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.

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II


Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math
, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome:Site 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.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 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.

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:   Volume 1A Regles et modeles/
  22.    wt: 6:   5 Factored Polynomial Sign Analysis Examples/
  23.    wt: 6:   4 Functions/
  24.    wt: 6:   3 Quadratics Geometrically/
  25.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  26.    wt: 6:   A Origins of Counting and Figuring Methods/
  27.    wt: 6:   9 Proportionality Backwards and Forwards/
  28.    wt: 6:   7 Axioms Logic and Equivalent Equations/
  29.    wt: 6:   6 More Less Greater Than Inequalities and Comparison/
  30.    wt: 6:   3 Solving Linear Equations/
  31.    wt: 6:   12 Comparison of Unsigned and Signed Numbers/
  32.    wt: 6:   11 Squares and Square Roots/
  33.    wt: 6:   8 Arithmetic with Signed Numbers/
  34.    wt: 6:   5 Integers/
  35.    wt: 6:   2 Arithmetic with Decimals/
  36.    wt: 6:   1 Decimal Place Value/
  37.    wt: 6:   PreSchool and Primary Mathematics or Quantitative Skills/
  38.    wt: 5:   12 Function Translating and Rescaling/
  39.    wt: 5:   11 Parallel Straight Lines and Transversals/
  40.    wt: 5:   8 Unit Circle Trigonometry/
  41.    wt: 5:   7 Complex Numbers/
  42.    wt: 5:   6 Trigonometry first steps/
  43.    wt: 5:   5 What is Similarity/
  44.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  45.    wt: 5:   1 Maps Plans Measurement/
  46.    wt: 5:   B Real Numbers Extrinsic Development/
  47.    wt: 5:   10 Examples of Algebraic Reasoning/
  48.    wt: 5:   8 Unifying Theme For Algebra/
  49.    wt: 5:   5 Real Numbers/
  50.    wt: 5:   2 Formula Forward Use Evaluation/
  51.    wt: 5:   1 Working With Sets/
  52.    wt: 5:   Secondary Mathematics A Practical Approach/
  53.    wt: 4:   LAMP Lean Applied Mathematics Program/
  54.    wt: 4:   Progressive Observable Motivated Mathematics Education/
  55.    wt: 4:   Mathematics Education Essays/
  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:   francais/
  66.    wt: 3:   Parent Center/
  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:   More Algebra/
  76.    wt: 2:   Geometry maps plans trigonometry vectors/
  77.    wt: 2:   Algebra Starter Lessons/
  78.    wt: 2:   Volume 1A Pattern Based Reason/
  79.    wt: 1:   Archives/
  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

649 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:   02 20 mathematics education references
  7.    wt: 4:   chapitre 04 04 Parlons de la logique
  8.    wt: 4:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  9.    wt: 4:   chapitre 04 00 Les regles d implication
  10.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  11.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  12.    wt: 4:   13 From one to one to many to one
  13.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  14.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  15.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  16.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  17.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  18.    wt: 4:   10 video Prime Factorization upto 23 squared
  19.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  20.    wt: 3:   04 29 New Mathematics Curriculum
  21.    wt: 3:   Education in mathematics science and technology
  22.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  23.    wt: 3:   chapitre 06 00 Chaines de la raison
  24.    wt: 3:   chapitre 05 00 Deception
  25.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  26.    wt: 3:   chapitre 04 09 Regles accidentelles
  27.    wt: 3:   chapitre 04 08 Limitations et benefices
  28.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  29.    wt: 3:   chapitre 04 06 engagements
  30.    wt: 3:   chapitre 04 05 Implication versus suggestion
  31.    wt: 3:   chapitre 04 02 Deuxieme enigme
  32.    wt: 3:   chapitre 04 01 Premiere enigme
  33.    wt: 3:   chapitre 02 00 La Communication des idees
  34.    wt: 3:   chapitre 01 00 Introduction
  35.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  36.    wt: 3:   Ages 3 plus to 4 plus
  37.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  38.    wt: 3:   4 Function notation in and beyond mathematics
  39.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  40.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  41.    wt: 3:   14 cosine even and sine and tangent are odd
