Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
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 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math
, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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  1.    wt: 5:   Applied Maths Program14092009 POMME variant
  2.    wt: 4:   Postscript 2007 01 10
  3.    wt: 4:   chapitre 01 00 Introduction
  4.    wt: 3:   Skills Chapter 0 Introduction
  5.    wt: 3:   02 20 mathematics education references
  6.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  7.    wt: 3:   chapitre 06 00 Chaines de la raison
  8.    wt: 3:   chapitre 05 00 Deception
  9.    wt: 3:   chapitre 04 00 Les regles d implication
  10.    wt: 3:   chapitre 02 00 La Communication des idees
  11.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  12.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  13.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  14.    wt: 2:   E LAMP Introduction Modern Mathematics
  15.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  16.    wt: 2:   04 29 New Mathematics Curriculum
  17.    wt: 2:   Leaner mathematics curriculum
  18.    wt: 2:   chapitre 12 00 les iles et division
  19.    wt: 2:   chapitre 07 01 principle D induction mathematique
  20.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  21.    wt: 2:   chapitre 04 09 Regles accidentelles
  22.    wt: 2:   chapitre 04 08 Limitations et benefices
  23.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  24.    wt: 2:   chapitre 04 06 engagements
  25.    wt: 2:   chapitre 04 05 Implication versus suggestion
  26.    wt: 2:   chapitre 04 04 Parlons de la logique
  27.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  28.    wt: 2:   chapitre 04 02 Deuxieme enigme
  29.    wt: 2:   chapitre 04 01 Premiere enigme
  30.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  31.    wt: 2:   12 From Applied To Pure Mathematics
  32.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  33.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  34.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  35.    wt: 2:   12 GCD 2700 288 via Prime
  36.    wt: 2:   010 Repeated Addition of Time Intervals
  37.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  38.    wt: 2:   Chapter 10 Slopes and Units
  39.    wt: 2:   Chapter 1.Introduction
  40.    wt: 2:   Chapter 30 Truth Tables
  41.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  42.    wt: 2:   Chapter 20. Degrees and Radians
  43.    wt: 2:   Chapter 10 Describing and Changing Calculations
  44.    wt: 2:   Chapter 10 Transition
  45.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  46.    wt: 2:   Chapter 2 For and Against Mathematics
  47.    wt: 2:   Chapter 1 Introduction
  48.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  49.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  50.    wt: 2:   Chapter 10 Responsibility
  51.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  52.    wt: 2:   Chapter 1 Introduction
  53.    wt: 1:   Appendix 2 primary school Arithmetic 01
  54.    wt: 1:   J LAMP Introduction Extrinsic Origins
  55.    wt: 1:   I LAMP Introduction Study Habits
  56.    wt: 1:   H LAMP Introduction Instructional Concepts
  57.    wt: 1:   G LAMP Introduction Problem Solving Skills
  58.    wt: 1:   F LAMP Introduction Prerequisites
  59.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  60.    wt: 1:   A Introduction Objectives
  61.    wt: 1:   Skills Chapter 5 Calculus
  62.    wt: 1:   Skills Chapter 4 Logic
  63.    wt: 1:   Ramblings Introduction Algebra Essay
  64.    wt: 1:   Skills Chapter 3 Algebra
  65.    wt: 1:   Skills Chapter 2 Geometry
  66.    wt: 1:   Skills Chapter 1 Arithmetic
  67.    wt: 1:   11 pure mathematics
  68.    wt: 1:   10 statistics
  69.    wt: 1:   3 Euclidean Geometry Leanly
  70.    wt: 1:   Math Ed if it must be short make it lean effective
  71.    wt: 1:   Mathematics Education Professors
  72.    wt: 1:   mathematics in context
  73.    wt: 1:   Secondary Three Mathematics
  74.    wt: 1:   Secondary Two Mathematics
  75.    wt: 1:   Secondary One Mathematics
  76.    wt: 1:   mathematics curriculum shifts
  77.    wt: 1:   three goals for Mathematics Education
  78.    wt: 1:   05 13 OldSiteEntrancePage
  79.    wt: 1:   04 25 when to stop or suspend mathemat
  80.    wt: 1:   02 21 words for teachers
  81.    wt: 1:   three aims for mathematics students
  82.    wt: 1:   mathematics instruction in general
  83.    wt: 1:   Education in mathematics science and technology
  84.    wt: 1:   three kinds of reason in mathematics
  85.    wt: 1:   need for a mixed mathematics curriculum
  86.    wt: 1:   words for mathematics instructor
  87.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  88.    wt: 1:   4 Energy Power Heat09
  89.    wt: 1:   3 Energy Power Heat08
