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:   6 More Less Greater Than Inequalities and Comparison/
  2.    wt: 9:   Step 1 Stick diagram and fractions/
  3.    wt: 8:   5 Factored Polynomial Sign Analysis Examples/
  4.    wt: 8:   11 Parallel Straight Lines and Transversals/
  5.    wt: 8:   9 Proportionality Backwards and Forwards/
  6.    wt: 8:   Step 4 Gaussian Elimination/
  7.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  8.    wt: 8:   A Decimal Counting and Adding Methods/
  9.    wt: 8:   12 Webvideo Lessons on Area and Volume Calculation/
  10.    wt: 7:   14 Degrees to Radians and Radians to Degrees/
  11.    wt: 7:   3 Cartesian and Polar Coordinates/
  12.    wt: 7:   10 Examples of Algebraic Reasoning/
  13.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  14.    wt: 7:   Step 2 Algebraic solutions for one unknown/
  15.    wt: 7:   2 Formula Forward Use Evaluation/
  16.    wt: 7:   Secondary Mathematics A Practical Approach/
  17.    wt: 6:   LAMP Lean Applied Mathematics Program/
  18.    wt: 6:   2 Natural Logarithms Exponentials Powers Roots/
  19.    wt: 6:   12 Function Translating and Rescaling/
  20.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  21.    wt: 6:   4 Computation Rules and Function Notation/
  22.    wt: 6:   Step 3 Easy systems in 2 or more unknowns/
  23.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  24.    wt: 6:   D Decimal Long Division Methods/
  25.    wt: 6:   C Decimal Multiplication Methods/
  26.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  27.    wt: 6:   Volume 1A Pattern Based Reason/
  28.    wt: 5:   Progressive Observable Motivated Mathematics Education/
  29.    wt: 5:   Volume 1A Regles et modeles/
  30.    wt: 5:   3 Quadratics Geometrically/
  31.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  32.    wt: 5:   5 What is Similarity/
  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:   3 Solving Linear Equations/
  37.    wt: 5:   12 Comparison of Unsigned and Signed Numbers/
  38.    wt: 5:   11 Squares and Square Roots/
  39.    wt: 5:   9 Combinatorics Trees Tables and Products/
  40.    wt: 5:   7 Arithmetic and Fractions with Units/
  41.    wt: 5:   6 Fractions and Ratios/
  42.    wt: 5:   1 Decimal Place Value/
  43.    wt: 5:   38 Lessons on Calculating Derivatives/
  44.    wt: 5:   Advanced Calculus Volume 3 Appendices/
  45.    wt: 5:   PreSchool and Primary Mathematics or Quantitative Skills/
  46.    wt: 4:   Mathematics Education Essays/
  47.    wt: 4:   1 Five Polynomial Operations/
  48.    wt: 4:   4 Lines and Slopes Take 1/
  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:   10 LCM GCD and Euclid GCD Algorithm/
  53.    wt: 4:   3 Prime Factorization Skills/
  54.    wt: 4:   2 Arithmetic with Decimals/
  55.    wt: 4:   Time Date Matters/
  56.    wt: 3:   francais/
  57.    wt: 3:   Mathematics Skills Year by Year/
  58.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  59.    wt: 3:   1 Working With Sets/
  60.    wt: 3:   Algebra Starter Lessons/
  61.    wt: 3:   8 Arithmetic with Signed Numbers/
  62.    wt: 3:   5 Lessons on Integration/
  63.    wt: 3:   4 Lessons on Using Derivatives/
  64.    wt: 3:   13 Lessons on Limits and Continuity/
  65.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  66.    wt: 3:   Volume 2 Three Skills For Algebra/
  67.    wt: 3:   Mathematics 506 Lessons/
  68.    wt: 2:   4 Functions/
  69.    wt: 2:   More Algebra/
  70.    wt: 2:   13 Vectors/
  71.    wt: 2:   8 Unit Circle Trigonometry/
  72.    wt: 2:   7 Complex Numbers/
  73.    wt: 2:   6 Trigonometry first steps/
  74.    wt: 2:   Geometry maps plans trigonometry vectors/
  75.    wt: 2:   5 Integers/
  76.    wt: 2:   Arithmetic and Number Theory Skills/
  77.    wt: 2:   Skills with take home value/
  78.    wt: 2:   70 Calculus Starter Lessons/
  79.    wt: 2:   Volume 1 Elements of Reason/
  80.    wt: 2:   Resources and Reciprocal Links/
  81.    wt: 2:   Quebec Material/
  82.    wt: 2:   Mathematics Skill Development Framework/
  83.    wt: 1:   Archives/
  84.    wt: 1:   Parent Center/
  85.    wt: 1:   Work and Study Tips/

Web Page Search

1084 matches:

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

Extended Search

1139 matches:

  1.    wt: 9:   Appendix 2 primary school Arithmetic 01
  2.    wt: 9:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 9:   Skills Chapter 3 Algebra
  4.    wt: 9:   7 logic review and decimals an odd combination
  5.    wt: 9:   Applied Maths Program14092009 POMME variant
  6.    wt: 9:   chapitre 04 10 Etapes pour une meilleur raison
  7.    wt: 9:   chapitre 03 A Propos Des Prochains Chapitre
  8.    wt: 9:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  9.    wt: 9:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  10.    wt: 9:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  11.    wt: 9:   A Quadratics Summary
  12.    wt: 9:   9 quadratics physical and further context
  13.    wt: 9:   7 quadratic formulla derivation
  14.    wt: 9:   2 quadratics graphing in general
  15.    wt: 9:   1 quadratics graphing exercises
  16.    wt: 9:   10 Exponential Growth and Decay Models
  17.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  18.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
  19.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
  20.    wt: 9:   2 Square Root Simplification a prequel
  21.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
  22.    wt: 9:   4 graphing y=Asin(x c)
  23.    wt: 9:   1 graphing y=f(x a)
  24.    wt: 9:   Analytic View of Triangle Construction or Line Instersection More
  25.    wt: 9:   Straight Lines ASA Intersection Study More
  26.    wt: 9:   Straight Lines ASA Intersection Study
  27.    wt: 9:   14 Straight Lines Equations General Case
  28.    wt: 9:   7 Tangent Function is odd on this domain
  29.    wt: 9:   6 Tangent Function Inclination Angle Take 2
  30.    wt: 9:   10 Similarity of Triangles Equivalent of Two Criteria
  31.    wt: 9:   9 Similarity of Triangles Usual Criteria
  32.    wt: 9:   5 Similarity of Circles Squares and Rectangles
  33.    wt: 9:   11 Triangle Inequality
  34.    wt: 9:   PS F Scalar Multiplication Distributes over Addition
  35.    wt: 9:   A Modular and Remainder Arithmetic
  36.    wt: 9:   25 Mid way Convergence to Axiomatic Approach
  37.    wt: 9:   6 Compound Interest Forward and Backwards
  38.    wt: 9:   1 Equivalent Computation Rules
  39.    wt: 9:   3 Geometric Formulas and Function Notation
  40.    wt: 9:   2 Computation Rules Evaluation
  41.    wt: 9:   1 Formulas Dependence and Function Notation
  42.    wt: 9:   1 GE Substitution four examples
  43.    wt: 9:   3 Solving triangular system example
  44.    wt: 9:   5 Algebraic Solutions Introduction
  45.    wt: 9:   1 Proper Equal Sign Usage
  46.    wt: 9:   13 Naming Identifying Formulas with Words
  47.    wt: 9:   10 Volume of Pyramid
  48.    wt: 9:   1 Written work formats for developing and showing skill
  49.    wt: 9:   1 More and Less Than for Counts and Measures
  50.    wt: 9:   1 Squares and Square Roots Introduction
  51.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  52.    wt: 9:   17 Efficient Ways to Add and Subtract
  53.    wt: 9:   15 Adding and Subtracting with Unlike Denominators
  54.    wt: 9:   14 Adding and Subtracting with Like Denominators
  55.    wt: 9:   11 Simplification an Algebraic View
  56.    wt: 9:   10 Simplification of Fractions and Mixed Numerals
  57.    wt: 9:   1 What is a fraction
  58.    wt: 9:   27 Divisibility by 2 3 6 5 9 10 Example
  59.    wt: 9:   26 Divisibility by 2 3 5 Example
  60.    wt: 9:   25 Divisibility Tests for 2 3 5 9 10 Example
  61.    wt: 9:   23 Remainder Arithmetic Modulo 2
  62.    wt: 9:   22 Remainder Arithmetic Modulo 3 more
  63.    wt: 9:   21 Remainder Arithmetic Modulo 3
  64.    wt: 9:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  65.    wt: 9:   19 Remainder Arithmetic Rule of 9 for checking sums III
  66.    wt: 9:   18 Remainder Arithmetic Rule of 9 for checking sums II
  67.    wt: 9:   17 Remainder Arithmetic Rule of 9 for checking sums I
  68.    wt: 9:   6 Remainder Arithmetic Modulo 5 Propertie
  69.    wt: 9:   5 Remainder Arithmetic Modulo 5
  70.    wt: 9:   3 Remainder Arithmetic Modulos 10 more still
