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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79 matches:

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

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329 matches:

  1.    wt: 7:   chapitre 12 00 les iles et division
  2.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
  3.    wt: 4:   chapitre 04 00 Les regles d implication
  4.    wt: 3:   chapitre 04 09 Regles accidentelles
  5.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  6.    wt: 2:   8 analytic geometry etc
  7.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  8.    wt: 2:   chapitre 06 00 Chaines de la raison
  9.    wt: 2:   chapitre 05 00 Deception
  10.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  11.    wt: 2:   chapitre 04 08 Limitations et benefices
  12.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  13.    wt: 2:   chapitre 02 00 La Communication des idees
  14.    wt: 2:   chapitre 01 00 Introduction
  15.    wt: 2:   problemes algebre et arithmetique
  16.    wt: 2:   Ages 12 to 14 Geometry
  17.    wt: 2:   Ages 12 to 14 Arithmetic
  18.    wt: 2:   Ages 10 to 12 Geometry
  19.    wt: 2:   Ages 10 to 12 Arithmetic
  20.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  21.    wt: 2:   Appetizer A Complex Number Applet
  22.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  23.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  24.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  25.    wt: 2:   12 Triangles Similarity More Problems
  26.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  27.    wt: 2:   12 Links Lessons elsewhere
  28.    wt: 2:   16 Angles Subtended By Chords and Diameters
  29.    wt: 2:   8 Isoceles Triangles
  30.    wt: 2:   3 Isometry of Triangles Congruence
  31.    wt: 2:   2 Correspondence between Triangles
  32.    wt: 2:   E Long Division Methods more
  33.    wt: 2:   D Long Division Methods
  34.    wt: 2:   7 Decimals Multiplication Methods Examples
  35.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  36.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  37.    wt: 2:   3 Counting with Sets etc
  38.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  39.    wt: 2:   12 GCD 2700 288 via Prime
  40.    wt: 2:   12 Adding Integers More Examples
  41.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  42.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  43.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  44.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  45.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  46.    wt: 2:   12 Why Long Division Works Take III
  47.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  48.    wt: 2:   Exact Arithmetic Wholes and Fractions
  49.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  50.    wt: 2:   012 Division of Time Intervals by Time Intervals
  51.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  52.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  53.    wt: 2:   Area Between Curves Lesson Take 2
  54.    wt: 2:   Area Between Curves Lesson Take 1
  55.    wt: 2:   12 Quotient rule examples
  56.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  57.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  58.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  59.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  60.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  61.    wt: 1:   Appendix 2 primary school Arithmetic 01
  62.    wt: 1:   Skills Chapter 2 Geometry
  63.    wt: 1:   Skills Chapter 1 Arithmetic
  64.    wt: 1:   9 combinatorics probability sets
  65.    wt: 1:   6 polynomials etc
  66.    wt: 1:   5 logarithms and exponentials etc
  67.    wt: 1:   3 Euclidean Geometry Leanly
  68.    wt: 1:   2 arithmetic with signed numbers
  69.    wt: 1:   1 arithmetic with unsigned numbers
  70.    wt: 1:   three goals to set for students
  71.    wt: 1:   Applied Maths Program14092009 POMME variant
  72.    wt: 1:   About site lesson plans
  73.    wt: 1:   Postscript 2007 01 10
  74.    wt: 1:   how letters appear
  75.    wt: 1:   geometric implications for algebra
  76.    wt: 1:   Lessening Algebra Difficulties
  77.    wt: 1:   How to be a better instructor
  78.    wt: 1:   fairness and inductive principles for instruction
  79.    wt: 1:   chapitre 07 01 principle D induction mathematique
  80.    wt: 1:   chapitre 04 06 engagements
  81.    wt: 1:   chapitre 04 05 Implication versus suggestion
  82.    wt: 1:   chapitre 04 04 Parlons de la logique
  83.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  84.    wt: 1:   chapitre 04 02 Deuxieme enigme
  85.    wt: 1:   chapitre 04 01 Premiere enigme
  86.    wt: 1:   17 Math Booklets for children and young teenagers
  87.    wt: 1:   14 Multiplication and Times Tables
  88.    wt: 1:   13 Addition and Addition Tables
  89.    wt: 1:   12 Goals and Objectives For Mathematics
  90.    wt: 1:   Ages 12 to 14 Skills with take home value
  91.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  92.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  93.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  94.    wt: 1:   19 Horizontal line rule and method
  95.    wt: 1:   18 Vertical Line Rule and Method
  96.    wt: 1:   12 Function Domain Recognition Exercises
  97.    wt: 1:   11 Function Domain Range Source and Targets
  98.    wt: 1:   9 Set theory term relation possible origins
  99.    wt: 1:   8 Set view of relations and functions
  100.    wt: 1:   6 Set Existence Formation and Notation
  101.    wt: 1:   5 Function notation for geometric transformations
  102.    wt: 1:   1 Geometric Introduction of Function Notation
  103.    wt: 1:   5 quadratics completing the square
  104.    wt: 1:   7 Links Lessons Elsewhere
  105.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  106.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  107.    wt: 1:   4 Polynomials Long division linear divisor
  108.    wt: 1:   2 Column Multiplication Method
  109.    wt: 1:   12 motivation for term arctan
  110.    wt: 1:   8 Radian Measures of Common Angles
  111.    wt: 1:   7 Radian Measures in special Triangles
  112.    wt: 1:   12 From Applied To Pure Mathematics
  113.    wt: 1:   11 Component Method
  114.    wt: 1:   10 Parallelogram Addition Method
  115.    wt: 1:   Vector and Complex Number Applet
  116.    wt: 1:   Triangle Angles Sum To 180 Degrees
  117.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  118.    wt: 1:   Parallel Lines and Interior Angles
  119.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  120.    wt: 1:   12 Straight Lines Graphing mx plus b
  121.    wt: 1:   30 unit circle calculation of six trigonometric functions
  122.    wt: 1:   29 secant cosecant and cotangent for acute angles
  123.    wt: 1:   12 Graph of tangent function for one period
  124.    wt: 1:   2 Quadrant I reference Angles
  125.    wt: 1:   Unit Circle Development of Trigonometry
  126.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  127.    wt: 1:   12 cis formulas for sine cosines and tangent
  128.    wt: 1:   8 Unit Circle Development of Trigonometry
  129.    wt: 1:   8 Triangles Cascade Problem Solving
  130.    wt: 1:   7 Trignometric Ratios Unit Circle
  131.    wt: 1:   3 Trigonometric Ratios sine and cosine
  132.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  133.    wt: 1:   Why Trigonometry the whyslopes view
  134.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  135.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  136.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  137.    wt: 1:   9 Similarity of Triangles Usual Criteria
  138.    wt: 1:   8 Similarity of Triangles and Polygons
  139.    wt: 1:   6 Geometric Diagrams in Class
  140.    wt: 1:   12 Spatial Coordinates
  141.    wt: 1:   8 Distance Between Points on a Line
  142.    wt: 1:   7 Complex Numbers Appetizer
  143.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  144.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  145.    wt: 1:   PS B Parallelogram Construction Methods
  146.    wt: 1:   PS A Kite Construction Methods
  147.    wt: 1:   12 Side Angle Side Failure
  148.    wt: 1:   Short Course on Euclidean Geometry
  149.    wt: 1:   4 Angles on Maps Plans drawn to scale
  150.    wt: 1:   A Modular and Remainder Arithmetic
  151.    wt: 1:   A Signed Number Arithmetic Review
  152.    wt: 1:   26 More Less Greater Than Comparison
  153.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  154.    wt: 1:   21 Addition of Multiples of a Single Vector
  155.    wt: 1:   19 Signed Multiples of Vectors
  156.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  157.    wt: 1:   12 Real Numbers Line Signed Coordinates
  158.    wt: 1:   9 Division with Digits after Decimal Point
  159.    wt: 1:   8 Division and Mulplication of Compound Fractions
  160.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  161.    wt: 1:   C Three Decimal Subtraction Methods
  162.    wt: 1:   A Decimal Addition Columm Methods
  163.    wt: 1:   8 Column Multiplication Methods in General
  164.    wt: 1:   6 Column Methods for Decimal Multiplication
  165.    wt: 1:   3 Multiplicative Counting Skills Principles
  166.    wt: 1:   2 Combing Counts Addition Skills and Principles
  167.    wt: 1:   5 Areas of Rectangles Revisited
  168.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  169.    wt: 1:   3 Proportionality Examples
  170.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  171.    wt: 1:   4 Subtraction and Division Axioms
  172.    wt: 1:   1 Equivalent Computation Rules
  173.    wt: 1:   5 Greater More Less Than Signs in General
  174.    wt: 1:   3 More and Less Than with Unlike Signs
