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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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

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1077 matches:

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

Extended Search

1138 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 2 Geometry
  6.    wt: 9:   9 combinatorics probability sets
  7.    wt: 9:   Math Ed if it must be short make it lean effective
  8.    wt: 9:   five decades make a difference
  9.    wt: 9:   talk the algebra talk
  10.    wt: 9:   geometric implications for algebra
  11.    wt: 9:   three goals for Mathematics Education
  12.    wt: 9:   standards for course material
  13.    wt: 9:   Education in mathematics science and technology
  14.    wt: 9:   education an empirical art
  15.    wt: 9:   chapitre 06 00 Chaines de la raison
  16.    wt: 9:   chapitre 04 10 Etapes pour une meilleur raison
  17.    wt: 9:   chapitre 04 07 RepetablesEtReproductibles
  18.    wt: 9:   chapitre 02 00 La Communication des idees
  19.    wt: 9:   10 quadratic exercises
  20.    wt: 9:   Quadratics in 10 steps
  21.    wt: 9:   10 Exponential Growth and Decay Models
  22.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  23.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
  24.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
  25.    wt: 9:   2 Square Root Simplification a prequel
  26.    wt: 9:   1 Calculator Starter Exercises
  27.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
  28.    wt: 9:   14 secant function Definition Graph and Inverse
  29.    wt: 9:   13 cosecant function Definition Graph and Inverse
  30.    wt: 9:   12 motivation for term arctan
  31.    wt: 9:   10 arctan left inverse of tangent Definition
  32.    wt: 9:   9 motivation for name arcsin
  33.    wt: 9:   5 Swapping Coordinates is a reflection
  34.    wt: 9:   A Global Time and Navigation
  35.    wt: 9:   14 Why Scalar Multiplication Distributes Physical Argument
  36.    wt: 9:   10 Parallelogram Addition Method
  37.    wt: 9:   3 Navigation with Arrows or Vectors
  38.    wt: 9:   C Straight Lines Slope from Coordinates
  39.    wt: 9:   B Straight Line Slope Scaling Properties More
  40.    wt: 9:   7 Tangent Function is odd on this domain
  41.    wt: 9:   5 Tangent Function Graph
  42.    wt: 9:   2 Straight Lines Slopes As Rise Over Run
  43.    wt: 9:   22 sine of 22.5 degrees via half angle formulas
  44.    wt: 9:   21 sine and cosine Half Angle Formulas
  45.    wt: 9:   16 Right Triangle Complementary Angle Relations
  46.    wt: 9:   14 cosine even and sine and tangent are odd
  47.    wt: 9:   Appetizer A Complex Number Applet
  48.    wt: 9:   4 Trigonometric Ratios For Two Special Triangles
  49.    wt: 9:   3 Trigonometric Ratios sine and cosine
  50.    wt: 9:   2 Similar Triangles Equality of Corresponding Side Ratios
  51.    wt: 9:   8 Similarity of Triangles and Polygons
  52.    wt: 9:   1 Early Concept of Like or Similar Shapes
  53.    wt: 9:   10 Midpoint of [a b] and [b a]
  54.    wt: 9:   3 Slope product for perpendicular lines
  55.    wt: 9:   1 Numerical view of lines and their equations
  56.    wt: 9:   Euclidean Geometry Elsewhere LINKS
  57.    wt: 9:   PS G Rotation Distributes over Addition
  58.    wt: 9:   PS C Similarity Use Recognize it in Trigonometry
  59.    wt: 9:   PS A Kite Construction Methods
  60.    wt: 9:   19 Right Triangle Similarity
  61.    wt: 9:   17 Right Bisectors of Triangle Sides
  62.    wt: 9:   15 Triangle Angle Sum is 180 degrees
  63.    wt: 9:   12 Side Angle Side Failure
  64.    wt: 9:   11 Triangle Construction Fails
  65.    wt: 9:   10 Dropping a perpendicular to line
  66.    wt: 9:   7 Angle Side Angle
  67.    wt: 9:   2 Correspondence between Triangles
  68.    wt: 9:   1 Initial Concepts and Terms
  69.    wt: 9:   Short Course on Euclidean Geometry
  70.    wt: 9:   A Measurement with Ruler Proper Use
  71.    wt: 9:   6 Figuring with Maps Not to Scale
  72.    wt: 9:   C Three Decimal Subtraction Methods
  73.    wt: 9:   8 Column Multiplication Methods in General
  74.    wt: 9:   6 Column Methods for Decimal Multiplication
  75.    wt: 9:   3 Multiplicative Counting Skills Principles
  76.    wt: 9:   6 Compound Interest Forward and Backwards
  77.    wt: 9:   3 Linear Equation Literal Solution More
  78.    wt: 9:   3 Product Axioms Two Forms
  79.    wt: 9:   1 Equivalent Computation Rules
  80.    wt: 9:   2 Computation Rules Evaluation
  81.    wt: 9:   1 Formulas Dependence and Function Notation
  82.    wt: 9:   2 Essentially one exercises three with solution
  83.    wt: 9:   1 Essentially One Unknown
  84.    wt: 9:   2 Three Examples
  85.    wt: 9:   Using Letters for Physical Quantities
  86.    wt: 9:   Formula Usage Show Work Format
  87.    wt: 9:   13 Naming Identifying Formulas with Words
  88.    wt: 9:   5 Box Volume Formula Example
  89.    wt: 9:   1 Written work formats for developing and showing skill
  90.    wt: 9:   3 Comparison of Negative Numbers
  91.    wt: 9:   1 More and Less Than for Counts and Measures
  92.    wt: 9:   3 Properties of Square Roots with example
  93.    wt: 9:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  94.    wt: 9:   7 GCD and LCM from prime factorization
  95.    wt: 9:   2 Least Common Multiple LCM intro via list method
  96.    wt: 9:   5 Counting with Tables Trees Product Rule Take II
  97.    wt: 9:   3 Counting with Tables and Trees II
  98.    wt: 9:   2 Counting with Tables and Trees I
  99.    wt: 9:   1 Counting and Counting Methods I
  100.    wt: 9:   11 What are real lengths and numbers
  101.    wt: 9:   6 Simplification of Fractions with Units
  102.    wt: 9:   2 Equality and Units
  103.    wt: 9:   B Fractions and Two Term Ratios
  104.    wt: 9:   21 Reciprocals for Fractions and Wholes
  105.    wt: 9:   1 What is a fraction
  106.    wt: 9:   27 Divisibility by 2 3 6 5 9 10 Example
  107.    wt: 9:   26 Divisibility by 2 3 5 Example
  108.    wt: 9:   25 Divisibility Tests for 2 3 5 9 10 Example
  109.    wt: 9:   20 Uniqueness of Prime Factorization
  110.    wt: 9:   17 Identify and Count Factors using Primes
  111.    wt: 9:   16 video Factors of 980 using prime
  112.    wt: 9:   13 video Factors of 24 using prime
  113.    wt: 9:   2 Prime and Composites less than 16
  114.    wt: 9:   12 Why Long Division Works Take III
  115.    wt: 9:   9 Why Long Division Works Take II
  116.    wt: 9:   8 Correcting the Mistake
  117.    wt: 9:   10 Names for Big Numbers and Powers of Ten Expansion
  118.    wt: 9:   2 Groups of Three Place Value for Multidigit Decimals
  119.    wt: 9:   34 Derivative of exponential function
  120.    wt: 9:   30Chain Rule A Proof
  121.    wt: 9:   29 Chain Rule Optional Reading
  122.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  123.    wt: 9:   3 Motivation for Limit Definition Take 2
  124.    wt: 9:   1 Fall 1983 Why Slopes Appetizer
  125.    wt: 9:   13 Limits with Parameters and Derivatives Take II
  126.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  127.    wt: 9:   Chapter 19. Exponentials and Natural Logarithms
  128.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  129.    wt: 9:   Chapter 17 Objective Ways Trial and Error Discovery
  130.    wt: 9:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  131.    wt: 9:   Chapter 11 Accidental Patterns
  132.    wt: 9:   Chapter 8 Change of Language
  133.    wt: 9:   Chapter 3 What is in chapters 4 to 8
  134.    wt: 9:   7 Games and Activities for Instruction
  135.    wt: 9:   1 From Number Recognition and Counting to Arithmetic B
  136.    wt: 9:   Systematic Algebra Skill Development Missing Links
  137.    wt: 9:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  138.    wt: 8:   J LAMP Introduction Extrinsic Origins
