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: 5:   8 Unit Circle Trigonometry/
  3.    wt: 4:   4 Lines and Slopes Take 1/
  4.    wt: 4:   8 Arithmetic with Signed Numbers/
  5.    wt: 4:   4 Remainder Arithmetic and Divisibility/
  6.    wt: 4:   D Decimal Long Division Methods/
  7.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  8.    wt: 3:   6 Trigonometry first steps/
  9.    wt: 3:   2 Euclidean Geometry Constructions Theory extras/
  10.    wt: 3:   C Decimal Multiplication Methods/
  11.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 3:   A Decimal Counting and Adding Methods/
  13.    wt: 2:   4 Functions/
  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:   3 Cartesian and Polar Coordinates/
  24.    wt: 2:   1 Maps Plans Measurement/
  25.    wt: 2:   Geometry maps plans trigonometry vectors/
  26.    wt: 2:   7 Arithmetic and Fractions with Units/
  27.    wt: 2:   2 Arithmetic with Decimals/
  28.    wt: 1:   francais/
  29.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  30.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  31.    wt: 1:   1 Five Polynomial Operations/
  32.    wt: 1:   More Algebra/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   8 Unifying Theme For Algebra/
  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:   5 Integers/
  44.    wt: 1:   3 Prime Factorization Skills/
  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:   4 Lessons on Using Derivatives/
  49.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  50.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  51.    wt: 1:   Volume 2 Three Skills For Algebra/
  52.    wt: 1:   Volume 1A Pattern Based Reason/
  53.    wt: 1:   Secondary Mathematics A Practical Approach/
  54.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

192 matches:

  1.    wt: 6:   chapitre 04 08 Limitations et benefices
  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 04 Parlons de la logique
  6.    wt: 3:   chapitre 04 00 Les regles d implication
  7.    wt: 2:   8 analytic geometry etc
  8.    wt: 2:   chapitre 12 00 les iles et division
  9.    wt: 2:   chapitre 04 06 engagements
  10.    wt: 2:   chapitre 04 05 Implication versus suggestion
  11.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  12.    wt: 2:   chapitre 04 02 Deuxieme enigme
  13.    wt: 2:   chapitre 04 01 Premiere enigme
  14.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  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:   3 Energy Power Heat08
  46.    wt: 1:   D Energy Power04
  47.    wt: 1:   F Wire Resistance Calculation04
  48.    wt: 1:   17 Math Booklets for children and young teenagers
  49.    wt: 1:   Ages 12 to 14 Geometry
  50.    wt: 1:   Ages 12 to 14 Arithmetic
  51.    wt: 1:   Ages 10 to 12 Geometry
  52.    wt: 1:   Ages 10 to 12 Arithmetic
  53.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  54.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  55.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  56.    wt: 1:   19 Horizontal line rule and method
  57.    wt: 1:   18 Vertical Line Rule and Method
  58.    wt: 1:   11 Function Domain Range Source and Targets
  59.    wt: 1:   9 Set theory term relation possible origins
  60.    wt: 1:   8 Set view of relations and functions
  61.    wt: 1:   6 Set Existence Formation and Notation
  62.    wt: 1:   5 Function notation for geometric transformations
  63.    wt: 1:   1 Geometric Introduction of Function Notation
  64.    wt: 1:   5 quadratics completing the square
  65.    wt: 1:   2 Column Multiplication Method
  66.    wt: 1:   11 Component Method
  67.    wt: 1:   10 Parallelogram Addition Method
  68.    wt: 1:   Vector and Complex Number Applet
  69.    wt: 1:   30 unit circle calculation of six trigonometric functions
  70.    wt: 1:   Unit Circle Development of Trigonometry
  71.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  72.    wt: 1:   8 Unit Circle Development of Trigonometry
  73.    wt: 1:   7 Trignometric Ratios Unit Circle
  74.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  75.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  76.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  77.    wt: 1:   3 Trigonometric Ratios sine and cosine
  78.    wt: 1:   Why Trigonometry the whyslopes view
  79.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  80.    wt: 1:   6 Geometric Diagrams in Class
  81.    wt: 1:   8 Distance Between Points on a Line
  82.    wt: 1:   7 Complex Numbers Appetizer
  83.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  84.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  85.    wt: 1:   PS B Parallelogram Construction Methods
  86.    wt: 1:   PS A Kite Construction Methods
  87.    wt: 1:   16 Angles Subtended By Chords and Diameters
  88.    wt: 1:   3 Isometry of Triangles Congruence
  89.    wt: 1:   2 Correspondence between Triangles
  90.    wt: 1:   Short Course on Euclidean Geometry
  91.    wt: 1:   A Modular and Remainder Arithmetic
  92.    wt: 1:   A Signed Number Arithmetic Review
  93.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  94.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  95.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  96.    wt: 1:   E Long Division Methods more
  97.    wt: 1:   D Long Division Methods
  98.    wt: 1:   C Three Decimal Subtraction Methods
  99.    wt: 1:   A Decimal Addition Columm Methods
  100.    wt: 1:   8 Column Multiplication Methods in General
  101.    wt: 1:   7 Decimals Multiplication Methods Examples
  102.    wt: 1:   6 Column Methods for Decimal Multiplication
  103.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  104.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  105.    wt: 1:   4 Changing Letters
  106.    wt: 1:   3 Geometric Formulas and Function Notation
  107.    wt: 1:   Using Letters for Physical Quantities
  108.    wt: 1:   9 Sets in Probability and Statistics
  109.    wt: 1:   8 Sets of Numbers
  110.    wt: 1:   7 Cautious or Safe Set Construction
  111.    wt: 1:   6 Power Set Notation
  112.    wt: 1:   4 Subset Builder Notation
  113.    wt: 1:   1 Finite Sets
  114.    wt: 1:   3 Adding Words To Arithmetic
  115.    wt: 1:   arithmetic videos Real Player Format
  116.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  117.    wt: 1:   2 Least Common Multiple LCM intro via list method
  118.    wt: 1:   1 Counting and Counting Methods I
  119.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  120.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  121.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  122.    wt: 1:   23 Remainder Arithmetic Modulo 2
  123.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  124.    wt: 1:   21 Remainder Arithmetic Modulo 3
