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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65 matches:

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

Web Page Search

199 matches:

  1.    wt: 5:   chapitre 04 02 Deuxieme enigme
  2.    wt: 4:   chapitre 04 07 RepetablesEtReproductibles
  3.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  4.    wt: 3:   chapitre 04 09 Regles accidentelles
  5.    wt: 3:   chapitre 04 08 Limitations et benefices
  6.    wt: 3:   chapitre 04 04 Parlons de la logique
  7.    wt: 3:   chapitre 04 01 Premiere enigme
  8.    wt: 3:   chapitre 04 00 Les regles d implication
  9.    wt: 2:   8 analytic geometry etc
  10.    wt: 2:   chapitre 12 00 les iles et division
  11.    wt: 2:   chapitre 04 06 engagements
  12.    wt: 2:   chapitre 04 05 Implication versus suggestion
  13.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  14.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  15.    wt: 2:   chapitre 02 00 La Communication des idees
  16.    wt: 2:   problemes algebre et arithmetique
  17.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  18.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  19.    wt: 2:   Appetizer A Complex Number Applet
  20.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  21.    wt: 2:   3 Counting with Sets etc
  22.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  23.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  24.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  25.    wt: 1:   Appendix 2 primary school Arithmetic 01
  26.    wt: 1:   Skills Chapter 2 Geometry
  27.    wt: 1:   Skills Chapter 1 Arithmetic
  28.    wt: 1:   9 combinatorics probability sets
  29.    wt: 1:   6 polynomials etc
  30.    wt: 1:   5 logarithms and exponentials etc
  31.    wt: 1:   3 Euclidean Geometry Leanly
  32.    wt: 1:   2 arithmetic with signed numbers
  33.    wt: 1:   1 arithmetic with unsigned numbers
  34.    wt: 1:   three goals to set for students
  35.    wt: 1:   how letters appear
  36.    wt: 1:   geometric implications for algebra
  37.    wt: 1:   04 29 New Mathematics Curriculum
  38.    wt: 1:   04 25 when to stop or suspend mathemat
  39.    wt: 1:   02 21 words for teachers
  40.    wt: 1:   02 20 mathematics education references
  41.    wt: 1:   How to be a better instructor
  42.    wt: 1:   chapitre 07 01 principle D induction mathematique
  43.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  44.    wt: 1:   chapitre 06 00 Chaines de la raison
  45.    wt: 1:   chapitre 05 00 Deception
  46.    wt: 1:   chapitre 01 00 Introduction
  47.    wt: 1:   logique deux enigme
  48.    wt: 1:   D Energy Power04
  49.    wt: 1:   B Energy Power02
  50.    wt: 1:   2 Conductance Resistance Duality02
  51.    wt: 1:   F Wire Resistance Calculation04
  52.    wt: 1:   D Wire Resistance Calculation02
  53.    wt: 1:   B Wire Resistance Qualitative02
  54.    wt: 1:   H Series Circuit02
  55.    wt: 1:   C Electromotive force conventional current02
  56.    wt: 1:   17 Math Booklets for children and young teenagers
  57.    wt: 1:   Ages 12 to 14 Geometry
  58.    wt: 1:   Ages 12 to 14 Arithmetic
  59.    wt: 1:   Ages 10 to 12 Geometry
  60.    wt: 1:   Ages 10 to 12 Arithmetic
  61.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  62.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  63.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  64.    wt: 1:   19 Horizontal line rule and method
  65.    wt: 1:   18 Vertical Line Rule and Method
  66.    wt: 1:   11 Function Domain Range Source and Targets
  67.    wt: 1:   9 Set theory term relation possible origins
  68.    wt: 1:   8 Set view of relations and functions
  69.    wt: 1:   6 Set Existence Formation and Notation
  70.    wt: 1:   5 Function notation for geometric transformations
  71.    wt: 1:   1 Geometric Introduction of Function Notation
  72.    wt: 1:   5 quadratics completing the square
  73.    wt: 1:   2 Column Multiplication Method
  74.    wt: 1:   11 Component Method
  75.    wt: 1:   10 Parallelogram Addition Method
  76.    wt: 1:   Vector and Complex Number Applet
  77.    wt: 1:   30 unit circle calculation of six trigonometric functions
  78.    wt: 1:   Unit Circle Development of Trigonometry
  79.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  80.    wt: 1:   8 Unit Circle Development of Trigonometry
  81.    wt: 1:   7 Trignometric Ratios Unit Circle
  82.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  83.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  84.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  85.    wt: 1:   3 Trigonometric Ratios sine and cosine
  86.    wt: 1:   Why Trigonometry the whyslopes view
  87.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  88.    wt: 1:   6 Geometric Diagrams in Class
  89.    wt: 1:   8 Distance Between Points on a Line
  90.    wt: 1:   7 Complex Numbers Appetizer
  91.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  92.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  93.    wt: 1:   PS B Parallelogram Construction Methods
  94.    wt: 1:   PS A Kite Construction Methods
  95.    wt: 1:   16 Angles Subtended By Chords and Diameters
  96.    wt: 1:   3 Isometry of Triangles Congruence
  97.    wt: 1:   2 Correspondence between Triangles
  98.    wt: 1:   Short Course on Euclidean Geometry
  99.    wt: 1:   A Modular and Remainder Arithmetic
  100.    wt: 1:   A Signed Number Arithmetic Review
  101.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  102.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  103.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  104.    wt: 1:   E Long Division Methods more