  71.    wt: 9:   2 Remainder Arithmetic Modulo 10 more
  72.    wt: 9:   1 Remainder Arithmetic Modulo 10
  73.    wt: 9:   5 Prime Factorization and a Square Rule
  74.    wt: 9:   Division with Counts and Length
  75.    wt: 9:   11 Another Single Digit Divisor Example
  76.    wt: 9:   10 Division by Five Long and Short Ways
  77.    wt: 9:   6 Why Decimal Long Division Methods Works Take I
  78.    wt: 9:   3 Division Single Digit Divisor Example
  79.    wt: 9:   5 Decimal Fraction Multiplication
  80.    wt: 9:   9 22 Minute Subtraction Review Video
  81.    wt: 9:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  82.    wt: 9:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  83.    wt: 9:   5 More on Groups of 3 Place Value in Decimal Fractions
  84.    wt: 9:   4 Groups of 3 Place Value in Decimal Fractions
  85.    wt: 9:   9 Comparison and Subtraction of Time Intervals
  86.    wt: 9:   Summary
  87.    wt: 9:   38 Formulas and derivatives for powers and roots
  88.    wt: 9:   33 Chain Rule Real Player video examples
  89.    wt: 9:   28 Chain Rule Preparation for a Proof
  90.    wt: 9:   25 Chain Rule Animated Examples Continued
  91.    wt: 9:   24 Chain Rule Animated Examples
  92.    wt: 9:   7 Animated Differentiation Examples
  93.    wt: 9:   PostScript For and Against Decimal Perspectives
  94.    wt: 9:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  95.    wt: 9:   Chapter 19. Exponentials and Natural Logarithms
  96.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  97.    wt: 9:   Chapter 3 Algebra Difficulties
  98.    wt: 9:   Chapter 24 Direct and Indirect Reason
  99.    wt: 9:   Chapter 20 Shorthand Symbols as Pronouns
  100.    wt: 9:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  101.    wt: 9:   Chapter 7 Longer Chains of Reason
  102.    wt: 9:   Chapter 6 Chains of Reason
  103.    wt: 9:   Chapter 8 Skipped Topics and Why
  104.    wt: 9:   Chapter 1 Arithmetic
  105.    wt: 9:   6 Measuring via counting or arithmetic the role of fractions
  106.    wt: 9:   4 Money Matters Saving Earning Buying Selling and Budgets
  107.    wt: 9:   3 Telling Tracking Time Temporal and More Place Sense
  108.    wt: 8:   K LAMP Musings Science Education
  109.    wt: 8:   I LAMP Introduction Study Habits
  110.    wt: 8:   H LAMP Introduction Instructional Concepts
  111.    wt: 8:   F LAMP Introduction Prerequisites
  112.    wt: 8:   E LAMP Introduction Modern Mathematics
  113.    wt: 8:   Skills Chapter 5 Calculus
  114.    wt: 8:   Skills Chapter 1 Arithmetic
  115.    wt: 8:   5 logarithms and exponentials etc
  116.    wt: 8:   talk the algebra talk
  117.    wt: 8:   teaching tutoring algebraic reason
  118.    wt: 8:   standards for course material
  119.    wt: 8:   education an empirical art
  120.    wt: 8:   chapitre 07 01 principle D induction mathematique
  121.    wt: 8:   chapitre 04 04 Parlons de la logique
  122.    wt: 8:   chapitre 02 00 La Communication des idees
  123.    wt: 8:   10 quadratic exercises
  124.    wt: 8:   5 quadratics completing the square
  125.    wt: 8:   4 quadratics difference of two squares
  126.    wt: 8:   3 quadratics factoring by inspection
  127.    wt: 8:   11 Growth and Decay in Biology
  128.    wt: 8:   5 Polynomials Long division Nonlinear divisor
  129.    wt: 8:   4 Polynomials Long division linear divisor
  130.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  131.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  132.    wt: 8:   3 graphing y=f(x c) plus K
  133.    wt: 8:   Straight Lines Instersection Solving Equations
  134.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  135.    wt: 8:   A Straight Line Slope Scaling Properties
  136.    wt: 8:   8 Straight Lines Equation for vertical
  137.    wt: 8:   2 Straight Lines Slopes As Rise Over Run
  138.    wt: 8:   29 secant cosecant and cotangent for acute angles
  139.    wt: 8:   11 Triangle Similarity Missing Side Problem
  140.    wt: 8:   8 Similarity of Triangles and Polygons
  141.    wt: 8:   6 Geometric Diagrams in Class
  142.    wt: 8:   1 Early Concept of Like or Similar Shapes
  143.    wt: 8:   11 A Partial Summary
  144.    wt: 8:   What is and is not here
  145.    wt: 8:   7 Complex Numbers Appetizer
  146.    wt: 8:   PS D Addition with Cartesian Coordinates
  147.    wt: 8:   6 Ruler and compass Angle Bisection
  148.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  149.    wt: 8:   2 Measuring Area Directly
  150.    wt: 8:   26 More Less Greater Than Comparison
  151.    wt: 8:   14 Vector Head to Tail Sums and Resultants
  152.    wt: 8:   13 Arrows and Vectors in a Plane
  153.    wt: 8:   8 Division and Mulplication of Compound Fractions
  154.    wt: 8:   A Decimal Addition Columm Methods
  155.    wt: 8:   7 Decimals Multiplication Methods Examples
  156.    wt: 8:   7 Pythagorean Theorem Chinese Square Proof
  157.    wt: 8:   3 Linear Equation Literal Solution More
  158.    wt: 8:   2 Linear Equation Literal Solution
  159.    wt: 8:   1 Changing Calculations
  160.    wt: 8:   3 Product Axioms Two Forms
  161.    wt: 8:   8 Coordinates for Maps and Planes
  162.    wt: 8:   2 Essentially one exercises three with solution
  163.    wt: 8:   3 Four Examples
  164.    wt: 8:   2 Three Examples
  165.    wt: 8:   Formula Usage Show Work Format
  166.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
  167.    wt: 8:   11 Volume of Sphere
  168.    wt: 8:   9 Volume of Cone
  169.    wt: 8:   7 Compound Interest Formula Introduction
  170.    wt: 8:   4 Greater More Less Than Signs in General
  171.    wt: 8:   3 Comparison of Negative Numbers
  172.    wt: 8:   3 Properties of Square Roots with example
  173.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  174.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  175.    wt: 8:   7 GCD and LCM from prime factorization
  176.    wt: 8:   2 Least Common Multiple LCM intro via list method
  177.    wt: 8:   5 Counting with Tables Trees Product Rule Take II
  178.    wt: 8:   3 Counting with Tables and Trees II
  179.    wt: 8:   2 Counting with Tables and Trees I
  180.    wt: 8:   1 Addition and Subtraction with Units
  181.    wt: 8:   B Fractions and Two Term Ratios
  182.    wt: 8:   21 Reciprocals for Fractions and Wholes
  183.    wt: 8:   12 Fraction Comparison
  184.    wt: 8:   3 Unit fraction of a fraction
  185.    wt: 8:   24 Divisibility Tests for 2 3 5 9 10
  186.    wt: 8:   18 video Count Factors given Prime Factorization
  187.    wt: 8:   15 video Factors of 20 using Prime Factorization
  188.    wt: 8:   10 video Prime Factorization upto 23 squared
  189.    wt: 8:   9 video Prime Factorization upto 19 squared
  190.    wt: 8:   1 video how Products are bigger than factor
  191.    wt: 8:   12 Why Long Division Works Take III
  192.    wt: 8:   9 Why Long Division Works Take II
  193.    wt: 8:   8 Correcting the Mistake
  194.    wt: 8:   2 Division with Single Digit Divisors
  195.    wt: 8:   1 Divsion Physical Examples
  196.    wt: 8:   D Decimal Multiplication Methods Derived
  197.    wt: 8:   C Counting Areas with Powers of Ten
  198.    wt: 8:   6 Multiplication Commutes Order Not Important
  199.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  200.    wt: 8:   2 Groups of Three Place Value for Multidigit Decimals
  201.    wt: 8:   016 Numbering Occidental Calendar Days
  202.    wt: 8:   8 Addition of Time Intervals via subtotaling
  203.    wt: 8:   A Related Material in Volume 3
  204.    wt: 8:   36 Cube root derivative animated
  205.    wt: 8:   29 Chain Rule Optional Reading
  206.    wt: 8:   16 Derivatives of reciprocals of sine and cosine
  207.    wt: 8:   13 Limits with Parameters and Derivatives Take II
  208.    wt: 8:   12 Limits with Parameters and Derivatives Take I
  209.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  210.    wt: 8:   G.1 First Fundamental Theorem of Calculus
  211.    wt: 8:   G.2 Differentiable Functions Mean Value Theorem
  212.    wt: 8:   Chapter 17. Area Approximation
  213.    wt: 8:   Chapter 15. Algebraic Evaluation of Limits
  214.    wt: 8:   Chapter 14 Limits and Continuity with and sans Decimals
  215.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  216.    wt: 8:   Chapter 25. Mathematical Induction Examples
  217.    wt: 8:   Chapter 10 Describing and Changing Calculations