  90.    wt: 1:   2 Energy Power Heat07
  91.    wt: 1:   1 Energy Power Heat06
  92.    wt: 1:   E Energy Power05
  93.    wt: 1:   D Energy Power04
  94.    wt: 1:   C Energy Power03
  95.    wt: 1:   B Energy Power02
  96.    wt: 1:   A Energy Power01
  97.    wt: 1:   2 Conductance Resistance Duality02
  98.    wt: 1:   1 Conductance Resistance Duality01
  99.    wt: 1:   F Wire Resistance Calculation04
  100.    wt: 1:   E Wire Resistance Calculation03
  101.    wt: 1:   D Wire Resistance Calculation02
  102.    wt: 1:   C Wire Resistance Calculation01
  103.    wt: 1:   B Wire Resistance Qualitative02
  104.    wt: 1:   A Wire Resistance Qualitative01
  105.    wt: 1:   2 Unlike resistors in parallel01
  106.    wt: 1:   H Series Circuit02
  107.    wt: 1:   G Series Circuit01
  108.    wt: 1:   C Electromotive force conventional current02
  109.    wt: 1:   B Electromotive force conventional current01
  110.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  111.    wt: 1:   22 Student Centered Highschool Mathematics
  112.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  113.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  114.    wt: 1:   18 Primary School Mathematics
  115.    wt: 1:   16 Secondary Mathematics Tips
  116.    wt: 1:   12 Goals and Objectives For Mathematics
  117.    wt: 1:   10 Ends values for work study instruction
  118.    wt: 1:   Ages 10 to 12 Geometry
  119.    wt: 1:   Ages 10 to 12 Arithmetic
  120.    wt: 1:   Ages 9 to 10
  121.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  122.    wt: 1:   20 Interchanging coordinates a reflection
  123.    wt: 1:   10 Interval Notation
  124.    wt: 1:   4 Function notation in and beyond mathematics
  125.    wt: 1:   1 Geometric Introduction of Function Notation
  126.    wt: 1:   Introduction Reading Guide
  127.    wt: 1:   10 quadratic exercises
  128.    wt: 1:   Quadratics in 10 steps
  129.    wt: 1:   10 Exponential Growth and Decay Models
  130.    wt: 1:   10 arctan left inverse of tangent Definition
  131.    wt: 1:   1 Degrees and Radians Introduction
  132.    wt: 1:   10 Parallelogram Addition Method
  133.    wt: 1:   Triangle Angles Sum To 180 Degrees
  134.    wt: 1:   10 Straight Lines through Origin Equations More
  135.    wt: 1:   30 unit circle calculation of six trigonometric functions
  136.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  137.    wt: 1:   20 sine and cosine Double Angle Formulas
  138.    wt: 1:   10 Graphs of sines and cosines many periods
  139.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  140.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  141.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  142.    wt: 1:   20 N th Roots of Complex Numbers
  143.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  144.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  145.    wt: 1:   10 Midpoint of [a b] and [b a]
  146.    wt: 1:   10 Pythagorean plane distance formula
  147.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  148.    wt: 1:   10 Dropping a perpendicular to line
  149.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  150.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  151.    wt: 1:   10 Real Number Lengths and Signs
  152.    wt: 1:   5 Algebraic Solutions Introduction
  153.    wt: 1:   10 One Example
  154.    wt: 1:   10 Volume of Pyramid
  155.    wt: 1:   7 Compound Interest Formula Introduction
  156.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  157.    wt: 1:   1 Squares and Square Roots Introduction
  158.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  159.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  160.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  161.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  162.    wt: 1:   5 Common Divisors 60 45 via Prime
  163.    wt: 1:   4 LCM of 8 and 10 via Prime
  164.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  165.    wt: 1:   1 Least Common Multiples LCM Introduction
  166.    wt: 1:   10 dividing signed numbers
  167.    wt: 1:   20 Dividing Fractions the Why
  168.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  169.    wt: 1:   10 Integer Multiplication Formulas
  170.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  171.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  172.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  173.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  174.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  175.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  176.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  177.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  178.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  179.    wt: 1:   1 Remainder Arithmetic Modulo 10
  180.    wt: 1:   20 Uniqueness of Prime Factorization
