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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54 matches:

  1.    wt: 5:   Volume 1A Regles et modeles/
  2.    wt: 4:   4 Lines and Slopes Take 1/
  3.    wt: 4:   3 Cartesian and Polar Coordinates/
  4.    wt: 4:   4 Remainder Arithmetic and Divisibility/
  5.    wt: 4:   D Decimal Long Division Methods/
  6.    wt: 4:   C Decimal Multiplication Methods/
  7.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  8.    wt: 3:   8 Unit Circle Trigonometry/
  9.    wt: 3:   6 Trigonometry first steps/
  10.    wt: 3:   2 Euclidean Geometry Constructions Theory extras/
  11.    wt: 3:   3 Prime Factorization Skills/
  12.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  13.    wt: 3:   A Decimal Counting and Adding Methods/
  14.    wt: 2:   3 Quadratics Geometrically/
  15.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  16.    wt: 2:   13 Vectors/
  17.    wt: 2:   12 Function Translating and Rescaling/
  18.    wt: 2:   11 Parallel Straight Lines and Transversals/
  19.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  20.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  21.    wt: 2:   7 Complex Numbers/
  22.    wt: 2:   5 What is Similarity/
  23.    wt: 2:   1 Maps Plans Measurement/
  24.    wt: 2:   Geometry maps plans trigonometry vectors/
  25.    wt: 2:   Step 4 Gaussian Elimination/
  26.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  27.    wt: 2:   8 Arithmetic with Signed Numbers/
  28.    wt: 2:   7 Arithmetic and Fractions with Units/
  29.    wt: 2:   2 Arithmetic with Decimals/
  30.    wt: 2:   4 Lessons on Using Derivatives/
  31.    wt: 1:   francais/
  32.    wt: 1:   4 Functions/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   4 Computation Rules and Function Notation/
  35.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  36.    wt: 1:   Step 1 Stick diagram and fractions/
  37.    wt: 1:   3 Solving Linear Equations/
  38.    wt: 1:   1 Working With Sets/
  39.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  40.    wt: 1:   11 Squares and Square Roots/
  41.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  42.    wt: 1:   9 Combinatorics Trees Tables and Products/
  43.    wt: 1:   6 Fractions and Ratios/
  44.    wt: 1:   5 Integers/
  45.    wt: 1:   1 Decimal Place Value/
  46.    wt: 1:   Arithmetic and Number Theory Skills/
  47.    wt: 1:   5 Lessons on Integration/
  48.    wt: 1:   38 Lessons on Calculating Derivatives/
  49.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  50.    wt: 1:   Volume 2 Three Skills For Algebra/
  51.    wt: 1:   Volume 1A Pattern Based Reason/
  52.    wt: 1:   Secondary Mathematics A Practical Approach/
  53.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  54.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

194 matches:

  1.    wt: 6:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  2.    wt: 4:   chapitre 04 07 RepetablesEtReproductibles
  3.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  4.    wt: 3:   chapitre 04 09 Regles accidentelles
  5.    wt: 3:   chapitre 04 08 Limitations et benefices
  6.    wt: 3:   chapitre 04 05 Implication versus suggestion
  7.    wt: 3:   chapitre 04 04 Parlons de la logique
  8.    wt: 3:   chapitre 04 00 Les regles d implication
  9.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  10.    wt: 2:   8 analytic geometry etc
  11.    wt: 2:   chapitre 12 00 les iles et division
  12.    wt: 2:   chapitre 04 06 engagements
  13.    wt: 2:   chapitre 04 02 Deuxieme enigme
  14.    wt: 2:   chapitre 04 01 Premiere enigme
  15.    wt: 2:   problemes algebre et arithmetique
  16.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  17.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  18.    wt: 2:   Appetizer A Complex Number Applet
  19.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  20.    wt: 2:   3 Counting with Sets etc
  21.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  22.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  23.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  24.    wt: 1:   Appendix 2 primary school Arithmetic 01
  25.    wt: 1:   Skills Chapter 2 Geometry
  26.    wt: 1:   Skills Chapter 1 Arithmetic
  27.    wt: 1:   9 combinatorics probability sets
  28.    wt: 1:   6 polynomials etc
  29.    wt: 1:   5 logarithms and exponentials etc
  30.    wt: 1:   3 Euclidean Geometry Leanly
  31.    wt: 1:   2 arithmetic with signed numbers
  32.    wt: 1:   1 arithmetic with unsigned numbers
  33.    wt: 1:   three goals to set for students
  34.    wt: 1:   how letters appear
  35.    wt: 1:   geometric implications for algebra
  36.    wt: 1:   04 29 New Mathematics Curriculum
  37.    wt: 1:   04 25 when to stop or suspend mathemat
  38.    wt: 1:   How to be a better instructor
  39.    wt: 1:   chapitre 07 01 principle D induction mathematique
  40.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  41.    wt: 1:   chapitre 06 00 Chaines de la raison
  42.    wt: 1:   chapitre 05 00 Deception
  43.    wt: 1:   chapitre 02 00 La Communication des idees
  44.    wt: 1:   chapitre 01 00 Introduction
  45.    wt: 1:   D Energy Power04
  46.    wt: 1:   C Energy Power03
  47.    wt: 1:   F Wire Resistance Calculation04
  48.    wt: 1:   E Wire Resistance Calculation03
  49.    wt: 1:   17 Math Booklets for children and young teenagers
  50.    wt: 1:   Ages 12 to 14 Geometry
  51.    wt: 1:   Ages 12 to 14 Arithmetic
  52.    wt: 1:   Ages 10 to 12 Geometry
  53.    wt: 1:   Ages 10 to 12 Arithmetic
  54.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  55.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  56.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  57.    wt: 1:   19 Horizontal line rule and method
  58.    wt: 1:   18 Vertical Line Rule and Method
  59.    wt: 1:   11 Function Domain Range Source and Targets
  60.    wt: 1:   9 Set theory term relation possible origins
  61.    wt: 1:   8 Set view of relations and functions
  62.    wt: 1:   6 Set Existence Formation and Notation
  63.    wt: 1:   5 Function notation for geometric transformations
  64.    wt: 1:   1 Geometric Introduction of Function Notation
  65.    wt: 1:   5 quadratics completing the square
  66.    wt: 1:   2 Column Multiplication Method
  67.    wt: 1:   11 Component Method
  68.    wt: 1:   10 Parallelogram Addition Method
  69.    wt: 1:   Vector and Complex Number Applet
  70.    wt: 1:   30 unit circle calculation of six trigonometric functions
  71.    wt: 1:   Unit Circle Development of Trigonometry
  72.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  73.    wt: 1:   8 Unit Circle Development of Trigonometry
  74.    wt: 1:   7 Trignometric Ratios Unit Circle
  75.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  76.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  77.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  78.    wt: 1:   3 Trigonometric Ratios sine and cosine
  79.    wt: 1:   Why Trigonometry the whyslopes view
  80.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  81.    wt: 1:   6 Geometric Diagrams in Class
  82.    wt: 1:   8 Distance Between Points on a Line
  83.    wt: 1:   7 Complex Numbers Appetizer
  84.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  85.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  86.    wt: 1:   PS B Parallelogram Construction Methods
