Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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. Reform: look before you leap - plan all in detail first.

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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86 matches:

  1.    wt: 9:   14 Degrees to Radians and Radians to Degrees/
  2.    wt: 9:   Step 2 Algebraic solutions for one unknown/
  3.    wt: 9:   4 Remainder Arithmetic and Divisibility/
  4.    wt: 9:   3 Prime Factorization Skills/
  5.    wt: 9:   4 Lessons on Using Derivatives/
  6.    wt: 9:   13 Lessons on Limits and Continuity/
  7.    wt: 8:   4 Lines and Slopes Take 1/
  8.    wt: 8:   3 Cartesian and Polar Coordinates/
  9.    wt: 8:   9 Combinatorics Trees Tables and Products/
  10.    wt: 8:   12 Webvideo Lessons on Area and Volume Calculation/
  11.    wt: 8:   5 Lessons on Integration/
  12.    wt: 8:   38 Lessons on Calculating Derivatives/
  13.    wt: 7:   13 Vectors/
  14.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  15.    wt: 7:   4 Computation Rules and Function Notation/
  16.    wt: 7:   10 LCM GCD and Euclid GCD Algorithm/
  17.    wt: 7:   7 Arithmetic and Fractions with Units/
  18.    wt: 7:   6 Fractions and Ratios/
  19.    wt: 7:   Time Date Matters/
  20.    wt: 7:   Mathematics 506 Lessons/
  21.    wt: 6:   LAMP Lean Applied Mathematics Program/
  22.    wt: 6:   Volume 1A Regles et modeles/
  23.    wt: 6:   5 Factored Polynomial Sign Analysis Examples/
  24.    wt: 6:   4 Functions/
  25.    wt: 6:   3 Quadratics Geometrically/
  26.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 6:   A Origins of Counting and Figuring Methods/
  28.    wt: 6:   9 Proportionality Backwards and Forwards/
  29.    wt: 6:   7 Axioms Logic and Equivalent Equations/
  30.    wt: 6:   6 More Less Greater Than Inequalities and Comparison/
  31.    wt: 6:   3 Solving Linear Equations/
  32.    wt: 6:   12 Comparison of Unsigned and Signed Numbers/
  33.    wt: 6:   11 Squares and Square Roots/
  34.    wt: 6:   8 Arithmetic with Signed Numbers/
  35.    wt: 6:   5 Integers/
  36.    wt: 6:   2 Arithmetic with Decimals/
  37.    wt: 6:   1 Decimal Place Value/
  38.    wt: 6:   PreSchool and Primary Mathematics or Quantitative Skills/
  39.    wt: 5:   Progressive Observable Motivated Mathematics Education/
  40.    wt: 5:   Mathematics Education Essays/
  41.    wt: 5:   12 Function Translating and Rescaling/
  42.    wt: 5:   11 Parallel Straight Lines and Transversals/
  43.    wt: 5:   8 Unit Circle Trigonometry/
  44.    wt: 5:   7 Complex Numbers/
  45.    wt: 5:   6 Trigonometry first steps/
  46.    wt: 5:   5 What is Similarity/
  47.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  48.    wt: 5:   1 Maps Plans Measurement/
  49.    wt: 5:   B Real Numbers Extrinsic Development/
  50.    wt: 5:   10 Examples of Algebraic Reasoning/
  51.    wt: 5:   8 Unifying Theme For Algebra/
  52.    wt: 5:   5 Real Numbers/
  53.    wt: 5:   2 Formula Forward Use Evaluation/
  54.    wt: 5:   1 Working With Sets/
  55.    wt: 5:   Secondary Mathematics A Practical Approach/
  56.    wt: 4:   Mathematics Skills Year by Year/
  57.    wt: 4:   2 Natural Logarithms Exponentials Powers Roots/
  58.    wt: 4:   1 Five Polynomial Operations/
  59.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  60.    wt: 4:   70 Calculus Starter Lessons/
  61.    wt: 4:   Advanced Calculus Volume 3 Appendices/
  62.    wt: 4:   Volume 3 Why Slopes A Calculus Intro Etc/
  63.    wt: 4:   Volume 2 Three Skills For Algebra/
  64.    wt: 4:   Work and Study Tips/
  65.    wt: 3:   Archives/
  66.    wt: 3:   francais/
  67.    wt: 3:   Arithmetic and Number Theory Skills/
  68.    wt: 3:   Skills with take home value/
  69.    wt: 3:   Volume 1B Mathematics Curriculum Notes/
  70.    wt: 3:   Volume 1 Elements of Reason/
  71.    wt: 3:   Resources and Reciprocal Links/
  72.    wt: 3:   Quebec Material/
  73.    wt: 3:   Mathematics Skill Development Framework/
  74.    wt: 2:   Direct Current Electric Circuits/
  75.    wt: 2:   Parent Center/
  76.    wt: 2:   More Algebra/
  77.    wt: 2:   Geometry maps plans trigonometry vectors/
  78.    wt: 2:   Algebra Starter Lessons/
  79.    wt: 2:   Volume 1A Pattern Based Reason/
  80.    wt: 11:   Step 4 Gaussian Elimination/
  81.    wt: 11:   Step 3 Easy systems in 2 or more unknowns/
  82.    wt: 10:   Step 1 Stick diagram and fractions/
  83.    wt: 10:   D Decimal Long Division Methods/
  84.    wt: 10:   C Decimal Multiplication Methods/
  85.    wt: 10:   B Decimal Comparing and Subtracting Methods/
  86.    wt: 10:   A Decimal Counting and Adding Methods/

Web Page Search

645 matches:

  1.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  2.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  3.    wt: 4:   Applied Maths Program14092009 POMME variant
  4.    wt: 4:   Postscript 2007 01 10
  5.    wt: 4:   04 25 when to stop or suspend mathemat
  6.    wt: 4:   chapitre 04 04 Parlons de la logique
  7.    wt: 4:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  8.    wt: 4:   chapitre 04 00 Les regles d implication
  9.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  10.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  11.    wt: 4:   13 From one to one to many to one
  12.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  13.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  14.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  15.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  16.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  17.    wt: 4:   10 video Prime Factorization upto 23 squared
  18.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  19.    wt: 3:   04 29 New Mathematics Curriculum
  20.    wt: 3:   02 20 mathematics education references
  21.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  22.    wt: 3:   chapitre 06 00 Chaines de la raison
  23.    wt: 3:   chapitre 05 00 Deception
  24.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  25.    wt: 3:   chapitre 04 09 Regles accidentelles
  26.    wt: 3:   chapitre 04 08 Limitations et benefices
  27.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  28.    wt: 3:   chapitre 04 06 engagements
  29.    wt: 3:   chapitre 04 05 Implication versus suggestion
  30.    wt: 3:   chapitre 04 02 Deuxieme enigme
  31.    wt: 3:   chapitre 04 01 Premiere enigme
  32.    wt: 3:   chapitre 02 00 La Communication des idees
  33.    wt: 3:   chapitre 01 00 Introduction
  34.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  35.    wt: 3:   Ages 3 plus to 4 plus
  36.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  37.    wt: 3:   4 Function notation in and beyond mathematics
  38.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  39.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  40.    wt: 3:   14 cosine even and sine and tangent are odd
  41.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  42.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  43.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  44.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  45.    wt: 3:   4 Polar Coordinates to and from
  46.    wt: 3:   3 Lengths and Areas on Maps and Plans
  47.    wt: 3:   13 Arrows and Vectors in a Plane
  48.    wt: 3:   4 A Brief Story of numbers and algebra
  49.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  50.    wt: 3:   4 LCM of 8 and 10 via Prime
  51.    wt: 3:   14 Adding and Subtracting with Like Denominators
  52.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  53.    wt: 3:   15 video Factors of 20 using Prime Factorization
  54.    wt: 3:   14 video Factors of 24 Take II
  55.    wt: 3:   13 video Factors of 24 using prime
  56.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  57.    wt: 3:   38 Formulas and derivatives for powers and roots
  58.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  59.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  60.    wt: 3:   Appendix E. How To Study Mathematics and Why
  61.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  62.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  63.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  64.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  65.    wt: 2:   05 13 OldSiteEntrancePage
  66.    wt: 2:   Education in mathematics science and technology
  67.    wt: 2:   How to be a better instructor
  68.    wt: 2:   words for mathematics instructor
  69.    wt: 2:   chapitre 12 00 les iles et division
  70.    wt: 2:   chapitre 07 01 principle D induction mathematique
  71.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  72.    wt: 2:   4 Energy Power Heat09
  73.    wt: 2:   3 Energy Power Heat08
  74.    wt: 2:   D Energy Power04
  75.    wt: 2:   C Energy Power03
  76.    wt: 2:   F Wire Resistance Calculation04
  77.    wt: 2:   E Wire Resistance Calculation03
  78.    wt: 2:   3 Like resistors in parallel
  79.    wt: 2:   2 Unlike resistors in parallel01
  80.    wt: 2:   Home Tutoring and Home Schooling
  81.    wt: 2:   24 Standards For Skill Develoment Take II
  82.    wt: 2:   24 Standards For Skill Develoment
  83.    wt: 2:   22 Student Centered Highschool Mathematics
  84.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  85.    wt: 2:   17 Math Booklets for children and young teenagers
  86.    wt: 2:   14 Multiplication and Times Tables
  87.    wt: 2:   13 Addition and Addition Tables
  88.    wt: 2:   12 Goals and Objectives For Mathematics
  89.    wt: 2:   4 Learning Takes Time and Effort
  90.    wt: 2:   Ages 12 to 14 Skills with take home value
  91.    wt: 2:   Ages 12 to 14 Geometry
  92.    wt: 2:   Ages 12 to 14 Arithmetic
  93.    wt: 2:   Ages 10 to 12 Geometry
  94.    wt: 2:   Ages 10 to 12 Arithmetic
  95.    wt: 2:   Ages 9 to 10
  96.    wt: 2:   Ages 4 plus to 5 plus
  97.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  98.    wt: 2:   3 quadratics factoring by inspection
  99.    wt: 2:   10 Exponential Growth and Decay Models
  100.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  101.    wt: 2:   8 Notes for instructors or tutors
  102.    wt: 2:   14 secant function Definition Graph and Inverse
  103.    wt: 2:   13 cosecant function Definition Graph and Inverse
  104.    wt: 2:   9 Summary Degrees to Radians and back
  105.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  106.    wt: 2:   13 Velocity Vectors in Physics
  107.    wt: 2:   12 From Applied To Pure Mathematics
  108.    wt: 2:   3 Navigation with Arrows or Vectors
  109.    wt: 2:   Vector and Complex Number Applet
  110.    wt: 2:   Triangle Angles Sum To 180 Degrees
  111.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  112.    wt: 2:   30 unit circle calculation of six trigonometric functions
  113.    wt: 2:   20 sine and cosine Double Angle Formulas
  114.    wt: 2:   10 Graphs of sines and cosines many periods
  115.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  116.    wt: 2:   13 Trig Formulas for dot and cross Products
  117.    wt: 2:   3 Trigonometric Ratios sine and cosine
  118.    wt: 2:   10 Midpoint of [a b] and [b a]
  119.    wt: 2:   7 Exercises to test skill and concept mastery
  120.    wt: 2:   10 Dropping a perpendicular to line
  121.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  122.    wt: 2:   4 Angles on Maps Plans drawn to scale
  123.    wt: 2:   4 Rates Ratios and Proporitionality
  124.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  125.    wt: 2:   4 Subtraction and Division Axioms
  126.    wt: 2:   3 More and Less Than with Unlike Signs
  127.    wt: 2:   2 More and Less Than for Counts and Measures
  128.    wt: 2:   10 Real Number Lengths and Signs
  129.    wt: 2:   3 Geometric Formulas and Function Notation
  130.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  131.    wt: 2:   3 GE III Equation Addition and Multiplication
  132.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  133.    wt: 2:   3 Adding Words To Arithmetic
  134.    wt: 2:   1 More and Less Than for Counts and Measures
  135.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  136.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  137.    wt: 2:   13 GCD from given Prime Factorization
  138.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  139.    wt: 2:   7 GCD and LCM from prime factorization
  140.    wt: 2:   5 Common Divisors 60 45 via Prime
  141.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  142.    wt: 2:   12 GCD 2700 288 via Prime
  143.    wt: 2:   3 Counting with Tables and Trees II
  144.    wt: 2:   3 signed coordinates for maps and planes
  145.    wt: 2:   3 Multiplying Units and Numbers
  146.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  147.    wt: 2:   17 Efficient Ways to Add and Subtract