  175.    wt: 1:   2 More and Less Than for Counts and Measures
  176.    wt: 1:   15 Real Number Division
  177.    wt: 1:   12 Real Number Additive Inverses or Negatives
  178.    wt: 1:   5 Independent versus Dependent Variables
  179.    wt: 1:   4 Changing Letters
  180.    wt: 1:   3 Geometric Formulas and Function Notation
  181.    wt: 1:   2 Computation Rules Evaluation
  182.    wt: 1:   4 GE III Animated Examples
  183.    wt: 1:   1 GE Substitution four examples
  184.    wt: 1:   4 Four Examples Fractional Coefficients
  185.    wt: 1:   3 Four Examples
  186.    wt: 1:   2 Three Examples
  187.    wt: 1:   9 Three Examples
  188.    wt: 1:   7 Two Examples
  189.    wt: 1:   6 Three Examples
  190.    wt: 1:   5 Three Examples
  191.    wt: 1:   4 Two Examples
  192.    wt: 1:   3 Two Examples
  193.    wt: 1:   2 Three Examples
  194.    wt: 1:   Using Letters for Physical Quantities
  195.    wt: 1:   9 Sets in Probability and Statistics
  196.    wt: 1:   8 Sets of Numbers
  197.    wt: 1:   7 Cautious or Safe Set Construction
  198.    wt: 1:   6 Power Set Notation
  199.    wt: 1:   4 Subset Builder Notation
  200.    wt: 1:   1 Finite Sets
  201.    wt: 1:   3 Adding Words To Arithmetic
  202.    wt: 1:   arithmetic videos Real Player Format
  203.    wt: 1:   4 Greater More Less Than Signs in General
  204.    wt: 1:   2 More and Less Than with Unlike Signs
  205.    wt: 1:   1 More and Less Than for Counts and Measures
  206.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  207.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  208.    wt: 1:   2 Least Common Multiple LCM intro via list method
  209.    wt: 1:   1 Least Common Multiples LCM Introduction
  210.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  211.    wt: 1:   3 Counting with Tables and Trees II
  212.    wt: 1:   2 Counting with Tables and Trees I
  213.    wt: 1:   1 Counting and Counting Methods I
  214.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  215.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  216.    wt: 1:   21 Reciprocals for Fractions and Wholes
  217.    wt: 1:   12 Fraction Comparison
  218.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  219.    wt: 1:   B Integer Long Division Multiple Choices
  220.    wt: 1:   11 Adding Integers Formulas and Examples
  221.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  222.    wt: 1:   23 Remainder Arithmetic Modulo 2
  223.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  224.    wt: 1:   21 Remainder Arithmetic Modulo 3
  225.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  226.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  227.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  228.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  229.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  230.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  231.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  232.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  233.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  234.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  235.    wt: 1:   5 Remainder Arithmetic Modulo 5
  236.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  237.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  238.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  239.    wt: 1:   1 Remainder Arithmetic Modulo 10
  240.    wt: 1:   12 LCD GCD and LCM using Primes
  241.    wt: 1:   2 Prime and Composites less than 16
  242.    wt: 1:   Long Division Backwards more
  243.    wt: 1:   Long Division Backward
  244.    wt: 1:   Division with Counts and Length
  245.    wt: 1:   Long Division forwards and backwards Example 3
  246.    wt: 1:   Long Division forwards and backwards Example 2
  247.    wt: 1:   Long Division forwards and backwards Example 1
  248.    wt: 1:   10 Division by Five Long and Short Ways
  249.    wt: 1:   9 Why Long Division Works Take II
  250.    wt: 1:   5 Long Division Include Zeroes or not
  251.    wt: 1:   4 Division with 2 Digit Divsors
  252.    wt: 1:   3 Division Single Digit Divisor Example
  253.    wt: 1:   2 Division with Single Digit Divisors
  254.    wt: 1:   1 Divsion Physical Examples
  255.    wt: 1:   D Decimal Multiplication Methods Derived
  256.    wt: 1:   A Elementary Basis for Multiplication Methods
  257.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  258.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  259.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  260.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  261.    wt: 1:   Subtraction Another Video Lesson
  262.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  263.    wt: 1:   2 Subtraction Easy Case Examples
  264.    wt: 1:   5. How to add decimals C. Examples
  265.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  266.    wt: 1:   The 12 Times Table Visually
  267.    wt: 1:   015 School and work day counting tables
  268.    wt: 1:   013 Travel Time Tables
  269.    wt: 1:   011 Division of Time Intervals By Numbers
  270.    wt: 1:   5 Conversion Arithmetic
  271.    wt: 1:   Volume of Solid by Cross Sections Lesson
  272.    wt: 1:   Example 1. Area Between x and x squared
  273.    wt: 1:   3 Two Chain Rule Method Exercises
  274.    wt: 1:   1 Chain Rule in Reverse Integration Method
  275.    wt: 1:   A Related lessons in Volume 3
  276.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  277.    wt: 1:   A Chain Rule Real Player video examples
  278.    wt: 1:   33 Chain Rule Real Player video examples
  279.    wt: 1:   25 Chain Rule Animated Examples Continued
  280.    wt: 1:   24 Chain Rule Animated Examples
  281.    wt: 1:   7 Animated Differentiation Examples
  282.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  283.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  284.    wt: 1:   11 Limits at infinity Three Examples
  285.    wt: 1:   8 Four Animated Examples
  286.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  287.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  288.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  289.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  290.    wt: 1:   Chapter 23 Links To Trigonometry
  291.    wt: 1:   Chapter 12. Units and Slopes
  292.    wt: 1:   Chapter 8. Slope Interpretation
  293.    wt: 1:   Fall 1983 Calculus Appetizer
  294.    wt: 1:   Postscript More on Better Performance
  295.    wt: 1:   Postscript For Better Performance
  296.    wt: 1:   Chapter 30 Truth Tables
  297.    wt: 1:   Chapter 28 Occurrence Tables
  298.    wt: 1:   Chapter 25. Mathematical Induction Examples
  299.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  300.    wt: 1:   Chapter 19. Functions and Sets
  301.    wt: 1:   Chapter 18. Rules for Algebra
  302.    wt: 1:   Chapter 16. Painless Theorem Proving
  303.    wt: 1:   Chapter 12. Shorthand Usage Guide
  304.    wt: 1:   Solutions For Arithmetic Exercises
  305.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  306.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  307.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  308.    wt: 1:   Chapter 12 Four Phases
  309.    wt: 1:   Chapter 7 Two Treatments of Geometry
  310.    wt: 1:   Chapter 23 Truth Tables
  311.    wt: 1:   Chapter 21 Occurrence Tables
  312.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  313.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  314.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  315.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  316.    wt: 1:   M Words to extend arithmetic
  317.    wt: 1:   H Jigsaw puzzles and problem solving
  318.    wt: 1:   Chapter 6 More Algebra and Geometry
  319.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  320.    wt: 1:   Chapter 3 Algebra Starter Lessons
  321.    wt: 1:   Chapter 2 Why Sets
  322.    wt: 1:   Chapter 1 Arithmetic
  323.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  324.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  325.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  326.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  327.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  328.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  329.    wt: 1:   Road Safety Questions

Extended Search

1121 matches:

  1.    wt: 9:   chapitre 07 01 principle D induction mathematique
  2.    wt: 9:   chapitre 04 06 engagements
  3.    wt: 9:   chapitre 04 05 Implication versus suggestion
  4.    wt: 9:   chapitre 04 04 Parlons de la logique
  5.    wt: 9:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  6.    wt: 9:   chapitre 04 02 Deuxieme enigme
  7.    wt: 9:   chapitre 04 01 Premiere enigme
  8.    wt: 9:   6 Why Decimal Long Division Methods Works Take I
  9.    wt: 8:   Long Division forwards and backwards Example 3
  10.    wt: 8:   Long Division forwards and backwards Example 2
  11.    wt: 8:   10 Division by Five Long and Short Ways
  12.    wt: 8:   9 Why Long Division Works Take II
  13.    wt: 8:   5 Long Division Include Zeroes or not
  14.    wt: 8:   4 Division with 2 Digit Divsors
  15.    wt: 8:   3 Division Single Digit Divisor Example
  16.    wt: 8:   2 Division with Single Digit Divisors
  17.    wt: 8:   1 Divsion Physical Examples
  18.    wt: 8:   Area Between Crossing Curves Lesson Take 1
  19.    wt: 8:   Area Between Curves Lesson Take 2
  20.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  21.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  22.    wt: 7:   Appetizer A Complex Number Applet
  23.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  24.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  25.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  26.    wt: 7:   Why Trigonometry the whyslopes view