  181.    wt: 1:   16 video Factors of 980 using prime
  182.    wt: 1:   15 video Factors of 20 using Prime Factorization
  183.    wt: 1:   10 video Prime Factorization upto 23 squared
  184.    wt: 1:   4 video Prime Factorization Introduction
  185.    wt: 1:   10 Division by Five Long and Short Ways
  186.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  187.    wt: 1:   The 20 Times Table
  188.    wt: 1:   016 Numbering Occidental Calendar Days
  189.    wt: 1:   015 School and work day counting tables
  190.    wt: 1:   014 Counting Days with Calendars
  191.    wt: 1:   013 Travel Time Tables
  192.    wt: 1:   012 Division of Time Intervals by Time Intervals
  193.    wt: 1:   011 Division of Time Intervals By Numbers
  194.    wt: 1:   30Chain Rule A Proof
  195.    wt: 1:   20 Chain Rule for Pulley Systems
  196.    wt: 1:   18 Chain Rule Introduction
  197.    wt: 1:   10 Power rule for negative integers
  198.    wt: 1:   10 Three one sided limits with infinite values
  199.    wt: 1:   1 Numerical introduction
  200.    wt: 1:   A1. Introduction
  201.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  202.    wt: 1:   Chapter 23 Links To Trigonometry
  203.    wt: 1:   Chapter 22 Complex Numbers
  204.    wt: 1:   Chapter 21 Arrow Addition
  205.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  206.    wt: 1:   Chapter 18. Slopes Areas Integration
  207.    wt: 1:   Chapter 17. Area Approximation
  208.    wt: 1:   Chapter 16. Velocity Approximation
  209.    wt: 1:   Chapter 15. Slope Approximation
  210.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  211.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  212.    wt: 1:   Chapter 13. Acceleration
  213.    wt: 1:   Chapter 12. Units and Slopes
  214.    wt: 1:   Chapter 11. Graphing Slope versus Position
  215.    wt: 1:   Chapter 9 About First Courses in Calculus
  216.    wt: 1:   Chapter 8. Slope Interpretation
  217.    wt: 1:   Chapter 7 Slopes and Velocity
  218.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  219.    wt: 1:   Chapter 5. Slope Sign Tests
  220.    wt: 1:   Chapter 4. More Slope Sign Analysis
  221.    wt: 1:   Chapter 3. Slope Sign Analysis
  222.    wt: 1:   Chapter 2. Slopes and Ski Trails
  223.    wt: 1:   Appendix E. How To Study Mathematics and Why
  224.    wt: 1:   Chapter 31 Direct and Indirect Reason
  225.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  226.    wt: 1:   Chapter 28 Occurrence Tables
  227.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  228.    wt: 1:   Chapter 25. Mathematical Induction Examples
  229.    wt: 1:   Chapter 25. Mathematical Induction Examples
  230.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  231.    wt: 1:   Chapter 23. Notation For Sums
  232.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  233.    wt: 1:   Chapter 21. Third Reading Guide
  234.    wt: 1:   Chapter 19. Functions and Sets
  235.    wt: 1:   Chapter 18. Rules for Algebra
  236.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  237.    wt: 1:   Chapter 16. Painless Theorem Proving
  238.    wt: 1:   Chapter 15. Solving Linear Equations
  239.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  240.    wt: 1:   Chapter 13. Second Reading Guide
  241.    wt: 1:   Chapter 12. Shorthand Usage Guide
  242.    wt: 1:   Chapter 11. Why Shorthand
  243.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  244.    wt: 1:   Chapter 8 Three Skills For Algebra
  245.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  246.    wt: 1:   Chapter 6 Change of Language
  247.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  248.    wt: 1:   Chapter 4 Longer Chains of Reason
  249.    wt: 1:   Chapter 3 Chains of Reason
  250.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  251.    wt: 1:   Postscript B Mathematics Education References
  252.    wt: 1:   Chapter 12 Four Phases
  253.    wt: 1:   Chapter 11 Elementary Instruction
  254.    wt: 1:   Chapter 9 The Two Ends
  255.    wt: 1:   Chapter 8 Modern Instruction
  256.    wt: 1:   Chapter 7 Two Treatments of Geometry
  257.    wt: 1:   Chapter 5 Four References
  258.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  259.    wt: 1:   Chapter 3 Algebra Difficulties
  260.    wt: 1:   Chapter 24 Direct and Indirect Reason
  261.    wt: 1:   Chapter 23 Truth Tables
  262.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  263.    wt: 1:   Chapter 21 Occurrence Tables
  264.    wt: 1:   Chapter 18 Sense and Knowledge
  265.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  266.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  267.    wt: 1:   Chapter 15 Objective Processes
  268.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  269.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  270.    wt: 1:   Chapter 11 Accidental Patterns
  271.    wt: 1:   Chapter 8 Change of Language