  148.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  149.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  150.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  151.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  152.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  153.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  154.    wt: 2:   20 Uniqueness of Prime Factorization
  155.    wt: 2:   18 video Count Factors given Prime Factorization
  156.    wt: 2:   17 Identify and Count Factors using Primes
  157.    wt: 2:   16 video Factors of 980 using prime
  158.    wt: 2:   9 video Prime Factorization upto 19 squared
  159.    wt: 2:   8 video Prime Factorization upto 19
  160.    wt: 2:   7 Calculator Usage Notes and Cautions
  161.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  162.    wt: 2:   5 Prime Factorization and a Square Rule
  163.    wt: 2:   4 video Prime Factorization Introduction
  164.    wt: 2:   3 video Primes and Composites from 9 times table
  165.    wt: 2:   Long Division forwards and backwards Example 3
  166.    wt: 2:   10 Division by Five Long and Short Ways
  167.    wt: 2:   4 Two and Three Digit Multipliers
  168.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  169.    wt: 2:   8 What skills and work habits to require
  170.    wt: 2:   6. Counting and adding units and mixed units
  171.    wt: 2:   4. How to add with decimals B with conversions
  172.    wt: 2:   3. How to add with decimals A sans conversions
  173.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  174.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  175.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  176.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  177.    wt: 2:   Quick history of numbers and algebra
  178.    wt: 2:   015 School and work day counting tables
  179.    wt: 2:   014 Counting Days with Calendars
  180.    wt: 2:   013 Travel Time Tables
  181.    wt: 2:   010 Repeated Addition of Time Intervals
  182.    wt: 2:   4 Mixing and Changing Units of Time
  183.    wt: 2:   3 Units and Lengths of Time
  184.    wt: 2:   34 Derivative of exponential function
  185.    wt: 2:   33 Chain Rule Real Player video examples
  186.    wt: 2:   30Chain Rule A Proof
  187.    wt: 2:   15 sine and cosine derivatives 3rd step
  188.    wt: 2:   14 sine and cosine derivatives 2nd step
  189.    wt: 2:   13 sine and cosine derivatives 1st step
  190.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  191.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  192.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  193.    wt: 2:   Chapter 23 Links To Trigonometry
  194.    wt: 2:   Chapter 10 Slopes and Units
  195.    wt: 2:   Appendix D. What to do in School and Why
  196.    wt: 2:   Chapter 31 Direct and Indirect Reason
  197.    wt: 2:   Chapter 30 Truth Tables
  198.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  199.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  200.    wt: 2:   Chapter 20. Degrees and Radians
  201.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  202.    wt: 2:   Chapter 10 Describing and Changing Calculations
  203.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  204.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  205.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  206.    wt: 2:   Chapter 2 For and Against Mathematics
  207.    wt: 2:   Postscript B More on Story Telling and Reason
  208.    wt: 2:   Chapter 24 Direct and Indirect Reason
  209.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  210.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  211.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  212.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  213.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  214.    wt: 2:   O On Learning Mathematics and Science
  215.    wt: 2:   E. When and how to correct errors
  216.    wt: 2:   A. Skill has to be seen to believed
  217.    wt: 2:   How to Build Skills and Confidence
  218.    wt: 2:   Chapter 8 Skipped Topics and Why
  219.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  220.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  221.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  222.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  223.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  224.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  225.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  226.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  227.    wt: 2:   Helping the Blind in Logic and Mathematics
  228.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  229.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  230.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  231.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  232.    wt: 1:   Appendix 2 primary school Arithmetic 01
  233.    wt: 1:   Appendix 1 primary and preschool mathematic
  234.    wt: 1:   E LAMP Introduction Modern Mathematics
  235.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  236.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  237.    wt: 1:   Skills Chapter 4 Logic
  238.    wt: 1:   Skills Chapter 3 Algebra
  239.    wt: 1:   Skills Chapter 0 Introduction
  240.    wt: 1:   11 pure mathematics
  241.    wt: 1:   10 statistics
  242.    wt: 1:   9 combinatorics probability sets
  243.    wt: 1:   7 logic review and decimals an odd combination
  244.    wt: 1:   5 logarithms and exponentials etc
  245.    wt: 1:   4 algebra
  246.    wt: 1:   3 Euclidean Geometry Leanly
  247.    wt: 1:   which way to go
  248.    wt: 1:   three goals to set for students
  249.    wt: 1:   key notes and themes
  250.    wt: 1:   Mathematics Education Professors
  251.    wt: 1:   grouping students according to ability
  252.    wt: 1:   what should be learnt and When
  253.    wt: 1:   mathematics in context
  254.    wt: 1:   Secondary Three Mathematics
  255.    wt: 1:   Secondary Two Mathematics
  256.    wt: 1:   Secondary One Mathematics
  257.    wt: 1:   What to Tell Students
  258.    wt: 1:   mathematics curriculum shifts
  259.    wt: 1:   teaching tutoring algebraic reason
  260.    wt: 1:   three goals for Mathematics Education
  261.    wt: 1:   02 21 words for teachers
  262.    wt: 1:   three aims for mathematics students
  263.    wt: 1:   standards for course material
  264.    wt: 1:   Operational Viewpoint to Value
  265.    wt: 1:   mathematics instruction in general
  266.    wt: 1:   three kinds of reason in mathematics
  267.    wt: 1:   Four ways to improve education reform
  268.    wt: 1:   Motivation and Context Problem
  269.    wt: 1:   need for a mixed mathematics curriculum
  270.    wt: 1:   Leaner mathematics curriculum
  271.    wt: 1:   fairness and inductive principles for instruction
  272.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  273.    wt: 1:   2 Energy Power Heat07
  274.    wt: 1:   1 Energy Power Heat06
  275.    wt: 1:   E Energy Power05
  276.    wt: 1:   B Energy Power02
  277.    wt: 1:   A Energy Power01
  278.    wt: 1:   2 Conductance Resistance Duality02
  279.    wt: 1:   1 Conductance Resistance Duality01
  280.    wt: 1:   D Wire Resistance Calculation02
  281.    wt: 1:   C Wire Resistance Calculation01
  282.    wt: 1:   B Wire Resistance Qualitative02
  283.    wt: 1:   A Wire Resistance Qualitative01
  284.    wt: 1:   1 Like resistors in series
  285.    wt: 1:   H Series Circuit02
  286.    wt: 1:   G Series Circuit01
  287.    wt: 1:   F Unlike Resistors in Series
  288.    wt: 1:   C Electromotive force conventional current02
  289.    wt: 1:   B Electromotive force conventional current01
  290.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  291.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  292.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  293.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  294.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  295.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  296.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  297.    wt: 1:   18 Primary School Mathematics
  298.    wt: 1:   16 Secondary Mathematics Tips
  299.    wt: 1:   11 Help and Defend Your Child or Teens Education
  300.    wt: 1:   10 Ends values for work study instruction
  301.    wt: 1:   5 Patience Please for Yourself and Your Charges
  302.    wt: 1:   3 Preparing for Science Studies
  303.    wt: 1:   2 Reading and Writing Skills
  304.    wt: 1:   Ages 8 to 9
  305.    wt: 1:   Ages 7 to 8
  306.    wt: 1:   Ages 6 to 7
  307.    wt: 1:   sign monoticity analysis example 4
  308.    wt: 1:   sign monoticity analysis example 3
  309.    wt: 1:   26 Function definitions done and coming
  310.    wt: 1:   23 Inverse Functions
  311.    wt: 1:   20 Interchanging coordinates a reflection
  312.    wt: 1:   19 Horizontal line rule and method
  313.    wt: 1:   18 Vertical Line Rule and Method
  314.    wt: 1:   17 Function maxima minima and their location
  315.    wt: 1:   14 Surjections Injections Bijections
  316.    wt: 1:   11 Function Domain Range Source and Targets
  317.    wt: 1:   10 Interval Notation
  318.    wt: 1:   8 Set view of relations and functions
  319.    wt: 1:   6 Set Existence Formation and Notation
  320.    wt: 1:   3 Formula or function graphing exercise
  321.    wt: 1:   10 quadratic exercises
  322.    wt: 1:   9 quadratics physical and further context
  323.    wt: 1:   4 quadratics difference of two squares
  324.    wt: 1:   Quadratics in 10 steps
  325.    wt: 1:   11 Growth and Decay in Biology
  326.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  327.    wt: 1:   5 Natural Logarithm Calculator Exercises
  328.    wt: 1:   1 Calculator Starter Exercises
  329.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  330.    wt: 1:   4 Polynomials Long division linear divisor
  331.    wt: 1:   3 Polynomials Multiplication Addition
  332.    wt: 1:   16 cotangent function Definition Graph and Inverse
  333.    wt: 1:   15 cosecant function Definition Graph and Inverse
  334.    wt: 1:   10 arctan left inverse of tangent Definition
  335.    wt: 1:   4 possible motivation for term arccos
  336.    wt: 1:   3 Left Inverse of cosine arccos definition
  337.    wt: 1:   6 Radian Measure to Degrees
  338.    wt: 1:   5 Degrees to Radian Measure
  339.    wt: 1:   1 Degrees and Radians Introduction
  340.    wt: 1:   A Global Time and Navigation
  341.    wt: 1:   15 Dot and Cross Product
  342.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  343.    wt: 1:   10 Parallelogram Addition Method
  344.    wt: 1:   9 Head to Tail Coordinate View
  345.    wt: 1:   8 Parallel Vectors
  346.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  347.    wt: 1:   6 Vectors with Coordinates
  348.    wt: 1:   5 Head To Tail Arrow Addition
  349.    wt: 1:   4 Resultant of a Sum of Movements
  350.    wt: 1:   4 graphing y=Asin(x c)
  351.    wt: 1:   3 graphing y=f(x c) plus K
  352.    wt: 1:   Parallel Lines and Parallel Transversals
  353.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  354.    wt: 1:   Parallel Lines and Interior Angles
  355.    wt: 1:   14 Straight Lines Equations General Case
  356.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  357.    wt: 1:   10 Straight Lines through Origin Equations More
  358.    wt: 1:   4 Tangent Function Properties
  359.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  360.    wt: 1:   32 seven rows of pascals triangle
  361.    wt: 1:   31 basic secant cosecant cotangent trig identities
  362.    wt: 1:   29 secant cosecant and cotangent for acute angles
  363.    wt: 1:   27 Logarithmic use of products of sines and cosines
  364.    wt: 1:   26 Formulas for products of sines and cosines
  365.    wt: 1:   24 tangent Angle Difference Formula
  366.    wt: 1:   21 sine and cosine Half Angle Formulas
  367.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  368.    wt: 1:   17E Trig Formulas for dot and cross Products
  369.    wt: 1:   17D cis formulas for sine cosines and tangent
  370.    wt: 1:   17C sine and cosine double triple angle formulas
  371.    wt: 1:   13 Graph of tangent function many periods
  372.    wt: 1:   9 Graphs of sine and cosine over one period
  373.    wt: 1:   7 period of sine and cosine
  374.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  375.    wt: 1:   21 Logarithms Powers and Exponentials
  376.    wt: 1:   20 N th Roots of Complex Numbers
  377.    wt: 1:   16 References and Originality Question
  378.    wt: 1:   14 Law of cosines
  379.    wt: 1:   12 cis formulas for sine cosines and tangent
  380.    wt: 1:   11 sine and cosine double triple angle formulas
  381.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  382.    wt: 1:   7 Second Way to Calculate Products
  383.    wt: 1:   4 Multiplication Properties
  384.    wt: 1:   3 Addition Properties