  42.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  43.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  44.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  45.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  46.    wt: 3:   4 Polar Coordinates to and from
  47.    wt: 3:   3 Lengths and Areas on Maps and Plans
  48.    wt: 3:   13 Arrows and Vectors in a Plane
  49.    wt: 3:   4 A Brief Story of numbers and algebra
  50.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  51.    wt: 3:   4 LCM of 8 and 10 via Prime
  52.    wt: 3:   14 Adding and Subtracting with Like Denominators
  53.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  54.    wt: 3:   15 video Factors of 20 using Prime Factorization
  55.    wt: 3:   14 video Factors of 24 Take II
  56.    wt: 3:   13 video Factors of 24 using prime
  57.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  58.    wt: 3:   38 Formulas and derivatives for powers and roots
  59.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  60.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  61.    wt: 3:   Appendix E. How To Study Mathematics and Why
  62.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  63.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  64.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  65.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  66.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  67.    wt: 2:   Mathematics Education Professors
  68.    wt: 2:   three goals for Mathematics Education
  69.    wt: 2:   05 13 OldSiteEntrancePage
  70.    wt: 2:   Four ways to improve education reform
  71.    wt: 2:   How to be a better instructor
  72.    wt: 2:   words for mathematics instructor
  73.    wt: 2:   chapitre 12 00 les iles et division
  74.    wt: 2:   chapitre 07 01 principle D induction mathematique
  75.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  76.    wt: 2:   4 Energy Power Heat09
  77.    wt: 2:   3 Energy Power Heat08
  78.    wt: 2:   D Energy Power04
  79.    wt: 2:   C Energy Power03
  80.    wt: 2:   F Wire Resistance Calculation04
  81.    wt: 2:   E Wire Resistance Calculation03
  82.    wt: 2:   3 Like resistors in parallel
  83.    wt: 2:   2 Unlike resistors in parallel01
  84.    wt: 2:   Home Tutoring and Home Schooling
  85.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  86.    wt: 2:   24 Standards For Skill Develoment Take II
  87.    wt: 2:   24 Standards For Skill Develoment
  88.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  89.    wt: 2:   17 Math Booklets for children and young teenagers
  90.    wt: 2:   14 Multiplication and Times Tables
  91.    wt: 2:   13 Addition and Addition Tables
  92.    wt: 2:   12 Goals and Objectives For Mathematics
  93.    wt: 2:   11 Help and Defend Your Child or Teens Education
  94.    wt: 2:   4 Learning Takes Time and Effort
  95.    wt: 2:   Ages 12 to 14 Skills with take home value
  96.    wt: 2:   Ages 12 to 14 Geometry
  97.    wt: 2:   Ages 12 to 14 Arithmetic
  98.    wt: 2:   Ages 10 to 12 Geometry
  99.    wt: 2:   Ages 10 to 12 Arithmetic
  100.    wt: 2:   Ages 9 to 10
  101.    wt: 2:   Ages 4 plus to 5 plus
  102.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  103.    wt: 2:   3 quadratics factoring by inspection
  104.    wt: 2:   10 Exponential Growth and Decay Models
  105.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  106.    wt: 2:   8 Notes for instructors or tutors
  107.    wt: 2:   14 secant function Definition Graph and Inverse
  108.    wt: 2:   13 cosecant function Definition Graph and Inverse
  109.    wt: 2:   9 Summary Degrees to Radians and back
  110.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  111.    wt: 2:   13 Velocity Vectors in Physics
  112.    wt: 2:   12 From Applied To Pure Mathematics
  113.    wt: 2:   3 Navigation with Arrows or Vectors
  114.    wt: 2:   Vector and Complex Number Applet
  115.    wt: 2:   Triangle Angles Sum To 180 Degrees
  116.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  117.    wt: 2:   30 unit circle calculation of six trigonometric functions
  118.    wt: 2:   20 sine and cosine Double Angle Formulas
  119.    wt: 2:   10 Graphs of sines and cosines many periods
  120.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  121.    wt: 2:   13 Trig Formulas for dot and cross Products
  122.    wt: 2:   3 Trigonometric Ratios sine and cosine
  123.    wt: 2:   10 Midpoint of [a b] and [b a]
  124.    wt: 2:   7 Exercises to test skill and concept mastery
  125.    wt: 2:   10 Dropping a perpendicular to line
  126.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  127.    wt: 2:   4 Angles on Maps Plans drawn to scale
  128.    wt: 2:   4 Rates Ratios and Proporitionality
  129.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  130.    wt: 2:   4 Subtraction and Division Axioms
