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.

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86 matches:

  1.    wt: 99:   Step 1 Stick diagram and fractions/
  2.    wt: 97:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 96:   11 Parallel Straight Lines and Transversals/
  4.    wt: 93:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 92:   Step 4 Gaussian Elimination/
  6.    wt: 90:   12 Function Translating and Rescaling/
  7.    wt: 89:   12 Comparison of Unsigned and Signed Numbers/
  8.    wt: 88:   9 Combinatorics Trees Tables and Products/
  9.    wt: 86:   3 Cartesian and Polar Coordinates/
  10.    wt: 85:   6 More Less Greater Than Inequalities and Comparison/
  11.    wt: 85:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 83:   7 Arithmetic and Fractions with Units/
  13.    wt: 82:   10 LCM GCD and Euclid GCD Algorithm/
  14.    wt: 79:   8 Unit Circle Trigonometry/
  15.    wt: 79:   6 Trigonometry first steps/
  16.    wt: 78:   4 Lines and Slopes Take 1/
  17.    wt: 78:   8 Arithmetic with Signed Numbers/
  18.    wt: 77:   1 Maps Plans Measurement/
  19.    wt: 76:   A Origins of Counting and Figuring Methods/
  20.    wt: 76:   12 Webvideo Lessons on Area and Volume Calculation/
  21.    wt: 74:   9 Proportionality Backwards and Forwards/
  22.    wt: 74:   4 Computation Rules and Function Notation/
  23.    wt: 74:   3 Prime Factorization Skills/
  24.    wt: 73:   Progressive Observable Motivated Mathematics Education/
  25.    wt: 73:   5 What is Similarity/
  26.    wt: 73:   7 Axioms Logic and Equivalent Equations/
  27.    wt: 73:   11 Squares and Square Roots/
  28.    wt: 72:   2 Arithmetic with Decimals/
  29.    wt: 70:   B Real Numbers Extrinsic Development/
  30.    wt: 69:   2 Natural Logarithms Exponentials Powers Roots/
  31.    wt: 69:   7 Complex Numbers/
  32.    wt: 69:   38 Lessons on Calculating Derivatives/
  33.    wt: 68:   10 Examples of Algebraic Reasoning/
  34.    wt: 68:   2 Formula Forward Use Evaluation/
  35.    wt: 68:   6 Fractions and Ratios/
  36.    wt: 67:   5 Factored Polynomial Sign Analysis Examples/
  37.    wt: 67:   1 Decimal Place Value/
  38.    wt: 66:   13 Lessons on Limits and Continuity/
  39.    wt: 63:   13 Vectors/
  40.    wt: 62:   8 Unifying Theme For Algebra/
  41.    wt: 62:   PreSchool and Primary Mathematics or Quantitative Skills/
  42.    wt: 61:   4 Lessons on Using Derivatives/
  43.    wt: 60:   3 Solving Linear Equations/
  44.    wt: 58:   LAMP Lean Applied Mathematics Program/
  45.    wt: 56:   5 Integers/
  46.    wt: 56:   Time Date Matters/
  47.    wt: 55:   5 Lessons on Integration/
  48.    wt: 53:   1 Working With Sets/
  49.    wt: 51:   1 Five Polynomial Operations/
  50.    wt: 50:   Mathematics 506 Lessons/
  51.    wt: 50:   Secondary Mathematics A Practical Approach/
  52.    wt: 49:   3 Quadratics Geometrically/
  53.    wt: 48:   Geometry maps plans trigonometry vectors/
  54.    wt: 48:   5 Real Numbers/
  55.    wt: 47:   Mathematics Education Essays/
  56.    wt: 45:   Mathematics Skill Development Framework/
  57.    wt: 41:   Volume 1A Regles et modeles/
  58.    wt: 41:   Arithmetic and Number Theory Skills/
  59.    wt: 41:   Volume 1B Mathematics Curriculum Notes/
  60.    wt: 38:   Direct Current Electric Circuits/
  61.    wt: 37:   Mathematics Skills Year by Year/
  62.    wt: 36:   Resources and Reciprocal Links/
  63.    wt: 35:   Volume 3 Why Slopes A Calculus Intro Etc/
  64.    wt: 34:   4 Functions/
  65.    wt: 34:   Volume 2 Three Skills For Algebra/
  66.    wt: 33:   Skills with take home value/
  67.    wt: 33:   Volume 1A Pattern Based Reason/
  68.    wt: 29:   Algebra Starter Lessons/
  69.    wt: 28:   Volume 1 Elements of Reason/
  70.    wt: 26:   70 Calculus Starter Lessons/
  71.    wt: 25:   Work and Study Tips/
  72.    wt: 21:   Quebec Material/
  73.    wt: 19:   Parent Center/
  74.    wt: 18:   More Algebra/
  75.    wt: 15:   Advanced Calculus Volume 3 Appendices/
  76.    wt: 14:   Archives/
  77.    wt: 14:   francais/
  78.    wt: 119:   B Decimal Comparing and Subtracting Methods/
  79.    wt: 114:   A Decimal Counting and Adding Methods/
  80.    wt: 109:   C Decimal Multiplication Methods/
  81.    wt: 108:   D Decimal Long Division Methods/
  82.    wt: 107:   Step 2 Algebraic solutions for one unknown/
  83.    wt: 106:   Step 3 Easy systems in 2 or more unknowns/
  84.    wt: 103:   2 Euclidean Geometry Constructions Theory extras/
  85.    wt: 100:   10 Intersecting Straight Lines and Transversals/
  86.    wt: 100:   9 Lines and Slopes Take 2 with tangent function/

Web Page Search

1146 matches:

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

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1146 matches:

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

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.

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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

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