  87.    wt: 1:   PS A Kite Construction Methods
  88.    wt: 1:   16 Angles Subtended By Chords and Diameters
  89.    wt: 1:   3 Isometry of Triangles Congruence
  90.    wt: 1:   2 Correspondence between Triangles
  91.    wt: 1:   Short Course on Euclidean Geometry
  92.    wt: 1:   A Modular and Remainder Arithmetic
  93.    wt: 1:   A Signed Number Arithmetic Review
  94.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  95.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  96.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  97.    wt: 1:   E Long Division Methods more
  98.    wt: 1:   D Long Division Methods
  99.    wt: 1:   C Three Decimal Subtraction Methods
  100.    wt: 1:   A Decimal Addition Columm Methods
  101.    wt: 1:   8 Column Multiplication Methods in General
  102.    wt: 1:   7 Decimals Multiplication Methods Examples
  103.    wt: 1:   6 Column Methods for Decimal Multiplication
  104.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  105.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  106.    wt: 1:   5 Independent versus Dependent Variables
  107.    wt: 1:   4 Changing Letters
  108.    wt: 1:   3 Geometric Formulas and Function Notation
  109.    wt: 1:   Using Letters for Physical Quantities
  110.    wt: 1:   9 Sets in Probability and Statistics
  111.    wt: 1:   8 Sets of Numbers
  112.    wt: 1:   7 Cautious or Safe Set Construction
  113.    wt: 1:   6 Power Set Notation
  114.    wt: 1:   4 Subset Builder Notation
  115.    wt: 1:   1 Finite Sets
  116.    wt: 1:   3 Adding Words To Arithmetic
  117.    wt: 1:   arithmetic videos Real Player Format
  118.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  119.    wt: 1:   2 Least Common Multiple LCM intro via list method
  120.    wt: 1:   1 Counting and Counting Methods I
  121.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  122.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  123.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  124.    wt: 1:   23 Remainder Arithmetic Modulo 2
  125.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  126.    wt: 1:   21 Remainder Arithmetic Modulo 3
  127.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  128.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  129.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  130.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  131.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  132.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  133.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  134.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  135.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  136.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  137.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  138.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  139.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  140.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  141.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  142.    wt: 1:   5 Remainder Arithmetic Modulo 5
  143.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  144.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  145.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  146.    wt: 1:   1 Remainder Arithmetic Modulo 10
  147.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  148.    wt: 1:   D Decimal Multiplication Methods Derived
  149.    wt: 1:   A Elementary Basis for Multiplication Methods
  150.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  151.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  152.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  153.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  154.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  155.    wt: 1:   Exact Arithmetic Wholes and Fractions
  156.    wt: 1:   5 Conversion Arithmetic
  157.    wt: 1:   Example 1. Area Between x and x squared
  158.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  159.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  160.    wt: 1:   Area Between Curves Lesson Take 2
  161.    wt: 1:   Area Between Curves Lesson Take 1
  162.    wt: 1:   3 Two Chain Rule Method Exercises
  163.    wt: 1:   1 Chain Rule in Reverse Integration Method
  164.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  165.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  166.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  167.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  168.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  169.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  170.    wt: 1:   Chapter 23 Links To Trigonometry
  171.    wt: 1:   Chapter 11. Graphing Slope versus Position
  172.    wt: 1:   Chapter 8. Slope Interpretation
  173.    wt: 1:   Fall 1983 Calculus Appetizer
  174.    wt: 1:   Postscript More on Better Performance
  175.    wt: 1:   Postscript For Better Performance
  176.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  177.    wt: 1:   Chapter 19. Functions and Sets
  178.    wt: 1:   Solutions For Arithmetic Exercises
  179.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  180.    wt: 1:   Chapter 7 Two Treatments of Geometry
  181.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  182.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  183.    wt: 1:   M Words to extend arithmetic
  184.    wt: 1:   Chapter 6 More Algebra and Geometry
  185.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  186.    wt: 1:   Chapter 2 Why Sets
  187.    wt: 1:   Chapter 1 Arithmetic
  188.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  189.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  190.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  191.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  192.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  193.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  194.    wt: 1:   Road Safety Questions

Extended Search

856 matches:

  1.    wt: 9:   chapitre 04 07 RepetablesEtReproductibles
  2.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  3.    wt: 8:   chapitre 04 09 Regles accidentelles
  4.    wt: 8:   chapitre 04 08 Limitations et benefices
  5.    wt: 8:   chapitre 04 05 Implication versus suggestion
  6.    wt: 8:   chapitre 04 04 Parlons de la logique
  7.    wt: 8:   chapitre 04 00 Les regles d implication
  8.    wt: 8:   chapitre 03 A Propos Des Prochains Chapitre
  9.    wt: 7:   chapitre 12 00 les iles et division
  10.    wt: 7:   chapitre 04 06 engagements
  11.    wt: 7:   chapitre 04 02 Deuxieme enigme
  12.    wt: 7:   chapitre 04 01 Premiere enigme
  13.    wt: 6:   chapitre 07 01 principle D induction mathematique
  14.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  15.    wt: 6:   chapitre 06 00 Chaines de la raison
  16.    wt: 6:   chapitre 05 00 Deception
  17.    wt: 6:   chapitre 02 00 La Communication des idees
  18.    wt: 6:   chapitre 01 00 Introduction
  19.    wt: 6:   4 Equations for lines three forms
  20.    wt: 6:   3 Slope product for perpendicular lines
  21.    wt: 6:   4 Polar Coordinates to and from
  22.    wt: 6:   3 Rectangular Coordinates Review
  23.    wt: 6:   3 Isometry of Triangles Congruence
  24.    wt: 6:   23 Remainder Arithmetic Modulo 2
  25.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  26.    wt: 6:   21 Remainder Arithmetic Modulo 3