  125.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  126.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  127.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  128.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  129.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  130.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  131.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  132.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  133.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  134.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  135.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  136.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  137.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  138.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  139.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  140.    wt: 1:   5 Remainder Arithmetic Modulo 5
  141.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  142.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  143.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  144.    wt: 1:   1 Remainder Arithmetic Modulo 10
  145.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  146.    wt: 1:   D Decimal Multiplication Methods Derived
  147.    wt: 1:   A Elementary Basis for Multiplication Methods
  148.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  149.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  150.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  151.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  152.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  153.    wt: 1:   Exact Arithmetic Wholes and Fractions
  154.    wt: 1:   5 Conversion Arithmetic
  155.    wt: 1:   Example 1. Area Between x and x squared
  156.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  157.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  158.    wt: 1:   Area Between Curves Lesson Take 2
  159.    wt: 1:   Area Between Curves Lesson Take 1
  160.    wt: 1:   3 Two Chain Rule Method Exercises
  161.    wt: 1:   1 Chain Rule in Reverse Integration Method
  162.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  163.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  164.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  165.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  166.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  167.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  168.    wt: 1:   Chapter 23 Links To Trigonometry
  169.    wt: 1:   Chapter 8. Slope Interpretation
  170.    wt: 1:   Fall 1983 Calculus Appetizer
  171.    wt: 1:   Postscript More on Better Performance
  172.    wt: 1:   Postscript For Better Performance
  173.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  174.    wt: 1:   Chapter 19. Functions and Sets
  175.    wt: 1:   Solutions For Arithmetic Exercises
  176.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  177.    wt: 1:   Chapter 7 Two Treatments of Geometry
  178.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  179.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  180.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  181.    wt: 1:   M Words to extend arithmetic
  182.    wt: 1:   Chapter 6 More Algebra and Geometry
  183.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  184.    wt: 1:   Chapter 2 Why Sets
  185.    wt: 1:   Chapter 1 Arithmetic
  186.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  187.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  188.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  189.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  190.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  191.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  192.    wt: 1:   Road Safety Questions

Extended Search

832 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 04 Parlons de la logique
  5.    wt: 8:   chapitre 04 00 Les regles d implication
  6.    wt: 7:   chapitre 12 00 les iles et division
  7.    wt: 7:   chapitre 04 06 engagements
  8.    wt: 7:   chapitre 04 05 Implication versus suggestion
  9.    wt: 7:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  10.    wt: 7:   chapitre 04 02 Deuxieme enigme
  11.    wt: 7:   chapitre 04 01 Premiere enigme
  12.    wt: 7:   chapitre 03 A Propos Des Prochains Chapitre
  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:   30 unit circle calculation of six trigonometric functions
  20.    wt: 6:   11 tangent function undefined when terminal side vertical
  21.    wt: 6:   7 period of sine and cosine
  22.    wt: 6:   Unit Circle Development of Trigonometry
  23.    wt: 6:   Right Triangle and Unit Circle Trigonometry
  24.    wt: 6:   8 Mid Point Formula
  25.    wt: 6:   4 Equations for lines three forms
  26.    wt: 6:   8 multiplying signed numbers
  27.    wt: 6:   4 signed coordinates for regions in space
  28.    wt: 6:   23 Remainder Arithmetic Modulo 2
  29.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  30.    wt: 6:   21 Remainder Arithmetic Modulo 3
  31.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  32.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  33.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  34.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  35.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  36.    wt: 6:   8 Correcting the Mistake
  37.    wt: 6:   4 Division with 2 Digit Divsors
  38.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  39.    wt: 5:   8 Set view of relations and functions
  40.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  41.    wt: 5:   17 tangent function angle sum formulas
  42.    wt: 5:   35 sines and cosines of 2A 3A 4A 5A
  43.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  44.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  45.    wt: 5:   32 seven rows of pascals triangle
  46.    wt: 5:   31 basic secant cosecant cotangent trig identities
  47.    wt: 5:   29 secant cosecant and cotangent for acute angles
  48.    wt: 5:   28 Expressing products of sines cosines as sums
  49.    wt: 5:   27 Logarithmic use of products of sines and cosines
  50.    wt: 5:   26 Formulas for products of sines and cosines
  51.    wt: 5:   25 tangent double angle formula Slope connection
  52.    wt: 5:   24 tangent Angle Difference Formula
  53.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  54.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  55.    wt: 5:   21 sine and cosine Half Angle Formulas
  56.    wt: 5:   20 sine and cosine Double Angle Formulas
  57.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  58.    wt: 5:   18 sum of sinusoidal waves as a single wave
  59.    wt: 5:   17G Pythagorean Theorem Converse
  60.    wt: 5:   17F Law of cosines
  61.    wt: 5:   17E Trig Formulas for dot and cross Products
  62.    wt: 5:   17D cis formulas for sine cosines and tangent
  63.    wt: 5:   17C sine and cosine double triple angle formulas
  64.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
