Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

86 matches:

  1.    wt: 96:   15 Arc or Inverse Trigonometric Function/
  2.    wt: 96:   12 Function Translating and Rescaling/
  3.    wt: 93:   3 Cartesian and Polar Coordinates/
  4.    wt: 93:   6 More Less Greater Than Inequalities and Comparison/
  5.    wt: 93:   12 Comparison of Unsigned and Signed Numbers/
  6.    wt: 93:   9 Combinatorics Trees Tables and Products/
  7.    wt: 90:   4 Remainder Arithmetic and Divisibility/
  8.    wt: 88:   7 Arithmetic and Fractions with Units/
  9.    wt: 86:   10 LCM GCD and Euclid GCD Algorithm/
  10.    wt: 82:   4 Lines and Slopes Take 1/
  11.    wt: 82:   1 Maps Plans Measurement/
  12.    wt: 82:   9 Proportionality Backwards and Forwards/
  13.    wt: 82:   12 Webvideo Lessons on Area and Volume Calculation/
  14.    wt: 81:   8 Unit Circle Trigonometry/
  15.    wt: 81:   6 Trigonometry first steps/
  16.    wt: 81:   A Origins of Counting and Figuring Methods/
  17.    wt: 81:   8 Arithmetic with Signed Numbers/
  18.    wt: 80:   7 Axioms Logic and Equivalent Equations/
  19.    wt: 80:   4 Computation Rules and Function Notation/
  20.    wt: 79:   Progressive Observable Motivated Mathematics Education/
  21.    wt: 78:   11 Squares and Square Roots/
  22.    wt: 78:   3 Prime Factorization Skills/
  23.    wt: 77:   5 What is Similarity/
  24.    wt: 76:   2 Arithmetic with Decimals/
  25.    wt: 75:   2 Natural Logarithms Exponentials Powers Roots/
  26.    wt: 75:   10 Examples of Algebraic Reasoning/
  27.    wt: 75:   2 Formula Forward Use Evaluation/
  28.    wt: 74:   5 Factored Polynomial Sign Analysis Examples/
  29.    wt: 74:   B Real Numbers Extrinsic Development/
  30.    wt: 73:   6 Fractions and Ratios/
  31.    wt: 73:   38 Lessons on Calculating Derivatives/
  32.    wt: 72:   1 Decimal Place Value/
  33.    wt: 71:   7 Complex Numbers/
  34.    wt: 68:   PreSchool and Primary Mathematics or Quantitative Skills/
  35.    wt: 67:   8 Unifying Theme For Algebra/
  36.    wt: 65:   LAMP Lean Applied Mathematics Program/
  37.    wt: 65:   13 Vectors/
  38.    wt: 65:   3 Solving Linear Equations/
  39.    wt: 65:   13 Lessons on Limits and Continuity/
  40.    wt: 63:   4 Lessons on Using Derivatives/
  41.    wt: 60:   Time Date Matters/
  42.    wt: 58:   5 Integers/
  43.    wt: 58:   Secondary Mathematics A Practical Approach/
  44.    wt: 57:   5 Lessons on Integration/
  45.    wt: 56:   1 Working With Sets/
  46.    wt: 55:   1 Five Polynomial Operations/
  47.    wt: 54:   3 Quadratics Geometrically/
  48.    wt: 54:   Mathematics 506 Lessons/
  49.    wt: 52:   Mathematics Education Essays/
  50.    wt: 52:   5 Real Numbers/
  51.    wt: 50:   Geometry maps plans trigonometry vectors/
  52.    wt: 48:   Mathematics Skill Development Framework/
  53.    wt: 44:   Volume 1A Regles et modeles/
  54.    wt: 43:   Arithmetic and Number Theory Skills/
  55.    wt: 43:   Volume 1B Mathematics Curriculum Notes/
  56.    wt: 41:   Mathematics Skills Year by Year/
  57.    wt: 38:   Direct Current Electric Circuits/
  58.    wt: 38:   Volume 1A Pattern Based Reason/
  59.    wt: 38:   Resources and Reciprocal Links/
  60.    wt: 37:   Volume 3 Why Slopes A Calculus Intro Etc/
  61.    wt: 36:   4 Functions/
  62.    wt: 36:   Volume 2 Three Skills For Algebra/
  63.    wt: 35:   Skills with take home value/
  64.    wt: 32:   Algebra Starter Lessons/
  65.    wt: 29:   Volume 1 Elements of Reason/
  66.    wt: 27:   70 Calculus Starter Lessons/
  67.    wt: 26:   Work and Study Tips/
  68.    wt: 23:   Quebec Material/
  69.    wt: 20:   Parent Center/
  70.    wt: 20:   More Algebra/
  71.    wt: 16:   francais/
  72.    wt: 15:   Archives/
  73.    wt: 15:   Advanced Calculus Volume 3 Appendices/
  74.    wt: 127:   B Decimal Comparing and Subtracting Methods/
  75.    wt: 122:   A Decimal Counting and Adding Methods/
  76.    wt: 115:   C Decimal Multiplication Methods/
  77.    wt: 114:   Step 2 Algebraic solutions for one unknown/
  78.    wt: 113:   D Decimal Long Division Methods/
  79.    wt: 112:   Step 3 Easy systems in 2 or more unknowns/
  80.    wt: 108:   Step 1 Stick diagram and fractions/
  81.    wt: 107:   2 Euclidean Geometry Constructions Theory extras/
  82.    wt: 106:   10 Intersecting Straight Lines and Transversals/
  83.    wt: 105:   9 Lines and Slopes Take 2 with tangent function/
  84.    wt: 104:   14 Degrees to Radians and Radians to Degrees/
  85.    wt: 104:   11 Parallel Straight Lines and Transversals/
  86.    wt: 100:   Step 4 Gaussian Elimination/

Web Page Search

1146 matches:

  1.    wt: 9:   Summary
  2.    wt: 9:   Foreword
  3.    wt: 9:   Foreword
  4.    wt: 9:   Foreword
  5.    wt: 8:   A1. Introduction
  6.    wt: 86:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  7.    wt: 83:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 82:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  9.    wt: 80:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  10.    wt: 77:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  11.    wt: 76:   Construction Methods and Criteria for Isometric and Similar Triangles
  12.    wt: 74:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  13.    wt: 74:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  14.    wt: 72:   Primary and Secondary Skills and Practices with Take Home Value
  15.    wt: 72:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  16.    wt: 70:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  17.    wt: 70:   Analytic View of Triangle Construction or Line Instersection More
  18.    wt: 70:   9 Place Value Review Decimal form of Avogrados number included
  19.    wt: 6:   liens
  20.    wt: 69:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  21.    wt: 69:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  22.    wt: 68:   6 Measuring via counting or arithmetic the role of fractions
  23.    wt: 67:   SAS Method For Isometric Or Proportional Triangle Construction
  24.    wt: 66:   14 Why Scalar Multiplication Distributes Physical Argument
  25.    wt: 66:   Proportionality of Line Segments From Parallel Transversals
  26.    wt: 66:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  27.    wt: 66:   Talking pdf files for online lessons a webvideo alternative
  28.    wt: 65:   C Equality for Fractions and Two Term Ratios and Fractions
  29.    wt: 65:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  30.    wt: 65:   4 Money Matters Saving Earning Buying Selling and Budgets
  31.    wt: 65:   Systematic Algebra Skill Development Missing Links
  32.    wt: 64:   25 Absolute Value greatest integer and saw tooth functions
  33.    wt: 64:   Fraction Operations by Raising Terms A Simple Innovation
  34.    wt: 64:   2 Identifying Size and Position Place and Spatial Sense
  35.    wt: 64:   Ends Values Methods For Skill Development Framework Prequel
  36.    wt: 63:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  37.    wt: 63:   23 Modularized Skill Development Modularized Rigor Take III
  38.    wt: 63:   3 Natural Logarithms and Exponentials Basic Properties
  39.    wt: 63:   Chapter 29 Contrapositive and Vacuously True Implications
  40.    wt: 63:   Chapter 22 Contrapositive and Vacuously True Implications
  41.    wt: 63:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  42.    wt: 62:   27 Graduated Correction and Penalties for Young Offenders
  43.    wt: 62:   23 Modularized Skill Development Modularized Rigor Take IV
  44.    wt: 62:   23 Modularized Skill Development Modularized Rigor Take II
  45.    wt: 62:   Rewriting algebraic substitution as function substitutions
  46.    wt: 62:   5 Trigonometric Ratios For Tangent and Special Triangles
  47.    wt: 62:   2 Similar Triangles Equality of Corresponding Side Ratios
  48.    wt: 62:   9 Circle Area and Perimeter Formula Backwards Forwards
  49.    wt: 61:   6 Polynomial Operations and Equivalent Computation Rules
  50.    wt: 61:   11 tangent function undefined when terminal side vertical
  51.    wt: 61:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  52.    wt: 61:   Chapter 14 Deductive and Empirical Views of Mathematics
  53.    wt: 61:   3 Telling Tracking Time Temporal and More Place Sense
  54.    wt: 60:   3 Straight Lines Slope as Tangent of Inclination Angle
  55.    wt: 60:   30 unit circle calculation of six trigonometric functions
  56.    wt: 60:   10 Similarity of Triangles Equivalent of Two Criteria
  57.    wt: 60:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  58.    wt: 59:   Parallel Lines and Alternating Corresponding Angles
  59.    wt: 59:   Video Decimal Multiplication Geometric View Example 2
  60.    wt: 59:   Video Decimal Multiplication Geometric View Example 2
  61.    wt: 59:   5 More on Groups of 3 Place Value in Decimal Fractions
  62.    wt: 59:   Chapter 2 Implication Rules Forwards and Backwards
  63.    wt: 59:   Chapter 16 Origins and Limitations of Rules and Patterns
  64.    wt: 59:   Chapter 4 Implication Rules Forwards and Backwards
  65.    wt: 59:   G. Written work formats for developing and showing skill
  66.    wt: 59:   1 From Number Recognition and Counting to Arithmetic A
  67.    wt: 59:   Multiple Ways to Improve Mathematics Skill Development
  68.    wt: 58:   chapitre 07 00 Des chaines plus longues de la raison
  69.    wt: 58:   1 Written work formats for developing and showing skill
  70.    wt: 58:   A Similarities between Fractions and Two Term Ratios
  71.    wt: 58:   19 Remainder Arithmetic Rule of 9 for checking sums III
  72.    wt: 58:   11 Remainder Arithmetic Long Division by 5 Quickly more
  73.    wt: 58:   Postscript One Sided and Intermediate Value Theorems
  74.    wt: 58:   Chapter 14 Limits and Continuity with and sans Decimals
  75.    wt: 58:   Chapter 14. Forward and Backward Use of a Formula
  76.    wt: 58:   Postscript Unifying Theme A Fourth Skill For Algebra
  77.    wt: 58:   V Reasons and Motivations for Logic and Mathematics
  78.    wt: 58:   Chapter 4 Logic for Reading Writing and Geometry etc
  79.    wt: 58:   1 From Number Recognition and Counting to Arithmetic B
  80.    wt: 57:   21 Graphs of functions given by Horizontal Line Method
  81.    wt: 57:   19 Pythagorean Identity For sine and cosine functions
  82.    wt: 57:   PS F Scalar Multiplication Distributes over Addition
  83.    wt: 57:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  84.    wt: 57:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  85.    wt: 57:   18 Remainder Arithmetic Rule of 9 for checking sums II
  86.    wt: 57:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  87.    wt: 57:   2 Groups of Three Place Value for Multidigit Decimals
  88.    wt: 57:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  89.    wt: 56:   25 Mathematics Education Leaving A Good Impression
  90.    wt: 56:   8 Formulas for Fractional Exponents with Logarithms
  91.    wt: 56:   4 Circle Sector Area proportional to Central Angle
  92.    wt: 56:   31 basic secant cosecant cotangent trig identities
  93.    wt: 56:   29 secant cosecant and cotangent for acute angles
  94.    wt: 56:   13 Navigation Location from Angles to 2 Landmarks
  95.    wt: 56:   15 Adding and Subtracting with Unlike Denominators
  96.    wt: 56:   17 Remainder Arithmetic Rule of 9 for checking sums I
  97.    wt: 56:   10 Names for Big Numbers and Powers of Ten Expansion
  98.    wt: 56:   Postscript D Reflections on Law of the Excluded Middle
  99.    wt: 56:   Chapter 17 Objective Ways Trial and Error Discovery
  100.    wt: 56:   P Exact Arithmetic With Whole Numbers and Fractions
  101.    wt: 55:   Math Ed if it must be short make it lean effective
  102.    wt: 55:   15 Head to Tails in place Addition Associative
  103.    wt: 55:   5 Reciprocals and Division for Fractions with Units
  104.    wt: 55:   6 Subtraction with Conversion Example with Exercises
  105.    wt: 54:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  106.    wt: 54:   8 quadratics backward use of various formulas
  107.    wt: 54:   16 cotangent function Definition Graph and Inverse
  108.    wt: 54:   13 cosecant function Definition Graph and Inverse
  109.    wt: 54:   2 Radian Measure Numerical Value of one degree
  110.    wt: 54:   7 Coordinate Addition and Scalar Multiplication
  111.    wt: 54:   27 Logarithmic use of products of sines and cosines
  112.    wt: 54:   7 Translations Rotations Reflections Dilatations
  113.    wt: 54:   5 Gaussian Elimination for 3 unknowns 2nd example
  114.    wt: 54:   5 Counting with Tables Trees Product Rule Take II
  115.    wt: 54:   14 Adding and Subtracting with Like Denominators
  116.    wt: 54:   10 Simplification of Fractions and Mixed Numerals
  117.    wt: 54:   7 Subtraction for Decimal Fractions with Exercises
  118.    wt: 54:   4 Subtraction with Conversions Borrows and Letter J
  119.    wt: 54:   Practical Methods Ends and Values for Arithmetic
  120.    wt: 54:   7 Evaluation by immediate or delayed substitution
  121.    wt: 54:   PostScript For and Against Decimal Perspectives
  122.    wt: 54:   Chapter 19. Exponentials and Natural Logarithms
  123.    wt: 53:   Education in mathematics science and technology
  124.    wt: 53:   fairness and inductive principles for instruction
  125.    wt: 53:   chapitre 07 01 principle D induction mathematique
  126.    wt: 53:   23 Modularized Skill Development Modularized Rigor
  127.    wt: 53:   17 Math Booklets for children and young teenagers
  128.    wt: 53:   6 Discipline Who is in Charge Conserving Authority
  129.    wt: 53:   5 Function notation for geometric transformations
  130.    wt: 53:   7 Formulas for Roots with Logarithms Derivation
  131.    wt: 53:   6 Formulas for Even and Odd Roots with Logarithms
  132.    wt: 53:   15 cosecant function Definition Graph and Inverse
  133.    wt: 53:   6 sines and cosines for reference angle 30 degrees
  134.    wt: 53:   5 sines and cosines for reference angle 60 degrees
  135.    wt: 53:   4 sines and cosines for reference angle 45 degrees
  136.    wt: 53:   3 sines and cosines for reference angle 90 degrees
  137.    wt: 53:   17 Arrows Rotate to Reverse with Length Unchanged
  138.    wt: 53:   11 Signed Number Addition and Addition Properties
  139.    wt: 53:   10 Remainder Arithmetic Long Division by 5 Quickly
  140.    wt: 53:   6 Why Decimal Long Division Methods Works Take I
  141.    wt: 53:   3 Harder Cases Convert to Compare and Subtract
  142.    wt: 53:   1 Comparison and Subtraction Easy Direct Cases
  143.    wt: 53:   7 Adding decimal fractions using decimal point
  144.    wt: 53:   1 Two cubic sketching exercises with 1st derivative
  145.    wt: 53:   38 Formulas and derivatives for powers and roots
  146.    wt: 53:   27 Chain Rule sinusoidal outer inner functions EGS
  147.    wt: 53:   G.6 Bounded Derivatives implies Lipshitz Continuity
  148.    wt: 53:   G.2 Differentiable Functions Mean Value Theorem
  149.    wt: 53:   Postscript Pythagorean Theorem yet another proof
  150.    wt: 53:   Chapter 10 Describing and Changing Calculations
  151.    wt: 52:   5 Patience Please for Yourself and Your Charges
  152.    wt: 52:   3 Circle Arclengh Proportional to Central Angle
  153.    wt: 52:   D Straight Lines Slope from Coordinates Examples
  154.    wt: 52:   13 Straight Lines Finding Equations from 2 points
  155.    wt: 52:   25 tangent double angle formula Slope connection
  156.    wt: 52:   22 sine of 22.5 degrees via half angle formulas
  157.    wt: 52:   17C sine and cosine double triple angle formulas
  158.    wt: 52:   4 Trigonometric Ratios For Two Special Triangles
  159.    wt: 52:   PS C Similarity Use Recognize it in Trigonometry
  160.    wt: 52:   8 Division and Mulplication of Compound Fractions
  161.    wt: 52:   4 Rectangle Area and Like Formulas Backwards
  162.    wt: 52:   3 Gaussian Elimination 3 unknowns first example
  163.    wt: 52:   14 GCD of 650 110 via Primes LCM via Product Rule
  164.    wt: 52:   9 GCD of 360 110 via Primes and Euclid Algorithm
  165.    wt: 52:   18 video Count Factors given Prime Factorization
  166.    wt: 52:   15 video Factors of 20 using Prime Factorization
  167.    wt: 52:   Long Division forwards and backwards Example 3
  168.    wt: 52:   Long Division forwards and backwards Example 2
  169.    wt: 52:   Long Division forwards and backwards Example 1
  170.    wt: 52:   3. How to add with decimals A sans conversions
  171.    wt: 52:   11 Place Value SI Standard International way
  172.    wt: 52:   16 Derivatives of reciprocals of sine and cosine
  173.    wt: 52:   13 Limits with Parameters and Derivatives Take II
  174.    wt: 52:   Q How Logic and Proofs extend Show Work Practices
  175.    wt: 52:   More Algebra and Slope based Calculus Preview
  176.    wt: 51:   11 Help and Defend Your Child or Teens Education
  177.    wt: 51:   14 secant function Definition Graph and Inverse
  178.    wt: 51:   16 Right Triangle Complementary Angle Relations
  179.    wt: 51:   11 sine and cosine double triple angle formulas
  180.    wt: 51:   5 Similarity of Circles Squares and Rectangles
  181.    wt: 51:   6 Intersection of lines by solving linear systems
  182.    wt: 51:   2 Combing Counts Addition Skills and Principles
  183.    wt: 51:   6 Equations and Systems Equivalent or Implied
  184.    wt: 51:   2 Essentially one exercises three with solution
  185.    wt: 51:   2 Least Common Multiple LCM intro via list method
  186.    wt: 51:   4 Groups of 3 Place Value in Decimal Fractions
  187.    wt: 51:   012 Division of Time Intervals by Time Intervals
  188.    wt: 51:   12 Limits with Parameters and Derivatives Take I
  189.    wt: 51:   3 Decimal insights for limits continuity convergence
  190.    wt: 51:   Chapter 24. Personal Investment and Pension EGS
  191.    wt: 50:   Appendix 1 primary and preschool mathematic
  192.    wt: 50:   7 logic review and decimals an odd combination
  193.    wt: 50:   chapitre 04 10 Etapes pour une meilleur raison
  194.    wt: 50:   19 Extending the Oral Dimension of Mathematics
  195.    wt: 50:   24 Monotoncity Injectivity and Inverse Functions
  196.    wt: 50:   17 Function maxima minima and their location
  197.    wt: 50:   4 Function notation in and beyond mathematics
  198.    wt: 50:   Straight Lines Instersection Solving Equations
  199.    wt: 50:   10 Straight Lines through Origin Equations More
  200.    wt: 50:   25 Mid way Convergence to Axiomatic Approach
  201.    wt: 50:   3 GE III Equation Addition and Multiplication
  202.    wt: 50:   6 Pythagorean Hypotenuse Calculation Example
  203.    wt: 50:   10 Euclid Algorithm with 129 125 and with 45 14
  204.    wt: 50:   C Divisibility by 11 Integer Recognition Method
  205.    wt: 50:   A Decimals Modular and Remainder Arithmetic
  206.    wt: 50:   3 video Primes and Composites from 9 times table
  207.    wt: 50:   A Elementary Basis for Multiplication Methods
  208.    wt: 50:   Appendix 1 Decimals Comparison Method Take II
  209.    wt: 50:   4. How to add with decimals B with conversions
  210.    wt: 50:   9 Comparison and Subtraction of Time Intervals
  211.    wt: 50:   Chapter 24 Logarithms Powers and Exponentials
  212.    wt: 50:   Chapter 9 Talking about Numbers or Quantities
  213.    wt: 50:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  214.    wt: 49:   Applied Maths Program14092009 POMME variant
  215.    wt: 49:   11 Function Domain Range Source and Targets
  216.    wt: 49:   9 Formulas for Real Exponents with Logarithms
  217.    wt: 49:   Parallel Lines and Parallel Transversals
  218.    wt: 49:   28 Expressing products of sines cosines as sums
  219.    wt: 49:   18 sum of sinusoidal waves as a single wave
  220.    wt: 49:   17D cis formulas for sine cosines and tangent
  221.    wt: 49:   17A The complex number valued trig function cis
  222.    wt: 49:   1 Numerical view of lines and their equations
  223.    wt: 49:   7 Arithmetic with Infinite Decimal Expansions
  224.    wt: 49:   3 Location of Point in Decimal Multiplication
  225.    wt: 49:   1 Decimals Modular and Remainder Arithmetic
  226.    wt: 49:   2 More and Less Than for Counts and Measures
  227.    wt: 49:   12 Real Number Additive Inverses or Negatives
  228.    wt: 49:   1 More and Less Than for Counts and Measures
  229.    wt: 49:   6 Multiplication Commutes Order Not Important
  230.    wt: 49:   Appendix 2 Three Decimal Subtraction Methods
  231.    wt: 49:   Appendix 1 Counting Revisited 15 minute video
  232.    wt: 49:   6. Counting and adding units and mixed units
  233.    wt: 49:   8 Addition of Time Intervals via subtotaling
  234.    wt: 49:   26 Chain Rule Recognising outer inner functions
  235.    wt: 49:   17 Derivatives of quotients of sine and cosine
  236.    wt: 49:   Appendix E. How To Study Mathematics and Why
  237.    wt: 49:   Chapter 25. Mathematical Induction Examples
  238.    wt: 49:   Postscript B Mathematics Education References
  239.    wt: 49:   Postscript C Consistency as a Tool for Reason
  240.    wt: 49:   Chapter 12 Islands and Divisions of Knowledge
  241.    wt: 49:   5 Interpreting and Drawing Maps and Plans.