  27.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  28.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  29.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  30.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  31.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  32.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  33.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  34.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  35.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  36.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  37.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  38.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  39.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  40.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  41.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  42.    wt: 6:   4 Division with 2 Digit Divsors
  43.    wt: 6:   3 Division Single Digit Divisor Example
  44.    wt: 6:   4 Two and Three Digit Multipliers
  45.    wt: 6:   3 More One Digit Multipliers
  46.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  47.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  48.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  49.    wt: 5:   3 Trigonometric Ratios sine and cosine
  50.    wt: 5:   8 Distance Between Points on a Line
  51.    wt: 5:   7 Complex Numbers Appetizer
  52.    wt: 5:   4 Side Side Side
  53.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  54.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  55.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  56.    wt: 5:   5 Remainder Arithmetic Modulo 5
  57.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  58.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  59.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  60.    wt: 5:   1 Remainder Arithmetic Modulo 10
  61.    wt: 5:   4 video Prime Factorization Introduction
  62.    wt: 5:   3 video Primes and Composites from 9 times table
  63.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  64.    wt: 5:   D Decimal Multiplication Methods Derived
  65.    wt: 5:   A Elementary Basis for Multiplication Methods
  66.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  67.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  68.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  69.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  70.    wt: 4:   4 Resultant of a Sum of Movements
  71.    wt: 4:   3 Navigation with Arrows or Vectors
  72.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  73.    wt: 4:   31 basic secant cosecant cotangent trig identities
  74.    wt: 4:   30 unit circle calculation of six trigonometric functions
  75.    wt: 4:   7 period of sine and cosine
  76.    wt: 4:   6 sines and cosines for reference angle 30 degrees
  77.    wt: 4:   3 sines and cosines for reference angle 90 degrees
  78.    wt: 4:   Unit Circle Development of Trigonometry
  79.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  80.    wt: 4:   4 Multiplication Properties
  81.    wt: 4:   3 Addition Properties
  82.    wt: 4:   Appetizer A Complex Number Applet
  83.    wt: 4:   7 Trignometric Ratios Unit Circle
  84.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  85.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  86.    wt: 4:   Why Trigonometry the whyslopes view
  87.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  88.    wt: 4:   Four Simple Exercises
  89.    wt: 4:   12 Links Lessons elsewhere
  90.    wt: 4:   11 A Partial Summary
  91.    wt: 4:   10 Midpoint of [a b] and [b a]
  92.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  93.    wt: 4:   8 Mid Point Formula
  94.    wt: 4:   7 Exercises to test skill and concept mastery
  95.    wt: 4:   6 Intersection of lines by solving linear systems
  96.    wt: 4:   5 Algebraic View of Slopes
  97.    wt: 4:   2 point slope equation for a line
  98.    wt: 4:   1 Numerical view of lines and their equations
  99.    wt: 4:   What is and is not here
  100.    wt: 4:   13 Pythagorean spatial distance formulas
  101.    wt: 4:   12 Spatial Coordinates
  102.    wt: 4:   11 Triangle Inequality
  103.    wt: 4:   10 Pythagorean plane distance formula
  104.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  105.    wt: 4:   6 Polar Multiplication and Rotation
  106.    wt: 4:   5 Cartesian Addition and Translation
  107.    wt: 4:   2 Cartesian Coordinates with signs
  108.    wt: 4:   1 Cartesian Coordinates sans signs
  109.    wt: 4:   Euclidean Geometry Elsewhere LINKS
  110.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  111.    wt: 4:   PS B Parallelogram Construction Methods
  112.    wt: 4:   PS A Kite Construction Methods
  113.    wt: 4:   16 Angles Subtended By Chords and Diameters
  114.    wt: 4:   2 Correspondence between Triangles
  115.    wt: 4:   Short Course on Euclidean Geometry
  116.    wt: 4:   4 GE III Animated Examples
  117.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  118.    wt: 4:   3 GE III Equation Addition and Multiplication
  119.    wt: 4:   4 Solving a triangular system exercise
  120.    wt: 4:   3 Solving triangular system example
  121.    wt: 4:   3 Counting with Sets etc
  122.    wt: 4:   4 signed coordinates for regions in space
  123.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  124.    wt: 4:   26 Divisibility by 2 3 5 Example
  125.    wt: 4:   Long Division Backwards more
  126.    wt: 4:   Long Division Backward
  127.    wt: 4:   Division with Counts and Length
  128.    wt: 4:   Long Division forwards and backwards Example 3
  129.    wt: 4:   Long Division forwards and backwards Example 2
  130.    wt: 4:   Long Division forwards and backwards Example 1
  131.    wt: 4:   12 Why Long Division Works Take III
  132.    wt: 4:   11 Another Single Digit Divisor Example
  133.    wt: 4:   10 Division by Five Long and Short Ways
  134.    wt: 4:   9 Why Long Division Works Take II
  135.    wt: 4:   8 Correcting the Mistake
  136.    wt: 4:   7 Long Divison Mistake Catching
  137.    wt: 4:   5 Long Division Include Zeroes or not
  138.    wt: 4:   2 Division with Single Digit Divisors
  139.    wt: 4:   1 Divsion Physical Examples
  140.    wt: 4:   C Counting Areas with Powers of Ten
  141.    wt: 4:   B Powers of Ten
  142.    wt: 4:   6 Multiplication Commutes Order Not Important
  143.    wt: 4:   5 Decimal Fraction Multiplication
  144.    wt: 4:   2 One Digit Multipliers
  145.    wt: 4:   Video Power Notation in Decimal Expansion
  146.    wt: 4:   1 Why 3 times 5 gives 15
  147.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  148.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  149.    wt: 4:   4. How to add with decimals B with conversions
  150.    wt: 4:   3. How to add with decimals A sans conversions
  151.    wt: 4:   3 Second derivative test
  152.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  153.    wt: 3:   problemes algebre et arithmetique
  154.    wt: 3:   4 Function notation in and beyond mathematics
  155.    wt: 3:   3 Formula or function graphing exercise
  156.    wt: 3:   5 quadratics completing the square
  157.    wt: 3:   4 quadratics difference of two squares
  158.    wt: 3:   3 quadratics factoring by inspection
  159.    wt: 3:   16 cotangent function Definition Graph and Inverse
  160.    wt: 3:   15 cosecant function Definition Graph and Inverse
  161.    wt: 3:   14 secant function Definition Graph and Inverse
