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

Extended Search

1138 matches:

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