  65.    wt: 5:   17A The complex number valued trig function cis
  66.    wt: 5:   16 Right Triangle Complementary Angle Relations
  67.    wt: 5:   15 sine cosine Complementary Angle Relations
  68.    wt: 5:   14 cosine even and sine and tangent are odd
  69.    wt: 5:   13 Graph of tangent function many periods
  70.    wt: 5:   12 Graph of tangent function for one period
  71.    wt: 5:   10 Graphs of sines and cosines many periods
  72.    wt: 5:   9 Graphs of sine and cosine over one period
  73.    wt: 5:   8 period of tangent function
  74.    wt: 5:   6 sines and cosines for reference angle 30 degrees
  75.    wt: 5:   5 sines and cosines for reference angle 60 degrees
  76.    wt: 5:   4 sines and cosines for reference angle 45 degrees
  77.    wt: 5:   3 sines and cosines for reference angle 90 degrees
  78.    wt: 5:   2 Quadrant I reference Angles
  79.    wt: 5:   1 Unit Points Reflections Rotations
  80.    wt: 5:   8 Unit Circle Development of Trigonometry
  81.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  82.    wt: 5:   8 Distance Between Points on a Line
  83.    wt: 5:   8 Isoceles Triangles
  84.    wt: 5:   4 Side Side Side
  85.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  86.    wt: 5:   26 Divisibility by 2 3 5 Example
  87.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  88.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  89.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  90.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  91.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  92.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  93.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  94.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  95.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  96.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  97.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  98.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  99.    wt: 5:   5 Remainder Arithmetic Modulo 5
  100.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  101.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  102.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  103.    wt: 5:   1 Remainder Arithmetic Modulo 10
  104.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  105.    wt: 5:   4 Two and Three Digit Multipliers
  106.    wt: 5:   8 Subtraction with Units of Measure
  107.    wt: 4:   4 Function notation in and beyond mathematics
  108.    wt: 4:   8 Parallel Vectors
  109.    wt: 4:   4 Resultant of a Sum of Movements
  110.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  111.    wt: 4:   4 Multiplication Properties
  112.    wt: 4:   Appetizer A Complex Number Applet
  113.    wt: 4:   8 Triangles Cascade Problem Solving
  114.    wt: 4:   7 Trignometric Ratios Unit Circle
  115.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  116.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  117.    wt: 4:   3 Trigonometric Ratios sine and cosine
  118.    wt: 4:   Why Trigonometry the whyslopes view
  119.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  120.    wt: 4:   Four Simple Exercises
  121.    wt: 4:   12 Links Lessons elsewhere
  122.    wt: 4:   11 A Partial Summary
  123.    wt: 4:   10 Midpoint of [a b] and [b a]
  124.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  125.    wt: 4:   7 Exercises to test skill and concept mastery
  126.    wt: 4:   6 Intersection of lines by solving linear systems
  127.    wt: 4:   5 Algebraic View of Slopes
  128.    wt: 4:   3 Slope product for perpendicular lines
  129.    wt: 4:   2 point slope equation for a line
  130.    wt: 4:   1 Numerical view of lines and their equations
  131.    wt: 4:   What is and is not here
  132.    wt: 4:   4 Polar Coordinates to and from
  133.    wt: 4:   Euclidean Geometry Elsewhere LINKS
  134.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  135.    wt: 4:   PS B Parallelogram Construction Methods
  136.    wt: 4:   PS A Kite Construction Methods
  137.    wt: 4:   16 Angles Subtended By Chords and Diameters
  138.    wt: 4:   3 Isometry of Triangles Congruence
  139.    wt: 4:   2 Correspondence between Triangles
  140.    wt: 4:   Short Course on Euclidean Geometry
  141.    wt: 4:   11 What are real lengths and numbers
  142.    wt: 4:   10 dividing signed numbers
  143.    wt: 4:   9 subtracting signed numbers
  144.    wt: 4:   7 negative and additive inverse
  145.    wt: 4:   6 adding signed numbers
  146.    wt: 4:   5 lengths and signs of numbers
  147.    wt: 4:   3 signed coordinates for maps and planes
  148.    wt: 4:   2 signed and unsigned numbers as coordinates
  149.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  150.    wt: 4:   Long Division Backwards more
  151.    wt: 4:   Long Division Backward
  152.    wt: 4:   Division with Counts and Length
  153.    wt: 4:   Long Division forwards and backwards Example 3
  154.    wt: 4:   Long Division forwards and backwards Example 2
  155.    wt: 4:   Long Division forwards and backwards Example 1
  156.    wt: 4:   12 Why Long Division Works Take III
  157.    wt: 4:   11 Another Single Digit Divisor Example
  158.    wt: 4:   10 Division by Five Long and Short Ways
  159.    wt: 4:   9 Why Long Division Works Take II
  160.    wt: 4:   7 Long Divison Mistake Catching
  161.    wt: 4:   5 Long Division Include Zeroes or not
  162.    wt: 4:   3 Division Single Digit Divisor Example
  163.    wt: 4:   2 Division with Single Digit Divisors
  164.    wt: 4:   1 Divsion Physical Examples
  165.    wt: 4:   D Decimal Multiplication Methods Derived
  166.    wt: 4:   B Powers of Ten
  167.    wt: 4:   A Elementary Basis for Multiplication Methods
  168.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  169.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  170.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  171.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  172.    wt: 4:   8 What skills and work habits to require
  173.    wt: 4:   4. How to add with decimals B with conversions
  174.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  175.    wt: 3:   8 analytic geometry etc
  176.    wt: 3:   problemes algebre et arithmetique
  177.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  178.    wt: 3:   19 Horizontal line rule and method
  179.    wt: 3:   18 Vertical Line Rule and Method
  180.    wt: 3:   11 Function Domain Range Source and Targets
  181.    wt: 3:   9 Set theory term relation possible origins
  182.    wt: 3:   6 Set Existence Formation and Notation
  183.    wt: 3:   5 Function notation for geometric transformations
  184.    wt: 3:   1 Geometric Introduction of Function Notation
  185.    wt: 3:   8 quadratics backward use of various formulas
  186.    wt: 3:   5 quadratics completing the square
  187.    wt: 3:   4 quadratics difference of two squares