  139.    wt: 8:   G LAMP Introduction Problem Solving Skills
  140.    wt: 8:   F LAMP Introduction Prerequisites
  141.    wt: 8:   A Introduction Objectives
  142.    wt: 8:   Skills Chapter 4 Logic
  143.    wt: 8:   Ramblings Extrinsic numbers theory
  144.    wt: 8:   Skills Chapter 0 Introduction
  145.    wt: 8:   11 pure mathematics
  146.    wt: 8:   6 polynomials etc
  147.    wt: 8:   4 algebra
  148.    wt: 8:   2 arithmetic with signed numbers
  149.    wt: 8:   1 arithmetic with unsigned numbers
  150.    wt: 8:   Teach the teachers plus goals
  151.    wt: 8:   Mathematics Education Professors
  152.    wt: 8:   what should be learnt and When
  153.    wt: 8:   Maps Plans Drawings
  154.    wt: 8:   how letters appear
  155.    wt: 8:   Secondary Three Mathematics
  156.    wt: 8:   Secondary Two Mathematics
  157.    wt: 8:   Secondary One Mathematics
  158.    wt: 8:   02 20 mathematics education references
  159.    wt: 8:   three aims for mathematics students
  160.    wt: 8:   Operational Viewpoint to Value
  161.    wt: 8:   mathematics instruction in general
  162.    wt: 8:   Different Kinds of Reasoning in maths
  163.    wt: 8:   three kinds of reason in mathematics
  164.    wt: 8:   need for a mixed mathematics curriculum
  165.    wt: 8:   Leaner mathematics curriculum
  166.    wt: 8:   chapitre 07 01 principle D induction mathematique
  167.    wt: 8:   chapitre 04 09 Regles accidentelles
  168.    wt: 8:   chapitre 04 08 Limitations et benefices
  169.    wt: 8:   chapitre 04 04 Parlons de la logique
  170.    wt: 8:   chapitre 04 00 Les regles d implication
  171.    wt: 8:   11 Growth and Decay in Biology
  172.    wt: 8:   3 Polynomials Multiplication Addition
  173.    wt: 8:   8 arcsin left inverse of sine Graph
  174.    wt: 8:   6 Graph of arccos function
  175.    wt: 8:   4 possible motivation for term arccos
  176.    wt: 8:   5 Head To Tail Arrow Addition
  177.    wt: 8:   4 Tangent Function Properties
  178.    wt: 8:   1 Straight Lines Slope Concept
  179.    wt: 8:   17 tangent function angle sum formulas
  180.    wt: 8:   32 seven rows of pascals triangle
  181.    wt: 8:   30 unit circle calculation of six trigonometric functions
  182.    wt: 8:   25 tangent double angle formula Slope connection
  183.    wt: 8:   24 tangent Angle Difference Formula
  184.    wt: 8:   20 sine and cosine Double Angle Formulas
  185.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  186.    wt: 8:   17D cis formulas for sine cosines and tangent
  187.    wt: 8:   17C sine and cosine double triple angle formulas
  188.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  189.    wt: 8:   15 sine cosine Complementary Angle Relations
  190.    wt: 8:   13 Graph of tangent function many periods
  191.    wt: 8:   11 tangent function undefined when terminal side vertical
  192.    wt: 8:   10 Graphs of sines and cosines many periods
  193.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  194.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  195.    wt: 8:   2 Quadrant I reference Angles
  196.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  197.    wt: 8:   1 Rectangular Polar Coordinates Review
  198.    wt: 8:   8 Triangles Cascade Problem Solving
  199.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  200.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  201.    wt: 8:   12 Triangles Similarity More Problems
  202.    wt: 8:   11 Triangle Similarity Missing Side Problem
  203.    wt: 8:   4 Similarity Definition with Coordinate
  204.    wt: 8:   2 Similarity By Design
  205.    wt: 8:   9 Midpoint Coordinates Half Endpoint Sum
  206.    wt: 8:   7 Exercises to test skill and concept mastery
  207.    wt: 8:   5 Algebraic View of Slopes
  208.    wt: 8:   2 point slope equation for a line
  209.    wt: 8:   What is and is not here
  210.    wt: 8:   PS H Distributive Law For Complex Numbers
  211.    wt: 8:   9 Construction of a right bisector
  212.    wt: 8:   8 Isoceles Triangles
  213.    wt: 8:   5 Side Angle Side
  214.    wt: 8:   1 Length Measurement
  215.    wt: 8:   26 More Less Greater Than Comparison
  216.    wt: 8:   14 Vector Head to Tail Sums and Resultants
  217.    wt: 8:   13 Arrows and Vectors in a Plane
  218.    wt: 8:   7 Arithmetic with Infinite Decimal Expansions
  219.    wt: 8:   3 Location of Point in Decimal Multiplication
  220.    wt: 8:   4 Commutative Law Groups Counting Form
  221.    wt: 8:   2 Combing Counts Addition Skills and Principles
  222.    wt: 8:   7 Pythagorean Theorem Chinese Square Proof
  223.    wt: 8:   2 Linear Equation Literal Solution
  224.    wt: 8:   1 Changing Calculations
  225.    wt: 8:   8 Coordinates for Maps and Planes
  226.    wt: 8:   5 Independent versus Dependent Variables
  227.    wt: 8:   4 Changing Letters
  228.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
  229.    wt: 8:   10 Volume of Pyramid
  230.    wt: 8:   7 Compound Interest Formula Introduction
  231.    wt: 8:   9 Sets in Probability and Statistics
  232.    wt: 8:   arithmetic videos Real Player Format
  233.    wt: 8:   4 Greater More Less Than Signs in General
  234.    wt: 8:   5 Square Roots with primes more still
  235.    wt: 8:   4 Square Roots with primes more
  236.    wt: 8:   2 Square Roots with Prime
  237.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  238.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  239.    wt: 8:   14 GCD of 650 110 via Primes LCM via Product Rule
  240.    wt: 8:   13 GCD from given Prime Factorization
  241.    wt: 8:   11 GCD 2700 288 via Euclid Algorithm
  242.    wt: 8:   10 Euclid Algorithm with 129 125 and with 45 14
  243.    wt: 8:   8 GCD from Euclidean Algorithm
  244.    wt: 8:   4 LCM of 8 and 10 via Prime
  245.    wt: 8:   LCM 60 45 Avoid List Method Use Prime
  246.    wt: 8:   1 Least Common Multiples LCM Introduction
  247.    wt: 8:   4 Counting with Trees Product Rule Take I
  248.    wt: 8:   7 negative and additive inverse
  249.    wt: 8:   2 signed and unsigned numbers as coordinates
  250.    wt: 8:   7 Converting or Changing Units
  251.    wt: 8:   4 Fractions with Units
  252.    wt: 8:   3 Multiplying Units and Numbers
  253.    wt: 8:   12 Fraction Comparison
  254.    wt: 8:   9 Improper Fractions and Mixed Numbers
  255.    wt: 8:   5 Equivalent Fractions
  256.    wt: 8:   4 Fraction Multiplication
  257.    wt: 8:   2 Unit Fraction Multiplication
  258.    wt: 8:   A Associative Law Theorectical Note
  259.    wt: 8:   24 Divisibility Tests for 2 3 5 9 10
  260.    wt: 8:   12 LCD GCD and LCM using Primes
  261.    wt: 8:   11 Efficient Square Rule Use
  262.    wt: 8:   5 Long Division Include Zeroes or not
  263.    wt: 8:   4 Division with 2 Digit Divsors
  264.    wt: 8:   2 Division with Single Digit Divisors
  265.    wt: 8:   8 Review Lesson 1 2 4 and 6 All in One
  266.    wt: 8:   1 Place Value in Three Digit Whole Numbers
  267.    wt: 8:   Exact Arithmetic Wholes and Fractions
  268.    wt: 8:   016 Numbering Occidental Calendar Days
  269.    wt: 8:   9 Comparison and Subtraction of Time Intervals
  270.    wt: 8:   8 Addition of Time Intervals via subtotaling
  271.    wt: 8:   Volume of Solid by Cross Sections Lesson
  272.    wt: 8:   Summary
  273.    wt: 8:   31 Derivatives of inverse functions
  274.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  275.    wt: 8:   23 Chain Rule in general
  276.    wt: 8:   22 Chain Rule for polynomials
  277.    wt: 8:   19 Chain Rule for linear functions
  278.    wt: 8:   17 Derivatives of quotients of sine and cosine
  279.    wt: 8:   15 sine and cosine derivatives 3rd step
  280.    wt: 8:   14 sine and cosine derivatives 2nd step
  281.    wt: 8:   13 sine and cosine derivatives 1st step
  282.    wt: 8:   12 Quotient rule examples
  283.    wt: 8:   8 Differentiation of polynomials