  131.    wt: 2:   3 More and Less Than with Unlike Signs
  132.    wt: 2:   2 More and Less Than for Counts and Measures
  133.    wt: 2:   10 Real Number Lengths and Signs
  134.    wt: 2:   3 Geometric Formulas and Function Notation
  135.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  136.    wt: 2:   3 GE III Equation Addition and Multiplication
  137.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  138.    wt: 2:   3 Adding Words To Arithmetic
  139.    wt: 2:   1 More and Less Than for Counts and Measures
  140.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  141.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  142.    wt: 2:   13 GCD from given Prime Factorization
  143.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  144.    wt: 2:   7 GCD and LCM from prime factorization
  145.    wt: 2:   5 Common Divisors 60 45 via Prime
  146.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  147.    wt: 2:   12 GCD 2700 288 via Prime
  148.    wt: 2:   3 Counting with Tables and Trees II
  149.    wt: 2:   3 signed coordinates for maps and planes
  150.    wt: 2:   3 Multiplying Units and Numbers
  151.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  152.    wt: 2:   17 Efficient Ways to Add and Subtract
  153.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  154.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  155.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  156.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  157.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  158.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  159.    wt: 2:   20 Uniqueness of Prime Factorization
  160.    wt: 2:   18 video Count Factors given Prime Factorization
  161.    wt: 2:   17 Identify and Count Factors using Primes
  162.    wt: 2:   16 video Factors of 980 using prime
  163.    wt: 2:   9 video Prime Factorization upto 19 squared
  164.    wt: 2:   8 video Prime Factorization upto 19
  165.    wt: 2:   7 Calculator Usage Notes and Cautions
  166.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  167.    wt: 2:   5 Prime Factorization and a Square Rule
  168.    wt: 2:   4 video Prime Factorization Introduction
  169.    wt: 2:   3 video Primes and Composites from 9 times table
  170.    wt: 2:   Long Division forwards and backwards Example 3
  171.    wt: 2:   10 Division by Five Long and Short Ways
  172.    wt: 2:   4 Two and Three Digit Multipliers
  173.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  174.    wt: 2:   8 What skills and work habits to require
  175.    wt: 2:   6. Counting and adding units and mixed units
  176.    wt: 2:   4. How to add with decimals B with conversions
  177.    wt: 2:   3. How to add with decimals A sans conversions
  178.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  179.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  180.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  181.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  182.    wt: 2:   Quick history of numbers and algebra
  183.    wt: 2:   015 School and work day counting tables
  184.    wt: 2:   014 Counting Days with Calendars
  185.    wt: 2:   013 Travel Time Tables
  186.    wt: 2:   010 Repeated Addition of Time Intervals
  187.    wt: 2:   4 Mixing and Changing Units of Time
  188.    wt: 2:   3 Units and Lengths of Time
  189.    wt: 2:   34 Derivative of exponential function
  190.    wt: 2:   33 Chain Rule Real Player video examples
  191.    wt: 2:   30Chain Rule A Proof
  192.    wt: 2:   15 sine and cosine derivatives 3rd step
  193.    wt: 2:   14 sine and cosine derivatives 2nd step
  194.    wt: 2:   13 sine and cosine derivatives 1st step
  195.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  196.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  197.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  198.    wt: 2:   Chapter 23 Links To Trigonometry
  199.    wt: 2:   Chapter 10 Slopes and Units
  200.    wt: 2:   Appendix D. What to do in School and Why
  201.    wt: 2:   Chapter 31 Direct and Indirect Reason
  202.    wt: 2:   Chapter 30 Truth Tables
  203.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  204.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  205.    wt: 2:   Chapter 20. Degrees and Radians
  206.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  207.    wt: 2:   Chapter 10 Describing and Changing Calculations
  208.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  209.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  210.    wt: 2:   Postscript B Mathematics Education References
  211.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  212.    wt: 2:   Chapter 2 For and Against Mathematics
  213.    wt: 2:   Postscript B More on Story Telling and Reason