  188.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  189.    wt: 3:   8 Notes for instructors or tutors
  190.    wt: 3:   4 Polynomials Long division linear divisor
  191.    wt: 3:   2 Column Multiplication Method
  192.    wt: 3:   16 cotangent function Definition Graph and Inverse
  193.    wt: 3:   15 cosecant function Definition Graph and Inverse
  194.    wt: 3:   14 secant function Definition Graph and Inverse
  195.    wt: 3:   13 cosecant function Definition Graph and Inverse
  196.    wt: 3:   12 motivation for term arctan
  197.    wt: 3:   11 arctan left inverse of tangent Graph
  198.    wt: 3:   10 arctan left inverse of tangent Definition
  199.    wt: 3:   9 motivation for name arcsin
  200.    wt: 3:   8 arcsin left inverse of sine Graph
  201.    wt: 3:   7 arcsin left inverse of sine Definition
  202.    wt: 3:   6 Graph of arccos function
  203.    wt: 3:   5 Swapping Coordinates is a reflection
  204.    wt: 3:   4 possible motivation for term arccos
  205.    wt: 3:   3 Left Inverse of cosine arccos definition
  206.    wt: 3:   2 cosine function more properties
  207.    wt: 3:   1 cosine function properties
  208.    wt: 3:   11 Component Method
  209.    wt: 3:   10 Parallelogram Addition Method
  210.    wt: 3:   5 Head To Tail Arrow Addition
  211.    wt: 3:   Vector and Complex Number Applet
  212.    wt: 3:   4 graphing y=Asin(x c)
  213.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  214.    wt: 3:   Straight Lines ASA Intersection Study More
  215.    wt: 3:   Straight Lines ASA Intersection Study
  216.    wt: 3:   Straight Lines Instersection Solving Equations
  217.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  218.    wt: 3:   1 Angle Measurement with Degrees
  219.    wt: 3:   8 Similarity of Triangles and Polygons
  220.    wt: 3:   6 Geometric Diagrams in Class
  221.    wt: 3:   4 Similarity Definition with Coordinate
  222.    wt: 3:   7 Complex Numbers Appetizer
  223.    wt: 3:   PS H Distributive Law For Complex Numbers
  224.    wt: 3:   PS G Rotation Distributes over Addition
  225.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  226.    wt: 3:   PS E Multiplication with Polar Coordinates
  227.    wt: 3:   PS D Addition with Cartesian Coordinates
  228.    wt: 3:   21 Parallelograms
  229.    wt: 3:   19 Right Triangle Similarity
  230.    wt: 3:   18 Triangle Similarity Take 1
  231.    wt: 3:   17 Right Bisectors of Triangle Sides
  232.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  233.    wt: 3:   14 Parallel Lines Postulate
  234.    wt: 3:   13 Angle Side Angle Failure
  235.    wt: 3:   12 Side Angle Side Failure
  236.    wt: 3:   11 Triangle Construction Fails
  237.    wt: 3:   10 Dropping a perpendicular to line
  238.    wt: 3:   9 Construction of a right bisector
  239.    wt: 3:   7 Angle Side Angle
  240.    wt: 3:   6 Ruler and compass Angle Bisection
  241.    wt: 3:   5 Side Angle Side
  242.    wt: 3:   1 Initial Concepts and Terms
  243.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  244.    wt: 3:   4 Angles on Maps Plans drawn to scale
  245.    wt: 3:   8 Column Multiplication Methods in General
  246.    wt: 3:   4 Commutative Law Groups Counting Form
  247.    wt: 3:   4 Changing Letters
  248.    wt: 3:   4 GE III Animated Examples
  249.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  250.    wt: 3:   8 Sets of Numbers
  251.    wt: 3:   4 Subset Builder Notation
  252.    wt: 3:   3 Counting with Sets etc
  253.    wt: 3:   4 Greater More Less Than Signs in General
  254.    wt: 3:   8 Multiplication by Signed Numbers Integers
  255.    wt: 3:   4 Adding Movements wiht opposite directions
  256.    wt: 3:   8 video Prime Factorization upto 19
  257.    wt: 3:   4 video Prime Factorization Introduction
  258.    wt: 3:   C Counting Areas with Powers of Ten
  259.    wt: 3:   6 Multiplication Commutes Order Not Important
  260.    wt: 3:   5 Decimal Fraction Multiplication
  261.    wt: 3:   3 More One Digit Multipliers
  262.    wt: 3:   2 One Digit Multipliers
  263.    wt: 3:   Video Power Notation in Decimal Expansion
  264.    wt: 3:   1 Why 3 times 5 gives 15
  265.    wt: 3:   Subtraction with J Conversions Example
  266.    wt: 3:   Subtraction Another Video Lesson
  267.    wt: 3:   9 22 Minute Subtraction Review Video
  268.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  269.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  270.    wt: 3:   5 A Tip for Efficent Subtraction
  271.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  272.    wt: 3:   2 Subtraction Easy Case Examples
  273.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  274.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  275.    wt: 3:   7 Adding decimal fractions using decimal point
  276.    wt: 3:   6. Counting and adding units and mixed units
  277.    wt: 3:   5. How to add decimals C. Examples
  278.    wt: 3:   3. How to add with decimals A sans conversions
  279.    wt: 3:   2 Decimal Counting Practices
  280.    wt: 3:   1. Explaining Addition Table
  281.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  282.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  283.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  284.    wt: 3:   A Related Material in Volume 3
  285.    wt: 3:   Chapter 8. Slope Interpretation
  286.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  287.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  288.    wt: 2:   geometric implications for algebra
  289.    wt: 2:   Trois Notions qui menent a algebre
  290.    wt: 2:   8 The Effect of Negative Remarks
  291.    wt: 2:   4 Learning Takes Time and Effort
  292.    wt: 2:   26 Function definitions done and coming
  293.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  294.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  295.    wt: 2:   23 Inverse Functions
  296.    wt: 2:   22 Square Root function graphically
  297.    wt: 2:   20 Interchanging coordinates a reflection
  298.    wt: 2:   17 Function maxima minima and their location
  299.    wt: 2:   16 Increasing or decreasing on intervals
  300.    wt: 2:   15 Sign analysis of functions
  301.    wt: 2:   14 Surjections Injections Bijections
  302.    wt: 2:   13 From one to one to many to one
  303.    wt: 2:   12 Function Domain Recognition Exercises
  304.    wt: 2:   10 Interval Notation
  305.    wt: 2:   7 Functions with finite domains
  306.    wt: 2:   3 Formula or function graphing exercise
  307.    wt: 2:   2 Algebraic use of function notation
  308.    wt: 2:   Introduction Reading Guide
  309.    wt: 2:   A Quadratics Summary
  310.    wt: 2:   10 quadratic exercises
  311.    wt: 2:   9 quadratics physical and further context
  312.    wt: 2:   7 quadratic formulla derivation
  313.    wt: 2:   6 quadratics numerical approach
  314.    wt: 2:   3 quadratics factoring by inspection
  315.    wt: 2:   2 quadratics graphing in general