  385.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  386.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  387.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  388.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  389.    wt: 1:   8 Similarity of Triangles and Polygons
  390.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  391.    wt: 1:   4 Similarity Definition with Coordinate
  392.    wt: 1:   3 Similarity by Design with coordinates
  393.    wt: 1:   4 Equations for lines three forms
  394.    wt: 1:   3 Slope product for perpendicular lines
  395.    wt: 1:   1 Numerical view of lines and their equations
  396.    wt: 1:   What is and is not here
  397.    wt: 1:   13 Pythagorean spatial distance formulas
  398.    wt: 1:   10 Pythagorean plane distance formula
  399.    wt: 1:   6 Polar Multiplication and Rotation
  400.    wt: 1:   5 Cartesian Addition and Translation
  401.    wt: 1:   3 Rectangular Coordinates Review
  402.    wt: 1:   17 Right Bisectors of Triangle Sides
  403.    wt: 1:   16 Angles Subtended By Chords and Diameters
  404.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  405.    wt: 1:   14 Parallel Lines Postulate
  406.    wt: 1:   13 Angle Side Angle Failure
  407.    wt: 1:   9 Construction of a right bisector
  408.    wt: 1:   6 Ruler and compass Angle Bisection
  409.    wt: 1:   4 Side Side Side
  410.    wt: 1:   3 Isometry of Triangles Congruence
  411.    wt: 1:   1 Initial Concepts and Terms
  412.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  413.    wt: 1:   6 Figuring with Maps Not to Scale
  414.    wt: 1:   A Modular and Remainder Arithmetic
  415.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  416.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  417.    wt: 1:   23 Distributive Law Two Derivations
  418.    wt: 1:   21 Addition of Multiples of a Single Vector
  419.    wt: 1:   19 Signed Multiples of Vectors
  420.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  421.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  422.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  423.    wt: 1:   15 Head to Tails in place Addition Associative
  424.    wt: 1:   11 Signed Number Addition and Addition Properties
  425.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  426.    wt: 1:   8 Division and Mulplication of Compound Fractions
  427.    wt: 1:   4 Location of Point in Decimal Addition
  428.    wt: 1:   3 Location of Point in Decimal Multiplication
  429.    wt: 1:   B Decimal Comparison and Subtraction
  430.    wt: 1:   4 Commutative Law Groups Counting Form
  431.    wt: 1:   3 Multiplicative Counting Skills Principles
  432.    wt: 1:   2 Combing Counts Addition Skills and Principles
  433.    wt: 1:   4 Fraction Operations Axiomatic Development
  434.    wt: 1:   3 Inequalities Algebraically
  435.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  436.    wt: 1:   3 Proportionality Examples
  437.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  438.    wt: 1:   6 Compound Interest Forward and Backwards
  439.    wt: 1:   3 Linear Equation Literal Solution More
  440.    wt: 1:   6 Equations and Systems Equivalent or Implied
  441.    wt: 1:   3 Product Axioms Two Forms
  442.    wt: 1:   2 Addition and Multiplication Axioms
  443.    wt: 1:   4 Comparison of Negative Numbers
  444.    wt: 1:   14 Real Number Multiplication
  445.    wt: 1:   13 Real Number Subtraction
  446.    wt: 1:   8 Coordinates for Maps and Planes
  447.    wt: 1:   4 Rational Numbers
  448.    wt: 1:   3 Fractions
  449.    wt: 1:   1 Whole and Natural Numbers
  450.    wt: 1:   4 Changing Letters
  451.    wt: 1:   1 Formulas Dependence and Function Notation
  452.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  453.    wt: 1:   4 GE III Animated Examples
  454.    wt: 1:   4 Solving a triangular system exercise
  455.    wt: 1:   3 Solving triangular system example
  456.    wt: 1:   4 Four Examples Fractional Coefficients
  457.    wt: 1:   3 Four Examples
  458.    wt: 1:   10 One Example
  459.    wt: 1:   4 Two Examples
  460.    wt: 1:   3 Two Examples
  461.    wt: 1:   13 Naming Identifying Formulas with Words
  462.    wt: 1:   10 Volume of Pyramid
  463.    wt: 1:   4 Circle Area Formula Example
  464.    wt: 1:   3 Triangle Area Formula Example
  465.    wt: 1:   1 Written work formats for developing and showing skill
  466.    wt: 1:   9 Sets in Probability and Statistics
  467.    wt: 1:   4 Subset Builder Notation
  468.    wt: 1:   3 Counting with Sets etc
  469.    wt: 1:   5 Talking about Numbers and Quantities
  470.    wt: 1:   4 Greater More Less Than Signs in General
  471.    wt: 1:   3 Comparison of Negative Numbers
  472.    wt: 1:   2 More and Less Than with Unlike Signs
  473.    wt: 1:   4 Square Roots with primes more
  474.    wt: 1:   3 Properties of Square Roots with example
  475.    wt: 1:   1 Squares and Square Roots Introduction
  476.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  477.    wt: 1:   4 Counting with Trees Product Rule Take I
  478.    wt: 1:   2 Counting with Tables and Trees I
  479.    wt: 1:   1 Counting and Counting Methods I
  480.    wt: 1:   11 What are real lengths and numbers
  481.    wt: 1:   10 dividing signed numbers
  482.    wt: 1:   7 negative and additive inverse
  483.    wt: 1:   5 lengths and signs of numbers
  484.    wt: 1:   4 signed coordinates for regions in space
  485.    wt: 1:   2 signed and unsigned numbers as coordinates
  486.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  487.    wt: 1:   4 Fractions with Units
  488.    wt: 1:   2 Equality and Units
  489.    wt: 1:   1 Addition and Subtraction with Units
  490.    wt: 1:   B Fractions and Two Term Ratios
  491.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  492.    wt: 1:   21 Reciprocals for Fractions and Wholes
  493.    wt: 1:   20 Dividing Fractions the Why
  494.    wt: 1:   19 Dividing Fractions How TO
  495.    wt: 1:   18 Efficient Ways to Multiply
  496.    wt: 1:   13 Fraction Comparison Algebraic View
  497.    wt: 1:   9 Improper Fractions and Mixed Numbers
  498.    wt: 1:   4 Fraction Multiplication
  499.    wt: 1:   3 Unit fraction of a fraction
  500.    wt: 1:   13 Subtraction with Additive Inverse
  501.    wt: 1:   11 Adding Integers Formulas and Examples
  502.    wt: 1:   10 Integer Multiplication Formulas
  503.    wt: 1:   5 Zero Movement and Additive Inverses
  504.    wt: 1:   4 Adding Movements wiht opposite directions
  505.    wt: 1:   3 Adding Movements with same direction
  506.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  507.    wt: 1:   26 Divisibility by 2 3 5 Example
  508.    wt: 1:   23 Remainder Arithmetic Modulo 2
  509.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  510.    wt: 1:   21 Remainder Arithmetic Modulo 3
  511.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  512.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  513.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  514.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  515.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  516.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  517.    wt: 1:   1 Remainder Arithmetic Modulo 10
  518.    wt: 1:   19 video Prime Factorization Unique
  519.    wt: 1:   12 LCD GCD and LCM using Primes
  520.    wt: 1:   2 Prime and Composites less than 16
  521.    wt: 1:   1 video how Products are bigger than factor
  522.    wt: 1:   Division with Counts and Length
  523.    wt: 1:   Long Division forwards and backwards Example 2
  524.    wt: 1:   Long Division forwards and backwards Example 1
  525.    wt: 1:   4 Division with 2 Digit Divsors
  526.    wt: 1:   3 Division Single Digit Divisor Example
  527.    wt: 1:   3 More One Digit Multipliers
  528.    wt: 1:   1 Why 3 times 5 gives 15
  529.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  530.    wt: 1:   5. How to add decimals C. Examples
  531.    wt: 1:   11 Place Value SI Standard International way
  532.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  533.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  534.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  535.    wt: 1:   Exact Arithmetic Wholes and Fractions
  536.    wt: 1:   Formula Evaluation how to show work
  537.    wt: 1:   Expression Evaluation how to show work
  538.    wt: 1:   The 20 Times Table
  539.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  540.    wt: 1:   016 Numbering Occidental Calendar Days
  541.    wt: 1:   012 Division of Time Intervals by Time Intervals
  542.    wt: 1:   011 Division of Time Intervals By Numbers
  543.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  544.    wt: 1:   8 Addition of Time Intervals via subtotaling
  545.    wt: 1:   2 Time and Date Matters in School
  546.    wt: 1:   1 Intro of Kids To Time Date Skills
  547.    wt: 1:   Example 1. Area Between x and x squared
  548.    wt: 1:   Example 4 with x function of y
  549.    wt: 1:   Example 3
  550.    wt: 1:   A Related Material in Volume 3
  551.    wt: 1:   4 Definite Integrals Evaluation Exercises
  552.    wt: 1:   3 Two Chain Rule Method Exercises
  553.    wt: 1:   A Related lessons in Volume 3
  554.    wt: 1:   4 Second derivative test exercise example
  555.    wt: 1:   3 Second derivative test
  556.    wt: 1:   36 Cube root derivative animated
  557.    wt: 1:   31 Derivatives of inverse functions
  558.    wt: 1:   24 Chain Rule Animated Examples
  559.    wt: 1:   23 Chain Rule in general
  560.    wt: 1:   20 Chain Rule for Pulley Systems
  561.    wt: 1:   17 Derivatives of quotients of sine and cosine
  562.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  563.    wt: 1:   10 Power rule for negative integers
  564.    wt: 1:   4 Sum Rule
  565.    wt: 1:   3 Motivation for Limit Definition Take 2
  566.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  567.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  568.    wt: 1:   10 Three one sided limits with infinite values
  569.    wt: 1:   9 Limits Continuity and Composition
  570.    wt: 1:   5 Jumps and absence of unlimited error control
  571.    wt: 1:   4 Numerical properties
  572.    wt: 1:   3 Decimal insights for limits continuity convergence
  573.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  574.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  575.    wt: 1:   G.3 Constant Difference Theorem Proof
  576.    wt: 1:   F.4 Finite Covering Theorem
  577.    wt: 1:   F.3 Intermediate Value Theorem
  578.    wt: 1:   D2 Limits of Monotone Sequences
  579.    wt: 1:   B3 Bolzano Weierstrass Theorem
  580.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  581.    wt: 1:   PostScript For and Against Decimal Perspectives
  582.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  583.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  584.    wt: 1:   Chapter 13. Acceleration
  585.    wt: 1:   Chapter 12. Units and Slopes
  586.    wt: 1:   Chapter 7 Slopes and Velocity
  587.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  588.    wt: 1:   Chapter 4. More Slope Sign Analysis
  589.    wt: 1:   Chapter 3. Slope Sign Analysis
  590.    wt: 1:   Chapter 2. Slopes and Ski Trails
  591.    wt: 1:   Fall 1983 Calculus Appetizer
  592.    wt: 1:   Appendix C. How to Read
  593.    wt: 1:   Appendix B. How To Learn
  594.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  595.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  596.    wt: 1:   Chapter 23. Notation For Sums
  597.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  598.    wt: 1:   Chapter 19. Functions and Sets
  599.    wt: 1:   Chapter 13. Second Reading Guide
  600.    wt: 1:   Chapter 12. Shorthand Usage Guide
  601.    wt: 1:   Chapter 11. Why Shorthand
  602.    wt: 1:   Chapter 4 Longer Chains of Reason
  603.    wt: 1:   Chapter 3 Chains of Reason
  604.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  605.    wt: 1:   Annotated Links to Material Elsehwere
  606.    wt: 1:   Postscript B Mathematics Education References
  607.    wt: 1:   Chapter 10 Transition
  608.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  609.    wt: 1:   Chapter 3 Algebra Difficulties
  610.    wt: 1:   Postscript C Consistency as a Tool for Reason
  611.    wt: 1:   Postscript A Story Telling
  612.    wt: 1:   Chapter 23 Truth Tables
  613.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  614.    wt: 1:   Chapter 18 Sense and Knowledge
  615.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  616.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  617.    wt: 1:   Chapter 10 Responsibility
  618.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  619.    wt: 1:   S Adding words to algebra
  620.    wt: 1:   R Why Learn Mathematics Skills
  621.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  622.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  623.    wt: 1:   N Mathematics Prepare for College Studies
  624.    wt: 1:   M Words to extend arithmetic