  242.    wt: 48:   chapitre 03 A Propos Des Prochains Chapitre
  243.    wt: 48:   5 Polynomials Long division Nonlinear divisor
  244.    wt: 48:   10 arctan left inverse of tangent Definition
  245.    wt: 48:   B Straight Line Slope Scaling Properties More
  246.    wt: 48:   6 Tangent Function Inclination Angle Take 2
  247.    wt: 48:   26 Formulas for products of sines and cosines
  248.    wt: 48:   17E Trig Formulas for dot and cross Products
  249.    wt: 48:   14 cosine even and sine and tangent are odd
  250.    wt: 48:   12 cis formulas for sine cosines and tangent
  251.    wt: 48:   7 Exercises to test skill and concept mastery
  252.    wt: 48:   5 Drawing to Scale Avoids Angle Distortions
  253.    wt: 48:   5 Fractions with Infinite Decimal Expansions
  254.    wt: 48:   4 Fraction Operations Axiomatic Development
  255.    wt: 48:   8 Pythagorean Relation Forwards Backwards
  256.    wt: 48:   2 signed and unsigned numbers as coordinates
  257.    wt: 48:   8 Numerals Fractionals Quantals Take II
  258.    wt: 48:   10 video Prime Factorization upto 23 squared
  259.    wt: 48:   3 More on Groups of 3 Multi Digit Place Value
  260.    wt: 48:   G.4 Lipschitz Continuity implies EquiContinuity
  261.    wt: 48:   Chapter 5 Islands and Divisions of Knowledge
  262.    wt: 48:   Chapter 6 Rule Based Reason in Mathematics
  263.    wt: 48:   Postscript B More on Story Telling and Reason
  264.    wt: 48:   H more Routine to non routine problem solving
  265.    wt: 48:   Appendix A Calculus with Proofs for Keen or Gifted
  266.    wt: 47:   C LAMP Introduction Culture in Mathematics Education
  267.    wt: 47:   chapitre 04 05 Implication versus suggestion
  268.    wt: 47:   20 Interchanging coordinates a reflection
  269.    wt: 47:   3 Left Inverse of cosine arccos definition
  270.    wt: 47:   Straight Lines ASA Intersection Study More
  271.    wt: 47:   15 sine cosine Complementary Angle Relations
  272.    wt: 47:   10 Graphs of sines and cosines many periods
  273.    wt: 47:   13 Trig Formulas for dot and cross Products
  274.    wt: 47:   6 Trigonometry Sines of Supplementary Angles
  275.    wt: 47:   13 Pythagorean spatial distance formulas
  276.    wt: 47:   16 Angles Subtended By Chords and Diameters
  277.    wt: 47:   18 Geometrically Why Vector Addition Commutes
  278.    wt: 47:   14 Vector Head to Tail Sums and Resultants
  279.    wt: 47:   6 Column Methods for Decimal Multiplication
  280.    wt: 47:   1 Formulas Dependence and Function Notation
  281.    wt: 47:   2 Another Rectangle Area Formula Example
  282.    wt: 47:   10 Set View of Wordy Extensions To Arithmetic
  283.    wt: 47:   16 Addition Subtraction Comparision Compared
  284.    wt: 47:   11 Adding Integers Formulas and Examples
  285.    wt: 47:   8 Multiplication by Signed Numbers Integers
  286.    wt: 47:   8 Remainder Arithmetic Morulo 5 Examples II
  287.    wt: 47:   4 Remainder Arithmetic Modulo 10 in general
  288.    wt: 47:   3 Remainder Arithmetic Modulos 10 more still
  289.    wt: 47:   9 video Prime Factorization upto 19 squared
  290.    wt: 47:   1 video how Products are bigger than factor
  291.    wt: 47:   Video Power Notation in Decimal Expansion
  292.    wt: 47:   A Chain Rule Real Player video examples
  293.    wt: 47:   33 Chain Rule Real Player video examples
  294.    wt: 47:   G.1 Differentiable Functions Rolles Theorem
  295.    wt: 47:   N Mathematics Prepare for College Studies
  296.    wt: 47:   Helping the Blind in Logic and Mathematics
  297.    wt: 46:   B LAMP Introduction Curriculum Development Standards
  298.    wt: 46:   C Electromotive force conventional current02
  299.    wt: 46:   B Electromotive force conventional current01
  300.    wt: 46:   9 quadratics physical and further context
  301.    wt: 46:   5 Natural Logarithm Calculator Exercises
  302.    wt: 46:   17B sine cosine Angle Sum Formulas via cis
  303.    wt: 46:   12 Graph of tangent function for one period
  304.    wt: 46:   9 Graphs of sine and cosine over one period
  305.    wt: 46:   Right Triangle and Unit Circle Trigonometry
  306.    wt: 46:   9 The complex number valued trig function cis
  307.    wt: 46:   Right Triangle and Unit Circle Trigonometry
  308.    wt: 46:   11 Triangle Similarity Missing Side Problem
  309.    wt: 46:   9 Pythagorean Theorem Chinese Square Proof
  310.    wt: 46:   PS E Multiplication with Polar Coordinates
  311.    wt: 46:   21 Addition of Multiples of a Single Vector
  312.    wt: 46:   2 Counting Digits in Decimal Multiplication
  313.    wt: 46:   1 Fractions with Finite Decimal Expansions
  314.    wt: 46:   7 Decimals Multiplication Methods Examples
  315.    wt: 46:   2 Fraction Operations Physical Development
  316.    wt: 46:   7 Pythagorean Theorem Chinese Square Proof
  317.    wt: 46:   3 Geometric Formulas and Function Notation
  318.    wt: 46:   25 Divisibility Tests for 2 3 5 9 10 Example
  319.    wt: 46:   16 Remainder Arithmetic Modulo 9 Example 2
  320.    wt: 46:   7 Remainder Arithmetic Modulo 5 Examples I
  321.    wt: 46:   Area Between Crossing Curves Lesson Take 2
  322.    wt: 46:   Area Between Crossing Curves Lesson Take 1
  323.    wt: 46:   25 Chain Rule Animated Examples Continued
  324.    wt: 46:   5 Jumps and absence of unlimited error control
  325.    wt: 46:   G.2 Lipshitz Conditions Integration Calculus Reform
  326.    wt: 46:   1 Links to Online Resources Elsewhere Take 1
  327.    wt: 45:   24 Standards For Skill Develoment Take II
  328.    wt: 45:   22 Student Centered Highschool Mathematics
  329.    wt: 45:   Ages 12 to 14 Skills with take home value
  330.    wt: 45:   9 Set theory term relation possible origins
  331.    wt: 45:   4 Polynomials Long division linear divisor
  332.    wt: 45:   9 Summary Degrees to Radians and back
  333.    wt: 45:   14 Straight Lines Equations General Case
  334.    wt: 45:   23 sine and cosine of 180 plus 22.5 degrees
  335.    wt: 45:   13 Graph of tangent function many periods
  336.    wt: 45:   10 sine cosine Angle Sum Formulas via cis
  337.    wt: 45:   9 Similarity of Triangles Usual Criteria
  338.    wt: 45:   1 Early Concept of Like or Similar Shapes
  339.    wt: 45:   PS D Addition with Cartesian Coordinates
  340.    wt: 45:   9 Division with Digits after Decimal Point
  341.    wt: 45:   8 Column Multiplication Methods in General
  342.    wt: 45:   3 Multiplicative Counting Skills Principles
  343.    wt: 45:   5 Proportionality in Equivalent Fractions
  344.    wt: 45:   6 Compound Interest Forward and Backwards
  345.    wt: 45:   3 Linear Equation Literal Solution More
  346.    wt: 45:   5 Greater More Less Than Signs in General
  347.    wt: 45:   4 Greater More Less Than Signs in General
  348.    wt: 45:   4 Counting with Trees Product Rule Take I
  349.    wt: 45:   3 signed coordinates for maps and planes
  350.    wt: 45:   6 Multiplication Algebraically Take II
  351.    wt: 45:   4 Adding Movements wiht opposite directions
  352.    wt: 45:   12 Remainder Arithmetic Modulo 10 Example
  353.    wt: 45:   17 Identify and Count Factors using Primes
  354.    wt: 45:   5 Prime Factorization and a Square Rule
  355.    wt: 45:   8 What skills and work habits to require
  356.    wt: 45:   1 Place Value in Three Digit Whole Numbers
  357.    wt: 45:   Example 1. Area Between x and x squared
  358.    wt: 45:   4 Definite Integrals Evaluation Exercises
  359.    wt: 45:   1 Chain Rule in Reverse Integration Method
  360.    wt: 45:   10 Three one sided limits with infinite values
  361.    wt: 45:   B1 Pigeon Hole Principles from combinatorics
  362.    wt: 45:   Chapter 15. Algebraic Evaluation of Limits
  363.    wt: 45:   Chapter 11. Graphing Slope versus Position
  364.    wt: 45:   Chapter 7 Prep for Calculus Arithmetic Exercises
  365.    wt: 45:   F. The student teacher tutor feedback loop
  366.    wt: 44:   Appendix 2 primary school Arithmetic 01
  367.    wt: 44:   need for a mixed mathematics curriculum
  368.    wt: 44:   chapitre 04 07 RepetablesEtReproductibles
  369.    wt: 44:   chapitre 02 00 La Communication des idees
  370.    wt: 44:   12 Goals and Objectives For Mathematics
  371.    wt: 44:   16 Increasing or decreasing on intervals
  372.    wt: 44:   11 arctan left inverse of tangent Graph
  373.    wt: 44:   7 Radian Measures in special Triangles
  374.    wt: 44:   A Straight Line Slope Scaling Properties
  375.    wt: 44:   9 Straight Lines through Origin Equations
  376.    wt: 44:   20 sine and cosine Double Angle Formulas
  377.    wt: 44:   4 Similarity Definition with Coordinate
  378.    wt: 44:   3 Lengths and Areas on Maps and Plans
  379.    wt: 44:   24 Signed Numbers Arithmmetic Properties
  380.    wt: 44:   12 Real Numbers Line Signed Coordinates
  381.    wt: 44:   6 Infinite Decimals Ending in 9 repeating
  382.    wt: 44:   13 Naming Identifying Formulas with Words
  383.    wt: 44:   3 Properties of Square Roots with example
  384.    wt: 44:   4 signed coordinates for regions in space
  385.    wt: 44:   15 Remainder Arithmetic Modulo 9 Example
  386.    wt: 44:   14 Remainder Arithmetic Modulo 9 Example
  387.    wt: 44:   13 Remainder Arithmetic Modulo 5 Example
  388.    wt: 44:   6 Remainder Arithmetic Modulo 5 Propertie
  389.    wt: 44:   Exact Arithmetic Wholes and Fractions
  390.    wt: 44:   4 Second derivative test exercise example
  391.    wt: 44:   28 Chain Rule Preparation for a Proof
  392.    wt: 44:   Appendix D. What to do in School and Why
  393.    wt: 44:   Chapter 27 Shorthand Symbols as Pronouns
  394.    wt: 44:   Chapter 2 For and Against Mathematics
  395.    wt: 44:   Chapter 20 Shorthand Symbols as Pronouns
  396.    wt: 43:   three goals for Mathematics Education
  397.    wt: 43:   02 20 mathematics education references
  398.    wt: 43:   10 Ends values for work study instruction
  399.    wt: 43:   7 Tangent Function is odd on this domain
  400.    wt: 43:   2 Straight Lines Slopes As Rise Over Run
  401.    wt: 43:   21 sine and cosine Half Angle Formulas
  402.    wt: 43:   5 An Easy Proof of the Distributive Law
  403.    wt: 43:   1 Rectangular Polar Coordinates Review
  404.    wt: 43:   9 Midpoint Coordinates Half Endpoint Sum
  405.    wt: 43:   10 Pythagorean plane distance formula
  406.    wt: 43:   5 Cartesian Addition and Translation
  407.    wt: 43:   PS B Parallelogram Construction Methods
  408.    wt: 43:   4 Angles on Maps Plans drawn to scale
  409.    wt: 43:   4 Location of Point in Decimal Addition
  410.    wt: 43:   5 Independent versus Dependent Variables
  411.    wt: 43:   4 Four Examples Fractional Coefficients
  412.    wt: 43:   8 Compound Interest Formula Evaluation
  413.    wt: 43:   5 Talking about Numbers and Quantities
  414.    wt: 43:   4 A Brief Story of numbers and algebra
  415.    wt: 43:   arithmetic videos Real Player Format
  416.    wt: 43:   6 Simplification of Fractions with Units
  417.    wt: 43:   21 Reciprocals for Fractions and Wholes
  418.    wt: 43:   13 Fraction Comparison Algebraic View
  419.    wt: 43:   B Integer Long Division Multiple Choices
  420.    wt: 43:   A Associative Law Theorectical Note
  421.    wt: 43:   2 Integers Multiplies of a Unit Moverment
  422.    wt: 43:   9 Remainder Arithmetic Divisibility by 5
  423.    wt: 43:   7 Calculator Usage Notes and Cautions
  424.    wt: 43:   6 Sieve of Eratosthenes and Square Rule
  425.    wt: 43:   D Decimal Multiplication Methods Derived
  426.    wt: 43:   Subtraction with J Conversions Example
  427.    wt: 43:   8 Review Lesson 1 2 4 and 6 All in One
  428.    wt: 43:   016 Numbering Occidental Calendar Days
  429.    wt: 43:   015 School and work day counting tables
  430.    wt: 43:   011 Division of Time Intervals By Numbers
  431.    wt: 43:   010 Repeated Addition of Time Intervals
  432.    wt: 43:   Chapter 26 What is in chapters 27 to 31
  433.    wt: 43:   Chapter 19 What is in chapters 20 to 24
  434.    wt: 43:   J. More on written work and showing skill
  435.    wt: 43:   7 Games and Activities for Instruction
  436.    wt: 42:   grouping students according to ability
  437.    wt: 42:   04 25 when to stop or suspend mathemat
  438.    wt: 42:   chapitre 04 00 Les regles d implication
  439.    wt: 42:   12 Function Domain Recognition Exercises
  440.    wt: 42:   6 Set Existence Formation and Notation
  441.    wt: 42:   3 Formula or function graphing exercise
  442.    wt: 42:   4 quadratics difference of two squares
  443.    wt: 42:   10 Exponential Growth and Decay Models
  444.    wt: 42:   2 Square Root Simplification a prequel
  445.    wt: 42:   7 arcsin left inverse of sine Definition
  446.    wt: 42:   5 Swapping Coordinates is a reflection
  447.    wt: 42:   Straight Lines ASA Intersection Study
  448.    wt: 42:   C Straight Lines Slope from Coordinates
  449.    wt: 42:   8 Straight Lines Equation for vertical
  450.    wt: 42:   17 tangent function angle sum formulas
  451.    wt: 42:   8 Unit Circle Development of Trigonometry
  452.    wt: 42:   8 Similarity of Triangles and Polygons
  453.    wt: 42:   3 Similarity by Design with coordinates
  454.    wt: 42:   PS H Distributive Law For Complex Numbers
  455.    wt: 42:   PS G Rotation Distributes over Addition
  456.    wt: 42:   16 Collinear Horizontal Arrows Vectors
  457.    wt: 42:   4 Commutative Law Groups Counting Form
  458.    wt: 42:   4 Solving a triangular system exercise
  459.    wt: 42:   6 Three Notions of What is a Variable
  460.    wt: 42:   7 GCD and LCM from prime factorization
  461.    wt: 42:   17 Efficient Ways to Add and Subtract
  462.    wt: 42:   11 Simplification an Algebraic View
  463.    wt: 42:   11 Another Single Digit Divisor Example
  464.    wt: 42:   10 Division by Five Long and Short Ways
  465.    wt: 42:   Expression Evaluation how to show work
  466.    wt: 42:   15 sine and cosine derivatives 3rd step
  467.    wt: 42:   14 sine and cosine derivatives 2nd step
  468.    wt: 42:   13 sine and cosine derivatives 1st step
  469.    wt: 42:   3 Motivation for Limit Definition Take 2
  470.    wt: 42:   2 Motivation for Limit Definition Take 1
  471.    wt: 42:   Annotated Links to Material Elsehwere
  472.    wt: 42:   Chapter 4 Complex Numbers and Why Slopes
  473.    wt: 42:   Chapter 9 What is in Chapters 10 to 18
  474.    wt: 42:   O On Learning Mathematics and Science
  475.    wt: 42:   Chapter 6 More Algebra and Geometry
  476.    wt: 41:   Different Kinds of Reasoning in maths
  477.    wt: 41:   three kinds of reason in mathematics
  478.    wt: 41:   Four ways to improve education reform
  479.    wt: 41:   3 Polynomials Multiplication Addition
  480.    wt: 41:   35 sines and cosines of 2A 3A 4A 5A
  481.    wt: 41:   34 sines and cosines of 2A 3A 4A 5A
  482.    wt: 41:   33 sines and cosines of 2A 3A 4A 5A
  483.    wt: 41:   Unit Circle Development of Trigonometry
  484.    wt: 41:   21 Logarithms Powers and Exponentials
  485.    wt: 41:   16 References and Originality Question
  486.    wt: 41:   3 Trigonometric Ratios sine and cosine
  487.    wt: 41:   12 Triangles Similarity More Problems
  488.    wt: 41:   3 Slope product for perpendicular lines
  489.    wt: 41:   8 More Use of Maps Not Drawn to Scale
  490.    wt: 41:   2 Addition and Multiplication Axioms
  491.    wt: 41:   3 More and Less Than with Unlike Signs
  492.    wt: 41:   2 More and Less Than with Unlike Signs
  493.    wt: 41:   5 Square Roots with primes more still
  494.    wt: 41:   11 What are real lengths and numbers
  495.    wt: 41:   1 Addition and Subtraction with Units
  496.    wt: 41:   9 Improper Fractions and Mixed Numbers
  497.    wt: 41:   3 Adding Movements with same direction
  498.    wt: 41:   27 Divisibility by 2 3 6 5 9 10 Example
  499.    wt: 41:   3 Division Single Digit Divisor Example
  500.    wt: 41:   Formula Evaluation how to show work
  501.    wt: 41:   Chapter 18. Slopes Areas Integration
  502.    wt: 41:   Chapter 6. Slopes and Vertical Shifts
  503.    wt: 41:   Chapter 31 Direct and Indirect Reason