  214.    wt: 2:   Chapter 24 Direct and Indirect Reason
  215.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  216.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  217.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  218.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  219.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  220.    wt: 2:   O On Learning Mathematics and Science
  221.    wt: 2:   E. When and how to correct errors
  222.    wt: 2:   A. Skill has to be seen to believed
  223.    wt: 2:   How to Build Skills and Confidence
  224.    wt: 2:   Chapter 8 Skipped Topics and Why
  225.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  226.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  227.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  228.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  229.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  230.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  231.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  232.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  233.    wt: 2:   Helping the Blind in Logic and Mathematics
  234.    wt: 2:   Mathematics Education References
  235.    wt: 2:   Mathematics Education References
  236.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  237.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  238.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  239.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  240.    wt: 1:   Appendix 2 primary school Arithmetic 01
  241.    wt: 1:   Appendix 1 primary and preschool mathematic
  242.    wt: 1:   K LAMP Musings Science Education
  243.    wt: 1:   E LAMP Introduction Modern Mathematics
  244.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  245.    wt: 1:   Skills Chapter 4 Logic
  246.    wt: 1:   Skills Chapter 3 Algebra
  247.    wt: 1:   Skills Chapter 0 Introduction
  248.    wt: 1:   11 pure mathematics
  249.    wt: 1:   10 statistics
  250.    wt: 1:   9 combinatorics probability sets
  251.    wt: 1:   7 logic review and decimals an odd combination
  252.    wt: 1:   5 logarithms and exponentials etc
  253.    wt: 1:   4 algebra
  254.    wt: 1:   3 Euclidean Geometry Leanly
  255.    wt: 1:   which way to go
  256.    wt: 1:   three goals to set for students
  257.    wt: 1:   links Education Resources online
  258.    wt: 1:   key notes and themes
  259.    wt: 1:   modern education
  260.    wt: 1:   grouping students according to ability
  261.    wt: 1:   what should be learnt and When
  262.    wt: 1:   mathematics in context
  263.    wt: 1:   Education Reform Inconsistencies
  264.    wt: 1:   Secondary Three Mathematics
  265.    wt: 1:   Secondary Two Mathematics
  266.    wt: 1:   Secondary One Mathematics
  267.    wt: 1:   What to Tell Students
  268.    wt: 1:   mathematics curriculum shifts
  269.    wt: 1:   teaching tutoring algebraic reason
  270.    wt: 1:   02 21 words for teachers
  271.    wt: 1:   three aims for mathematics students
  272.    wt: 1:   standards for course material
  273.    wt: 1:   Operational Viewpoint to Value
  274.    wt: 1:   mathematics instruction in general
  275.    wt: 1:   three kinds of reason in mathematics
  276.    wt: 1:   Motivation and Context Problem
  277.    wt: 1:   need for a mixed mathematics curriculum
  278.    wt: 1:   Leaner mathematics curriculum
  279.    wt: 1:   education an empirical art
  280.    wt: 1:   fairness and inductive principles for instruction
  281.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  282.    wt: 1:   2 Energy Power Heat07
  283.    wt: 1:   1 Energy Power Heat06
  284.    wt: 1:   E Energy Power05
  285.    wt: 1:   B Energy Power02
  286.    wt: 1:   A Energy Power01
  287.    wt: 1:   2 Conductance Resistance Duality02
  288.    wt: 1:   1 Conductance Resistance Duality01
  289.    wt: 1:   D Wire Resistance Calculation02
  290.    wt: 1:   C Wire Resistance Calculation01
  291.    wt: 1:   B Wire Resistance Qualitative02
  292.    wt: 1:   A Wire Resistance Qualitative01
  293.    wt: 1:   1 Like resistors in series
  294.    wt: 1:   H Series Circuit02
  295.    wt: 1:   G Series Circuit01
  296.    wt: 1:   F Unlike Resistors in Series
  297.    wt: 1:   C Electromotive force conventional current02
  298.    wt: 1:   B Electromotive force conventional current01
  299.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  300.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  301.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  302.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  303.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  304.    wt: 1:   22 Student Centered Highschool Mathematics
  305.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  306.    wt: 1:   18 Primary School Mathematics