  218.    wt: 8:   Chapter 5 Islands and Divisions of Knowledge
  219.    wt: 8:   Postscript B Mathematics Education References
  220.    wt: 8:   Postscript A Three Remarks
  221.    wt: 8:   Chapter 12 Four Phases
  222.    wt: 8:   Chapter 11 Elementary Instruction
  223.    wt: 8:   Chapter 10 Transition
  224.    wt: 8:   Chapter 7 Two Treatments of Geometry
  225.    wt: 8:   Chapter 4 Complex Numbers and Why Slopes
  226.    wt: 8:   Postscript B More on Story Telling and Reason
  227.    wt: 8:   Chapter 23 Truth Tables
  228.    wt: 8:   Chapter 21 Occurrence Tables
  229.    wt: 8:   Chapter 18 Sense and Knowledge
  230.    wt: 8:   Chapter 2 Why Sets
  231.    wt: 8:   7 Games and Activities for Instruction
  232.    wt: 8:   1 From Number Recognition and Counting to Arithmetic A
  233.    wt: 8:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  234.    wt: 8:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  235.    wt: 7:   J LAMP Introduction Extrinsic Origins
  236.    wt: 7:   G LAMP Introduction Problem Solving Skills
  237.    wt: 7:   A Introduction Objectives
  238.    wt: 7:   Skills Chapter 4 Logic
  239.    wt: 7:   Ramblings Extrinsic numbers theory
  240.    wt: 7:   Skills Chapter 2 Geometry
  241.    wt: 7:   Skills Chapter 0 Introduction
  242.    wt: 7:   10 statistics
  243.    wt: 7:   9 combinatorics probability sets
  244.    wt: 7:   8 analytic geometry etc
  245.    wt: 7:   4 algebra
  246.    wt: 7:   3 Euclidean Geometry Leanly
  247.    wt: 7:   What is POMME
  248.    wt: 7:   Teach the teachers plus goals
  249.    wt: 7:   Math Ed if it must be short make it lean effective
  250.    wt: 7:   what should be learnt and When
  251.    wt: 7:   five decades make a difference
  252.    wt: 7:   Maps Plans Drawings
  253.    wt: 7:   geometric implications for algebra
  254.    wt: 7:   three goals for Mathematics Education
  255.    wt: 7:   Operational Viewpoint to Value
  256.    wt: 7:   Education in mathematics science and technology
  257.    wt: 7:   need for a mixed mathematics curriculum
  258.    wt: 7:   Leaner mathematics curriculum
  259.    wt: 7:   chapitre 12 00 les iles et division
  260.    wt: 7:   chapitre 04 09 Regles accidentelles
  261.    wt: 7:   chapitre 04 08 Limitations et benefices
  262.    wt: 7:   chapitre 04 07 RepetablesEtReproductibles
  263.    wt: 7:   chapitre 04 06 engagements
  264.    wt: 7:   chapitre 04 05 Implication versus suggestion
  265.    wt: 7:   chapitre 04 00 Les regles d implication
  266.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
  267.    wt: 7:   17 Function maxima minima and their location
  268.    wt: 7:   Quadratics in 10 steps
  269.    wt: 7:   3 Polynomials Multiplication Addition
  270.    wt: 7:   1 Polynomials Distributive Law
  271.    wt: 7:   16 cotangent function Definition Graph and Inverse
  272.    wt: 7:   15 cosecant function Definition Graph and Inverse
  273.    wt: 7:   11 arctan left inverse of tangent Graph
  274.    wt: 7:   5 Swapping Coordinates is a reflection
  275.    wt: 7:   A Global Time and Navigation
  276.    wt: 7:   Straight Lines Intersection of
  277.    wt: 7:   C Straight Lines Slope from Coordinates
  278.    wt: 7:   B Straight Line Slope Scaling Properties More
  279.    wt: 7:   13 Straight Lines Finding Equations from 2 points
  280.    wt: 7:   12 Straight Lines Graphing mx plus b
  281.    wt: 7:   11 Straight Lines Graphing y=mx
  282.    wt: 7:   10 Straight Lines through Origin Equations More
  283.    wt: 7:   9 Straight Lines through Origin Equations
  284.    wt: 7:   5 Tangent Function Graph
  285.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  286.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  287.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  288.    wt: 7:   18 sum of sinusoidal waves as a single wave
  289.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  290.    wt: 7:   12 Triangles Similarity More Problems
  291.    wt: 7:   4 Similarity Definition with Coordinate
  292.    wt: 7:   3 Similarity by Design with coordinates
  293.    wt: 7:   10 Midpoint of [a b] and [b a]
  294.    wt: 7:   7 Exercises to test skill and concept mastery
  295.    wt: 7:   1 Numerical view of lines and their equations
  296.    wt: 7:   PS G Rotation Distributes over Addition
  297.    wt: 7:   PS E Multiplication with Polar Coordinates
  298.    wt: 7:   PS B Parallelogram Construction Methods
  299.    wt: 7:   21 Parallelograms
  300.    wt: 7:   18 Triangle Similarity Take 1
  301.    wt: 7:   16 Angles Subtended By Chords and Diameters
  302.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  303.    wt: 7:   14 Parallel Lines Postulate
  304.    wt: 7:   13 Angle Side Angle Failure
  305.    wt: 7:   A Measurement with Ruler Proper Use
  306.    wt: 7:   6 Figuring with Maps Not to Scale
  307.    wt: 7:   23 Distributive Law Two Derivations
  308.    wt: 7:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  309.    wt: 7:   17 Arrows Rotate to Reverse with Length Unchanged
  310.    wt: 7:   16 Collinear Horizontal Arrows Vectors
  311.    wt: 7:   11 Signed Number Addition and Addition Properties
  312.    wt: 7:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  313.    wt: 7:   9 Division with Digits after Decimal Point
  314.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
  315.    wt: 7:   5 Fractions with Infinite Decimal Expansions
  316.    wt: 7:   4 Location of Point in Decimal Addition
  317.    wt: 7:   3 Location of Point in Decimal Multiplication
  318.    wt: 7:   1 Fractions with Finite Decimal Expansions
  319.    wt: 7:   C Three Decimal Subtraction Methods
  320.    wt: 7:   8 Column Multiplication Methods in General
  321.    wt: 7:   6 Column Methods for Decimal Multiplication
  322.    wt: 7:   5 Distributive Law for Whole Numbers
  323.    wt: 7:   4 Commutative Law Groups Counting Form
  324.    wt: 7:   2 Combing Counts Addition Skills and Principles
  325.    wt: 7:   16 Real Numbers Comparison
  326.    wt: 7:   12 Real Number Additive Inverses or Negatives
  327.    wt: 7:   7 Real Numbers as Line Cordinates
  328.    wt: 7:   1 Whole and Natural Numbers
  329.    wt: 7:   5 Independent versus Dependent Variables
  330.    wt: 7:   4 Changing Letters
  331.    wt: 7:   1 Essentially One Unknown
  332.    wt: 7:   Using Letters for Physical Quantities
  333.    wt: 7:   9 Sets in Probability and Statistics
  334.    wt: 7:   6 Three Notions of What is a Variable
  335.    wt: 7:   5 Talking about Numbers and Quantities
  336.    wt: 7:   4 A Brief Story of numbers and algebra
  337.    wt: 7:   2 What is a Variable
  338.    wt: 7:   2 More and Less Than with Unlike Signs
  339.    wt: 7:   5 Square Roots with primes more still
  340.    wt: 7:   4 Square Roots with primes more
  341.    wt: 7:   2 Square Roots with Prime
  342.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  343.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  344.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  345.    wt: 7:   13 GCD from given Prime Factorization
  346.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
  347.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  348.    wt: 7:   8 GCD from Euclidean Algorithm
  349.    wt: 7:   5 Common Divisors 60 45 via Prime
  350.    wt: 7:   4 LCM of 8 and 10 via Prime
  351.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
  352.    wt: 7:   1 Least Common Multiples LCM Introduction
  353.    wt: 7:   4 Counting with Trees Product Rule Take I
  354.    wt: 7:   1 Counting and Counting Methods I
  355.    wt: 7:   11 What are real lengths and numbers
  356.    wt: 7:   3 signed coordinates for maps and planes
  357.    wt: 7:   6 Simplification of Fractions with Units
  358.    wt: 7:   2 Equality and Units
  359.    wt: 7:   9 Improper Fractions and Mixed Numbers
  360.    wt: 7:   5 Equivalent Fractions
  361.    wt: 7:   4 Fraction Multiplication
  362.    wt: 7:   2 Unit Fraction Multiplication
  363.    wt: 7:   A Associative Law Theorectical Note
  364.    wt: 7:   19 video Prime Factorization Unique
  365.    wt: 7:   14 video Factors of 24 Take II
  366.    wt: 7:   8 video Prime Factorization upto 19
  367.    wt: 7:   6 Sieve of Eratosthenes and Square Rule
  368.    wt: 7:   4 video Prime Factorization Introduction
