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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

52 matches:

  1.    wt: 5:   Volume 1A Regles et modeles/
  2.    wt: 5:   5 What is Similarity/
  3.    wt: 5:   4 Lines and Slopes Take 1/
  4.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 4:   8 Unit Circle Trigonometry/
  6.    wt: 4:   6 Trigonometry first steps/
  7.    wt: 4:   2 Euclidean Geometry Constructions Theory extras/
  8.    wt: 4:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 4:   D Decimal Long Division Methods/
  10.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  11.    wt: 3:   13 Vectors/
  12.    wt: 3:   12 Function Translating and Rescaling/
  13.    wt: 3:   11 Parallel Straight Lines and Transversals/
  14.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  15.    wt: 3:   9 Lines and Slopes Take 2 with tangent function/
  16.    wt: 3:   7 Complex Numbers/
  17.    wt: 3:   3 Cartesian and Polar Coordinates/
  18.    wt: 3:   1 Maps Plans Measurement/
  19.    wt: 3:   Geometry maps plans trigonometry vectors/
  20.    wt: 3:   5 Integers/
  21.    wt: 3:   C Decimal Multiplication Methods/
  22.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  23.    wt: 3:   A Decimal Counting and Adding Methods/
  24.    wt: 2:   8 Arithmetic with Signed Numbers/
  25.    wt: 2:   7 Arithmetic and Fractions with Units/
  26.    wt: 2:   2 Arithmetic with Decimals/
  27.    wt: 2:   5 Lessons on Integration/
  28.    wt: 2:   Mathematics 506 Lessons/
  29.    wt: 1:   francais/
  30.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  31.    wt: 1:   4 Functions/
  32.    wt: 1:   3 Quadratics Geometrically/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   5 Real Numbers/
  35.    wt: 1:   4 Computation Rules and Function Notation/
  36.    wt: 1:   Step 4 Gaussian Elimination/
  37.    wt: 1:   1 Working With Sets/
  38.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  39.    wt: 1:   11 Squares and Square Roots/
  40.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  41.    wt: 1:   9 Combinatorics Trees Tables and Products/
  42.    wt: 1:   6 Fractions and Ratios/
  43.    wt: 1:   3 Prime Factorization Skills/
  44.    wt: 1:   1 Decimal Place Value/
  45.    wt: 1:   Arithmetic and Number Theory Skills/
  46.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  47.    wt: 1:   4 Lessons on Using Derivatives/
  48.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  49.    wt: 1:   Volume 2 Three Skills For Algebra/
  50.    wt: 1:   Volume 1A Pattern Based Reason/
  51.    wt: 1:   Secondary Mathematics A Practical Approach/
  52.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

198 matches:

  1.    wt: 6:   chapitre 04 05 Implication versus suggestion
  2.    wt: 4:   chapitre 04 07 RepetablesEtReproductibles
  3.    wt: 4:   chapitre 04 00 Les regles d implication
  4.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  5.    wt: 3:   chapitre 04 09 Regles accidentelles
  6.    wt: 3:   chapitre 04 08 Limitations et benefices
  7.    wt: 3:   chapitre 04 04 Parlons de la logique
  8.    wt: 3:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  9.    wt: 2:   8 analytic geometry etc
  10.    wt: 2:   geometric implications for algebra
  11.    wt: 2:   chapitre 12 00 les iles et division
  12.    wt: 2:   chapitre 05 00 Deception
  13.    wt: 2:   chapitre 04 06 engagements
  14.    wt: 2:   chapitre 04 02 Deuxieme enigme
  15.    wt: 2:   chapitre 04 01 Premiere enigme
  16.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  17.    wt: 2:   problemes algebre et arithmetique
  18.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  19.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  20.    wt: 2:   Appetizer A Complex Number Applet
  21.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  22.    wt: 2:   3 Counting with Sets etc
  23.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  24.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  25.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  26.    wt: 1:   Appendix 2 primary school Arithmetic 01
  27.    wt: 1:   Skills Chapter 2 Geometry
  28.    wt: 1:   Skills Chapter 1 Arithmetic
  29.    wt: 1:   9 combinatorics probability sets
  30.    wt: 1:   6 polynomials etc
  31.    wt: 1:   5 logarithms and exponentials etc
  32.    wt: 1:   3 Euclidean Geometry Leanly
  33.    wt: 1:   2 arithmetic with signed numbers
  34.    wt: 1:   1 arithmetic with unsigned numbers
  35.    wt: 1:   three goals to set for students
  36.    wt: 1:   how letters appear
  37.    wt: 1:   05 13 OldSiteEntrancePage
  38.    wt: 1:   04 29 New Mathematics Curriculum
  39.    wt: 1:   04 25 when to stop or suspend mathemat
  40.    wt: 1:   How to be a better instructor
  41.    wt: 1:   chapitre 07 01 principle D induction mathematique
  42.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  43.    wt: 1:   chapitre 06 00 Chaines de la raison
  44.    wt: 1:   chapitre 02 00 La Communication des idees
  45.    wt: 1:   chapitre 01 00 Introduction
  46.    wt: 1:   E Energy Power05
  47.    wt: 1:   D Energy Power04
  48.    wt: 1:   F Wire Resistance Calculation04
  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 29 Contrapositive and Vacuously True Implications
  177.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  178.    wt: 1:   Chapter 19. Functions and Sets
  179.    wt: 1:   Solutions For Arithmetic Exercises
  180.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  181.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  182.    wt: 1:   Chapter 7 Two Treatments of Geometry
  183.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  184.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  185.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  186.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  187.    wt: 1:   M Words to extend arithmetic
  188.    wt: 1:   Chapter 6 More Algebra and Geometry
  189.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  190.    wt: 1:   Chapter 2 Why Sets
  191.    wt: 1:   Chapter 1 Arithmetic
  192.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  193.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  194.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  195.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  196.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  197.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  198.    wt: 1:   Road Safety Questions