  284.    wt: 8:   2 Motivation for Limit Definition Take 1
  285.    wt: 8:   PostScript For and Against Decimal Perspectives
  286.    wt: 8:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  287.    wt: 8:   Chapter 17. Area Approximation
  288.    wt: 8:   Chapter 15. Algebraic Evaluation of Limits
  289.    wt: 8:   Chapter 14 Limits and Continuity with and sans Decimals
  290.    wt: 8:   Chapter 10 Describing and Changing Calculations
  291.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  292.    wt: 8:   Chapter 2 For and Against Mathematics
  293.    wt: 8:   Postscript C Consistency as a Tool for Reason
  294.    wt: 8:   Chapter 24 Direct and Indirect Reason
  295.    wt: 8:   Chapter 20 Shorthand Symbols as Pronouns
  296.    wt: 8:   Chapter 19 What is in chapters 20 to 24
  297.    wt: 8:   Chapter 12 Islands and Divisions of Knowledge
  298.    wt: 8:   Chapter 9 What is in Chapters 10 to 18
  299.    wt: 8:   Chapter 7 Longer Chains of Reason
  300.    wt: 8:   Chapter 6 Chains of Reason
  301.    wt: 7:   10 statistics
  302.    wt: 7:   What is POMME
  303.    wt: 7:   three goals to set for students
  304.    wt: 7:   permissions for teachers
  305.    wt: 7:   About site lesson plans
  306.    wt: 7:   teacher certification
  307.    wt: 7:   learning takes time
  308.    wt: 7:   grouping students according to ability
  309.    wt: 7:   mathematics in context
  310.    wt: 7:   Education Reform Inconsistencies
  311.    wt: 7:   mathematics curriculum shifts
  312.    wt: 7:   Lessening Algebra Difficulties
  313.    wt: 7:   the trouble with algebra
  314.    wt: 7:   05 13 OldSiteEntrancePage
  315.    wt: 7:   04 29 New Mathematics Curriculum
  316.    wt: 7:   04 25 when to stop or suspend mathemat
  317.    wt: 7:   formal or informal peer review
  318.    wt: 7:   Four ways to improve education reform
  319.    wt: 7:   How to be a better instructor
  320.    wt: 7:   Motivation and Context Problem
  321.    wt: 7:   Prequel In For A Penny In For A Pound
  322.    wt: 7:   fairness and inductive principles for instruction
  323.    wt: 7:   words for mathematics instructor
  324.    wt: 7:   chapitre 12 00 les iles et division
  325.    wt: 7:   chapitre 04 06 engagements
  326.    wt: 7:   chapitre 04 05 Implication versus suggestion
  327.    wt: 7:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  328.    wt: 7:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  329.    wt: 7:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  330.    wt: 7:   Ages 12 to 14 Skills with take home value
  331.    wt: 7:   Ages 12 to 14 Arithmetic
  332.    wt: 7:   Ages 10 to 12 Arithmetic
  333.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
  334.    wt: 7:   17 Function maxima minima and their location
  335.    wt: 7:   11 Function Domain Range Source and Targets
  336.    wt: 7:   7 arcsin left inverse of sine Definition
  337.    wt: 7:   3 Left Inverse of cosine arccos definition
  338.    wt: 7:   12 From Applied To Pure Mathematics
  339.    wt: 7:   9 Head to Tail Coordinate View
  340.    wt: 7:   Vector and Complex Number Applet
  341.    wt: 7:   27 Logarithmic use of products of sines and cosines
  342.    wt: 7:   26 Formulas for products of sines and cosines
  343.    wt: 7:   17G Pythagorean Theorem Converse
  344.    wt: 7:   17E Trig Formulas for dot and cross Products
  345.    wt: 7:   17A The complex number valued trig function cis
  346.    wt: 7:   12 Graph of tangent function for one period
  347.    wt: 7:   9 Graphs of sine and cosine over one period
  348.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  349.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  350.    wt: 7:   21 Logarithms Powers and Exponentials
  351.    wt: 7:   12 cis formulas for sine cosines and tangent
  352.    wt: 7:   11 sine and cosine double triple angle formulas
  353.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  354.    wt: 7:   7 Second Way to Calculate Products
  355.    wt: 7:   5 An Easy Proof of the Distributive Law
  356.    wt: 7:   3 Addition Properties
  357.    wt: 7:   7 Trignometric Ratios Unit Circle
  358.    wt: 7:   1 Angle Measurement with Degrees
  359.    wt: 7:   8 Mid Point Formula
  360.    wt: 7:   6 Intersection of lines by solving linear systems
  361.    wt: 7:   4 Equations for lines three forms
  362.    wt: 7:   4 Side Side Side
  363.    wt: 7:   A Signed Number Arithmetic Review
  364.    wt: 7:   24 Signed Numbers Arithmmetic Properties
  365.    wt: 7:   23 Distributive Law Two Derivations
  366.    wt: 7:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  367.    wt: 7:   18 Geometrically Why Vector Addition Commutes
  368.    wt: 7:   17 Arrows Rotate to Reverse with Length Unchanged
  369.    wt: 7:   16 Collinear Horizontal Arrows Vectors
  370.    wt: 7:   11 Signed Number Addition and Addition Properties
  371.    wt: 7:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  372.    wt: 7:   8 Division and Mulplication of Compound Fractions
  373.    wt: 7:   5 Fractions with Infinite Decimal Expansions
  374.    wt: 7:   4 Location of Point in Decimal Addition
  375.    wt: 7:   1 Fractions with Finite Decimal Expansions
  376.    wt: 7:   E Long Division Methods more
  377.    wt: 7:   D Long Division Methods
  378.    wt: 7:   5 Distributive Law for Whole Numbers
  379.    wt: 7:   12 Real Number Additive Inverses or Negatives
  380.    wt: 7:   7 Real Numbers as Line Cordinates
  381.    wt: 7:   1 Whole and Natural Numbers
  382.    wt: 7:   11 Volume of Sphere
  383.    wt: 7:   9 Volume of Cone
  384.    wt: 7:   10 Set View of Wordy Extensions To Arithmetic
  385.    wt: 7:   7 Cautious or Safe Set Construction
  386.    wt: 7:   3 Counting with Sets etc
  387.    wt: 7:   6 Three Notions of What is a Variable
  388.    wt: 7:   5 Talking about Numbers and Quantities
  389.    wt: 7:   4 A Brief Story of numbers and algebra
  390.    wt: 7:   3 Adding Words To Arithmetic
  391.    wt: 7:   2 What is a Variable
  392.    wt: 7:   2 More and Less Than with Unlike Signs
  393.    wt: 7:   5 Common Divisors 60 45 via Prime
  394.    wt: 7:   12 GCD 2700 288 via Prime
  395.    wt: 7:   4 signed coordinates for regions in space
  396.    wt: 7:   D Three Term Ratios
  397.    wt: 7:   22 Complex Compound Fractions
  398.    wt: 7:   20 Dividing Fractions the Why
  399.    wt: 7:   19 Dividing Fractions How TO
  400.    wt: 7:   18 Efficient Ways to Multiply
  401.    wt: 7:   6 Multiplication of Mixed Numbers
  402.    wt: 7:   11 Adding Integers Formulas and Examples
  403.    wt: 7:   3 Adding Movements with same direction
  404.    wt: 7:   Formula Evaluation how to show work
  405.    wt: 7:   015 School and work day counting tables
  406.    wt: 7:   014 Counting Days with Calendars
  407.    wt: 7:   010 Repeated Addition of Time Intervals
  408.    wt: 7:   2 Time and Date Matters in School
  409.    wt: 7:   A Related Material in Volume 3
  410.    wt: 7:   26 Chain Rule Recognising outer inner functions
  411.    wt: 7:   21 Chain Rule for powers
  412.    wt: 7:   20 Chain Rule for Pulley Systems
  413.    wt: 7:   18 Chain Rule Introduction
  414.    wt: 7:   10 Power rule for negative integers
  415.    wt: 7:   9 Reciprocal rule
  416.    wt: 7:   7 Evaluation by immediate or delayed substitution
  417.    wt: 7:   Postscript One Sided and Intermediate Value Theorems
  418.    wt: 7:   G.1 First Fundamental Theorem of Calculus
  419.    wt: 7:   G.2 Differentiable Functions Mean Value Theorem
  420.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  421.    wt: 7:   B3 Bolzano Weierstrass Theorem
  422.    wt: 7:   Postscript Pythagorean Theorem yet another proof
  423.    wt: 7:   Chapter 24 Logarithms Powers and Exponentials
  424.    wt: 7:   Chapter 18. Slopes Areas Integration