  316.    wt: 2:   1 quadratics graphing exercises
  317.    wt: 2:   Quadratics in 10 steps
  318.    wt: 2:   7 Links Lessons Elsewhere
  319.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  320.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  321.    wt: 2:   3 Polynomials Multiplication Addition
  322.    wt: 2:   1 Polynomials Distributive Law
  323.    wt: 2:   9 Summary Degrees to Radians and back
  324.    wt: 2:   8 Radian Measures of Common Angles
  325.    wt: 2:   7 Radian Measures in special Triangles
  326.    wt: 2:   6 Radian Measure to Degrees
  327.    wt: 2:   5 Degrees to Radian Measure
  328.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  329.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  330.    wt: 2:   2 Radian Measure Numerical Value of one degree
  331.    wt: 2:   1 Degrees and Radians Introduction
  332.    wt: 2:   A Global Time and Navigation
  333.    wt: 2:   15 Dot and Cross Product
  334.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  335.    wt: 2:   13 Velocity Vectors in Physics
  336.    wt: 2:   12 From Applied To Pure Mathematics
  337.    wt: 2:   9 Head to Tail Coordinate View
  338.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  339.    wt: 2:   6 Vectors with Coordinates
  340.    wt: 2:   3 Navigation with Arrows or Vectors
  341.    wt: 2:   2 Signed Coordinates
  342.    wt: 2:   1 Unsigned Coordinates
  343.    wt: 2:   3 graphing y=f(x c) plus K
  344.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  345.    wt: 2:   1 graphing y=f(x a)
  346.    wt: 2:   Parallel Lines and Parallel Transversals
  347.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  348.    wt: 2:   Triangle Angles Sum To 180 Degrees
  349.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  350.    wt: 2:   Parallel Lines and Interior Angles
  351.    wt: 2:   Straight Lines Intersection of
  352.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  353.    wt: 2:   C Straight Lines Slope from Coordinates
  354.    wt: 2:   B Straight Line Slope Scaling Properties More
  355.    wt: 2:   A Straight Line Slope Scaling Properties
  356.    wt: 2:   14 Straight Lines Equations General Case
  357.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  358.    wt: 2:   12 Straight Lines Graphing mx plus b
  359.    wt: 2:   11 Straight Lines Graphing y=mx
  360.    wt: 2:   10 Straight Lines through Origin Equations More
  361.    wt: 2:   9 Straight Lines through Origin Equations
  362.    wt: 2:   8 Straight Lines Equation for vertical
  363.    wt: 2:   7 Tangent Function is odd on this domain
  364.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  365.    wt: 2:   5 Tangent Function Graph
  366.    wt: 2:   4 Tangent Function Properties
  367.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  368.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  369.    wt: 2:   1 Straight Lines Slope Concept
  370.    wt: 2:   21 Logarithms Powers and Exponentials
  371.    wt: 2:   20 N th Roots of Complex Numbers
  372.    wt: 2:   19 N th Roots of Unity
  373.    wt: 2:   18 Sixth Roots of Unity
  374.    wt: 2:   17 Cube Roots of unity
  375.    wt: 2:   16 References and Originality Question
  376.    wt: 2:   15 Pythagorean Theorem Converse
  377.    wt: 2:   14 Law of cosines
  378.    wt: 2:   13 Trig Formulas for dot and cross Products
  379.    wt: 2:   12 cis formulas for sine cosines and tangent
  380.    wt: 2:   11 sine and cosine double triple angle formulas
  381.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  382.    wt: 2:   9 The complex number valued trig function cis
  383.    wt: 2:   7 Second Way to Calculate Products
  384.    wt: 2:   6 Field Properties of Complex Number
  385.    wt: 2:   5 An Easy Proof of the Distributive Law
  386.    wt: 2:   3 Addition Properties
  387.    wt: 2:   2 Complex Numbers made easier we hope
  388.    wt: 2:   1 Rectangular Polar Coordinates Review
  389.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  390.    wt: 2:   12 Triangles Similarity More Problems
  391.    wt: 2:   11 Triangle Similarity Missing Side Problem
  392.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  393.    wt: 2:   9 Similarity of Triangles Usual Criteria
  394.    wt: 2:   7 Translations Rotations Reflections Dilatations
  395.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  396.    wt: 2:   3 Similarity by Design with coordinates
  397.    wt: 2:   2 Similarity By Design
  398.    wt: 2:   1 Early Concept of Like or Similar Shapes
  399.    wt: 2:   13 Pythagorean spatial distance formulas
  400.    wt: 2:   12 Spatial Coordinates
  401.    wt: 2:   11 Triangle Inequality
  402.    wt: 2:   10 Pythagorean plane distance formula
  403.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  404.    wt: 2:   6 Polar Multiplication and Rotation
  405.    wt: 2:   5 Cartesian Addition and Translation
  406.    wt: 2:   3 Rectangular Coordinates Review
  407.    wt: 2:   2 Cartesian Coordinates with signs
  408.    wt: 2:   1 Cartesian Coordinates sans signs
  409.    wt: 2:   A Measurement with Ruler Proper Use
  410.    wt: 2:   6 Figuring with Maps Not to Scale
  411.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  412.    wt: 2:   3 Lengths and Areas on Maps and Plans
  413.    wt: 2:   2 Measuring Area Directly
  414.    wt: 2:   1 Length Measurement
  415.    wt: 2:   About Folder Contents
  416.    wt: 2:   E Long Division Methods more
  417.    wt: 2:   D Long Division Methods
  418.    wt: 2:   C Three Decimal Subtraction Methods
  419.    wt: 2:   A Decimal Addition Columm Methods
  420.    wt: 2:   7 Decimals Multiplication Methods Examples
  421.    wt: 2:   6 Column Methods for Decimal Multiplication
  422.    wt: 2:   4 Rates Ratios and Proporitionality
  423.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  424.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  425.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  426.    wt: 2:   3 Geometric Formulas and Function Notation
  427.    wt: 2:   4 Solving a triangular system exercise
  428.    wt: 2:   4 Four Examples Fractional Coefficients
  429.    wt: 2:   8 One Example
  430.    wt: 2:   4 Two Examples
  431.    wt: 2:   9 Sets in Probability and Statistics
  432.    wt: 2:   7 Cautious or Safe Set Construction
  433.    wt: 2:   6 Power Set Notation
  434.    wt: 2:   1 Finite Sets
  435.    wt: 2:   arithmetic videos Real Player Format
  436.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  437.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  438.    wt: 2:   2 Least Common Multiple LCM intro via list method
  439.    wt: 2:   1 Least Common Multiples LCM Introduction
  440.    wt: 2:   1 Counting and Counting Methods I
  441.    wt: 2:   7 Converting or Changing Units
  442.    wt: 2:   6 Simplification of Fractions with Units
  443.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  444.    wt: 2:   4 Fractions with Units