Extended Search

824 matches:

  1.    wt: 9:   chapitre 04 07 RepetablesEtReproductibles
  2.    wt: 9:   chapitre 04 00 Les regles d implication
  3.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  4.    wt: 8:   chapitre 04 09 Regles accidentelles
  5.    wt: 8:   chapitre 04 08 Limitations et benefices
  6.    wt: 8:   chapitre 04 04 Parlons de la logique
  7.    wt: 8:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  8.    wt: 7:   chapitre 12 00 les iles et division
  9.    wt: 7:   chapitre 05 00 Deception
  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: 7:   chapitre 03 A Propos Des Prochains Chapitre
  14.    wt: 7:   5 Algebraic View of Slopes
  15.    wt: 7:   4 Equations for lines three forms
  16.    wt: 6:   chapitre 07 01 principle D induction mathematique
  17.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  18.    wt: 6:   chapitre 06 00 Chaines de la raison
  19.    wt: 6:   chapitre 02 00 La Communication des idees
  20.    wt: 6:   chapitre 01 00 Introduction
  21.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  22.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  23.    wt: 6:   Unit Circle Development of Trigonometry
  24.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  25.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  26.    wt: 6:   6 Geometric Diagrams in Class
  27.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  28.    wt: 6:   4 Similarity Definition with Coordinate
  29.    wt: 6:   5 Side Angle Side
  30.    wt: 6:   4 Side Side Side
  31.    wt: 6:   23 Remainder Arithmetic Modulo 2
  32.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  33.    wt: 6:   21 Remainder Arithmetic Modulo 3
  34.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  35.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  36.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  37.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  38.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  39.    wt: 6:   5 Long Division Include Zeroes or not
  40.    wt: 6:   4 Division with 2 Digit Divsors
  41.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  42.    wt: 5:   5 Head To Tail Arrow Addition
  43.    wt: 5:   4 Resultant of a Sum of Movements
  44.    wt: 5:   30 unit circle calculation of six trigonometric functions
  45.    wt: 5:   8 period of tangent function
  46.    wt: 5:   7 period of sine and cosine
  47.    wt: 5:   Right Triangle and Unit Circle Trigonometry
  48.    wt: 5:   5 An Easy Proof of the Distributive Law
  49.    wt: 5:   4 Multiplication Properties
  50.    wt: 5:   Appetizer A Complex Number Applet
  51.    wt: 5:   7 Trignometric Ratios Unit Circle
  52.    wt: 5:   6 Trigonometry Sines of Supplementary Angles
  53.    wt: 5:   3 Trigonometric Ratios sine and cosine
  54.    wt: 5:   Why Trigonometry the whyslopes view
  55.    wt: 5:   Right Triangle and Unit Circle Trigonometry
  56.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  57.    wt: 5:   12 Triangles Similarity More Problems
  58.    wt: 5:   11 Triangle Similarity Missing Side Problem
  59.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  60.    wt: 5:   9 Similarity of Triangles Usual Criteria
  61.    wt: 5:   8 Similarity of Triangles and Polygons
  62.    wt: 5:   7 Translations Rotations Reflections Dilatations
  63.    wt: 5:   3 Similarity by Design with coordinates
  64.    wt: 5:   2 Similarity By Design
  65.    wt: 5:   1 Early Concept of Like or Similar Shapes
  66.    wt: 5:   Four Simple Exercises
  67.    wt: 5:   12 Links Lessons elsewhere
  68.    wt: 5:   11 A Partial Summary
  69.    wt: 5:   10 Midpoint of [a b] and [b a]
  70.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  71.    wt: 5:   8 Mid Point Formula
  72.    wt: 5:   7 Exercises to test skill and concept mastery
  73.    wt: 5:   6 Intersection of lines by solving linear systems
  74.    wt: 5:   3 Slope product for perpendicular lines
  75.    wt: 5:   2 point slope equation for a line
  76.    wt: 5:   1 Numerical view of lines and their equations
  77.    wt: 5:   What is and is not here
  78.    wt: 5:   5 Cartesian Addition and Translation
  79.    wt: 5:   4 Polar Coordinates to and from
  80.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  81.    wt: 5:   PS C Similarity Use Recognize it in Trigonometry
  82.    wt: 5:   PS B Parallelogram Construction Methods
  83.    wt: 5:   PS A Kite Construction Methods
  84.    wt: 5:   16 Angles Subtended By Chords and Diameters
  85.    wt: 5:   3 Isometry of Triangles Congruence
  86.    wt: 5:   2 Correspondence between Triangles
  87.    wt: 5:   Short Course on Euclidean Geometry
  88.    wt: 5:   5 Zero Movement and Additive Inverses
  89.    wt: 5:   4 Adding Movements wiht opposite directions
  90.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  91.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  92.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  93.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  94.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  95.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  96.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  97.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  98.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  99.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  100.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  101.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  102.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  103.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  104.    wt: 5:   5 Remainder Arithmetic Modulo 5
  105.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  106.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  107.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  108.    wt: 5:   1 Remainder Arithmetic Modulo 10
  109.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  110.    wt: 5:   5 Decimal Fraction Multiplication
  111.    wt: 5:   4 Two and Three Digit Multipliers
  112.    wt: 5:   5 A Tip for Efficent Subtraction
  113.    wt: 4:   5 Function notation for geometric transformations
  114.    wt: 4:   16 cotangent function Definition Graph and Inverse
