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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  1.    wt: 6:   Volume 1A Regles et modeles/
  2.    wt: 4:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 4:   4 Lines and Slopes Take 1/
  4.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  5.    wt: 4:   4 Remainder Arithmetic and Divisibility/
  6.    wt: 4:   D Decimal Long Division Methods/
  7.    wt: 4:   A Decimal Counting and Adding Methods/
  8.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  9.    wt: 3:   11 Parallel Straight Lines and Transversals/
  10.    wt: 3:   8 Unit Circle Trigonometry/
  11.    wt: 3:   6 Trigonometry first steps/
  12.    wt: 3:   2 Euclidean Geometry Constructions Theory extras/
  13.    wt: 3:   1 Maps Plans Measurement/
  14.    wt: 3:   C Decimal Multiplication Methods/
  15.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  16.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  17.    wt: 2:   13 Vectors/
  18.    wt: 2:   12 Function Translating and Rescaling/
  19.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  20.    wt: 2:   7 Complex Numbers/
  21.    wt: 2:   5 What is Similarity/
  22.    wt: 2:   3 Cartesian and Polar Coordinates/
  23.    wt: 2:   Geometry maps plans trigonometry vectors/
  24.    wt: 2:   10 Examples of Algebraic Reasoning/
  25.    wt: 2:   11 Squares and Square Roots/
  26.    wt: 2:   8 Arithmetic with Signed Numbers/
  27.    wt: 2:   7 Arithmetic and Fractions with Units/
  28.    wt: 2:   2 Arithmetic with Decimals/
  29.    wt: 2:   1 Decimal Place Value/
  30.    wt: 2:   5 Lessons on Integration/
  31.    wt: 2:   4 Lessons on Using Derivatives/
  32.    wt: 2:   13 Lessons on Limits and Continuity/
  33.    wt: 1:   Mathematics Education Essays/
  34.    wt: 1:   francais/
  35.    wt: 1:   4 Functions/
  36.    wt: 1:   3 Quadratics Geometrically/
  37.    wt: 1:   1 Five Polynomial Operations/
  38.    wt: 1:   A Origins of Counting and Figuring Methods/
  39.    wt: 1:   4 Computation Rules and Function Notation/
  40.    wt: 1:   Step 4 Gaussian Elimination/
  41.    wt: 1:   Step 1 Stick diagram and fractions/
  42.    wt: 1:   1 Working With Sets/
  43.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  44.    wt: 1:   9 Combinatorics Trees Tables and Products/
  45.    wt: 1:   6 Fractions and Ratios/
  46.    wt: 1:   5 Integers/
  47.    wt: 1:   3 Prime Factorization Skills/
  48.    wt: 1:   Arithmetic and Number Theory Skills/
  49.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  50.    wt: 1:   38 Lessons on Calculating Derivatives/
  51.    wt: 1:   70 Calculus Starter Lessons/
  52.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  53.    wt: 1:   Volume 2 Three Skills For Algebra/
  54.    wt: 1:   Volume 1A Pattern Based Reason/
  55.    wt: 1:   Secondary Mathematics A Practical Approach/
  56.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

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233 matches:

  1.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  2.    wt: 4:   chapitre 04 07 RepetablesEtReproductibles
  3.    wt: 3:   chapitre 04 09 Regles accidentelles
  4.    wt: 3:   chapitre 04 08 Limitations et benefices
  5.    wt: 3:   chapitre 04 04 Parlons de la logique
  6.    wt: 3:   chapitre 04 00 Les regles d implication
  7.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  8.    wt: 2:   8 analytic geometry etc
  9.    wt: 2:   chapitre 12 00 les iles et division
  10.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  11.    wt: 2:   chapitre 06 00 Chaines de la raison
  12.    wt: 2:   chapitre 04 06 engagements
  13.    wt: 2:   chapitre 04 05 Implication versus suggestion
  14.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  15.    wt: 2:   chapitre 04 02 Deuxieme enigme
  16.    wt: 2:   chapitre 04 01 Premiere enigme
  17.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  18.    wt: 2:   problemes algebre et arithmetique
  19.    wt: 2:   Ages 10 to 12 Geometry
  20.    wt: 2:   Ages 10 to 12 Arithmetic
  21.    wt: 2:   10 Parallelogram Addition Method
  22.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  23.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  24.    wt: 2:   Appetizer A Complex Number Applet
  25.    wt: 2:   3 Counting with Sets etc
  26.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  27.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  28.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  29.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  30.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  31.    wt: 2:   1 Remainder Arithmetic Modulo 10
  32.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  33.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  34.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  35.    wt: 1:   Appendix 2 primary school Arithmetic 01
  36.    wt: 1:   Skills Chapter 2 Geometry
  37.    wt: 1:   Skills Chapter 1 Arithmetic
  38.    wt: 1:   10 statistics
  39.    wt: 1:   9 combinatorics probability sets
  40.    wt: 1:   6 polynomials etc
  41.    wt: 1:   5 logarithms and exponentials etc
  42.    wt: 1:   3 Euclidean Geometry Leanly
  43.    wt: 1:   2 arithmetic with signed numbers
  44.    wt: 1:   1 arithmetic with unsigned numbers
  45.    wt: 1:   three goals to set for students
  46.    wt: 1:   Postscript 2007 01 10
  47.    wt: 1:   how letters appear
  48.    wt: 1:   geometric implications for algebra
  49.    wt: 1:   04 29 New Mathematics Curriculum
  50.    wt: 1:   04 25 when to stop or suspend mathemat
  51.    wt: 1:   How to be a better instructor
  52.    wt: 1:   chapitre 07 01 principle D induction mathematique
  53.    wt: 1:   chapitre 05 00 Deception
  54.    wt: 1:   chapitre 02 00 La Communication des idees
  55.    wt: 1:   chapitre 01 00 Introduction
  56.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  57.    wt: 1:   deux definitions pour variable
  58.    wt: 1:   D Energy Power04
  59.    wt: 1:   F Wire Resistance Calculation04
  60.    wt: 1:   17 Math Booklets for children and young teenagers
  61.    wt: 1:   10 Ends values for work study instruction
  62.    wt: 1:   Ages 12 to 14 Geometry
  63.    wt: 1:   Ages 12 to 14 Arithmetic
  64.    wt: 1:   Ages 9 to 10
  65.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  66.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  67.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  68.    wt: 1:   19 Horizontal line rule and method
  69.    wt: 1:   18 Vertical Line Rule and Method
  70.    wt: 1:   11 Function Domain Range Source and Targets
  71.    wt: 1:   10 Interval Notation
  72.    wt: 1:   9 Set theory term relation possible origins
  73.    wt: 1:   8 Set view of relations and functions
  74.    wt: 1:   6 Set Existence Formation and Notation
  75.    wt: 1:   5 Function notation for geometric transformations
  76.    wt: 1:   1 Geometric Introduction of Function Notation
  77.    wt: 1:   10 quadratic exercises
  78.    wt: 1:   5 quadratics completing the square
  79.    wt: 1:   Quadratics in 10 steps
  80.    wt: 1:   10 Exponential Growth and Decay Models
  81.    wt: 1:   2 Column Multiplication Method
  82.    wt: 1:   10 arctan left inverse of tangent Definition
  83.    wt: 1:   11 Component Method
  84.    wt: 1:   Vector and Complex Number Applet
  85.    wt: 1:   10 Straight Lines through Origin Equations More
  86.    wt: 1:   30 unit circle calculation of six trigonometric functions
  87.    wt: 1:   10 Graphs of sines and cosines many periods
  88.    wt: 1:   Unit Circle Development of Trigonometry
  89.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  90.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  91.    wt: 1:   8 Unit Circle Development of Trigonometry
  92.    wt: 1:   7 Trignometric Ratios Unit Circle
  93.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  94.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  95.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  96.    wt: 1:   3 Trigonometric Ratios sine and cosine
  97.    wt: 1:   Why Trigonometry the whyslopes view
  98.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  99.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  100.    wt: 1:   6 Geometric Diagrams in Class
  101.    wt: 1:   10 Midpoint of [a b] and [b a]
  102.    wt: 1:   10 Pythagorean plane distance formula
  103.    wt: 1:   8 Distance Between Points on a Line
  104.    wt: 1:   7 Complex Numbers Appetizer
  105.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  106.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  107.    wt: 1:   PS B Parallelogram Construction Methods
  108.    wt: 1:   PS A Kite Construction Methods
  109.    wt: 1:   16 Angles Subtended By Chords and Diameters
  110.    wt: 1:   10 Dropping a perpendicular to line
  111.    wt: 1:   3 Isometry of Triangles Congruence
  112.    wt: 1:   2 Correspondence between Triangles
  113.    wt: 1:   Short Course on Euclidean Geometry
  114.    wt: 1:   A Modular and Remainder Arithmetic
  115.    wt: 1:   A Signed Number Arithmetic Review
  116.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  117.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  118.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  119.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  120.    wt: 1:   E Long Division Methods more