  369.    wt: 7:   3 video Primes and Composites from 9 times table
  370.    wt: 7:   5 Long Division Include Zeroes or not
  371.    wt: 7:   4 Division with 2 Digit Divsors
  372.    wt: 7:   4 Two and Three Digit Multipliers
  373.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  374.    wt: 7:   3 More on Groups of 3 Multi Digit Place Value
  375.    wt: 7:   1 Place Value in Three Digit Whole Numbers
  376.    wt: 7:   Practical Methods Ends and Values for Arithmetic
  377.    wt: 7:   015 School and work day counting tables
  378.    wt: 7:   014 Counting Days with Calendars
  379.    wt: 7:   012 Division of Time Intervals by Time Intervals
  380.    wt: 7:   010 Repeated Addition of Time Intervals
  381.    wt: 7:   2 Time and Date Matters in School
  382.    wt: 7:   4 Definite Integrals Evaluation Exercises
  383.    wt: 7:   34 Derivative of exponential function
  384.    wt: 7:   30Chain Rule A Proof
  385.    wt: 7:   27 Chain Rule sinusoidal outer inner functions EGS
  386.    wt: 7:   26 Chain Rule Recognising outer inner functions
  387.    wt: 7:   23 Chain Rule in general
  388.    wt: 7:   22 Chain Rule for polynomials
  389.    wt: 7:   19 Chain Rule for linear functions
  390.    wt: 7:   17 Derivatives of quotients of sine and cosine
  391.    wt: 7:   15 sine and cosine derivatives 3rd step
  392.    wt: 7:   14 sine and cosine derivatives 2nd step
  393.    wt: 7:   13 sine and cosine derivatives 1st step
  394.    wt: 7:   8 Differentiation of polynomials
  395.    wt: 7:   3 Motivation for Limit Definition Take 2
  396.    wt: 7:   2 Motivation for Limit Definition Take 1
  397.    wt: 7:   1 Fall 1983 Why Slopes Appetizer
  398.    wt: 7:   7 Evaluation by immediate or delayed substitution
  399.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  400.    wt: 7:   F.3 Intermediate Value Theorem
  401.    wt: 7:   F.1 What Functions are Continuous
  402.    wt: 7:   E2 Algebraic Properties of Limits
  403.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  404.    wt: 7:   C Triangle Inequalities
  405.    wt: 7:   B3 Bolzano Weierstrass Theorem
  406.    wt: 7:   Chapter 24 Logarithms Powers and Exponentials
  407.    wt: 7:   Chapter 18. Slopes Areas Integration
  408.    wt: 7:   Chapter 4. More Slope Sign Analysis
  409.    wt: 7:   Chapter 3. Slope Sign Analysis
  410.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  411.    wt: 7:   Chapter 26 What is in chapters 27 to 31
  412.    wt: 7:   Chapter 20. Degrees and Radians
  413.    wt: 7:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  414.    wt: 7:   Postscript What is a Variable
  415.    wt: 7:   Chapter 9 Talking about Numbers or Quantities
  416.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  417.    wt: 7:   Chapter 6 Change of Language
  418.    wt: 7:   Chapter 9 The Two Ends
  419.    wt: 7:   Chapter 8 Modern Instruction
  420.    wt: 7:   Chapter 5 Four References
  421.    wt: 7:   Chapter 1 Introduction
  422.    wt: 7:   Postscript D Reflections on Law of the Excluded Middle
  423.    wt: 7:   Postscript A Story Telling
  424.    wt: 7:   Chapter 15 Objective Processes
  425.    wt: 7:   Chapter 10 Responsibility
  426.    wt: 7:   Chapter 5 Deception
  427.    wt: 7:   Chapter 2 Skill Development
  428.    wt: 7:   Chapter 1 Introduction
  429.    wt: 7:   Three Remarks
  430.    wt: 7:   1 From Number Recognition and Counting to Arithmetic B
  431.    wt: 7:   More Algebra and Slope based Calculus Preview
  432.    wt: 7:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  433.    wt: 7:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  434.    wt: 7:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  435.    wt: 6:   11 pure mathematics
  436.    wt: 6:   6 polynomials etc
  437.    wt: 6:   2 arithmetic with signed numbers
  438.    wt: 6:   1 arithmetic with unsigned numbers
  439.    wt: 6:   permissions for teachers
  440.    wt: 6:   About site lesson plans
  441.    wt: 6:   key notes and themes
  442.    wt: 6:   Mathematics Education Professors
  443.    wt: 6:   teacher certification
  444.    wt: 6:   learning takes time
  445.    wt: 6:   grouping students according to ability
  446.    wt: 6:   Education Reform Inconsistencies
  447.    wt: 6:   how letters appear
  448.    wt: 6:   Secondary Three Mathematics
  449.    wt: 6:   Secondary Two Mathematics
  450.    wt: 6:   Secondary One Mathematics
  451.    wt: 6:   mathematics curriculum shifts
  452.    wt: 6:   Lessening Algebra Difficulties
  453.    wt: 6:   the trouble with algebra
  454.    wt: 6:   05 13 OldSiteEntrancePage
  455.    wt: 6:   04 29 New Mathematics Curriculum
  456.    wt: 6:   04 25 when to stop or suspend mathemat
  457.    wt: 6:   02 20 mathematics education references
  458.    wt: 6:   three aims for mathematics students
  459.    wt: 6:   formal or informal peer review
  460.    wt: 6:   mathematics instruction in general
  461.    wt: 6:   Different Kinds of Reasoning in maths
  462.    wt: 6:   three kinds of reason in mathematics
  463.    wt: 6:   Four ways to improve education reform
  464.    wt: 6:   Motivation and Context Problem
  465.    wt: 6:   Prequel In For A Penny In For A Pound
  466.    wt: 6:   fairness and inductive principles for instruction
  467.    wt: 6:   chapitre 05 00 Deception
  468.    wt: 6:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  469.    wt: 6:   chapitre 04 02 Deuxieme enigme
  470.    wt: 6:   chapitre 04 01 Premiere enigme
  471.    wt: 6:   chapitre 01 00 Introduction
  472.    wt: 6:   Trois Notions qui menent a algebre
  473.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  474.    wt: 6:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  475.    wt: 6:   Ages 12 to 14 Skills with take home value
  476.    wt: 6:   11 Function Domain Range Source and Targets
  477.    wt: 6:   6 Set Existence Formation and Notation
  478.    wt: 6:   14 secant function Definition Graph and Inverse
  479.    wt: 6:   13 cosecant function Definition Graph and Inverse
  480.    wt: 6:   12 motivation for term arctan
  481.    wt: 6:   10 arctan left inverse of tangent Definition
  482.    wt: 6:   9 motivation for name arcsin
  483.    wt: 6:   10 Parallelogram Addition Method
  484.    wt: 6:   5 Head To Tail Arrow Addition
  485.    wt: 6:   4 Tangent Function Properties
  486.    wt: 6:   1 Straight Lines Slope Concept
  487.    wt: 6:   31 basic secant cosecant cotangent trig identities
  488.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  489.    wt: 6:   21 sine and cosine Half Angle Formulas
  490.    wt: 6:   17D cis formulas for sine cosines and tangent
  491.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  492.    wt: 6:   16 Right Triangle Complementary Angle Relations
  493.    wt: 6:   14 cosine even and sine and tangent are odd
  494.    wt: 6:   12 cis formulas for sine cosines and tangent
  495.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  496.    wt: 6:   5 An Easy Proof of the Distributive Law
  497.    wt: 6:   1 Rectangular Polar Coordinates Review
  498.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  499.    wt: 6:   2 Similarity By Design
  500.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  501.    wt: 6:   5 Algebraic View of Slopes
  502.    wt: 6:   2 point slope equation for a line
  503.    wt: 6:   PS H Distributive Law For Complex Numbers
  504.    wt: 6:   19 Right Triangle Similarity
  505.    wt: 6:   17 Right Bisectors of Triangle Sides
  506.    wt: 6:   12 Side Angle Side Failure
  507.    wt: 6:   11 Triangle Construction Fails
  508.    wt: 6:   10 Dropping a perpendicular to line
  509.    wt: 6:   9 Construction of a right bisector
  510.    wt: 6:   8 Isoceles Triangles
  511.    wt: 6:   7 Angle Side Angle
  512.    wt: 6:   3 Isometry of Triangles Congruence
  513.    wt: 6:   1 Initial Concepts and Terms
  514.    wt: 6:   1 Length Measurement
  515.    wt: 6:   musings do not puiblish real numbers
  516.    wt: 6:   A Signed Number Arithmetic Review
  517.    wt: 6:   21 Addition of Multiples of a Single Vector
  518.    wt: 6:   18 Geometrically Why Vector Addition Commutes
  519.    wt: 6:   12 Real Numbers Line Signed Coordinates
  520.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  521.    wt: 6:   2 Counting Digits in Decimal Multiplication
  522.    wt: 6:   E Long Division Methods more
