Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

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

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: 97:   14 Degrees to Radians and Radians to Degrees/
  2.    wt: 96:   11 Parallel Straight Lines and Transversals/
  3.    wt: 93:   15 Arc or Inverse Trigonometric Function/
  4.    wt: 93:   Step 2 Algebraic solutions for one unknown/
  5.    wt: 93:   Step 1 Stick diagram and fractions/
  6.    wt: 90:   12 Function Translating and Rescaling/
  7.    wt: 88:   12 Webvideo Lessons on Area and Volume Calculation/
  8.    wt: 86:   3 Cartesian and Polar Coordinates/
  9.    wt: 86:   Step 4 Gaussian Elimination/
  10.    wt: 85:   12 Comparison of Unsigned and Signed Numbers/
  11.    wt: 84:   9 Combinatorics Trees Tables and Products/
  12.    wt: 80:   6 More Less Greater Than Inequalities and Comparison/
  13.    wt: 80:   4 Remainder Arithmetic and Divisibility/
  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:   7 Arithmetic and Fractions with Units/
  18.    wt: 77:   1 Maps Plans Measurement/
  19.    wt: 77:   10 LCM GCD and Euclid GCD Algorithm/
  20.    wt: 76:   38 Lessons on Calculating Derivatives/
  21.    wt: 73:   Progressive Observable Motivated Mathematics Education/
  22.    wt: 73:   5 What is Similarity/
  23.    wt: 73:   8 Arithmetic with Signed Numbers/
  24.    wt: 73:   13 Lessons on Limits and Continuity/
  25.    wt: 70:   7 Complex Numbers/
  26.    wt: 70:   A Origins of Counting and Figuring Methods/
  27.    wt: 69:   4 Computation Rules and Function Notation/
  28.    wt: 68:   11 Squares and Square Roots/
  29.    wt: 68:   4 Lessons on Using Derivatives/
  30.    wt: 67:   7 Axioms Logic and Equivalent Equations/
  31.    wt: 67:   2 Arithmetic with Decimals/
  32.    wt: 66:   9 Proportionality Backwards and Forwards/
  33.    wt: 64:   B Real Numbers Extrinsic Development/
  34.    wt: 64:   3 Prime Factorization Skills/
  35.    wt: 63:   2 Natural Logarithms Exponentials Powers Roots/
  36.    wt: 63:   13 Vectors/
  37.    wt: 63:   6 Fractions and Ratios/
  38.    wt: 62:   1 Decimal Place Value/
  39.    wt: 62:   5 Lessons on Integration/
  40.    wt: 58:   LAMP Lean Applied Mathematics Program/
  41.    wt: 58:   2 Formula Forward Use Evaluation/
  42.    wt: 57:   PreSchool and Primary Mathematics or Quantitative Skills/
  43.    wt: 55:   5 Factored Polynomial Sign Analysis Examples/
  44.    wt: 54:   3 Solving Linear Equations/
  45.    wt: 51:   5 Integers/
  46.    wt: 51:   Time Date Matters/
  47.    wt: 50:   10 Examples of Algebraic Reasoning/
  48.    wt: 50:   Mathematics 506 Lessons/
  49.    wt: 50:   Secondary Mathematics A Practical Approach/
  50.    wt: 48:   Geometry maps plans trigonometry vectors/
  51.    wt: 48:   8 Unifying Theme For Algebra/
  52.    wt: 48:   Volume 3 Why Slopes A Calculus Intro Etc/
  53.    wt: 47:   Mathematics Education Essays/
  54.    wt: 47:   1 Working With Sets/
  55.    wt: 46:   Volume 1A Regles et modeles/
  56.    wt: 46:   Advanced Calculus Volume 3 Appendices/
  57.    wt: 46:   Volume 1B Mathematics Curriculum Notes/
  58.    wt: 45:   1 Five Polynomial Operations/
  59.    wt: 45:   Mathematics Skill Development Framework/
  60.    wt: 43:   3 Quadratics Geometrically/
  61.    wt: 42:   5 Real Numbers/
  62.    wt: 38:   Direct Current Electric Circuits/
  63.    wt: 38:   Volume 1A Pattern Based Reason/
  64.    wt: 36:   Arithmetic and Number Theory Skills/
  65.    wt: 36:   Resources and Reciprocal Links/
  66.    wt: 33:   70 Calculus Starter Lessons/
  67.    wt: 33:   Volume 1 Elements of Reason/
  68.    wt: 32:   Mathematics Skills Year by Year/
  69.    wt: 28:   4 Functions/
  70.    wt: 28:   Skills with take home value/
  71.    wt: 25:   Work and Study Tips/
  72.    wt: 23:   Algebra Starter Lessons/
  73.    wt: 21:   Quebec Material/
  74.    wt: 19:   Parent Center/
  75.    wt: 14:   Archives/
  76.    wt: 14:   francais/
  77.    wt: 13:   Volume 2 Three Skills For Algebra/
  78.    wt: 12:   More Algebra/
  79.    wt: 115:   B Decimal Comparing and Subtracting Methods/
  80.    wt: 109:   A Decimal Counting and Adding Methods/
  81.    wt: 104:   C Decimal Multiplication Methods/
  82.    wt: 103:   2 Euclidean Geometry Constructions Theory extras/
  83.    wt: 103:   D Decimal Long Division Methods/
  84.    wt: 100:   10 Intersecting Straight Lines and Transversals/
  85.    wt: 100:   9 Lines and Slopes Take 2 with tangent function/
  86.    wt: 100:   Step 3 Easy systems in 2 or more unknowns/

Web Page Search

1146 matches:

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

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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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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