  272.    wt: 1:   Chapter 7 Longer Chains of Reason
  273.    wt: 1:   Chapter 6 Chains of Reason
  274.    wt: 1:   Chapter 5 Deception
  275.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  276.    wt: 1:   Chapter 2 Skill Development
  277.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  278.    wt: 1:   R Why Learn Mathematics Skills
  279.    wt: 1:   O On Learning Mathematics and Science
  280.    wt: 1:   N Mathematics Prepare for College Studies
  281.    wt: 1:   Helping the Blind in Logic and Mathematics
  282.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  283.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  284.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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1125 matches:

  1.    wt: 9:   Appendix 2 primary school Arithmetic 01
  2.    wt: 9:   J LAMP Introduction Extrinsic Origins
  3.    wt: 9:   I LAMP Introduction Study Habits
  4.    wt: 9:   H LAMP Introduction Instructional Concepts
  5.    wt: 9:   G LAMP Introduction Problem Solving Skills
  6.    wt: 9:   F LAMP Introduction Prerequisites
  7.    wt: 9:   B LAMP Introduction Curriculum Development Standards
  8.    wt: 9:   A Introduction Objectives
  9.    wt: 9:   Skills Chapter 5 Calculus
  10.    wt: 9:   Skills Chapter 4 Logic
  11.    wt: 9:   Skills Chapter 3 Algebra
  12.    wt: 9:   Skills Chapter 2 Geometry
  13.    wt: 9:   Skills Chapter 1 Arithmetic
  14.    wt: 9:   Postscript 2007 01 10
  15.    wt: 9:   Objectives for Mathematics and Logic Language Skill Development
  16.    wt: 9:   Introduction Reading Guide
  17.    wt: 9:   Quadratics in 10 steps
  18.    wt: 9:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  19.    wt: 9:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  20.    wt: 9:   5 Areas of Rectangles Revisited
  21.    wt: 9:   4 Fraction Operations Axiomatic Development
  22.    wt: 9:   3 Inequalities Algebraically
  23.    wt: 9:   2 Fraction Operations Physical Development
  24.    wt: 9:   1 Decimals Modular and Remainder Arithmetic
  25.    wt: 9:   9 Circle Area and Perimeter Formula Backwards Forwards
  26.    wt: 9:   8 Pythagorean Relation Forwards Backwards
  27.    wt: 9:   7 Pythagorean Theorem Chinese Square Proof
  28.    wt: 9:   6 Compound Interest Forward and Backwards
  29.    wt: 9:   5 Triangle Area Formula Backwards
  30.    wt: 9:   4 Rectangle Area and Like Formulas Backwards
  31.    wt: 9:   3 Linear Equation Literal Solution More
  32.    wt: 9:   2 Linear Equation Literal Solution
  33.    wt: 9:   1 Changing Calculations
  34.    wt: 9:   6 Equations and Systems Equivalent or Implied
  35.    wt: 9:   5 Equality in Algebra
  36.    wt: 9:   4 Subtraction and Division Axioms
  37.    wt: 9:   3 Product Axioms Two Forms
  38.    wt: 9:   2 Addition and Multiplication Axioms
  39.    wt: 9:   1 Equivalent Computation Rules
  40.    wt: 9:   5 Greater More Less Than Signs in General
  41.    wt: 9:   4 Comparison of Negative Numbers
  42.    wt: 9:   3 More and Less Than with Unlike Signs
  43.    wt: 9:   2 More and Less Than for Counts and Measures
  44.    wt: 9:   1 Real Numbers Comparison
  45.    wt: 9:   10 Real Number Lengths and Signs
  46.    wt: 9:   5 Rational Numbers More
  47.    wt: 9:   4 Rational Numbers
  48.    wt: 9:   3 Fractions
  49.    wt: 9:   2 Integers
  50.    wt: 9:   1 Whole and Natural Numbers
  51.    wt: 9:   Formula Usage Show Work Format
  52.    wt: 9:   10 Volume of Pyramid
  53.    wt: 9:   9 Volume of Cone
  54.    wt: 9:   8 Compound Interest Formula Evaluation
  55.    wt: 9:   6 Pythagorean Hypotenuse Calculation Example
  56.    wt: 9:   5 Box Volume Formula Example
  57.    wt: 9:   4 Circle Area Formula Example
  58.    wt: 9:   3 Triangle Area Formula Example
  59.    wt: 9:   2 Another Rectangle Area Formula Example
  60.    wt: 9:   1 Written work formats for developing and showing skill
  61.    wt: 9:   10 Set View of Wordy Extensions To Arithmetic
  62.    wt: 9:   9 Sets in Probability and Statistics
  63.    wt: 9:   8 Sets of Numbers
  64.    wt: 9:   7 Cautious or Safe Set Construction
  65.    wt: 9:   6 Power Set Notation
  66.    wt: 9:   5 Product Builder Notation
  67.    wt: 9:   4 Subset Builder Notation
  68.    wt: 9:   3 Counting with Sets etc
  69.    wt: 9:   2 Venn Diagrams
  70.    wt: 9:   1 Finite Sets
  71.    wt: 9:   12 Why Long Division Works Take III
  72.    wt: 9:   11 Another Single Digit Divisor Example
  73.    wt: 9:   Appendix 2 Three Decimal Subtraction Methods
  74.    wt: 9:   Appendix 1 Decimals Comparison Method Take II
  75.    wt: 9:   Appendix 1 Counting Revisited 15 minute video
  76.    wt: 9:   Volume of Solid by Cross Sections Lesson
  77.    wt: 9:   Area Between Crossing Curves Lesson Take 1
  78.    wt: 9:   Example 1
  79.    wt: 9:   5 Area Under Curve Exercise