  425.    wt: 7:   Chapter 3. Slope Sign Analysis
  426.    wt: 7:   Fall 1983 Calculus Appetizer
  427.    wt: 7:   Chapter 29 Contrapositive and Vacuously True Implications
  428.    wt: 7:   Chapter 25. Mathematical Induction Examples
  429.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  430.    wt: 7:   Postscript B More on Story Telling and Reason
  431.    wt: 7:   Chapter 23 Truth Tables
  432.    wt: 7:   Chapter 21 Occurrence Tables
  433.    wt: 7:   Chapter 18 Sense and Knowledge
  434.    wt: 7:   V Reasons and Motivations for Logic and Mathematics
  435.    wt: 7:   Helping the Blind in Logic and Mathematics
  436.    wt: 7:   Mathematics Education References
  437.    wt: 7:   Mathematics Education References
  438.    wt: 7:   Ends Values Methods For Skill Development Framework Prequel
  439.    wt: 7:   Multiple Ways to Improve Mathematics Skill Development
  440.    wt: 7:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  441.    wt: 6:   which way to go
  442.    wt: 6:   activities for students
  443.    wt: 6:   links Education Resources online
  444.    wt: 6:   site eurekas
  445.    wt: 6:   key notes and themes
  446.    wt: 6:   modern education
  447.    wt: 6:   teaching tips
  448.    wt: 6:   What to Tell Students
  449.    wt: 6:   02 21 words for teachers
  450.    wt: 6:   cultivating intelligence
  451.    wt: 6:   chapitre 05 00 Deception
  452.    wt: 6:   chapitre 04 02 Deuxieme enigme
  453.    wt: 6:   chapitre 04 01 Premiere enigme
  454.    wt: 6:   chapitre 01 00 Introduction
  455.    wt: 6:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  456.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  457.    wt: 6:   Ages 12 to 14 Geometry
  458.    wt: 6:   Ages 10 to 12 Geometry
  459.    wt: 6:   Ages 3 plus to 4 plus
  460.    wt: 6:   6 Set Existence Formation and Notation
  461.    wt: 6:   5 Function notation for geometric transformations
  462.    wt: 6:   4 Function notation in and beyond mathematics
  463.    wt: 6:   3 Formula or function graphing exercise
  464.    wt: 6:   5 Polynomials Long division Nonlinear divisor
  465.    wt: 6:   4 Polynomials Long division linear divisor
  466.    wt: 6:   2 Column Multiplication Method
  467.    wt: 6:   1 Polynomials Distributive Law
  468.    wt: 6:   2 cosine function more properties
  469.    wt: 6:   1 cosine function properties
  470.    wt: 6:   8 Parallel Vectors
  471.    wt: 6:   4 Resultant of a Sum of Movements
  472.    wt: 6:   28 Expressing products of sines cosines as sums
  473.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  474.    wt: 6:   17F Law of cosines
  475.    wt: 6:   8 period of tangent function
  476.    wt: 6:   7 period of sine and cosine
  477.    wt: 6:   1 Unit Points Reflections Rotations
  478.    wt: 6:   Unit Circle Development of Trigonometry
  479.    wt: 6:   16 References and Originality Question
  480.    wt: 6:   15 Pythagorean Theorem Converse
  481.    wt: 6:   13 Trig Formulas for dot and cross Products
  482.    wt: 6:   2 Complex Numbers made easier we hope
  483.    wt: 6:   Why Trigonometry the whyslopes view
  484.    wt: 6:   Four Simple Exercises
  485.    wt: 6:   12 Links Lessons elsewhere
  486.    wt: 6:   22 Multiplication of Signed Numbers
  487.    wt: 6:   21 Addition of Multiples of a Single Vector
  488.    wt: 6:   12 Real Numbers Line Signed Coordinates
  489.    wt: 6:   9 Division with Digits after Decimal Point
  490.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  491.    wt: 6:   2 Counting Digits in Decimal Multiplication
  492.    wt: 6:   1 The Counting Origins of Numbers
  493.    wt: 6:   16 Real Numbers Comparison
  494.    wt: 6:   14 Real Number Multiplication
  495.    wt: 6:   13 Real Number Subtraction
  496.    wt: 6:   11 Real Number Addition
  497.    wt: 6:   10 Real Number Lengths and Signs
  498.    wt: 6:   9 Coordinates for Regions in Space
  499.    wt: 6:   5 Rational Numbers More
  500.    wt: 6:   4 Rational Numbers
  501.    wt: 6:   3 Fractions
  502.    wt: 6:   More Exercises
  503.    wt: 6:   Simple Exercises
  504.    wt: 6:   6 Power Set Notation
  505.    wt: 6:   4 Subset Builder Notation
  506.    wt: 6:   2 Venn Diagrams
  507.    wt: 6:   6 GCD from Prime
  508.    wt: 6:   9 subtracting signed numbers
  509.    wt: 6:   6 adding signed numbers
  510.    wt: 6:   5 lengths and signs of numbers
  511.    wt: 6:   21 Working With Signs
  512.    wt: 6:   D Remainders Modulo 11 Pair Rule
  513.    wt: 6:   13 Subtraction with Additive Inverse
  514.    wt: 6:   6 Multiplication by Natural Numbers
  515.    wt: 6:   Quick history of numbers and algebra
  516.    wt: 6:   Expression Evaluation how to show work
  517.    wt: 6:   013 Travel Time Tables
  518.    wt: 6:   012 Division of Time Intervals by Time Intervals
  519.    wt: 6:   7 Addition of Time Intervals
  520.    wt: 6:   5 Conversion Arithmetic
  521.    wt: 6:   4 Mixing and Changing Units of Time
  522.    wt: 6:   3 Units and Lengths of Time
  523.    wt: 6:   4 Definite Integrals Evaluation Exercises
  524.    wt: 6:   3 Two Chain Rule Method Exercises
  525.    wt: 6:   1 Chain Rule in Reverse Integration Method
  526.    wt: 6:   A Related lessons in Volume 3
  527.    wt: 6:   4 Second derivative test exercise example
  528.    wt: 6:   3 Second derivative test
  529.    wt: 6:   2 Second derivative test prequel
  530.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  531.    wt: 6:   11 Quotient rule
  532.    wt: 6:   6 Power rule from product rule
  533.    wt: 6:   5 Product Rule
  534.    wt: 6:   4 Sum Rule
  535.    wt: 6:   8 Four Animated Examples
  536.    wt: 6:   2 Algebraic codification
  537.    wt: 6:   G.2 Lipshitz Conditions Integration Calculus Reform
  538.    wt: 6:   F.3 Intermediate Value Theorem
  539.    wt: 6:   F.1 What Functions are Continuous
  540.    wt: 6:   E2 Algebraic Properties of Limits
  541.    wt: 6:   C Triangle Inequalities
  542.    wt: 6:   Chapter 21 Arrow Addition
  543.    wt: 6:   Chapter 16. Velocity Approximation
  544.    wt: 6:   Chapter 15. Slope Approximation
  545.    wt: 6:   Chapter 13. Acceleration
  546.    wt: 6:   Chapter 9 About First Courses in Calculus
  547.    wt: 6:   Chapter 8. Slope Interpretation
  548.    wt: 6:   Chapter 6. Slopes and Vertical Shifts
  549.    wt: 6:   Chapter 4. More Slope Sign Analysis
  550.    wt: 6:   Chapter 2. Slopes and Ski Trails
  551.    wt: 6:   Appendix E. How To Study Mathematics and Why
  552.    wt: 6:   Appendix A. Reading Guide For Next Appendices
  553.    wt: 6:   Chapter 20. Degrees and Radians
  554.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  555.    wt: 6:   Postscript What is a Variable
  556.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  557.    wt: 6:   Chapter 7 Prep for Calculus Arithmetic Exercises
  558.    wt: 6:   Chapter 6 Change of Language
  559.    wt: 6:   Chapter 3 Chains of Reason
  560.    wt: 6:   Annotated Links to Material Elsehwere
  561.    wt: 6:   Chapter 3 Algebra Difficulties
  562.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  563.    wt: 6:   Postscript A Story Telling
  564.    wt: 6:   Chapter 15 Objective Processes
  565.    wt: 6:   Chapter 10 Responsibility
  566.    wt: 6:   Chapter 5 Deception
  567.    wt: 6:   Chapter 2 Skill Development
  568.    wt: 6:   Chapter 1 Introduction
  569.    wt: 6:   Three Remarks
  570.    wt: 6:   P Exact Arithmetic With Whole Numbers and Fractions
  571.    wt: 6:   Implementation Notes
  572.    wt: 5:   why bother
  573.    wt: 5:   website reviews
  574.    wt: 5:   site origins
  575.    wt: 5:   Postscript 2007 01 10
  576.    wt: 5:   three difficulties
  577.    wt: 5:   Theory of Knowledge
  578.    wt: 5:   problemes algebre et arithmetique
  579.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  580.    wt: 5:   17 Math Booklets for children and young teenagers