  162.    wt: 3:   13 cosecant function Definition Graph and Inverse
  163.    wt: 3:   12 motivation for term arctan
  164.    wt: 3:   11 arctan left inverse of tangent Graph
  165.    wt: 3:   10 arctan left inverse of tangent Definition
  166.    wt: 3:   9 motivation for name arcsin
  167.    wt: 3:   8 arcsin left inverse of sine Graph
  168.    wt: 3:   7 arcsin left inverse of sine Definition
  169.    wt: 3:   6 Graph of arccos function
  170.    wt: 3:   5 Swapping Coordinates is a reflection
  171.    wt: 3:   4 possible motivation for term arccos
  172.    wt: 3:   3 Left Inverse of cosine arccos definition
  173.    wt: 3:   2 cosine function more properties
  174.    wt: 3:   1 cosine function properties
  175.    wt: 3:   11 Component Method
  176.    wt: 3:   10 Parallelogram Addition Method
  177.    wt: 3:   5 Head To Tail Arrow Addition
  178.    wt: 3:   Vector and Complex Number Applet
  179.    wt: 3:   4 graphing y=Asin(x c)
  180.    wt: 3:   3 graphing y=f(x c) plus K
  181.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  182.    wt: 3:   Straight Lines ASA Intersection Study More
  183.    wt: 3:   Straight Lines ASA Intersection Study
  184.    wt: 3:   Straight Lines Instersection Solving Equations
  185.    wt: 3:   Straight Lines Intersection of
  186.    wt: 3:   14 Straight Lines Equations General Case
  187.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  188.    wt: 3:   12 Straight Lines Graphing mx plus b
  189.    wt: 3:   11 Straight Lines Graphing y=mx
  190.    wt: 3:   10 Straight Lines through Origin Equations More
  191.    wt: 3:   9 Straight Lines through Origin Equations
  192.    wt: 3:   17 tangent function angle sum formulas
  193.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  194.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  195.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  196.    wt: 3:   32 seven rows of pascals triangle
  197.    wt: 3:   29 secant cosecant and cotangent for acute angles
  198.    wt: 3:   28 Expressing products of sines cosines as sums
  199.    wt: 3:   27 Logarithmic use of products of sines and cosines
  200.    wt: 3:   26 Formulas for products of sines and cosines
  201.    wt: 3:   25 tangent double angle formula Slope connection
  202.    wt: 3:   24 tangent Angle Difference Formula
  203.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  204.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  205.    wt: 3:   21 sine and cosine Half Angle Formulas
  206.    wt: 3:   20 sine and cosine Double Angle Formulas
  207.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  208.    wt: 3:   18 sum of sinusoidal waves as a single wave
  209.    wt: 3:   17G Pythagorean Theorem Converse
  210.    wt: 3:   17F Law of cosines
  211.    wt: 3:   17E Trig Formulas for dot and cross Products
  212.    wt: 3:   17D cis formulas for sine cosines and tangent
  213.    wt: 3:   17C sine and cosine double triple angle formulas
  214.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  215.    wt: 3:   17A The complex number valued trig function cis
  216.    wt: 3:   16 Right Triangle Complementary Angle Relations
  217.    wt: 3:   15 sine cosine Complementary Angle Relations
  218.    wt: 3:   14 cosine even and sine and tangent are odd
  219.    wt: 3:   13 Graph of tangent function many periods
  220.    wt: 3:   12 Graph of tangent function for one period
  221.    wt: 3:   11 tangent function undefined when terminal side vertical
  222.    wt: 3:   10 Graphs of sines and cosines many periods
  223.    wt: 3:   9 Graphs of sine and cosine over one period
  224.    wt: 3:   8 period of tangent function
  225.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  226.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  227.    wt: 3:   2 Quadrant I reference Angles
  228.    wt: 3:   1 Unit Points Reflections Rotations
  229.    wt: 3:   8 Unit Circle Development of Trigonometry
  230.    wt: 3:   8 Triangles Cascade Problem Solving
  231.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  232.    wt: 3:   1 Angle Measurement with Degrees
  233.    wt: 3:   6 Geometric Diagrams in Class
  234.    wt: 3:   4 Similarity Definition with Coordinate
  235.    wt: 3:   3 Similarity by Design with coordinates
  236.    wt: 3:   PS H Distributive Law For Complex Numbers
  237.    wt: 3:   PS G Rotation Distributes over Addition
  238.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  239.    wt: 3:   PS E Multiplication with Polar Coordinates
  240.    wt: 3:   PS D Addition with Cartesian Coordinates
  241.    wt: 3:   21 Parallelograms
  242.    wt: 3:   19 Right Triangle Similarity
  243.    wt: 3:   18 Triangle Similarity Take 1
  244.    wt: 3:   17 Right Bisectors of Triangle Sides
  245.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  246.    wt: 3:   14 Parallel Lines Postulate
  247.    wt: 3:   13 Angle Side Angle Failure
  248.    wt: 3:   12 Side Angle Side Failure
  249.    wt: 3:   11 Triangle Construction Fails
  250.    wt: 3:   10 Dropping a perpendicular to line
  251.    wt: 3:   9 Construction of a right bisector
  252.    wt: 3:   8 Isoceles Triangles
  253.    wt: 3:   7 Angle Side Angle
  254.    wt: 3:   6 Ruler and compass Angle Bisection
  255.    wt: 3:   5 Side Angle Side
  256.    wt: 3:   1 Initial Concepts and Terms
  257.    wt: 3:   4 Angles on Maps Plans drawn to scale
  258.    wt: 3:   3 Lengths and Areas on Maps and Plans
  259.    wt: 3:   4 Commutative Law Groups Counting Form
  260.    wt: 3:   3 Multiplicative Counting Skills Principles
  261.    wt: 3:   4 Changing Letters
  262.    wt: 3:   3 Geometric Formulas and Function Notation
  263.    wt: 3:   4 Four Examples Fractional Coefficients
  264.    wt: 3:   3 Four Examples
  265.    wt: 3:   4 Two Examples
  266.    wt: 3:   3 Two Examples
  267.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  268.    wt: 3:   4 Subset Builder Notation
  269.    wt: 3:   4 Greater More Less Than Signs in General
  270.    wt: 3:   3 Comparison of Negative Numbers
  271.    wt: 3:   3 signed coordinates for maps and planes
  272.    wt: 3:   4 Adding Movements wiht opposite directions
  273.    wt: 3:   3 Adding Movements with same direction
  274.    wt: 3:   20 Uniqueness of Prime Factorization
  275.    wt: 3:   19 video Prime Factorization Unique
  276.    wt: 3:   18 video Count Factors given Prime Factorization
  277.    wt: 3:   17 Identify and Count Factors using Primes
  278.    wt: 3:   16 video Factors of 980 using prime
  279.    wt: 3:   15 video Factors of 20 using Prime Factorization
  280.    wt: 3:   14 video Factors of 24 Take II
  281.    wt: 3:   13 video Factors of 24 using prime
  282.    wt: 3:   12 LCD GCD and LCM using Primes
  283.    wt: 3:   11 Efficient Square Rule Use
  284.    wt: 3:   10 video Prime Factorization upto 23 squared
  285.    wt: 3:   9 video Prime Factorization upto 19 squared
  286.    wt: 3:   8 video Prime Factorization upto 19
  287.    wt: 3:   7 Calculator Usage Notes and Cautions
  288.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  289.    wt: 3:   5 Prime Factorization and a Square Rule
  290.    wt: 3:   2 Prime and Composites less than 16
  291.    wt: 3:   1 video how Products are bigger than factor
  292.    wt: 3:   Subtraction with J Conversions Example
  293.    wt: 3:   Subtraction Another Video Lesson
  294.    wt: 3:   9 22 Minute Subtraction Review Video
