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

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

Extended Search

1137 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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