  27.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  28.    wt: 7:   12 Triangles Similarity More Problems
  29.    wt: 7:   12 Links Lessons elsewhere
  30.    wt: 7:   16 Angles Subtended By Chords and Diameters
  31.    wt: 7:   12 Side Angle Side Failure
  32.    wt: 7:   8 Isoceles Triangles
  33.    wt: 7:   3 Isometry of Triangles Congruence
  34.    wt: 7:   2 Correspondence between Triangles
  35.    wt: 7:   Short Course on Euclidean Geometry
  36.    wt: 7:   3 Counting with Sets etc
  37.    wt: 7:   Long Division Backwards more
  38.    wt: 7:   Long Division Backward
  39.    wt: 7:   Division with Counts and Length
  40.    wt: 7:   Long Division forwards and backwards Example 1
  41.    wt: 7:   11 Another Single Digit Divisor Example
  42.    wt: 7:   8 Correcting the Mistake
  43.    wt: 7:   7 Long Divison Mistake Catching
  44.    wt: 7:   D Decimal Multiplication Methods Derived
  45.    wt: 7:   A Elementary Basis for Multiplication Methods
  46.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  47.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  48.    wt: 7:   Appendix 2 Three Decimal Subtraction Methods
  49.    wt: 7:   Appendix 1 Decimals Comparison Method Take II
  50.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  51.    wt: 7:   2 Subtraction Easy Case Examples
  52.    wt: 7:   5. How to add decimals C. Examples
  53.    wt: 7:   Volume of Solid by Cross Sections Lesson
  54.    wt: 7:   Area Between Crossing Curves Lesson Take 2
  55.    wt: 7:   Area Between Curves Lesson Take 1
  56.    wt: 7:   Summary
  57.    wt: 7:   12 Quotient rule examples
  58.    wt: 6:   12 motivation for term arctan
  59.    wt: 6:   2 cosine function more properties
  60.    wt: 6:   12 From Applied To Pure Mathematics
  61.    wt: 6:   Vector and Complex Number Applet
  62.    wt: 6:   4 graphing y=Asin(x c)
  63.    wt: 6:   3 graphing y=f(x c) plus K
  64.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  65.    wt: 6:   1 graphing y=f(x a)
  66.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  67.    wt: 6:   30 unit circle calculation of six trigonometric functions
  68.    wt: 6:   29 secant cosecant and cotangent for acute angles
  69.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  70.    wt: 6:   2 Quadrant I reference Angles
  71.    wt: 6:   Unit Circle Development of Trigonometry
  72.    wt: 6:   12 cis formulas for sine cosines and tangent
  73.    wt: 6:   8 Triangles Cascade Problem Solving
  74.    wt: 6:   7 Trignometric Ratios Unit Circle
  75.    wt: 6:   3 Trigonometric Ratios sine and cosine
  76.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  77.    wt: 6:   12 Spatial Coordinates
  78.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  79.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  80.    wt: 6:   PS B Parallelogram Construction Methods
  81.    wt: 6:   PS A Kite Construction Methods
  82.    wt: 6:   4 Angles on Maps Plans drawn to scale
  83.    wt: 6:   E Long Division Methods more
  84.    wt: 6:   D Long Division Methods
  85.    wt: 6:   7 Decimals Multiplication Methods Examples
  86.    wt: 6:   5 Greater More Less Than Signs in General
  87.    wt: 6:   3 More and Less Than with Unlike Signs
  88.    wt: 6:   2 More and Less Than for Counts and Measures
  89.    wt: 6:   10 Set View of Wordy Extensions To Arithmetic
  90.    wt: 6:   9 Sets in Probability and Statistics
  91.    wt: 6:   8 Sets of Numbers
  92.    wt: 6:   7 Cautious or Safe Set Construction
  93.    wt: 6:   6 Power Set Notation
  94.    wt: 6:   4 Subset Builder Notation
  95.    wt: 6:   1 Finite Sets
  96.    wt: 6:   4 Greater More Less Than Signs in General
  97.    wt: 6:   2 More and Less Than with Unlike Signs
  98.    wt: 6:   1 More and Less Than for Counts and Measures
  99.    wt: 6:   12 Adding Integers More Examples
  100.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  101.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  102.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  103.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  104.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  105.    wt: 6:   C Counting Areas with Powers of Ten
  106.    wt: 6:   B Powers of Ten
  107.    wt: 6:   6 Multiplication Commutes Order Not Important
  108.    wt: 6:   5 Decimal Fraction Multiplication
  109.    wt: 6:   4 Two and Three Digit Multipliers
  110.    wt: 6:   3 More One Digit Multipliers
  111.    wt: 6:   2 One Digit Multipliers
  112.    wt: 6:   Video Power Notation in Decimal Expansion
  113.    wt: 6:   1 Why 3 times 5 gives 15
  114.    wt: 6:   Subtraction with J Conversions Example
  115.    wt: 6:   Subtraction Another Video Lesson
  116.    wt: 6:   9 22 Minute Subtraction Review Video
  117.    wt: 6:   8 Subtraction with Units of Measure
  118.    wt: 6:   7 Subtraction for Decimal Fractions with Exercises
  119.    wt: 6:   6 Subtraction with Conversion Example with Exercises
  120.    wt: 6:   5 A Tip for Efficent Subtraction
  121.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  122.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  123.    wt: 6:   8 What skills and work habits to require
  124.    wt: 6:   7 Adding decimal fractions using decimal point
  125.    wt: 6:   6. Counting and adding units and mixed units
  126.    wt: 6:   4. How to add with decimals B with conversions
  127.    wt: 6:   3. How to add with decimals A sans conversions
  128.    wt: 6:   2 Decimal Counting Practices
  129.    wt: 6:   1. Explaining Addition Table
  130.    wt: 6:   012 Division of Time Intervals by Time Intervals
  131.    wt: 6:   5 Conversion Arithmetic
  132.    wt: 6:   Example 1. Area Between x and x squared
  133.    wt: 6:   Example 1
  134.    wt: 6:   3 Two Chain Rule Method Exercises
  135.    wt: 6:   1 Chain Rule in Reverse Integration Method
  136.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  137.    wt: 6:   1 Fall 1983 Why Slopes Appetizer
  138.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  139.    wt: 6:   11 Limits at infinity Three Examples
  140.    wt: 6:   8 Four Animated Examples
  141.    wt: 5:   Ages 12 to 14 Geometry
  142.    wt: 5:   Ages 12 to 14 Arithmetic
  143.    wt: 5:   16 cotangent function Definition Graph and Inverse
  144.    wt: 5:   15 cosecant function Definition Graph and Inverse
  145.    wt: 5:   14 secant function Definition Graph and Inverse
  146.    wt: 5:   13 cosecant function Definition Graph and Inverse
  147.    wt: 5:   11 arctan left inverse of tangent Graph
  148.    wt: 5:   10 arctan left inverse of tangent Definition
  149.    wt: 5:   9 motivation for name arcsin
  150.    wt: 5:   8 arcsin left inverse of sine Graph
  151.    wt: 5:   7 arcsin left inverse of sine Definition
  152.    wt: 5:   6 Graph of arccos function
  153.    wt: 5:   5 Swapping Coordinates is a reflection
  154.    wt: 5:   4 possible motivation for term arccos
  155.    wt: 5:   3 Left Inverse of cosine arccos definition
  156.    wt: 5:   1 cosine function properties
  157.    wt: 5:   8 Radian Measures of Common Angles
  158.    wt: 5:   7 Radian Measures in special Triangles
  159.    wt: 5:   2 Radian Measure Numerical Value of one degree
  160.    wt: 5:   1 Degrees and Radians Introduction
  161.    wt: 5:   11 Component Method
  162.    wt: 5:   10 Parallelogram Addition Method
  163.    wt: 5:   Triangle Angles Sum To 180 Degrees
  164.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  165.    wt: 5:   Parallel Lines and Interior Angles
  166.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  167.    wt: 5:   12 Straight Lines Graphing mx plus b
  168.    wt: 5:   28 Expressing products of sines cosines as sums
  169.    wt: 5:   27 Logarithmic use of products of sines and cosines
  170.    wt: 5:   26 Formulas for products of sines and cosines
  171.    wt: 5:   25 tangent double angle formula Slope connection
  172.    wt: 5:   24 tangent Angle Difference Formula
  173.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  174.    wt: 5:   21 sine and cosine Half Angle Formulas
  175.    wt: 5:   12 Graph of tangent function for one period
  176.    wt: 5:   3 sines and cosines for reference angle 90 degrees
  177.    wt: 5:   1 Unit Points Reflections Rotations
  178.    wt: 5:   8 Unit Circle Development of Trigonometry
  179.    wt: 5:   1 Angle Measurement with Degrees
  180.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  181.    wt: 5:   9 Similarity of Triangles Usual Criteria
  182.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  183.    wt: 5:   What is and is not here
  184.    wt: 5:   8 Distance Between Points on a Line
  185.    wt: 5:   7 Complex Numbers Appetizer
  186.    wt: 5:   PS H Distributive Law For Complex Numbers
  187.    wt: 5:   PS G Rotation Distributes over Addition
  188.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  189.    wt: 5:   PS E Multiplication with Polar Coordinates
  190.    wt: 5:   PS D Addition with Cartesian Coordinates
  191.    wt: 5:   21 Parallelograms
  192.    wt: 5:   19 Right Triangle Similarity
  193.    wt: 5:   18 Triangle Similarity Take 1
  194.    wt: 5:   17 Right Bisectors of Triangle Sides
  195.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  196.    wt: 5:   14 Parallel Lines Postulate
  197.    wt: 5:   13 Angle Side Angle Failure
  198.    wt: 5:   11 Triangle Construction Fails
  199.    wt: 5:   10 Dropping a perpendicular to line
  200.    wt: 5:   9 Construction of a right bisector
  201.    wt: 5:   7 Angle Side Angle
  202.    wt: 5:   6 Ruler and compass Angle Bisection
  203.    wt: 5:   5 Side Angle Side
  204.    wt: 5:   4 Side Side Side