  295.    wt: 3:   8 Subtraction with Units of Measure
  296.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  297.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  298.    wt: 3:   5 A Tip for Efficent Subtraction
  299.    wt: 3:   2 Subtraction Easy Case Examples
  300.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  301.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  302.    wt: 3:   8 What skills and work habits to require
  303.    wt: 3:   7 Adding decimal fractions using decimal point
  304.    wt: 3:   6. Counting and adding units and mixed units
  305.    wt: 3:   5. How to add decimals C. Examples
  306.    wt: 3:   2 Decimal Counting Practices
  307.    wt: 3:   1. Explaining Addition Table
  308.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  309.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  310.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  311.    wt: 3:   3 Two Chain Rule Method Exercises
  312.    wt: 3:   4 Second derivative test exercise example
  313.    wt: 3:   2 Second derivative test prequel
  314.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  315.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  316.    wt: 3:   Systematic Algebra Skill Development Missing Links
  317.    wt: 2:   8 analytic geometry etc
  318.    wt: 2:   3 Euclidean Geometry Leanly
  319.    wt: 2:   geometric implications for algebra
  320.    wt: 2:   liens
  321.    wt: 2:   4 Learning Takes Time and Effort
  322.    wt: 2:   3 Preparing for Science Studies
  323.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  324.    wt: 2:   19 Horizontal line rule and method
  325.    wt: 2:   18 Vertical Line Rule and Method
  326.    wt: 2:   11 Function Domain Range Source and Targets
  327.    wt: 2:   9 Set theory term relation possible origins
  328.    wt: 2:   8 Set view of relations and functions
  329.    wt: 2:   6 Set Existence Formation and Notation
  330.    wt: 2:   5 Function notation for geometric transformations
  331.    wt: 2:   1 Geometric Introduction of Function Notation
  332.    wt: 2:   A Quadratics Summary
  333.    wt: 2:   10 quadratic exercises
  334.    wt: 2:   9 quadratics physical and further context
  335.    wt: 2:   8 quadratics backward use of various formulas
  336.    wt: 2:   7 quadratic formulla derivation
  337.    wt: 2:   6 quadratics numerical approach
  338.    wt: 2:   2 quadratics graphing in general
  339.    wt: 2:   1 quadratics graphing exercises
  340.    wt: 2:   Quadratics in 10 steps
  341.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  342.    wt: 2:   9 Summary Degrees to Radians and back
  343.    wt: 2:   8 Radian Measures of Common Angles
  344.    wt: 2:   7 Radian Measures in special Triangles
  345.    wt: 2:   6 Radian Measure to Degrees
  346.    wt: 2:   5 Degrees to Radian Measure
  347.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  348.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  349.    wt: 2:   2 Radian Measure Numerical Value of one degree
  350.    wt: 2:   1 Degrees and Radians Introduction
  351.    wt: 2:   A Global Time and Navigation
  352.    wt: 2:   15 Dot and Cross Product
  353.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  354.    wt: 2:   13 Velocity Vectors in Physics
  355.    wt: 2:   12 From Applied To Pure Mathematics
  356.    wt: 2:   9 Head to Tail Coordinate View
  357.    wt: 2:   8 Parallel Vectors
  358.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  359.    wt: 2:   6 Vectors with Coordinates
  360.    wt: 2:   2 Signed Coordinates
  361.    wt: 2:   1 Unsigned Coordinates
  362.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  363.    wt: 2:   1 graphing y=f(x a)
  364.    wt: 2:   Parallel Lines and Parallel Transversals
  365.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  366.    wt: 2:   Triangle Angles Sum To 180 Degrees
  367.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  368.    wt: 2:   Parallel Lines and Interior Angles
  369.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  370.    wt: 2:   C Straight Lines Slope from Coordinates
  371.    wt: 2:   B Straight Line Slope Scaling Properties More
  372.    wt: 2:   A Straight Line Slope Scaling Properties
  373.    wt: 2:   8 Straight Lines Equation for vertical
  374.    wt: 2:   7 Tangent Function is odd on this domain
  375.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  376.    wt: 2:   5 Tangent Function Graph
  377.    wt: 2:   4 Tangent Function Properties
  378.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  379.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  380.    wt: 2:   1 Straight Lines Slope Concept
  381.    wt: 2:   21 Logarithms Powers and Exponentials
  382.    wt: 2:   20 N th Roots of Complex Numbers
  383.    wt: 2:   19 N th Roots of Unity
  384.    wt: 2:   18 Sixth Roots of Unity
  385.    wt: 2:   17 Cube Roots of unity
  386.    wt: 2:   16 References and Originality Question
  387.    wt: 2:   15 Pythagorean Theorem Converse
  388.    wt: 2:   14 Law of cosines
  389.    wt: 2:   13 Trig Formulas for dot and cross Products
  390.    wt: 2:   12 cis formulas for sine cosines and tangent
  391.    wt: 2:   11 sine and cosine double triple angle formulas
  392.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  393.    wt: 2:   9 The complex number valued trig function cis
  394.    wt: 2:   7 Second Way to Calculate Products
  395.    wt: 2:   6 Field Properties of Complex Number
  396.    wt: 2:   5 An Easy Proof of the Distributive Law
  397.    wt: 2:   2 Complex Numbers made easier we hope
  398.    wt: 2:   1 Rectangular Polar Coordinates Review
  399.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  400.    wt: 2:   12 Triangles Similarity More Problems
  401.    wt: 2:   11 Triangle Similarity Missing Side Problem
  402.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  403.    wt: 2:   9 Similarity of Triangles Usual Criteria
  404.    wt: 2:   8 Similarity of Triangles and Polygons
  405.    wt: 2:   7 Translations Rotations Reflections Dilatations
  406.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  407.    wt: 2:   2 Similarity By Design
  408.    wt: 2:   1 Early Concept of Like or Similar Shapes
  409.    wt: 2:   A Measurement with Ruler Proper Use
  410.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  411.    wt: 2:   6 Figuring with Maps Not to Scale
  412.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  413.    wt: 2:   2 Measuring Area Directly
  414.    wt: 2:   1 Length Measurement
  415.    wt: 2:   About Folder Contents
  416.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  417.    wt: 2:   E Long Division Methods more
  418.    wt: 2:   D Long Division Methods
  419.    wt: 2:   C Three Decimal Subtraction Methods
  420.    wt: 2:   A Decimal Addition Columm Methods
  421.    wt: 2:   8 Column Multiplication Methods in General
  422.    wt: 2:   7 Decimals Multiplication Methods Examples
  423.    wt: 2:   6 Column Methods for Decimal Multiplication
  424.    wt: 2:   4 Rates Ratios and Proporitionality
  425.    wt: 2:   3 Proportionality Examples
  426.    wt: 2:   5 Independent versus Dependent Variables
  427.    wt: 2:   Simple Exercises
  428.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  429.    wt: 2:   2 GE II Comparison
  430.    wt: 2:   1 GE Substitution four examples
  431.    wt: 2:   2 Essentially one exercises three with solution
