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

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

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

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

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

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

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

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  1.    wt: 9:   3 Cartesian and Polar Coordinates/
  2.    wt: 9:   Step 4 Gaussian Elimination/
  3.    wt: 9:   Step 3 Easy systems in 2 or more unknowns/
  4.    wt: 8:   LAMP Lean Applied Mathematics Program/
  5.    wt: 8:   11 Parallel Straight Lines and Transversals/
  6.    wt: 8:   9 Proportionality Backwards and Forwards/
  7.    wt: 8:   6 More Less Greater Than Inequalities and Comparison/
  8.    wt: 8:   Step 2 Algebraic solutions for one unknown/
  9.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  10.    wt: 8:   A Decimal Counting and Adding Methods/
  11.    wt: 8:   Volume 3 Why Slopes A Calculus Intro Etc/
  12.    wt: 8:   Secondary Mathematics A Practical Approach/
  13.    wt: 7:   5 Factored Polynomial Sign Analysis Examples/
  14.    wt: 7:   3 Quadratics Geometrically/
  15.    wt: 7:   14 Degrees to Radians and Radians to Degrees/
  16.    wt: 7:   10 Examples of Algebraic Reasoning/
  17.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  18.    wt: 7:   4 Computation Rules and Function Notation/
  19.    wt: 7:   2 Formula Forward Use Evaluation/
  20.    wt: 7:   C Decimal Multiplication Methods/
  21.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
  22.    wt: 6:   Progressive Observable Motivated Mathematics Education/
  23.    wt: 6:   2 Natural Logarithms Exponentials Powers Roots/
  24.    wt: 6:   12 Function Translating and Rescaling/
  25.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 6:   3 Solving Linear Equations/
  28.    wt: 6:   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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1079 matches:

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

Extended Search

1138 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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