  205.    wt: 5:   1 Initial Concepts and Terms
  206.    wt: 5:   A Measurement with Ruler Proper Use
  207.    wt: 5:   8 More Use of Maps Not Drawn to Scale
  208.    wt: 5:   6 Figuring with Maps Not to Scale
  209.    wt: 5:   5 Drawing to Scale Avoids Angle Distortions
  210.    wt: 5:   3 Lengths and Areas on Maps and Plans
  211.    wt: 5:   2 Measuring Area Directly
  212.    wt: 5:   1 Length Measurement
  213.    wt: 5:   C Three Decimal Subtraction Methods
  214.    wt: 5:   A Decimal Addition Columm Methods
  215.    wt: 5:   8 Column Multiplication Methods in General
  216.    wt: 5:   6 Column Methods for Decimal Multiplication
  217.    wt: 5:   3 Multiplicative Counting Skills Principles
  218.    wt: 5:   2 Combing Counts Addition Skills and Principles
  219.    wt: 5:   5 Areas of Rectangles Revisited
  220.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  221.    wt: 5:   9 Circle Area and Perimeter Formula Backwards Forwards
  222.    wt: 5:   4 Subtraction and Division Axioms
  223.    wt: 5:   1 Equivalent Computation Rules
  224.    wt: 5:   4 Comparison of Negative Numbers
  225.    wt: 5:   1 Real Numbers Comparison
  226.    wt: 5:   5 Independent versus Dependent Variables
  227.    wt: 5:   4 Changing Letters
  228.    wt: 5:   3 Geometric Formulas and Function Notation
  229.    wt: 5:   2 Computation Rules Evaluation
  230.    wt: 5:   4 GE III Animated Examples
  231.    wt: 5:   1 GE Substitution four examples
  232.    wt: 5:   4 Four Examples Fractional Coefficients
  233.    wt: 5:   3 Four Examples
  234.    wt: 5:   2 Three Examples
  235.    wt: 5:   9 Three Examples
  236.    wt: 5:   7 Two Examples
  237.    wt: 5:   6 Three Examples
  238.    wt: 5:   5 Three Examples
  239.    wt: 5:   4 Two Examples
  240.    wt: 5:   3 Two Examples
  241.    wt: 5:   2 Three Examples
  242.    wt: 5:   12 Cone Cylinder Sphere Lesson Idea
  243.    wt: 5:   5 Product Builder Notation
  244.    wt: 5:   2 Venn Diagrams
  245.    wt: 5:   3 Comparison of Negative Numbers
  246.    wt: 5:   5 Counting with Tables Trees Product Rule Take II
  247.    wt: 5:   3 Counting with Tables and Trees II
  248.    wt: 5:   2 Counting with Tables and Trees I
  249.    wt: 5:   1 Counting and Counting Methods I
  250.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  251.    wt: 5:   23 Remainder Arithmetic Modulo 2
  252.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  253.    wt: 5:   21 Remainder Arithmetic Modulo 3
  254.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  255.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  256.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  257.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  258.    wt: 5:   16 Remainder Arithmetic Modulo 9 Example 2
  259.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  260.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  261.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  262.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  263.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  264.    wt: 5:   5 Remainder Arithmetic Modulo 5
  265.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  266.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  267.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  268.    wt: 5:   1 Remainder Arithmetic Modulo 10
  269.    wt: 5:   12 LCD GCD and LCM using Primes
  270.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  271.    wt: 5:   015 School and work day counting tables
  272.    wt: 5:   013 Travel Time Tables
  273.    wt: 5:   011 Division of Time Intervals By Numbers
  274.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  275.    wt: 5:   8 Addition of Time Intervals via subtotaling
  276.    wt: 5:   7 Addition of Time Intervals
  277.    wt: 5:   6 How long is a million seconds
  278.    wt: 5:   4 Mixing and Changing Units of Time
  279.    wt: 5:   3 Units and Lengths of Time
  280.    wt: 5:   2 Time and Date Matters in School
  281.    wt: 5:   1 Intro of Kids To Time Date Skills
  282.    wt: 5:   Example 2 volume of a cone
  283.    wt: 5:   Example 1 volume of a pyramid
  284.    wt: 5:   Example 4 with x function of y
  285.    wt: 5:   Example 3
  286.    wt: 5:   Example 2
  287.    wt: 5:   A Related Material in Volume 3
  288.    wt: 5:   5 Area Under Curve Exercise
  289.    wt: 5:   4 Definite Integrals Evaluation Exercises
  290.    wt: 5:   2 Indefinite Integrals Exercises
  291.    wt: 5:   A Related lessons in Volume 3
  292.    wt: 5:   4 Second derivative test exercise example
  293.    wt: 5:   3 Second derivative test
  294.    wt: 5:   2 Second derivative test prequel
  295.    wt: 5:   A Chain Rule Real Player video examples
  296.    wt: 5:   36 Cube root derivative animated
  297.    wt: 5:   33 Chain Rule Real Player video examples
  298.    wt: 5:   28 Chain Rule Preparation for a Proof
  299.    wt: 5:   25 Chain Rule Animated Examples Continued
  300.    wt: 5:   24 Chain Rule Animated Examples
  301.    wt: 5:   18 Chain Rule Introduction
  302.    wt: 5:   15 sine and cosine derivatives 3rd step
  303.    wt: 5:   7 Animated Differentiation Examples
  304.    wt: 5:   3 Motivation for Limit Definition Take 2
  305.    wt: 5:   2 Motivation for Limit Definition Take 1
  306.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  307.    wt: 5:   9 Limits Continuity and Composition
  308.    wt: 5:   7 Evaluation by immediate or delayed substitution
  309.    wt: 5:   6 Continuity at a point
  310.    wt: 5:   5 Jumps and absence of unlimited error control
  311.    wt: 5:   4 Numerical properties
  312.    wt: 5:   3 Decimal insights for limits continuity convergence
  313.    wt: 5:   2 Algebraic codification
  314.    wt: 5:   1 Numerical introduction
  315.    wt: 4:   8 analytic geometry etc
  316.    wt: 4:   problemes algebre et arithmetique
  317.    wt: 4:   12 Goals and Objectives For Mathematics
  318.    wt: 4:   Ages 12 to 14 Skills with take home value
  319.    wt: 4:   Ages 10 to 12 Geometry
  320.    wt: 4:   Ages 10 to 12 Arithmetic
  321.    wt: 4:   Quadratics in 10 steps
  322.    wt: 4:   9 Summary Degrees to Radians and back
  323.    wt: 4:   6 Radian Measure to Degrees
  324.    wt: 4:   5 Degrees to Radian Measure
  325.    wt: 4:   4 Circle Sector Area proportional to Central Angle
  326.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  327.    wt: 4:   A Global Time and Navigation
  328.    wt: 4:   15 Dot and Cross Product
  329.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  330.    wt: 4:   13 Velocity Vectors in Physics
  331.    wt: 4:   9 Head to Tail Coordinate View
  332.    wt: 4:   8 Parallel Vectors
  333.    wt: 4:   7 Coordinate Addition and Scalar Multiplication
  334.    wt: 4:   6 Vectors with Coordinates
  335.    wt: 4:   5 Head To Tail Arrow Addition
  336.    wt: 4:   4 Resultant of a Sum of Movements
  337.    wt: 4:   3 Navigation with Arrows or Vectors
  338.    wt: 4:   2 Signed Coordinates
  339.    wt: 4:   1 Unsigned Coordinates
  340.    wt: 4:   Parallel Lines and Parallel Transversals
  341.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  342.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  343.    wt: 4:   Straight Lines ASA Intersection Study More
  344.    wt: 4:   Straight Lines ASA Intersection Study
  345.    wt: 4:   Straight Lines Instersection Solving Equations
  346.    wt: 4:   Straight Lines Intersection of
  347.    wt: 4:   C Straight Lines Slope from Coordinates
  348.    wt: 4:   B Straight Line Slope Scaling Properties More
  349.    wt: 4:   A Straight Line Slope Scaling Properties
  350.    wt: 4:   14 Straight Lines Equations General Case
  351.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  352.    wt: 4:   11 Straight Lines Graphing y=mx
  353.    wt: 4:   10 Straight Lines through Origin Equations More
  354.    wt: 4:   9 Straight Lines through Origin Equations
  355.    wt: 4:   8 Straight Lines Equation for vertical
  356.    wt: 4:   7 Tangent Function is odd on this domain
  357.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  358.    wt: 4:   5 Tangent Function Graph
  359.    wt: 4:   4 Tangent Function Properties
  360.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  361.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  362.    wt: 4:   1 Straight Lines Slope Concept
  363.    wt: 4:   17 tangent function angle sum formulas
  364.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  365.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  366.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  367.    wt: 4:   32 seven rows of pascals triangle
  368.    wt: 4:   31 basic secant cosecant cotangent trig identities
  369.    wt: 4:   20 sine and cosine Double Angle Formulas
  370.    wt: 4:   19 Pythagorean Identity For sine and cosine functions
  371.    wt: 4:   18 sum of sinusoidal waves as a single wave
  372.    wt: 4:   17G Pythagorean Theorem Converse
  373.    wt: 4:   17F Law of cosines
  374.    wt: 4:   17E Trig Formulas for dot and cross Products
  375.    wt: 4:   17D cis formulas for sine cosines and tangent
  376.    wt: 4:   17C sine and cosine double triple angle formulas
  377.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  378.    wt: 4:   17A The complex number valued trig function cis
  379.    wt: 4:   16 Right Triangle Complementary Angle Relations
  380.    wt: 4:   15 sine cosine Complementary Angle Relations
  381.    wt: 4:   14 cosine even and sine and tangent are odd
  382.    wt: 4:   13 Graph of tangent function many periods
  383.    wt: 4:   11 tangent function undefined when terminal side vertical
  384.    wt: 4:   10 Graphs of sines and cosines many periods
  385.    wt: 4:   9 Graphs of sine and cosine over one period