  432.    wt: 2:   1 Essentially One Unknown
  433.    wt: 2:   Using Letters for Physical Quantities
  434.    wt: 2:   9 Sets in Probability and Statistics
  435.    wt: 2:   8 Sets of Numbers
  436.    wt: 2:   7 Cautious or Safe Set Construction
  437.    wt: 2:   6 Power Set Notation
  438.    wt: 2:   1 Finite Sets
  439.    wt: 2:   3 Adding Words To Arithmetic
  440.    wt: 2:   arithmetic videos Real Player Format
  441.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  442.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  443.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  444.    wt: 2:   2 Least Common Multiple LCM intro via list method
  445.    wt: 2:   1 Counting and Counting Methods I
  446.    wt: 2:   11 What are real lengths and numbers
  447.    wt: 2:   10 dividing signed numbers
  448.    wt: 2:   9 subtracting signed numbers
  449.    wt: 2:   8 multiplying signed numbers
  450.    wt: 2:   7 negative and additive inverse
  451.    wt: 2:   6 adding signed numbers
  452.    wt: 2:   5 lengths and signs of numbers
  453.    wt: 2:   2 signed and unsigned numbers as coordinates
  454.    wt: 2:   7 Converting or Changing Units
  455.    wt: 2:   6 Simplification of Fractions with Units
  456.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  457.    wt: 2:   4 Fractions with Units
  458.    wt: 2:   3 Multiplying Units and Numbers
  459.    wt: 2:   2 Equality and Units
  460.    wt: 2:   1 Addition and Subtraction with Units
  461.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  462.    wt: 2:   4 Fraction Multiplication
  463.    wt: 2:   3 Unit fraction of a fraction
  464.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  465.    wt: 2:   Exact Arithmetic Wholes and Fractions
  466.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  467.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  468.    wt: 2:   Area Between Curves Lesson Take 2
  469.    wt: 2:   A Related Material in Volume 3
  470.    wt: 2:   4 Definite Integrals Evaluation Exercises
  471.    wt: 2:   2 Indefinite Integrals Exercises
  472.    wt: 2:   1 Chain Rule in Reverse Integration Method
  473.    wt: 2:   A Related lessons in Volume 3
  474.    wt: 2:   38 Formulas and derivatives for powers and roots
  475.    wt: 2:   36 Cube root derivative animated
  476.    wt: 2:   34 Derivative of exponential function
  477.    wt: 2:   33 Chain Rule Real Player video examples
  478.    wt: 2:   31 Derivatives of inverse functions
  479.    wt: 2:   30Chain Rule A Proof
  480.    wt: 2:   14 sine and cosine derivatives 2nd step
  481.    wt: 2:   13 sine and cosine derivatives 1st step
  482.    wt: 2:   12 Quotient rule examples
  483.    wt: 2:   4 Sum Rule
  484.    wt: 2:   3 Motivation for Limit Definition Take 2
  485.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  486.    wt: 2:   4 Numerical properties
  487.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  488.    wt: 2:   Chapter 23 Links To Trigonometry
  489.    wt: 2:   Chapter 11. Graphing Slope versus Position
  490.    wt: 2:   Chapter 8. Slope Interpretation
  491.    wt: 2:   Chapter 4. More Slope Sign Analysis
  492.    wt: 2:   Chapter 3. Slope Sign Analysis
  493.    wt: 2:   Fall 1983 Calculus Appetizer
  494.    wt: 2:   Postscript More on Better Performance
  495.    wt: 2:   Postscript For Better Performance
  496.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  497.    wt: 2:   Chapter 19. Functions and Sets
  498.    wt: 2:   Solutions For Arithmetic Exercises
  499.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  500.    wt: 2:   Chapter 4 Longer Chains of Reason
  501.    wt: 2:   Chapter 3 Chains of Reason
  502.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  503.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  504.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  505.    wt: 2:   Chapter 6 More Algebra and Geometry
  506.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  507.    wt: 2:   Chapter 3 Algebra Starter Lessons
  508.    wt: 2:   Chapter 2 Why Sets
  509.    wt: 2:   Chapter 1 Arithmetic
  510.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  511.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  512.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  513.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  514.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  515.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  516.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  517.    wt: 2:   Implementation Notes
  518.    wt: 2:   More Algebra and Slope based Calculus Preview
  519.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  520.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  521.    wt: 1:   Appendix 2 primary school Arithmetic 01
  522.    wt: 1:   Skills Chapter 2 Geometry
  523.    wt: 1:   Skills Chapter 1 Arithmetic
  524.    wt: 1:   9 combinatorics probability sets
  525.    wt: 1:   6 polynomials etc
  526.    wt: 1:   5 logarithms and exponentials etc
  527.    wt: 1:   4 algebra
  528.    wt: 1:   2 arithmetic with signed numbers
  529.    wt: 1:   1 arithmetic with unsigned numbers
  530.    wt: 1:   three goals to set for students
  531.    wt: 1:   Teach the teachers plus goals
  532.    wt: 1:   permissions for teachers
  533.    wt: 1:   Math Ed if it must be short make it lean effective
  534.    wt: 1:   site eurekas
  535.    wt: 1:   Education Reform Inconsistencies
  536.    wt: 1:   how letters appear
  537.    wt: 1:   teaching tutoring algebraic reason
  538.    wt: 1:   04 29 New Mathematics Curriculum
  539.    wt: 1:   04 25 when to stop or suspend mathemat
  540.    wt: 1:   Education in mathematics science and technology
  541.    wt: 1:   Different Kinds of Reasoning in maths
  542.    wt: 1:   How to be a better instructor
  543.    wt: 1:   Leaner mathematics curriculum
  544.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  545.    wt: 1:   problemes responses
  546.    wt: 1:   Trois Notions qui menent a algebre
  547.    wt: 1:   deux definitions pour variable
  548.    wt: 1:   logique deux enigme
  549.    wt: 1:   4 Energy Power Heat09
  550.    wt: 1:   3 Energy Power Heat08
  551.    wt: 1:   D Energy Power04
  552.    wt: 1:   C Energy Power03
  553.    wt: 1:   F Wire Resistance Calculation04
  554.    wt: 1:   E Wire Resistance Calculation03
  555.    wt: 1:   3 Like resistors in parallel
  556.    wt: 1:   C Electromotive force conventional current02
  557.    wt: 1:   B Electromotive force conventional current01
  558.    wt: 1:   17 Math Booklets for children and young teenagers
  559.    wt: 1:   Ages 12 to 14 Geometry
  560.    wt: 1:   Ages 12 to 14 Arithmetic
  561.    wt: 1:   Ages 10 to 12 Geometry
  562.    wt: 1:   Ages 10 to 12 Arithmetic
  563.    wt: 1:   Ages 4 plus to 5 plus
  564.    wt: 1:   Ages 3 plus to 4 plus
  565.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  566.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  567.    wt: 1:   26 Function definitions done and coming
  568.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  569.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  570.    wt: 1:   23 Inverse Functions
  571.    wt: 1:   22 Square Root function graphically
  572.    wt: 1:   20 Interchanging coordinates a reflection
  573.    wt: 1:   17 Function maxima minima and their location
  574.    wt: 1:   16 Increasing or decreasing on intervals