  80.    wt: 9:   4 Definite Integrals Evaluation Exercises
  81.    wt: 9:   3 Two Chain Rule Method Exercises
  82.    wt: 9:   2 Indefinite Integrals Exercises
  83.    wt: 9:   1 Chain Rule in Reverse Integration Method
  84.    wt: 9:   4 Second derivative test exercise example
  85.    wt: 9:   3 Second derivative test
  86.    wt: 9:   2 Second derivative test prequel
  87.    wt: 9:   1 Two cubic sketching exercises with 1st derivative
  88.    wt: 9:   36 Cube root derivative animated
  89.    wt: 9:   30Chain Rule A Proof
  90.    wt: 9:   28 Chain Rule Preparation for a Proof
  91.    wt: 9:   15 sine and cosine derivatives 3rd step
  92.    wt: 9:   12 Quotient rule examples
  93.    wt: 9:   10 Power rule for negative integers
  94.    wt: 9:   3 Motivation for Limit Definition Take 2
  95.    wt: 9:   2 Motivation for Limit Definition Take 1
  96.    wt: 9:   1 Fall 1983 Why Slopes Appetizer
  97.    wt: 9:   10 Three one sided limits with infinite values
  98.    wt: 9:   9 Limits Continuity and Composition
  99.    wt: 9:   8 Four Animated Examples
  100.    wt: 9:   7 Evaluation by immediate or delayed substitution
  101.    wt: 9:   6 Continuity at a point
  102.    wt: 9:   5 Jumps and absence of unlimited error control
  103.    wt: 9:   4 Numerical properties
  104.    wt: 9:   2 Algebraic codification
  105.    wt: 8:   Appendix 1 primary and preschool mathematic
  106.    wt: 8:   K LAMP Musings Science Education
  107.    wt: 8:   Ramblings Introduction Algebra Essay
  108.    wt: 8:   02 20 mathematics education references
  109.    wt: 8:   Leaner mathematics curriculum
  110.    wt: 8:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  111.    wt: 8:   Ages 10 to 12 Geometry
  112.    wt: 8:   Ages 10 to 12 Arithmetic
  113.    wt: 8:   Ages 9 to 10
  114.    wt: 8:   20 Interchanging coordinates a reflection
  115.    wt: 8:   10 Interval Notation
  116.    wt: 8:   4 Function notation in and beyond mathematics
  117.    wt: 8:   1 Geometric Introduction of Function Notation
  118.    wt: 8:   10 Exponential Growth and Decay Models
  119.    wt: 8:   1 Degrees and Radians Introduction
  120.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  121.    wt: 8:   Straight Lines Instersection Solving Equations
  122.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  123.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  124.    wt: 8:   20 N th Roots of Complex Numbers
  125.    wt: 8:   10 sine cosine Angle Sum Formulas via cis
  126.    wt: 8:   Appetizer A Complex Number Applet
  127.    wt: 8:   Why Trigonometry the whyslopes view
  128.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  129.    wt: 8:   10 Midpoint of [a b] and [b a]
  130.    wt: 8:   What is and is not here
  131.    wt: 8:   10 Pythagorean plane distance formula
  132.    wt: 8:   10 Dropping a perpendicular to line
  133.    wt: 8:   Short Course on Euclidean Geometry
  134.    wt: 8:   A Measurement with Ruler Proper Use
  135.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  136.    wt: 8:   6 Figuring with Maps Not to Scale
  137.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  138.    wt: 8:   4 Angles on Maps Plans drawn to scale
  139.    wt: 8:   3 Lengths and Areas on Maps and Plans
  140.    wt: 8:   2 Measuring Area Directly
  141.    wt: 8:   1 Length Measurement
  142.    wt: 8:   A Signed Number Arithmetic Review
  143.    wt: 8:   26 More Less Greater Than Comparison
  144.    wt: 8:   25 Mid way Convergence to Axiomatic Approach
  145.    wt: 8:   24 Signed Numbers Arithmmetic Properties
  146.    wt: 8:   23 Distributive Law Two Derivations
  147.    wt: 8:   22 Multiplication of Signed Numbers
  148.    wt: 8:   21 Addition of Multiples of a Single Vector
  149.    wt: 8:   19 Signed Multiples of Vectors
  150.    wt: 8:   18 Geometrically Why Vector Addition Commutes
  151.    wt: 8:   17 Arrows Rotate to Reverse with Length Unchanged
  152.    wt: 8:   16 Collinear Horizontal Arrows Vectors
  153.    wt: 8:   15 Head to Tails in place Addition Associative
  154.    wt: 8:   14 Vector Head to Tail Sums and Resultants
  155.    wt: 8:   13 Arrows and Vectors in a Plane
  156.    wt: 8:   12 Real Numbers Line Signed Coordinates
  157.    wt: 8:   11 Signed Number Addition and Addition Properties
  158.    wt: 8:   9 Division with Digits after Decimal Point
  159.    wt: 8:   8 Division and Mulplication of Compound Fractions
  160.    wt: 8:   7 Arithmetic with Infinite Decimal Expansions
  161.    wt: 8:   6 Infinite Decimals Ending in 9 repeating
  162.    wt: 8:   5 Fractions with Infinite Decimal Expansions
  163.    wt: 8:   4 Location of Point in Decimal Addition
  164.    wt: 8:   3 Location of Point in Decimal Multiplication
  165.    wt: 8:   2 Counting Digits in Decimal Multiplication
  166.    wt: 8:   1 Fractions with Finite Decimal Expansions