  581.    wt: 5:   13 Addition and Addition Tables
  582.    wt: 5:   12 Goals and Objectives For Mathematics
  583.    wt: 5:   5 Patience Please for Yourself and Your Charges
  584.    wt: 5:   Ages 9 to 10
  585.    wt: 5:   Ages 8 to 9
  586.    wt: 5:   Ages 7 to 8
  587.    wt: 5:   Ages 6 to 7
  588.    wt: 5:   Ages 4 plus to 5 plus
  589.    wt: 5:   22 Square Root function graphically
  590.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  591.    wt: 5:   20 Interchanging coordinates a reflection
  592.    wt: 5:   19 Horizontal line rule and method
  593.    wt: 5:   18 Vertical Line Rule and Method
  594.    wt: 5:   16 Increasing or decreasing on intervals
  595.    wt: 5:   8 Set view of relations and functions
  596.    wt: 5:   2 Algebraic use of function notation
  597.    wt: 5:   Rewriting algebraic substitution as function substitutions
  598.    wt: 5:   15 Dot and Cross Product
  599.    wt: 5:   11 Component Method
  600.    wt: 5:   6 Vectors with Coordinates
  601.    wt: 5:   2 Signed Coordinates
  602.    wt: 5:   1 Unsigned Coordinates
  603.    wt: 5:   14 Law of cosines
  604.    wt: 5:   9 The complex number valued trig function cis
  605.    wt: 5:   8 Unit Circle Development of Trigonometry
  606.    wt: 5:   4 Multiplication Properties
  607.    wt: 5:   About Folder Contents
  608.    wt: 5:   musings do not puiblish real numbers
  609.    wt: 5:   15 Real Number Division
  610.    wt: 5:   6 Unsigned Real Numbers
  611.    wt: 5:   8 Sets of Numbers
  612.    wt: 5:   5 Product Builder Notation
  613.    wt: 5:   1 Finite Sets
  614.    wt: 5:   1 Three Skills For Algebra
  615.    wt: 5:   10 dividing signed numbers
  616.    wt: 5:   8 multiplying signed numbers
  617.    wt: 5:   12 Adding Integers More Examples
  618.    wt: 5:   10 Integer Multiplication Formulas
  619.    wt: 5:   5 Zero Movement and Additive Inverses
  620.    wt: 5:   1 Integers as Coordinates
  621.    wt: 5:   The 12 Times Table Visually
  622.    wt: 5:   011 Division of Time Intervals By Numbers
  623.    wt: 5:   6 How long is a million seconds
  624.    wt: 5:   1 Intro of Kids To Time Date Skills
  625.    wt: 5:   5 Area Under Curve Exercise
  626.    wt: 5:   11 Limits at infinity Three Examples
  627.    wt: 5:   6 Continuity at a point
  628.    wt: 5:   5 Jumps and absence of unlimited error control
  629.    wt: 5:   4 Numerical properties
  630.    wt: 5:   G.6 Bounded Derivatives implies Lipshitz Continuity
  631.    wt: 5:   G.3 Constant Difference Theorem Proof
  632.    wt: 5:   G.1 Differentiable Functions Rolles Theorem
  633.    wt: 5:   F.5b Extreme Value Theorem
  634.    wt: 5:   F.5a Equicontinuity Theorems
  635.    wt: 5:   F.2 Closed Range Theorem
  636.    wt: 5:   E1 Error Control Inequalities
  637.    wt: 5:   B1 Pigeon Hole Principles from combinatorics
  638.    wt: 5:   A1. Introduction
  639.    wt: 5:   Chapter 23 Links To Trigonometry
  640.    wt: 5:   Chapter 20 Vectors and Complex Numbers
  641.    wt: 5:   Chapter 12. Units and Slopes
  642.    wt: 5:   Chapter 11. Graphing Slope versus Position
  643.    wt: 5:   Chapter 10 Slopes and Units
  644.    wt: 5:   Chapter 7 Slopes and Velocity
  645.    wt: 5:   Appendix D. What to do in School and Why
  646.    wt: 5:   Chapter 31 Direct and Indirect Reason
  647.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
  648.    wt: 5:   Chapter 26 What is in chapters 27 to 31
  649.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  650.    wt: 5:   Chapter 22. Geometric Sums and Sequences
  651.    wt: 5:   Chapter 19. Functions and Sets
  652.    wt: 5:   Chapter 18. Rules for Algebra
  653.    wt: 5:   Chapter 15. Solving Linear Equations
  654.    wt: 5:   Postscript Unifying Theme A Fourth Skill For Algebra
  655.    wt: 5:   Chapter 12. Shorthand Usage Guide
  656.    wt: 5:   Chapter 8 Three Skills For Algebra
  657.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  658.    wt: 5:   Chapter 4 Longer Chains of Reason
  659.    wt: 5:   Postscript B Mathematics Education References
  660.    wt: 5:   Chapter 7 Two Treatments of Geometry
  661.    wt: 5:   Foreword
  662.    wt: 5:   O On Learning Mathematics and Science
  663.    wt: 5:   Which Way To Go
  664.    wt: 4:   E Wire Resistance Calculation03
  665.    wt: 4:   A Wire Resistance Qualitative01
  666.    wt: 4:   24 Standards For Skill Develoment Take II
  667.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  668.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  669.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  670.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  671.    wt: 4:   18 Primary School Mathematics
  672.    wt: 4:   16 Secondary Mathematics Tips
  673.    wt: 4:   14 Multiplication and Times Tables
  674.    wt: 4:   4 Learning Takes Time and Effort
  675.    wt: 4:   3 Preparing for Science Studies
  676.    wt: 4:   15 Sign analysis of functions
  677.    wt: 4:   10 Interval Notation
  678.    wt: 4:   9 Set theory term relation possible origins
  679.    wt: 4:   1 Geometric Introduction of Function Notation
  680.    wt: 4:   8 Notes for instructors or tutors
  681.    wt: 4:   7 Links Lessons Elsewhere
  682.    wt: 4:   13 Velocity Vectors in Physics
  683.    wt: 4:   20 N th Roots of Complex Numbers
  684.    wt: 4:   19 N th Roots of Unity
  685.    wt: 4:   18 Sixth Roots of Unity
  686.    wt: 4:   17 Cube Roots of unity
  687.    wt: 4:   6 Field Properties of Complex Number
  688.    wt: 4:   19 Signed Multiples of Vectors
  689.    wt: 4:   2 Integers
  690.    wt: 4:   About Folder Contents
  691.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  692.    wt: 4:   8 Multiplication by Signed Numbers Integers
  693.    wt: 4:   7 Multiplication by Signs
  694.    wt: 4:   4 Adding Movements wiht opposite directions
  695.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  696.    wt: 4:   The 20 Times Table
  697.    wt: 4:   About folder contents
  698.    wt: 4:   2 Indefinite Integrals Exercises
  699.    wt: 4:   10 Three one sided limits with infinite values
  700.    wt: 4:   9 Limits Continuity and Composition
  701.    wt: 4:   3 Decimal insights for limits continuity convergence
  702.    wt: 4:   1 Numerical introduction
  703.    wt: 4:   G.5 Motions With Bounded Velocities
  704.    wt: 4:   G.4 Lipschitz Continuity implies EquiContinuity
  705.    wt: 4:   F.4 Finite Covering Theorem
  706.    wt: 4:   D2 Limits of Monotone Sequences
  707.    wt: 4:   Chapter 22 Complex Numbers
  708.    wt: 4:   Chapter 5. Slope Sign Tests
  709.    wt: 4:   Chapter 1.Introduction
  710.    wt: 4:   Postscript More on Better Performance
  711.    wt: 4:   Postscript For Better Performance
  712.    wt: 4:   Appendix C. How to Read
  713.    wt: 4:   Appendix B. How To Learn
  714.    wt: 4:   Chapter 30 Truth Tables
  715.    wt: 4:   Chapter 28 Occurrence Tables
  716.    wt: 4:   Chapter 23. Notation For Sums
  717.    wt: 4:   Chapter 21. Third Reading Guide
  718.    wt: 4:   Chapter 16. Painless Theorem Proving
  719.    wt: 4:   Chapter 13. Second Reading Guide
  720.    wt: 4:   Chapter 11. Why Shorthand
  721.    wt: 4:   Solutions For Arithmetic Exercises
  722.    wt: 4:   Chapter 1 Introduction to Chapters 2 to 6
  723.    wt: 4:   Postscript A Three Remarks
  724.    wt: 4:   Chapter 12 Four Phases
  725.    wt: 4:   Chapter 11 Elementary Instruction
  726.    wt: 4:   Chapter 10 Transition
  727.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  728.    wt: 4:   S Adding words to algebra
  729.    wt: 4:   R Why Learn Mathematics Skills
  730.    wt: 4:   N Mathematics Prepare for College Studies
  731.    wt: 4:   N Improving Marks on Tests and Finals
  732.    wt: 4:   I. Logic and language skills