  386.    wt: 4:   8 period of tangent function
  387.    wt: 4:   7 period of sine and cosine
  388.    wt: 4:   6 sines and cosines for reference angle 30 degrees
  389.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  390.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  391.    wt: 4:   21 Logarithms Powers and Exponentials
  392.    wt: 4:   20 N th Roots of Complex Numbers
  393.    wt: 4:   19 N th Roots of Unity
  394.    wt: 4:   18 Sixth Roots of Unity
  395.    wt: 4:   17 Cube Roots of unity
  396.    wt: 4:   16 References and Originality Question
  397.    wt: 4:   15 Pythagorean Theorem Converse
  398.    wt: 4:   14 Law of cosines
  399.    wt: 4:   13 Trig Formulas for dot and cross Products
  400.    wt: 4:   11 sine and cosine double triple angle formulas
  401.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  402.    wt: 4:   9 The complex number valued trig function cis
  403.    wt: 4:   7 Second Way to Calculate Products
  404.    wt: 4:   6 Field Properties of Complex Number
  405.    wt: 4:   5 An Easy Proof of the Distributive Law
  406.    wt: 4:   4 Multiplication Properties
  407.    wt: 4:   3 Addition Properties
  408.    wt: 4:   2 Complex Numbers made easier we hope
  409.    wt: 4:   1 Rectangular Polar Coordinates Review
  410.    wt: 4:   11 Triangle Similarity Missing Side Problem
  411.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  412.    wt: 4:   8 Similarity of Triangles and Polygons
  413.    wt: 4:   6 Geometric Diagrams in Class
  414.    wt: 4:   4 Similarity Definition with Coordinate
  415.    wt: 4:   Four Simple Exercises
  416.    wt: 4:   11 A Partial Summary
  417.    wt: 4:   10 Midpoint of [a b] and [b a]
  418.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  419.    wt: 4:   8 Mid Point Formula
  420.    wt: 4:   7 Exercises to test skill and concept mastery
  421.    wt: 4:   6 Intersection of lines by solving linear systems
  422.    wt: 4:   5 Algebraic View of Slopes
  423.    wt: 4:   4 Equations for lines three forms
  424.    wt: 4:   3 Slope product for perpendicular lines
  425.    wt: 4:   2 point slope equation for a line
  426.    wt: 4:   1 Numerical view of lines and their equations
  427.    wt: 4:   13 Pythagorean spatial distance formulas
  428.    wt: 4:   11 Triangle Inequality
  429.    wt: 4:   10 Pythagorean plane distance formula
  430.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  431.    wt: 4:   6 Polar Multiplication and Rotation
  432.    wt: 4:   5 Cartesian Addition and Translation
  433.    wt: 4:   4 Polar Coordinates to and from
  434.    wt: 4:   3 Rectangular Coordinates Review
  435.    wt: 4:   2 Cartesian Coordinates with signs
  436.    wt: 4:   1 Cartesian Coordinates sans signs
  437.    wt: 4:   About Folder Contents
  438.    wt: 4:   A Modular and Remainder Arithmetic
  439.    wt: 4:   A Signed Number Arithmetic Review
  440.    wt: 4:   26 More Less Greater Than Comparison
  441.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  442.    wt: 4:   21 Addition of Multiples of a Single Vector
  443.    wt: 4:   19 Signed Multiples of Vectors
  444.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  445.    wt: 4:   12 Real Numbers Line Signed Coordinates
  446.    wt: 4:   9 Division with Digits after Decimal Point
  447.    wt: 4:   8 Division and Mulplication of Compound Fractions
  448.    wt: 4:   7 Arithmetic with Infinite Decimal Expansions
  449.    wt: 4:   B Decimal Comparison and Subtraction
  450.    wt: 4:   5 Distributive Law for Whole Numbers
  451.    wt: 4:   4 Commutative Law Groups Counting Form
  452.    wt: 4:   1 The Counting Origins of Numbers
  453.    wt: 4:   4 Fraction Operations Axiomatic Development
  454.    wt: 4:   3 Inequalities Algebraically
  455.    wt: 4:   2 Fraction Operations Physical Development
  456.    wt: 4:   3 Proportionality Examples
  457.    wt: 4:   8 Pythagorean Relation Forwards Backwards
  458.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  459.    wt: 4:   6 Compound Interest Forward and Backwards
  460.    wt: 4:   5 Triangle Area Formula Backwards
  461.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  462.    wt: 4:   3 Linear Equation Literal Solution More
  463.    wt: 4:   2 Linear Equation Literal Solution
  464.    wt: 4:   1 Changing Calculations
  465.    wt: 4:   6 Equations and Systems Equivalent or Implied
  466.    wt: 4:   5 Equality in Algebra
  467.    wt: 4:   3 Product Axioms Two Forms
  468.    wt: 4:   2 Addition and Multiplication Axioms
  469.    wt: 4:   15 Real Number Division
  470.    wt: 4:   12 Real Number Additive Inverses or Negatives
  471.    wt: 4:   5 Rational Numbers More
  472.    wt: 4:   4 Rational Numbers
  473.    wt: 4:   3 Fractions
  474.    wt: 4:   2 Integers
  475.    wt: 4:   1 Whole and Natural Numbers
  476.    wt: 4:   1 Formulas Dependence and Function Notation
  477.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  478.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  479.    wt: 4:   3 GE III Equation Addition and Multiplication
  480.    wt: 4:   2 GE II Comparison
  481.    wt: 4:   4 Solving a triangular system exercise
  482.    wt: 4:   3 Solving triangular system example
  483.    wt: 4:   2 Essentially one exercises three with solution
  484.    wt: 4:   1 Essentially One Unknown
  485.    wt: 4:   6 Algebraic Solution Example
  486.    wt: 4:   5 Algebraic Solutions Introduction
  487.    wt: 4:   1 Proper Equal Sign Usage
  488.    wt: 4:   Skill Development Notes
  489.    wt: 4:   10 One Example
  490.    wt: 4:   8 One Example
  491.    wt: 4:   Using Letters for Physical Quantities
  492.    wt: 4:   Formula Usage Show Work Format
  493.    wt: 4:   9 Volume of Cone
  494.    wt: 4:   8 Compound Interest Formula Evaluation
  495.    wt: 4:   7 Compound Interest Formula Introduction
  496.    wt: 4:   6 Pythagorean Hypotenuse Calculation Example
  497.    wt: 4:   5 Box Volume Formula Example
  498.    wt: 4:   4 Circle Area Formula Example
  499.    wt: 4:   3 Triangle Area Formula Example
  500.    wt: 4:   2 Another Rectangle Area Formula Example
  501.    wt: 4:   1 Written work formats for developing and showing skill
  502.    wt: 4:   4 Counting with Trees Product Rule Take I
  503.    wt: 4:   10 dividing signed numbers
  504.    wt: 4:   9 subtracting signed numbers
  505.    wt: 4:   8 multiplying signed numbers
  506.    wt: 4:   7 negative and additive inverse
  507.    wt: 4:   6 adding signed numbers
  508.    wt: 4:   5 lengths and signs of numbers
  509.    wt: 4:   4 signed coordinates for regions in space
  510.    wt: 4:   3 signed coordinates for maps and planes
  511.    wt: 4:   2 signed and unsigned numbers as coordinates
  512.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  513.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  514.    wt: 4:   21 Reciprocals for Fractions and Wholes
  515.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  516.    wt: 4:   B Integer Long Division Multiple Choices
  517.    wt: 4:   13 Subtraction with Additive Inverse
  518.    wt: 4:   11 Adding Integers Formulas and Examples
  519.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  520.    wt: 4:   26 Divisibility by 2 3 5 Example
  521.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  522.    wt: 4:   2 Prime and Composites less than 16
  523.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  524.    wt: 4:   Exact Arithmetic Wholes and Fractions
  525.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  526.    wt: 4:   016 Numbering Occidental Calendar Days
  527.    wt: 4:   014 Counting Days with Calendars
  528.    wt: 4:   010 Repeated Addition of Time Intervals
  529.    wt: 4:   38 Formulas and derivatives for powers and roots
  530.    wt: 4:   34 Derivative of exponential function
  531.    wt: 4:   31 Derivatives of inverse functions
  532.    wt: 4:   30Chain Rule A Proof
  533.    wt: 4:   29 Chain Rule Optional Reading
  534.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  535.    wt: 4:   26 Chain Rule Recognising outer inner functions
  536.    wt: 4:   23 Chain Rule in general
  537.    wt: 4:   22 Chain Rule for polynomials
  538.    wt: 4:   21 Chain Rule for powers
  539.    wt: 4:   20 Chain Rule for Pulley Systems
  540.    wt: 4:   19 Chain Rule for linear functions
  541.    wt: 4:   17 Derivatives of quotients of sine and cosine
  542.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  543.    wt: 4:   14 sine and cosine derivatives 2nd step
  544.    wt: 4:   13 sine and cosine derivatives 1st step
  545.    wt: 4:   11 Quotient rule
  546.    wt: 4:   10 Power rule for negative integers
  547.    wt: 4:   9 Reciprocal rule
  548.    wt: 4:   8 Differentiation of polynomials
  549.    wt: 4:   6 Power rule from product rule
  550.    wt: 4:   5 Product Rule
  551.    wt: 4:   4 Sum Rule
  552.    wt: 4:   10 Three one sided limits with infinite values
  553.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  554.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  555.    wt: 3:   Appendix 2 primary school Arithmetic 01
  556.    wt: 3:   Skills Chapter 2 Geometry
  557.    wt: 3:   9 combinatorics probability sets
  558.    wt: 3:   6 polynomials etc
  559.    wt: 3:   5 logarithms and exponentials etc
  560.    wt: 3:   3 Euclidean Geometry Leanly
  561.    wt: 3:   2 arithmetic with signed numbers
  562.    wt: 3:   1 arithmetic with unsigned numbers
  563.    wt: 3:   What is POMME
  564.    wt: 3:   How to be a better instructor
  565.    wt: 3:   fairness and inductive principles for instruction
  566.    wt: 3:   17 Math Booklets for children and young teenagers
  567.    wt: 3:   14 Multiplication and Times Tables