  307.    wt: 1:   16 Secondary Mathematics Tips
  308.    wt: 1:   10 Ends values for work study instruction
  309.    wt: 1:   5 Patience Please for Yourself and Your Charges
  310.    wt: 1:   3 Preparing for Science Studies
  311.    wt: 1:   2 Reading and Writing Skills
  312.    wt: 1:   Ages 8 to 9
  313.    wt: 1:   Ages 7 to 8
  314.    wt: 1:   Ages 6 to 7
  315.    wt: 1:   sign monoticity analysis example 4
  316.    wt: 1:   sign monoticity analysis example 3
  317.    wt: 1:   26 Function definitions done and coming
  318.    wt: 1:   23 Inverse Functions
  319.    wt: 1:   20 Interchanging coordinates a reflection
  320.    wt: 1:   19 Horizontal line rule and method
  321.    wt: 1:   18 Vertical Line Rule and Method
  322.    wt: 1:   17 Function maxima minima and their location
  323.    wt: 1:   14 Surjections Injections Bijections
  324.    wt: 1:   11 Function Domain Range Source and Targets
  325.    wt: 1:   10 Interval Notation
  326.    wt: 1:   8 Set view of relations and functions
  327.    wt: 1:   6 Set Existence Formation and Notation
  328.    wt: 1:   3 Formula or function graphing exercise
  329.    wt: 1:   10 quadratic exercises
  330.    wt: 1:   9 quadratics physical and further context
  331.    wt: 1:   4 quadratics difference of two squares
  332.    wt: 1:   Quadratics in 10 steps
  333.    wt: 1:   11 Growth and Decay in Biology
  334.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  335.    wt: 1:   5 Natural Logarithm Calculator Exercises
  336.    wt: 1:   1 Calculator Starter Exercises
  337.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  338.    wt: 1:   4 Polynomials Long division linear divisor
  339.    wt: 1:   3 Polynomials Multiplication Addition
  340.    wt: 1:   16 cotangent function Definition Graph and Inverse
  341.    wt: 1:   15 cosecant function Definition Graph and Inverse
  342.    wt: 1:   10 arctan left inverse of tangent Definition
  343.    wt: 1:   4 possible motivation for term arccos
  344.    wt: 1:   3 Left Inverse of cosine arccos definition
  345.    wt: 1:   6 Radian Measure to Degrees
  346.    wt: 1:   5 Degrees to Radian Measure
  347.    wt: 1:   1 Degrees and Radians Introduction
  348.    wt: 1:   A Global Time and Navigation
  349.    wt: 1:   15 Dot and Cross Product
  350.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  351.    wt: 1:   10 Parallelogram Addition Method
  352.    wt: 1:   9 Head to Tail Coordinate View
  353.    wt: 1:   8 Parallel Vectors
  354.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  355.    wt: 1:   6 Vectors with Coordinates
  356.    wt: 1:   5 Head To Tail Arrow Addition
  357.    wt: 1:   4 Resultant of a Sum of Movements
  358.    wt: 1:   4 graphing y=Asin(x c)
  359.    wt: 1:   3 graphing y=f(x c) plus K
  360.    wt: 1:   Parallel Lines and Parallel Transversals
  361.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  362.    wt: 1:   Parallel Lines and Interior Angles
  363.    wt: 1:   14 Straight Lines Equations General Case
  364.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  365.    wt: 1:   10 Straight Lines through Origin Equations More
  366.    wt: 1:   4 Tangent Function Properties
  367.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  368.    wt: 1:   32 seven rows of pascals triangle
  369.    wt: 1:   31 basic secant cosecant cotangent trig identities
  370.    wt: 1:   29 secant cosecant and cotangent for acute angles
  371.    wt: 1:   27 Logarithmic use of products of sines and cosines
  372.    wt: 1:   26 Formulas for products of sines and cosines
  373.    wt: 1:   24 tangent Angle Difference Formula
  374.    wt: 1:   21 sine and cosine Half Angle Formulas
  375.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  376.    wt: 1:   17E Trig Formulas for dot and cross Products
  377.    wt: 1:   17D cis formulas for sine cosines and tangent
  378.    wt: 1:   17C sine and cosine double triple angle formulas
  379.    wt: 1:   13 Graph of tangent function many periods
  380.    wt: 1:   9 Graphs of sine and cosine over one period
  381.    wt: 1:   7 period of sine and cosine
  382.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  383.    wt: 1:   21 Logarithms Powers and Exponentials
  384.    wt: 1:   20 N th Roots of Complex Numbers
  385.    wt: 1:   16 References and Originality Question
  386.    wt: 1:   14 Law of cosines
  387.    wt: 1:   12 cis formulas for sine cosines and tangent
  388.    wt: 1:   11 sine and cosine double triple angle formulas
  389.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  390.    wt: 1:   7 Second Way to Calculate Products
  391.    wt: 1:   4 Multiplication Properties
  392.    wt: 1:   3 Addition Properties