  504.    wt: 41:   Chapter 24 Direct and Indirect Reason
  505.    wt: 41:   N Improving Marks on Tests and Finals
  506.    wt: 41:   D. Check work a must with a caution
  507.    wt: 40:   teaching tutoring algebraic reason
  508.    wt: 40:   three aims for mathematics students
  509.    wt: 40:   Prequel In For A Penny In For A Pound
  510.    wt: 40:   chapitre 06 00 Chaines de la raison
  511.    wt: 40:   chapitre 04 04 Parlons de la logique
  512.    wt: 40:   sign monoticity analysis example 4
  513.    wt: 40:   sign monoticity analysis example 3
  514.    wt: 40:   sign monoticity analysis example 2
  515.    wt: 40:   sign monoticity analysis example 1
  516.    wt: 40:   26 Function definitions done and coming
  517.    wt: 40:   8 Set view of relations and functions
  518.    wt: 40:   2 Algebraic use of function notation
  519.    wt: 40:   3 quadratics factoring by inspection
  520.    wt: 40:   4 possible motivation for term arccos
  521.    wt: 40:   2 Graphing y=Af(x) Vertical Scaling
  522.    wt: 40:   Parallel Lines and Interior Angles
  523.    wt: 40:   2 Complex Numbers made easier we hope
  524.    wt: 40:   6 Polar Multiplication and Rotation
  525.    wt: 40:   A Measurement with Ruler Proper Use
  526.    wt: 40:   A Modular and Remainder Arithmetic
  527.    wt: 40:   23 Distributive Law Two Derivations
  528.    wt: 40:   B Decimal Comparison and Subtraction
  529.    wt: 40:   4 Rates Ratios and Proporitionality
  530.    wt: 40:   5 Triangle Area Formula Backwards
  531.    wt: 40:   Using Letters for Physical Quantities
  532.    wt: 40:   9 Sets in Probability and Statistics
  533.    wt: 40:   13 GCD from given Prime Factorization
  534.    wt: 40:   LCM 60 45 Avoid List Method Use Prime
  535.    wt: 40:   5 Zero Movement and Additive Inverses
  536.    wt: 40:   22 Remainder Arithmetic Modulo 3 more
  537.    wt: 40:   2 Remainder Arithmetic Modulo 10 more
  538.    wt: 40:   5 Long Division Include Zeroes or not
  539.    wt: 40:   Quick history of numbers and algebra
  540.    wt: 40:   34 Derivative of exponential function
  541.    wt: 40:   7 Animated Differentiation Examples
  542.    wt: 40:   Chapter 20 Vectors and Complex Numbers
  543.    wt: 40:   Appendix A. Reading Guide For Next Appendices
  544.    wt: 40:   Chapter 15. Solving Linear Equations
  545.    wt: 40:   Chapter 3 What is in chapters 4 to 8
  546.    wt: 40:   Chapter 3 Algebra Starter Lessons
  547.    wt: 39:   geometric implications for algebra
  548.    wt: 39:   mathematics instruction in general
  549.    wt: 39:   chapitre 04 08 Limitations et benefices
  550.    wt: 39:   22 Square Root function graphically
  551.    wt: 39:   12 From Applied To Pure Mathematics
  552.    wt: 39:   3 Navigation with Arrows or Vectors
  553.    wt: 39:   12 Straight Lines Graphing mx plus b
  554.    wt: 39:   24 tangent Angle Difference Formula
  555.    wt: 39:   Appetizer A Complex Number Applet
  556.    wt: 39:   8 Triangles Cascade Problem Solving
  557.    wt: 39:   1 Cartesian Coordinates sans signs
  558.    wt: 39:   Euclidean Geometry Elsewhere LINKS
  559.    wt: 39:   15 Triangle Angle Sum is 180 degrees
  560.    wt: 39:   26 More Less Greater Than Comparison
  561.    wt: 39:   A Decimal Addition Columm Methods
  562.    wt: 39:   3 Solving triangular system example
  563.    wt: 39:   11 GCD 2700 288 via Euclid Algorithm
  564.    wt: 39:   13 Subtraction with Additive Inverse
  565.    wt: 39:   6 Multiplication by Natural Numbers
  566.    wt: 39:   20 Uniqueness of Prime Factorization
  567.    wt: 39:   12 Why Long Division Works Take III
  568.    wt: 39:   C Counting Areas with Powers of Ten
  569.    wt: 39:   5. How to add decimals C. Examples
  570.    wt: 39:   G.3 Constant Difference Theorem Proof
  571.    wt: 39:   Chapter 4. More Slope Sign Analysis
  572.    wt: 39:   Postscript More on Better Performance
  573.    wt: 39:   Chapter 16. Painless Theorem Proving
  574.    wt: 39:   Chapter 7 Two Treatments of Geometry
  575.    wt: 39:   H Jigsaw puzzles and problem solving
  576.    wt: 39:   Chapter 7 Calculus Previews and Calculus Lightly
  577.    wt: 38:   Ramblings Extrinsic numbers theory
  578.    wt: 38:   chapitre 04 09 Regles accidentelles
  579.    wt: 38:   2 Conductance Resistance Duality02
  580.    wt: 38:   1 Conductance Resistance Duality01
  581.    wt: 38:   14 Multiplication and Times Tables
  582.    wt: 38:   8 arcsin left inverse of sine Graph
  583.    wt: 38:   8 Radian Measures of Common Angles
  584.    wt: 38:   Triangle Angles Sum To 180 Degrees
  585.    wt: 38:   7 Second Way to Calculate Products
  586.    wt: 38:   8 Distance Between Points on a Line
  587.    wt: 38:   3 Rectangular Coordinates Review
  588.    wt: 38:   2 Cartesian Coordinates with signs
  589.    wt: 38:   17 Right Bisectors of Triangle Sides
  590.    wt: 38:   10 Dropping a perpendicular to line
  591.    wt: 38:   6 Ruler and compass Angle Bisection
  592.    wt: 38:   3 Isometry of Triangles Congruence
  593.    wt: 38:   musings do not puiblish real numbers
  594.    wt: 38:   C Three Decimal Subtraction Methods
  595.    wt: 38:   5 Distributive Law for Whole Numbers
  596.    wt: 38:   2 Linear Equation Literal Solution
  597.    wt: 38:   8 Coordinates for Maps and Planes
  598.    wt: 38:   7 Cautious or Safe Set Construction
  599.    wt: 38:   16 GCD and LCM of 650 225 via Prime
  600.    wt: 38:   3 Counting with Tables and Trees II
  601.    wt: 38:   19 video Prime Factorization Unique
  602.    wt: 38:   8 video Prime Factorization upto 19
  603.    wt: 38:   2 Division with Single Digit Divisors
  604.    wt: 38:   9 22 Minute Subtraction Review Video
  605.    wt: 38:   8 Subtraction with Units of Measure
  606.    wt: 38:   4 Mixing and Changing Units of Time
  607.    wt: 38:   Chapter 16. Velocity Approximation
  608.    wt: 38:   Chapter 8 Three Skills For Algebra
  609.    wt: 38:   A. Skill has to be seen to believed
  610.    wt: 37:   5 logarithms and exponentials etc
  611.    wt: 37:   Mathematics Education Professors
  612.    wt: 37:   chapitre 12 00 les iles et division
  613.    wt: 37:   Trois Notions qui menent a algebre
  614.    wt: 37:   9 Streaming by Student Cooperation
  615.    wt: 37:   19 Horizontal line rule and method
  616.    wt: 37:   14 Surjections Injections Bijections
  617.    wt: 37:   1 Geometric Introduction of Function Notation
  618.    wt: 37:   6 quadratics numerical approach
  619.    wt: 37:   5 quadratics completing the square
  620.    wt: 37:   2 quadratics graphing in general
  621.    wt: 37:   10 Parallelogram Addition Method
  622.    wt: 37:   32 seven rows of pascals triangle
  623.    wt: 37:   1 Unit Points Reflections Rotations
  624.    wt: 37:   4 Equations for lines three forms
  625.    wt: 37:   4 Polar Coordinates to and from
  626.    wt: 37:   Short Course on Euclidean Geometry
  627.    wt: 37:   22 Multiplication of Signed Numbers
  628.    wt: 37:   13 Arrows and Vectors in a Plane
  629.    wt: 37:   4 Subtraction and Division Axioms
  630.    wt: 37:   9 Coordinates for Regions in Space
  631.    wt: 37:   7 Real Numbers as Line Cordinates
  632.    wt: 37:   12 Cone Cylinder Sphere Lesson Idea
  633.    wt: 37:   3 Triangle Area Formula Example
  634.    wt: 37:   2 Counting with Tables and Trees I
  635.    wt: 37:   7 Numerals Fractionals Quantals
  636.    wt: 37:   12 Adding Integers More Examples
  637.    wt: 37:   10 Integer Multiplication Formulas
  638.    wt: 37:   24 Divisibility Tests for 2 3 5 9 10
  639.    wt: 37:   16 video Factors of 980 using prime
  640.    wt: 37:   2 Prime and Composites less than 16
  641.    wt: 37:   9 Why Long Division Works Take II
  642.    wt: 37:   5 Decimal Fraction Multiplication
  643.    wt: 37:   Subtraction Another Video Lesson
  644.    wt: 37:   2 Subtraction Easy Case Examples
  645.    wt: 37:   2 Time and Date Matters in School
  646.    wt: 37:   1 Intro of Kids To Time Date Skills
  647.    wt: 37:   Area Between Curves Lesson Take 2
  648.    wt: 37:   Area Between Curves Lesson Take 1
  649.    wt: 37:   31 Derivatives of inverse functions
  650.    wt: 37:   19 Chain Rule for linear functions
  651.    wt: 37:   10 Power rule for negative integers
  652.    wt: 37:   11 Limits at infinity Three Examples
  653.    wt: 37:   G.1 First Fundamental Theorem of Calculus
  654.    wt: 37:   Chapter 9 About First Courses in Calculus
  655.    wt: 37:   Chapter 22. Geometric Sums and Sequences
  656.    wt: 37:   Chapter 12. Shorthand Usage Guide
  657.    wt: 37:   Chapter 4 Longer Chains of Reason
  658.    wt: 37:   Chapter 7 Longer Chains of Reason
  659.    wt: 37:   How to Build Skills and Confidence
  660.    wt: 37:   Chapter 8 Skipped Topics and Why
  661.    wt: 36:   1 arithmetic with unsigned numbers
  662.    wt: 36:   links Education Resources online
  663.    wt: 36:   04 29 New Mathematics Curriculum
  664.    wt: 36:   Operational Viewpoint to Value
  665.    wt: 36:   problemes algebre et arithmetique
  666.    wt: 36:   A Wire Resistance Qualitative01
  667.    wt: 36:   24 Standards For Skill Develoment
  668.    wt: 36:   13 Addition and Addition Tables
  669.    wt: 36:   4 Learning Takes Time and Effort
  670.    wt: 36:   7 quadratic formulla derivation
  671.    wt: 36:   4 Resultant of a Sum of Movements
  672.    wt: 36:   6 Field Properties of Complex Number
  673.    wt: 36:   2 point slope equation for a line
  674.    wt: 36:   9 Construction of a right bisector
  675.    wt: 36:   2 Correspondence between Triangles
  676.    wt: 36:   6 Figuring with Maps Not to Scale
  677.    wt: 36:   A Signed Number Arithmetic Review
  678.    wt: 36:   Formula Usage Show Work Format
  679.    wt: 36:   17 GCD LCM of 85 and 60 via Prime
  680.    wt: 36:   13 video Factors of 24 using prime
  681.    wt: 36:   014 Counting Days with Calendars
  682.    wt: 36:   Volume of Solid by Cross Sections Lesson
  683.    wt: 36:   36 Cube root derivative animated
  684.    wt: 36:   29 Chain Rule Optional Reading
  685.    wt: 36:   24 Chain Rule Animated Examples
  686.    wt: 36:   G.5 Motions With Bounded Velocities
  687.    wt: 36:   F.1 What Functions are Continuous
  688.    wt: 36:   Chapter 17. Area Approximation
  689.    wt: 36:   Chapter 2. Slopes and Ski Trails
  690.    wt: 36:   Chapter 20. Degrees and Radians
  691.    wt: 36:   Postscript What is a Variable
  692.    wt: 36:   Solutions For Arithmetic Exercises
  693.    wt: 36:   Chapter 11 Elementary Instruction
  694.    wt: 36:   Mathematics Education References
  695.    wt: 36:   Mathematics Education References
  696.    wt: 35:   K LAMP Musings Science Education
  697.    wt: 35:   H LAMP Introduction Instructional Concepts
  698.    wt: 35:   what should be learnt and When
  699.    wt: 35:   Education Reform Inconsistencies
  700.    wt: 35:   five decades make a difference
  701.    wt: 35:   standards for course material
  702.    wt: 35:   words for mathematics instructor
  703.    wt: 35:   F Wire Resistance Calculation04
  704.    wt: 35:   E Wire Resistance Calculation03
  705.    wt: 35:   D Wire Resistance Calculation02
  706.    wt: 35:   C Wire Resistance Calculation01
  707.    wt: 35:   B Wire Resistance Qualitative02
  708.    wt: 35:   2 Unlike resistors in parallel01
  709.    wt: 35:   Home Tutoring and Home Schooling
  710.    wt: 35:   8 The Effect of Negative Remarks
  711.    wt: 35:   18 Vertical Line Rule and Method
  712.    wt: 35:   13 From one to one to many to one
  713.    wt: 35:   1 quadratics graphing exercises
  714.    wt: 35:   Vector and Complex Number Applet
  715.    wt: 35:   17G Pythagorean Theorem Converse
  716.    wt: 35:   7 Trignometric Ratios Unit Circle
  717.    wt: 35:   1 Angle Measurement with Degrees
  718.    wt: 35:   5 Areas of Rectangles Revisited
  719.    wt: 35:   10 Real Number Lengths and Signs
  720.    wt: 35:   1 GE Substitution four examples
  721.    wt: 35:   4 Square Roots with primes more
  722.    wt: 35:   1 Counting and Counting Methods I
  723.    wt: 35:   7 negative and additive inverse
  724.    wt: 35:   B Fractions and Two Term Ratios
  725.    wt: 35:   6 Multiplication of Mixed Numbers
  726.    wt: 35:   D Remainders Modulo 11 Pair Rule
  727.    wt: 35:   23 Remainder Arithmetic Modulo 2
  728.    wt: 35:   21 Remainder Arithmetic Modulo 3
  729.    wt: 35:   1 Remainder Arithmetic Modulo 10
  730.    wt: 35:   4 Two and Three Digit Multipliers
  731.    wt: 35:   5 A Tip for Efficent Subtraction
  732.    wt: 35:   3 Two Chain Rule Method Exercises
  733.    wt: 35:   8 Differentiation of polynomials
  734.    wt: 35:   1 Fall 1983 Why Slopes Appetizer
  735.    wt: 35:   Chapter 15. Slope Approximation
  736.    wt: 35:   Postscript For Better Performance
  737.    wt: 35:   Chapter 13. Second Reading Guide
  738.    wt: 35:   Chapter 11 Accidental Patterns
  739.    wt: 35:   E. When and how to correct errors
  740.    wt: 35:   C. Domino effect of being careful
  741.    wt: 34:   G LAMP Introduction Problem Solving Skills
  742.    wt: 34:   9 combinatorics probability sets
  743.    wt: 34:   2 arithmetic with signed numbers
  744.    wt: 34:   Teach the teachers plus goals
  745.    wt: 34:   Lessening Algebra Difficulties
  746.    wt: 34:   formal or informal peer review
  747.    wt: 34:   Motivation and Context Problem
  748.    wt: 34:   Leaner mathematics curriculum
  749.    wt: 34:   1 Calculator Starter Exercises
  750.    wt: 34:   8 Notes for instructors or tutors
  751.    wt: 34:   2 cosine function more properties
  752.    wt: 34:   A Global Time and Navigation
  753.    wt: 34:   9 Head to Tail Coordinate View
  754.    wt: 34:   5 Head To Tail Arrow Addition
  755.    wt: 34:   11 Straight Lines Graphing y=mx
  756.    wt: 34:   15 Pythagorean Theorem Converse
  757.    wt: 34:   10 Midpoint of [a b] and [b a]
  758.    wt: 34:   1 The Counting Origins of Numbers
  759.    wt: 34:   4 Comparison of Negative Numbers
  760.    wt: 34:   4 Circle Area Formula Example
  761.    wt: 34:   3 Comparison of Negative Numbers
  762.    wt: 34:   5 Common Divisors 60 45 via Prime
  763.    wt: 34:   26 Divisibility by 2 3 5 Example
  764.    wt: 34:   5 Remainder Arithmetic Modulo 5
  765.    wt: 34:   14 video Factors of 24 Take II
  766.    wt: 34:   7 Long Divison Mistake Catching
  767.    wt: 34:   2 Indefinite Integrals Exercises
  768.    wt: 34:   2 Second derivative test prequel
  769.    wt: 34:   20 Chain Rule for Pulley Systems
  770.    wt: 34:   D1 Sets and Sequences GLBs and LGBs
  771.    wt: 34:   Chapter 23 Links To Trigonometry
  772.    wt: 34:   Chapter 8. Slope Interpretation
  773.    wt: 34:   Chapter 3. Slope Sign Analysis
  774.    wt: 34:   Chapter 21. Third Reading Guide
  775.    wt: 34:   Chapter 1 Introduction to Chapters 2 to 6
  776.    wt: 34:   Chapter 3 Algebra Difficulties
  777.    wt: 34:   R Why Learn Mathematics Skills
  778.    wt: 34:   The Math Forum and Site Content
  779.    wt: 33:   Ramblings Introduction Algebra Essay
  780.    wt: 33:   three goals to set for students
  781.    wt: 33:   mathematics curriculum shifts
  782.    wt: 33:   deux definitions pour variable
  783.    wt: 33:   18 Primary School Mathematics
  784.    wt: 33:   16 Secondary Mathematics Tips
  785.    wt: 33:   3 Preparing for Science Studies
  786.    wt: 33:   7 Functions with finite domains
  787.    wt: 33:   11 Growth and Decay in Biology
  788.    wt: 33:   1 Polynomials Distributive Law
  789.    wt: 33:   12 motivation for term arctan
  790.    wt: 33:   Straight Lines Intersection of
  791.    wt: 33:   2 Quadrant I reference Angles
  792.    wt: 33:   6 Geometric Diagrams in Class
  793.    wt: 33:   18 Triangle Similarity Take 1
  794.    wt: 33:   11 Triangle Construction Fails
  795.    wt: 33:   3 Inequalities Algebraically
  796.    wt: 33:   2 Computation Rules Evaluation
  797.    wt: 33:   7 Compound Interest Formula Introduction
  798.    wt: 33:   1 Squares and Square Roots Introduction