  568.    wt: 3:   13 Addition and Addition Tables
  569.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  570.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  571.    wt: 3:   sign monoticity analysis example 4
  572.    wt: 3:   sign monoticity analysis example 3
  573.    wt: 3:   sign monoticity analysis example 2
  574.    wt: 3:   sign monoticity analysis example 1
  575.    wt: 3:   12 Function Domain Recognition Exercises
  576.    wt: 3:   9 Set theory term relation possible origins
  577.    wt: 3:   8 Set view of relations and functions
  578.    wt: 3:   6 Set Existence Formation and Notation
  579.    wt: 3:   5 Function notation for geometric transformations
  580.    wt: 3:   1 Geometric Introduction of Function Notation
  581.    wt: 3:   Introduction Reading Guide
  582.    wt: 3:   A Quadratics Summary
  583.    wt: 3:   5 quadratics completing the square
  584.    wt: 3:   7 Translations Rotations Reflections Dilatations
  585.    wt: 3:   3 Similarity by Design with coordinates
  586.    wt: 3:   2 Similarity By Design
  587.    wt: 3:   1 Early Concept of Like or Similar Shapes
  588.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  589.    wt: 3:   23 Distributive Law Two Derivations
  590.    wt: 3:   22 Multiplication of Signed Numbers
  591.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  592.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  593.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  594.    wt: 3:   15 Head to Tails in place Addition Associative
  595.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  596.    wt: 3:   13 Arrows and Vectors in a Plane
  597.    wt: 3:   11 Signed Number Addition and Addition Properties
  598.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  599.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  600.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  601.    wt: 3:   4 Location of Point in Decimal Addition
  602.    wt: 3:   3 Location of Point in Decimal Multiplication
  603.    wt: 3:   2 Counting Digits in Decimal Multiplication
  604.    wt: 3:   1 Fractions with Finite Decimal Expansions
  605.    wt: 3:   5 Proportionality in Equivalent Fractions
  606.    wt: 3:   4 Rates Ratios and Proporitionality
  607.    wt: 3:   2 Algebraic View
  608.    wt: 3:   1 What is Proportionality
  609.    wt: 3:   16 Real Numbers Comparison
  610.    wt: 3:   14 Real Number Multiplication
  611.    wt: 3:   13 Real Number Subtraction
  612.    wt: 3:   11 Real Number Addition
  613.    wt: 3:   10 Real Number Lengths and Signs
  614.    wt: 3:   9 Coordinates for Regions in Space
  615.    wt: 3:   8 Coordinates for Maps and Planes
  616.    wt: 3:   7 Real Numbers as Line Cordinates
  617.    wt: 3:   6 Unsigned Real Numbers
  618.    wt: 3:   More Exercises
  619.    wt: 3:   13 Naming Identifying Formulas with Words
  620.    wt: 3:   11 Volume of Sphere
  621.    wt: 3:   10 Volume of Pyramid
  622.    wt: 3:   3 Adding Words To Arithmetic
  623.    wt: 3:   About Folder Contents
  624.    wt: 3:   3 Properties of Square Roots with example
  625.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  626.    wt: 3:   12 GCD 2700 288 via Prime
  627.    wt: 3:   11 What are real lengths and numbers
  628.    wt: 3:   7 Converting or Changing Units
  629.    wt: 3:   6 Simplification of Fractions with Units
  630.    wt: 3:   4 Fractions with Units
  631.    wt: 3:   3 Multiplying Units and Numbers
  632.    wt: 3:   2 Equality and Units
  633.    wt: 3:   1 Addition and Subtraction with Units
  634.    wt: 3:   D Three Term Ratios
  635.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  636.    wt: 3:   B Fractions and Two Term Ratios
  637.    wt: 3:   22 Complex Compound Fractions
  638.    wt: 3:   21 Working With Signs
  639.    wt: 3:   20 Dividing Fractions the Why
  640.    wt: 3:   19 Dividing Fractions How TO
  641.    wt: 3:   12 Fraction Comparison
  642.    wt: 3:   D Remainders Modulo 11 Pair Rule
  643.    wt: 3:   A Associative Law Theorectical Note
  644.    wt: 3:   10 Integer Multiplication Formulas
  645.    wt: 3:   9 Multiplying Integers
  646.    wt: 3:   8 Multiplication by Signed Numbers Integers
  647.    wt: 3:   7 Multiplication by Signs
  648.    wt: 3:   6 Multiplication by Natural Numbers
  649.    wt: 3:   5 Zero Movement and Additive Inverses
  650.    wt: 3:   4 Adding Movements wiht opposite directions
  651.    wt: 3:   3 Adding Movements with same direction
  652.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  653.    wt: 3:   1 Integers as Coordinates
  654.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  655.    wt: 3:   20 Uniqueness of Prime Factorization
  656.    wt: 3:   19 video Prime Factorization Unique
  657.    wt: 3:   18 video Count Factors given Prime Factorization
  658.    wt: 3:   17 Identify and Count Factors using Primes
  659.    wt: 3:   16 video Factors of 980 using prime
  660.    wt: 3:   15 video Factors of 20 using Prime Factorization
  661.    wt: 3:   14 video Factors of 24 Take II
  662.    wt: 3:   13 video Factors of 24 using prime
  663.    wt: 3:   11 Efficient Square Rule Use
  664.    wt: 3:   10 video Prime Factorization upto 23 squared
  665.    wt: 3:   9 video Prime Factorization upto 19 squared
  666.    wt: 3:   8 video Prime Factorization upto 19
  667.    wt: 3:   7 Calculator Usage Notes and Cautions
  668.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  669.    wt: 3:   5 Prime Factorization and a Square Rule
  670.    wt: 3:   4 video Prime Factorization Introduction
  671.    wt: 3:   3 video Primes and Composites from 9 times table
  672.    wt: 3:   1 video how Products are bigger than factor
  673.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  674.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  675.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  676.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  677.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  678.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  679.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  680.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  681.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  682.    wt: 3:   The 12 Times Table Visually
  683.    wt: 3:   About folder contents
  684.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  685.    wt: 3:   Chapter 12. Units and Slopes
  686.    wt: 3:   Fall 1983 Calculus Appetizer
  687.    wt: 3:   Chapter 12. Shorthand Usage Guide
  688.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  689.    wt: 3:   M Words to extend arithmetic
  690.    wt: 3:   L Skills with take home value
  691.    wt: 3:   H Jigsaw puzzles and problem solving
  692.    wt: 3:   How to Build Skills and Confidence
  693.    wt: 3:   Chapter 6 More Algebra and Geometry
  694.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  695.    wt: 3:   Chapter 3 Algebra Starter Lessons
  696.    wt: 3:   Chapter 2 Why Sets
  697.    wt: 3:   Chapter 1 Arithmetic
  698.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  699.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  700.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  701.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  702.    wt: 3:   Talking pdf files for online lessons a webvideo alternative
  703.    wt: 2:   Appendix 1 primary and preschool mathematic
  704.    wt: 2:   K LAMP Musings Science Education
  705.    wt: 2:   J LAMP Introduction Extrinsic Origins
  706.    wt: 2:   I LAMP Introduction Study Habits
  707.    wt: 2:   H LAMP Introduction Instructional Concepts
  708.    wt: 2:   G LAMP Introduction Problem Solving Skills
  709.    wt: 2:   F LAMP Introduction Prerequisites
  710.    wt: 2:   E LAMP Introduction Modern Mathematics
  711.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  712.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  713.    wt: 2:   A Introduction Objectives
  714.    wt: 2:   Skills Chapter 1 Arithmetic
  715.    wt: 2:   Skills Chapter 0 Introduction
  716.    wt: 2:   11 pure mathematics
  717.    wt: 2:   10 statistics
  718.    wt: 2:   7 logic review and decimals an odd combination
  719.    wt: 2:   4 algebra
  720.    wt: 2:   website reviews
  721.    wt: 2:   three goals to set for students
  722.    wt: 2:   Applied Maths Program14092009 POMME variant
  723.    wt: 2:   links Education Resources online
  724.    wt: 2:   About site lesson plans
  725.    wt: 2:   teacher certification
  726.    wt: 2:   learning takes time
  727.    wt: 2:   what should be learnt and When
  728.    wt: 2:   Postscript 2007 01 10
  729.    wt: 2:   how letters appear
  730.    wt: 2:   Secondary Two Mathematics
  731.    wt: 2:   geometric implications for algebra
  732.    wt: 2:   Lessening Algebra Difficulties
  733.    wt: 2:   Four ways to improve education reform
  734.    wt: 2:   Motivation and Context Problem
  735.    wt: 2:   need for a mixed mathematics curriculum
  736.    wt: 2:   Leaner mathematics curriculum
  737.    wt: 2:   Prequel In For A Penny In For A Pound
  738.    wt: 2:   education an empirical art
  739.    wt: 2:   words for mathematics instructor
  740.    wt: 2:   liens
  741.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  742.    wt: 2:   Trois Notions qui menent a algebre
  743.    wt: 2:   deux definitions pour variable
  744.    wt: 2:   logique deux enigme
  745.    wt: 2:   2 Conductance Resistance Duality02
  746.    wt: 2:   3 Like resistors in parallel
  747.    wt: 2:   1 Like resistors in series
  748.    wt: 2:   H Series Circuit02
  749.    wt: 2:   G Series Circuit01
  750.    wt: 2:   F Unlike Resistors in Series
  751.    wt: 2:   E Kirchoffs Second Law
  752.    wt: 2:   D Kirchoff First Law