  625.    wt: 1:   N Improving Marks on Tests and Finals
  626.    wt: 1:   J. More on written work and showing skill
  627.    wt: 1:   I. Logic and language skills
  628.    wt: 1:   H more Routine to non routine problem solving
  629.    wt: 1:   H Jigsaw puzzles and problem solving
  630.    wt: 1:   G. Written work formats for developing and showing skill
  631.    wt: 1:   F. The student teacher tutor feedback loop
  632.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  633.    wt: 1:   Chapter 6 More Algebra and Geometry
  634.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  635.    wt: 1:   Chapter 3 Algebra Starter Lessons
  636.    wt: 1:   7 Games and Activities for Instruction
  637.    wt: 1:   Mathematics Education References
  638.    wt: 1:   Mathematics Education References
  639.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  640.    wt: 1:   More Algebra and Slope based Calculus Preview
  641.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  642.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  643.    wt: 1:   Which Way To Go
  644.    wt: 1:   Mathematics Teacher Certification Best Practices
  645.    wt: 1:   The Math Forum and Site Content

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  1.    wt: 9:   Appendix 2 primary school Arithmetic 01
  2.    wt: 9:   Appendix 1 primary and preschool mathematic
  3.    wt: 9:   K LAMP Musings Science Education
  4.    wt: 9:   J LAMP Introduction Extrinsic Origins
  5.    wt: 9:   I LAMP Introduction Study Habits
  6.    wt: 9:   H LAMP Introduction Instructional Concepts
  7.    wt: 9:   G LAMP Introduction Problem Solving Skills
  8.    wt: 9:   F LAMP Introduction Prerequisites
  9.    wt: 9:   A Introduction Objectives
  10.    wt: 9:   10 statistics
  11.    wt: 9:   9 combinatorics probability sets
  12.    wt: 9:   7 logic review and decimals an odd combination
  13.    wt: 9:   5 logarithms and exponentials etc
  14.    wt: 9:   What is POMME
  15.    wt: 9:   Mathematics Education Professors
  16.    wt: 9:   teacher certification
  17.    wt: 9:   what should be learnt and When
  18.    wt: 9:   mathematics in context
  19.    wt: 9:   Education Reform Inconsistencies
  20.    wt: 9:   teaching tutoring algebraic reason
  21.    wt: 9:   05 13 OldSiteEntrancePage
  22.    wt: 9:   Four ways to improve education reform
  23.    wt: 9:   Motivation and Context Problem
  24.    wt: 9:   need for a mixed mathematics curriculum
  25.    wt: 9:   fairness and inductive principles for instruction
  26.    wt: 9:   Ages 10 to 12 Geometry
  27.    wt: 9:   Ages 10 to 12 Arithmetic
  28.    wt: 9:   Ages 9 to 10
  29.    wt: 9:   26 Function definitions done and coming
  30.    wt: 9:   19 Horizontal line rule and method
  31.    wt: 9:   18 Vertical Line Rule and Method
  32.    wt: 9:   17 Function maxima minima and their location
  33.    wt: 9:   11 Function Domain Range Source and Targets
  34.    wt: 9:   9 Set theory term relation possible origins
  35.    wt: 9:   7 Functions with finite domains
  36.    wt: 9:   5 Function notation for geometric transformations
  37.    wt: 9:   2 Algebraic use of function notation
  38.    wt: 9:   1 Geometric Introduction of Function Notation
  39.    wt: 9:   A Quadratics Summary
  40.    wt: 9:   9 quadratics physical and further context
  41.    wt: 9:   4 quadratics difference of two squares
  42.    wt: 9:   10 Exponential Growth and Decay Models
  43.    wt: 9:   14 secant function Definition Graph and Inverse
  44.    wt: 9:   13 cosecant function Definition Graph and Inverse
  45.    wt: 9:   11 Component Method
  46.    wt: 9:   4 graphing y=Asin(x c)
  47.    wt: 9:   3 graphing y=f(x c) plus K
  48.    wt: 9:   Parallel Lines and Alternating Corresponding Angles
  49.    wt: 9:   11 Straight Lines Graphing y=mx
  50.    wt: 9:   4 Tangent Function Properties
  51.    wt: 9:   3 Straight Lines Slope as Tangent of Inclination Angle
  52.    wt: 9:   2 Straight Lines Slopes As Rise Over Run
  53.    wt: 9:   31 basic secant cosecant cotangent trig identities
  54.    wt: 9:   23 sine and cosine of 180 plus 22.5 degrees
  55.    wt: 9:   14 cosine even and sine and tangent are odd
  56.    wt: 9:   10 Graphs of sines and cosines many periods
  57.    wt: 9:   7 period of sine and cosine
  58.    wt: 9:   5 sines and cosines for reference angle 60 degrees
  59.    wt: 9:   20 N th Roots of Complex Numbers
  60.    wt: 9:   14 Law of cosines
  61.    wt: 9:   10 sine cosine Angle Sum Formulas via cis
  62.    wt: 9:   7 Second Way to Calculate Products
  63.    wt: 9:   Appetizer A Complex Number Applet
  64.    wt: 9:   5 Trigonometric Ratios For Tangent and Special Triangles
  65.    wt: 9:   4 Trigonometric Ratios For Two Special Triangles
  66.    wt: 9:   Why Trigonometry the whyslopes view
  67.    wt: 9:   Euclidean Geometry Elsewhere LINKS
  68.    wt: 9:   14 Parallel Lines Postulate
  69.    wt: 9:   13 Angle Side Angle Failure
  70.    wt: 9:   9 Construction of a right bisector
  71.    wt: 9:   6 Ruler and compass Angle Bisection
  72.    wt: 9:   1 Initial Concepts and Terms
  73.    wt: 9:   Short Course on Euclidean Geometry
  74.    wt: 9:   A Measurement with Ruler Proper Use
  75.    wt: 9:   2 Measuring Area Directly
  76.    wt: 9:   1 Length Measurement
  77.    wt: 9:   A Modular and Remainder Arithmetic
  78.    wt: 9:   26 More Less Greater Than Comparison
  79.    wt: 9:   22 Multiplication of Signed Numbers
  80.    wt: 9:   21 Addition of Multiples of a Single Vector
  81.    wt: 9:   19 Signed Multiples of Vectors
  82.    wt: 9:   18 Geometrically Why Vector Addition Commutes
  83.    wt: 9:   17 Arrows Rotate to Reverse with Length Unchanged
  84.    wt: 9:   16 Collinear Horizontal Arrows Vectors
  85.    wt: 9:   15 Head to Tails in place Addition Associative
  86.    wt: 9:   11 Signed Number Addition and Addition Properties
  87.    wt: 9:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  88.    wt: 9:   8 Division and Mulplication of Compound Fractions
  89.    wt: 9:   4 Location of Point in Decimal Addition
  90.    wt: 9:   3 Location of Point in Decimal Multiplication
  91.    wt: 9:   E Long Division Methods more
  92.    wt: 9:   D Long Division Methods
  93.    wt: 9:   C Three Decimal Subtraction Methods
  94.    wt: 9:   A Decimal Addition Columm Methods
  95.    wt: 9:   8 Column Multiplication Methods in General
  96.    wt: 9:   7 Decimals Multiplication Methods Examples
  97.    wt: 9:   6 Column Methods for Decimal Multiplication
  98.    wt: 9:   5 Distributive Law for Whole Numbers
  99.    wt: 9:   1 The Counting Origins of Numbers
  100.    wt: 9:   5 Areas of Rectangles Revisited
  101.    wt: 9:   2 Fraction Operations Physical Development
  102.    wt: 9:   5 Proportionality in Equivalent Fractions
  103.    wt: 9:   2 Algebraic View
  104.    wt: 9:   1 What is Proportionality
  105.    wt: 9:   8 Pythagorean Relation Forwards Backwards
  106.    wt: 9:   7 Pythagorean Theorem Chinese Square Proof
  107.    wt: 9:   5 Triangle Area Formula Backwards
  108.    wt: 9:   2 Linear Equation Literal Solution
  109.    wt: 9:   1 Changing Calculations
  110.    wt: 9:   14 Real Number Multiplication
  111.    wt: 9:   13 Real Number Subtraction
  112.    wt: 9:   8 Coordinates for Maps and Planes
  113.    wt: 9:   5 Rational Numbers More
  114.    wt: 9:   2 Integers
  115.    wt: 9:   More Exercises
  116.    wt: 9:   Using Letters for Physical Quantities
  117.    wt: 9:   13 Naming Identifying Formulas with Words
  118.    wt: 9:   10 Volume of Pyramid
  119.    wt: 9:   9 Volume of Cone
  120.    wt: 9:   8 Compound Interest Formula Evaluation
  121.    wt: 9:   7 Compound Interest Formula Introduction
  122.    wt: 9:   6 Pythagorean Hypotenuse Calculation Example
  123.    wt: 9:   5 Box Volume Formula Example
  124.    wt: 9:   2 Another Rectangle Area Formula Example
  125.    wt: 9:   8 Sets of Numbers
  126.    wt: 9:   7 Cautious or Safe Set Construction
  127.    wt: 9:   6 Power Set Notation
  128.    wt: 9:   5 Product Builder Notation
  129.    wt: 9:   2 Venn Diagrams
  130.    wt: 9:   1 Finite Sets
  131.    wt: 9:   1 Squares and Square Roots Introduction
  132.    wt: 9:   16 GCD and LCM of 650 225 via Prime
  133.    wt: 9:   6 GCD from Prime
  134.    wt: 9:   2 Least Common Multiple LCM intro via list method
  135.    wt: 9:   11 What are real lengths and numbers
  136.    wt: 9:   9 subtracting signed numbers
  137.    wt: 9:   8 multiplying signed numbers
  138.    wt: 9:   6 adding signed numbers
  139.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  140.    wt: 9:   4 Fractions with Units
  141.    wt: 9:   2 Equality and Units
  142.    wt: 9:   1 Addition and Subtraction with Units
  143.    wt: 9:   13 Fraction Comparison Algebraic View
  144.    wt: 9:   9 Improper Fractions and Mixed Numbers
  145.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  146.    wt: 9:   B Integer Long Division Multiple Choices
  147.    wt: 9:   A Associative Law Theorectical Note
  148.    wt: 9:   13 Subtraction with Additive Inverse
  149.    wt: 9:   11 Adding Integers Formulas and Examples
  150.    wt: 9:   9 Multiplying Integers
  151.    wt: 9:   8 Multiplication by Signed Numbers Integers
  152.    wt: 9:   7 Multiplication by Signs
  153.    wt: 9:   6 Multiplication by Natural Numbers
  154.    wt: 9:   2 Integers Multiplies of a Unit Moverment
  155.    wt: 9:   1 Integers as Coordinates
  156.    wt: 9:   11 Place Value SI Standard International way
  157.    wt: 9:   9 Place Value Review Decimal form of Avogrados number included
  158.    wt: 9:   2 Groups of Three Place Value for Multidigit Decimals
  159.    wt: 9:   1 Place Value in Three Digit Whole Numbers
  160.    wt: 9:   Area Between Curves Lesson Take 2
  161.    wt: 9:   D1 Sets and Sequences GLBs and LGBs
  162.    wt: 9:   B3 Bolzano Weierstrass Theorem
  163.    wt: 9:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  164.    wt: 9:   Chapter 20 Vectors and Complex Numbers
  165.    wt: 9:   Chapter 14 Limits and Continuity with and sans Decimals
  166.    wt: 9:   Appendix C. How to Read
  167.    wt: 9:   Chapter 31 Direct and Indirect Reason
  168.    wt: 9:   Chapter 24. Personal Investment and Pension EGS
  169.    wt: 9:   Chapter 20. Degrees and Radians
  170.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  171.    wt: 9:   Chapter 10 Describing and Changing Calculations
  172.    wt: 9:   Chapter 5 Islands and Divisions of Knowledge
  173.    wt: 9:   Chapter 4 Longer Chains of Reason
  174.    wt: 9:   Chapter 3 Chains of Reason
  175.    wt: 9:   Chapter 1 Introduction to Chapters 2 to 6
  176.    wt: 9:   V Reasons and Motivations for Logic and Mathematics
  177.    wt: 9:   E. When and how to correct errors
  178.    wt: 9:   A. Skill has to be seen to believed
  179.    wt: 9:   Chapter 7 Calculus Previews and Calculus Lightly
  180.    wt: 9:   Chapter 6 More Algebra and Geometry
  181.    wt: 9:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  182.    wt: 9:   6 Measuring via counting or arithmetic the role of fractions
  183.    wt: 9:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  184.    wt: 8:   Skills Chapter 5 Calculus
  185.    wt: 8:   Ramblings Extrinsic numbers theory
  186.    wt: 8:   Ramblings Introduction Algebra Essay
  187.    wt: 8:   Skills Chapter 2 Geometry
  188.    wt: 8:   Skills Chapter 1 Arithmetic
  189.    wt: 8:   11 pure mathematics
  190.    wt: 8:   8 analytic geometry etc
  191.    wt: 8:   6 polynomials etc
  192.    wt: 8:   2 arithmetic with signed numbers
  193.    wt: 8:   1 arithmetic with unsigned numbers
  194.    wt: 8:   which way to go
  195.    wt: 8:   website reviews
  196.    wt: 8:   three goals to set for students
  197.    wt: 8:   Teach the teachers plus goals
  198.    wt: 8:   permissions for teachers
  199.    wt: 8:   Math Ed if it must be short make it lean effective
  200.    wt: 8:   links Education Resources online
  201.    wt: 8:   site eurekas
  202.    wt: 8:   key notes and themes
  203.    wt: 8:   modern education
  204.    wt: 8:   grouping students according to ability
  205.    wt: 8:   Secondary Two Mathematics
  206.    wt: 8:   Secondary One Mathematics
  207.    wt: 8:   mathematics curriculum shifts
  208.    wt: 8:   geometric implications for algebra
  209.    wt: 8:   three goals for Mathematics Education
  210.    wt: 8:   02 21 words for teachers
  211.    wt: 8:   three aims for mathematics students
  212.    wt: 8:   standards for course material
  213.    wt: 8:   Operational Viewpoint to Value
  214.    wt: 8:   mathematics instruction in general
  215.    wt: 8:   Different Kinds of Reasoning in maths
  216.    wt: 8:   three kinds of reason in mathematics
  217.    wt: 8:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  218.    wt: 8:   4 Learning Takes Time and Effort
  219.    wt: 8:   Ages 12 to 14 Skills with take home value