  393.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  394.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  395.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  396.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  397.    wt: 1:   8 Similarity of Triangles and Polygons
  398.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  399.    wt: 1:   4 Similarity Definition with Coordinate
  400.    wt: 1:   3 Similarity by Design with coordinates
  401.    wt: 1:   4 Equations for lines three forms
  402.    wt: 1:   3 Slope product for perpendicular lines
  403.    wt: 1:   1 Numerical view of lines and their equations
  404.    wt: 1:   What is and is not here
  405.    wt: 1:   13 Pythagorean spatial distance formulas
  406.    wt: 1:   10 Pythagorean plane distance formula
  407.    wt: 1:   6 Polar Multiplication and Rotation
  408.    wt: 1:   5 Cartesian Addition and Translation
  409.    wt: 1:   3 Rectangular Coordinates Review
  410.    wt: 1:   17 Right Bisectors of Triangle Sides
  411.    wt: 1:   16 Angles Subtended By Chords and Diameters
  412.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  413.    wt: 1:   14 Parallel Lines Postulate
  414.    wt: 1:   13 Angle Side Angle Failure
  415.    wt: 1:   9 Construction of a right bisector
  416.    wt: 1:   6 Ruler and compass Angle Bisection
  417.    wt: 1:   4 Side Side Side
  418.    wt: 1:   3 Isometry of Triangles Congruence
  419.    wt: 1:   1 Initial Concepts and Terms
  420.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  421.    wt: 1:   6 Figuring with Maps Not to Scale
  422.    wt: 1:   A Modular and Remainder Arithmetic
  423.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  424.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  425.    wt: 1:   23 Distributive Law Two Derivations
  426.    wt: 1:   21 Addition of Multiples of a Single Vector
  427.    wt: 1:   19 Signed Multiples of Vectors
  428.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  429.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  430.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  431.    wt: 1:   15 Head to Tails in place Addition Associative
  432.    wt: 1:   11 Signed Number Addition and Addition Properties
  433.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  434.    wt: 1:   8 Division and Mulplication of Compound Fractions
  435.    wt: 1:   4 Location of Point in Decimal Addition
  436.    wt: 1:   3 Location of Point in Decimal Multiplication
  437.    wt: 1:   B Decimal Comparison and Subtraction
  438.    wt: 1:   4 Commutative Law Groups Counting Form
  439.    wt: 1:   3 Multiplicative Counting Skills Principles
  440.    wt: 1:   2 Combing Counts Addition Skills and Principles
  441.    wt: 1:   4 Fraction Operations Axiomatic Development
  442.    wt: 1:   3 Inequalities Algebraically
  443.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  444.    wt: 1:   3 Proportionality Examples
  445.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  446.    wt: 1:   6 Compound Interest Forward and Backwards
  447.    wt: 1:   3 Linear Equation Literal Solution More
  448.    wt: 1:   6 Equations and Systems Equivalent or Implied
  449.    wt: 1:   3 Product Axioms Two Forms
  450.    wt: 1:   2 Addition and Multiplication Axioms
  451.    wt: 1:   4 Comparison of Negative Numbers
  452.    wt: 1:   14 Real Number Multiplication
  453.    wt: 1:   13 Real Number Subtraction
  454.    wt: 1:   8 Coordinates for Maps and Planes
  455.    wt: 1:   4 Rational Numbers
  456.    wt: 1:   3 Fractions
  457.    wt: 1:   1 Whole and Natural Numbers
  458.    wt: 1:   4 Changing Letters
  459.    wt: 1:   1 Formulas Dependence and Function Notation
  460.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  461.    wt: 1:   4 GE III Animated Examples
  462.    wt: 1:   4 Solving a triangular system exercise
  463.    wt: 1:   3 Solving triangular system example
  464.    wt: 1:   4 Four Examples Fractional Coefficients
  465.    wt: 1:   3 Four Examples
  466.    wt: 1:   10 One Example
  467.    wt: 1:   4 Two Examples
  468.    wt: 1:   3 Two Examples
  469.    wt: 1:   13 Naming Identifying Formulas with Words
  470.    wt: 1:   10 Volume of Pyramid
  471.    wt: 1:   4 Circle Area Formula Example
  472.    wt: 1:   3 Triangle Area Formula Example
  473.    wt: 1:   1 Written work formats for developing and showing skill
  474.    wt: 1:   9 Sets in Probability and Statistics
  475.    wt: 1:   4 Subset Builder Notation
  476.    wt: 1:   3 Counting with Sets etc
  477.    wt: 1:   5 Talking about Numbers and Quantities
  478.    wt: 1:   4 Greater More Less Than Signs in General
  479.    wt: 1:   3 Comparison of Negative Numbers
  480.    wt: 1:   2 More and Less Than with Unlike Signs
  481.    wt: 1:   4 Square Roots with primes more