  105.    wt: 1:   D Long Division Methods
  106.    wt: 1:   C Three Decimal Subtraction Methods
  107.    wt: 1:   A Decimal Addition Columm Methods
  108.    wt: 1:   8 Column Multiplication Methods in General
  109.    wt: 1:   7 Decimals Multiplication Methods Examples
  110.    wt: 1:   6 Column Methods for Decimal Multiplication
  111.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  112.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  113.    wt: 1:   4 Changing Letters
  114.    wt: 1:   3 Geometric Formulas and Function Notation
  115.    wt: 1:   Using Letters for Physical Quantities
  116.    wt: 1:   9 Sets in Probability and Statistics
  117.    wt: 1:   8 Sets of Numbers
  118.    wt: 1:   7 Cautious or Safe Set Construction
  119.    wt: 1:   6 Power Set Notation
  120.    wt: 1:   4 Subset Builder Notation
  121.    wt: 1:   1 Finite Sets
  122.    wt: 1:   3 Adding Words To Arithmetic
  123.    wt: 1:   arithmetic videos Real Player Format
  124.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  125.    wt: 1:   2 Least Common Multiple LCM intro via list method
  126.    wt: 1:   1 Counting and Counting Methods I
  127.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  128.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  129.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  130.    wt: 1:   23 Remainder Arithmetic Modulo 2
  131.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  132.    wt: 1:   21 Remainder Arithmetic Modulo 3
  133.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  134.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  135.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  136.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  137.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  138.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  139.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  140.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  141.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  142.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  143.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  144.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  145.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  146.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  147.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  148.    wt: 1:   5 Remainder Arithmetic Modulo 5
  149.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  150.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  151.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  152.    wt: 1:   1 Remainder Arithmetic Modulo 10
  153.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  154.    wt: 1:   D Decimal Multiplication Methods Derived
  155.    wt: 1:   A Elementary Basis for Multiplication Methods
  156.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  157.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  158.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  159.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  160.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  161.    wt: 1:   Exact Arithmetic Wholes and Fractions
  162.    wt: 1:   5 Conversion Arithmetic
  163.    wt: 1:   Example 1. Area Between x and x squared
  164.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  165.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  166.    wt: 1:   Area Between Curves Lesson Take 2
  167.    wt: 1:   Area Between Curves Lesson Take 1
  168.    wt: 1:   3 Two Chain Rule Method Exercises
  169.    wt: 1:   1 Chain Rule in Reverse Integration Method
  170.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  171.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  172.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  173.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  174.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  175.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  176.    wt: 1:   Chapter 23 Links To Trigonometry
  177.    wt: 1:   Chapter 8. Slope Interpretation
  178.    wt: 1:   Fall 1983 Calculus Appetizer
  179.    wt: 1:   Postscript More on Better Performance
  180.    wt: 1:   Postscript For Better Performance
  181.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  182.    wt: 1:   Chapter 19. Functions and Sets
  183.    wt: 1:   Solutions For Arithmetic Exercises
  184.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  185.    wt: 1:   Chapter 7 Two Treatments of Geometry
  186.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  187.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  188.    wt: 1:   M Words to extend arithmetic
  189.    wt: 1:   Chapter 6 More Algebra and Geometry
  190.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  191.    wt: 1:   Chapter 2 Why Sets
  192.    wt: 1:   Chapter 1 Arithmetic
  193.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  194.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  195.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  196.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  197.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  198.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  199.    wt: 1:   Road Safety Questions

Extended Search

953 matches:

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

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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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