  523.    wt: 6:   D Long Division Methods
  524.    wt: 6:   3 Multiplicative Counting Skills Principles
  525.    wt: 6:   15 Real Number Division
  526.    wt: 6:   14 Real Number Multiplication
  527.    wt: 6:   13 Real Number Subtraction
  528.    wt: 6:   11 Real Number Addition
  529.    wt: 6:   10 Real Number Lengths and Signs
  530.    wt: 6:   9 Coordinates for Regions in Space
  531.    wt: 6:   5 Rational Numbers More
  532.    wt: 6:   4 Rational Numbers
  533.    wt: 6:   More Exercises
  534.    wt: 6:   Simple Exercises
  535.    wt: 6:   arithmetic videos Real Player Format
  536.    wt: 6:   12 GCD 2700 288 via Prime
  537.    wt: 6:   7 negative and additive inverse
  538.    wt: 6:   2 signed and unsigned numbers as coordinates
  539.    wt: 6:   7 Converting or Changing Units
  540.    wt: 6:   4 Fractions with Units
  541.    wt: 6:   3 Multiplying Units and Numbers
  542.    wt: 6:   D Three Term Ratios
  543.    wt: 6:   22 Complex Compound Fractions
  544.    wt: 6:   20 Dividing Fractions the Why
  545.    wt: 6:   19 Dividing Fractions How TO
  546.    wt: 6:   18 Efficient Ways to Multiply
  547.    wt: 6:   6 Multiplication of Mixed Numbers
  548.    wt: 6:   11 Adding Integers Formulas and Examples
  549.    wt: 6:   20 Uniqueness of Prime Factorization
  550.    wt: 6:   17 Identify and Count Factors using Primes
  551.    wt: 6:   16 video Factors of 980 using prime
  552.    wt: 6:   13 video Factors of 24 using prime
  553.    wt: 6:   2 Prime and Composites less than 16
  554.    wt: 6:   B Powers of Ten
  555.    wt: 6:   3 More One Digit Multipliers
  556.    wt: 6:   2 One Digit Multipliers
  557.    wt: 6:   1 Why 3 times 5 gives 15
  558.    wt: 6:   Quick history of numbers and algebra
  559.    wt: 6:   Exact Arithmetic Wholes and Fractions
  560.    wt: 6:   Formula Evaluation how to show work
  561.    wt: 6:   013 Travel Time Tables
  562.    wt: 6:   011 Division of Time Intervals By Numbers
  563.    wt: 6:   7 Addition of Time Intervals
  564.    wt: 6:   6 How long is a million seconds
  565.    wt: 6:   4 Mixing and Changing Units of Time
  566.    wt: 6:   5 Area Under Curve Exercise
  567.    wt: 6:   A Related lessons in Volume 3
  568.    wt: 6:   4 Second derivative test exercise example
  569.    wt: 6:   31 Derivatives of inverse functions
  570.    wt: 6:   21 Chain Rule for powers
  571.    wt: 6:   20 Chain Rule for Pulley Systems
  572.    wt: 6:   18 Chain Rule Introduction
  573.    wt: 6:   12 Quotient rule examples
  574.    wt: 6:   10 Power rule for negative integers
  575.    wt: 6:   9 Reciprocal rule
  576.    wt: 6:   8 Four Animated Examples
  577.    wt: 6:   2 Algebraic codification
  578.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  579.    wt: 6:   G.3 Constant Difference Theorem Proof
  580.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  581.    wt: 6:   F.5b Extreme Value Theorem
  582.    wt: 6:   F.5a Equicontinuity Theorems
  583.    wt: 6:   F.2 Closed Range Theorem
  584.    wt: 6:   E1 Error Control Inequalities
  585.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  586.    wt: 6:   A1. Introduction
  587.    wt: 6:   Postscript Pythagorean Theorem yet another proof
  588.    wt: 6:   Chapter 21 Arrow Addition
  589.    wt: 6:   Chapter 16. Velocity Approximation
  590.    wt: 6:   Chapter 15. Slope Approximation
  591.    wt: 6:   Chapter 13. Acceleration
  592.    wt: 6:   Chapter 9 About First Courses in Calculus
  593.    wt: 6:   Chapter 6. Slopes and Vertical Shifts
  594.    wt: 6:   Chapter 2. Slopes and Ski Trails
  595.    wt: 6:   Fall 1983 Calculus Appetizer
  596.    wt: 6:   Appendix E. How To Study Mathematics and Why
  597.    wt: 6:   Appendix D. What to do in School and Why
  598.    wt: 6:   Chapter 31 Direct and Indirect Reason
  599.    wt: 6:   Chapter 27 Shorthand Symbols as Pronouns
  600.    wt: 6:   Chapter 24. Personal Investment and Pension EGS
  601.    wt: 6:   Chapter 18. Rules for Algebra
  602.    wt: 6:   Chapter 15. Solving Linear Equations
  603.    wt: 6:   Postscript Unifying Theme A Fourth Skill For Algebra
  604.    wt: 6:   Chapter 12. Shorthand Usage Guide
  605.    wt: 6:   Chapter 8 Three Skills For Algebra
  606.    wt: 6:   Chapter 4 Longer Chains of Reason
  607.    wt: 6:   Chapter 3 Chains of Reason
  608.    wt: 6:   Foreword
  609.    wt: 6:   Foreword
  610.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  611.    wt: 6:   Systematic Algebra Skill Development Missing Links
  612.    wt: 5:   which way to go
  613.    wt: 5:   three goals to set for students
  614.    wt: 5:   activities for students
  615.    wt: 5:   links Education Resources online
  616.    wt: 5:   site eurekas
  617.    wt: 5:   modern education
  618.    wt: 5:   mathematics in context
  619.    wt: 5:   teaching tips
  620.    wt: 5:   What to Tell Students
  621.    wt: 5:   02 21 words for teachers
  622.    wt: 5:   cultivating intelligence
  623.    wt: 5:   How to be a better instructor
  624.    wt: 5:   words for mathematics instructor
  625.    wt: 5:   problemes algebre et arithmetique
  626.    wt: 5:   A Wire Resistance Qualitative01
  627.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  628.    wt: 5:   25 Mathematics Education Leaving A Good Impression
  629.    wt: 5:   13 Addition and Addition Tables
  630.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  631.    wt: 5:   5 Patience Please for Yourself and Your Charges
  632.    wt: 5:   Ages 12 to 14 Arithmetic
  633.    wt: 5:   Ages 10 to 12 Arithmetic
  634.    wt: 5:   22 Square Root function graphically
  635.    wt: 5:   20 Interchanging coordinates a reflection
  636.    wt: 5:   16 Increasing or decreasing on intervals
  637.    wt: 5:   15 Sign analysis of functions
  638.    wt: 5:   5 Function notation for geometric transformations
  639.    wt: 5:   4 Function notation in and beyond mathematics
  640.    wt: 5:   3 Formula or function graphing exercise
  641.    wt: 5:   2 Algebraic use of function notation
  642.    wt: 5:   8 Notes for instructors or tutors
  643.    wt: 5:   2 Column Multiplication Method
  644.    wt: 5:   Rewriting algebraic substitution as function substitutions
  645.    wt: 5:   8 arcsin left inverse of sine Graph
  646.    wt: 5:   6 Graph of arccos function
  647.    wt: 5:   4 possible motivation for term arccos
  648.    wt: 5:   9 Head to Tail Coordinate View
  649.    wt: 5:   3 Navigation with Arrows or Vectors
  650.    wt: 5:   17 tangent function angle sum formulas
  651.    wt: 5:   32 seven rows of pascals triangle
  652.    wt: 5:   25 tangent double angle formula Slope connection
  653.    wt: 5:   24 tangent Angle Difference Formula
  654.    wt: 5:   20 sine and cosine Double Angle Formulas
  655.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  656.    wt: 5:   17C sine and cosine double triple angle formulas
  657.    wt: 5:   17A The complex number valued trig function cis
  658.    wt: 5:   15 sine cosine Complementary Angle Relations
  659.    wt: 5:   13 Graph of tangent function many periods
  660.    wt: 5:   11 tangent function undefined when terminal side vertical
  661.    wt: 5:   10 Graphs of sines and cosines many periods
  662.    wt: 5:   2 Quadrant I reference Angles
  663.    wt: 5:   21 Logarithms Powers and Exponentials
  664.    wt: 5:   11 sine and cosine double triple angle formulas
  665.    wt: 5:   7 Second Way to Calculate Products
  666.    wt: 5:   Appetizer A Complex Number Applet
  667.    wt: 5:   8 Triangles Cascade Problem Solving
  668.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  669.    wt: 5:   Four Simple Exercises
  670.    wt: 5:   8 Mid Point Formula
  671.    wt: 5:   6 Intersection of lines by solving linear systems
  672.    wt: 5:   4 Equations for lines three forms
  673.    wt: 5:   3 Slope product for perpendicular lines
  674.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  675.    wt: 5:   PS C Similarity Use Recognize it in Trigonometry
  676.    wt: 5:   PS A Kite Construction Methods
  677.    wt: 5:   5 Side Angle Side
  678.    wt: 5:   2 Correspondence between Triangles
  679.    wt: 5:   Short Course on Euclidean Geometry
  680.    wt: 5:   24 Signed Numbers Arithmmetic Properties
  681.    wt: 5:   22 Multiplication of Signed Numbers