  753.    wt: 2:   C Electromotive force conventional current02
  754.    wt: 2:   B Electromotive force conventional current01
  755.    wt: 2:   A Circuit Elements
  756.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  757.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  758.    wt: 2:   24 Standards For Skill Develoment Take II
  759.    wt: 2:   24 Standards For Skill Develoment
  760.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  761.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  762.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  763.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  764.    wt: 2:   22 Student Centered Highschool Mathematics
  765.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  766.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  767.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  768.    wt: 2:   18 Primary School Mathematics
  769.    wt: 2:   16 Secondary Mathematics Tips
  770.    wt: 2:   15 Counting For Parents
  771.    wt: 2:   11 Help and Defend Your Child or Teens Education
  772.    wt: 2:   10 Ends values for work study instruction
  773.    wt: 2:   9 Streaming by Student Cooperation
  774.    wt: 2:   8 The Effect of Negative Remarks
  775.    wt: 2:   7 Student Motivation
  776.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  777.    wt: 2:   5 Patience Please for Yourself and Your Charges
  778.    wt: 2:   4 Learning Takes Time and Effort
  779.    wt: 2:   3 Preparing for Science Studies
  780.    wt: 2:   2 Reading and Writing Skills
  781.    wt: 2:   1 Speaking Skills
  782.    wt: 2:   Ages 9 to 10
  783.    wt: 2:   Ages 8 to 9
  784.    wt: 2:   Ages 7 to 8
  785.    wt: 2:   Ages 6 to 7
  786.    wt: 2:   Ages 4 plus to 5 plus
  787.    wt: 2:   Ages 3 plus to 4 plus
  788.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  789.    wt: 2:   20 Interchanging coordinates a reflection
  790.    wt: 2:   19 Horizontal line rule and method
  791.    wt: 2:   18 Vertical Line Rule and Method
  792.    wt: 2:   11 Function Domain Range Source and Targets
  793.    wt: 2:   10 Interval Notation
  794.    wt: 2:   7 Functions with finite domains
  795.    wt: 2:   4 Function notation in and beyond mathematics
  796.    wt: 2:   3 Formula or function graphing exercise
  797.    wt: 2:   2 Algebraic use of function notation
  798.    wt: 2:   10 quadratic exercises
  799.    wt: 2:   9 quadratics physical and further context
  800.    wt: 2:   8 quadratics backward use of various formulas
  801.    wt: 2:   7 quadratic formulla derivation
  802.    wt: 2:   6 quadratics numerical approach
  803.    wt: 2:   4 quadratics difference of two squares
  804.    wt: 2:   3 quadratics factoring by inspection
  805.    wt: 2:   2 quadratics graphing in general
  806.    wt: 2:   1 quadratics graphing exercises
  807.    wt: 2:   10 Exponential Growth and Decay Models
  808.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  809.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  810.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  811.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  812.    wt: 2:   5 Natural Logarithm Calculator Exercises
  813.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  814.    wt: 2:   2 Square Root Simplification a prequel
  815.    wt: 2:   1 Calculator Starter Exercises
  816.    wt: 2:   7 Links Lessons Elsewhere
  817.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  818.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  819.    wt: 2:   4 Polynomials Long division linear divisor
  820.    wt: 2:   2 Column Multiplication Method
  821.    wt: 2:   Rewriting algebraic substitution as function substitutions
  822.    wt: 2:   musings do not puiblish real numbers
  823.    wt: 2:   Simple Exercises
  824.    wt: 2:   6 Three Notions of What is a Variable
  825.    wt: 2:   5 Talking about Numbers and Quantities
  826.    wt: 2:   4 A Brief Story of numbers and algebra
  827.    wt: 2:   2 What is a Variable
  828.    wt: 2:   1 Three Skills For Algebra
  829.    wt: 2:   arithmetic videos Real Player Format
  830.    wt: 2:   5 Square Roots with primes more still
  831.    wt: 2:   4 Square Roots with primes more
  832.    wt: 2:   2 Square Roots with Prime
  833.    wt: 2:   1 Squares and Square Roots Introduction
  834.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  835.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  836.    wt: 2:   6 GCD from Prime
  837.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  838.    wt: 2:   2 Least Common Multiple LCM intro via list method
  839.    wt: 2:   1 Least Common Multiples LCM Introduction
  840.    wt: 2:   18 Efficient Ways to Multiply
  841.    wt: 2:   17 Efficient Ways to Add and Subtract
  842.    wt: 2:   16 Addition Subtraction Comparision Compared
  843.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  844.    wt: 2:   14 Adding and Subtracting with Like Denominators
  845.    wt: 2:   13 Fraction Comparison Algebraic View
  846.    wt: 2:   11 Simplification an Algebraic View
  847.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  848.    wt: 2:   9 Improper Fractions and Mixed Numbers
  849.    wt: 2:   8 Numerals Fractionals Quantals Take II
  850.    wt: 2:   7 Numerals Fractionals Quantals
  851.    wt: 2:   6 Multiplication of Mixed Numbers
  852.    wt: 2:   6 Multiplication Algebraically Take II
  853.    wt: 2:   5 Equivalent Fractions
  854.    wt: 2:   4 Fraction Multiplication
  855.    wt: 2:   3 Unit fraction of a fraction
  856.    wt: 2:   2 Unit Fraction Multiplication
  857.    wt: 2:   1 What is a fraction Take II
  858.    wt: 2:   1 What is a fraction
  859.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  860.    wt: 2:   11 Place Value SI Standard International way
  861.    wt: 2:   Quick history of numbers and algebra
  862.    wt: 2:   Formula Evaluation how to show work
  863.    wt: 2:   Expression Evaluation how to show work
  864.    wt: 2:   The 20 Times Table
  865.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  866.    wt: 2:   F.4 Finite Covering Theorem
  867.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  868.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  869.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  870.    wt: 2:   Chapter 23 Links To Trigonometry
  871.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  872.    wt: 2:   Chapter 10 Slopes and Units
  873.    wt: 2:   Chapter 8. Slope Interpretation
  874.    wt: 2:   Chapter 1.Introduction
  875.    wt: 2:   Foreword
  876.    wt: 2:   Postscript More on Better Performance
  877.    wt: 2:   Postscript For Better Performance
  878.    wt: 2:   Chapter 30 Truth Tables
  879.    wt: 2:   Chapter 28 Occurrence Tables
  880.    wt: 2:   Chapter 25. Mathematical Induction Examples
  881.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  882.    wt: 2:   Chapter 19. Functions and Sets
  883.    wt: 2:   Chapter 18. Rules for Algebra
  884.    wt: 2:   Chapter 16. Painless Theorem Proving
  885.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  886.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  887.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  888.    wt: 2:   Foreword
  889.    wt: 2:   Chapter 12 Four Phases
  890.    wt: 2:   Chapter 23 Truth Tables
  891.    wt: 2:   Chapter 21 Occurrence Tables
  892.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  893.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  894.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  895.    wt: 2:   Chapter 10 Responsibility
  896.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  897.    wt: 2:   Three Remarks
  898.    wt: 2:   Foreword
  899.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  900.    wt: 2:   S Adding words to algebra
  901.    wt: 2:   R Why Learn Mathematics Skills
  902.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  903.    wt: 2:   O On Learning Mathematics and Science
  904.    wt: 2:   N Mathematics Prepare for College Studies
  905.    wt: 2:   N Improving Marks on Tests and Finals
  906.    wt: 2:   J. More on written work and showing skill
  907.    wt: 2:   I. Logic and language skills
  908.    wt: 2:   G. Written work formats for developing and showing skill
  909.    wt: 2:   F. The student teacher tutor feedback loop
  910.    wt: 2:   E. When and how to correct errors
  911.    wt: 2:   D. Check work a must with a caution
  912.    wt: 2:   C. Domino effect of being careful
  913.    wt: 2:   B. Domino effect of errors
  914.    wt: 2:   A. Skill has to be seen to believed
  915.    wt: 2:   Chapter 8 Skipped Topics and Why
  916.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  917.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  918.    wt: 2:   7 Games and Activities for Instruction
  919.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  920.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  921.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  922.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  923.    wt: 2:   Road Safety Questions
  924.    wt: 1:   Skills Chapter 5 Calculus
  925.    wt: 1:   Skills Chapter 4 Logic
  926.    wt: 1:   Ramblings Extrinsic numbers theory
  927.    wt: 1:   Ramblings Introduction Algebra Essay
  928.    wt: 1:   Skills Chapter 3 Algebra
  929.    wt: 1:   why bother
  930.    wt: 1:   which way to go
  931.    wt: 1:   Teach the teachers plus goals
  932.    wt: 1:   permissions for teachers
  933.    wt: 1:   Math Ed if it must be short make it lean effective
  934.    wt: 1:   activities for students
  935.    wt: 1:   site origins
  936.    wt: 1:   site eurekas
  937.    wt: 1:   key notes and themes
