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