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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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