  799.    wt: 33:   8 GCD from Euclidean Algorithm
  800.    wt: 33:   3 Multiplying Units and Numbers
  801.    wt: 33:   20 Dividing Fractions the Why
  802.    wt: 33:   3 Unit fraction of a fraction
  803.    wt: 33:   2 Unit Fraction Multiplication
  804.    wt: 33:   1 What is a fraction Take II
  805.    wt: 33:   12 LCD GCD and LCM using Primes
  806.    wt: 33:   4 video Prime Factorization Introduction
  807.    wt: 33:   Division with Counts and Length
  808.    wt: 33:   1. Explaining Addition Table
  809.    wt: 33:   6 How long is a million seconds
  810.    wt: 33:   Example 4 with x function of y
  811.    wt: 33:   9 Limits Continuity and Composition
  812.    wt: 33:   F.3 Intermediate Value Theorem
  813.    wt: 33:   E2 Algebraic Properties of Limits
  814.    wt: 33:   B3 Bolzano Weierstrass Theorem
  815.    wt: 33:   Chapter 19. Functions and Sets
  816.    wt: 33:   Chapter 18. Rules for Algebra
  817.    wt: 33:   Chapter 6 Change of Language
  818.    wt: 33:   Chapter 18 Sense and Knowledge
  819.    wt: 33:   Chapter 8 Change of Language
  820.    wt: 32:   E LAMP Introduction Modern Mathematics
  821.    wt: 32:   Secondary Three Mathematics
  822.    wt: 32:   How to be a better instructor
  823.    wt: 32:   education an empirical art
  824.    wt: 32:   chapitre 04 02 Deuxieme enigme
  825.    wt: 32:   chapitre 04 01 Premiere enigme
  826.    wt: 32:   15 Sign analysis of functions
  827.    wt: 32:   2 Column Multiplication Method
  828.    wt: 32:   9 motivation for name arcsin
  829.    wt: 32:   1 Straight Lines Slope Concept
  830.    wt: 32:   20 N th Roots of Complex Numbers
  831.    wt: 32:   Why Trigonometry the whyslopes view
  832.    wt: 32:   PS A Kite Construction Methods
  833.    wt: 32:   1 Equivalent Computation Rules
  834.    wt: 32:   14 Real Number Multiplication
  835.    wt: 32:   6 Algebraic Solution Example
  836.    wt: 32:   1 Least Common Multiples LCM Introduction
  837.    wt: 32:   5 lengths and signs of numbers
  838.    wt: 32:   7 Converting or Changing Units
  839.    wt: 32:   19 Dividing Fractions How TO
  840.    wt: 32:   4 Division with 2 Digit Divsors
  841.    wt: 32:   2 Decimal Counting Practices
  842.    wt: 32:   22 Chain Rule for polynomials
  843.    wt: 32:   Chapter 7 Slopes and Velocity
  844.    wt: 32:   Chapter 23. Notation For Sums
  845.    wt: 32:   Chapter 15 Objective Processes
  846.    wt: 32:   L Skills with take home value
  847.    wt: 32:   I. Logic and language skills
  848.    wt: 31:   3 Like resistors in parallel
  849.    wt: 31:   2 Reading and Writing Skills
  850.    wt: 31:   6 Radian Measure to Degrees
  851.    wt: 31:   5 Degrees to Radian Measure
  852.    wt: 31:   13 Velocity Vectors in Physics
  853.    wt: 31:   4 Tangent Function Properties
  854.    wt: 31:   19 Right Triangle Similarity
  855.    wt: 31:   14 Parallel Lines Postulate
  856.    wt: 31:   13 Angle Side Angle Failure
  857.    wt: 31:   1 Initial Concepts and Terms
  858.    wt: 31:   19 Signed Multiples of Vectors
  859.    wt: 31:   E Long Division Methods more
  860.    wt: 31:   1 Whole and Natural Numbers
  861.    wt: 31:   3 Adding Words To Arithmetic
  862.    wt: 31:   22 Complex Compound Fractions
  863.    wt: 31:   18 Efficient Ways to Multiply
  864.    wt: 31:   Long Division Backwards more
  865.    wt: 31:   7 Addition of Time Intervals
  866.    wt: 31:   6 Power rule from product rule
  867.    wt: 31:   E1 Error Control Inequalities
  868.    wt: 31:   Chapter 12. Units and Slopes
  869.    wt: 31:   Chapter 28 Occurrence Tables
  870.    wt: 31:   Chapter 21 Occurrence Tables
  871.    wt: 31:   Implementation Notes
  872.    wt: 30:   Skills Chapter 1 Arithmetic
  873.    wt: 30:   3 Euclidean Geometry Leanly
  874.    wt: 30:   Secondary Two Mathematics
  875.    wt: 30:   Secondary One Mathematics
  876.    wt: 30:   8 period of tangent function
  877.    wt: 30:   3 Product Axioms Two Forms
  878.    wt: 30:   4 GE III Animated Examples
  879.    wt: 30:   4 LCM of 8 and 10 via Prime
  880.    wt: 30:   9 subtracting signed numbers
  881.    wt: 30:   11 Efficient Square Rule Use
  882.    wt: 30:   1 Divsion Physical Examples
  883.    wt: 30:   The 12 Times Table Visually
  884.    wt: 30:   A Related Material in Volume 3
  885.    wt: 30:   5 Area Under Curve Exercise
  886.    wt: 30:   F.5a Equicontinuity Theorems
  887.    wt: 30:   Chapter 10 Slopes and Units
  888.    wt: 30:   Chapter 3 Chains of Reason
  889.    wt: 30:   Chapter 8 Modern Instruction
  890.    wt: 30:   Chapter 6 Chains of Reason
  891.    wt: 30:   M Words to extend arithmetic
  892.    wt: 29:   J LAMP Introduction Extrinsic Origins
  893.    wt: 29:   05 13 OldSiteEntrancePage
  894.    wt: 29:   chapitre 04 06 engagements
  895.    wt: 29:   F Unlike Resistors in Series
  896.    wt: 29:   6 Graph of arccos function
  897.    wt: 29:   1 cosine function properties
  898.    wt: 29:   7 period of sine and cosine
  899.    wt: 29:   4 Multiplication Properties
  900.    wt: 29:   12 Links Lessons elsewhere
  901.    wt: 29:   5 Algebraic View of Slopes
  902.    wt: 29:   12 Side Angle Side Failure
  903.    wt: 29:   2 Measuring Area Directly
  904.    wt: 29:   3 Proportionality Examples
  905.    wt: 29:   13 Real Number Subtraction
  906.    wt: 29:   5 Algebraic Solutions Introduction
  907.    wt: 29:   1 Three Skills For Algebra
  908.    wt: 29:   8 multiplying signed numbers
  909.    wt: 29:   3 More One Digit Multipliers
  910.    wt: 29:   3 Units and Lengths of Time
  911.    wt: 29:   Chapter 21 Arrow Addition
  912.    wt: 29:   Chapter 5. Slope Sign Tests
  913.    wt: 29:   Postscript A Three Remarks
  914.    wt: 29:   Chapter 2 Skill Development
  915.    wt: 29:   S Adding words to algebra
  916.    wt: 28:   Skills Chapter 3 Algebra
  917.    wt: 28:   About site lesson plans
  918.    wt: 28:   the trouble with algebra
  919.    wt: 28:   1 Degrees and Radians Introduction
  920.    wt: 28:   6 Vectors with Coordinates
  921.    wt: 28:   3 graphing y=f(x c) plus K
  922.    wt: 28:   7 Complex Numbers Appetizer
  923.    wt: 28:   1 What is Proportionality
  924.    wt: 28:   16 Real Numbers Comparison
  925.    wt: 28:   1 Proper Equal Sign Usage
  926.    wt: 28:   5 Product Builder Notation
  927.    wt: 28:   4 Fraction Multiplication
  928.    wt: 28:   1 Integers as Coordinates
  929.    wt: 28:   Example 1 volume of a pyramid
  930.    wt: 28:   8 Four Animated Examples
  931.    wt: 28:   2 Algebraic codification
  932.    wt: 28:   F.5b Extreme Value Theorem
  933.    wt: 28:   F.4 Finite Covering Theorem
  934.    wt: 28:   Chapter 13. Acceleration
  935.    wt: 28:   Chapter 11. Why Shorthand
  936.    wt: 28:   Postscript A Story Telling
  937.    wt: 27:   Skills Chapter 2 Geometry
  938.    wt: 27:   talk the algebra talk
  939.    wt: 27:   02 21 words for teachers
  940.    wt: 27:   cultivating intelligence
  941.    wt: 27:   1 Like resistors in series
  942.    wt: 27:   Ages 12 to 14 Arithmetic
  943.    wt: 27:   Ages 10 to 12 Arithmetic
  944.    wt: 27:   A Quadratics Summary
  945.    wt: 27:   15 Dot and Cross Product
  946.    wt: 27:   5 Tangent Function Graph
  947.    wt: 27:   1 Changing Calculations
  948.    wt: 27:   1 Real Numbers Comparison
  949.    wt: 27:   1 Essentially One Unknown
  950.    wt: 27:   4 Subset Builder Notation
  951.    wt: 27:   2 Square Roots with Prime
  952.    wt: 27:   12 GCD 2700 288 via Prime
  953.    wt: 27:   10 dividing signed numbers
  954.    wt: 27:   7 Multiplication by Signs
  955.    wt: 27:   A Related lessons in Volume 3
  956.    wt: 27:   23 Chain Rule in general
  957.    wt: 27:   12 Quotient rule examples
  958.    wt: 27:   Chapter 22 Complex Numbers
  959.    wt: 27:   Appendix B. How To Learn
  960.    wt: 27:   Chapter 5 Four References
  961.    wt: 27:   Chapter 10 Responsibility
  962.    wt: 27:   B. Domino effect of errors
  963.    wt: 26:   8 analytic geometry etc
  964.    wt: 26:   permissions for teachers
  965.    wt: 26:   activities for students
  966.    wt: 26:   mathematics in context
  967.    wt: 26:   chapitre 05 00 Deception
  968.    wt: 26:   Quadratics in 10 steps
  969.    wt: 26:   7 Links Lessons Elsewhere
  970.    wt: 26:   What is and is not here
  971.    wt: 26:   12 Spatial Coordinates
  972.    wt: 26:   11 Real Number Addition
  973.    wt: 26:   5 Rational Numbers More
  974.    wt: 26:   5 Box Volume Formula Example
  975.    wt: 26:   3 Counting with Sets etc
  976.    wt: 26:   8 Correcting the Mistake
  977.    wt: 26:   3 Second derivative test
  978.    wt: 26:   21 Chain Rule for powers
  979.    wt: 26:   6 Continuity at a point
  980.    wt: 26:   F.2 Closed Range Theorem
  981.    wt: 26:   C Triangle Inequalities
  982.    wt: 26:   Appendix C. How to Read
  983.    wt: 26:   Chapter 30 Truth Tables
  984.    wt: 26:   Chapter 23 Truth Tables
  985.    wt: 25:   I LAMP Introduction Study Habits
  986.    wt: 25:   F LAMP Introduction Prerequisites
  987.    wt: 25:   teacher certification
  988.    wt: 25:   15 Counting For Parents
  989.    wt: 25:   10 quadratic exercises
  990.    wt: 25:   4 graphing y=Asin(x c)
  991.    wt: 25:   11 A Partial Summary
  992.    wt: 25:   11 Triangle Inequality
  993.    wt: 25:   5 Equality in Algebra
  994.    wt: 25:   15 Real Number Division
  995.    wt: 25:   6 Unsigned Real Numbers
  996.    wt: 25:   2 What is a Variable
  997.    wt: 25:   6 adding signed numbers
  998.    wt: 25:   5 Equivalent Fractions
  999.    wt: 25:   Long Division Backward
  1000.    wt: 25:   1 Why 3 times 5 gives 15
  1001.    wt: 25:   013 Travel Time Tables
  1002.    wt: 25:   5 Conversion Arithmetic
  1003.    wt: 25:   30Chain Rule A Proof
  1004.    wt: 25:   Chapter 12 Four Phases
  1005.    wt: 25:   Chapter 1 Arithmetic
  1006.    wt: 24:   Skills Chapter 4 Logic
  1007.    wt: 24:   Maps Plans Drawings
  1008.    wt: 24:   What to Tell Students
  1009.    wt: 24:   E Kirchoffs Second Law
  1010.    wt: 24:   Ages 12 to 14 Geometry
  1011.    wt: 24:   Ages 10 to 12 Geometry
  1012.    wt: 24:   1 Unsigned Coordinates
  1013.    wt: 24:   18 Sixth Roots of Unity
  1014.    wt: 24:   2 Similarity By Design
  1015.    wt: 24:   D Long Division Methods
  1016.    wt: 24:   Skill Development Notes
  1017.    wt: 24:   4 Fractions with Units
  1018.    wt: 24:   12 Fraction Comparison
  1019.    wt: 24:   1 What is a fraction
  1020.    wt: 24:   2 One Digit Multipliers
  1021.    wt: 24:   Example 2 volume of a cone
  1022.    wt: 24:   4 Numerical properties
  1023.    wt: 24:   Fall 1983 Calculus Appetizer
  1024.    wt: 24:   Chapter 10 Transition
  1025.    wt: 24:   Chapter 9 The Two Ends
  1026.    wt: 24:   Road Safety Questions
  1027.    wt: 23:   key notes and themes
  1028.    wt: 23:   learning takes time
  1029.    wt: 23:   Postscript 2007 01 10
  1030.    wt: 23:   4 Energy Power Heat09
  1031.    wt: 23:   3 Energy Power Heat08
  1032.    wt: 23:   2 Energy Power Heat07
  1033.    wt: 23:   1 Energy Power Heat06
  1034.    wt: 23:   Ages 4 plus to 5 plus
  1035.    wt: 23:   Ages 3 plus to 4 plus
  1036.    wt: 23:   10 Interval Notation
  1037.    wt: 23:   19 N th Roots of Unity
  1038.    wt: 23:   17 Cube Roots of unity
  1039.    wt: 23:   3 Addition Properties
  1040.    wt: 23:   Four Simple Exercises
  1041.    wt: 23:   About Folder Contents
  1042.    wt: 23:   About Folder Contents
  1043.    wt: 23:   2 Equality and Units
  1044.    wt: 23:   9 Multiplying Integers
  1045.    wt: 23:   About folder contents
  1046.    wt: 23:   D2 Limits of Monotone Sequences
  1047.    wt: 22:   11 pure mathematics
  1048.    wt: 22:   how letters appear
  1049.    wt: 22:   D Kirchoff First Law
  1050.    wt: 22:   7 Student Motivation
  1051.    wt: 22:   2 Signed Coordinates
  1052.    wt: 22:   1 graphing y=f(x a)
  1053.    wt: 22:   8 Isoceles Triangles
  1054.    wt: 22:   1 Length Measurement
  1055.    wt: 22:   6 Power Set Notation
  1056.    wt: 22:   21 Working With Signs
  1057.    wt: 22:   Chapter 2 Why Sets
  1058.    wt: 21:   Skills Chapter 0 Introduction
  1059.    wt: 21:   Theory of Knowledge
  1060.    wt: 21:   23 Inverse Functions
  1061.    wt: 21:   8 Parallel Vectors
  1062.    wt: 21:   8 Mid Point Formula
  1063.    wt: 21:   21 Parallelograms
  1064.    wt: 21:   7 Angle Side Angle
  1065.    wt: 21:   4 Rational Numbers
  1066.    wt: 21:   D Three Term Ratios
  1067.    wt: 21:   Chapter 5 Deception
  1068.    wt: 20:   Skills Chapter 5 Calculus
  1069.    wt: 20:   three difficulties
  1070.    wt: 20:   problemes responses
  1071.    wt: 20:   logique deux enigme
  1072.    wt: 20:   A Circuit Elements
  1073.    wt: 20:   Introduction Reading Guide
  1074.    wt: 20:   17F Law of cosines
  1075.    wt: 20:   4 Changing Letters
  1076.    wt: 20:   The 20 Times Table
  1077.    wt: 19:   6 polynomials etc
  1078.    wt: 19:   modern education
  1079.    wt: 19:   chapitre 01 00 Introduction
  1080.    wt: 19:   H Series Circuit02
  1081.    wt: 19:   G Series Circuit01
  1082.    wt: 19:   1 Speaking Skills
  1083.    wt: 19:   11 Component Method
  1084.    wt: 19:   14 Law of cosines
  1085.    wt: 19:   5 Side Angle Side
  1086.    wt: 19:   2 Algebraic View
  1087.    wt: 19:   2 GE II Comparison
  1088.    wt: 19:   9 Reciprocal rule
  1089.    wt: 18:   A Energy Power01
  1090.    wt: 18:   2 Three Examples
  1091.    wt: 18:   9 Three Examples
  1092.    wt: 18:   6 Three Examples
  1093.    wt: 18:   5 Three Examples
  1094.    wt: 18:   2 Three Examples
  1095.    wt: 18:   8 Sets of Numbers
  1096.    wt: 18:   2 Venn Diagrams
  1097.    wt: 18:   18 Chain Rule Introduction
  1098.    wt: 17:   A Introduction Objectives
  1099.    wt: 17:   which way to go
  1100.    wt: 17:   E Energy Power05
  1101.    wt: 17:   D Energy Power04
  1102.    wt: 17:   C Energy Power03
  1103.    wt: 17:   B Energy Power02
  1104.    wt: 17:   4 Side Side Side
  1105.    wt: 17:   Simple Exercises
  1106.    wt: 17:   3 Four Examples
  1107.    wt: 17:   10 Volume of Pyramid
  1108.    wt: 17:   6 GCD from Prime
  1109.    wt: 17:   11 Quotient rule
  1110.    wt: 17:   Which Way To Go
  1111.    wt: 16:   website reviews
  1112.    wt: 16:   teaching tips
  1113.    wt: 16:   10 One Example
  1114.    wt: 16:   7 Two Examples
  1115.    wt: 16:   4 Two Examples
  1116.    wt: 16:   3 Two Examples
  1117.    wt: 16:   B Powers of Ten
  1118.    wt: 16:   1 Numerical introduction
  1119.    wt: 15:   10 statistics
  1120.    wt: 15:   What is POMME
  1121.    wt: 15:   site eurekas
  1122.    wt: 15:   More Exercises
  1123.    wt: 15:   8 One Example
  1124.    wt: 15:   11 Volume of Sphere
  1125.    wt: 15:   5 Product Rule
  1126.    wt: 15:   Three Remarks
  1127.    wt: 14:   site origins
  1128.    wt: 14:   Ages 9 to 10
  1129.    wt: 14:   1 Finite Sets
  1130.    wt: 14:   Chapter 1.Introduction
  1131.    wt: 14:   Chapter 1 Introduction
  1132.    wt: 14:   Chapter 1 Introduction
  1133.    wt: 13:   Ages 8 to 9
  1134.    wt: 13:   Ages 7 to 8
  1135.    wt: 13:   Ages 6 to 7
  1136.    wt: 13:   3 Fractions
  1137.    wt: 13:   Site Reviews
  1138.    wt: 12:   4 algebra
  1139.    wt: 12:   9 Volume of Cone
  1140.    wt: 11:   why bother
  1141.    wt: 11:   2 Integers
  1142.    wt: 11:   Example 3
  1143.    wt: 11:   Example 2
  1144.    wt: 11:   Example 1
  1145.    wt: 11:   4 Sum Rule
  1146.    wt: 10:   Foreword

Extended Search

1146 matches:

  1.    wt: 99:   4 algebra
  2.    wt: 99:   geometric implications for algebra
  3.    wt: 99:   mathematics instruction in general
  4.    wt: 99:   chapitre 04 05 Implication versus suggestion
  5.    wt: 99:   6 quadratics numerical approach
  6.    wt: 99:   Expression Evaluation how to show work
  7.    wt: 99:   7 Addition of Time Intervals
  8.    wt: 99:   3 Two Chain Rule Method Exercises
  9.    wt: 99:   18 Chain Rule Introduction
  10.    wt: 99:   Chapter 6 Rule Based Reason in Mathematics