  575.    wt: 1:   15 Sign analysis of functions
  576.    wt: 1:   14 Surjections Injections Bijections
  577.    wt: 1:   13 From one to one to many to one
  578.    wt: 1:   12 Function Domain Recognition Exercises
  579.    wt: 1:   10 Interval Notation
  580.    wt: 1:   7 Functions with finite domains
  581.    wt: 1:   2 Algebraic use of function notation
  582.    wt: 1:   Introduction Reading Guide
  583.    wt: 1:   4 Polynomials Long division linear divisor
  584.    wt: 1:   3 Polynomials Multiplication Addition
  585.    wt: 1:   2 Column Multiplication Method
  586.    wt: 1:   A Modular and Remainder Arithmetic
  587.    wt: 1:   A Signed Number Arithmetic Review
  588.    wt: 1:   26 More Less Greater Than Comparison
  589.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  590.    wt: 1:   23 Distributive Law Two Derivations
  591.    wt: 1:   22 Multiplication of Signed Numbers
  592.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  593.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  594.    wt: 1:   4 Location of Point in Decimal Addition
  595.    wt: 1:   3 Location of Point in Decimal Multiplication
  596.    wt: 1:   B Decimal Comparison and Subtraction
  597.    wt: 1:   5 Distributive Law for Whole Numbers
  598.    wt: 1:   2 Combing Counts Addition Skills and Principles
  599.    wt: 1:   1 The Counting Origins of Numbers
  600.    wt: 1:   4 Fraction Operations Axiomatic Development
  601.    wt: 1:   3 Inequalities Algebraically
  602.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  603.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  604.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  605.    wt: 1:   3 Linear Equation Literal Solution More
  606.    wt: 1:   4 Subtraction and Division Axioms
  607.    wt: 1:   3 Product Axioms Two Forms
  608.    wt: 1:   4 Comparison of Negative Numbers
  609.    wt: 1:   3 More and Less Than with Unlike Signs
  610.    wt: 1:   4 Rational Numbers
  611.    wt: 1:   3 Fractions
  612.    wt: 1:   2 Computation Rules Evaluation
  613.    wt: 1:   1 Formulas Dependence and Function Notation
  614.    wt: 1:   More Exercises
  615.    wt: 1:   6 Algebraic Solution Example
  616.    wt: 1:   5 Algebraic Solutions Introduction
  617.    wt: 1:   2 Three Examples
  618.    wt: 1:   1 Proper Equal Sign Usage
  619.    wt: 1:   Skill Development Notes
  620.    wt: 1:   10 One Example
  621.    wt: 1:   9 Three Examples
  622.    wt: 1:   8 One Example
  623.    wt: 1:   7 Two Examples
  624.    wt: 1:   6 Three Examples
  625.    wt: 1:   5 Three Examples
  626.    wt: 1:   2 Three Examples
  627.    wt: 1:   Formula Usage Show Work Format
  628.    wt: 1:   4 Circle Area Formula Example
  629.    wt: 1:   3 Triangle Area Formula Example
  630.    wt: 1:   5 Product Builder Notation
  631.    wt: 1:   2 Venn Diagrams
  632.    wt: 1:   4 A Brief Story of numbers and algebra
  633.    wt: 1:   2 More and Less Than with Unlike Signs
  634.    wt: 1:   1 More and Less Than for Counts and Measures
  635.    wt: 1:   5 Square Roots with primes more still
  636.    wt: 1:   4 Square Roots with primes more
  637.    wt: 1:   3 Properties of Square Roots with example
  638.    wt: 1:   2 Square Roots with Prime
  639.    wt: 1:   1 Squares and Square Roots Introduction
  640.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  641.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  642.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  643.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  644.    wt: 1:   13 GCD from given Prime Factorization
  645.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  646.    wt: 1:   8 GCD from Euclidean Algorithm
  647.    wt: 1:   7 GCD and LCM from prime factorization
  648.    wt: 1:   6 GCD from Prime
  649.    wt: 1:   5 Common Divisors 60 45 via Prime
  650.    wt: 1:   4 LCM of 8 and 10 via Prime
  651.    wt: 1:   1 Least Common Multiples LCM Introduction
  652.    wt: 1:   12 GCD 2700 288 via Prime
  653.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  654.    wt: 1:   4 Counting with Trees Product Rule Take I
  655.    wt: 1:   3 Counting with Tables and Trees II
  656.    wt: 1:   2 Counting with Tables and Trees I
  657.    wt: 1:   D Three Term Ratios
  658.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  659.    wt: 1:   B Fractions and Two Term Ratios
  660.    wt: 1:   22 Complex Compound Fractions
  661.    wt: 1:   21 Working With Signs
  662.    wt: 1:   21 Reciprocals for Fractions and Wholes
  663.    wt: 1:   20 Dividing Fractions the Why
  664.    wt: 1:   19 Dividing Fractions How TO
  665.    wt: 1:   18 Efficient Ways to Multiply
  666.    wt: 1:   17 Efficient Ways to Add and Subtract
  667.    wt: 1:   16 Addition Subtraction Comparision Compared
  668.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  669.    wt: 1:   14 Adding and Subtracting with Like Denominators
  670.    wt: 1:   13 Fraction Comparison Algebraic View
  671.    wt: 1:   12 Fraction Comparison
  672.    wt: 1:   11 Simplification an Algebraic View
  673.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  674.    wt: 1:   9 Improper Fractions and Mixed Numbers
  675.    wt: 1:   8 Numerals Fractionals Quantals Take II
  676.    wt: 1:   7 Numerals Fractionals Quantals
  677.    wt: 1:   6 Multiplication of Mixed Numbers
  678.    wt: 1:   6 Multiplication Algebraically Take II
  679.    wt: 1:   5 Equivalent Fractions
  680.    wt: 1:   2 Unit Fraction Multiplication
  681.    wt: 1:   1 What is a fraction Take II
  682.    wt: 1:   1 What is a fraction
  683.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  684.    wt: 1:   D Remainders Modulo 11 Pair Rule
  685.    wt: 1:   B Integer Long Division Multiple Choices
  686.    wt: 1:   A Associative Law Theorectical Note
  687.    wt: 1:   13 Subtraction with Additive Inverse
  688.    wt: 1:   12 Adding Integers More Examples
  689.    wt: 1:   11 Adding Integers Formulas and Examples
  690.    wt: 1:   10 Integer Multiplication Formulas
  691.    wt: 1:   9 Multiplying Integers
  692.    wt: 1:   8 Multiplication by Signed Numbers Integers
  693.    wt: 1:   7 Multiplication by Signs
  694.    wt: 1:   6 Multiplication by Natural Numbers
  695.    wt: 1:   5 Zero Movement and Additive Inverses
  696.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  697.    wt: 1:   1 Integers as Coordinates
  698.    wt: 1:   11 Place Value SI Standard International way
  699.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  700.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  701.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  702.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  703.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  704.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  705.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  706.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  707.    wt: 1:   Quick history of numbers and algebra
  708.    wt: 1:   Formula Evaluation how to show work
  709.    wt: 1:   Expression Evaluation how to show work
  710.    wt: 1:   The 20 Times Table
  711.    wt: 1:   The 12 Times Table Visually
  712.    wt: 1:   About folder contents
  713.    wt: 1:   5 Conversion Arithmetic
  714.    wt: 1:   4 Mixing and Changing Units of Time
  715.    wt: 1:   3 Units and Lengths of Time
  716.    wt: 1:   Example 1. Area Between x and x squared