  682.    wt: 5:   1 The Counting Origins of Numbers
  683.    wt: 5:   6 Unsigned Real Numbers
  684.    wt: 5:   3 Fractions
  685.    wt: 5:   7 Cautious or Safe Set Construction
  686.    wt: 5:   2 Venn Diagrams
  687.    wt: 5:   3 Adding Words To Arithmetic
  688.    wt: 5:   1 Three Skills For Algebra
  689.    wt: 5:   6 GCD from Prime
  690.    wt: 5:   4 signed coordinates for regions in space
  691.    wt: 5:   21 Working With Signs
  692.    wt: 5:   D Remainders Modulo 11 Pair Rule
  693.    wt: 5:   13 Subtraction with Additive Inverse
  694.    wt: 5:   6 Multiplication by Natural Numbers
  695.    wt: 5:   12 LCD GCD and LCM using Primes
  696.    wt: 5:   11 Efficient Square Rule Use
  697.    wt: 5:   Expression Evaluation how to show work
  698.    wt: 5:   The 12 Times Table Visually
  699.    wt: 5:   5 Conversion Arithmetic
  700.    wt: 5:   3 Units and Lengths of Time
  701.    wt: 5:   1 Intro of Kids To Time Date Skills
  702.    wt: 5:   3 Two Chain Rule Method Exercises
  703.    wt: 5:   2 Indefinite Integrals Exercises
  704.    wt: 5:   1 Chain Rule in Reverse Integration Method
  705.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  706.    wt: 5:   11 Quotient rule
  707.    wt: 5:   6 Power rule from product rule
  708.    wt: 5:   5 Product Rule
  709.    wt: 5:   4 Sum Rule
  710.    wt: 5:   11 Limits at infinity Three Examples
  711.    wt: 5:   6 Continuity at a point
  712.    wt: 5:   5 Jumps and absence of unlimited error control
  713.    wt: 5:   G.5 Motions With Bounded Velocities
  714.    wt: 5:   G.4 Lipschitz Continuity implies EquiContinuity
  715.    wt: 5:   F.4 Finite Covering Theorem
  716.    wt: 5:   D2 Limits of Monotone Sequences
  717.    wt: 5:   Chapter 20 Vectors and Complex Numbers
  718.    wt: 5:   Chapter 12. Units and Slopes
  719.    wt: 5:   Chapter 11. Graphing Slope versus Position
  720.    wt: 5:   Chapter 10 Slopes and Units
  721.    wt: 5:   Chapter 8. Slope Interpretation
  722.    wt: 5:   Chapter 7 Slopes and Velocity
  723.    wt: 5:   Appendix C. How to Read
  724.    wt: 5:   Appendix B. How To Learn
  725.    wt: 5:   Chapter 30 Truth Tables
  726.    wt: 5:   Chapter 28 Occurrence Tables
  727.    wt: 5:   Chapter 23. Notation For Sums
  728.    wt: 5:   Chapter 22. Geometric Sums and Sequences
  729.    wt: 5:   Chapter 21. Third Reading Guide
  730.    wt: 5:   Chapter 19. Functions and Sets
  731.    wt: 5:   Chapter 16. Painless Theorem Proving
  732.    wt: 5:   Chapter 13. Second Reading Guide
  733.    wt: 5:   Chapter 11. Why Shorthand
  734.    wt: 5:   Solutions For Arithmetic Exercises
  735.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
  736.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  737.    wt: 5:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  738.    wt: 4:   why bother
  739.    wt: 4:   website reviews
  740.    wt: 4:   site origins
  741.    wt: 4:   Postscript 2007 01 10
  742.    wt: 4:   three difficulties
  743.    wt: 4:   Theory of Knowledge
  744.    wt: 4:   deux definitions pour variable
  745.    wt: 4:   2 Conductance Resistance Duality02
  746.    wt: 4:   1 Conductance Resistance Duality01
  747.    wt: 4:   F Wire Resistance Calculation04
  748.    wt: 4:   E Wire Resistance Calculation03
  749.    wt: 4:   D Wire Resistance Calculation02
  750.    wt: 4:   C Wire Resistance Calculation01
  751.    wt: 4:   B Wire Resistance Qualitative02
  752.    wt: 4:   24 Standards For Skill Develoment Take II
  753.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  754.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  755.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  756.    wt: 4:   17 Math Booklets for children and young teenagers
  757.    wt: 4:   14 Multiplication and Times Tables
  758.    wt: 4:   12 Goals and Objectives For Mathematics
  759.    wt: 4:   4 Learning Takes Time and Effort
  760.    wt: 4:   Ages 12 to 14 Geometry
  761.    wt: 4:   Ages 10 to 12 Geometry
  762.    wt: 4:   Ages 9 to 10
  763.    wt: 4:   Ages 8 to 9
  764.    wt: 4:   Ages 7 to 8
  765.    wt: 4:   Ages 6 to 7
  766.    wt: 4:   Ages 4 plus to 5 plus
  767.    wt: 4:   Ages 3 plus to 4 plus
  768.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  769.    wt: 4:   19 Horizontal line rule and method
  770.    wt: 4:   18 Vertical Line Rule and Method
  771.    wt: 4:   12 Function Domain Recognition Exercises
  772.    wt: 4:   10 Interval Notation
  773.    wt: 4:   8 Set view of relations and functions
  774.    wt: 4:   7 Links Lessons Elsewhere
  775.    wt: 4:   7 arcsin left inverse of sine Definition
  776.    wt: 4:   3 Left Inverse of cosine arccos definition
  777.    wt: 4:   12 From Applied To Pure Mathematics
  778.    wt: 4:   8 Parallel Vectors
  779.    wt: 4:   4 Resultant of a Sum of Movements
  780.    wt: 4:   Vector and Complex Number Applet
  781.    wt: 4:   30 unit circle calculation of six trigonometric functions
  782.    wt: 4:   27 Logarithmic use of products of sines and cosines
  783.    wt: 4:   26 Formulas for products of sines and cosines
  784.    wt: 4:   17G Pythagorean Theorem Converse
  785.    wt: 4:   17E Trig Formulas for dot and cross Products
  786.    wt: 4:   12 Graph of tangent function for one period
  787.    wt: 4:   9 Graphs of sine and cosine over one period
  788.    wt: 4:   6 sines and cosines for reference angle 30 degrees
  789.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  790.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  791.    wt: 4:   3 sines and cosines for reference angle 90 degrees
  792.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  793.    wt: 4:   16 References and Originality Question
  794.    wt: 4:   15 Pythagorean Theorem Converse
  795.    wt: 4:   13 Trig Formulas for dot and cross Products
  796.    wt: 4:   9 The complex number valued trig function cis
  797.    wt: 4:   2 Complex Numbers made easier we hope
  798.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  799.    wt: 4:   3 Trigonometric Ratios sine and cosine
  800.    wt: 4:   1 Angle Measurement with Degrees
  801.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  802.    wt: 4:   12 Links Lessons elsewhere
  803.    wt: 4:   4 Side Side Side
  804.    wt: 4:   19 Signed Multiples of Vectors
  805.    wt: 4:   2 Integers
  806.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  807.    wt: 4:   6 Power Set Notation
  808.    wt: 4:   5 Product Builder Notation
  809.    wt: 4:   4 Subset Builder Notation
  810.    wt: 4:   About Folder Contents
  811.    wt: 4:   9 subtracting signed numbers
  812.    wt: 4:   6 adding signed numbers
  813.    wt: 4:   5 lengths and signs of numbers
  814.    wt: 4:   12 Adding Integers More Examples
  815.    wt: 4:   10 Integer Multiplication Formulas
  816.    wt: 4:   5 Zero Movement and Additive Inverses
  817.    wt: 4:   3 Adding Movements with same direction
  818.    wt: 4:   1 Integers as Coordinates
  819.    wt: 4:   3 Second derivative test
  820.    wt: 4:   2 Second derivative test prequel
  821.    wt: 4:   10 Three one sided limits with infinite values
  822.    wt: 4:   9 Limits Continuity and Composition
  823.    wt: 4:   4 Numerical properties
  824.    wt: 4:   3 Decimal insights for limits continuity convergence
  825.    wt: 4:   1 Numerical introduction
  826.    wt: 4:   Chapter 23 Links To Trigonometry
  827.    wt: 4:   Chapter 22 Complex Numbers
  828.    wt: 4:   Chapter 5. Slope Sign Tests
  829.    wt: 4:   Chapter 1.Introduction
  830.    wt: 4:   Postscript More on Better Performance
  831.    wt: 4:   Postscript For Better Performance
  832.    wt: 4:   S Adding words to algebra
  833.    wt: 4:   O On Learning Mathematics and Science
  834.    wt: 4:   N Improving Marks on Tests and Finals
  835.    wt: 4:   I. Logic and language skills
  836.    wt: 4:   D. Check work a must with a caution
  837.    wt: 4:   Helping the Blind in Logic and Mathematics
  838.    wt: 4:   Mathematics Education References
  839.    wt: 4:   Mathematics Education References
  840.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  841.    wt: 4:   Multiple Ways to Improve Mathematics Skill Development
  842.    wt: 4:   Implementation Notes
  843.    wt: 4:   Talking pdf files for online lessons a webvideo alternative
  844.    wt: 3:   liens