  121.    wt: 1:   D Long Division Methods
  122.    wt: 1:   C Three Decimal Subtraction Methods
  123.    wt: 1:   A Decimal Addition Columm Methods
  124.    wt: 1:   8 Column Multiplication Methods in General
  125.    wt: 1:   7 Decimals Multiplication Methods Examples
  126.    wt: 1:   6 Column Methods for Decimal Multiplication
  127.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  128.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  129.    wt: 1:   10 Real Number Lengths and Signs
  130.    wt: 1:   4 Changing Letters
  131.    wt: 1:   3 Geometric Formulas and Function Notation
  132.    wt: 1:   10 One Example
  133.    wt: 1:   Using Letters for Physical Quantities
  134.    wt: 1:   10 Volume of Pyramid
  135.    wt: 1:   9 Sets in Probability and Statistics
  136.    wt: 1:   8 Sets of Numbers
  137.    wt: 1:   7 Cautious or Safe Set Construction
  138.    wt: 1:   6 Power Set Notation
  139.    wt: 1:   4 Subset Builder Notation
  140.    wt: 1:   1 Finite Sets
  141.    wt: 1:   3 Adding Words To Arithmetic
  142.    wt: 1:   arithmetic videos Real Player Format
  143.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  144.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  145.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  146.    wt: 1:   4 LCM of 8 and 10 via Prime
  147.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  148.    wt: 1:   2 Least Common Multiple LCM intro via list method
  149.    wt: 1:   1 Counting and Counting Methods I
  150.    wt: 1:   10 dividing signed numbers
  151.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  152.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  153.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  154.    wt: 1:   10 Integer Multiplication Formulas
  155.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  156.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  157.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  158.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  159.    wt: 1:   23 Remainder Arithmetic Modulo 2
  160.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  161.    wt: 1:   21 Remainder Arithmetic Modulo 3
  162.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  163.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  164.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  165.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  166.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  167.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  168.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  169.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  170.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  171.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  172.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  173.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  174.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  175.    wt: 1:   5 Remainder Arithmetic Modulo 5
  176.    wt: 1:   10 video Prime Factorization upto 23 squared
  177.    wt: 1:   10 Division by Five Long and Short Ways
  178.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  179.    wt: 1:   D Decimal Multiplication Methods Derived
  180.    wt: 1:   A Elementary Basis for Multiplication Methods
  181.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  182.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  183.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  184.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  185.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  186.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  187.    wt: 1:   Exact Arithmetic Wholes and Fractions
  188.    wt: 1:   010 Repeated Addition of Time Intervals
  189.    wt: 1:   5 Conversion Arithmetic
  190.    wt: 1:   Example 1. Area Between x and x squared
  191.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  192.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  193.    wt: 1:   Area Between Curves Lesson Take 2
  194.    wt: 1:   Area Between Curves Lesson Take 1
  195.    wt: 1:   3 Two Chain Rule Method Exercises
  196.    wt: 1:   1 Chain Rule in Reverse Integration Method
  197.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  198.    wt: 1:   10 Power rule for negative integers
  199.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  200.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  201.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  202.    wt: 1:   10 Three one sided limits with infinite values
  203.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  204.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  205.    wt: 1:   Chapter 23 Links To Trigonometry
  206.    wt: 1:   Chapter 10 Slopes and Units
  207.    wt: 1:   Chapter 8. Slope Interpretation
  208.    wt: 1:   Fall 1983 Calculus Appetizer
  209.    wt: 1:   Postscript More on Better Performance
  210.    wt: 1:   Postscript For Better Performance
  211.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  212.    wt: 1:   Chapter 19. Functions and Sets
  213.    wt: 1:   Chapter 10 Describing and Changing Calculations
  214.    wt: 1:   Solutions For Arithmetic Exercises
  215.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  216.    wt: 1:   Chapter 10 Transition
  217.    wt: 1:   Chapter 7 Two Treatments of Geometry
  218.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  219.    wt: 1:   Chapter 10 Responsibility
  220.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  221.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  222.    wt: 1:   M Words to extend arithmetic
  223.    wt: 1:   Chapter 6 More Algebra and Geometry
  224.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  225.    wt: 1:   Chapter 2 Why Sets
  226.    wt: 1:   Chapter 1 Arithmetic
  227.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  228.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  229.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  230.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  231.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  232.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  233.    wt: 1:   Road Safety Questions

Extended Search

935 matches:

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