  167.    wt: 8:   E Long Division Methods more
  168.    wt: 8:   D Long Division Methods
  169.    wt: 8:   C Three Decimal Subtraction Methods
  170.    wt: 8:   B Decimal Comparison and Subtraction
  171.    wt: 8:   A Decimal Addition Columm Methods
  172.    wt: 8:   8 Column Multiplication Methods in General
  173.    wt: 8:   7 Decimals Multiplication Methods Examples
  174.    wt: 8:   6 Column Methods for Decimal Multiplication
  175.    wt: 8:   5 Distributive Law for Whole Numbers
  176.    wt: 8:   4 Commutative Law Groups Counting Form
  177.    wt: 8:   3 Multiplicative Counting Skills Principles
  178.    wt: 8:   2 Combing Counts Addition Skills and Principles
  179.    wt: 8:   1 The Counting Origins of Numbers
  180.    wt: 8:   5 Proportionality in Equivalent Fractions
  181.    wt: 8:   4 Rates Ratios and Proporitionality
  182.    wt: 8:   3 Proportionality Examples
  183.    wt: 8:   2 Algebraic View
  184.    wt: 8:   1 What is Proportionality
  185.    wt: 8:   16 Real Numbers Comparison
  186.    wt: 8:   15 Real Number Division
  187.    wt: 8:   14 Real Number Multiplication
  188.    wt: 8:   13 Real Number Subtraction
  189.    wt: 8:   12 Real Number Additive Inverses or Negatives
  190.    wt: 8:   11 Real Number Addition
  191.    wt: 8:   9 Coordinates for Regions in Space
  192.    wt: 8:   8 Coordinates for Maps and Planes
  193.    wt: 8:   7 Real Numbers as Line Cordinates
  194.    wt: 8:   6 Unsigned Real Numbers
  195.    wt: 8:   5 Independent versus Dependent Variables
  196.    wt: 8:   4 Changing Letters
  197.    wt: 8:   3 Geometric Formulas and Function Notation
  198.    wt: 8:   2 Computation Rules Evaluation
  199.    wt: 8:   1 Formulas Dependence and Function Notation
  200.    wt: 8:   More Exercises
  201.    wt: 8:   Using Letters for Physical Quantities
  202.    wt: 8:   13 Naming Identifying Formulas with Words
  203.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
  204.    wt: 8:   11 Volume of Sphere
  205.    wt: 8:   10 dividing signed numbers
  206.    wt: 8:   10 Integer Multiplication Formulas
  207.    wt: 8:   20 Uniqueness of Prime Factorization
  208.    wt: 8:   10 video Prime Factorization upto 23 squared
  209.    wt: 8:   4 video Prime Factorization Introduction
  210.    wt: 8:   Long Division Backwards more
  211.    wt: 8:   Long Division Backward
  212.    wt: 8:   Long Division forwards and backwards Example 2
  213.    wt: 8:   Video Decimal Multiplication Geometric View Example 2
  214.    wt: 8:   Video Decimal Multiplication Geometric View Example 2
  215.    wt: 8:   Video Power Notation in Decimal Expansion
  216.    wt: 8:   Subtraction with J Conversions Example
  217.    wt: 8:   Subtraction Another Video Lesson
  218.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  219.    wt: 8:   Example 2 volume of a cone
  220.    wt: 8:   Example 1 volume of a pyramid
  221.    wt: 8:   Example 1. Area Between x and x squared
  222.    wt: 8:   Area Between Crossing Curves Lesson Take 2
  223.    wt: 8:   Example 4 with x function of y
  224.    wt: 8:   Example 3
  225.    wt: 8:   Example 2
  226.    wt: 8:   Area Between Curves Lesson Take 1
  227.    wt: 8:   A Related Material in Volume 3
  228.    wt: 8:   A Chain Rule Real Player video examples
  229.    wt: 8:   38 Formulas and derivatives for powers and roots
  230.    wt: 8:   34 Derivative of exponential function
  231.    wt: 8:   33 Chain Rule Real Player video examples
  232.    wt: 8:   31 Derivatives of inverse functions
  233.    wt: 8:   29 Chain Rule Optional Reading
  234.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  235.    wt: 8:   26 Chain Rule Recognising outer inner functions
  236.    wt: 8:   23 Chain Rule in general
  237.    wt: 8:   22 Chain Rule for polynomials
  238.    wt: 8:   21 Chain Rule for powers
  239.    wt: 8:   20 Chain Rule for Pulley Systems
  240.    wt: 8:   19 Chain Rule for linear functions
  241.    wt: 8:   17 Derivatives of quotients of sine and cosine
  242.    wt: 8:   16 Derivatives of reciprocals of sine and cosine
  243.    wt: 8:   14 sine and cosine derivatives 2nd step
  244.    wt: 8:   13 sine and cosine derivatives 1st step
  245.    wt: 8:   11 Quotient rule
  246.    wt: 8:   9 Reciprocal rule
  247.    wt: 8:   8 Differentiation of polynomials
  248.    wt: 8:   7 Animated Differentiation Examples
  249.    wt: 8:   6 Power rule from product rule
  250.    wt: 8:   5 Product Rule
  251.    wt: 8:   4 Sum Rule
  252.    wt: 8:   13 Limits with Parameters and Derivatives Take II
  253.    wt: 8:   12 Limits with Parameters and Derivatives Take I
  254.    wt: 8:   11 Limits at infinity Three Examples
  255.    wt: 8:   3 Decimal insights for limits continuity convergence
  256.    wt: 8:   Chapter 1 Introduction to Chapters 2 to 6
  257.    wt: 7:   Ramblings Extrinsic numbers theory