  845.    wt: 3:   problemes responses
  846.    wt: 3:   logique deux enigme
  847.    wt: 3:   3 Like resistors in parallel
  848.    wt: 3:   2 Unlike resistors in parallel01
  849.    wt: 3:   24 Standards For Skill Develoment
  850.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  851.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  852.    wt: 3:   18 Primary School Mathematics
  853.    wt: 3:   16 Secondary Mathematics Tips
  854.    wt: 3:   11 Help and Defend Your Child or Teens Education
  855.    wt: 3:   9 Streaming by Student Cooperation
  856.    wt: 3:   8 The Effect of Negative Remarks
  857.    wt: 3:   2 Reading and Writing Skills
  858.    wt: 3:   26 Function definitions done and coming
  859.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  860.    wt: 3:   13 From one to one to many to one
  861.    wt: 3:   9 Set theory term relation possible origins
  862.    wt: 3:   7 Functions with finite domains
  863.    wt: 3:   1 Geometric Introduction of Function Notation
  864.    wt: 3:   Introduction Reading Guide
  865.    wt: 3:   2 cosine function more properties
  866.    wt: 3:   1 cosine function properties
  867.    wt: 3:   15 Dot and Cross Product
  868.    wt: 3:   6 Vectors with Coordinates
  869.    wt: 3:   2 Signed Coordinates
  870.    wt: 3:   1 Unsigned Coordinates
  871.    wt: 3:   28 Expressing products of sines cosines as sums
  872.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  873.    wt: 3:   17F Law of cosines
  874.    wt: 3:   8 period of tangent function
  875.    wt: 3:   7 period of sine and cosine
  876.    wt: 3:   1 Unit Points Reflections Rotations
  877.    wt: 3:   14 Law of cosines
  878.    wt: 3:   4 Multiplication Properties
  879.    wt: 3:   3 Addition Properties
  880.    wt: 3:   7 Trignometric Ratios Unit Circle
  881.    wt: 3:   About Folder Contents
  882.    wt: 3:   8 Sets of Numbers
  883.    wt: 3:   3 Counting with Sets etc
  884.    wt: 3:   1 Finite Sets
  885.    wt: 3:   10 dividing signed numbers
  886.    wt: 3:   8 multiplying signed numbers
  887.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  888.    wt: 3:   B Integer Long Division Multiple Choices
  889.    wt: 3:   8 Multiplication by Signed Numbers Integers
  890.    wt: 3:   7 Multiplication by Signs
  891.    wt: 3:   4 Adding Movements wiht opposite directions
  892.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  893.    wt: 3:   The 20 Times Table
  894.    wt: 3:   About folder contents
  895.    wt: 3:   Foreword
  896.    wt: 3:   Foreword
  897.    wt: 3:   R Why Learn Mathematics Skills
  898.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  899.    wt: 3:   N Mathematics Prepare for College Studies
  900.    wt: 3:   L Skills with take home value
  901.    wt: 3:   H Jigsaw puzzles and problem solving
  902.    wt: 3:   G. Written work formats for developing and showing skill
  903.    wt: 3:   F. The student teacher tutor feedback loop
  904.    wt: 3:   A. Skill has to be seen to believed
  905.    wt: 3:   Which Way To Go
  906.    wt: 2:   Home Tutoring and Home Schooling
  907.    wt: 2:   22 Student Centered Highschool Mathematics
  908.    wt: 2:   15 Counting For Parents
  909.    wt: 2:   10 Ends values for work study instruction
  910.    wt: 2:   7 Student Motivation
  911.    wt: 2:   3 Preparing for Science Studies
  912.    wt: 2:   1 Speaking Skills
  913.    wt: 2:   23 Inverse Functions
  914.    wt: 2:   14 Surjections Injections Bijections
  915.    wt: 2:   13 Velocity Vectors in Physics
  916.    wt: 2:   11 Component Method
  917.    wt: 2:   Unit Circle Development of Trigonometry
  918.    wt: 2:   20 N th Roots of Complex Numbers
  919.    wt: 2:   19 N th Roots of Unity
  920.    wt: 2:   18 Sixth Roots of Unity
  921.    wt: 2:   17 Cube Roots of unity
  922.    wt: 2:   8 Unit Circle Development of Trigonometry
  923.    wt: 2:   6 Field Properties of Complex Number
  924.    wt: 2:   Why Trigonometry the whyslopes view
  925.    wt: 2:   9 Multiplying Integers
  926.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  927.    wt: 2:   M Words to extend arithmetic
  928.    wt: 2:   J. More on written work and showing skill
  929.    wt: 2:   E. When and how to correct errors
  930.    wt: 2:   C. Domino effect of being careful
  931.    wt: 2:   How to Build Skills and Confidence
  932.    wt: 2:   Road Safety Questions
  933.    wt: 2:   The Math Forum and Site Content
  934.    wt: 1:   4 Energy Power Heat09
  935.    wt: 1:   3 Energy Power Heat08
  936.    wt: 1:   2 Energy Power Heat07
  937.    wt: 1:   1 Energy Power Heat06
  938.    wt: 1:   A Energy Power01
  939.    wt: 1:   1 Like resistors in series
  940.    wt: 1:   F Unlike Resistors in Series
  941.    wt: 1:   E Kirchoffs Second Law
  942.    wt: 1:   D Kirchoff First Law
  943.    wt: 1:   C Electromotive force conventional current02
  944.    wt: 1:   B Electromotive force conventional current01
  945.    wt: 1:   A Circuit Elements
  946.    wt: 1:   H more Routine to non routine problem solving
  947.    wt: 1:   B. Domino effect of errors
  948.    wt: 15:   Parallel Lines and Parallel Transversals
  949.    wt: 14:   Parallel Lines and Alternating Corresponding Angles
  950.    wt: 14:   13 Pythagorean spatial distance formulas
  951.    wt: 14:   1 Comparison and Subtraction Easy Direct Cases
  952.    wt: 14:   Example 1. Area Between x and x squared
  953.    wt: 13:   Proportionality of Line Segments From Parallel Transversals
  954.    wt: 13:   10 Pythagorean plane distance formula
  955.    wt: 13:   5 Cartesian Addition and Translation
  956.    wt: 13:   2 More and Less Than for Counts and Measures
  957.    wt: 13:   2 Another Rectangle Area Formula Example
  958.    wt: 13:   Long Division forwards and backwards Example 3
  959.    wt: 13:   Long Division forwards and backwards Example 2
  960.    wt: 13:   Long Division forwards and backwards Example 1
  961.    wt: 13:   Appendix 1 Decimals Comparison Method Take II
  962.    wt: 13:   3 Harder Cases Convert to Compare and Subtract
  963.    wt: 13:   Example 1 volume of a pyramid
  964.    wt: 12:   sign monoticity analysis example 4
  965.    wt: 12:   sign monoticity analysis example 3
  966.    wt: 12:   sign monoticity analysis example 2
  967.    wt: 12:   sign monoticity analysis example 1
  968.    wt: 12:   5 Natural Logarithm Calculator Exercises
  969.    wt: 12:   3 Natural Logarithms and Exponentials Basic Properties
  970.    wt: 12:   9 Summary Degrees to Radians and back
  971.    wt: 12:   7 Radian Measures in special Triangles
  972.    wt: 12:   4 Circle Sector Area proportional to Central Angle
  973.    wt: 12:   2 Radian Measure Numerical Value of one degree
  974.    wt: 12:   Parallel Lines and Interior Angles
  975.    wt: 12:   Construction Methods and Criteria for Isometric and Similar Triangles
  976.    wt: 12:   1 Decimals Modular and Remainder Arithmetic
  977.    wt: 12:   4 Rates Ratios and Proporitionality
  978.    wt: 12:   9 Circle Area and Perimeter Formula Backwards Forwards
  979.    wt: 12:   4 Rectangle Area and Like Formulas Backwards
  980.    wt: 12:   5 Greater More Less Than Signs in General
  981.    wt: 12:   4 Comparison of Negative Numbers
  982.    wt: 12:   1 Real Numbers Comparison
  983.    wt: 12:   5 Gaussian Elimination for 3 unknowns 2nd example
  984.    wt: 12:   3 Gaussian Elimination 3 unknowns first example
  985.    wt: 12:   3 GE III Equation Addition and Multiplication
  986.    wt: 12:   6 Pythagorean Hypotenuse Calculation Example
  987.    wt: 12:   3 Triangle Area Formula Example
  988.    wt: 12:   A Decimals Modular and Remainder Arithmetic
  989.    wt: 12:   7 Subtraction for Decimal Fractions with Exercises
  990.    wt: 12:   2 Subtraction Easy Case Examples
  991.    wt: 12:   7 Adding decimal fractions using decimal point
  992.    wt: 12:   3. How to add with decimals A sans conversions
  993.    wt: 12:   11 Place Value SI Standard International way
  994.    wt: 12:   Example 2 volume of a cone
  995.    wt: 12:   Area Between Crossing Curves Lesson Take 2
  996.    wt: 12:   Area Between Crossing Curves Lesson Take 1
  997.    wt: 12:   Area Between Curves Lesson Take 2
  998.    wt: 12:   Area Between Curves Lesson Take 1
  999.    wt: 12:   Chapter 4 Implication Rules Forwards and Backwards