  11.    wt: 98:   I LAMP Introduction Study Habits
  12.    wt: 98:   F LAMP Introduction Prerequisites
  13.    wt: 98:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  14.    wt: 98:   5 quadratics completing the square
  15.    wt: 98:   2 quadratics graphing in general
  16.    wt: 98:   11 Volume of Sphere
  17.    wt: 98:   Formula Evaluation how to show work
  18.    wt: 98:   Summary
  19.    wt: 98:   2 Indefinite Integrals Exercises
  20.    wt: 98:   A Related lessons in Volume 3
  21.    wt: 98:   11 Quotient rule
  22.    wt: 98:   6 Continuity at a point
  23.    wt: 98:   Postscript Pythagorean Theorem yet another proof
  24.    wt: 98:   Chapter 19. Exponentials and Natural Logarithms
  25.    wt: 97:   Skills Chapter 4 Logic
  26.    wt: 97:   Mathematics Education Professors
  27.    wt: 97:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  28.    wt: 97:   5 Function notation for geometric transformations
  29.    wt: 97:   7 quadratic formulla derivation
  30.    wt: 97:   1 quadratics graphing exercises
  31.    wt: 97:   8 Notes for instructors or tutors
  32.    wt: 97:   1 Unsigned Coordinates
  33.    wt: 97:   14 Law of cosines
  34.    wt: 97:   9 Coordinates for Regions in Space
  35.    wt: 97:   8 Coordinates for Maps and Planes
  36.    wt: 97:   3 Units and Lengths of Time
  37.    wt: 97:   3 Second derivative test
  38.    wt: 97:   Chapter 10 Describing and Changing Calculations
  39.    wt: 96:   links Education Resources online
  40.    wt: 96:   04 29 New Mathematics Curriculum
  41.    wt: 96:   Operational Viewpoint to Value
  42.    wt: 96:   chapitre 04 07 RepetablesEtReproductibles
  43.    wt: 96:   chapitre 02 00 La Communication des idees
  44.    wt: 96:   1 Polynomials Distributive Law
  45.    wt: 96:   7 Real Numbers as Line Cordinates
  46.    wt: 96:   5 Product Rule
  47.    wt: 96:   4 Numerical properties
  48.    wt: 95:   what should be learnt and When
  49.    wt: 95:   Education Reform Inconsistencies
  50.    wt: 95:   five decades make a difference
  51.    wt: 95:   standards for course material
  52.    wt: 95:   words for mathematics instructor
  53.    wt: 95:   2 Column Multiplication Method
  54.    wt: 95:   2 Signed Coordinates
  55.    wt: 95:   10 Real Number Lengths and Signs
  56.    wt: 95:   9 Volume of Cone
  57.    wt: 95:   Exact Arithmetic Wholes and Fractions
  58.    wt: 95:   A Related Material in Volume 3
  59.    wt: 95:   5 Area Under Curve Exercise
  60.    wt: 95:   Chapter 2 For and Against Mathematics
  61.    wt: 95:   Postscript C Consistency as a Tool for Reason
  62.    wt: 95:   Chapter 12 Islands and Divisions of Knowledge
  63.    wt: 94:   Skills Chapter 0 Introduction
  64.    wt: 94:   Teach the teachers plus goals
  65.    wt: 94:   Lessening Algebra Difficulties
  66.    wt: 94:   formal or informal peer review
  67.    wt: 94:   Motivation and Context Problem
  68.    wt: 94:   Leaner mathematics curriculum
  69.    wt: 94:   chapitre 04 00 Les regles d implication
  70.    wt: 94:   24 Monotoncity Injectivity and Inverse Functions
  71.    wt: 94:   17 Function maxima minima and their location
  72.    wt: 94:   4 Function notation in and beyond mathematics
  73.    wt: 94:   arithmetic videos Real Player Format
  74.    wt: 94:   1 Integers as Coordinates
  75.    wt: 94:   Chapter 24 Logarithms Powers and Exponentials
  76.    wt: 94:   Chapter 24. Personal Investment and Pension EGS
  77.    wt: 94:   Chapter 9 Talking about Numbers or Quantities
  78.    wt: 94:   Postscript B More on Story Telling and Reason
  79.    wt: 93:   Skills Chapter 5 Calculus
  80.    wt: 93:   three goals to set for students
  81.    wt: 93:   mathematics curriculum shifts
  82.    wt: 93:   Ages 12 to 14 Skills with take home value
  83.    wt: 93:   11 Function Domain Range Source and Targets
  84.    wt: 93:   8 Parallel Vectors
  85.    wt: 93:   7 Multiplication by Signs
  86.    wt: 93:   013 Travel Time Tables
  87.    wt: 93:   5 Conversion Arithmetic
  88.    wt: 93:   Appendix E. How To Study Mathematics and Why
  89.    wt: 93:   Annotated Links to Material Elsehwere
  90.    wt: 93:   Chapter 4 Complex Numbers and Why Slopes
  91.    wt: 92:   Secondary Three Mathematics
  92.    wt: 92:   How to be a better instructor
  93.    wt: 92:   education an empirical art
  94.    wt: 92:   chapitre 06 00 Chaines de la raison
  95.    wt: 92:   chapitre 04 04 Parlons de la logique
  96.    wt: 92:   C Electromotive force conventional current02
  97.    wt: 92:   B Electromotive force conventional current01
  98.    wt: 92:   11 Component Method
  99.    wt: 92:   Chapter 25. Mathematical Induction Examples
  100.    wt: 92:   Chapter 5 Islands and Divisions of Knowledge
  101.    wt: 92:   G. Written work formats for developing and showing skill
  102.    wt: 92:   Mathematics Education References
  103.    wt: 92:   Mathematics Education References
  104.    wt: 91:   chapitre 04 08 Limitations et benefices
  105.    wt: 91:   23 Modularized Skill Development Modularized Rigor Take III
  106.    wt: 91:   20 Interchanging coordinates a reflection
  107.    wt: 91:   14 Real Number Multiplication
  108.    wt: 91:   5 Product Builder Notation
  109.    wt: 91:   Quick history of numbers and algebra
  110.    wt: 91:   4 Sum Rule
  111.    wt: 91:   V Reasons and Motivations for Logic and Mathematics
  112.    wt: 90:   A Introduction Objectives
  113.    wt: 90:   Secondary Two Mathematics
  114.    wt: 90:   Secondary One Mathematics
  115.    wt: 90:   chapitre 04 09 Regles accidentelles
  116.    wt: 90:   27 Graduated Correction and Penalties for Young Offenders
  117.    wt: 90:   23 Modularized Skill Development Modularized Rigor Take IV
  118.    wt: 90:   23 Modularized Skill Development Modularized Rigor Take II
  119.    wt: 90:   Rewriting algebraic substitution as function substitutions
  120.    wt: 90:   1 Whole and Natural Numbers
  121.    wt: 90:   Simple Exercises
  122.    wt: 90:   4 Subset Builder Notation
  123.    wt: 90:   Chapter 11. Graphing Slope versus Position
  124.    wt: 90:   Chapter 7 Two Treatments of Geometry
  125.    wt: 90:   Chapter 20 Shorthand Symbols as Pronouns
  126.    wt: 90:   P Exact Arithmetic With Whole Numbers and Fractions
  127.    wt: 90:   Chapter 1 Arithmetic
  128.    wt: 89:   05 13 OldSiteEntrancePage
  129.    wt: 89:   chapitre 12 00 les iles et division
  130.    wt: 89:   9 Set theory term relation possible origins
  131.    wt: 89:   7 Links Lessons Elsewhere
  132.    wt: 89:   3 Counting with Sets etc
  133.    wt: 89:   9 Multiplying Integers
  134.    wt: 89:   1 Numerical introduction
  135.    wt: 89:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  136.    wt: 89:   Chapter 15. Algebraic Evaluation of Limits
  137.    wt: 89:   Chapter 19 What is in chapters 20 to 24
  138.    wt: 88:   About site lesson plans
  139.    wt: 88:   the trouble with algebra
  140.    wt: 88:   16 Increasing or decreasing on intervals
  141.    wt: 88:   A Quadratics Summary
  142.    wt: 88:   Quadratics in 10 steps
  143.    wt: 88:   13 Real Number Subtraction
  144.    wt: 88:   More Exercises
  145.    wt: 88:   Appendix D. What to do in School and Why
  146.    wt: 88:   Chapter 27 Shorthand Symbols as Pronouns
  147.    wt: 88:   Chapter 7 Prep for Calculus Arithmetic Exercises
  148.    wt: 88:   Chapter 9 What is in Chapters 10 to 18
  149.    wt: 88:   Chapter 2 Why Sets
  150.    wt: 87:   talk the algebra talk
  151.    wt: 87:   02 21 words for teachers
  152.    wt: 87:   cultivating intelligence
  153.    wt: 87:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  154.    wt: 87:   10 quadratic exercises
  155.    wt: 87:   16 Real Numbers Comparison
  156.    wt: 87:   Chapter 26 What is in chapters 27 to 31
  157.    wt: 87:   Chapter 11 Elementary Instruction
  158.    wt: 87:   Chapter 24 Direct and Indirect Reason
  159.    wt: 87:   Implementation Notes
  160.    wt: 86:   permissions for teachers
  161.    wt: 86:   activities for students
  162.    wt: 86:   mathematics in context
  163.    wt: 86:   12 Function Domain Recognition Exercises
  164.    wt: 86:   6 Set Existence Formation and Notation
  165.    wt: 86:   3 Formula or function graphing exercise
  166.    wt: 86:   Chapter 3 What is in chapters 4 to 8
  167.    wt: 86:   Q How Logic and Proofs extend Show Work Practices
  168.    wt: 85:   teacher certification
  169.    wt: 85:   11 Real Number Addition
  170.    wt: 85:   5 Rational Numbers More
  171.    wt: 85:   6 Power Set Notation
  172.    wt: 85:   Chapter 20 Vectors and Complex Numbers
  173.    wt: 85:   Chapter 18. Slopes Areas Integration
  174.    wt: 85:   Chapter 6. Slopes and Vertical Shifts
  175.    wt: 85:   Chapter 31 Direct and Indirect Reason
  176.    wt: 85:   Chapter 3 Algebra Difficulties
  177.    wt: 84:   Maps Plans Drawings
  178.    wt: 84:   What to Tell Students
  179.    wt: 84:   chapitre 04 02 Deuxieme enigme
  180.    wt: 84:   chapitre 04 01 Premiere enigme
  181.    wt: 84:   2 Conductance Resistance Duality02
  182.    wt: 84:   1 Conductance Resistance Duality01
  183.    wt: 84:   25 Mathematics Education Leaving A Good Impression
  184.    wt: 84:   26 Function definitions done and coming
  185.    wt: 84:   8 Set view of relations and functions
  186.    wt: 84:   2 Algebraic use of function notation
  187.    wt: 84:   15 Real Number Division
  188.    wt: 84:   6 Unsigned Real Numbers
  189.    wt: 84:   Appendix A. Reading Guide For Next Appendices
  190.    wt: 84:   Chapter 15. Solving Linear Equations
  191.    wt: 83:   key notes and themes
  192.    wt: 83:   learning takes time
  193.    wt: 83:   Postscript 2007 01 10
  194.    wt: 83:   22 Square Root function graphically
  195.    wt: 83:   4 A Brief Story of numbers and algebra
  196.    wt: 83:   Chapter 4. More Slope Sign Analysis
  197.    wt: 83:   Postscript More on Better Performance
  198.    wt: 83:   Chapter 16. Painless Theorem Proving
  199.    wt: 83:   Chapter 7 Longer Chains of Reason
  200.    wt: 82:   how letters appear
  201.    wt: 82:   A Wire Resistance Qualitative01
  202.    wt: 82:   2 Venn Diagrams
  203.    wt: 82:   6 Three Notions of What is a Variable
  204.    wt: 82:   5 Talking about Numbers and Quantities
  205.    wt: 82:   Chapter 16. Velocity Approximation
  206.    wt: 82:   Chapter 9 About First Courses in Calculus
  207.    wt: 82:   H more Routine to non routine problem solving
  208.    wt: 81:   Theory of Knowledge
  209.    wt: 81:   chapitre 04 06 engagements
  210.    wt: 81:   F Wire Resistance Calculation04
  211.    wt: 81:   E Wire Resistance Calculation03
  212.    wt: 81:   D Wire Resistance Calculation02
  213.    wt: 81:   C Wire Resistance Calculation01
  214.    wt: 81:   B Wire Resistance Qualitative02
  215.    wt: 81:   2 Unlike resistors in parallel01
  216.    wt: 81:   23 Modularized Skill Development Modularized Rigor
  217.    wt: 81:   17 Math Booklets for children and young teenagers
  218.    wt: 81:   6 Discipline Who is in Charge Conserving Authority
  219.    wt: 81:   19 Horizontal line rule and method
  220.    wt: 81:   14 Surjections Injections Bijections
  221.    wt: 81:   1 Geometric Introduction of Function Notation
  222.    wt: 81:   About Folder Contents
  223.    wt: 81:   8 Sets of Numbers
  224.    wt: 81:   The 12 Times Table Visually
  225.    wt: 81:   Chapter 12. Shorthand Usage Guide
  226.    wt: 81:   Chapter 8 Three Skills For Algebra
  227.    wt: 81:   Chapter 4 Longer Chains of Reason
  228.    wt: 81:   Chapter 8 Modern Instruction
  229.    wt: 81:   Chapter 11 Accidental Patterns
  230.    wt: 81:   N Mathematics Prepare for College Studies
  231.    wt: 80:   three difficulties
  232.    wt: 80:   5 Patience Please for Yourself and Your Charges
  233.    wt: 80:   4 Rational Numbers
  234.    wt: 80:   Postscript One Sided and Intermediate Value Theorems
  235.    wt: 80:   Chapter 17. Area Approximation
  236.    wt: 80:   Chapter 2. Slopes and Ski Trails
  237.    wt: 80:   Chapter 22. Geometric Sums and Sequences
  238.    wt: 80:   Postscript What is a Variable
  239.    wt: 80:   Solutions For Arithmetic Exercises
  240.    wt: 80:   Postscript A Three Remarks
  241.    wt: 80:   1 Links to Online Resources Elsewhere Take 1
  242.    wt: 79:   modern education
  243.    wt: 79:   11 Help and Defend Your Child or Teens Education
  244.    wt: 79:   18 Vertical Line Rule and Method
  245.    wt: 79:   13 From one to one to many to one
  246.    wt: 79:   Chapter 23 Links To Trigonometry
  247.    wt: 79:   Chapter 15. Slope Approximation
  248.    wt: 79:   Chapter 8. Slope Interpretation
  249.    wt: 79:   Chapter 3. Slope Sign Analysis
  250.    wt: 79:   Postscript For Better Performance
  251.    wt: 79:   Chapter 20. Degrees and Radians
  252.    wt: 79:   Chapter 13. Second Reading Guide
  253.    wt: 79:   Chapter 18 Sense and Knowledge
  254.    wt: 79:   Chapter 8 Change of Language
  255.    wt: 79:   F. The student teacher tutor feedback loop
  256.    wt: 78:   chapitre 05 00 Deception
  257.    wt: 78:   19 Extending the Oral Dimension of Mathematics
  258.    wt: 78:   Chapter 21. Third Reading Guide
  259.    wt: 78:   Chapter 1 Introduction to Chapters 2 to 6
  260.    wt: 78:   Chapter 5 Four References
  261.    wt: 78:   Chapter 15 Objective Processes
  262.    wt: 77:   which way to go
  263.    wt: 77:   3 Like resistors in parallel
  264.    wt: 77:   7 Functions with finite domains
  265.    wt: 77:   1 Finite Sets
  266.    wt: 77:   PostScript For and Against Decimal Perspectives
  267.    wt: 77:   Chapter 7 Slopes and Velocity
  268.    wt: 77:   Chapter 19. Functions and Sets
  269.    wt: 77:   Chapter 18. Rules for Algebra
  270.    wt: 77:   Chapter 6 Change of Language
  271.    wt: 77:   Chapter 21 Occurrence Tables
  272.    wt: 77:   J. More on written work and showing skill
  273.    wt: 76:   website reviews
  274.    wt: 76:   teaching tips
  275.    wt: 76:   15 Sign analysis of functions
  276.    wt: 76:   Chapter 12. Units and Slopes
  277.    wt: 76:   Chapter 12 Four Phases
  278.    wt: 76:   Chapter 6 Chains of Reason
  279.    wt: 76:   O On Learning Mathematics and Science
  280.    wt: 75:   site eurekas
  281.    wt: 75:   F Unlike Resistors in Series
  282.    wt: 75:   Ages 12 to 14 Arithmetic
  283.    wt: 75:   Ages 10 to 12 Arithmetic
  284.    wt: 75:   G.6 Bounded Derivatives implies Lipshitz Continuity
  285.    wt: 75:   G.2 Differentiable Functions Mean Value Theorem
  286.    wt: 75:   Chapter 10 Slopes and Units
  287.    wt: 75:   Chapter 28 Occurrence Tables
  288.    wt: 75:   Chapter 23. Notation For Sums
  289.    wt: 75:   Chapter 10 Transition
  290.    wt: 75:   Chapter 9 The Two Ends
  291.    wt: 75:   Chapter 2 Skill Development
  292.    wt: 75:   D. Check work a must with a caution
  293.    wt: 75:   Talking pdf files for online lessons a webvideo alternative
  294.    wt: 74:   site origins
  295.    wt: 74:   About folder contents
  296.    wt: 74:   Chapter 5. Slope Sign Tests
  297.    wt: 74:   Chapter 3 Chains of Reason
  298.    wt: 74:   Postscript A Story Telling
  299.    wt: 74:   N Improving Marks on Tests and Finals
  300.    wt: 73:   1 Like resistors in series
  301.    wt: 73:   24 Standards For Skill Develoment Take II
  302.    wt: 73:   22 Student Centered Highschool Mathematics
  303.    wt: 73:   Chapter 21 Arrow Addition
  304.    wt: 73:   Chapter 13. Acceleration
  305.    wt: 73:   Chapter 10 Responsibility
  306.    wt: 73:   H Jigsaw puzzles and problem solving
  307.    wt: 73:   Which Way To Go
  308.    wt: 72:   12 Goals and Objectives For Mathematics
  309.    wt: 72:   Ages 12 to 14 Geometry
  310.    wt: 72:   Ages 10 to 12 Geometry
  311.    wt: 72:   Ages 4 plus to 5 plus
  312.    wt: 72:   Ages 3 plus to 4 plus
  313.    wt: 72:   3 Fractions
  314.    wt: 72:   Chapter 11. Why Shorthand
  315.    wt: 72:   Chapter 23 Truth Tables
  316.    wt: 72:   A. Skill has to be seen to believed
