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

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

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

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

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

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

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

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  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: 8:   LAMP Lean Applied Mathematics Program/
  5.    wt: 8:   11 Parallel Straight Lines and Transversals/
  6.    wt: 8:   9 Proportionality Backwards and Forwards/
  7.    wt: 8:   6 More Less Greater Than Inequalities and Comparison/
  8.    wt: 8:   Step 2 Algebraic solutions for one unknown/
  9.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  10.    wt: 8:   A Decimal Counting and Adding Methods/
  11.    wt: 8:   Volume 3 Why Slopes A Calculus Intro Etc/
  12.    wt: 8:   Secondary Mathematics A Practical Approach/
  13.    wt: 7:   5 Factored Polynomial Sign Analysis Examples/
  14.    wt: 7:   3 Quadratics Geometrically/
  15.    wt: 7:   2 Natural Logarithms Exponentials Powers Roots/
  16.    wt: 7:   14 Degrees to Radians and Radians to Degrees/
  17.    wt: 7:   10 Examples of Algebraic Reasoning/
  18.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  19.    wt: 7:   4 Computation Rules and Function Notation/
  20.    wt: 7:   2 Formula Forward Use Evaluation/
  21.    wt: 7:   C Decimal Multiplication Methods/
  22.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
  23.    wt: 6:   Progressive Observable Motivated Mathematics Education/
  24.    wt: 6:   12 Function Translating and Rescaling/
  25.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 6:   3 Solving Linear Equations/
  28.    wt: 6:   3 Prime Factorization Skills/
  29.    wt: 6:   38 Lessons on Calculating Derivatives/
  30.    wt: 6:   PreSchool and Primary Mathematics or Quantitative Skills/
  31.    wt: 5:   Mathematics Education Essays/
  32.    wt: 5:   4 Lines and Slopes Take 1/
  33.    wt: 5:   1 Maps Plans Measurement/
  34.    wt: 5:   A Origins of Counting and Figuring Methods/
  35.    wt: 5:   8 Unifying Theme For Algebra/
  36.    wt: 5:   11 Squares and Square Roots/
  37.    wt: 5:   9 Combinatorics Trees Tables and Products/
  38.    wt: 5:   7 Arithmetic and Fractions with Units/
  39.    wt: 5:   6 Fractions and Ratios/
  40.    wt: 5:   4 Remainder Arithmetic and Divisibility/
  41.    wt: 5:   D Decimal Long Division Methods/
  42.    wt: 5:   1 Decimal Place Value/
  43.    wt: 5:   Advanced Calculus Volume 3 Appendices/
  44.    wt: 5:   Volume 1A Pattern Based Reason/
  45.    wt: 4:   Mathematics Skills Year by Year/
  46.    wt: 4:   1 Five Polynomial Operations/
  47.    wt: 4:   13 Vectors/
  48.    wt: 4:   5 What is Similarity/
  49.    wt: 4:   2 Euclidean Geometry Constructions Theory extras/
  50.    wt: 4:   B Real Numbers Extrinsic Development/
  51.    wt: 4:   5 Real Numbers/
  52.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  53.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  54.    wt: 4:   2 Arithmetic with Decimals/
  55.    wt: 4:   Time Date Matters/
  56.    wt: 4:   4 Lessons on Using Derivatives/
  57.    wt: 4:   13 Lessons on Limits and Continuity/
  58.    wt: 4:   Mathematics 506 Lessons/
  59.    wt: 4:   Mathematics Skill Development Framework/
  60.    wt: 3:   Volume 1A Regles et modeles/
  61.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  62.    wt: 3:   1 Working With Sets/
  63.    wt: 3:   Algebra Starter Lessons/
  64.    wt: 3:   8 Arithmetic with Signed Numbers/
  65.    wt: 3:   5 Lessons on Integration/
  66.    wt: 2:   francais/
  67.    wt: 2:   4 Functions/
  68.    wt: 2:   More Algebra/
  69.    wt: 2:   8 Unit Circle Trigonometry/
  70.    wt: 2:   7 Complex Numbers/
  71.    wt: 2:   6 Trigonometry first steps/
  72.    wt: 2:   Geometry maps plans trigonometry vectors/
  73.    wt: 2:   5 Integers/
  74.    wt: 2:   Arithmetic and Number Theory Skills/
  75.    wt: 2:   Skills with take home value/
  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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1083 matches:

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

Extended Search

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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