  115.    wt: 4:   15 cosecant function Definition Graph and Inverse
  116.    wt: 4:   14 secant function Definition Graph and Inverse
  117.    wt: 4:   13 cosecant function Definition Graph and Inverse
  118.    wt: 4:   12 motivation for term arctan
  119.    wt: 4:   11 arctan left inverse of tangent Graph
  120.    wt: 4:   10 arctan left inverse of tangent Definition
  121.    wt: 4:   9 motivation for name arcsin
  122.    wt: 4:   8 arcsin left inverse of sine Graph
  123.    wt: 4:   7 arcsin left inverse of sine Definition
  124.    wt: 4:   6 Graph of arccos function
  125.    wt: 4:   5 Swapping Coordinates is a reflection
  126.    wt: 4:   4 possible motivation for term arccos
  127.    wt: 4:   3 Left Inverse of cosine arccos definition
  128.    wt: 4:   2 cosine function more properties
  129.    wt: 4:   1 cosine function properties
  130.    wt: 4:   11 Component Method
  131.    wt: 4:   10 Parallelogram Addition Method
  132.    wt: 4:   6 Vectors with Coordinates
  133.    wt: 4:   Vector and Complex Number Applet
  134.    wt: 4:   4 graphing y=Asin(x c)
  135.    wt: 4:   Parallel Lines and Parallel Transversals
  136.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  137.    wt: 4:   Triangle Angles Sum To 180 Degrees
  138.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  139.    wt: 4:   Parallel Lines and Interior Angles
  140.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  141.    wt: 4:   Straight Lines ASA Intersection Study More
  142.    wt: 4:   Straight Lines ASA Intersection Study
  143.    wt: 4:   Straight Lines Instersection Solving Equations
  144.    wt: 4:   17 tangent function angle sum formulas
  145.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  146.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  147.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  148.    wt: 4:   32 seven rows of pascals triangle
  149.    wt: 4:   31 basic secant cosecant cotangent trig identities
  150.    wt: 4:   29 secant cosecant and cotangent for acute angles
  151.    wt: 4:   28 Expressing products of sines cosines as sums
  152.    wt: 4:   27 Logarithmic use of products of sines and cosines
  153.    wt: 4:   26 Formulas for products of sines and cosines
  154.    wt: 4:   25 tangent double angle formula Slope connection
  155.    wt: 4:   24 tangent Angle Difference Formula
  156.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  157.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  158.    wt: 4:   21 sine and cosine Half Angle Formulas
  159.    wt: 4:   20 sine and cosine Double Angle Formulas
  160.    wt: 4:   19 Pythagorean Identity For sine and cosine functions
  161.    wt: 4:   18 sum of sinusoidal waves as a single wave
  162.    wt: 4:   17G Pythagorean Theorem Converse
  163.    wt: 4:   17F Law of cosines
  164.    wt: 4:   17E Trig Formulas for dot and cross Products
  165.    wt: 4:   17D cis formulas for sine cosines and tangent
  166.    wt: 4:   17C sine and cosine double triple angle formulas
  167.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  168.    wt: 4:   17A The complex number valued trig function cis
  169.    wt: 4:   16 Right Triangle Complementary Angle Relations
  170.    wt: 4:   15 sine cosine Complementary Angle Relations
  171.    wt: 4:   14 cosine even and sine and tangent are odd
  172.    wt: 4:   13 Graph of tangent function many periods
  173.    wt: 4:   12 Graph of tangent function for one period
  174.    wt: 4:   11 tangent function undefined when terminal side vertical
  175.    wt: 4:   10 Graphs of sines and cosines many periods
  176.    wt: 4:   9 Graphs of sine and cosine over one period
  177.    wt: 4:   6 sines and cosines for reference angle 30 degrees
  178.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  179.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  180.    wt: 4:   3 sines and cosines for reference angle 90 degrees
  181.    wt: 4:   2 Quadrant I reference Angles
  182.    wt: 4:   1 Unit Points Reflections Rotations
  183.    wt: 4:   8 Unit Circle Development of Trigonometry
  184.    wt: 4:   8 Triangles Cascade Problem Solving
  185.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  186.    wt: 4:   1 Angle Measurement with Degrees
  187.    wt: 4:   8 Distance Between Points on a Line
  188.    wt: 4:   7 Complex Numbers Appetizer
  189.    wt: 4:   PS H Distributive Law For Complex Numbers
  190.    wt: 4:   PS G Rotation Distributes over Addition
  191.    wt: 4:   PS F Scalar Multiplication Distributes over Addition
  192.    wt: 4:   PS E Multiplication with Polar Coordinates
  193.    wt: 4:   PS D Addition with Cartesian Coordinates
  194.    wt: 4:   21 Parallelograms
  195.    wt: 4:   19 Right Triangle Similarity
  196.    wt: 4:   18 Triangle Similarity Take 1
  197.    wt: 4:   17 Right Bisectors of Triangle Sides
  198.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  199.    wt: 4:   14 Parallel Lines Postulate
  200.    wt: 4:   13 Angle Side Angle Failure
  201.    wt: 4:   12 Side Angle Side Failure
  202.    wt: 4:   11 Triangle Construction Fails
  203.    wt: 4:   10 Dropping a perpendicular to line
  204.    wt: 4:   9 Construction of a right bisector
  205.    wt: 4:   8 Isoceles Triangles
  206.    wt: 4:   7 Angle Side Angle
  207.    wt: 4:   6 Ruler and compass Angle Bisection
  208.    wt: 4:   1 Initial Concepts and Terms
  209.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  210.    wt: 4:   4 Angles on Maps Plans drawn to scale
  211.    wt: 4:   5 lengths and signs of numbers
  212.    wt: 4:   4 signed coordinates for regions in space
  213.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  214.    wt: 4:   26 Divisibility by 2 3 5 Example
  215.    wt: 4:   Long Division Backwards more
  216.    wt: 4:   Long Division Backward
  217.    wt: 4:   Division with Counts and Length
  218.    wt: 4:   Long Division forwards and backwards Example 3
  219.    wt: 4:   Long Division forwards and backwards Example 2
  220.    wt: 4:   Long Division forwards and backwards Example 1
  221.    wt: 4:   12 Why Long Division Works Take III
  222.    wt: 4:   11 Another Single Digit Divisor Example
  223.    wt: 4:   10 Division by Five Long and Short Ways
  224.    wt: 4:   9 Why Long Division Works Take II
  225.    wt: 4:   8 Correcting the Mistake