  482.    wt: 1:   3 Properties of Square Roots with example
  483.    wt: 1:   1 Squares and Square Roots Introduction
  484.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  485.    wt: 1:   4 Counting with Trees Product Rule Take I
  486.    wt: 1:   2 Counting with Tables and Trees I
  487.    wt: 1:   1 Counting and Counting Methods I
  488.    wt: 1:   11 What are real lengths and numbers
  489.    wt: 1:   10 dividing signed numbers
  490.    wt: 1:   7 negative and additive inverse
  491.    wt: 1:   5 lengths and signs of numbers
  492.    wt: 1:   4 signed coordinates for regions in space
  493.    wt: 1:   2 signed and unsigned numbers as coordinates
  494.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  495.    wt: 1:   4 Fractions with Units
  496.    wt: 1:   2 Equality and Units
  497.    wt: 1:   1 Addition and Subtraction with Units
  498.    wt: 1:   B Fractions and Two Term Ratios
  499.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  500.    wt: 1:   21 Reciprocals for Fractions and Wholes
  501.    wt: 1:   20 Dividing Fractions the Why
  502.    wt: 1:   19 Dividing Fractions How TO
  503.    wt: 1:   18 Efficient Ways to Multiply
  504.    wt: 1:   13 Fraction Comparison Algebraic View
  505.    wt: 1:   9 Improper Fractions and Mixed Numbers
  506.    wt: 1:   4 Fraction Multiplication
  507.    wt: 1:   3 Unit fraction of a fraction
  508.    wt: 1:   13 Subtraction with Additive Inverse
  509.    wt: 1:   11 Adding Integers Formulas and Examples
  510.    wt: 1:   10 Integer Multiplication Formulas
  511.    wt: 1:   5 Zero Movement and Additive Inverses
  512.    wt: 1:   4 Adding Movements wiht opposite directions
  513.    wt: 1:   3 Adding Movements with same direction
  514.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  515.    wt: 1:   26 Divisibility by 2 3 5 Example
  516.    wt: 1:   23 Remainder Arithmetic Modulo 2
  517.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  518.    wt: 1:   21 Remainder Arithmetic Modulo 3
  519.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  520.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  521.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  522.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  523.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  524.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  525.    wt: 1:   1 Remainder Arithmetic Modulo 10
  526.    wt: 1:   19 video Prime Factorization Unique
  527.    wt: 1:   12 LCD GCD and LCM using Primes
  528.    wt: 1:   2 Prime and Composites less than 16
  529.    wt: 1:   1 video how Products are bigger than factor
  530.    wt: 1:   Division with Counts and Length
  531.    wt: 1:   Long Division forwards and backwards Example 2
  532.    wt: 1:   Long Division forwards and backwards Example 1
  533.    wt: 1:   4 Division with 2 Digit Divsors
  534.    wt: 1:   3 Division Single Digit Divisor Example
  535.    wt: 1:   3 More One Digit Multipliers
  536.    wt: 1:   1 Why 3 times 5 gives 15
  537.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  538.    wt: 1:   5. How to add decimals C. Examples
  539.    wt: 1:   11 Place Value SI Standard International way
  540.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  541.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  542.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  543.    wt: 1:   Exact Arithmetic Wholes and Fractions
  544.    wt: 1:   Formula Evaluation how to show work
  545.    wt: 1:   Expression Evaluation how to show work
  546.    wt: 1:   The 20 Times Table
  547.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  548.    wt: 1:   016 Numbering Occidental Calendar Days
  549.    wt: 1:   012 Division of Time Intervals by Time Intervals
  550.    wt: 1:   011 Division of Time Intervals By Numbers
  551.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  552.    wt: 1:   8 Addition of Time Intervals via subtotaling
  553.    wt: 1:   2 Time and Date Matters in School
  554.    wt: 1:   1 Intro of Kids To Time Date Skills
  555.    wt: 1:   Example 1. Area Between x and x squared
  556.    wt: 1:   Example 4 with x function of y
  557.    wt: 1:   Example 3
  558.    wt: 1:   A Related Material in Volume 3
  559.    wt: 1:   4 Definite Integrals Evaluation Exercises
  560.    wt: 1:   3 Two Chain Rule Method Exercises
  561.    wt: 1:   A Related lessons in Volume 3
  562.    wt: 1:   4 Second derivative test exercise example
  563.    wt: 1:   3 Second derivative test
  564.    wt: 1:   36 Cube root derivative animated
  565.    wt: 1:   31 Derivatives of inverse functions
  566.    wt: 1:   24 Chain Rule Animated Examples
  567.    wt: 1:   23 Chain Rule in general
  568.    wt: 1:   20 Chain Rule for Pulley Systems
  569.    wt: 1:   17 Derivatives of quotients of sine and cosine