  220.    wt: 8:   Ages 12 to 14 Geometry
  221.    wt: 8:   Ages 12 to 14 Arithmetic
  222.    wt: 8:   Ages 8 to 9
  223.    wt: 8:   Ages 7 to 8
  224.    wt: 8:   Ages 6 to 7
  225.    wt: 8:   sign monoticity analysis example 2
  226.    wt: 8:   sign monoticity analysis example 1
  227.    wt: 8:   22 Square Root function graphically
  228.    wt: 8:   21 Graphs of functions given by Horizontal Line Method
  229.    wt: 8:   16 Increasing or decreasing on intervals
  230.    wt: 8:   15 Sign analysis of functions
  231.    wt: 8:   12 Function Domain Recognition Exercises
  232.    wt: 8:   10 quadratic exercises
  233.    wt: 8:   8 quadratics backward use of various formulas
  234.    wt: 8:   7 quadratic formulla derivation
  235.    wt: 8:   6 quadratics numerical approach
  236.    wt: 8:   5 quadratics completing the square
  237.    wt: 8:   2 quadratics graphing in general
  238.    wt: 8:   1 quadratics graphing exercises
  239.    wt: 8:   6 Formulas for Even and Odd Roots with Logarithms
  240.    wt: 8:   5 Natural Logarithm Calculator Exercises
  241.    wt: 8:   1 Calculator Starter Exercises
  242.    wt: 8:   8 Notes for instructors or tutors
  243.    wt: 8:   10 arctan left inverse of tangent Definition
  244.    wt: 8:   4 possible motivation for term arccos
  245.    wt: 8:   3 Left Inverse of cosine arccos definition
  246.    wt: 8:   2 Graphing y=Af(x) Vertical Scaling
  247.    wt: 8:   1 graphing y=f(x a)
  248.    wt: 8:   Parallel Lines and Parallel Transversals
  249.    wt: 8:   Parallel Lines and Interior Angles
  250.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  251.    wt: 8:   C Straight Lines Slope from Coordinates
  252.    wt: 8:   B Straight Line Slope Scaling Properties More
  253.    wt: 8:   A Straight Line Slope Scaling Properties
  254.    wt: 8:   8 Straight Lines Equation for vertical
  255.    wt: 8:   7 Tangent Function is odd on this domain
  256.    wt: 8:   6 Tangent Function Inclination Angle Take 2
  257.    wt: 8:   5 Tangent Function Graph
  258.    wt: 8:   1 Straight Lines Slope Concept
  259.    wt: 8:   32 seven rows of pascals triangle
  260.    wt: 8:   30 unit circle calculation of six trigonometric functions
  261.    wt: 8:   24 tangent Angle Difference Formula
  262.    wt: 8:   21 sine and cosine Half Angle Formulas
  263.    wt: 8:   20 sine and cosine Double Angle Formulas
  264.    wt: 8:   13 Graph of tangent function many periods
  265.    wt: 8:   9 Graphs of sine and cosine over one period
  266.    wt: 8:   Unit Circle Development of Trigonometry
  267.    wt: 8:   21 Logarithms Powers and Exponentials
  268.    wt: 8:   16 References and Originality Question
  269.    wt: 8:   12 cis formulas for sine cosines and tangent
  270.    wt: 8:   11 sine and cosine double triple angle formulas
  271.    wt: 8:   9 The complex number valued trig function cis
  272.    wt: 8:   8 Unit Circle Development of Trigonometry
  273.    wt: 8:   6 Field Properties of Complex Number
  274.    wt: 8:   5 An Easy Proof of the Distributive Law
  275.    wt: 8:   2 Complex Numbers made easier we hope
  276.    wt: 8:   1 Rectangular Polar Coordinates Review
  277.    wt: 8:   8 Triangles Cascade Problem Solving
  278.    wt: 8:   7 Trignometric Ratios Unit Circle
  279.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  280.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  281.    wt: 8:   1 Angle Measurement with Degrees
  282.    wt: 8:   9 Similarity of Triangles Usual Criteria
  283.    wt: 8:   8 Similarity of Triangles and Polygons
  284.    wt: 8:   4 Similarity Definition with Coordinate
  285.    wt: 8:   3 Similarity by Design with coordinates
  286.    wt: 8:   PS D Addition with Cartesian Coordinates
  287.    wt: 8:   PS C Similarity Use Recognize it in Trigonometry
  288.    wt: 8:   17 Right Bisectors of Triangle Sides
  289.    wt: 8:   16 Angles Subtended By Chords and Diameters
  290.    wt: 8:   15 Triangle Angle Sum is 180 degrees
  291.    wt: 8:   8 Isoceles Triangles
  292.    wt: 8:   7 Angle Side Angle
  293.    wt: 8:   5 Side Angle Side
  294.    wt: 8:   2 Correspondence between Triangles
  295.    wt: 8:   A Signed Number Arithmetic Review
  296.    wt: 8:   12 Real Numbers Line Signed Coordinates
  297.    wt: 8:   9 Division with Digits after Decimal Point
  298.    wt: 8:   7 Arithmetic with Infinite Decimal Expansions
  299.    wt: 8:   6 Infinite Decimals Ending in 9 repeating
  300.    wt: 8:   5 Fractions with Infinite Decimal Expansions
  301.    wt: 8:   2 Counting Digits in Decimal Multiplication
  302.    wt: 8:   1 Fractions with Finite Decimal Expansions
  303.    wt: 8:   16 Real Numbers Comparison
  304.    wt: 8:   15 Real Number Division
  305.    wt: 8:   12 Real Number Additive Inverses or Negatives
  306.    wt: 8:   11 Real Number Addition
  307.    wt: 8:   9 Coordinates for Regions in Space
  308.    wt: 8:   7 Real Numbers as Line Cordinates
  309.    wt: 8:   6 Unsigned Real Numbers
  310.    wt: 8:   Simple Exercises
  311.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
  312.    wt: 8:   11 Volume of Sphere
  313.    wt: 8:   4 A Brief Story of numbers and algebra
  314.    wt: 8:   4 Square Roots with primes more
  315.    wt: 8:   3 Properties of Square Roots with example
  316.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  317.    wt: 8:   8 GCD from Euclidean Algorithm
  318.    wt: 8:   1 Least Common Multiples LCM Introduction
  319.    wt: 8:   7 Converting or Changing Units
  320.    wt: 8:   6 Simplification of Fractions with Units
  321.    wt: 8:   21 Reciprocals for Fractions and Wholes
  322.    wt: 8:   20 Dividing Fractions the Why
  323.    wt: 8:   19 Dividing Fractions How TO
  324.    wt: 8:   18 Efficient Ways to Multiply
  325.    wt: 8:   16 Addition Subtraction Comparision Compared
  326.    wt: 8:   12 Fraction Comparison
  327.    wt: 8:   11 Simplification an Algebraic View
  328.    wt: 8:   8 Numerals Fractionals Quantals Take II
  329.    wt: 8:   7 Numerals Fractionals Quantals
  330.    wt: 8:   6 Multiplication of Mixed Numbers
  331.    wt: 8:   6 Multiplication Algebraically Take II
  332.    wt: 8:   5 Equivalent Fractions
  333.    wt: 8:   2 Unit Fraction Multiplication
  334.    wt: 8:   1 What is a fraction Take II
  335.    wt: 8:   1 What is a fraction
  336.    wt: 8:   D Remainders Modulo 11 Pair Rule
  337.    wt: 8:   C Divisibility by 11 Integer Recognition Method
  338.    wt: 8:   12 Adding Integers More Examples
  339.    wt: 8:   D2 Limits of Monotone Sequences
  340.    wt: 8:   C Triangle Inequalities
  341.    wt: 8:   B1 Pigeon Hole Principles from combinatorics
  342.    wt: 8:   Chapter 24 Logarithms Powers and Exponentials
  343.    wt: 8:   Chapter 23 Links To Trigonometry
  344.    wt: 8:   Chapter 10 Slopes and Units
  345.    wt: 8:   Chapter 4. More Slope Sign Analysis
  346.    wt: 8:   Chapter 3. Slope Sign Analysis
  347.    wt: 8:   Fall 1983 Calculus Appetizer
  348.    wt: 8:   Appendix B. How To Learn
  349.    wt: 8:   Chapter 26 What is in chapters 27 to 31
  350.    wt: 8:   Chapter 23. Notation For Sums
  351.    wt: 8:   Chapter 13. Second Reading Guide
  352.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  353.    wt: 8:   Foreword
  354.    wt: 8:   Chapter 4 Complex Numbers and Why Slopes
  355.    wt: 8:   Chapter 3 What is in chapters 4 to 8
  356.    wt: 8:   O On Learning Mathematics and Science
  357.    wt: 8:   N Mathematics Prepare for College Studies
  358.    wt: 8:   M Words to extend arithmetic
  359.    wt: 8:   J. More on written work and showing skill
  360.    wt: 8:   I. Logic and language skills
  361.    wt: 8:   H Jigsaw puzzles and problem solving
  362.    wt: 8:   G. Written work formats for developing and showing skill
  363.    wt: 8:   F. The student teacher tutor feedback loop
  364.    wt: 8:   D. Check work a must with a caution
  365.    wt: 8:   C. Domino effect of being careful
  366.    wt: 8:   Chapter 2 Why Sets
  367.    wt: 8:   Chapter 1 Arithmetic
  368.    wt: 8:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  369.    wt: 8:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  370.    wt: 8:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  371.    wt: 7:   why bother
  372.    wt: 7:   activities for students
  373.    wt: 7:   site origins
  374.    wt: 7:   About site lesson plans
  375.    wt: 7:   learning takes time
  376.    wt: 7:   five decades make a difference
  377.    wt: 7:   how letters appear
  378.    wt: 7:   Secondary Three Mathematics
  379.    wt: 7:   talk the algebra talk
  380.    wt: 7:   three difficulties
  381.    wt: 7:   teaching tips
  382.    wt: 7:   What to Tell Students
  383.    wt: 7:   the trouble with algebra
  384.    wt: 7:   Theory of Knowledge
  385.    wt: 7:   cultivating intelligence
  386.    wt: 7:   Prequel In For A Penny In For A Pound
  387.    wt: 7:   education an empirical art
  388.    wt: 7:   liens
  389.    wt: 7:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  390.    wt: 7:   D Energy Power04
  391.    wt: 7:   C Energy Power03
  392.    wt: 7:   C Electromotive force conventional current02
  393.    wt: 7:   B Electromotive force conventional current01
  394.    wt: 7:   24 Standards For Skill Develoment Take II
  395.    wt: 7:   24 Standards For Skill Develoment
  396.    wt: 7:   14 Multiplication and Times Tables
  397.    wt: 7:   13 Addition and Addition Tables
  398.    wt: 7:   3 Preparing for Science Studies
  399.    wt: 7:   11 Growth and Decay in Biology
  400.    wt: 7:   9 Formulas for Real Exponents with Logarithms
  401.    wt: 7:   8 Formulas for Fractional Exponents with Logarithms
  402.    wt: 7:   7 Formulas for Roots with Logarithms Derivation
  403.    wt: 7:   2 Square Root Simplification a prequel
  404.    wt: 7:   6 Polynomial Operations and Equivalent Computation Rules
  405.    wt: 7:   4 Polynomials Long division linear divisor
  406.    wt: 7:   3 Polynomials Multiplication Addition
  407.    wt: 7:   16 cotangent function Definition Graph and Inverse
  408.    wt: 7:   15 cosecant function Definition Graph and Inverse
  409.    wt: 7:   12 motivation for term arctan
  410.    wt: 7:   11 arctan left inverse of tangent Graph
  411.    wt: 7:   9 motivation for name arcsin
  412.    wt: 7:   8 arcsin left inverse of sine Graph
  413.    wt: 7:   7 arcsin left inverse of sine Definition
  414.    wt: 7:   6 Graph of arccos function
  415.    wt: 7:   5 Swapping Coordinates is a reflection
  416.    wt: 7:   2 cosine function more properties
  417.    wt: 7:   1 cosine function properties
  418.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  419.    wt: 7:   29 secant cosecant and cotangent for acute angles
  420.    wt: 7:   27 Logarithmic use of products of sines and cosines
  421.    wt: 7:   26 Formulas for products of sines and cosines
  422.    wt: 7:   25 tangent double angle formula Slope connection
  423.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  424.    wt: 7:   17E Trig Formulas for dot and cross Products
  425.    wt: 7:   17D cis formulas for sine cosines and tangent
  426.    wt: 7:   17C sine and cosine double triple angle formulas
  427.    wt: 7:   16 Right Triangle Complementary Angle Relations
  428.    wt: 7:   15 sine cosine Complementary Angle Relations
  429.    wt: 7:   12 Graph of tangent function for one period
  430.    wt: 7:   11 tangent function undefined when terminal side vertical
  431.    wt: 7:   8 period of tangent function
  432.    wt: 7:   2 Quadrant I reference Angles
  433.    wt: 7:   1 Unit Points Reflections Rotations
  434.    wt: 7:   19 N th Roots of Unity
  435.    wt: 7:   18 Sixth Roots of Unity
  436.    wt: 7:   17 Cube Roots of unity
  437.    wt: 7:   15 Pythagorean Theorem Converse
  438.    wt: 7:   12 Triangles Similarity More Problems
  439.    wt: 7:   11 Triangle Similarity Missing Side Problem
  440.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  441.    wt: 7:   6 Geometric Diagrams in Class
  442.    wt: 7:   5 Similarity of Circles Squares and Rectangles
  443.    wt: 7:   2 Similarity By Design
  444.    wt: 7:   1 Early Concept of Like or Similar Shapes
  445.    wt: 7:   PS H Distributive Law For Complex Numbers
  446.    wt: 7:   PS G Rotation Distributes over Addition
  447.    wt: 7:   PS F Scalar Multiplication Distributes over Addition
  448.    wt: 7:   PS E Multiplication with Polar Coordinates
  449.    wt: 7:   PS B Parallelogram Construction Methods
  450.    wt: 7:   PS A Kite Construction Methods
  451.    wt: 7:   21 Parallelograms
  452.    wt: 7:   19 Right Triangle Similarity
  453.    wt: 7:   18 Triangle Similarity Take 1
  454.    wt: 7:   12 Side Angle Side Failure
  455.    wt: 7:   11 Triangle Construction Fails
  456.    wt: 7:   3 Adding Words To Arithmetic
  457.    wt: 7:   5 Square Roots with primes more still
  458.    wt: 7:   2 Square Roots with Prime