  226.    wt: 4:   7 Long Divison Mistake Catching
  227.    wt: 4:   3 Division Single Digit Divisor Example
  228.    wt: 4:   2 Division with Single Digit Divisors
  229.    wt: 4:   1 Divsion Physical Examples
  230.    wt: 4:   D Decimal Multiplication Methods Derived
  231.    wt: 4:   A Elementary Basis for Multiplication Methods
  232.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  233.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  234.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  235.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  236.    wt: 4:   5. How to add decimals C. Examples
  237.    wt: 4:   4. How to add with decimals B with conversions
  238.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  239.    wt: 4:   3 Two Chain Rule Method Exercises
  240.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  241.    wt: 3:   geometric implications for algebra
  242.    wt: 3:   problemes algebre et arithmetique
  243.    wt: 3:   4 Function notation in and beyond mathematics
  244.    wt: 3:   5 quadratics completing the square
  245.    wt: 3:   9 Summary Degrees to Radians and back
  246.    wt: 3:   8 Radian Measures of Common Angles
  247.    wt: 3:   7 Radian Measures in special Triangles
  248.    wt: 3:   6 Radian Measure to Degrees
  249.    wt: 3:   5 Degrees to Radian Measure
  250.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  251.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  252.    wt: 3:   2 Radian Measure Numerical Value of one degree
  253.    wt: 3:   1 Degrees and Radians Introduction
  254.    wt: 3:   A Global Time and Navigation
  255.    wt: 3:   15 Dot and Cross Product
  256.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  257.    wt: 3:   13 Velocity Vectors in Physics
  258.    wt: 3:   12 From Applied To Pure Mathematics
  259.    wt: 3:   9 Head to Tail Coordinate View
  260.    wt: 3:   8 Parallel Vectors
  261.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  262.    wt: 3:   3 Navigation with Arrows or Vectors
  263.    wt: 3:   2 Signed Coordinates
  264.    wt: 3:   1 Unsigned Coordinates
  265.    wt: 3:   3 graphing y=f(x c) plus K
  266.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  267.    wt: 3:   1 graphing y=f(x a)
  268.    wt: 3:   Straight Lines Intersection of
  269.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  270.    wt: 3:   C Straight Lines Slope from Coordinates
  271.    wt: 3:   B Straight Line Slope Scaling Properties More
  272.    wt: 3:   A Straight Line Slope Scaling Properties
  273.    wt: 3:   14 Straight Lines Equations General Case
  274.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  275.    wt: 3:   12 Straight Lines Graphing mx plus b
  276.    wt: 3:   11 Straight Lines Graphing y=mx
  277.    wt: 3:   10 Straight Lines through Origin Equations More
  278.    wt: 3:   9 Straight Lines through Origin Equations
  279.    wt: 3:   8 Straight Lines Equation for vertical
  280.    wt: 3:   7 Tangent Function is odd on this domain
  281.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  282.    wt: 3:   5 Tangent Function Graph
  283.    wt: 3:   4 Tangent Function Properties
  284.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  285.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  286.    wt: 3:   1 Straight Lines Slope Concept
  287.    wt: 3:   21 Logarithms Powers and Exponentials
  288.    wt: 3:   20 N th Roots of Complex Numbers
  289.    wt: 3:   19 N th Roots of Unity
  290.    wt: 3:   18 Sixth Roots of Unity
  291.    wt: 3:   17 Cube Roots of unity
  292.    wt: 3:   16 References and Originality Question
  293.    wt: 3:   15 Pythagorean Theorem Converse
  294.    wt: 3:   14 Law of cosines
  295.    wt: 3:   13 Trig Formulas for dot and cross Products
  296.    wt: 3:   12 cis formulas for sine cosines and tangent
  297.    wt: 3:   11 sine and cosine double triple angle formulas
  298.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  299.    wt: 3:   9 The complex number valued trig function cis
  300.    wt: 3:   7 Second Way to Calculate Products
  301.    wt: 3:   6 Field Properties of Complex Number
  302.    wt: 3:   3 Addition Properties
  303.    wt: 3:   2 Complex Numbers made easier we hope
  304.    wt: 3:   1 Rectangular Polar Coordinates Review
  305.    wt: 3:   13 Pythagorean spatial distance formulas
  306.    wt: 3:   12 Spatial Coordinates
  307.    wt: 3:   11 Triangle Inequality
  308.    wt: 3:   10 Pythagorean plane distance formula
  309.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  310.    wt: 3:   6 Polar Multiplication and Rotation
  311.    wt: 3:   3 Rectangular Coordinates Review
  312.    wt: 3:   2 Cartesian Coordinates with signs
  313.    wt: 3:   1 Cartesian Coordinates sans signs
  314.    wt: 3:   A Measurement with Ruler Proper Use
  315.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  316.    wt: 3:   6 Figuring with Maps Not to Scale
  317.    wt: 3:   3 Lengths and Areas on Maps and Plans
  318.    wt: 3:   2 Measuring Area Directly
  319.    wt: 3:   1 Length Measurement
  320.    wt: 3:   About Folder Contents
  321.    wt: 3:   5 Distributive Law for Whole Numbers
  322.    wt: 3:   4 Commutative Law Groups Counting Form
  323.    wt: 3:   5 Independent versus Dependent Variables
  324.    wt: 3:   4 Changing Letters
  325.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  326.    wt: 3:   4 GE III Animated Examples
  327.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  328.    wt: 3:   4 Subset Builder Notation
  329.    wt: 3:   3 Counting with Sets etc
  330.    wt: 3:   4 Greater More Less Than Signs in General
  331.    wt: 3:   D Remainders Modulo 11 Pair Rule
  332.    wt: 3:   B Integer Long Division Multiple Choices
  333.    wt: 3:   A Associative Law Theorectical Note
  334.    wt: 3:   13 Subtraction with Additive Inverse
  335.    wt: 3:   12 Adding Integers More Examples
  336.    wt: 3:   11 Adding Integers Formulas and Examples
  337.    wt: 3:   10 Integer Multiplication Formulas
  338.    wt: 3:   9 Multiplying Integers
  339.    wt: 3:   8 Multiplication by Signed Numbers Integers
  340.    wt: 3:   7 Multiplication by Signs
  341.    wt: 3:   6 Multiplication by Natural Numbers
  342.    wt: 3:   3 Adding Movements with same direction
