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

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

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

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

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

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

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1080 matches:

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

Extended Search

1138 matches:

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

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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