  258.    wt: 7:   10 statistics
  259.    wt: 7:   3 Euclidean Geometry Leanly
  260.    wt: 7:   What is POMME
  261.    wt: 7:   04 29 New Mathematics Curriculum
  262.    wt: 7:   need for a mixed mathematics curriculum
  263.    wt: 7:   words for mathematics instructor
  264.    wt: 7:   10 Ends values for work study instruction
  265.    wt: 7:   Ages 8 to 9
  266.    wt: 7:   Ages 7 to 8
  267.    wt: 7:   Ages 6 to 7
  268.    wt: 7:   Ages 4 plus to 5 plus
  269.    wt: 7:   Ages 3 plus to 4 plus
  270.    wt: 7:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  271.    wt: 7:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  272.    wt: 7:   9 Set theory term relation possible origins
  273.    wt: 7:   8 Set view of relations and functions
  274.    wt: 7:   7 Functions with finite domains
  275.    wt: 7:   6 Set Existence Formation and Notation
  276.    wt: 7:   5 Function notation for geometric transformations
  277.    wt: 7:   3 Formula or function graphing exercise
  278.    wt: 7:   2 Algebraic use of function notation
  279.    wt: 7:   A Quadratics Summary
  280.    wt: 7:   9 Formulas for Real Exponents with Logarithms
  281.    wt: 7:   8 Formulas for Fractional Exponents with Logarithms
  282.    wt: 7:   7 Formulas for Roots with Logarithms Derivation
  283.    wt: 7:   6 Formulas for Even and Odd Roots with Logarithms
  284.    wt: 7:   5 Natural Logarithm Calculator Exercises
  285.    wt: 7:   3 Natural Logarithms and Exponentials Basic Properties
  286.    wt: 7:   2 Square Root Simplification a prequel
  287.    wt: 7:   1 Calculator Starter Exercises
  288.    wt: 7:   10 arctan left inverse of tangent Definition
  289.    wt: 7:   12 From Applied To Pure Mathematics
  290.    wt: 7:   10 Parallelogram Addition Method
  291.    wt: 7:   Vector and Complex Number Applet
  292.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  293.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  294.    wt: 7:   Straight Lines ASA Intersection Study More
  295.    wt: 7:   Straight Lines ASA Intersection Study
  296.    wt: 7:   Straight Lines Intersection of
  297.    wt: 7:   10 Straight Lines through Origin Equations More
  298.    wt: 7:   9 Straight Lines through Origin Equations
  299.    wt: 7:   2 Straight Lines Slopes As Rise Over Run
  300.    wt: 7:   10 Graphs of sines and cosines many periods
  301.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  302.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  303.    wt: 7:   Unit Circle Development of Trigonometry
  304.    wt: 7:   9 The complex number valued trig function cis
  305.    wt: 7:   8 Unit Circle Development of Trigonometry
  306.    wt: 7:   7 Second Way to Calculate Products
  307.    wt: 7:   6 Field Properties of Complex Number
  308.    wt: 7:   5 An Easy Proof of the Distributive Law
  309.    wt: 7:   4 Multiplication Properties
  310.    wt: 7:   3 Addition Properties
  311.    wt: 7:   2 Complex Numbers made easier we hope
  312.    wt: 7:   1 Rectangular Polar Coordinates Review
  313.    wt: 7:   8 Triangles Cascade Problem Solving
  314.    wt: 7:   7 Trignometric Ratios Unit Circle
  315.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  316.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  317.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  318.    wt: 7:   3 Trigonometric Ratios sine and cosine
  319.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  320.    wt: 7:   1 Angle Measurement with Degrees
  321.    wt: 7:   9 Similarity of Triangles Usual Criteria
  322.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  323.    wt: 7:   8 Mid Point Formula
  324.    wt: 7:   7 Exercises to test skill and concept mastery
  325.    wt: 7:   6 Intersection of lines by solving linear systems
  326.    wt: 7:   5 Algebraic View of Slopes
  327.    wt: 7:   4 Equations for lines three forms
  328.    wt: 7:   3 Slope product for perpendicular lines
  329.    wt: 7:   2 point slope equation for a line
  330.    wt: 7:   1 Numerical view of lines and their equations
  331.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  332.    wt: 7:   8 Distance Between Points on a Line
  333.    wt: 7:   7 Complex Numbers Appetizer
  334.    wt: 7:   6 Polar Multiplication and Rotation
  335.    wt: 7:   5 Cartesian Addition and Translation
  336.    wt: 7:   4 Polar Coordinates to and from
  337.    wt: 7:   3 Rectangular Coordinates Review
  338.    wt: 7:   2 Cartesian Coordinates with signs
  339.    wt: 7:   1 Cartesian Coordinates sans signs
  340.    wt: 7:   Euclidean Geometry Elsewhere LINKS
  341.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  342.    wt: 7:   9 Construction of a right bisector
  343.    wt: 7:   8 Isoceles Triangles
  344.    wt: 7:   7 Angle Side Angle
  345.    wt: 7:   6 Ruler and compass Angle Bisection