  733.    wt: 4:   D. Check work a must with a caution
  734.    wt: 4:   Talking pdf files for online lessons a webvideo alternative
  735.    wt: 3:   Trois Notions qui menent a algebre
  736.    wt: 3:   deux definitions pour variable
  737.    wt: 3:   2 Conductance Resistance Duality02
  738.    wt: 3:   1 Conductance Resistance Duality01
  739.    wt: 3:   F Wire Resistance Calculation04
  740.    wt: 3:   D Wire Resistance Calculation02
  741.    wt: 3:   C Wire Resistance Calculation01
  742.    wt: 3:   B Wire Resistance Qualitative02
  743.    wt: 3:   3 Like resistors in parallel
  744.    wt: 3:   24 Standards For Skill Develoment
  745.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  746.    wt: 3:   22 Student Centered Highschool Mathematics
  747.    wt: 3:   11 Help and Defend Your Child or Teens Education
  748.    wt: 3:   9 Streaming by Student Cooperation
  749.    wt: 3:   8 The Effect of Negative Remarks
  750.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  751.    wt: 3:   2 Reading and Writing Skills
  752.    wt: 3:   26 Function definitions done and coming
  753.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  754.    wt: 3:   13 From one to one to many to one
  755.    wt: 3:   12 Function Domain Recognition Exercises
  756.    wt: 3:   7 Functions with finite domains
  757.    wt: 3:   Introduction Reading Guide
  758.    wt: 3:   B Integer Long Division Multiple Choices
  759.    wt: 3:   9 Multiplying Integers
  760.    wt: 3:   Foreword
  761.    wt: 3:   Chapter 9 The Two Ends
  762.    wt: 3:   Chapter 8 Modern Instruction
  763.    wt: 3:   Chapter 5 Four References
  764.    wt: 3:   Chapter 1 Introduction
  765.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  766.    wt: 3:   M Words to extend arithmetic
  767.    wt: 3:   L Skills with take home value
  768.    wt: 3:   H Jigsaw puzzles and problem solving
  769.    wt: 3:   G. Written work formats for developing and showing skill
  770.    wt: 3:   F. The student teacher tutor feedback loop
  771.    wt: 3:   C. Domino effect of being careful
  772.    wt: 3:   A. Skill has to be seen to believed
  773.    wt: 3:   Road Safety Questions
  774.    wt: 2:   liens
  775.    wt: 2:   3 Energy Power Heat08
  776.    wt: 2:   2 Unlike resistors in parallel01
  777.    wt: 2:   B Electromotive force conventional current01
  778.    wt: 2:   Home Tutoring and Home Schooling
  779.    wt: 2:   15 Counting For Parents
  780.    wt: 2:   10 Ends values for work study instruction
  781.    wt: 2:   7 Student Motivation
  782.    wt: 2:   1 Speaking Skills
  783.    wt: 2:   23 Inverse Functions
  784.    wt: 2:   14 Surjections Injections Bijections
  785.    wt: 2:   Foreword
  786.    wt: 2:   Foreword
  787.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  788.    wt: 2:   J. More on written work and showing skill
  789.    wt: 2:   E. When and how to correct errors
  790.    wt: 2:   How to Build Skills and Confidence
  791.    wt: 2:   The Math Forum and Site Content
  792.    wt: 1:   problemes responses
  793.    wt: 1:   logique deux enigme
  794.    wt: 1:   4 Energy Power Heat09
  795.    wt: 1:   2 Energy Power Heat07
  796.    wt: 1:   1 Energy Power Heat06
  797.    wt: 1:   C Energy Power03
  798.    wt: 1:   A Energy Power01
  799.    wt: 1:   E Kirchoffs Second Law
  800.    wt: 1:   D Kirchoff First Law
  801.    wt: 1:   C Electromotive force conventional current02
  802.    wt: 1:   A Circuit Elements
  803.    wt: 1:   H more Routine to non routine problem solving
  804.    wt: 1:   B. Domino effect of errors
  805.    wt: 18:   3 Harder Cases Convert to Compare and Subtract
  806.    wt: 17:   Parallel Lines and Parallel Transversals
  807.    wt: 17:   13 Pythagorean spatial distance formulas
  808.    wt: 17:   5 Cartesian Addition and Translation
  809.    wt: 16:   Parallel Lines and Alternating Corresponding Angles
  810.    wt: 16:   10 Pythagorean plane distance formula
  811.    wt: 16:   3 Rectangular Coordinates Review
  812.    wt: 16:   Appendix 1 Decimals Comparison Method Take II
  813.    wt: 16:   1 Comparison and Subtraction Easy Direct Cases
  814.    wt: 16:   3. How to add with decimals A sans conversions
  815.    wt: 15:   Proportionality of Line Segments From Parallel Transversals
  816.    wt: 15:   Construction Methods and Criteria for Isometric and Similar Triangles
  817.    wt: 15:   6 Polar Multiplication and Rotation
  818.    wt: 15:   1 Cartesian Coordinates sans signs
  819.    wt: 15:   3 Gaussian Elimination 3 unknowns first example
  820.    wt: 15:   3 GE III Equation Addition and Multiplication
  821.    wt: 15:   A Elementary Basis for Multiplication Methods
  822.    wt: 15:   Video Decimal Multiplication Geometric View Example 2
  823.    wt: 15:   Video Decimal Multiplication Geometric View Example 2
  824.    wt: 15:   Appendix 2 Three Decimal Subtraction Methods
  825.    wt: 15:   2 Subtraction Easy Case Examples
  826.    wt: 15:   7 Adding decimal fractions using decimal point
  827.    wt: 14:   3 Natural Logarithms and Exponentials Basic Properties
  828.    wt: 14:   9 Summary Degrees to Radians and back
  829.    wt: 14:   7 Radian Measures in special Triangles
  830.    wt: 14:   4 Circle Sector Area proportional to Central Angle
  831.    wt: 14:   2 Radian Measure Numerical Value of one degree
  832.    wt: 14:   Parallel Lines and Interior Angles
  833.    wt: 14:   12 Spatial Coordinates
  834.    wt: 14:   9 Pythagorean Theorem Chinese Square Proof
  835.    wt: 14:   8 Distance Between Points on a Line
  836.    wt: 14:   4 Polar Coordinates to and from
  837.    wt: 14:   2 Cartesian Coordinates with signs
  838.    wt: 14:   3 Lengths and Areas on Maps and Plans
  839.    wt: 14:   A Decimals Modular and Remainder Arithmetic
  840.    wt: 14:   Long Division forwards and backwards Example 3
  841.    wt: 14:   Long Division forwards and backwards Example 2
  842.    wt: 14:   Long Division forwards and backwards Example 1
  843.    wt: 14:   Video Power Notation in Decimal Expansion
  844.    wt: 14:   Subtraction with J Conversions Example
  845.    wt: 14:   Subtraction Another Video Lesson
  846.    wt: 14:   7 Subtraction for Decimal Fractions with Exercises
  847.    wt: 14:   4 Subtraction with Conversions Borrows and Letter J
  848.    wt: 14:   8 What skills and work habits to require
  849.    wt: 14:   6. Counting and adding units and mixed units
  850.    wt: 14:   5. How to add decimals C. Examples
  851.    wt: 14:   1. Explaining Addition Table
  852.    wt: 14:   Example 1. Area Between x and x squared
  853.    wt: 14:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  854.    wt: 13:   8 quadratics backward use of various formulas
  855.    wt: 13:   8 Radian Measures of Common Angles
  856.    wt: 13:   3 Circle Arclengh Proportional to Central Angle
  857.    wt: 13:   2 Graphing y=Af(x) Vertical Scaling
  858.    wt: 13:   SAS Method For Isometric Or Proportional Triangle Construction
  859.    wt: 13:   11 Triangle Inequality
  860.    wt: 13:   7 Complex Numbers Appetizer
  861.    wt: 13:   1 Decimals Modular and Remainder Arithmetic
  862.    wt: 13:   9 Circle Area and Perimeter Formula Backwards Forwards
  863.    wt: 13:   5 Gaussian Elimination for 3 unknowns 2nd example
  864.    wt: 13:   3 Solving triangular system example
  865.    wt: 13:   3 Two Examples
  866.    wt: 13:   3 Triangle Area Formula Example
  867.    wt: 13:   2 Another Rectangle Area Formula Example
  868.    wt: 13:   15 Remainder Arithmetic Modulo 9 Example
  869.    wt: 13:   14 Remainder Arithmetic Modulo 9 Example
  870.    wt: 13:   13 Remainder Arithmetic Modulo 5 Example
  871.    wt: 13:   12 Remainder Arithmetic Modulo 10 Example
  872.    wt: 13:   8 Remainder Arithmetic Morulo 5 Examples II
  873.    wt: 13:   7 Remainder Arithmetic Modulo 5 Examples I