  938.    wt: 1:   Mathematics Education Professors
  939.    wt: 1:   modern education
  940.    wt: 1:   grouping students according to ability
  941.    wt: 1:   mathematics in context
  942.    wt: 1:   Education Reform Inconsistencies
  943.    wt: 1:   five decades make a difference
  944.    wt: 1:   Maps Plans Drawings
  945.    wt: 1:   Secondary Three Mathematics
  946.    wt: 1:   Secondary One Mathematics
  947.    wt: 1:   talk the algebra talk
  948.    wt: 1:   three difficulties
  949.    wt: 1:   teaching tips
  950.    wt: 1:   What to Tell Students
  951.    wt: 1:   mathematics curriculum shifts
  952.    wt: 1:   teaching tutoring algebraic reason
  953.    wt: 1:   the trouble with algebra
  954.    wt: 1:   three goals for Mathematics Education
  955.    wt: 1:   05 13 OldSiteEntrancePage
  956.    wt: 1:   04 29 New Mathematics Curriculum
  957.    wt: 1:   04 25 when to stop or suspend mathemat
  958.    wt: 1:   02 21 words for teachers
  959.    wt: 1:   02 20 mathematics education references
  960.    wt: 1:   three aims for mathematics students
  961.    wt: 1:   standards for course material
  962.    wt: 1:   Operational Viewpoint to Value
  963.    wt: 1:   formal or informal peer review
  964.    wt: 1:   Theory of Knowledge
  965.    wt: 1:   mathematics instruction in general
  966.    wt: 1:   Education in mathematics science and technology
  967.    wt: 1:   Different Kinds of Reasoning in maths
  968.    wt: 1:   three kinds of reason in mathematics
  969.    wt: 1:   cultivating intelligence
  970.    wt: 1:   problemes responses
  971.    wt: 1:   4 Energy Power Heat09
  972.    wt: 1:   3 Energy Power Heat08
  973.    wt: 1:   2 Energy Power Heat07
  974.    wt: 1:   1 Energy Power Heat06
  975.    wt: 1:   E Energy Power05
  976.    wt: 1:   D Energy Power04
  977.    wt: 1:   C Energy Power03
  978.    wt: 1:   B Energy Power02
  979.    wt: 1:   A Energy Power01
  980.    wt: 1:   1 Conductance Resistance Duality01
  981.    wt: 1:   F Wire Resistance Calculation04
  982.    wt: 1:   E Wire Resistance Calculation03
  983.    wt: 1:   D Wire Resistance Calculation02
  984.    wt: 1:   C Wire Resistance Calculation01
  985.    wt: 1:   B Wire Resistance Qualitative02
  986.    wt: 1:   A Wire Resistance Qualitative01
  987.    wt: 1:   2 Unlike resistors in parallel01
  988.    wt: 1:   Home Tutoring and Home Schooling
  989.    wt: 1:   26 Function definitions done and coming
  990.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  991.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  992.    wt: 1:   23 Inverse Functions
  993.    wt: 1:   22 Square Root function graphically
  994.    wt: 1:   17 Function maxima minima and their location
  995.    wt: 1:   16 Increasing or decreasing on intervals
  996.    wt: 1:   15 Sign analysis of functions
  997.    wt: 1:   14 Surjections Injections Bijections
  998.    wt: 1:   13 From one to one to many to one
  999.    wt: 1:   11 Growth and Decay in Biology
  1000.    wt: 1:   8 Notes for instructors or tutors
  1001.    wt: 1:   3 Polynomials Multiplication Addition
  1002.    wt: 1:   1 Polynomials Distributive Law
  1003.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  1004.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  1005.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  1006.    wt: 1:   13 GCD from given Prime Factorization
  1007.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1008.    wt: 1:   8 GCD from Euclidean Algorithm
  1009.    wt: 1:   7 GCD and LCM from prime factorization
  1010.    wt: 1:   5 Common Divisors 60 45 via Prime
  1011.    wt: 1:   4 LCM of 8 and 10 via Prime
  1012.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  1013.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  1014.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  1015.    wt: 1:   G.5 Motions With Bounded Velocities
  1016.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1017.    wt: 1:   G.3 Constant Difference Theorem Proof
  1018.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  1019.    wt: 1:   F.5b Extreme Value Theorem
  1020.    wt: 1:   F.5a Equicontinuity Theorems
  1021.    wt: 1:   F.3 Intermediate Value Theorem
  1022.    wt: 1:   F.2 Closed Range Theorem
  1023.    wt: 1:   F.1 What Functions are Continuous
  1024.    wt: 1:   E2 Algebraic Properties of Limits
  1025.    wt: 1:   E1 Error Control Inequalities
  1026.    wt: 1:   D2 Limits of Monotone Sequences
  1027.    wt: 1:   C Triangle Inequalities
  1028.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1029.    wt: 1:   A1. Introduction
  1030.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  1031.    wt: 1:   Chapter 22 Complex Numbers
  1032.    wt: 1:   Chapter 21 Arrow Addition
  1033.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  1034.    wt: 1:   Chapter 18. Slopes Areas Integration
  1035.    wt: 1:   Chapter 17. Area Approximation
  1036.    wt: 1:   Chapter 16. Velocity Approximation
  1037.    wt: 1:   Chapter 15. Slope Approximation
  1038.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  1039.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  1040.    wt: 1:   Chapter 13. Acceleration
  1041.    wt: 1:   Chapter 11. Graphing Slope versus Position
  1042.    wt: 1:   Chapter 9 About First Courses in Calculus
  1043.    wt: 1:   Chapter 7 Slopes and Velocity
  1044.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  1045.    wt: 1:   Chapter 5. Slope Sign Tests
  1046.    wt: 1:   Chapter 4. More Slope Sign Analysis
  1047.    wt: 1:   Chapter 3. Slope Sign Analysis
  1048.    wt: 1:   Chapter 2. Slopes and Ski Trails
  1049.    wt: 1:   Appendix E. How To Study Mathematics and Why
  1050.    wt: 1:   Appendix D. What to do in School and Why
  1051.    wt: 1:   Appendix C. How to Read
  1052.    wt: 1:   Appendix B. How To Learn
  1053.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  1054.    wt: 1:   Chapter 31 Direct and Indirect Reason
  1055.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  1056.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  1057.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  1058.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  1059.    wt: 1:   Chapter 23. Notation For Sums
  1060.    wt: 1:   Chapter 21. Third Reading Guide
  1061.    wt: 1:   Chapter 20. Degrees and Radians
  1062.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1063.    wt: 1:   Chapter 15. Solving Linear Equations
  1064.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  1065.    wt: 1:   Chapter 13. Second Reading Guide
  1066.    wt: 1:   Chapter 11. Why Shorthand
  1067.    wt: 1:   Chapter 10 Describing and Changing Calculations
  1068.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  1069.    wt: 1:   Chapter 8 Three Skills For Algebra
  1070.    wt: 1:   Solutions For Arithmetic Exercises
  1071.    wt: 1:   Chapter 6 Change of Language
  1072.    wt: 1:   Chapter 4 Longer Chains of Reason
  1073.    wt: 1:   Chapter 3 Chains of Reason
  1074.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  1075.    wt: 1:   Chapter 10 Transition
  1076.    wt: 1:   Chapter 7 Two Treatments of Geometry
  1077.    wt: 1:   Foreword
  1078.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  1079.    wt: 1:   Postscript C Consistency as a Tool for Reason
  1080.    wt: 1:   Postscript B More on Story Telling and Reason
  1081.    wt: 1:   Postscript A Story Telling
  1082.    wt: 1:   Chapter 24 Direct and Indirect Reason
  1083.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  1084.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  1085.    wt: 1:   Chapter 18 Sense and Knowledge
  1086.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  1087.    wt: 1:   Chapter 15 Objective Processes
  1088.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  1089.    wt: 1:   Chapter 11 Accidental Patterns
  1090.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1091.    wt: 1:   Chapter 8 Change of Language
  1092.    wt: 1:   Chapter 7 Longer Chains of Reason
  1093.    wt: 1:   Chapter 6 Chains of Reason
  1094.    wt: 1:   Chapter 5 Deception
  1095.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  1096.    wt: 1:   Chapter 2 Skill Development
  1097.    wt: 1:   Chapter 1 Introduction
  1098.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1099.    wt: 1:   H more Routine to non routine problem solving
  1100.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  1101.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  1102.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  1103.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1104.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1105.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1106.    wt: 1:   Which Way To Go
  1107.    wt: 1:   The Math Forum and Site Content
  1108.    wt: 1:   Site Reviews
  1109.    wt: 15:   chapitre 12 00 les iles et division
  1110.    wt: 13:   chapitre 04 07 RepetablesEtReproductibles
  1111.    wt: 12:   chapitre 04 00 Les regles d implication
  1112.    wt: 11:   chapitre 04 09 Regles accidentelles
  1113.    wt: 10:   chapitre 07 00 Des chaines plus longues de la raison
  1114.    wt: 10:   chapitre 06 00 Chaines de la raison
  1115.    wt: 10:   chapitre 05 00 Deception
  1116.    wt: 10:   chapitre 04 10 Etapes pour une meilleur raison
  1117.    wt: 10:   chapitre 04 08 Limitations et benefices
  1118.    wt: 10:   chapitre 03 A Propos Des Prochains Chapitre
  1119.    wt: 10:   chapitre 02 00 La Communication des idees
  1120.    wt: 10:   chapitre 01 00 Introduction
  1121.    wt: 10:   12 Why Long Division Works Take III
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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