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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:   4 Lines and Slopes Take 1/
  33.    wt: 5:   1 Maps Plans Measurement/
  34.    wt: 5:   A Origins of Counting and Figuring Methods/
  35.    wt: 5:   8 Unifying Theme For Algebra/
  36.    wt: 5:   11 Squares and Square Roots/
  37.    wt: 5:   9 Combinatorics Trees Tables and Products/
  38.    wt: 5:   7 Arithmetic and Fractions with Units/
  39.    wt: 5:   6 Fractions and Ratios/
  40.    wt: 5:   4 Remainder Arithmetic and Divisibility/
  41.    wt: 5:   D Decimal Long Division Methods/
  42.    wt: 5:   1 Decimal Place Value/
  43.    wt: 5:   Advanced Calculus Volume 3 Appendices/
  44.    wt: 5:   Volume 1A Pattern Based Reason/
  45.    wt: 4:   Mathematics Skills Year by Year/
  46.    wt: 4:   1 Five Polynomial Operations/
  47.    wt: 4:   13 Vectors/
  48.    wt: 4:   5 What is Similarity/
  49.    wt: 4:   2 Euclidean Geometry Constructions Theory extras/
  50.    wt: 4:   B Real Numbers Extrinsic Development/
  51.    wt: 4:   5 Real Numbers/
  52.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  53.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  54.    wt: 4:   2 Arithmetic with Decimals/
  55.    wt: 4:   Time Date Matters/
  56.    wt: 4:   4 Lessons on Using Derivatives/
  57.    wt: 4:   13 Lessons on Limits and Continuity/
  58.    wt: 4:   Mathematics 506 Lessons/
  59.    wt: 4:   Mathematics Skill Development Framework/
  60.    wt: 3:   Volume 1A Regles et modeles/
  61.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  62.    wt: 3:   1 Working With Sets/
  63.    wt: 3:   Algebra Starter Lessons/
  64.    wt: 3:   8 Arithmetic with Signed Numbers/
  65.    wt: 3:   5 Lessons on Integration/
  66.    wt: 2:   francais/
  67.    wt: 2:   4 Functions/
  68.    wt: 2:   More Algebra/
  69.    wt: 2:   8 Unit Circle Trigonometry/
  70.    wt: 2:   7 Complex Numbers/
  71.    wt: 2:   6 Trigonometry first steps/
  72.    wt: 2:   Geometry maps plans trigonometry vectors/
  73.    wt: 2:   5 Integers/
  74.    wt: 2:   Arithmetic and Number Theory Skills/
  75.    wt: 2:   Skills with take home value/
  76.    wt: 2:   70 Calculus Starter Lessons/
  77.    wt: 2:   Volume 2 Three Skills For Algebra/
  78.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  79.    wt: 2:   Resources and Reciprocal Links/
  80.    wt: 2:   Quebec Material/
  81.    wt: 1:   Archives/
  82.    wt: 1:   Parent Center/
  83.    wt: 1:   Volume 1 Elements of Reason/
  84.    wt: 1:   Work and Study Tips/
  85.    wt: 10:   Step 1 Stick diagram and fractions/

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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