  459.    wt: 7:   22 Complex Compound Fractions
  460.    wt: 7:   21 Working With Signs
  461.    wt: 7:   Quick history of numbers and algebra
  462.    wt: 7:   Formula Evaluation how to show work
  463.    wt: 7:   Expression Evaluation how to show work
  464.    wt: 7:   The 20 Times Table
  465.    wt: 7:   Practical Methods Ends and Values for Arithmetic
  466.    wt: 7:   About folder contents
  467.    wt: 7:   G.6 Bounded Derivatives implies Lipshitz Continuity
  468.    wt: 7:   G.4 Lipschitz Continuity implies EquiContinuity
  469.    wt: 7:   G.3 Constant Difference Theorem Proof
  470.    wt: 7:   F.5b Extreme Value Theorem
  471.    wt: 7:   F.5a Equicontinuity Theorems
  472.    wt: 7:   F.4 Finite Covering Theorem
  473.    wt: 7:   F.3 Intermediate Value Theorem
  474.    wt: 7:   F.2 Closed Range Theorem
  475.    wt: 7:   F.1 What Functions are Continuous
  476.    wt: 7:   E2 Algebraic Properties of Limits
  477.    wt: 7:   E1 Error Control Inequalities
  478.    wt: 7:   PostScript For and Against Decimal Perspectives
  479.    wt: 7:   A1. Introduction
  480.    wt: 7:   Postscript Pythagorean Theorem yet another proof
  481.    wt: 7:   Chapter 13. Acceleration
  482.    wt: 7:   Chapter 7 Slopes and Velocity
  483.    wt: 7:   Chapter 6. Slopes and Vertical Shifts
  484.    wt: 7:   Chapter 2. Slopes and Ski Trails
  485.    wt: 7:   Chapter 1.Introduction
  486.    wt: 7:   Foreword
  487.    wt: 7:   Postscript More on Better Performance
  488.    wt: 7:   Postscript For Better Performance
  489.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  490.    wt: 7:   Chapter 29 Contrapositive and Vacuously True Implications
  491.    wt: 7:   Chapter 27 Shorthand Symbols as Pronouns
  492.    wt: 7:   Chapter 22. Geometric Sums and Sequences
  493.    wt: 7:   Chapter 19. Functions and Sets
  494.    wt: 7:   Chapter 12. Shorthand Usage Guide
  495.    wt: 7:   Chapter 11. Why Shorthand
  496.    wt: 7:   Chapter 9 Talking about Numbers or Quantities
  497.    wt: 7:   Chapter 8 Three Skills For Algebra
  498.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  499.    wt: 7:   Chapter 6 Change of Language
  500.    wt: 7:   Chapter 3 Algebra Difficulties
  501.    wt: 7:   Chapter 2 For and Against Mathematics
  502.    wt: 7:   Chapter 14 Deductive and Empirical Views of Mathematics
  503.    wt: 7:   Chapter 4 Implication Rules Forwards and Backwards
  504.    wt: 7:   S Adding words to algebra
  505.    wt: 7:   R Why Learn Mathematics Skills
  506.    wt: 7:   Q How Logic and Proofs extend Show Work Practices
  507.    wt: 7:   P Exact Arithmetic With Whole Numbers and Fractions
  508.    wt: 7:   N Improving Marks on Tests and Finals
  509.    wt: 7:   H more Routine to non routine problem solving
  510.    wt: 7:   B. Domino effect of errors
  511.    wt: 7:   Appendix A Calculus with Proofs for Keen or Gifted
  512.    wt: 7:   Helping the Blind in Logic and Mathematics
  513.    wt: 7:   Multiple Ways to Improve Mathematics Skill Development
  514.    wt: 7:   More Algebra and Slope based Calculus Preview
  515.    wt: 7:   Systematic Algebra Skill Development Missing Links
  516.    wt: 7:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  517.    wt: 7:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  518.    wt: 7:   Which Way To Go
  519.    wt: 6:   Maps Plans Drawings
  520.    wt: 6:   Lessening Algebra Difficulties
  521.    wt: 6:   formal or informal peer review
  522.    wt: 6:   problemes algebre et arithmetique
  523.    wt: 6:   Trois Notions qui menent a algebre
  524.    wt: 6:   deux definitions pour variable
  525.    wt: 6:   logique deux enigme
  526.    wt: 6:   4 Energy Power Heat09
  527.    wt: 6:   3 Energy Power Heat08
  528.    wt: 6:   2 Conductance Resistance Duality02
  529.    wt: 6:   F Wire Resistance Calculation04
  530.    wt: 6:   E Wire Resistance Calculation03
  531.    wt: 6:   B Wire Resistance Qualitative02
  532.    wt: 6:   A Wire Resistance Qualitative01
  533.    wt: 6:   3 Like resistors in parallel
  534.    wt: 6:   2 Unlike resistors in parallel01
  535.    wt: 6:   1 Like resistors in series
  536.    wt: 6:   H Series Circuit02
  537.    wt: 6:   G Series Circuit01
  538.    wt: 6:   F Unlike Resistors in Series
  539.    wt: 6:   Home Tutoring and Home Schooling
  540.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  541.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  542.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  543.    wt: 6:   23 Modularized Skill Development Modularized Rigor
  544.    wt: 6:   22 Student Centered Highschool Mathematics
  545.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  546.    wt: 6:   17 Math Booklets for children and young teenagers
  547.    wt: 6:   12 Goals and Objectives For Mathematics
  548.    wt: 6:   10 Ends values for work study instruction
  549.    wt: 6:   5 Patience Please for Yourself and Your Charges
  550.    wt: 6:   2 Reading and Writing Skills
  551.    wt: 6:   7 Links Lessons Elsewhere
  552.    wt: 6:   5 Polynomials Long division Nonlinear divisor
  553.    wt: 6:   2 Column Multiplication Method
  554.    wt: 6:   1 Polynomials Distributive Law
  555.    wt: 6:   Rewriting algebraic substitution as function substitutions
  556.    wt: 6:   28 Expressing products of sines cosines as sums
  557.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  558.    wt: 6:   18 sum of sinusoidal waves as a single wave
  559.    wt: 6:   17G Pythagorean Theorem Converse
  560.    wt: 6:   17F Law of cosines
  561.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  562.    wt: 6:   17A The complex number valued trig function cis
  563.    wt: 6:   7 Translations Rotations Reflections Dilatations
  564.    wt: 6:   About Folder Contents
  565.    wt: 6:   5 Talking about Numbers and Quantities
  566.    wt: 6:   About Folder Contents
  567.    wt: 6:   Exact Arithmetic Wholes and Fractions
  568.    wt: 6:   The 12 Times Table Visually
  569.    wt: 6:   G.2 Lipshitz Conditions Integration Calculus Reform
  570.    wt: 6:   G.1 First Fundamental Theorem of Calculus
  571.    wt: 6:   G.5 Motions With Bounded Velocities
  572.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  573.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  574.    wt: 6:   Chapter 19. Exponentials and Natural Logarithms
  575.    wt: 6:   Chapter 12. Units and Slopes
  576.    wt: 6:   Chapter 9 About First Courses in Calculus
  577.    wt: 6:   Chapter 8. Slope Interpretation
  578.    wt: 6:   Chapter 5. Slope Sign Tests
  579.    wt: 6:   Chapter 28 Occurrence Tables
  580.    wt: 6:   Chapter 25. Mathematical Induction Examples
  581.    wt: 6:   Chapter 21. Third Reading Guide
  582.    wt: 6:   Chapter 18. Rules for Algebra
  583.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  584.    wt: 6:   Chapter 16. Painless Theorem Proving
  585.    wt: 6:   Chapter 15. Solving Linear Equations
  586.    wt: 6:   Postscript What is a Variable
  587.    wt: 6:   Solutions For Arithmetic Exercises
  588.    wt: 6:   Postscript B Mathematics Education References
  589.    wt: 6:   Chapter 10 Transition
  590.    wt: 6:   Chapter 6 Rule Based Reason in Mathematics
  591.    wt: 6:   Foreword
  592.    wt: 6:   Chapter 24 Direct and Indirect Reason
  593.    wt: 6:   Chapter 20 Shorthand Symbols as Pronouns
  594.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  595.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  596.    wt: 6:   L Skills with take home value
  597.    wt: 6:   Mathematics Education References
  598.    wt: 6:   Mathematics Education References
  599.    wt: 6:   Ends Values Methods For Skill Development Framework Prequel
  600.    wt: 6:   Implementation Notes
  601.    wt: 5:   problemes responses
  602.    wt: 5:   2 Energy Power Heat07
  603.    wt: 5:   1 Energy Power Heat06
  604.    wt: 5:   E Energy Power05
  605.    wt: 5:   B Energy Power02
  606.    wt: 5:   A Energy Power01
  607.    wt: 5:   1 Conductance Resistance Duality01
  608.    wt: 5:   D Wire Resistance Calculation02
  609.    wt: 5:   C Wire Resistance Calculation01
  610.    wt: 5:   E Kirchoffs Second Law
  611.    wt: 5:   D Kirchoff First Law
  612.    wt: 5:   A Circuit Elements
  613.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  614.    wt: 5:   25 Mathematics Education Leaving A Good Impression
  615.    wt: 5:   19 Extending the Oral Dimension of Mathematics
  616.    wt: 5:   18 Primary School Mathematics
  617.    wt: 5:   16 Secondary Mathematics Tips
  618.    wt: 5:   11 Help and Defend Your Child or Teens Education
  619.    wt: 5:   9 Streaming by Student Cooperation
  620.    wt: 5:   8 The Effect of Negative Remarks
  621.    wt: 5:   7 Student Motivation
  622.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  623.    wt: 5:   1 Speaking Skills
  624.    wt: 5:   17 tangent function angle sum formulas
  625.    wt: 5:   musings do not puiblish real numbers
  626.    wt: 5:   6 Three Notions of What is a Variable
  627.    wt: 5:   2 What is a Variable
  628.    wt: 5:   1 Three Skills For Algebra
  629.    wt: 5:   Postscript One Sided and Intermediate Value Theorems
  630.    wt: 5:   Chapter 22 Complex Numbers
  631.    wt: 5:   Chapter 21 Arrow Addition
  632.    wt: 5:   Chapter 18. Slopes Areas Integration
  633.    wt: 5:   Chapter 17. Area Approximation
  634.    wt: 5:   Chapter 16. Velocity Approximation
  635.    wt: 5:   Chapter 15. Slope Approximation
  636.    wt: 5:   Chapter 15. Algebraic Evaluation of Limits
  637.    wt: 5:   Chapter 11. Graphing Slope versus Position
  638.    wt: 5:   Postscript Unifying Theme A Fourth Skill For Algebra
  639.    wt: 5:   Annotated Links to Material Elsehwere
  640.    wt: 5:   Postscript A Three Remarks
  641.    wt: 5:   Chapter 9 The Two Ends
  642.    wt: 5:   Chapter 8 Modern Instruction
  643.    wt: 5:   Chapter 7 Two Treatments of Geometry
  644.    wt: 5:   Chapter 5 Four References
  645.    wt: 5:   Chapter 1 Introduction
  646.    wt: 5:   Postscript B More on Story Telling and Reason
  647.    wt: 5:   Chapter 23 Truth Tables
  648.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  649.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  650.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  651.    wt: 5:   Chapter 10 Responsibility
  652.    wt: 5:   Foreword
  653.    wt: 5:   1 Links to Online Resources Elsewhere Take 1
  654.    wt: 4:   15 Counting For Parents
  655.    wt: 4:   Chapter 12 Four Phases
  656.    wt: 4:   Chapter 11 Elementary Instruction
  657.    wt: 4:   Postscript C Consistency as a Tool for Reason
  658.    wt: 4:   Postscript A Story Telling
  659.    wt: 4:   Chapter 22 Contrapositive and Vacuously True Implications
  660.    wt: 4:   Chapter 18 Sense and Knowledge
  661.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  662.    wt: 4:   Chapter 8 Change of Language
  663.    wt: 4:   Chapter 7 Longer Chains of Reason
  664.    wt: 4:   Chapter 6 Chains of Reason
  665.    wt: 4:   Chapter 5 Deception
  666.    wt: 4:   Chapter 2 Skill Development
  667.    wt: 4:   Chapter 1 Introduction
  668.    wt: 4:   Three Remarks
  669.    wt: 3:   arithmetic videos Real Player Format
  670.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  671.    wt: 3:   Chapter 21 Occurrence Tables
  672.    wt: 3:   Chapter 15 Objective Processes
  673.    wt: 3:   Chapter 11 Accidental Patterns
  674.    wt: 3:   Mathematics Teacher Certification Best Practices
  675.    wt: 3:   Talking pdf files for online lessons a webvideo alternative
  676.    wt: 3:   The Math Forum and Site Content
  677.    wt: 3:   Site Reviews
  678.    wt: 2:   Road Safety Questions
  679.    wt: 17:   3 Gaussian Elimination 3 unknowns first example
  680.    wt: 17:   3 GE III Equation Addition and Multiplication
  681.    wt: 17:   3 Harder Cases Convert to Compare and Subtract
  682.    wt: 16:   4 GE III Animated Examples
  683.    wt: 16:   4 Solving a triangular system exercise
  684.    wt: 16:   3 Solving triangular system example
  685.    wt: 16:   10 video Prime Factorization upto 23 squared
  686.    wt: 16:   4 Two and Three Digit Multipliers
  687.    wt: 16:   4 Subtraction with Conversions Borrows and Letter J
  688.    wt: 16:   4. How to add with decimals B with conversions
  689.    wt: 16:   3. How to add with decimals A sans conversions
  690.    wt: 15:   4 Circle Sector Area proportional to Central Angle
  691.    wt: 15:   4 Polar Coordinates to and from
  692.    wt: 15:   5 Gaussian Elimination for 3 unknowns 2nd example
  693.    wt: 15:   4 Two Examples
  694.    wt: 15:   3 Two Examples
  695.    wt: 15:   14 video Factors of 24 Take II
  696.    wt: 15:   13 video Factors of 24 using prime
  697.    wt: 15:   4 video Prime Factorization Introduction
  698.    wt: 15:   3 video Primes and Composites from 9 times table
  699.    wt: 15:   10 Division by Five Long and Short Ways