  445.    wt: 2:   3 Multiplying Units and Numbers
  446.    wt: 2:   2 Equality and Units
  447.    wt: 2:   1 Addition and Subtraction with Units
  448.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  449.    wt: 2:   14 Adding and Subtracting with Like Denominators
  450.    wt: 2:   4 Fraction Multiplication
  451.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  452.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  453.    wt: 2:   Exact Arithmetic Wholes and Fractions
  454.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  455.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  456.    wt: 2:   Area Between Curves Lesson Take 2
  457.    wt: 2:   4 Definite Integrals Evaluation Exercises
  458.    wt: 2:   3 Two Chain Rule Method Exercises
  459.    wt: 2:   2 Indefinite Integrals Exercises
  460.    wt: 2:   1 Chain Rule in Reverse Integration Method
  461.    wt: 2:   4 Second derivative test exercise example
  462.    wt: 2:   3 Second derivative test
  463.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  464.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  465.    wt: 2:   8 Four Animated Examples
  466.    wt: 2:   E2 Algebraic Properties of Limits
  467.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  468.    wt: 2:   C Triangle Inequalities
  469.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  470.    wt: 2:   Chapter 23 Links To Trigonometry
  471.    wt: 2:   Chapter 4. More Slope Sign Analysis
  472.    wt: 2:   Fall 1983 Calculus Appetizer
  473.    wt: 2:   Postscript More on Better Performance
  474.    wt: 2:   Postscript For Better Performance
  475.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  476.    wt: 2:   Chapter 19. Functions and Sets
  477.    wt: 2:   Chapter 8 Three Skills For Algebra
  478.    wt: 2:   Solutions For Arithmetic Exercises
  479.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  480.    wt: 2:   Chapter 4 Longer Chains of Reason
  481.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  482.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  483.    wt: 2:   Chapter 8 Change of Language
  484.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  485.    wt: 2:   Chapter 8 Skipped Topics and Why
  486.    wt: 2:   Chapter 6 More Algebra and Geometry
  487.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  488.    wt: 2:   Chapter 2 Why Sets
  489.    wt: 2:   Chapter 1 Arithmetic
  490.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  491.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  492.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  493.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  494.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  495.    wt: 2:   Road Safety Questions
  496.    wt: 1:   Appendix 2 primary school Arithmetic 01
  497.    wt: 1:   Skills Chapter 2 Geometry
  498.    wt: 1:   Skills Chapter 1 Arithmetic
  499.    wt: 1:   9 combinatorics probability sets
  500.    wt: 1:   6 polynomials etc
  501.    wt: 1:   5 logarithms and exponentials etc
  502.    wt: 1:   4 algebra
  503.    wt: 1:   3 Euclidean Geometry Leanly
  504.    wt: 1:   2 arithmetic with signed numbers
  505.    wt: 1:   1 arithmetic with unsigned numbers
  506.    wt: 1:   three goals to set for students
  507.    wt: 1:   Teach the teachers plus goals
  508.    wt: 1:   site eurekas
  509.    wt: 1:   how letters appear
  510.    wt: 1:   talk the algebra talk
  511.    wt: 1:   04 29 New Mathematics Curriculum
  512.    wt: 1:   04 25 when to stop or suspend mathemat
  513.    wt: 1:   Education in mathematics science and technology
  514.    wt: 1:   How to be a better instructor
  515.    wt: 1:   Leaner mathematics curriculum
  516.    wt: 1:   liens
  517.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  518.    wt: 1:   problemes responses
  519.    wt: 1:   deux definitions pour variable
  520.    wt: 1:   logique deux enigme
  521.    wt: 1:   4 Energy Power Heat09
  522.    wt: 1:   3 Energy Power Heat08
  523.    wt: 1:   D Energy Power04
  524.    wt: 1:   F Wire Resistance Calculation04
  525.    wt: 1:   G Series Circuit01
  526.    wt: 1:   C Electromotive force conventional current02
  527.    wt: 1:   17 Math Booklets for children and young teenagers
  528.    wt: 1:   Ages 12 to 14 Geometry
  529.    wt: 1:   Ages 12 to 14 Arithmetic
  530.    wt: 1:   Ages 10 to 12 Geometry
  531.    wt: 1:   Ages 10 to 12 Arithmetic
  532.    wt: 1:   Ages 8 to 9
  533.    wt: 1:   Ages 4 plus to 5 plus
  534.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  535.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  536.    wt: 1:   sign monoticity analysis example 4
  537.    wt: 1:   sign monoticity analysis example 3
  538.    wt: 1:   sign monoticity analysis example 2
  539.    wt: 1:   sign monoticity analysis example 1
  540.    wt: 1:   11 Growth and Decay in Biology
  541.    wt: 1:   10 Exponential Growth and Decay Models
  542.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  543.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  544.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  545.    wt: 1:   5 Natural Logarithm Calculator Exercises
  546.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  547.    wt: 1:   2 Square Root Simplification a prequel
  548.    wt: 1:   1 Calculator Starter Exercises
  549.    wt: 1:   Rewriting algebraic substitution as function substitutions
  550.    wt: 1:   A Modular and Remainder Arithmetic
  551.    wt: 1:   A Signed Number Arithmetic Review
  552.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  553.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  554.    wt: 1:   8 Division and Mulplication of Compound Fractions
  555.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  556.    wt: 1:   4 Location of Point in Decimal Addition
  557.    wt: 1:   B Decimal Comparison and Subtraction
  558.    wt: 1:   5 Distributive Law for Whole Numbers
  559.    wt: 1:   3 Multiplicative Counting Skills Principles
  560.    wt: 1:   2 Combing Counts Addition Skills and Principles
  561.    wt: 1:   1 The Counting Origins of Numbers
  562.    wt: 1:   4 Fraction Operations Axiomatic Development
  563.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  564.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  565.    wt: 1:   6 Compound Interest Forward and Backwards
  566.    wt: 1:   5 Triangle Area Formula Backwards
  567.    wt: 1:   3 Linear Equation Literal Solution More
  568.    wt: 1:   2 Linear Equation Literal Solution
  569.    wt: 1:   1 Changing Calculations
  570.    wt: 1:   4 Subtraction and Division Axioms
  571.    wt: 1:   4 Comparison of Negative Numbers
  572.    wt: 1:   8 Coordinates for Maps and Planes
  573.    wt: 1:   4 Rational Numbers
  574.    wt: 1:   5 Independent versus Dependent Variables
  575.    wt: 1:   2 Computation Rules Evaluation