  874.    wt: 13:   D Decimal Multiplication Methods Derived
  875.    wt: 13:   5 Decimal Fraction Multiplication
  876.    wt: 13:   8 Subtraction with Units of Measure
  877.    wt: 13:   6 Subtraction with Conversion Example with Exercises
  878.    wt: 13:   5 A Tip for Efficent Subtraction
  879.    wt: 13:   Appendix 1 Counting Revisited 15 minute video
  880.    wt: 13:   4. How to add with decimals B with conversions
  881.    wt: 13:   2 Decimal Counting Practices
  882.    wt: 13:   11 Place Value SI Standard International way
  883.    wt: 13:   Chapter 6 More Algebra and Geometry
  884.    wt: 13:   Chapter 4 Logic for Reading Writing and Geometry etc
  885.    wt: 13:   Chapter 3 Algebra Starter Lessons
  886.    wt: 13:   Primary and Secondary Skills and Practices with Take Home Value
  887.    wt: 12:   Appendix 1 primary and preschool mathematic
  888.    wt: 12:   chapitre 03 A Propos Des Prochains Chapitre
  889.    wt: 12:   6 quadratics numerical approach
  890.    wt: 12:   6 Radian Measure to Degrees
  891.    wt: 12:   5 Degrees to Radian Measure
  892.    wt: 12:   1 Degrees and Radians Introduction
  893.    wt: 12:   Triangle Angles Sum To 180 Degrees
  894.    wt: 12:   14 Straight Lines Equations General Case
  895.    wt: 12:   3 Straight Lines Slope as Tangent of Inclination Angle
  896.    wt: 12:   13 Navigation Location from Angles to 2 Landmarks
  897.    wt: 12:   4 Angles on Maps Plans drawn to scale
  898.    wt: 12:   3 Inequalities Algebraically
  899.    wt: 12:   4 Rates Ratios and Proporitionality
  900.    wt: 12:   3 Proportionality Examples
  901.    wt: 12:   4 Rectangle Area and Like Formulas Backwards
  902.    wt: 12:   2 More and Less Than for Counts and Measures
  903.    wt: 12:   4 GE III Animated Examples
  904.    wt: 12:   6 Pythagorean Hypotenuse Calculation Example
  905.    wt: 12:   C Equality for Fractions and Two Term Ratios and Fractions
  906.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  907.    wt: 12:   8 Numerals Fractionals Quantals Take II
  908.    wt: 12:   16 Remainder Arithmetic Modulo 9 Example 2
  909.    wt: 12:   11 Remainder Arithmetic Long Division by 5 Quickly more
  910.    wt: 12:   10 Remainder Arithmetic Long Division by 5 Quickly
  911.    wt: 12:   9 Remainder Arithmetic Divisibility by 5
  912.    wt: 12:   6 Remainder Arithmetic Modulo 5 Propertie
  913.    wt: 12:   4 Remainder Arithmetic Modulo 10 in general
  914.    wt: 12:   7 Calculator Usage Notes and Cautions
  915.    wt: 12:   5 Prime Factorization and a Square Rule
  916.    wt: 12:   3 video Primes and Composites from 9 times table
  917.    wt: 12:   C Counting Areas with Powers of Ten
  918.    wt: 12:   6 Multiplication Commutes Order Not Important
  919.    wt: 12:   3 More One Digit Multipliers
  920.    wt: 12:   9 22 Minute Subtraction Review Video
  921.    wt: 12:   Area Between Crossing Curves Lesson Take 2
  922.    wt: 12:   Area Between Crossing Curves Lesson Take 1
  923.    wt: 12:   Area Between Curves Lesson Take 2
  924.    wt: 12:   Area Between Curves Lesson Take 1
  925.    wt: 12:   Chapter 7 Calculus Previews and Calculus Lightly
  926.    wt: 12:   5 Interpreting and Drawing Maps and Plans.
  927.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  928.    wt: 12:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  929.    wt: 12:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  930.    wt: 11:   Appendix 2 primary school Arithmetic 01
  931.    wt: 11:   C LAMP Introduction Culture in Mathematics Education
  932.    wt: 11:   Ramblings Introduction Algebra Essay
  933.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  934.    wt: 11:   A Quadratics Summary
  935.    wt: 11:   9 quadratics physical and further context
  936.    wt: 11:   7 quadratic formulla derivation
  937.    wt: 11:   5 quadratics completing the square
  938.    wt: 11:   3 quadratics factoring by inspection
  939.    wt: 11:   2 quadratics graphing in general
  940.    wt: 11:   5 Natural Logarithm Calculator Exercises
  941.    wt: 11:   4 graphing y=Asin(x c)
  942.    wt: 11:   3 graphing y=f(x c) plus K
  943.    wt: 11:   1 graphing y=f(x a)
  944.    wt: 11:   Analytic View of Triangle Construction or Line Instersection More
  945.    wt: 11:   Straight Lines ASA Intersection Study More
  946.    wt: 11:   Straight Lines ASA Intersection Study
  947.    wt: 11:   6 Tangent Function Inclination Angle Take 2
  948.    wt: 11:   29 secant cosecant and cotangent for acute angles
  949.    wt: 11:   5 Trigonometric Ratios For Tangent and Special Triangles
  950.    wt: 11:   7 Translations Rotations Reflections Dilatations
  951.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  952.    wt: 11:   PS D Addition with Cartesian Coordinates
  953.    wt: 11:   PS B Parallelogram Construction Methods
  954.    wt: 11:   16 Angles Subtended By Chords and Diameters
  955.    wt: 11:   3 Isometry of Triangles Congruence
  956.    wt: 11:   5 Drawing to Scale Avoids Angle Distortions
  957.    wt: 11:   4 Fraction Operations Axiomatic Development
  958.    wt: 11:   5 Proportionality in Equivalent Fractions
  959.    wt: 11:   8 Pythagorean Relation Forwards Backwards
  960.    wt: 11:   5 Triangle Area Formula Backwards
  961.    wt: 11:   2 Addition and Multiplication Axioms
  962.    wt: 11:   5 Greater More Less Than Signs in General
  963.    wt: 11:   3 More and Less Than with Unlike Signs
  964.    wt: 11:   3 Geometric Formulas and Function Notation
  965.    wt: 11:   4 Solving a triangular system exercise
  966.    wt: 11:   6 Algebraic Solution Example
  967.    wt: 11:   4 Four Examples Fractional Coefficients
  968.    wt: 11:   3 Four Examples
  969.    wt: 11:   10 One Example
  970.    wt: 11:   9 Three Examples
  971.    wt: 11:   8 One Example
  972.    wt: 11:   7 Two Examples
  973.    wt: 11:   6 Three Examples
  974.    wt: 11:   5 Three Examples
  975.    wt: 11:   4 Two Examples
  976.    wt: 11:   2 Three Examples
  977.    wt: 11:   4 Circle Area Formula Example
  978.    wt: 11:   7 Numerals Fractionals Quantals
  979.    wt: 11:   6 Multiplication Algebraically Take II
  980.    wt: 11:   Fraction Operations by Raising Terms A Simple Innovation
  981.    wt: 11:   23 Remainder Arithmetic Modulo 2
  982.    wt: 11:   22 Remainder Arithmetic Modulo 3 more
  983.    wt: 11:   21 Remainder Arithmetic Modulo 3
  984.    wt: 11:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  985.    wt: 11:   19 Remainder Arithmetic Rule of 9 for checking sums III
  986.    wt: 11:   18 Remainder Arithmetic Rule of 9 for checking sums II
  987.    wt: 11:   17 Remainder Arithmetic Rule of 9 for checking sums I
  988.    wt: 11:   5 Remainder Arithmetic Modulo 5
  989.    wt: 11:   3 Remainder Arithmetic Modulos 10 more still
  990.    wt: 11:   2 Remainder Arithmetic Modulo 10 more
  991.    wt: 11:   1 Remainder Arithmetic Modulo 10
  992.    wt: 11:   18 video Count Factors given Prime Factorization
  993.    wt: 11:   15 video Factors of 20 using Prime Factorization
  994.    wt: 11:   10 video Prime Factorization upto 23 squared
  995.    wt: 11:   9 video Prime Factorization upto 19 squared
  996.    wt: 11:   1 video how Products are bigger than factor
  997.    wt: 11:   Long Division Backwards more
  998.    wt: 11:   Long Division Backward
  999.    wt: 11:   6 Why Decimal Long Division Methods Works Take I
  1000.    wt: 11:   3 Division Single Digit Divisor Example
  1001.    wt: 11:   4 Two and Three Digit Multipliers
  1002.    wt: 11:   9 Place Value Review Decimal form of Avogrados number included
  1003.    wt: 11:   Example 1 volume of a pyramid
  1004.    wt: 11:   A Chain Rule Real Player video examples
  1005.    wt: 11:   38 Formulas and derivatives for powers and roots
  1006.    wt: 11:   33 Chain Rule Real Player video examples