  1000.    wt: 12:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  1001.    wt: 12:   Primary and Secondary Skills and Practices with Take Home Value
  1002.    wt: 11:   Appendix 1 primary and preschool mathematic
  1003.    wt: 11:   8 quadratics backward use of various formulas
  1004.    wt: 11:   8 Radian Measures of Common Angles
  1005.    wt: 11:   3 Circle Arclengh Proportional to Central Angle
  1006.    wt: 11:   2 Graphing y=Af(x) Vertical Scaling
  1007.    wt: 11:   13 Navigation Location from Angles to 2 Landmarks
  1008.    wt: 11:   6 Polar Multiplication and Rotation
  1009.    wt: 11:   1 Cartesian Coordinates sans signs
  1010.    wt: 11:   3 Lengths and Areas on Maps and Plans
  1011.    wt: 11:   5 Areas of Rectangles Revisited
  1012.    wt: 11:   4 Fraction Operations Axiomatic Development
  1013.    wt: 11:   3 Inequalities Algebraically
  1014.    wt: 11:   5 Proportionality in Equivalent Fractions
  1015.    wt: 11:   1 What is Proportionality
  1016.    wt: 11:   8 Pythagorean Relation Forwards Backwards
  1017.    wt: 11:   5 Triangle Area Formula Backwards
  1018.    wt: 11:   4 Subtraction and Division Axioms
  1019.    wt: 11:   2 Addition and Multiplication Axioms
  1020.    wt: 11:   3 More and Less Than with Unlike Signs
  1021.    wt: 11:   4 GE III Animated Examples
  1022.    wt: 11:   4 Circle Area Formula Example
  1023.    wt: 11:   C Equality for Fractions and Two Term Ratios and Fractions
  1024.    wt: 11:   8 Numerals Fractionals Quantals Take II
  1025.    wt: 11:   Fraction Operations by Raising Terms A Simple Innovation
  1026.    wt: 11:   A Elementary Basis for Multiplication Methods
  1027.    wt: 11:   Appendix 2 Three Decimal Subtraction Methods
  1028.    wt: 11:   Subtraction with J Conversions Example
  1029.    wt: 11:   Subtraction Another Video Lesson
  1030.    wt: 11:   6 Subtraction with Conversion Example with Exercises
  1031.    wt: 11:   Appendix 1 Counting Revisited 15 minute video
  1032.    wt: 11:   8 What skills and work habits to require
  1033.    wt: 11:   6. Counting and adding units and mixed units
  1034.    wt: 11:   5. How to add decimals C. Examples
  1035.    wt: 11:   1. Explaining Addition Table
  1036.    wt: 11:   Chapter 2 For and Against Mathematics
  1037.    wt: 11:   Chapter 22 Contrapositive and Vacuously True Implications
  1038.    wt: 11:   Chapter 17 Objective Ways Trial and Error Discovery
  1039.    wt: 11:   Chapter 16 Origins and Limitations of Rules and Patterns
  1040.    wt: 11:   Chapter 12 Islands and Divisions of Knowledge
  1041.    wt: 11:   Chapter 7 Calculus Previews and Calculus Lightly
  1042.    wt: 11:   Chapter 6 More Algebra and Geometry
  1043.    wt: 11:   Chapter 3 Algebra Starter Lessons
  1044.    wt: 10:   B LAMP Introduction Curriculum Development Standards
  1045.    wt: 10:   Ramblings Introduction Algebra Essay
  1046.    wt: 10:   chapitre 07 00 Des chaines plus longues de la raison
  1047.    wt: 10:   chapitre 06 00 Chaines de la raison
  1048.    wt: 10:   6 quadratics numerical approach
  1049.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1050.    wt: 10:   1 Calculator Starter Exercises
  1051.    wt: 10:   6 Radian Measure to Degrees
  1052.    wt: 10:   5 Degrees to Radian Measure
  1053.    wt: 10:   1 Degrees and Radians Introduction
  1054.    wt: 10:   Triangle Angles Sum To 180 Degrees
  1055.    wt: 10:   SAS Method For Isometric Or Proportional Triangle Construction
  1056.    wt: 10:   3 Straight Lines Slope as Tangent of Inclination Angle
  1057.    wt: 10:   7 Translations Rotations Reflections Dilatations
  1058.    wt: 10:   12 Spatial Coordinates
  1059.    wt: 10:   9 Pythagorean Theorem Chinese Square Proof
  1060.    wt: 10:   8 Distance Between Points on a Line
  1061.    wt: 10:   4 Polar Coordinates to and from
  1062.    wt: 10:   3 Rectangular Coordinates Review
  1063.    wt: 10:   2 Cartesian Coordinates with signs
  1064.    wt: 10:   5 Drawing to Scale Avoids Angle Distortions
  1065.    wt: 10:   4 Angles on Maps Plans drawn to scale
  1066.    wt: 10:   15 Head to Tails in place Addition Associative
  1067.    wt: 10:   B Decimal Comparison and Subtraction
  1068.    wt: 10:   2 Fraction Operations Physical Development
  1069.    wt: 10:   3 Proportionality Examples
  1070.    wt: 10:   2 Algebraic View
  1071.    wt: 10:   6 Equations and Systems Equivalent or Implied
  1072.    wt: 10:   5 Equality in Algebra
  1073.    wt: 10:   2 GE II Comparison
  1074.    wt: 10:   4 Solving a triangular system exercise
  1075.    wt: 10:   6 Algebraic Solution Example
  1076.    wt: 10:   4 Four Examples Fractional Coefficients
  1077.    wt: 10:   Skill Development Notes
  1078.    wt: 10:   10 One Example
  1079.    wt: 10:   9 Three Examples
  1080.    wt: 10:   8 One Example
  1081.    wt: 10:   7 Two Examples
  1082.    wt: 10:   6 Three Examples
  1083.    wt: 10:   5 Three Examples
  1084.    wt: 10:   4 Two Examples
  1085.    wt: 10:   3 Two Examples
  1086.    wt: 10:   2 Three Examples
  1087.    wt: 10:   8 Compound Interest Formula Evaluation
  1088.    wt: 10:   5 Box Volume Formula Example
  1089.    wt: 10:   A Similarities between Fractions and Two Term Ratios
  1090.    wt: 10:   16 Addition Subtraction Comparision Compared
  1091.    wt: 10:   13 Fraction Comparison Algebraic View
  1092.    wt: 10:   7 Numerals Fractionals Quantals
  1093.    wt: 10:   6 Multiplication Algebraically Take II
  1094.    wt: 10:   1 What is a fraction Take II
  1095.    wt: 10:   16 Remainder Arithmetic Modulo 9 Example 2
  1096.    wt: 10:   15 Remainder Arithmetic Modulo 9 Example
  1097.    wt: 10:   14 Remainder Arithmetic Modulo 9 Example
  1098.    wt: 10:   13 Remainder Arithmetic Modulo 5 Example
  1099.    wt: 10:   12 Remainder Arithmetic Modulo 10 Example
  1100.    wt: 10:   11 Remainder Arithmetic Long Division by 5 Quickly more
  1101.    wt: 10:   10 Remainder Arithmetic Long Division by 5 Quickly
  1102.    wt: 10:   9 Remainder Arithmetic Divisibility by 5
  1103.    wt: 10:   8 Remainder Arithmetic Morulo 5 Examples II
  1104.    wt: 10:   7 Remainder Arithmetic Modulo 5 Examples I
  1105.    wt: 10:   4 Remainder Arithmetic Modulo 10 in general
  1106.    wt: 10:   7 Calculator Usage Notes and Cautions
  1107.    wt: 10:   Long Division Backwards more
  1108.    wt: 10:   Long Division Backward
  1109.    wt: 10:   7 Long Divison Mistake Catching
  1110.    wt: 10:   Video Decimal Multiplication Geometric View Example 2
  1111.    wt: 10:   Video Decimal Multiplication Geometric View Example 2
  1112.    wt: 10:   Video Power Notation in Decimal Expansion
  1113.    wt: 10:   8 Subtraction with Units of Measure
  1114.    wt: 10:   5 A Tip for Efficent Subtraction
  1115.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
  1116.    wt: 10:   4. How to add with decimals B with conversions
  1117.    wt: 10:   2 Decimal Counting Practices
  1118.    wt: 10:   9 Place Value Review Decimal form of Avogrados number included
  1119.    wt: 10:   Volume of Solid by Cross Sections Lesson
  1120.    wt: 10:   Example 4 with x function of y
  1121.    wt: 10:   Example 3
  1122.    wt: 10:   Example 2
  1123.    wt: 10:   Example 1
  1124.    wt: 10:   A Chain Rule Real Player video examples
  1125.    wt: 10:   Chapter 14. Forward and Backward Use of a Formula
  1126.    wt: 10:   Annotated Links to Material Elsehwere
  1127.    wt: 10:   Chapter 6 Rule Based Reason in Mathematics
  1128.    wt: 10:   Postscript C Consistency as a Tool for Reason
  1129.    wt: 10:   Chapter 19 What is in chapters 20 to 24
  1130.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
  1131.    wt: 10:   Chapter 11 Accidental Patterns
  1132.    wt: 10:   Chapter 9 What is in Chapters 10 to 18
  1133.    wt: 10:   Chapter 8 Change of Language
  1134.    wt: 10:   Chapter 3 What is in chapters 4 to 8
  1135.    wt: 10:   Appendix A Calculus with Proofs for Keen or Gifted
  1136.    wt: 10:   Chapter 4 Logic for Reading Writing and Geometry etc
  1137.    wt: 10:   5 Interpreting and Drawing Maps and Plans.
  1138.    wt: 10:   2 Identifying Size and Position Place and Spatial Sense
  1139.    wt: 10:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year

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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