  317.    wt: 71:   why bother
  318.    wt: 71:   chapitre 01 00 Introduction
  319.    wt: 71:   10 Ends values for work study instruction
  320.    wt: 71:   3 Adding Words To Arithmetic
  321.    wt: 71:   The 20 Times Table
  322.    wt: 71:   Chapter 22 Complex Numbers
  323.    wt: 71:   Appendix B. How To Learn
  324.    wt: 71:   How to Build Skills and Confidence
  325.    wt: 70:   E Kirchoffs Second Law
  326.    wt: 70:   2 Integers
  327.    wt: 70:   G.4 Lipschitz Continuity implies EquiContinuity
  328.    wt: 70:   Appendix C. How to Read
  329.    wt: 70:   Chapter 30 Truth Tables
  330.    wt: 69:   4 Energy Power Heat09
  331.    wt: 69:   3 Energy Power Heat08
  332.    wt: 69:   2 Energy Power Heat07
  333.    wt: 69:   1 Energy Power Heat06
  334.    wt: 69:   G.1 Differentiable Functions Rolles Theorem
  335.    wt: 69:   Fall 1983 Calculus Appetizer
  336.    wt: 69:   E. When and how to correct errors
  337.    wt: 69:   C. Domino effect of being careful
  338.    wt: 68:   D Kirchoff First Law
  339.    wt: 68:   1 Three Skills For Algebra
  340.    wt: 68:   G.2 Lipshitz Conditions Integration Calculus Reform
  341.    wt: 68:   B1 Pigeon Hole Principles from combinatorics
  342.    wt: 68:   R Why Learn Mathematics Skills
  343.    wt: 67:   10 Interval Notation
  344.    wt: 67:   Chapter 5 Deception
  345.    wt: 66:   A Circuit Elements
  346.    wt: 66:   14 Multiplication and Times Tables
  347.    wt: 66:   L Skills with take home value
  348.    wt: 66:   I. Logic and language skills
  349.    wt: 65:   H Series Circuit02
  350.    wt: 65:   G Series Circuit01
  351.    wt: 65:   9 Streaming by Student Cooperation
  352.    wt: 65:   23 Inverse Functions
  353.    wt: 65:   2 What is a Variable
  354.    wt: 65:   Chapter 1 Introduction
  355.    wt: 64:   A Energy Power01
  356.    wt: 64:   24 Standards For Skill Develoment
  357.    wt: 64:   13 Addition and Addition Tables
  358.    wt: 64:   4 Learning Takes Time and Effort
  359.    wt: 64:   Introduction Reading Guide
  360.    wt: 64:   M Words to extend arithmetic
  361.    wt: 63:   E Energy Power05
  362.    wt: 63:   D Energy Power04
  363.    wt: 63:   C Energy Power03
  364.    wt: 63:   B Energy Power02
  365.    wt: 63:   Home Tutoring and Home Schooling
  366.    wt: 63:   8 The Effect of Negative Remarks
  367.    wt: 63:   About Folder Contents
  368.    wt: 63:   S Adding words to algebra
  369.    wt: 62:   Ages 9 to 10
  370.    wt: 62:   Ages 8 to 9
  371.    wt: 62:   Ages 7 to 8
  372.    wt: 62:   Ages 6 to 7
  373.    wt: 61:   Trois Notions qui menent a algebre
  374.    wt: 61:   18 Primary School Mathematics
  375.    wt: 61:   16 Secondary Mathematics Tips
  376.    wt: 61:   3 Preparing for Science Studies
  377.    wt: 61:   G.3 Constant Difference Theorem Proof
  378.    wt: 61:   Three Remarks
  379.    wt: 61:   B. Domino effect of errors
  380.    wt: 60:   problemes algebre et arithmetique
  381.    wt: 60:   Foreword
  382.    wt: 60:   Chapter 1 Introduction
  383.    wt: 59:   2 Reading and Writing Skills
  384.    wt: 59:   G.1 First Fundamental Theorem of Calculus
  385.    wt: 59:   Chapter 1.Introduction
  386.    wt: 58:   G.5 Motions With Bounded Velocities
  387.    wt: 58:   F.1 What Functions are Continuous
  388.    wt: 57:   deux definitions pour variable
  389.    wt: 56:   D1 Sets and Sequences GLBs and LGBs
  390.    wt: 55:   F.3 Intermediate Value Theorem
  391.    wt: 55:   E2 Algebraic Properties of Limits
  392.    wt: 55:   B3 Bolzano Weierstrass Theorem
  393.    wt: 55:   Foreword
  394.    wt: 55:   Foreword
  395.    wt: 53:   15 Counting For Parents
  396.    wt: 53:   E1 Error Control Inequalities
  397.    wt: 53:   Foreword
  398.    wt: 52:   F.5a Equicontinuity Theorems
  399.    wt: 50:   7 Student Motivation
  400.    wt: 50:   F.5b Extreme Value Theorem
  401.    wt: 50:   F.4 Finite Covering Theorem
  402.    wt: 48:   F.2 Closed Range Theorem
  403.    wt: 48:   C Triangle Inequalities
  404.    wt: 47:   1 Speaking Skills
  405.    wt: 45:   D2 Limits of Monotone Sequences
  406.    wt: 44:   problemes responses
  407.    wt: 44:   logique deux enigme
  408.    wt: 43:   The Math Forum and Site Content
  409.    wt: 33:   Road Safety Questions
  410.    wt: 31:   A1. Introduction
  411.    wt: 30:   liens
  412.    wt: 22:   Site Reviews
  413.    wt: 190:   Construction Methods and Criteria for Isometric and Similar Triangles
  414.    wt: 190:   6 Subtraction with Conversion Example with Exercises
  415.    wt: 189:   7 Subtraction for Decimal Fractions with Exercises
  416.    wt: 189:   4 Subtraction with Conversions Borrows and Letter J
  417.    wt: 188:   Video Decimal Multiplication Geometric View Example 2
  418.    wt: 188:   Video Decimal Multiplication Geometric View Example 2
  419.    wt: 188:   3 Harder Cases Convert to Compare and Subtract
  420.    wt: 188:   1 Comparison and Subtraction Easy Direct Cases
  421.    wt: 185:   Appendix 1 Decimals Comparison Method Take II
  422.    wt: 185:   Subtraction with J Conversions Example
  423.    wt: 185:   Appendix 1 Counting Revisited 15 minute video
  424.    wt: 184:   Analytic View of Triangle Construction or Line Instersection More
  425.    wt: 184:   Appendix 2 Three Decimal Subtraction Methods
  426.    wt: 183:   7 Adding decimal fractions using decimal point
  427.    wt: 182:   3. How to add with decimals A sans conversions
  428.    wt: 181:   SAS Method For Isometric Or Proportional Triangle Construction
  429.    wt: 180:   4. How to add with decimals B with conversions
  430.    wt: 179:   Long Division forwards and backwards Example 3
  431.    wt: 179:   Long Division forwards and backwards Example 2
  432.    wt: 179:   Long Division forwards and backwards Example 1
  433.    wt: 179:   6. Counting and adding units and mixed units
  434.    wt: 178:   Proportionality of Line Segments From Parallel Transversals
  435.    wt: 178:   Subtraction Another Video Lesson
  436.    wt: 177:   Video Power Notation in Decimal Expansion
  437.    wt: 175:   8 What skills and work habits to require
  438.    wt: 174:   6 Why Decimal Long Division Methods Works Take I
  439.    wt: 173:   3 Straight Lines Slope as Tangent of Inclination Angle
  440.    wt: 173:   A Elementary Basis for Multiplication Methods
  441.    wt: 173:   9 22 Minute Subtraction Review Video
  442.    wt: 173:   8 Subtraction with Units of Measure
  443.    wt: 172:   PS F Scalar Multiplication Distributes over Addition
  444.    wt: 172:   6 Multiplication Commutes Order Not Important
  445.    wt: 172:   2 Subtraction Easy Case Examples
  446.    wt: 171:   Parallel Lines and Alternating Corresponding Angles
  447.    wt: 171:   2 Essentially one exercises three with solution
  448.    wt: 170:   5 A Tip for Efficent Subtraction
  449.    wt: 169:   5. How to add decimals C. Examples
  450.    wt: 168:   4 Circle Sector Area proportional to Central Angle
  451.    wt: 167:   PS C Similarity Use Recognize it in Trigonometry
  452.    wt: 166:   D Decimal Multiplication Methods Derived
  453.    wt: 165:   2 Radian Measure Numerical Value of one degree
  454.    wt: 165:   D Straight Lines Slope from Coordinates Examples
  455.    wt: 165:   13 Straight Lines Finding Equations from 2 points
  456.    wt: 165:   4 Four Examples Fractional Coefficients
  457.    wt: 164:   3 Circle Arclengh Proportional to Central Angle
  458.    wt: 164:   Straight Lines Instersection Solving Equations
  459.    wt: 163:   10 Straight Lines through Origin Equations More
  460.    wt: 163:   11 Another Single Digit Divisor Example
  461.    wt: 163:   10 Division by Five Long and Short Ways
  462.    wt: 163:   1. Explaining Addition Table
  463.    wt: 162:   16 Angles Subtended By Chords and Diameters
  464.    wt: 162:   5 Gaussian Elimination for 3 unknowns 2nd example
  465.    wt: 162:   4 Solving a triangular system exercise
  466.    wt: 162:   19 Remainder Arithmetic Rule of 9 for checking sums III
  467.    wt: 162:   11 Remainder Arithmetic Long Division by 5 Quickly more
  468.    wt: 162:   3 Division Single Digit Divisor Example
  469.    wt: 162:   C Counting Areas with Powers of Ten
  470.    wt: 162:   2 Decimal Counting Practices
  471.    wt: 161:   Parallel Lines and Parallel Transversals
  472.    wt: 161:   Straight Lines ASA Intersection Study More
  473.    wt: 161:   B Straight Line Slope Scaling Properties More
  474.    wt: 161:   6 Tangent Function Inclination Angle Take 2
  475.    wt: 161:   PS E Multiplication with Polar Coordinates
  476.    wt: 161:   5 Counting with Tables Trees Product Rule Take II
  477.    wt: 161:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  478.    wt: 161:   18 Remainder Arithmetic Rule of 9 for checking sums II
  479.    wt: 161:   Division with Counts and Length
  480.    wt: 161:   5 Long Division Include Zeroes or not
  481.    wt: 160:   PS D Addition with Cartesian Coordinates
  482.    wt: 160:   3 Gaussian Elimination 3 unknowns first example
  483.    wt: 160:   17 Remainder Arithmetic Rule of 9 for checking sums I
  484.    wt: 160:   12 Why Long Division Works Take III
  485.    wt: 159:   16 cotangent function Definition Graph and Inverse
  486.    wt: 159:   3 Solving triangular system example
  487.    wt: 159:   2 Division with Single Digit Divisors
  488.    wt: 159:   5 Decimal Fraction Multiplication
  489.    wt: 158:   15 cosecant function Definition Graph and Inverse
  490.    wt: 158:   13 cosecant function Definition Graph and Inverse
  491.    wt: 158:   14 Straight Lines Equations General Case
  492.    wt: 158:   PS B Parallelogram Construction Methods
  493.    wt: 158:   3 GE III Equation Addition and Multiplication
  494.    wt: 158:   Long Division Backwards more
  495.    wt: 158:   9 Why Long Division Works Take II
  496.    wt: 158:   4 Two and Three Digit Multipliers
  497.    wt: 157:   9 Summary Degrees to Radians and back
  498.    wt: 157:   A Straight Line Slope Scaling Properties
  499.    wt: 157:   9 Straight Lines through Origin Equations
  500.    wt: 157:   PS H Distributive Law For Complex Numbers
  501.    wt: 157:   PS G Rotation Distributes over Addition
  502.    wt: 157:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  503.    wt: 157:   10 Remainder Arithmetic Long Division by 5 Quickly
  504.    wt: 156:   7 Radian Measures in special Triangles
  505.    wt: 156:   Straight Lines ASA Intersection Study
  506.    wt: 156:   7 Tangent Function is odd on this domain
  507.    wt: 156:   2 Straight Lines Slopes As Rise Over Run
  508.    wt: 156:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  509.    wt: 155:   14 secant function Definition Graph and Inverse
  510.    wt: 155:   C Straight Lines Slope from Coordinates
  511.    wt: 155:   8 Straight Lines Equation for vertical
  512.    wt: 155:   7 Long Divison Mistake Catching
  513.    wt: 154:   Euclidean Geometry Elsewhere LINKS
  514.    wt: 154:   15 Triangle Angle Sum is 180 degrees
  515.    wt: 154:   6 Algebraic Solution Example
  516.    wt: 153:   17 Right Bisectors of Triangle Sides
  517.    wt: 153:   10 Dropping a perpendicular to line
  518.    wt: 153:   6 Ruler and compass Angle Bisection
  519.    wt: 153:   3 Isometry of Triangles Congruence
  520.    wt: 153:   Long Division Backward
  521.    wt: 153:   4 Division with 2 Digit Divsors
  522.    wt: 152:   10 arctan left inverse of tangent Definition
  523.    wt: 152:   Parallel Lines and Interior Angles
  524.    wt: 152:   12 Straight Lines Graphing mx plus b
  525.    wt: 152:   Short Course on Euclidean Geometry
  526.    wt: 152:   14 GCD of 650 110 via Primes LCM via Product Rule
  527.    wt: 152:   9 GCD of 360 110 via Primes and Euclid Algorithm
  528.    wt: 152:   4 Counting with Trees Product Rule Take I
  529.    wt: 152:   3 More One Digit Multipliers
  530.    wt: 151:   3 Left Inverse of cosine arccos definition
  531.    wt: 151:   5 Trigonometric Ratios For Tangent and Special Triangles
  532.    wt: 151:   2 Similar Triangles Equality of Corresponding Side Ratios
  533.    wt: 151:   9 Construction of a right bisector
  534.    wt: 151:   2 Correspondence between Triangles
  535.    wt: 151:   5 Algebraic Solutions Introduction
  536.    wt: 151:   2 Least Common Multiple LCM intro via list method
  537.    wt: 151:   25 Divisibility Tests for 2 3 5 9 10 Example
  538.    wt: 151:   8 Remainder Arithmetic Morulo 5 Examples II
  539.    wt: 151:   4 Remainder Arithmetic Modulo 10 in general
  540.    wt: 151:   3 Remainder Arithmetic Modulos 10 more still
  541.    wt: 151:   1 Divsion Physical Examples
  542.    wt: 150:   8 Radian Measures of Common Angles
  543.    wt: 150:   Triangle Angles Sum To 180 Degrees
  544.    wt: 150:   11 tangent function undefined when terminal side vertical
  545.    wt: 150:   2 More and Less Than for Counts and Measures
  546.    wt: 150:   1 More and Less Than for Counts and Measures
  547.    wt: 150:   10 Euclid Algorithm with 129 125 and with 45 14
  548.    wt: 150:   5 Reciprocals and Division for Fractions with Units
  549.    wt: 150:   16 Remainder Arithmetic Modulo 9 Example 2
  550.    wt: 150:   7 Remainder Arithmetic Modulo 5 Examples I
  551.    wt: 150:   9 Place Value Review Decimal form of Avogrados number included
  552.    wt: 149:   30 unit circle calculation of six trigonometric functions
  553.    wt: 149:   1 Proper Equal Sign Usage
  554.    wt: 149:   12 Remainder Arithmetic Modulo 10 Example
  555.    wt: 149:   6 Remainder Arithmetic Modulo 5 Propertie
  556.    wt: 148:   11 arctan left inverse of tangent Graph
  557.    wt: 148:   13 Pythagorean spatial distance formulas
  558.    wt: 148:   18 Triangle Similarity Take 1
  559.    wt: 148:   11 Triangle Construction Fails
  560.    wt: 148:   15 Remainder Arithmetic Modulo 9 Example
  561.    wt: 148:   14 Remainder Arithmetic Modulo 9 Example
  562.    wt: 148:   13 Remainder Arithmetic Modulo 5 Example
  563.    wt: 148:   1 Why 3 times 5 gives 15
  564.    wt: 148:   Primary and Secondary Skills and Practices with Take Home Value
  565.    wt: 147:   Straight Lines Intersection of
  566.    wt: 147:   11 Straight Lines Graphing y=mx
  567.    wt: 147:   9 Pythagorean Theorem Chinese Square Proof
  568.    wt: 147:   PS A Kite Construction Methods
  569.    wt: 147:   1 Essentially One Unknown
  570.    wt: 147:   A Decimals Modular and Remainder Arithmetic
  571.    wt: 147:   9 Remainder Arithmetic Divisibility by 5
  572.    wt: 147:   8 Correcting the Mistake
  573.    wt: 147:   2 One Digit Multipliers
  574.    wt: 146:   7 arcsin left inverse of sine Definition
  575.    wt: 146:   5 Swapping Coordinates is a reflection
  576.    wt: 146:   19 Pythagorean Identity For sine and cosine functions
  577.    wt: 146:   19 Right Triangle Similarity
  578.    wt: 146:   14 Parallel Lines Postulate
  579.    wt: 146:   13 Angle Side Angle Failure
  580.    wt: 146:   1 Initial Concepts and Terms
  581.    wt: 146:   5 Greater More Less Than Signs in General
  582.    wt: 146:   4 Greater More Less Than Signs in General
  583.    wt: 146:   C Equality for Fractions and Two Term Ratios and Fractions
  584.    wt: 146:   27 Divisibility by 2 3 6 5 9 10 Example
  585.    wt: 145:   3 Natural Logarithms and Exponentials Basic Properties
  586.    wt: 145:   2 Graphing y=Af(x) Vertical Scaling
  587.    wt: 145:   1 Straight Lines Slope Concept
  588.    wt: 145:   31 basic secant cosecant cotangent trig identities
  589.    wt: 145:   29 secant cosecant and cotangent for acute angles
  590.    wt: 145:   10 Similarity of Triangles Equivalent of Two Criteria
  591.    wt: 145:   3 Counting with Tables and Trees II
  592.    wt: 145:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  593.    wt: 144:   4 possible motivation for term arccos
  594.    wt: 144:   4 Tangent Function Properties
  595.    wt: 144:   10 Pythagorean plane distance formula
  596.    wt: 144:   5 Cartesian Addition and Translation