  700.    wt: 15:   4 Division with 2 Digit Divsors
  701.    wt: 15:   3 Division Single Digit Divisor Example
  702.    wt: 15:   3 More One Digit Multipliers
  703.    wt: 15:   8 What skills and work habits to require
  704.    wt: 15:   6. Counting and adding units and mixed units
  705.    wt: 14:   chapitre 04 04 Parlons de la logique
  706.    wt: 14:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  707.    wt: 14:   chapitre 04 00 Les regles d implication
  708.    wt: 14:   9 Summary Degrees to Radians and back
  709.    wt: 14:   3 Circle Arclengh Proportional to Central Angle
  710.    wt: 14:   1 Degrees and Radians Introduction
  711.    wt: 14:   2 GE II Comparison
  712.    wt: 14:   1 GE Substitution four examples
  713.    wt: 14:   2 Essentially one exercises three with solution
  714.    wt: 14:   1 Essentially One Unknown
  715.    wt: 14:   4 Four Examples Fractional Coefficients
  716.    wt: 14:   3 Four Examples
  717.    wt: 14:   10 One Example
  718.    wt: 14:   A Decimals Modular and Remainder Arithmetic
  719.    wt: 14:   24 Divisibility Tests for 2 3 5 9 10
  720.    wt: 14:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  721.    wt: 14:   10 Remainder Arithmetic Long Division by 5 Quickly
  722.    wt: 14:   20 Uniqueness of Prime Factorization
  723.    wt: 14:   15 video Factors of 20 using Prime Factorization
  724.    wt: 14:   9 video Prime Factorization upto 19 squared
  725.    wt: 14:   8 video Prime Factorization upto 19
  726.    wt: 14:   7 Calculator Usage Notes and Cautions
  727.    wt: 14:   6 Sieve of Eratosthenes and Square Rule
  728.    wt: 14:   5 Prime Factorization and a Square Rule
  729.    wt: 14:   1 Why 3 times 5 gives 15
  730.    wt: 14:   1 Comparison and Subtraction Easy Direct Cases
  731.    wt: 14:   5. How to add decimals C. Examples
  732.    wt: 14:   3 Second derivative test
  733.    wt: 14:   4 Numerical properties
  734.    wt: 13:   chapitre 07 00 Des chaines plus longues de la raison
  735.    wt: 13:   chapitre 06 00 Chaines de la raison
  736.    wt: 13:   chapitre 05 00 Deception
  737.    wt: 13:   chapitre 04 10 Etapes pour une meilleur raison
  738.    wt: 13:   chapitre 04 09 Regles accidentelles
  739.    wt: 13:   chapitre 04 08 Limitations et benefices
  740.    wt: 13:   chapitre 04 07 RepetablesEtReproductibles
  741.    wt: 13:   chapitre 04 06 engagements
  742.    wt: 13:   chapitre 04 05 Implication versus suggestion
  743.    wt: 13:   chapitre 04 02 Deuxieme enigme
  744.    wt: 13:   chapitre 04 01 Premiere enigme
  745.    wt: 13:   chapitre 02 00 La Communication des idees
  746.    wt: 13:   chapitre 01 00 Introduction
  747.    wt: 13:   13 From one to one to many to one
  748.    wt: 13:   4 Function notation in and beyond mathematics
  749.    wt: 13:   3 Navigation with Arrows or Vectors
  750.    wt: 13:   Vector and Complex Number Applet
  751.    wt: 13:   34 sines and cosines of 2A 3A 4A 5A
  752.    wt: 13:   10 Midpoint of [a b] and [b a]
  753.    wt: 13:   7 Exercises to test skill and concept mastery
  754.    wt: 13:   4 Equations for lines three forms
  755.    wt: 13:   3 Slope product for perpendicular lines
  756.    wt: 13:   What is and is not here
  757.    wt: 13:   3 Rectangular Coordinates Review
  758.    wt: 13:   9 Three Examples
  759.    wt: 13:   8 One Example
  760.    wt: 13:   7 Two Examples
  761.    wt: 13:   6 Three Examples
  762.    wt: 13:   5 Three Examples
  763.    wt: 13:   2 Three Examples
  764.    wt: 13:   10 Euclid Algorithm with 129 125 and with 45 14
  765.    wt: 13:   9 GCD of 360 110 via Primes and Euclid Algorithm
  766.    wt: 13:   27 Divisibility by 2 3 6 5 9 10 Example
  767.    wt: 13:   25 Divisibility Tests for 2 3 5 9 10 Example
  768.    wt: 13:   23 Remainder Arithmetic Modulo 2
  769.    wt: 13:   22 Remainder Arithmetic Modulo 3 more
  770.    wt: 13:   21 Remainder Arithmetic Modulo 3
  771.    wt: 13:   19 Remainder Arithmetic Rule of 9 for checking sums III
  772.    wt: 13:   16 Remainder Arithmetic Modulo 9 Example 2
  773.    wt: 13:   14 Remainder Arithmetic Modulo 9 Example
  774.    wt: 13:   13 Remainder Arithmetic Modulo 5 Example
  775.    wt: 13:   12 Remainder Arithmetic Modulo 10 Example
  776.    wt: 13:   9 Remainder Arithmetic Divisibility by 5
  777.    wt: 13:   6 Remainder Arithmetic Modulo 5 Propertie
  778.    wt: 13:   4 Remainder Arithmetic Modulo 10 in general
  779.    wt: 13:   3 Remainder Arithmetic Modulos 10 more still
  780.    wt: 13:   18 video Count Factors given Prime Factorization
  781.    wt: 13:   17 Identify and Count Factors using Primes
  782.    wt: 13:   16 video Factors of 980 using prime
  783.    wt: 13:   2 Prime and Composites less than 16
  784.    wt: 13:   1 video how Products are bigger than factor
  785.    wt: 13:   9 Why Long Division Works Take II
  786.    wt: 13:   8 Correcting the Mistake
  787.    wt: 13:   7 Long Divison Mistake Catching
  788.    wt: 13:   6 Why Decimal Long Division Methods Works Take I
  789.    wt: 13:   5 Long Division Include Zeroes or not
  790.    wt: 13:   2 Division with Single Digit Divisors
  791.    wt: 13:   1 Divsion Physical Examples
  792.    wt: 13:   D Decimal Multiplication Methods Derived
  793.    wt: 13:   C Counting Areas with Powers of Ten
  794.    wt: 13:   B Powers of Ten
  795.    wt: 13:   A Elementary Basis for Multiplication Methods
  796.    wt: 13:   6 Multiplication Commutes Order Not Important
  797.    wt: 13:   5 Decimal Fraction Multiplication
  798.    wt: 13:   2 One Digit Multipliers
  799.    wt: 13:   9 22 Minute Subtraction Review Video
  800.    wt: 13:   8 Subtraction with Units of Measure
  801.    wt: 13:   7 Subtraction for Decimal Fractions with Exercises
  802.    wt: 13:   6 Subtraction with Conversion Example with Exercises
  803.    wt: 13:   5 A Tip for Efficent Subtraction
  804.    wt: 13:   2 Subtraction Easy Case Examples
  805.    wt: 13:   7 Adding decimal fractions using decimal point
  806.    wt: 13:   2 Decimal Counting Practices
  807.    wt: 13:   1. Explaining Addition Table
  808.    wt: 13:   4 Mixing and Changing Units of Time
  809.    wt: 13:   3 Units and Lengths of Time
  810.    wt: 13:   Example 4 with x function of y
  811.    wt: 13:   4 Second derivative test exercise example
  812.    wt: 13:   2 Second derivative test prequel
  813.    wt: 13:   38 Formulas and derivatives for powers and roots
  814.    wt: 13:   34 Derivative of exponential function
  815.    wt: 13:   33 Chain Rule Real Player video examples
  816.    wt: 13:   15 sine and cosine derivatives 3rd step
  817.    wt: 13:   14 sine and cosine derivatives 2nd step
  818.    wt: 13:   13 sine and cosine derivatives 1st step
  819.    wt: 13:   13 Limits with Parameters and Derivatives Take II
  820.    wt: 13:   12 Limits with Parameters and Derivatives Take I
  821.    wt: 13:   9 Limits Continuity and Composition
  822.    wt: 13:   5 Jumps and absence of unlimited error control
  823.    wt: 12:   Postscript 2007 01 10
  824.    wt: 12:   chapitre 12 00 les iles et division
  825.    wt: 12:   chapitre 07 01 principle D induction mathematique
  826.    wt: 12:   chapitre 03 A Propos Des Prochains Chapitre
  827.    wt: 12:   24 Monotoncity Injectivity and Inverse Functions
  828.    wt: 12:   6 Radian Measure to Degrees
  829.    wt: 12:   5 Degrees to Radian Measure
  830.    wt: 12:   13 Velocity Vectors in Physics
  831.    wt: 12:   5 Head To Tail Arrow Addition
  832.    wt: 12:   4 Resultant of a Sum of Movements
  833.    wt: 12:   Construction Methods and Criteria for Isometric and Similar Triangles
  834.    wt: 12:   35 sines and cosines of 2A 3A 4A 5A
  835.    wt: 12:   33 sines and cosines of 2A 3A 4A 5A
  836.    wt: 12:   1 Numerical view of lines and their equations
  837.    wt: 12:   13 Pythagorean spatial distance formulas
  838.    wt: 12:   10 Pythagorean plane distance formula
  839.    wt: 12:   6 Polar Multiplication and Rotation
  840.    wt: 12:   5 Cartesian Addition and Translation
  841.    wt: 12:   3 Lengths and Areas on Maps and Plans
  842.    wt: 12:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  843.    wt: 12:   14 Vector Head to Tail Sums and Resultants
  844.    wt: 12:   4 Rates Ratios and Proporitionality
  845.    wt: 12:   4 Subtraction and Division Axioms
  846.    wt: 12:   3 More and Less Than with Unlike Signs
  847.    wt: 12:   2 More and Less Than for Counts and Measures
  848.    wt: 12:   3 Geometric Formulas and Function Notation
  849.    wt: 12:   6 Algebraic Solution Example
  850.    wt: 12:   5 Algebraic Solutions Introduction
  851.    wt: 12:   2 Three Examples
  852.    wt: 12:   1 Proper Equal Sign Usage
  853.    wt: 12:   Skill Development Notes
  854.    wt: 12:   3 Counting with Tables and Trees II
  855.    wt: 12:   C Equality for Fractions and Two Term Ratios and Fractions
  856.    wt: 12:   18 Remainder Arithmetic Rule of 9 for checking sums II
  857.    wt: 12:   17 Remainder Arithmetic Rule of 9 for checking sums I
  858.    wt: 12:   15 Remainder Arithmetic Modulo 9 Example
  859.    wt: 12:   11 Remainder Arithmetic Long Division by 5 Quickly more
  860.    wt: 12:   8 Remainder Arithmetic Morulo 5 Examples II
  861.    wt: 12:   7 Remainder Arithmetic Modulo 5 Examples I
  862.    wt: 12:   2 Remainder Arithmetic Modulo 10 more
  863.    wt: 12:   1 Remainder Arithmetic Modulo 10
  864.    wt: 12:   19 video Prime Factorization Unique
  865.    wt: 12:   12 LCD GCD and LCM using Primes
  866.    wt: 12:   Long Division Backwards more
  867.    wt: 12:   Long Division Backward
  868.    wt: 12:   Long Division forwards and backwards Example 3
  869.    wt: 12:   Long Division forwards and backwards Example 2
  870.    wt: 12:   12 Why Long Division Works Take III
  871.    wt: 12:   11 Another Single Digit Divisor Example
  872.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  873.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  874.    wt: 12:   Appendix 2 Three Decimal Subtraction Methods
  875.    wt: 12:   Appendix 1 Decimals Comparison Method Take II
  876.    wt: 12:   Subtraction with J Conversions Example
  877.    wt: 12:   Subtraction Another Video Lesson
  878.    wt: 12:   Appendix 1 Counting Revisited 15 minute video
  879.    wt: 12:   4 Groups of 3 Place Value in Decimal Fractions
  880.    wt: 12:   3 More on Groups of 3 Multi Digit Place Value
  881.    wt: 12:   015 School and work day counting tables
  882.    wt: 12:   014 Counting Days with Calendars
  883.    wt: 12:   013 Travel Time Tables
  884.    wt: 12:   010 Repeated Addition of Time Intervals
  885.    wt: 12:   9 Comparison and Subtraction of Time Intervals
  886.    wt: 12:   8 Addition of Time Intervals via subtotaling
  887.    wt: 12:   2 Time and Date Matters in School
  888.    wt: 12:   1 Intro of Kids To Time Date Skills
  889.    wt: 12:   Area Between Crossing Curves Lesson Take 1
  890.    wt: 12:   Example 3
  891.    wt: 12:   Example 1
  892.    wt: 12:   Summary
  893.    wt: 12:   4 Definite Integrals Evaluation Exercises
  894.    wt: 12:   3 Two Chain Rule Method Exercises
  895.    wt: 12:   2 Indefinite Integrals Exercises
  896.    wt: 12:   1 Two cubic sketching exercises with 1st derivative
  897.    wt: 12:   36 Cube root derivative animated
  898.    wt: 12:   31 Derivatives of inverse functions
  899.    wt: 12:   30Chain Rule A Proof
  900.    wt: 12:   23 Chain Rule in general
  901.    wt: 12:   17 Derivatives of quotients of sine and cosine
  902.    wt: 12:   12 Quotient rule examples
  903.    wt: 12:   3 Motivation for Limit Definition Take 2
  904.    wt: 12:   1 Fall 1983 Why Slopes Appetizer
  905.    wt: 12:   10 Three one sided limits with infinite values
  906.    wt: 12:   8 Four Animated Examples
  907.    wt: 12:   7 Evaluation by immediate or delayed substitution
  908.    wt: 12:   6 Continuity at a point
  909.    wt: 12:   3 Decimal insights for limits continuity convergence
  910.    wt: 12:   2 Algebraic codification
  911.    wt: 12:   1 Numerical introduction
  912.    wt: 12:   4 Money Matters Saving Earning Buying Selling and Budgets
  913.    wt: 12:   3 Telling Tracking Time Temporal and More Place Sense
  914.    wt: 11:   Applied Maths Program14092009 POMME variant
  915.    wt: 11:   04 25 when to stop or suspend mathemat
  916.    wt: 11:   Ages 3 plus to 4 plus
  917.    wt: 11:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  918.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  919.    wt: 11:   3 Formula or function graphing exercise
  920.    wt: 11:   Quadratics in 10 steps
  921.    wt: 11:   8 Radian Measures of Common Angles
  922.    wt: 11:   7 Radian Measures in special Triangles
  923.    wt: 11:   2 Radian Measure Numerical Value of one degree
  924.    wt: 11:   A Global Time and Navigation
  925.    wt: 11:   14 Why Scalar Multiplication Distributes Physical Argument
  926.    wt: 11:   12 From Applied To Pure Mathematics