  343.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  344.    wt: 3:   1 Integers as Coordinates
  345.    wt: 3:   5 Prime Factorization and a Square Rule
  346.    wt: 3:   4 video Prime Factorization Introduction
  347.    wt: 3:   C Counting Areas with Powers of Ten
  348.    wt: 3:   B Powers of Ten
  349.    wt: 3:   6 Multiplication Commutes Order Not Important
  350.    wt: 3:   3 More One Digit Multipliers
  351.    wt: 3:   2 One Digit Multipliers
  352.    wt: 3:   Video Power Notation in Decimal Expansion
  353.    wt: 3:   1 Why 3 times 5 gives 15
  354.    wt: 3:   Subtraction with J Conversions Example
  355.    wt: 3:   Subtraction Another Video Lesson
  356.    wt: 3:   9 22 Minute Subtraction Review Video
  357.    wt: 3:   8 Subtraction with Units of Measure
  358.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  359.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  360.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  361.    wt: 3:   2 Subtraction Easy Case Examples
  362.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  363.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  364.    wt: 3:   8 What skills and work habits to require
  365.    wt: 3:   7 Adding decimal fractions using decimal point
  366.    wt: 3:   6. Counting and adding units and mixed units
  367.    wt: 3:   3. How to add with decimals A sans conversions
  368.    wt: 3:   2 Decimal Counting Practices
  369.    wt: 3:   1. Explaining Addition Table
  370.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  371.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  372.    wt: 3:   Example 1. Area Between x and x squared
  373.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  374.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  375.    wt: 3:   Area Between Curves Lesson Take 2
  376.    wt: 3:   A Related Material in Volume 3
  377.    wt: 3:   5 Area Under Curve Exercise
  378.    wt: 3:   4 Definite Integrals Evaluation Exercises
  379.    wt: 3:   2 Indefinite Integrals Exercises
  380.    wt: 3:   1 Chain Rule in Reverse Integration Method
  381.    wt: 3:   4 Second derivative test exercise example
  382.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  383.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  384.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  385.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  386.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  387.    wt: 2:   8 analytic geometry etc
  388.    wt: 2:   5 logarithms and exponentials etc
  389.    wt: 2:   three goals to set for students
  390.    wt: 2:   5 Patience Please for Yourself and Your Charges
  391.    wt: 2:   4 Learning Takes Time and Effort
  392.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  393.    wt: 2:   19 Horizontal line rule and method
  394.    wt: 2:   18 Vertical Line Rule and Method
  395.    wt: 2:   11 Function Domain Range Source and Targets
  396.    wt: 2:   9 Set theory term relation possible origins
  397.    wt: 2:   8 Set view of relations and functions
  398.    wt: 2:   6 Set Existence Formation and Notation
  399.    wt: 2:   1 Geometric Introduction of Function Notation
  400.    wt: 2:   4 quadratics difference of two squares
  401.    wt: 2:   5 Natural Logarithm Calculator Exercises
  402.    wt: 2:   E Long Division Methods more
  403.    wt: 2:   D Long Division Methods
  404.    wt: 2:   C Three Decimal Subtraction Methods
  405.    wt: 2:   A Decimal Addition Columm Methods
  406.    wt: 2:   8 Column Multiplication Methods in General
  407.    wt: 2:   7 Decimals Multiplication Methods Examples
  408.    wt: 2:   6 Column Methods for Decimal Multiplication
  409.    wt: 2:   5 Proportionality in Equivalent Fractions
  410.    wt: 2:   4 Rates Ratios and Proporitionality
  411.    wt: 2:   5 Rational Numbers More
  412.    wt: 2:   4 Rational Numbers
  413.    wt: 2:   3 Geometric Formulas and Function Notation
  414.    wt: 2:   4 Solving a triangular system exercise
  415.    wt: 2:   5 Algebraic Solutions Introduction
  416.    wt: 2:   4 Four Examples Fractional Coefficients
  417.    wt: 2:   5 Three Examples
  418.    wt: 2:   4 Two Examples
  419.    wt: 2:   9 Sets in Probability and Statistics
  420.    wt: 2:   8 Sets of Numbers
  421.    wt: 2:   7 Cautious or Safe Set Construction
  422.    wt: 2:   6 Power Set Notation
  423.    wt: 2:   5 Product Builder Notation
  424.    wt: 2:   1 Finite Sets
  425.    wt: 2:   arithmetic videos Real Player Format
  426.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  427.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  428.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  429.    wt: 2:   2 Least Common Multiple LCM intro via list method
  430.    wt: 2:   1 Counting and Counting Methods I
  431.    wt: 2:   11 What are real lengths and numbers
  432.    wt: 2:   10 dividing signed numbers
  433.    wt: 2:   9 subtracting signed numbers
  434.    wt: 2:   8 multiplying signed numbers
  435.    wt: 2:   7 negative and additive inverse
  436.    wt: 2:   6 adding signed numbers
  437.    wt: 2:   3 signed coordinates for maps and planes
  438.    wt: 2:   2 signed and unsigned numbers as coordinates
  439.    wt: 2:   7 Converting or Changing Units
  440.    wt: 2:   6 Simplification of Fractions with Units
  441.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  442.    wt: 2:   4 Fractions with Units
  443.    wt: 2:   3 Multiplying Units and Numbers
  444.    wt: 2:   2 Equality and Units
  445.    wt: 2:   1 Addition and Subtraction with Units
  446.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  447.    wt: 2:   5 Equivalent Fractions
  448.    wt: 2:   4 Fraction Multiplication
  449.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  450.    wt: 2:   Exact Arithmetic Wholes and Fractions
  451.    wt: 2:   5 Conversion Arithmetic
  452.    wt: 2:   Example 1 volume of a pyramid
  453.    wt: 2:   Area Between Curves Lesson Take 1
  454.    wt: 2:   3 Second derivative test
  455.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  456.    wt: 2:   5 Jumps and absence of unlimited error control
  457.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  458.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  459.    wt: 2:   Chapter 23 Links To Trigonometry
  460.    wt: 2:   Chapter 11. Graphing Slope versus Position