  597.    wt: 144:   12 Side Angle Side Failure
  598.    wt: 144:   2 Counting with Tables and Trees I
  599.    wt: 144:   Fraction Operations by Raising Terms A Simple Innovation
  600.    wt: 144:   22 Remainder Arithmetic Modulo 3 more
  601.    wt: 144:   2 Remainder Arithmetic Modulo 10 more
  602.    wt: 144:   18 video Count Factors given Prime Factorization
  603.    wt: 144:   15 video Factors of 20 using Prime Factorization
  604.    wt: 144:   6 Measuring via counting or arithmetic the role of fractions
  605.    wt: 143:   6 Radian Measure to Degrees
  606.    wt: 143:   5 Degrees to Radian Measure
  607.    wt: 143:   27 Logarithmic use of products of sines and cosines
  608.    wt: 143:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  609.    wt: 143:   1 GE Substitution four examples
  610.    wt: 142:   8 arcsin left inverse of sine Graph
  611.    wt: 142:   6 sines and cosines for reference angle 30 degrees
  612.    wt: 142:   5 sines and cosines for reference angle 60 degrees
  613.    wt: 142:   4 sines and cosines for reference angle 45 degrees
  614.    wt: 142:   3 sines and cosines for reference angle 90 degrees
  615.    wt: 142:   3 More and Less Than with Unlike Signs
  616.    wt: 142:   2 More and Less Than with Unlike Signs
  617.    wt: 142:   7 GCD and LCM from prime factorization
  618.    wt: 142:   1 Counting and Counting Methods I
  619.    wt: 142:   3 video Primes and Composites from 9 times table
  620.    wt: 142:   Area Between Crossing Curves Lesson Take 2
  621.    wt: 142:   Area Between Crossing Curves Lesson Take 1
  622.    wt: 142:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  623.    wt: 141:   25 tangent double angle formula Slope connection
  624.    wt: 141:   22 sine of 22.5 degrees via half angle formulas
  625.    wt: 141:   4 Trigonometric Ratios For Two Special Triangles
  626.    wt: 141:   13 Navigation Location from Angles to 2 Landmarks
  627.    wt: 141:   6 Intersection of lines by solving linear systems
  628.    wt: 141:   6 Polar Multiplication and Rotation
  629.    wt: 141:   13 GCD from given Prime Factorization
  630.    wt: 141:   LCM 60 45 Avoid List Method Use Prime
  631.    wt: 141:   24 Divisibility Tests for 2 3 5 9 10
  632.    wt: 141:   Example 1. Area Between x and x squared
  633.    wt: 141:   4 Money Matters Saving Earning Buying Selling and Budgets
  634.    wt: 140:   5 Tangent Function Graph
  635.    wt: 140:   17C sine and cosine double triple angle formulas
  636.    wt: 140:   16 Right Triangle Complementary Angle Relations
  637.    wt: 140:   1 Cartesian Coordinates sans signs
  638.    wt: 140:   2 Combing Counts Addition Skills and Principles
  639.    wt: 140:   2 Three Examples
  640.    wt: 140:   Skill Development Notes
  641.    wt: 140:   1 Written work formats for developing and showing skill
  642.    wt: 140:   10 video Prime Factorization upto 23 squared
  643.    wt: 140:   1 video how Products are bigger than factor
  644.    wt: 140:   2 Identifying Size and Position Place and Spatial Sense
  645.    wt: 139:   1 Degrees and Radians Introduction
  646.    wt: 139:   7 Translations Rotations Reflections Dilatations
  647.    wt: 139:   1 Numerical view of lines and their equations
  648.    wt: 139:   3 Rectangular Coordinates Review
  649.    wt: 139:   2 Cartesian Coordinates with signs
  650.    wt: 139:   3 Four Examples
  651.    wt: 139:   16 GCD and LCM of 650 225 via Prime
  652.    wt: 139:   11 GCD 2700 288 via Euclid Algorithm
  653.    wt: 139:   6 Simplification of Fractions with Units
  654.    wt: 139:   A Similarities between Fractions and Two Term Ratios
  655.    wt: 139:   26 Divisibility by 2 3 5 Example
  656.    wt: 139:   23 Remainder Arithmetic Modulo 2
  657.    wt: 139:   21 Remainder Arithmetic Modulo 3
  658.    wt: 139:   1 Remainder Arithmetic Modulo 10
  659.    wt: 139:   9 video Prime Factorization upto 19 squared
  660.    wt: 139:   B Powers of Ten
  661.    wt: 139:   5 More on Groups of 3 Place Value in Decimal Fractions
  662.    wt: 138:   8 Formulas for Fractional Exponents with Logarithms
  663.    wt: 138:   2 cosine function more properties
  664.    wt: 138:   14 Why Scalar Multiplication Distributes Physical Argument
  665.    wt: 138:   28 Expressing products of sines cosines as sums
  666.    wt: 138:   18 sum of sinusoidal waves as a single wave
  667.    wt: 138:   7 Exercises to test skill and concept mastery
  668.    wt: 138:   8 Distance Between Points on a Line
  669.    wt: 138:   4 Polar Coordinates to and from
  670.    wt: 138:   5 Drawing to Scale Avoids Angle Distortions
  671.    wt: 138:   6 Equations and Systems Equivalent or Implied
  672.    wt: 138:   4 GE III Animated Examples
  673.    wt: 138:   5 Remainder Arithmetic Modulo 5
  674.    wt: 138:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  675.    wt: 137:   7 logic review and decimals an odd combination
  676.    wt: 137:   12 motivation for term arctan
  677.    wt: 137:   26 Formulas for products of sines and cosines
  678.    wt: 137:   17D cis formulas for sine cosines and tangent
  679.    wt: 137:   17A The complex number valued trig function cis
  680.    wt: 137:   14 cosine even and sine and tangent are odd
  681.    wt: 137:   8 Isoceles Triangles
  682.    wt: 137:   15 Head to Tails in place Addition Associative
  683.    wt: 137:   3 Properties of Square Roots with example
  684.    wt: 137:   17 GCD LCM of 85 and 60 via Prime
  685.    wt: 137:   1 Addition and Subtraction with Units
  686.    wt: 137:   15 Adding and Subtracting with Unlike Denominators
  687.    wt: 137:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  688.    wt: 137:   2 Groups of Three Place Value for Multidigit Decimals
  689.    wt: 137:   3 Telling Tracking Time Temporal and More Place Sense
  690.    wt: 137:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  691.    wt: 136:   9 motivation for name arcsin
  692.    wt: 136:   17E Trig Formulas for dot and cross Products
  693.    wt: 136:   15 sine cosine Complementary Angle Relations
  694.    wt: 136:   10 Graphs of sines and cosines many periods
  695.    wt: 136:   6 Trigonometry Sines of Supplementary Angles
  696.    wt: 136:   5 Similarity of Circles Squares and Rectangles
  697.    wt: 136:   21 Parallelograms
  698.    wt: 136:   7 Angle Side Angle
  699.    wt: 136:   6 Column Methods for Decimal Multiplication
  700.    wt: 136:   9 Circle Area and Perimeter Formula Backwards Forwards
  701.    wt: 136:   2 signed and unsigned numbers as coordinates
  702.    wt: 136:   10 Names for Big Numbers and Powers of Ten Expansion
  703.    wt: 136:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  704.    wt: 135:   7 Formulas for Roots with Logarithms Derivation
  705.    wt: 135:   6 Formulas for Even and Odd Roots with Logarithms
  706.    wt: 135:   12 Graph of tangent function for one period
  707.    wt: 135:   9 Graphs of sine and cosine over one period
  708.    wt: 135:   Right Triangle and Unit Circle Trigonometry
  709.    wt: 135:   Right Triangle and Unit Circle Trigonometry
  710.    wt: 135:   17 Arrows Rotate to Reverse with Length Unchanged
  711.    wt: 135:   11 Signed Number Addition and Addition Properties
  712.    wt: 135:   7 Decimals Multiplication Methods Examples
  713.    wt: 135:   5 Proportionality in Equivalent Fractions
  714.    wt: 135:   4 Comparison of Negative Numbers
  715.    wt: 135:   3 Comparison of Negative Numbers
  716.    wt: 135:   5 Common Divisors 60 45 via Prime
  717.    wt: 135:   14 Adding and Subtracting with Like Denominators
  718.    wt: 135:   10 Simplification of Fractions and Mixed Numerals
  719.    wt: 134:   23 sine and cosine of 180 plus 22.5 degrees
  720.    wt: 134:   17B sine cosine Angle Sum Formulas via cis
  721.    wt: 134:   13 Graph of tangent function many periods
  722.    wt: 134:   5 Side Angle Side
  723.    wt: 134:   3 Lengths and Areas on Maps and Plans
  724.    wt: 134:   8 Division and Mulplication of Compound Fractions
  725.    wt: 134:   8 Column Multiplication Methods in General
  726.    wt: 134:   3 Multiplicative Counting Skills Principles
  727.    wt: 134:   1 Formulas Dependence and Function Notation
  728.    wt: 134:   9 Three Examples
  729.    wt: 134:   6 Three Examples
  730.    wt: 134:   5 Three Examples
  731.    wt: 134:   2 Three Examples
  732.    wt: 134:   27 Chain Rule sinusoidal outer inner functions EGS
  733.    wt: 134:   1 From Number Recognition and Counting to Arithmetic A
  734.    wt: 133:   6 Graph of arccos function
  735.    wt: 133:   1 cosine function properties
  736.    wt: 133:   3 graphing y=f(x c) plus K
  737.    wt: 133:   20 sine and cosine Double Angle Formulas
  738.    wt: 133:   9 Midpoint Coordinates Half Endpoint Sum
  739.    wt: 133:   4 Angles on Maps Plans drawn to scale
  740.    wt: 133:   3 Geometric Formulas and Function Notation
  741.    wt: 133:   5 Square Roots with primes more still
  742.    wt: 133:   8 GCD from Euclidean Algorithm
  743.    wt: 133:   1 Least Common Multiples LCM Introduction
  744.    wt: 133:   4 signed coordinates for regions in space
  745.    wt: 133:   3 signed coordinates for maps and planes
  746.    wt: 133:   Area Between Curves Lesson Take 2
  747.    wt: 133:   Area Between Curves Lesson Take 1
  748.    wt: 133:   38 Formulas and derivatives for powers and roots
  749.    wt: 133:   16 Derivatives of reciprocals of sine and cosine
  750.    wt: 133:   1 From Number Recognition and Counting to Arithmetic B
  751.    wt: 132:   21 sine and cosine Half Angle Formulas
  752.    wt: 132:   4 Side Side Side
  753.    wt: 132:   25 Mid way Convergence to Axiomatic Approach
  754.    wt: 132:   1 Decimals Modular and Remainder Arithmetic
  755.    wt: 132:   10 One Example
  756.    wt: 132:   7 Two Examples
  757.    wt: 132:   4 Two Examples
  758.    wt: 132:   3 Two Examples
  759.    wt: 132:   6 Pythagorean Hypotenuse Calculation Example
  760.    wt: 132:   11 Place Value SI Standard International way
  761.    wt: 132:   Volume of Solid by Cross Sections Lesson
  762.    wt: 131:   9 Formulas for Real Exponents with Logarithms
  763.    wt: 131:   17 tangent function angle sum formulas
  764.    wt: 131:   11 Triangle Similarity Missing Side Problem
  765.    wt: 131:   8 More Use of Maps Not Drawn to Scale
  766.    wt: 131:   7 Arithmetic with Infinite Decimal Expansions
  767.    wt: 131:   3 Location of Point in Decimal Multiplication
  768.    wt: 131:   4 Commutative Law Groups Counting Form
  769.    wt: 131:   5 Independent versus Dependent Variables
  770.    wt: 131:   8 One Example
  771.    wt: 131:   4 LCM of 8 and 10 via Prime
  772.    wt: 131:   17 Identify and Count Factors using Primes
  773.    wt: 131:   4 Groups of 3 Place Value in Decimal Fractions
  774.    wt: 130:   4 graphing y=Asin(x c)
  775.    wt: 130:   35 sines and cosines of 2A 3A 4A 5A
  776.    wt: 130:   34 sines and cosines of 2A 3A 4A 5A
  777.    wt: 130:   33 sines and cosines of 2A 3A 4A 5A
  778.    wt: 130:   Unit Circle Development of Trigonometry
  779.    wt: 130:   3 Trigonometric Ratios sine and cosine
  780.    wt: 130:   9 Similarity of Triangles Usual Criteria
  781.    wt: 130:   1 Early Concept of Like or Similar Shapes
  782.    wt: 130:   3 Slope product for perpendicular lines
  783.    wt: 130:   A Measurement with Ruler Proper Use
  784.    wt: 130:   5 Fractions with Infinite Decimal Expansions
  785.    wt: 130:   4 Fraction Operations Axiomatic Development
  786.    wt: 130:   4 Rates Ratios and Proporitionality
  787.    wt: 130:   19 video Prime Factorization Unique
  788.    wt: 130:   16 video Factors of 980 using prime
  789.    wt: 130:   8 video Prime Factorization upto 19
  790.    wt: 130:   5 Prime Factorization and a Square Rule
  791.    wt: 130:   17 Derivatives of quotients of sine and cosine
  792.    wt: 130:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  793.    wt: 129:   5 Natural Logarithm Calculator Exercises
  794.    wt: 129:   11 sine and cosine double triple angle formulas
  795.    wt: 129:   4 Similarity Definition with Coordinate
  796.    wt: 129:   7 Complex Numbers Appetizer
  797.    wt: 129:   18 Geometrically Why Vector Addition Commutes
  798.    wt: 129:   14 Vector Head to Tail Sums and Resultants
  799.    wt: 129:   B Decimal Comparison and Subtraction
  800.    wt: 129:   2 Another Rectangle Area Formula Example
  801.    wt: 129:   11 What are real lengths and numbers
  802.    wt: 129:   3 Multiplying Units and Numbers
  803.    wt: 129:   8 Numerals Fractionals Quantals Take II
  804.    wt: 129:   13 video Factors of 24 using prime
  805.    wt: 129:   6 Sieve of Eratosthenes and Square Rule
  806.    wt: 129:   Example 4 with x function of y
  807.    wt: 129:   26 Chain Rule Recognising outer inner functions
  808.    wt: 129:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  809.    wt: 128:   24 tangent Angle Difference Formula
  810.    wt: 128:   8 Triangles Cascade Problem Solving
  811.    wt: 128:   21 Addition of Multiples of a Single Vector
  812.    wt: 128:   2 Counting Digits in Decimal Multiplication
  813.    wt: 128:   1 Fractions with Finite Decimal Expansions
  814.    wt: 128:   A Decimal Addition Columm Methods
  815.    wt: 128:   2 Fraction Operations Physical Development
  816.    wt: 128:   2 Addition and Multiplication Axioms
  817.    wt: 128:   12 GCD 2700 288 via Prime
  818.    wt: 128:   7 Converting or Changing Units
  819.    wt: 128:   16 Addition Subtraction Comparision Compared
  820.    wt: 128:   7 Calculator Usage Notes and Cautions
  821.    wt: 128:   3 More on Groups of 3 Multi Digit Place Value
  822.    wt: 128:   A Chain Rule Real Player video examples
  823.    wt: 128:   33 Chain Rule Real Player video examples
  824.    wt: 128:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  825.    wt: 127:   7 Coordinate Addition and Scalar Multiplication
  826.    wt: 127:   1 graphing y=f(x a)
  827.    wt: 127:   8 Similarity of Triangles and Polygons
  828.    wt: 127:   3 Similarity by Design with coordinates
  829.    wt: 127:   12 Spatial Coordinates
  830.    wt: 127:   9 Division with Digits after Decimal Point
  831.    wt: 127:   C Three Decimal Subtraction Methods
  832.    wt: 127:   5 Distributive Law for Whole Numbers
  833.    wt: 127:   1 Real Numbers Comparison
  834.    wt: 127:   2 GE II Comparison
  835.    wt: 127:   13 Naming Identifying Formulas with Words
  836.    wt: 127:   4 Square Roots with primes more
  837.    wt: 127:   25 Chain Rule Animated Examples Continued
  838.    wt: 127:   7 Evaluation by immediate or delayed substitution
  839.    wt: 126:   32 seven rows of pascals triangle
  840.    wt: 126:   1 Unit Points Reflections Rotations
  841.    wt: 126:   12 cis formulas for sine cosines and tangent
  842.    wt: 126:   12 Triangles Similarity More Problems
  843.    wt: 126:   4 Equations for lines three forms
  844.    wt: 126:   2 point slope equation for a line
  845.    wt: 126:   11 Triangle Inequality
  846.    wt: 126:   6 Figuring with Maps Not to Scale
  847.    wt: 126:   24 Signed Numbers Arithmmetic Properties
  848.    wt: 126:   12 Real Numbers Line Signed Coordinates
  849.    wt: 126:   6 Infinite Decimals Ending in 9 repeating
  850.    wt: 126:   4 Rectangle Area and Like Formulas Backwards
  851.    wt: 126:   8 Compound Interest Formula Evaluation
  852.    wt: 126:   6 Multiplication Algebraically Take II
  853.    wt: 126:   14 video Factors of 24 Take II
  854.    wt: 125:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  855.    wt: 125:   13 Trig Formulas for dot and cross Products
  856.    wt: 125:   4 Location of Point in Decimal Addition
  857.    wt: 125:   1 Squares and Square Roots Introduction
  858.    wt: 125:   20 Uniqueness of Prime Factorization
  859.    wt: 125:   4 video Prime Factorization Introduction
  860.    wt: 125:   1 Place Value in Three Digit Whole Numbers
  861.    wt: 125:   5 Interpreting and Drawing Maps and Plans.