  1007.    wt: 11:   Chapter 4 Implication Rules Forwards and Backwards
  1008.    wt: 11:   Appendix A Calculus with Proofs for Keen or Gifted
  1009.    wt: 11:   Chapter 1 Arithmetic
  1010.    wt: 11:   6 Measuring via counting or arithmetic the role of fractions
  1011.    wt: 11:   4 Money Matters Saving Earning Buying Selling and Budgets
  1012.    wt: 11:   3 Telling Tracking Time Temporal and More Place Sense
  1013.    wt: 11:   2 Identifying Size and Position Place and Spatial Sense
  1014.    wt: 10:   E LAMP Introduction Modern Mathematics
  1015.    wt: 10:   B LAMP Introduction Curriculum Development Standards
  1016.    wt: 10:   Skills Chapter 3 Algebra
  1017.    wt: 10:   Skills Chapter 1 Arithmetic
  1018.    wt: 10:   8 analytic geometry etc
  1019.    wt: 10:   7 logic review and decimals an odd combination
  1020.    wt: 10:   5 logarithms and exponentials etc
  1021.    wt: 10:   3 Euclidean Geometry Leanly
  1022.    wt: 10:   Applied Maths Program14092009 POMME variant
  1023.    wt: 10:   teaching tutoring algebraic reason
  1024.    wt: 10:   chapitre 07 00 Des chaines plus longues de la raison
  1025.    wt: 10:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  1026.    wt: 10:   sign monoticity analysis example 4
  1027.    wt: 10:   sign monoticity analysis example 3
  1028.    wt: 10:   sign monoticity analysis example 2
  1029.    wt: 10:   sign monoticity analysis example 1
  1030.    wt: 10:   4 quadratics difference of two squares
  1031.    wt: 10:   1 quadratics graphing exercises
  1032.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1033.    wt: 10:   16 cotangent function Definition Graph and Inverse
  1034.    wt: 10:   15 cosecant function Definition Graph and Inverse
  1035.    wt: 10:   11 arctan left inverse of tangent Graph
  1036.    wt: 10:   7 Coordinate Addition and Scalar Multiplication
  1037.    wt: 10:   Straight Lines Instersection Solving Equations
  1038.    wt: 10:   Straight Lines Intersection of
  1039.    wt: 10:   D Straight Lines Slope from Coordinates Examples
  1040.    wt: 10:   A Straight Line Slope Scaling Properties
  1041.    wt: 10:   13 Straight Lines Finding Equations from 2 points
  1042.    wt: 10:   12 Straight Lines Graphing mx plus b
  1043.    wt: 10:   11 Straight Lines Graphing y=mx
  1044.    wt: 10:   10 Straight Lines through Origin Equations More
  1045.    wt: 10:   9 Straight Lines through Origin Equations
  1046.    wt: 10:   8 Straight Lines Equation for vertical
  1047.    wt: 10:   35 sines and cosines of 2A 3A 4A 5A
  1048.    wt: 10:   34 sines and cosines of 2A 3A 4A 5A
  1049.    wt: 10:   33 sines and cosines of 2A 3A 4A 5A
  1050.    wt: 10:   31 basic secant cosecant cotangent trig identities
  1051.    wt: 10:   18 sum of sinusoidal waves as a single wave
  1052.    wt: 10:   10 Similarity of Triangles Equivalent of Two Criteria
  1053.    wt: 10:   9 Similarity of Triangles Usual Criteria
  1054.    wt: 10:   6 Geometric Diagrams in Class
  1055.    wt: 10:   5 Similarity of Circles Squares and Rectangles
  1056.    wt: 10:   3 Similarity by Design with coordinates
  1057.    wt: 10:   11 A Partial Summary
  1058.    wt: 10:   PS E Multiplication with Polar Coordinates
  1059.    wt: 10:   21 Parallelograms
  1060.    wt: 10:   18 Triangle Similarity Take 1
  1061.    wt: 10:   14 Parallel Lines Postulate
  1062.    wt: 10:   13 Angle Side Angle Failure
  1063.    wt: 10:   6 Ruler and compass Angle Bisection
  1064.    wt: 10:   8 More Use of Maps Not Drawn to Scale
  1065.    wt: 10:   2 Measuring Area Directly
  1066.    wt: 10:   A Modular and Remainder Arithmetic
  1067.    wt: 10:   25 Mid way Convergence to Axiomatic Approach
  1068.    wt: 10:   15 Head to Tails in place Addition Associative
  1069.    wt: 10:   B Decimal Comparison and Subtraction
  1070.    wt: 10:   A Decimal Addition Columm Methods
  1071.    wt: 10:   7 Decimals Multiplication Methods Examples
  1072.    wt: 10:   5 Areas of Rectangles Revisited
  1073.    wt: 10:   2 Fraction Operations Physical Development
  1074.    wt: 10:   2 Algebraic View
  1075.    wt: 10:   1 What is Proportionality
  1076.    wt: 10:   6 Equations and Systems Equivalent or Implied
  1077.    wt: 10:   5 Equality in Algebra
  1078.    wt: 10:   4 Subtraction and Division Axioms
  1079.    wt: 10:   4 Comparison of Negative Numbers
  1080.    wt: 10:   1 Real Numbers Comparison
  1081.    wt: 10:   2 GE II Comparison
  1082.    wt: 10:   1 GE Substitution four examples
  1083.    wt: 10:   5 Algebraic Solutions Introduction
  1084.    wt: 10:   1 Proper Equal Sign Usage
  1085.    wt: 10:   Skill Development Notes
  1086.    wt: 10:   8 Compound Interest Formula Evaluation
  1087.    wt: 10:   1 Squares and Square Roots Introduction
  1088.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1089.    wt: 10:   3 signed coordinates for maps and planes
  1090.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  1091.    wt: 10:   1 Addition and Subtraction with Units
  1092.    wt: 10:   17 Efficient Ways to Add and Subtract
  1093.    wt: 10:   16 Addition Subtraction Comparision Compared
  1094.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  1095.    wt: 10:   14 Adding and Subtracting with Like Denominators
  1096.    wt: 10:   13 Fraction Comparison Algebraic View
  1097.    wt: 10:   11 Simplification an Algebraic View
  1098.    wt: 10:   10 Simplification of Fractions and Mixed Numerals
  1099.    wt: 10:   3 Unit fraction of a fraction
  1100.    wt: 10:   1 What is a fraction Take II
  1101.    wt: 10:   19 video Prime Factorization Unique
  1102.    wt: 10:   14 video Factors of 24 Take II
  1103.    wt: 10:   8 video Prime Factorization upto 19
  1104.    wt: 10:   6 Sieve of Eratosthenes and Square Rule
  1105.    wt: 10:   4 video Prime Factorization Introduction
  1106.    wt: 10:   Division with Counts and Length
  1107.    wt: 10:   11 Another Single Digit Divisor Example
  1108.    wt: 10:   10 Division by Five Long and Short Ways
  1109.    wt: 10:   7 Long Divison Mistake Catching
  1110.    wt: 10:   1 Divsion Physical Examples
  1111.    wt: 10:   B Powers of Ten
  1112.    wt: 10:   2 One Digit Multipliers
  1113.    wt: 10:   1 Why 3 times 5 gives 15
  1114.    wt: 10:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  1115.    wt: 10:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  1116.    wt: 10:   5 More on Groups of 3 Place Value in Decimal Fractions
  1117.    wt: 10:   4 Groups of 3 Place Value in Decimal Fractions
  1118.    wt: 10:   3 More on Groups of 3 Multi Digit Place Value
  1119.    wt: 10:   Practical Methods Ends and Values for Arithmetic
  1120.    wt: 10:   Example 2 volume of a cone
  1121.    wt: 10:   Example 4 with x function of y
  1122.    wt: 10:   Example 3
  1123.    wt: 10:   Example 2
  1124.    wt: 10:   Example 1
  1125.    wt: 10:   36 Cube root derivative animated
  1126.    wt: 10:   28 Chain Rule Preparation for a Proof
  1127.    wt: 10:   25 Chain Rule Animated Examples Continued
  1128.    wt: 10:   24 Chain Rule Animated Examples
  1129.    wt: 10:   7 Animated Differentiation Examples
  1130.    wt: 10:   Chapter 22 Contrapositive and Vacuously True Implications
  1131.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
  1132.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
  1133.    wt: 10:   Chapter 8 Skipped Topics and Why
  1134.    wt: 10:   Chapter 2 Why Sets
  1135.    wt: 10:   1 From Number Recognition and Counting to Arithmetic A
  1136.    wt: 10:   More Algebra and Slope based Calculus Preview
  1137.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1138.    wt: 10:   Phase 1. Basics Skills with clear take home value 5 to 6 years
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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