  461.    wt: 2:   Chapter 8. Slope Interpretation
  462.    wt: 2:   Chapter 5. Slope Sign Tests
  463.    wt: 2:   Chapter 4. More Slope Sign Analysis
  464.    wt: 2:   Fall 1983 Calculus Appetizer
  465.    wt: 2:   Postscript More on Better Performance
  466.    wt: 2:   Postscript For Better Performance
  467.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  468.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  469.    wt: 2:   Chapter 19. Functions and Sets
  470.    wt: 2:   Solutions For Arithmetic Exercises
  471.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  472.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  473.    wt: 2:   Chapter 4 Longer Chains of Reason
  474.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  475.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  476.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  477.    wt: 2:   Chapter 5 Deception
  478.    wt: 2:   Chapter 6 More Algebra and Geometry
  479.    wt: 2:   Chapter 2 Why Sets
  480.    wt: 2:   Chapter 1 Arithmetic
  481.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  482.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  483.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  484.    wt: 1:   Appendix 2 primary school Arithmetic 01
  485.    wt: 1:   Skills Chapter 2 Geometry
  486.    wt: 1:   Skills Chapter 1 Arithmetic
  487.    wt: 1:   9 combinatorics probability sets
  488.    wt: 1:   6 polynomials etc
  489.    wt: 1:   4 algebra
  490.    wt: 1:   3 Euclidean Geometry Leanly
  491.    wt: 1:   2 arithmetic with signed numbers
  492.    wt: 1:   1 arithmetic with unsigned numbers
  493.    wt: 1:   Teach the teachers plus goals
  494.    wt: 1:   site origins
  495.    wt: 1:   site eurekas
  496.    wt: 1:   Postscript 2007 01 10
  497.    wt: 1:   how letters appear
  498.    wt: 1:   What to Tell Students
  499.    wt: 1:   mathematics curriculum shifts
  500.    wt: 1:   05 13 OldSiteEntrancePage
  501.    wt: 1:   04 29 New Mathematics Curriculum
  502.    wt: 1:   04 25 when to stop or suspend mathemat
  503.    wt: 1:   formal or informal peer review
  504.    wt: 1:   Theory of Knowledge
  505.    wt: 1:   mathematics instruction in general
  506.    wt: 1:   Education in mathematics science and technology
  507.    wt: 1:   How to be a better instructor
  508.    wt: 1:   need for a mixed mathematics curriculum
  509.    wt: 1:   Leaner mathematics curriculum
  510.    wt: 1:   words for mathematics instructor
  511.    wt: 1:   liens
  512.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  513.    wt: 1:   problemes responses
  514.    wt: 1:   Trois Notions qui menent a algebre
  515.    wt: 1:   deux definitions pour variable
  516.    wt: 1:   logique deux enigme
  517.    wt: 1:   4 Energy Power Heat09
  518.    wt: 1:   E Energy Power05
  519.    wt: 1:   D Energy Power04
  520.    wt: 1:   F Wire Resistance Calculation04
  521.    wt: 1:   2 Unlike resistors in parallel01
  522.    wt: 1:   D Kirchoff First Law
  523.    wt: 1:   C Electromotive force conventional current02
  524.    wt: 1:   17 Math Booklets for children and young teenagers
  525.    wt: 1:   Ages 12 to 14 Geometry
  526.    wt: 1:   Ages 12 to 14 Arithmetic
  527.    wt: 1:   Ages 10 to 12 Geometry
  528.    wt: 1:   Ages 10 to 12 Arithmetic
  529.    wt: 1:   Ages 6 to 7
  530.    wt: 1:   Ages 4 plus to 5 plus
  531.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  532.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  533.    wt: 1:   sign monoticity analysis example 4
  534.    wt: 1:   sign monoticity analysis example 3
  535.    wt: 1:   sign monoticity analysis example 2
  536.    wt: 1:   sign monoticity analysis example 1
  537.    wt: 1:   26 Function definitions done and coming
  538.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  539.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  540.    wt: 1:   23 Inverse Functions
  541.    wt: 1:   22 Square Root function graphically
  542.    wt: 1:   20 Interchanging coordinates a reflection
  543.    wt: 1:   17 Function maxima minima and their location
  544.    wt: 1:   16 Increasing or decreasing on intervals
  545.    wt: 1:   15 Sign analysis of functions
  546.    wt: 1:   14 Surjections Injections Bijections
  547.    wt: 1:   13 From one to one to many to one
  548.    wt: 1:   12 Function Domain Recognition Exercises
  549.    wt: 1:   10 Interval Notation
  550.    wt: 1:   7 Functions with finite domains
  551.    wt: 1:   3 Formula or function graphing exercise
  552.    wt: 1:   2 Algebraic use of function notation
  553.    wt: 1:   Introduction Reading Guide
  554.    wt: 1:   A Quadratics Summary
  555.    wt: 1:   10 quadratic exercises
  556.    wt: 1:   9 quadratics physical and further context
  557.    wt: 1:   8 quadratics backward use of various formulas
  558.    wt: 1:   7 quadratic formulla derivation
  559.    wt: 1:   6 quadratics numerical approach
  560.    wt: 1:   3 quadratics factoring by inspection
  561.    wt: 1:   2 quadratics graphing in general
  562.    wt: 1:   1 quadratics graphing exercises
  563.    wt: 1:   Quadratics in 10 steps
  564.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  565.    wt: 1:   4 Polynomials Long division linear divisor
  566.    wt: 1:   2 Column Multiplication Method
  567.    wt: 1:   A Modular and Remainder Arithmetic
  568.    wt: 1:   A Signed Number Arithmetic Review
  569.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  570.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  571.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  572.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  573.    wt: 1:   4 Location of Point in Decimal Addition
  574.    wt: 1:   B Decimal Comparison and Subtraction
  575.    wt: 1:   3 Multiplicative Counting Skills Principles
  576.    wt: 1:   2 Combing Counts Addition Skills and Principles
  577.    wt: 1:   1 The Counting Origins of Numbers
  578.    wt: 1:   5 Areas of Rectangles Revisited
  579.    wt: 1:   4 Fraction Operations Axiomatic Development
  580.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  581.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  582.    wt: 1:   5 Triangle Area Formula Backwards
  583.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  584.    wt: 1:   5 Equality in Algebra