  862.    wt: 124:   5 logarithms and exponentials etc
  863.    wt: 124:   10 Exponential Growth and Decay Models
  864.    wt: 124:   2 Square Root Simplification a prequel
  865.    wt: 124:   9 The complex number valued trig function cis
  866.    wt: 124:   7 Trignometric Ratios Unit Circle
  867.    wt: 124:   1 Angle Measurement with Degrees
  868.    wt: 124:   16 Collinear Horizontal Arrows Vectors
  869.    wt: 124:   4 Subtraction and Division Axioms
  870.    wt: 124:   7 negative and additive inverse
  871.    wt: 124:   21 Reciprocals for Fractions and Wholes
  872.    wt: 124:   13 Fraction Comparison Algebraic View
  873.    wt: 124:   Example 1 volume of a pyramid
  874.    wt: 124:   1 Two cubic sketching exercises with 1st derivative
  875.    wt: 124:   28 Chain Rule Preparation for a Proof
  876.    wt: 124:   13 Limits with Parameters and Derivatives Take II
  877.    wt: 124:   12 Limits with Parameters and Derivatives Take I
  878.    wt: 124:   3 Decimal insights for limits continuity convergence
  879.    wt: 124:   Chapter 4 Logic for Reading Writing and Geometry etc
  880.    wt: 123:   Appendix 1 primary and preschool mathematic
  881.    wt: 123:   1 arithmetic with unsigned numbers
  882.    wt: 123:   6 Polynomial Operations and Equivalent Computation Rules
  883.    wt: 123:   17G Pythagorean Theorem Converse
  884.    wt: 123:   10 sine cosine Angle Sum Formulas via cis
  885.    wt: 123:   10 Midpoint of [a b] and [b a]
  886.    wt: 123:   1 The Counting Origins of Numbers
  887.    wt: 123:   17 Efficient Ways to Add and Subtract
  888.    wt: 123:   11 Simplification an Algebraic View
  889.    wt: 123:   2 Prime and Composites less than 16
  890.    wt: 123:   8 Review Lesson 1 2 4 and 6 All in One
  891.    wt: 122:   sign monoticity analysis example 4
  892.    wt: 122:   sign monoticity analysis example 3
  893.    wt: 122:   sign monoticity analysis example 2
  894.    wt: 122:   sign monoticity analysis example 1
  895.    wt: 122:   2 Quadrant I reference Angles
  896.    wt: 122:   1 Rectangular Polar Coordinates Review
  897.    wt: 122:   A Modular and Remainder Arithmetic
  898.    wt: 122:   23 Distributive Law Two Derivations
  899.    wt: 122:   8 Pythagorean Relation Forwards Backwards
  900.    wt: 122:   9 Improper Fractions and Mixed Numbers
  901.    wt: 122:   15 sine and cosine derivatives 3rd step
  902.    wt: 122:   14 sine and cosine derivatives 2nd step
  903.    wt: 122:   13 sine and cosine derivatives 1st step
  904.    wt: 122:   3 Motivation for Limit Definition Take 2
  905.    wt: 122:   2 Motivation for Limit Definition Take 1
  906.    wt: 121:   9 combinatorics probability sets
  907.    wt: 121:   2 arithmetic with signed numbers
  908.    wt: 121:   8 Unit Circle Development of Trigonometry
  909.    wt: 121:   5 An Easy Proof of the Distributive Law
  910.    wt: 121:   26 More Less Greater Than Comparison
  911.    wt: 121:   7 Pythagorean Theorem Chinese Square Proof
  912.    wt: 121:   5 lengths and signs of numbers
  913.    wt: 121:   7 Animated Differentiation Examples
  914.    wt: 120:   C LAMP Introduction Culture in Mathematics Education
  915.    wt: 120:   16 References and Originality Question
  916.    wt: 120:   Why Trigonometry the whyslopes view
  917.    wt: 120:   musings do not puiblish real numbers
  918.    wt: 120:   E Long Division Methods more
  919.    wt: 120:   6 Compound Interest Forward and Backwards
  920.    wt: 120:   3 Linear Equation Literal Solution More
  921.    wt: 120:   2 Computation Rules Evaluation
  922.    wt: 120:   2 Square Roots with Prime
  923.    wt: 120:   4 Fractions with Units
  924.    wt: 120:   Example 2 volume of a cone
  925.    wt: 120:   34 Derivative of exponential function
  926.    wt: 120:   Systematic Algebra Skill Development Missing Links
  927.    wt: 119:   B LAMP Introduction Curriculum Development Standards
  928.    wt: 119:   8 period of tangent function
  929.    wt: 119:   21 Logarithms Powers and Exponentials
  930.    wt: 119:   12 Links Lessons elsewhere
  931.    wt: 119:   5 Algebraic View of Slopes
  932.    wt: 119:   2 Measuring Area Directly
  933.    wt: 119:   22 Multiplication of Signed Numbers
  934.    wt: 119:   13 Arrows and Vectors in a Plane
  935.    wt: 119:   3 Proportionality Examples
  936.    wt: 119:   1 Equivalent Computation Rules
  937.    wt: 119:   12 Cone Cylinder Sphere Lesson Idea
  938.    wt: 119:   3 Triangle Area Formula Example
  939.    wt: 119:   2 Equality and Units
  940.    wt: 119:   12 LCD GCD and LCM using Primes
  941.    wt: 119:   012 Division of Time Intervals by Time Intervals
  942.    wt: 119:   7 Games and Activities for Instruction
  943.    wt: 119:   Ends Values Methods For Skill Development Framework Prequel
  944.    wt: 118:   7 period of sine and cosine
  945.    wt: 118:   2 Complex Numbers made easier we hope
  946.    wt: 118:   Appetizer A Complex Number Applet
  947.    wt: 118:   6 Geometric Diagrams in Class
  948.    wt: 118:   A Signed Number Arithmetic Review
  949.    wt: 118:   1 What is Proportionality
  950.    wt: 118:   6 GCD from Prime
  951.    wt: 118:   9 subtracting signed numbers
  952.    wt: 118:   7 Numerals Fractionals Quantals
  953.    wt: 118:   9 Comparison and Subtraction of Time Intervals
  954.    wt: 118:   10 Power rule for negative integers
  955.    wt: 118:   10 Three one sided limits with infinite values
  956.    wt: 118:   5 Jumps and absence of unlimited error control
  957.    wt: 117:   Appendix 2 primary school Arithmetic 01
  958.    wt: 117:   3 Euclidean Geometry Leanly
  959.    wt: 117:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  960.    wt: 117:   1 Calculator Starter Exercises
  961.    wt: 117:   5 Areas of Rectangles Revisited
  962.    wt: 117:   3 Product Axioms Two Forms
  963.    wt: 117:   8 multiplying signed numbers
  964.    wt: 117:   8 Addition of Time Intervals via subtotaling
  965.    wt: 117:   36 Cube root derivative animated
  966.    wt: 117:   31 Derivatives of inverse functions
  967.    wt: 117:   29 Chain Rule Optional Reading
  968.    wt: 117:   24 Chain Rule Animated Examples
  969.    wt: 117:   19 Chain Rule for linear functions
  970.    wt: 116:   8 quadratics backward use of various formulas
  971.    wt: 116:   11 Growth and Decay in Biology
  972.    wt: 116:   7 Second Way to Calculate Products
  973.    wt: 116:   What is and is not here
  974.    wt: 116:   7 Compound Interest Formula Introduction
  975.    wt: 116:   4 Circle Area Formula Example
  976.    wt: 116:   B Fractions and Two Term Ratios
  977.    wt: 116:   C Divisibility by 11 Integer Recognition Method
  978.    wt: 116:   11 Efficient Square Rule Use
  979.    wt: 116:   1 Fall 1983 Why Slopes Appetizer
  980.    wt: 115:   Math Ed if it must be short make it lean effective
  981.    wt: 115:   6 Field Properties of Complex Number
  982.    wt: 115:   3 Inequalities Algebraically
  983.    wt: 115:   10 dividing signed numbers
  984.    wt: 115:   6 Multiplication of Mixed Numbers
  985.    wt: 115:   20 Chain Rule for Pulley Systems
  986.    wt: 115:   8 Differentiation of polynomials
  987.    wt: 114:   11 A Partial Summary
  988.    wt: 114:   5 Triangle Area Formula Backwards
  989.    wt: 114:   6 adding signed numbers
  990.    wt: 114:   20 Dividing Fractions the Why
  991.    wt: 114:   3 Unit fraction of a fraction
  992.    wt: 114:   2 Unit Fraction Multiplication
  993.    wt: 114:   1 What is a fraction Take II
  994.    wt: 114:   4 Second derivative test exercise example
  995.    wt: 114:   Multiple Ways to Improve Mathematics Skill Development
  996.    wt: 113:   8 analytic geometry etc
  997.    wt: 113:   Education in mathematics science and technology
  998.    wt: 113:   fairness and inductive principles for instruction
  999.    wt: 113:   Four Simple Exercises
  1000.    wt: 113:   19 Signed Multiples of Vectors
  1001.    wt: 113:   D Long Division Methods
  1002.    wt: 113:   2 Linear Equation Literal Solution
  1003.    wt: 113:   Using Letters for Physical Quantities
  1004.    wt: 113:   19 Dividing Fractions How TO
  1005.    wt: 113:   11 Adding Integers Formulas and Examples
  1006.    wt: 113:   8 Multiplication by Signed Numbers Integers
  1007.    wt: 113:   Appendix A Calculus with Proofs for Keen or Gifted
  1008.    wt: 112:   12 From Applied To Pure Mathematics
  1009.    wt: 112:   3 Navigation with Arrows or Vectors
  1010.    wt: 112:   15 Pythagorean Theorem Converse
  1011.    wt: 112:   1 Length Measurement
  1012.    wt: 112:   5 Equality in Algebra
  1013.    wt: 112:   18 Efficient Ways to Multiply
  1014.    wt: 112:   22 Chain Rule for polynomials
  1015.    wt: 112:   6 Power rule from product rule
  1016.    wt: 111:   Ramblings Extrinsic numbers theory
  1017.    wt: 111:   5 Polynomials Long division Nonlinear divisor
  1018.    wt: 111:   8 Mid Point Formula
  1019.    wt: 111:   22 Complex Compound Fractions
  1020.    wt: 111:   13 Subtraction with Additive Inverse
  1021.    wt: 111:   4 Adding Movements wiht opposite directions
  1022.    wt: 111:   016 Numbering Occidental Calendar Days
  1023.    wt: 111:   015 School and work day counting tables
  1024.    wt: 111:   011 Division of Time Intervals By Numbers
  1025.    wt: 111:   010 Repeated Addition of Time Intervals
  1026.    wt: 110:   chapitre 07 00 Des chaines plus longues de la raison
  1027.    wt: 110:   10 Parallelogram Addition Method
  1028.    wt: 110:   20 N th Roots of Complex Numbers
  1029.    wt: 110:   10 Set View of Wordy Extensions To Arithmetic
  1030.    wt: 110:   11 Limits at infinity Three Examples
  1031.    wt: 109:   11 pure mathematics
  1032.    wt: 109:   Applied Maths Program14092009 POMME variant
  1033.    wt: 109:   4 Resultant of a Sum of Movements
  1034.    wt: 109:   2 Similarity By Design
  1035.    wt: 109:   2 Algebraic View
  1036.    wt: 109:   12 Real Number Additive Inverses or Negatives
  1037.    wt: 109:   4 Fraction Multiplication
  1038.    wt: 109:   B Integer Long Division Multiple Choices
  1039.    wt: 109:   A Associative Law Theorectical Note
  1040.    wt: 109:   2 Integers Multiplies of a Unit Moverment
  1041.    wt: 109:   4 Definite Integrals Evaluation Exercises
  1042.    wt: 109:   1 Chain Rule in Reverse Integration Method
  1043.    wt: 109:   Chapter 22 Contrapositive and Vacuously True Implications
  1044.    wt: 108:   K LAMP Musings Science Education
  1045.    wt: 108:   H LAMP Introduction Instructional Concepts
  1046.    wt: 108:   25 Absolute Value greatest integer and saw tooth functions
  1047.    wt: 108:   9 quadratics physical and further context
  1048.    wt: 108:   4 Polynomials Long division linear divisor
  1049.    wt: 108:   Vector and Complex Number Applet
  1050.    wt: 108:   17F Law of cosines
  1051.    wt: 108:   4 Multiplication Properties
  1052.    wt: 108:   Formula Usage Show Work Format
  1053.    wt: 108:   5 Box Volume Formula Example
  1054.    wt: 108:   12 Quotient rule examples
  1055.    wt: 108:   Chapter 6 More Algebra and Geometry
  1056.    wt: 107:   G LAMP Introduction Problem Solving Skills
  1057.    wt: 107:   A Global Time and Navigation
  1058.    wt: 107:   9 Head to Tail Coordinate View
  1059.    wt: 107:   5 Head To Tail Arrow Addition
  1060.    wt: 107:   4 Changing Letters
  1061.    wt: 107:   D Remainders Modulo 11 Pair Rule
  1062.    wt: 107:   3 Adding Movements with same direction
  1063.    wt: 107:   Example 3
  1064.    wt: 107:   Example 2
  1065.    wt: 107:   Example 1
  1066.    wt: 107:   23 Chain Rule in general
  1067.    wt: 107:   Chapter 29 Contrapositive and Vacuously True Implications
  1068.    wt: 107:   Chapter 14 Deductive and Empirical Views of Mathematics
  1069.    wt: 107:   More Algebra and Slope based Calculus Preview
  1070.    wt: 106:   Ramblings Introduction Algebra Essay
  1071.    wt: 106:   6 polynomials etc
  1072.    wt: 106:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  1073.    wt: 106:   5 Equivalent Fractions
  1074.    wt: 106:   5 Zero Movement and Additive Inverses
  1075.    wt: 106:   4 Mixing and Changing Units of Time
  1076.    wt: 106:   30Chain Rule A Proof
  1077.    wt: 106:   21 Chain Rule for powers
  1078.    wt: 106:   9 Limits Continuity and Composition
  1079.    wt: 106:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1080.    wt: 106:   Chapter 3 Algebra Starter Lessons
  1081.    wt: 106:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  1082.    wt: 105:   E LAMP Introduction Modern Mathematics
  1083.    wt: 105:   chapitre 07 01 principle D induction mathematique
  1084.    wt: 105:   12 Fraction Comparison
  1085.    wt: 105:   1 What is a fraction
  1086.    wt: 105:   6 Multiplication by Natural Numbers
  1087.    wt: 105:   2 Time and Date Matters in School
  1088.    wt: 105:   1 Intro of Kids To Time Date Skills
  1089.    wt: 105:   2 Second derivative test prequel
  1090.    wt: 105:   Chapter 16 Origins and Limitations of Rules and Patterns
  1091.    wt: 105:   Chapter 4 Implication Rules Forwards and Backwards
  1092.    wt: 104:   need for a mixed mathematics curriculum
  1093.    wt: 104:   4 quadratics difference of two squares
  1094.    wt: 104:   3 Polynomials Multiplication Addition
  1095.    wt: 104:   13 Velocity Vectors in Physics
  1096.    wt: 104:   9 Sets in Probability and Statistics
  1097.    wt: 104:   Practical Methods Ends and Values for Arithmetic
  1098.    wt: 104:   014 Counting Days with Calendars
  1099.    wt: 104:   Chapter 7 Calculus Previews and Calculus Lightly
  1100.    wt: 103:   Skills Chapter 1 Arithmetic
  1101.    wt: 103:   three goals for Mathematics Education
  1102.    wt: 103:   02 20 mathematics education references
  1103.    wt: 103:   18 Sixth Roots of Unity
  1104.    wt: 103:   21 Working With Signs
  1105.    wt: 103:   12 Adding Integers More Examples
  1106.    wt: 103:   Chapter 2 Implication Rules Forwards and Backwards
  1107.    wt: 103:   Chapter 8 Skipped Topics and Why
  1108.    wt: 103:   Helping the Blind in Logic and Mathematics
  1109.    wt: 102:   J LAMP Introduction Extrinsic Origins
  1110.    wt: 102:   10 statistics
  1111.    wt: 102:   What is POMME
  1112.    wt: 102:   grouping students according to ability
  1113.    wt: 102:   04 25 when to stop or suspend mathemat
  1114.    wt: 102:   chapitre 04 10 Etapes pour une meilleur raison
  1115.    wt: 102:   19 N th Roots of Unity
  1116.    wt: 102:   17 Cube Roots of unity
  1117.    wt: 102:   3 Addition Properties
  1118.    wt: 102:   7 Cautious or Safe Set Construction
  1119.    wt: 102:   D Three Term Ratios
  1120.    wt: 102:   10 Integer Multiplication Formulas
  1121.    wt: 102:   Chapter 14 Limits and Continuity with and sans Decimals
  1122.    wt: 102:   Chapter 14. Forward and Backward Use of a Formula
  1123.    wt: 102:   Postscript Unifying Theme A Fourth Skill For Algebra
  1124.    wt: 102:   Postscript D Reflections on Law of the Excluded Middle
  1125.    wt: 102:   Chapter 17 Objective Ways Trial and Error Discovery
  1126.    wt: 101:   Skills Chapter 3 Algebra
  1127.    wt: 101:   Different Kinds of Reasoning in maths
  1128.    wt: 101:   three kinds of reason in mathematics
  1129.    wt: 101:   Four ways to improve education reform
  1130.    wt: 101:   21 Graphs of functions given by Horizontal Line Method
  1131.    wt: 101:   3 quadratics factoring by inspection
  1132.    wt: 101:   6 Vectors with Coordinates
  1133.    wt: 101:   1 Changing Calculations
  1134.    wt: 101:   8 Four Animated Examples
  1135.    wt: 101:   2 Algebraic codification
  1136.    wt: 101:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1137.    wt: 100:   Skills Chapter 2 Geometry
  1138.    wt: 100:   teaching tutoring algebraic reason
  1139.    wt: 100:   three aims for mathematics students
  1140.    wt: 100:   Prequel In For A Penny In For A Pound
  1141.    wt: 100:   chapitre 03 A Propos Des Prochains Chapitre
  1142.    wt: 100:   15 Dot and Cross Product
  1143.    wt: 100:   10 Volume of Pyramid
  1144.    wt: 100:   6 How long is a million seconds
  1145.    wt: 100:   9 Reciprocal rule
  1146.    wt: 100:   Postscript B Mathematics Education References

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

Return to Page Top

Home << Search

[1] [2] [3] [4]

Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.