  576.    wt: 1:   1 Formulas Dependence and Function Notation
  577.    wt: 1:   Simple Exercises
  578.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  579.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  580.    wt: 1:   3 GE III Equation Addition and Multiplication
  581.    wt: 1:   2 GE II Comparison
  582.    wt: 1:   1 GE Substitution four examples
  583.    wt: 1:   Using Letters for Physical Quantities
  584.    wt: 1:   8 Compound Interest Formula Evaluation
  585.    wt: 1:   4 Circle Area Formula Example
  586.    wt: 1:   5 Product Builder Notation
  587.    wt: 1:   2 Venn Diagrams
  588.    wt: 1:   4 A Brief Story of numbers and algebra
  589.    wt: 1:   3 Adding Words To Arithmetic
  590.    wt: 1:   3 Comparison of Negative Numbers
  591.    wt: 1:   2 More and Less Than with Unlike Signs
  592.    wt: 1:   1 More and Less Than for Counts and Measures
  593.    wt: 1:   5 Square Roots with primes more still
  594.    wt: 1:   4 Square Roots with primes more
  595.    wt: 1:   3 Properties of Square Roots with example
  596.    wt: 1:   2 Square Roots with Prime
  597.    wt: 1:   1 Squares and Square Roots Introduction
  598.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  599.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  600.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  601.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  602.    wt: 1:   13 GCD from given Prime Factorization
  603.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  604.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  605.    wt: 1:   8 GCD from Euclidean Algorithm
  606.    wt: 1:   7 GCD and LCM from prime factorization
  607.    wt: 1:   6 GCD from Prime
  608.    wt: 1:   5 Common Divisors 60 45 via Prime
  609.    wt: 1:   4 LCM of 8 and 10 via Prime
  610.    wt: 1:   12 GCD 2700 288 via Prime
  611.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  612.    wt: 1:   4 Counting with Trees Product Rule Take I
  613.    wt: 1:   3 Counting with Tables and Trees II
  614.    wt: 1:   2 Counting with Tables and Trees I
  615.    wt: 1:   D Three Term Ratios
  616.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  617.    wt: 1:   B Fractions and Two Term Ratios
  618.    wt: 1:   22 Complex Compound Fractions
  619.    wt: 1:   21 Working With Signs
  620.    wt: 1:   21 Reciprocals for Fractions and Wholes
  621.    wt: 1:   20 Dividing Fractions the Why
  622.    wt: 1:   19 Dividing Fractions How TO
  623.    wt: 1:   18 Efficient Ways to Multiply
  624.    wt: 1:   17 Efficient Ways to Add and Subtract
  625.    wt: 1:   16 Addition Subtraction Comparision Compared
  626.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  627.    wt: 1:   13 Fraction Comparison Algebraic View
  628.    wt: 1:   12 Fraction Comparison
  629.    wt: 1:   11 Simplification an Algebraic View
  630.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  631.    wt: 1:   9 Improper Fractions and Mixed Numbers
  632.    wt: 1:   8 Numerals Fractionals Quantals Take II
  633.    wt: 1:   7 Numerals Fractionals Quantals
  634.    wt: 1:   6 Multiplication of Mixed Numbers
  635.    wt: 1:   6 Multiplication Algebraically Take II
  636.    wt: 1:   5 Equivalent Fractions
  637.    wt: 1:   3 Unit fraction of a fraction
  638.    wt: 1:   2 Unit Fraction Multiplication
  639.    wt: 1:   1 What is a fraction Take II
  640.    wt: 1:   1 What is a fraction
  641.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  642.    wt: 1:   D Remainders Modulo 11 Pair Rule
  643.    wt: 1:   B Integer Long Division Multiple Choices
  644.    wt: 1:   A Associative Law Theorectical Note
  645.    wt: 1:   13 Subtraction with Additive Inverse
  646.    wt: 1:   12 Adding Integers More Examples
  647.    wt: 1:   11 Adding Integers Formulas and Examples
  648.    wt: 1:   10 Integer Multiplication Formulas
  649.    wt: 1:   9 Multiplying Integers
  650.    wt: 1:   7 Multiplication by Signs
  651.    wt: 1:   6 Multiplication by Natural Numbers
  652.    wt: 1:   5 Zero Movement and Additive Inverses
  653.    wt: 1:   3 Adding Movements with same direction
  654.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  655.    wt: 1:   1 Integers as Coordinates
  656.    wt: 1:   20 Uniqueness of Prime Factorization
  657.    wt: 1:   19 video Prime Factorization Unique
  658.    wt: 1:   18 video Count Factors given Prime Factorization
  659.    wt: 1:   17 Identify and Count Factors using Primes
  660.    wt: 1:   16 video Factors of 980 using prime
  661.    wt: 1:   15 video Factors of 20 using Prime Factorization
  662.    wt: 1:   14 video Factors of 24 Take II
  663.    wt: 1:   13 video Factors of 24 using prime
  664.    wt: 1:   12 LCD GCD and LCM using Primes
  665.    wt: 1:   11 Efficient Square Rule Use
  666.    wt: 1:   10 video Prime Factorization upto 23 squared
  667.    wt: 1:   9 video Prime Factorization upto 19 squared
  668.    wt: 1:   7 Calculator Usage Notes and Cautions
  669.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  670.    wt: 1:   5 Prime Factorization and a Square Rule
  671.    wt: 1:   3 video Primes and Composites from 9 times table
  672.    wt: 1:   2 Prime and Composites less than 16
  673.    wt: 1:   1 video how Products are bigger than factor
  674.    wt: 1:   11 Place Value SI Standard International way
  675.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  676.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  677.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  678.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  679.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  680.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  681.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  682.    wt: 1:   Quick history of numbers and algebra
  683.    wt: 1:   Formula Evaluation how to show work
  684.    wt: 1:   Expression Evaluation how to show work
  685.    wt: 1:   The 20 Times Table
  686.    wt: 1:   The 12 Times Table Visually
  687.    wt: 1:   About folder contents
  688.    wt: 1:   8 Addition of Time Intervals via subtotaling
  689.    wt: 1:   5 Conversion Arithmetic
  690.    wt: 1:   4 Mixing and Changing Units of Time
  691.    wt: 1:   Example 1. Area Between x and x squared
  692.    wt: 1:   Area Between Curves Lesson Take 1
  693.    wt: 1:   5 Area Under Curve Exercise
  694.    wt: 1:   A Related lessons in Volume 3
  695.    wt: 1:   2 Second derivative test prequel
  696.    wt: 1:   34 Derivative of exponential function
  697.    wt: 1:   33 Chain Rule Real Player video examples
  698.    wt: 1:   31 Derivatives of inverse functions
  699.    wt: 1:   30Chain Rule A Proof
  700.    wt: 1:   29 Chain Rule Optional Reading
  701.    wt: 1:   28 Chain Rule Preparation for a Proof
  702.    wt: 1:   14 sine and cosine derivatives 2nd step
  703.    wt: 1:   13 sine and cosine derivatives 1st step