  585.    wt: 1:   4 Subtraction and Division Axioms
  586.    wt: 1:   5 Greater More Less Than Signs in General
  587.    wt: 1:   4 Comparison of Negative Numbers
  588.    wt: 1:   16 Real Numbers Comparison
  589.    wt: 1:   15 Real Number Division
  590.    wt: 1:   14 Real Number Multiplication
  591.    wt: 1:   13 Real Number Subtraction
  592.    wt: 1:   12 Real Number Additive Inverses or Negatives
  593.    wt: 1:   11 Real Number Addition
  594.    wt: 1:   10 Real Number Lengths and Signs
  595.    wt: 1:   9 Coordinates for Regions in Space
  596.    wt: 1:   8 Coordinates for Maps and Planes
  597.    wt: 1:   7 Real Numbers as Line Cordinates
  598.    wt: 1:   6 Unsigned Real Numbers
  599.    wt: 1:   3 Fractions
  600.    wt: 1:   2 Integers
  601.    wt: 1:   1 Whole and Natural Numbers
  602.    wt: 1:   2 Computation Rules Evaluation
  603.    wt: 1:   1 Formulas Dependence and Function Notation
  604.    wt: 1:   More Exercises
  605.    wt: 1:   Simple Exercises
  606.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  607.    wt: 1:   3 GE III Equation Addition and Multiplication
  608.    wt: 1:   2 GE II Comparison
  609.    wt: 1:   1 GE Substitution four examples
  610.    wt: 1:   Using Letters for Physical Quantities
  611.    wt: 1:   5 Box Volume Formula Example
  612.    wt: 1:   4 Circle Area Formula Example
  613.    wt: 1:   2 Venn Diagrams
  614.    wt: 1:   5 Talking about Numbers and Quantities
  615.    wt: 1:   4 A Brief Story of numbers and algebra
  616.    wt: 1:   3 Adding Words To Arithmetic
  617.    wt: 1:   3 Comparison of Negative Numbers
  618.    wt: 1:   2 More and Less Than with Unlike Signs
  619.    wt: 1:   1 More and Less Than for Counts and Measures
  620.    wt: 1:   5 Square Roots with primes more still
  621.    wt: 1:   4 Square Roots with primes more
  622.    wt: 1:   3 Properties of Square Roots with example
  623.    wt: 1:   2 Square Roots with Prime
  624.    wt: 1:   1 Squares and Square Roots Introduction
  625.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  626.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  627.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  628.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  629.    wt: 1:   13 GCD from given Prime Factorization
  630.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  631.    wt: 1:   8 GCD from Euclidean Algorithm
  632.    wt: 1:   7 GCD and LCM from prime factorization
  633.    wt: 1:   6 GCD from Prime
  634.    wt: 1:   5 Common Divisors 60 45 via Prime
  635.    wt: 1:   4 LCM of 8 and 10 via Prime
  636.    wt: 1:   1 Least Common Multiples LCM Introduction
  637.    wt: 1:   12 GCD 2700 288 via Prime
  638.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  639.    wt: 1:   4 Counting with Trees Product Rule Take I
  640.    wt: 1:   3 Counting with Tables and Trees II
  641.    wt: 1:   2 Counting with Tables and Trees I
  642.    wt: 1:   D Three Term Ratios
  643.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  644.    wt: 1:   B Fractions and Two Term Ratios
  645.    wt: 1:   22 Complex Compound Fractions
  646.    wt: 1:   21 Working With Signs
  647.    wt: 1:   21 Reciprocals for Fractions and Wholes
  648.    wt: 1:   20 Dividing Fractions the Why
  649.    wt: 1:   19 Dividing Fractions How TO
  650.    wt: 1:   18 Efficient Ways to Multiply
  651.    wt: 1:   17 Efficient Ways to Add and Subtract
  652.    wt: 1:   16 Addition Subtraction Comparision Compared
  653.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  654.    wt: 1:   14 Adding and Subtracting with Like Denominators
  655.    wt: 1:   13 Fraction Comparison Algebraic View
  656.    wt: 1:   12 Fraction Comparison
  657.    wt: 1:   11 Simplification an Algebraic View
  658.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  659.    wt: 1:   9 Improper Fractions and Mixed Numbers
  660.    wt: 1:   8 Numerals Fractionals Quantals Take II
  661.    wt: 1:   7 Numerals Fractionals Quantals
  662.    wt: 1:   6 Multiplication of Mixed Numbers
  663.    wt: 1:   6 Multiplication Algebraically Take II
  664.    wt: 1:   3 Unit fraction of a fraction
  665.    wt: 1:   2 Unit Fraction Multiplication
  666.    wt: 1:   1 What is a fraction Take II
  667.    wt: 1:   1 What is a fraction
  668.    wt: 1:   20 Uniqueness of Prime Factorization
  669.    wt: 1:   19 video Prime Factorization Unique
  670.    wt: 1:   18 video Count Factors given Prime Factorization
  671.    wt: 1:   17 Identify and Count Factors using Primes
  672.    wt: 1:   16 video Factors of 980 using prime
  673.    wt: 1:   15 video Factors of 20 using Prime Factorization
  674.    wt: 1:   14 video Factors of 24 Take II
  675.    wt: 1:   13 video Factors of 24 using prime
  676.    wt: 1:   12 LCD GCD and LCM using Primes
  677.    wt: 1:   11 Efficient Square Rule Use
  678.    wt: 1:   10 video Prime Factorization upto 23 squared
  679.    wt: 1:   9 video Prime Factorization upto 19 squared
  680.    wt: 1:   8 video Prime Factorization upto 19
  681.    wt: 1:   7 Calculator Usage Notes and Cautions
  682.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  683.    wt: 1:   3 video Primes and Composites from 9 times table
  684.    wt: 1:   2 Prime and Composites less than 16
  685.    wt: 1:   1 video how Products are bigger than factor
  686.    wt: 1:   11 Place Value SI Standard International way
  687.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  688.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  689.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  690.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  691.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  692.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  693.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  694.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  695.    wt: 1:   Quick history of numbers and algebra
  696.    wt: 1:   Formula Evaluation how to show work
  697.    wt: 1:   Expression Evaluation how to show work
  698.    wt: 1:   The 20 Times Table
  699.    wt: 1:   The 12 Times Table Visually
  700.    wt: 1:   About folder contents
  701.    wt: 1:   4 Mixing and Changing Units of Time
  702.    wt: 1:   Example 2 volume of a cone
  703.    wt: 1:   Volume of Solid by Cross Sections Lesson
  704.    wt: 1:   Example 4 with x function of y