  717.    wt: 1:   Example 4 with x function of y
  718.    wt: 1:   Example 3
  719.    wt: 1:   Example 2
  720.    wt: 1:   Example 1
  721.    wt: 1:   Area Between Curves Lesson Take 1
  722.    wt: 1:   5 Area Under Curve Exercise
  723.    wt: 1:   A Chain Rule Real Player video examples
  724.    wt: 1:   29 Chain Rule Optional Reading
  725.    wt: 1:   28 Chain Rule Preparation for a Proof
  726.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  727.    wt: 1:   26 Chain Rule Recognising outer inner functions
  728.    wt: 1:   25 Chain Rule Animated Examples Continued
  729.    wt: 1:   24 Chain Rule Animated Examples
  730.    wt: 1:   23 Chain Rule in general
  731.    wt: 1:   22 Chain Rule for polynomials
  732.    wt: 1:   21 Chain Rule for powers
  733.    wt: 1:   20 Chain Rule for Pulley Systems
  734.    wt: 1:   19 Chain Rule for linear functions
  735.    wt: 1:   18 Chain Rule Introduction
  736.    wt: 1:   17 Derivatives of quotients of sine and cosine
  737.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  738.    wt: 1:   15 sine and cosine derivatives 3rd step
  739.    wt: 1:   11 Quotient rule
  740.    wt: 1:   10 Power rule for negative integers
  741.    wt: 1:   9 Reciprocal rule
  742.    wt: 1:   8 Differentiation of polynomials
  743.    wt: 1:   7 Animated Differentiation Examples
  744.    wt: 1:   6 Power rule from product rule
  745.    wt: 1:   5 Product Rule
  746.    wt: 1:   2 Motivation for Limit Definition Take 1
  747.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  748.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  749.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  750.    wt: 1:   C Triangle Inequalities
  751.    wt: 1:   B3 Bolzano Weierstrass Theorem
  752.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  753.    wt: 1:   Chapter 22 Complex Numbers
  754.    wt: 1:   Chapter 21 Arrow Addition
  755.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  756.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  757.    wt: 1:   Chapter 18. Slopes Areas Integration
  758.    wt: 1:   Chapter 17. Area Approximation
  759.    wt: 1:   Chapter 16. Velocity Approximation
  760.    wt: 1:   Chapter 15. Slope Approximation
  761.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  762.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  763.    wt: 1:   Chapter 13. Acceleration
  764.    wt: 1:   Chapter 12. Units and Slopes
  765.    wt: 1:   Chapter 10 Slopes and Units
  766.    wt: 1:   Chapter 9 About First Courses in Calculus
  767.    wt: 1:   Chapter 7 Slopes and Velocity
  768.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  769.    wt: 1:   Chapter 5. Slope Sign Tests
  770.    wt: 1:   Chapter 2. Slopes and Ski Trails
  771.    wt: 1:   Chapter 1.Introduction
  772.    wt: 1:   Foreword
  773.    wt: 1:   Appendix E. How To Study Mathematics and Why
  774.    wt: 1:   Appendix D. What to do in School and Why
  775.    wt: 1:   Appendix C. How to Read
  776.    wt: 1:   Appendix B. How To Learn
  777.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  778.    wt: 1:   Chapter 31 Direct and Indirect Reason
  779.    wt: 1:   Chapter 30 Truth Tables
  780.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  781.    wt: 1:   Chapter 28 Occurrence Tables
  782.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  783.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  784.    wt: 1:   Chapter 25. Mathematical Induction Examples
  785.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  786.    wt: 1:   Chapter 23. Notation For Sums
  787.    wt: 1:   Chapter 21. Third Reading Guide
  788.    wt: 1:   Chapter 20. Degrees and Radians
  789.    wt: 1:   Chapter 18. Rules for Algebra
  790.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  791.    wt: 1:   Chapter 16. Painless Theorem Proving
  792.    wt: 1:   Chapter 15. Solving Linear Equations
  793.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  794.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  795.    wt: 1:   Chapter 13. Second Reading Guide
  796.    wt: 1:   Chapter 12. Shorthand Usage Guide
  797.    wt: 1:   Chapter 11. Why Shorthand
  798.    wt: 1:   Chapter 10 Describing and Changing Calculations
  799.    wt: 1:   Postscript What is a Variable
  800.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  801.    wt: 1:   Chapter 8 Three Skills For Algebra
  802.    wt: 1:   Chapter 6 Change of Language
  803.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  804.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  805.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  806.    wt: 1:   Foreword
  807.    wt: 1:   Chapter 7 Two Treatments of Geometry
  808.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  809.    wt: 1:   Chapter 3 Algebra Difficulties
  810.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  811.    wt: 1:   Postscript C Consistency as a Tool for Reason
  812.    wt: 1:   Postscript B More on Story Telling and Reason
  813.    wt: 1:   Postscript A Story Telling
  814.    wt: 1:   Chapter 24 Direct and Indirect Reason
  815.    wt: 1:   Chapter 23 Truth Tables
  816.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  817.    wt: 1:   Chapter 21 Occurrence Tables
  818.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  819.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  820.    wt: 1:   Chapter 18 Sense and Knowledge
  821.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  822.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  823.    wt: 1:   Chapter 15 Objective Processes
  824.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  825.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  826.    wt: 1:   Chapter 11 Accidental Patterns
  827.    wt: 1:   Chapter 10 Responsibility
  828.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  829.    wt: 1:   Chapter 8 Change of Language
  830.    wt: 1:   Chapter 7 Longer Chains of Reason
  831.    wt: 1:   Chapter 6 Chains of Reason
  832.    wt: 1:   Chapter 5 Deception
  833.    wt: 1:   Chapter 2 Skill Development
  834.    wt: 1:   Chapter 1 Introduction
  835.    wt: 1:   Three Remarks
  836.    wt: 1:   Foreword
  837.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  838.    wt: 1:   M Words to extend arithmetic
  839.    wt: 1:   D. Check work a must with a caution
  840.    wt: 1:   C. Domino effect of being careful
  841.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  842.    wt: 1:   Chapter 8 Skipped Topics and Why
  843.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  844.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  845.    wt: 1:   7 Games and Activities for Instruction
  846.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  847.    wt: 1:   Helping the Blind in Logic and Mathematics
  848.    wt: 1:   Mathematics Education References
  849.    wt: 1:   Mathematics Education References
  850.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  851.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  852.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  853.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  854.    wt: 1:   Which Way To Go
  855.    wt: 1:   Road Safety Questions
  856.    wt: 11:   chapitre 04 03 Unidirectionnel versus bidirectionnel
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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