  704.    wt: 1:   8 Differentiation of polynomials
  705.    wt: 1:   4 Sum Rule
  706.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  707.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  708.    wt: 1:   4 Numerical properties
  709.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  710.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  711.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  712.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  713.    wt: 1:   G.5 Motions With Bounded Velocities
  714.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  715.    wt: 1:   G.3 Constant Difference Theorem Proof
  716.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  717.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  718.    wt: 1:   F.5b Extreme Value Theorem
  719.    wt: 1:   F.5a Equicontinuity Theorems
  720.    wt: 1:   F.4 Finite Covering Theorem
  721.    wt: 1:   F.3 Intermediate Value Theorem
  722.    wt: 1:   F.2 Closed Range Theorem
  723.    wt: 1:   F.1 What Functions are Continuous
  724.    wt: 1:   E1 Error Control Inequalities
  725.    wt: 1:   D2 Limits of Monotone Sequences
  726.    wt: 1:   B3 Bolzano Weierstrass Theorem
  727.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  728.    wt: 1:   PostScript For and Against Decimal Perspectives
  729.    wt: 1:   A1. Introduction
  730.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  731.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  732.    wt: 1:   Chapter 22 Complex Numbers
  733.    wt: 1:   Chapter 21 Arrow Addition
  734.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  735.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  736.    wt: 1:   Chapter 18. Slopes Areas Integration
  737.    wt: 1:   Chapter 17. Area Approximation
  738.    wt: 1:   Chapter 16. Velocity Approximation
  739.    wt: 1:   Chapter 15. Slope Approximation
  740.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  741.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  742.    wt: 1:   Chapter 13. Acceleration
  743.    wt: 1:   Chapter 12. Units and Slopes
  744.    wt: 1:   Chapter 11. Graphing Slope versus Position
  745.    wt: 1:   Chapter 10 Slopes and Units
  746.    wt: 1:   Chapter 9 About First Courses in Calculus
  747.    wt: 1:   Chapter 7 Slopes and Velocity
  748.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  749.    wt: 1:   Chapter 5. Slope Sign Tests
  750.    wt: 1:   Chapter 3. Slope Sign Analysis
  751.    wt: 1:   Chapter 2. Slopes and Ski Trails
  752.    wt: 1:   Chapter 1.Introduction
  753.    wt: 1:   Foreword
  754.    wt: 1:   Appendix E. How To Study Mathematics and Why
  755.    wt: 1:   Appendix D. What to do in School and Why
  756.    wt: 1:   Appendix C. How to Read
  757.    wt: 1:   Appendix B. How To Learn
  758.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  759.    wt: 1:   Chapter 31 Direct and Indirect Reason
  760.    wt: 1:   Chapter 30 Truth Tables
  761.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  762.    wt: 1:   Chapter 28 Occurrence Tables
  763.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  764.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  765.    wt: 1:   Chapter 25. Mathematical Induction Examples
  766.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  767.    wt: 1:   Chapter 23. Notation For Sums
  768.    wt: 1:   Chapter 21. Third Reading Guide
  769.    wt: 1:   Chapter 20. Degrees and Radians
  770.    wt: 1:   Chapter 18. Rules for Algebra
  771.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  772.    wt: 1:   Chapter 16. Painless Theorem Proving
  773.    wt: 1:   Chapter 15. Solving Linear Equations
  774.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  775.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  776.    wt: 1:   Chapter 13. Second Reading Guide
  777.    wt: 1:   Chapter 12. Shorthand Usage Guide
  778.    wt: 1:   Chapter 11. Why Shorthand
  779.    wt: 1:   Chapter 10 Describing and Changing Calculations
  780.    wt: 1:   Postscript What is a Variable
  781.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  782.    wt: 1:   Chapter 6 Change of Language
  783.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  784.    wt: 1:   Chapter 3 Chains of Reason
  785.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  786.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  787.    wt: 1:   Foreword
  788.    wt: 1:   Chapter 8 Modern Instruction
  789.    wt: 1:   Chapter 7 Two Treatments of Geometry
  790.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  791.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  792.    wt: 1:   Postscript C Consistency as a Tool for Reason
  793.    wt: 1:   Postscript B More on Story Telling and Reason
  794.    wt: 1:   Postscript A Story Telling
  795.    wt: 1:   Chapter 24 Direct and Indirect Reason
  796.    wt: 1:   Chapter 23 Truth Tables
  797.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  798.    wt: 1:   Chapter 21 Occurrence Tables
  799.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  800.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  801.    wt: 1:   Chapter 18 Sense and Knowledge
  802.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  803.    wt: 1:   Chapter 15 Objective Processes
  804.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  805.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  806.    wt: 1:   Chapter 11 Accidental Patterns
  807.    wt: 1:   Chapter 10 Responsibility
  808.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  809.    wt: 1:   Chapter 7 Longer Chains of Reason
  810.    wt: 1:   Chapter 6 Chains of Reason
  811.    wt: 1:   Chapter 5 Deception
  812.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  813.    wt: 1:   Chapter 2 Skill Development
  814.    wt: 1:   Chapter 1 Introduction
  815.    wt: 1:   Three Remarks
  816.    wt: 1:   Foreword
  817.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  818.    wt: 1:   M Words to extend arithmetic
  819.    wt: 1:   H more Routine to non routine problem solving
  820.    wt: 1:   H Jigsaw puzzles and problem solving
  821.    wt: 1:   D. Check work a must with a caution
  822.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  823.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  824.    wt: 1:   Chapter 3 Algebra Starter Lessons
  825.    wt: 1:   7 Games and Activities for Instruction
  826.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  827.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  828.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  829.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  830.    wt: 1:   The Math Forum and Site Content
  831.    wt: 1:   Site Reviews
  832.    wt: 11:   chapitre 04 08 Limitations et benefices
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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