  927.    wt: 11:   10 Parallelogram Addition Method
  928.    wt: 11:   9 Head to Tail Coordinate View
  929.    wt: 11:   8 Parallel Vectors
  930.    wt: 11:   7 Coordinate Addition and Scalar Multiplication
  931.    wt: 11:   6 Vectors with Coordinates
  932.    wt: 11:   Straight Lines Instersection Solving Equations
  933.    wt: 11:   13 Straight Lines Finding Equations from 2 points
  934.    wt: 11:   6 sines and cosines for reference angle 30 degrees
  935.    wt: 11:   3 sines and cosines for reference angle 90 degrees
  936.    wt: 11:   13 Navigation Location from Angles to 2 Landmarks
  937.    wt: 11:   Four Simple Exercises
  938.    wt: 11:   9 Midpoint Coordinates Half Endpoint Sum
  939.    wt: 11:   8 Mid Point Formula
  940.    wt: 11:   6 Intersection of lines by solving linear systems
  941.    wt: 11:   5 Algebraic View of Slopes
  942.    wt: 11:   2 point slope equation for a line
  943.    wt: 11:   9 Pythagorean Theorem Chinese Square Proof
  944.    wt: 11:   8 Distance Between Points on a Line
  945.    wt: 11:   7 Complex Numbers Appetizer
  946.    wt: 11:   2 Cartesian Coordinates with signs
  947.    wt: 11:   1 Cartesian Coordinates sans signs
  948.    wt: 11:   5 Drawing to Scale Avoids Angle Distortions
  949.    wt: 11:   4 Angles on Maps Plans drawn to scale
  950.    wt: 11:   13 Arrows and Vectors in a Plane
  951.    wt: 11:   4 Commutative Law Groups Counting Form
  952.    wt: 11:   3 Multiplicative Counting Skills Principles
  953.    wt: 11:   3 Proportionality Examples
  954.    wt: 11:   4 Rectangle Area and Like Formulas Backwards
  955.    wt: 11:   6 Equations and Systems Equivalent or Implied
  956.    wt: 11:   3 Product Axioms Two Forms
  957.    wt: 11:   2 Addition and Multiplication Axioms
  958.    wt: 11:   4 Comparison of Negative Numbers
  959.    wt: 11:   4 Changing Letters
  960.    wt: 11:   1 Formulas Dependence and Function Notation
  961.    wt: 11:   4 Greater More Less Than Signs in General
  962.    wt: 11:   3 Comparison of Negative Numbers
  963.    wt: 11:   1 More and Less Than for Counts and Measures
  964.    wt: 11:   14 GCD of 650 110 via Primes LCM via Product Rule
  965.    wt: 11:   4 LCM of 8 and 10 via Prime
  966.    wt: 11:   LCM 60 45 Avoid List Method Use Prime
  967.    wt: 11:   4 Counting with Trees Product Rule Take I
  968.    wt: 11:   2 Counting with Tables and Trees I
  969.    wt: 11:   1 Counting and Counting Methods I
  970.    wt: 11:   4 signed coordinates for regions in space
  971.    wt: 11:   3 signed coordinates for maps and planes
  972.    wt: 11:   B Fractions and Two Term Ratios
  973.    wt: 11:   A Similarities between Fractions and Two Term Ratios
  974.    wt: 11:   14 Adding and Subtracting with Like Denominators
  975.    wt: 11:   4 Adding Movements wiht opposite directions
  976.    wt: 11:   3 Adding Movements with same direction
  977.    wt: 11:   26 Divisibility by 2 3 5 Example
  978.    wt: 11:   5 Remainder Arithmetic Modulo 5
  979.    wt: 11:   11 Efficient Square Rule Use
  980.    wt: 11:   Division with Counts and Length
  981.    wt: 11:   Long Division forwards and backwards Example 1
  982.    wt: 11:   Video Power Notation in Decimal Expansion
  983.    wt: 11:   10 Names for Big Numbers and Powers of Ten Expansion
  984.    wt: 11:   8 Review Lesson 1 2 4 and 6 All in One
  985.    wt: 11:   016 Numbering Occidental Calendar Days
  986.    wt: 11:   012 Division of Time Intervals by Time Intervals
  987.    wt: 11:   011 Division of Time Intervals By Numbers
  988.    wt: 11:   7 Addition of Time Intervals
  989.    wt: 11:   6 How long is a million seconds
  990.    wt: 11:   5 Conversion Arithmetic
  991.    wt: 11:   Volume of Solid by Cross Sections Lesson
  992.    wt: 11:   Example 1. Area Between x and x squared
  993.    wt: 11:   Area Between Crossing Curves Lesson Take 2
  994.    wt: 11:   Example 2
  995.    wt: 11:   A Related Material in Volume 3
  996.    wt: 11:   5 Area Under Curve Exercise
  997.    wt: 11:   1 Chain Rule in Reverse Integration Method
  998.    wt: 11:   28 Chain Rule Preparation for a Proof
  999.    wt: 11:   24 Chain Rule Animated Examples
  1000.    wt: 11:   22 Chain Rule for polynomials
  1001.    wt: 11:   18 Chain Rule Introduction
  1002.    wt: 11:   16 Derivatives of reciprocals of sine and cosine
  1003.    wt: 11:   10 Power rule for negative integers
  1004.    wt: 11:   6 Power rule from product rule
  1005.    wt: 11:   5 Product Rule
  1006.    wt: 11:   4 Sum Rule
  1007.    wt: 11:   2 Motivation for Limit Definition Take 1
  1008.    wt: 11:   11 Limits at infinity Three Examples
  1009.    wt: 11:   Chapter 4 Logic for Reading Writing and Geometry etc
  1010.    wt: 11:   Primary and Secondary Skills and Practices with Take Home Value
  1011.    wt: 11:   5 Interpreting and Drawing Maps and Plans.
  1012.    wt: 11:   2 Identifying Size and Position Place and Spatial Sense
  1013.    wt: 11:   1 From Number Recognition and Counting to Arithmetic A
  1014.    wt: 10:   E LAMP Introduction Modern Mathematics
  1015.    wt: 10:   C LAMP Introduction Culture in Mathematics Education
  1016.    wt: 10:   B LAMP Introduction Curriculum Development Standards
  1017.    wt: 10:   Skills Chapter 4 Logic
  1018.    wt: 10:   Skills Chapter 3 Algebra
  1019.    wt: 10:   Skills Chapter 0 Introduction
  1020.    wt: 10:   4 algebra
  1021.    wt: 10:   3 Euclidean Geometry Leanly
  1022.    wt: 10:   04 29 New Mathematics Curriculum
  1023.    wt: 10:   02 20 mathematics education references
  1024.    wt: 10:   Education in mathematics science and technology
  1025.    wt: 10:   How to be a better instructor
  1026.    wt: 10:   Leaner mathematics curriculum
  1027.    wt: 10:   words for mathematics instructor
  1028.    wt: 10:   Ages 4 plus to 5 plus
  1029.    wt: 10:   sign monoticity analysis example 4
  1030.    wt: 10:   sign monoticity analysis example 3
  1031.    wt: 10:   25 Absolute Value greatest integer and saw tooth functions
  1032.    wt: 10:   23 Inverse Functions
  1033.    wt: 10:   20 Interchanging coordinates a reflection
  1034.    wt: 10:   14 Surjections Injections Bijections
  1035.    wt: 10:   10 Interval Notation
  1036.    wt: 10:   8 Set view of relations and functions
  1037.    wt: 10:   6 Set Existence Formation and Notation
  1038.    wt: 10:   Introduction Reading Guide
  1039.    wt: 10:   3 quadratics factoring by inspection
  1040.    wt: 10:   3 Natural Logarithms and Exponentials Basic Properties
  1041.    wt: 10:   15 Dot and Cross Product
  1042.    wt: 10:   2 Signed Coordinates
  1043.    wt: 10:   1 Unsigned Coordinates
  1044.    wt: 10:   Triangle Angles Sum To 180 Degrees
  1045.    wt: 10:   SAS Method For Isometric Or Proportional Triangle Construction
  1046.    wt: 10:   Analytic View of Triangle Construction or Line Instersection More
  1047.    wt: 10:   Straight Lines ASA Intersection Study More
  1048.    wt: 10:   Straight Lines ASA Intersection Study
  1049.    wt: 10:   Straight Lines Intersection of
  1050.    wt: 10:   14 Straight Lines Equations General Case
  1051.    wt: 10:   12 Straight Lines Graphing mx plus b
  1052.    wt: 10:   10 Straight Lines through Origin Equations More
  1053.    wt: 10:   9 Straight Lines through Origin Equations
  1054.    wt: 10:   4 sines and cosines for reference angle 45 degrees
  1055.    wt: 10:   Right Triangle and Unit Circle Trigonometry
  1056.    wt: 10:   13 Trig Formulas for dot and cross Products
  1057.    wt: 10:   4 Multiplication Properties
  1058.    wt: 10:   3 Addition Properties
  1059.    wt: 10:   3 Trigonometric Ratios sine and cosine
  1060.    wt: 10:   Right Triangle and Unit Circle Trigonometry
  1061.    wt: 10:   12 Links Lessons elsewhere
  1062.    wt: 10:   11 A Partial Summary
  1063.    wt: 10:   12 Spatial Coordinates
  1064.    wt: 10:   11 Triangle Inequality
  1065.    wt: 10:   10 Dropping a perpendicular to line
  1066.    wt: 10:   4 Side Side Side
  1067.    wt: 10:   3 Isometry of Triangles Congruence
  1068.    wt: 10:   8 More Use of Maps Not Drawn to Scale
  1069.    wt: 10:   6 Figuring with Maps Not to Scale
  1070.    wt: 10:   25 Mid way Convergence to Axiomatic Approach
  1071.    wt: 10:   24 Signed Numbers Arithmmetic Properties
  1072.    wt: 10:   23 Distributive Law Two Derivations
  1073.    wt: 10:   B Decimal Comparison and Subtraction
  1074.    wt: 10:   2 Combing Counts Addition Skills and Principles
  1075.    wt: 10:   4 Fraction Operations Axiomatic Development
  1076.    wt: 10:   3 Inequalities Algebraically
  1077.    wt: 10:   1 Decimals Modular and Remainder Arithmetic
  1078.    wt: 10:   9 Circle Area and Perimeter Formula Backwards Forwards
  1079.    wt: 10:   6 Compound Interest Forward and Backwards
  1080.    wt: 10:   3 Linear Equation Literal Solution More
  1081.    wt: 10:   5 Equality in Algebra
  1082.    wt: 10:   1 Equivalent Computation Rules
  1083.    wt: 10:   5 Greater More Less Than Signs in General
  1084.    wt: 10:   1 Real Numbers Comparison
  1085.    wt: 10:   10 Real Number Lengths and Signs
  1086.    wt: 10:   4 Rational Numbers
  1087.    wt: 10:   3 Fractions
  1088.    wt: 10:   1 Whole and Natural Numbers
  1089.    wt: 10:   5 Independent versus Dependent Variables
  1090.    wt: 10:   2 Computation Rules Evaluation
  1091.    wt: 10:   Formula Usage Show Work Format
  1092.    wt: 10:   4 Circle Area Formula Example
  1093.    wt: 10:   3 Triangle Area Formula Example
  1094.    wt: 10:   1 Written work formats for developing and showing skill
  1095.    wt: 10:   10 Set View of Wordy Extensions To Arithmetic
  1096.    wt: 10:   9 Sets in Probability and Statistics
  1097.    wt: 10:   4 Subset Builder Notation
  1098.    wt: 10:   3 Counting with Sets etc
  1099.    wt: 10:   2 More and Less Than with Unlike Signs
  1100.    wt: 10:   17 GCD LCM of 85 and 60 via Prime
  1101.    wt: 10:   13 GCD from given Prime Factorization
  1102.    wt: 10:   11 GCD 2700 288 via Euclid Algorithm
  1103.    wt: 10:   7 GCD and LCM from prime factorization
  1104.    wt: 10:   5 Common Divisors 60 45 via Prime
  1105.    wt: 10:   12 GCD 2700 288 via Prime
  1106.    wt: 10:   5 Counting with Tables Trees Product Rule Take II
  1107.    wt: 10:   10 dividing signed numbers
  1108.    wt: 10:   7 negative and additive inverse
  1109.    wt: 10:   5 lengths and signs of numbers
  1110.    wt: 10:   2 signed and unsigned numbers as coordinates
  1111.    wt: 10:   3 Multiplying Units and Numbers
  1112.    wt: 10:   D Three Term Ratios
  1113.    wt: 10:   17 Efficient Ways to Add and Subtract
  1114.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  1115.    wt: 10:   10 Simplification of Fractions and Mixed Numerals
  1116.    wt: 10:   4 Fraction Multiplication
  1117.    wt: 10:   3 Unit fraction of a fraction
  1118.    wt: 10:   10 Integer Multiplication Formulas
  1119.    wt: 10:   5 Zero Movement and Additive Inverses
  1120.    wt: 10:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  1121.    wt: 10:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  1122.    wt: 10:   5 More on Groups of 3 Place Value in Decimal Fractions
  1123.    wt: 10:   Example 2 volume of a cone
  1124.    wt: 10:   Example 1 volume of a pyramid
  1125.    wt: 10:   Area Between Curves Lesson Take 1
  1126.    wt: 10:   A Related lessons in Volume 3
  1127.    wt: 10:   A Chain Rule Real Player video examples
  1128.    wt: 10:   29 Chain Rule Optional Reading
  1129.    wt: 10:   27 Chain Rule sinusoidal outer inner functions EGS
  1130.    wt: 10:   26 Chain Rule Recognising outer inner functions
  1131.    wt: 10:   25 Chain Rule Animated Examples Continued
  1132.    wt: 10:   21 Chain Rule for powers
  1133.    wt: 10:   20 Chain Rule for Pulley Systems
  1134.    wt: 10:   19 Chain Rule for linear functions
  1135.    wt: 10:   11 Quotient rule
  1136.    wt: 10:   9 Reciprocal rule
  1137.    wt: 10:   8 Differentiation of polynomials
  1138.    wt: 10:   7 Animated Differentiation Examples
  1139.    wt: 10:   Appendix E. How To Study Mathematics and Why
  1140.    wt: 10:   Appendix D. What to do in School and Why
  1141.    wt: 10:   Chapter 30 Truth Tables
  1142.    wt: 10:   How to Build Skills and Confidence
  1143.    wt: 10:   Chapter 8 Skipped Topics and Why
  1144.    wt: 10:   Chapter 3 Algebra Starter Lessons
  1145.    wt: 10:   7 Games and Activities for Instruction
  1146.    wt: 10:   1 From Number Recognition and Counting to Arithmetic B
  1147.    wt: 10:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.


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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity
Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards
More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers
Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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