  705.    wt: 1:   Example 3
  706.    wt: 1:   Example 2
  707.    wt: 1:   Example 1
  708.    wt: 1:   Summary
  709.    wt: 1:   A Related lessons in Volume 3
  710.    wt: 1:   2 Second derivative test prequel
  711.    wt: 1:   17 Derivatives of quotients of sine and cosine
  712.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  713.    wt: 1:   15 sine and cosine derivatives 3rd step
  714.    wt: 1:   14 sine and cosine derivatives 2nd step
  715.    wt: 1:   13 sine and cosine derivatives 1st step
  716.    wt: 1:   5 Product Rule
  717.    wt: 1:   4 Sum Rule
  718.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  719.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  720.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  721.    wt: 1:   4 Numerical properties
  722.    wt: 1:   C Triangle Inequalities
  723.    wt: 1:   PostScript For and Against Decimal Perspectives
  724.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  725.    wt: 1:   Chapter 22 Complex Numbers
  726.    wt: 1:   Chapter 21 Arrow Addition
  727.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  728.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  729.    wt: 1:   Chapter 18. Slopes Areas Integration
  730.    wt: 1:   Chapter 17. Area Approximation
  731.    wt: 1:   Chapter 16. Velocity Approximation
  732.    wt: 1:   Chapter 15. Slope Approximation
  733.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  734.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  735.    wt: 1:   Chapter 13. Acceleration
  736.    wt: 1:   Chapter 12. Units and Slopes
  737.    wt: 1:   Chapter 10 Slopes and Units
  738.    wt: 1:   Chapter 9 About First Courses in Calculus
  739.    wt: 1:   Chapter 7 Slopes and Velocity
  740.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  741.    wt: 1:   Chapter 3. Slope Sign Analysis
  742.    wt: 1:   Chapter 2. Slopes and Ski Trails
  743.    wt: 1:   Chapter 1.Introduction
  744.    wt: 1:   Foreword
  745.    wt: 1:   Appendix E. How To Study Mathematics and Why
  746.    wt: 1:   Appendix D. What to do in School and Why
  747.    wt: 1:   Appendix C. How to Read
  748.    wt: 1:   Appendix B. How To Learn
  749.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  750.    wt: 1:   Chapter 31 Direct and Indirect Reason
  751.    wt: 1:   Chapter 30 Truth Tables
  752.    wt: 1:   Chapter 28 Occurrence Tables
  753.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  754.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  755.    wt: 1:   Chapter 25. Mathematical Induction Examples
  756.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  757.    wt: 1:   Chapter 23. Notation For Sums
  758.    wt: 1:   Chapter 21. Third Reading Guide
  759.    wt: 1:   Chapter 20. Degrees and Radians
  760.    wt: 1:   Chapter 18. Rules for Algebra
  761.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  762.    wt: 1:   Chapter 16. Painless Theorem Proving
  763.    wt: 1:   Chapter 15. Solving Linear Equations
  764.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  765.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  766.    wt: 1:   Chapter 13. Second Reading Guide
  767.    wt: 1:   Chapter 12. Shorthand Usage Guide
  768.    wt: 1:   Chapter 11. Why Shorthand
  769.    wt: 1:   Chapter 10 Describing and Changing Calculations
  770.    wt: 1:   Postscript What is a Variable
  771.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  772.    wt: 1:   Chapter 8 Three Skills For Algebra
  773.    wt: 1:   Chapter 6 Change of Language
  774.    wt: 1:   Chapter 3 Chains of Reason
  775.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  776.    wt: 1:   Foreword
  777.    wt: 1:   Chapter 7 Two Treatments of Geometry
  778.    wt: 1:   Chapter 5 Four References
  779.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  780.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  781.    wt: 1:   Postscript C Consistency as a Tool for Reason
  782.    wt: 1:   Postscript B More on Story Telling and Reason
  783.    wt: 1:   Postscript A Story Telling
  784.    wt: 1:   Chapter 24 Direct and Indirect Reason
  785.    wt: 1:   Chapter 23 Truth Tables
  786.    wt: 1:   Chapter 21 Occurrence Tables
  787.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  788.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  789.    wt: 1:   Chapter 18 Sense and Knowledge
  790.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  791.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  792.    wt: 1:   Chapter 15 Objective Processes
  793.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  794.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  795.    wt: 1:   Chapter 11 Accidental Patterns
  796.    wt: 1:   Chapter 10 Responsibility
  797.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  798.    wt: 1:   Chapter 8 Change of Language
  799.    wt: 1:   Chapter 7 Longer Chains of Reason
  800.    wt: 1:   Chapter 6 Chains of Reason
  801.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  802.    wt: 1:   Chapter 2 Skill Development
  803.    wt: 1:   Chapter 1 Introduction
  804.    wt: 1:   Three Remarks
  805.    wt: 1:   Foreword
  806.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  807.    wt: 1:   M Words to extend arithmetic
  808.    wt: 1:   E. When and how to correct errors
  809.    wt: 1:   D. Check work a must with a caution
  810.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  811.    wt: 1:   Chapter 8 Skipped Topics and Why
  812.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  813.    wt: 1:   Chapter 3 Algebra Starter Lessons
  814.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  815.    wt: 1:   7 Games and Activities for Instruction
  816.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  817.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  818.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  819.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  820.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  821.    wt: 1:   More Algebra and Slope based Calculus Preview
  822.    wt: 1:   Which Way To Go
  823.    wt: 1:   Road Safety Questions
  824.    wt: 11:   chapitre 04 05 Implication versus suggestion
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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.