  570.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  571.    wt: 1:   10 Power rule for negative integers
  572.    wt: 1:   4 Sum Rule
  573.    wt: 1:   3 Motivation for Limit Definition Take 2
  574.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  575.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  576.    wt: 1:   10 Three one sided limits with infinite values
  577.    wt: 1:   9 Limits Continuity and Composition
  578.    wt: 1:   5 Jumps and absence of unlimited error control
  579.    wt: 1:   4 Numerical properties
  580.    wt: 1:   3 Decimal insights for limits continuity convergence
  581.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  582.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  583.    wt: 1:   G.3 Constant Difference Theorem Proof
  584.    wt: 1:   F.4 Finite Covering Theorem
  585.    wt: 1:   F.3 Intermediate Value Theorem
  586.    wt: 1:   D2 Limits of Monotone Sequences
  587.    wt: 1:   B3 Bolzano Weierstrass Theorem
  588.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  589.    wt: 1:   PostScript For and Against Decimal Perspectives
  590.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  591.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  592.    wt: 1:   Chapter 13. Acceleration
  593.    wt: 1:   Chapter 12. Units and Slopes
  594.    wt: 1:   Chapter 7 Slopes and Velocity
  595.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  596.    wt: 1:   Chapter 4. More Slope Sign Analysis
  597.    wt: 1:   Chapter 3. Slope Sign Analysis
  598.    wt: 1:   Chapter 2. Slopes and Ski Trails
  599.    wt: 1:   Fall 1983 Calculus Appetizer
  600.    wt: 1:   Appendix C. How to Read
  601.    wt: 1:   Appendix B. How To Learn
  602.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  603.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  604.    wt: 1:   Chapter 23. Notation For Sums
  605.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  606.    wt: 1:   Chapter 19. Functions and Sets
  607.    wt: 1:   Chapter 13. Second Reading Guide
  608.    wt: 1:   Chapter 12. Shorthand Usage Guide
  609.    wt: 1:   Chapter 11. Why Shorthand
  610.    wt: 1:   Chapter 4 Longer Chains of Reason
  611.    wt: 1:   Chapter 3 Chains of Reason
  612.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  613.    wt: 1:   Annotated Links to Material Elsehwere
  614.    wt: 1:   Chapter 10 Transition
  615.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  616.    wt: 1:   Chapter 3 Algebra Difficulties
  617.    wt: 1:   Postscript C Consistency as a Tool for Reason
  618.    wt: 1:   Postscript A Story Telling
  619.    wt: 1:   Chapter 23 Truth Tables
  620.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  621.    wt: 1:   Chapter 18 Sense and Knowledge
  622.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  623.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  624.    wt: 1:   Chapter 10 Responsibility
  625.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  626.    wt: 1:   S Adding words to algebra
  627.    wt: 1:   R Why Learn Mathematics Skills
  628.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  629.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  630.    wt: 1:   N Mathematics Prepare for College Studies
  631.    wt: 1:   M Words to extend arithmetic
  632.    wt: 1:   N Improving Marks on Tests and Finals
  633.    wt: 1:   J. More on written work and showing skill
  634.    wt: 1:   I. Logic and language skills
  635.    wt: 1:   H more Routine to non routine problem solving
  636.    wt: 1:   H Jigsaw puzzles and problem solving
  637.    wt: 1:   G. Written work formats for developing and showing skill
  638.    wt: 1:   F. The student teacher tutor feedback loop
  639.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  640.    wt: 1:   Chapter 6 More Algebra and Geometry
  641.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  642.    wt: 1:   Chapter 3 Algebra Starter Lessons
  643.    wt: 1:   7 Games and Activities for Instruction
  644.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  645.    wt: 1:   More Algebra and Slope based Calculus Preview
  646.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  647.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  648.    wt: 1:   Which Way To Go
  649.    wt: 1:   The Math Forum and Site Content

Extended Search

1146 matches:

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

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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


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

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

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

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