  346.    wt: 7:   5 Side Angle Side
  347.    wt: 7:   4 Side Side Side
  348.    wt: 7:   3 Isometry of Triangles Congruence
  349.    wt: 7:   2 Correspondence between Triangles
  350.    wt: 7:   1 Initial Concepts and Terms
  351.    wt: 7:   A Modular and Remainder Arithmetic
  352.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  353.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
  354.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  355.    wt: 7:   12 GCD 2700 288 via Prime
  356.    wt: 7:   9 subtracting signed numbers
  357.    wt: 7:   8 multiplying signed numbers
  358.    wt: 7:   7 negative and additive inverse
  359.    wt: 7:   6 adding signed numbers
  360.    wt: 7:   5 lengths and signs of numbers
  361.    wt: 7:   4 signed coordinates for regions in space
  362.    wt: 7:   3 signed coordinates for maps and planes
  363.    wt: 7:   2 signed and unsigned numbers as coordinates
  364.    wt: 7:   D Three Term Ratios
  365.    wt: 7:   C Equality for Fractions and Two Term Ratios and Fractions
  366.    wt: 7:   B Fractions and Two Term Ratios
  367.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  368.    wt: 7:   9 Multiplying Integers
  369.    wt: 7:   8 Multiplication by Signed Numbers Integers
  370.    wt: 7:   7 Multiplication by Signs
  371.    wt: 7:   6 Multiplication by Natural Numbers
  372.    wt: 7:   5 Zero Movement and Additive Inverses
  373.    wt: 7:   4 Adding Movements wiht opposite directions
  374.    wt: 7:   3 Adding Movements with same direction
  375.    wt: 7:   2 Integers Multiplies of a Unit Moverment
  376.    wt: 7:   1 Integers as Coordinates
  377.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  378.    wt: 7:   27 Divisibility by 2 3 6 5 9 10 Example
  379.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  380.    wt: 7:   16 Remainder Arithmetic Modulo 9 Example 2
  381.    wt: 7:   12 Remainder Arithmetic Modulo 10 Example
  382.    wt: 7:   10 Remainder Arithmetic Long Division by 5 Quickly
  383.    wt: 7:   6 Remainder Arithmetic Modulo 5 Propertie
  384.    wt: 7:   4 Remainder Arithmetic Modulo 10 in general
  385.    wt: 7:   3 Remainder Arithmetic Modulos 10 more still
  386.    wt: 7:   2 Remainder Arithmetic Modulo 10 more
  387.    wt: 7:   1 Remainder Arithmetic Modulo 10
  388.    wt: 7:   16 video Factors of 980 using prime
  389.    wt: 7:   15 video Factors of 20 using Prime Factorization
  390.    wt: 7:   9 video Prime Factorization upto 19 squared
  391.    wt: 7:   8 video Prime Factorization upto 19
  392.    wt: 7:   7 Calculator Usage Notes and Cautions
  393.    wt: 7:   6 Sieve of Eratosthenes and Square Rule
  394.    wt: 7:   5 Prime Factorization and a Square Rule
  395.    wt: 7:   3 video Primes and Composites from 9 times table
  396.    wt: 7:   2 Prime and Composites less than 16
  397.    wt: 7:   1 video how Products are bigger than factor
  398.    wt: 7:   Division with Counts and Length
  399.    wt: 7:   Long Division forwards and backwards Example 3
  400.    wt: 7:   Long Division forwards and backwards Example 1
  401.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  402.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  403.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  404.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  405.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  406.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  407.    wt: 7:   3 More on Groups of 3 Multi Digit Place Value
  408.    wt: 7:   2 Groups of Three Place Value for Multidigit Decimals
  409.    wt: 7:   1 Place Value in Three Digit Whole Numbers
  410.    wt: 7:   Area Between Curves Lesson Take 2
  411.    wt: 7:   25 Chain Rule Animated Examples Continued
  412.    wt: 7:   24 Chain Rule Animated Examples
  413.    wt: 7:   Chapter 1.Introduction
  414.    wt: 7:   Chapter 30 Truth Tables
  415.    wt: 7:   Chapter 20. Degrees and Radians
  416.    wt: 7:   Chapter 10 Describing and Changing Calculations
  417.    wt: 7:   How to Build Skills and Confidence
  418.    wt: 6:   11 pure mathematics
  419.    wt: 6:   9 combinatorics probability sets
  420.    wt: 6:   8 analytic geometry etc
  421.    wt: 6:   7 logic review and decimals an odd combination
  422.    wt: 6:   6 polynomials etc
  423.    wt: 6:   5 logarithms and exponentials etc
  424.    wt: 6:   4 algebra
  425.    wt: 6:   2 arithmetic with signed numbers
  426.    wt: 6:   1 arithmetic with unsigned numbers
  427.    wt: 6:   website reviews
  428.    wt: 6:   Math Ed if it must be short make it lean effective
  429.    wt: 6:   links Education Resources online
  430.    wt: 6:   Mathematics Education Professors
  431.    wt: 6:   teacher certification
  432.    wt: 6:   mathematics in context
  433.    wt: 6:   Secondary Two Mathematics
  434.    wt: 6:   Secondary One Mathematics
  435.    wt: 6:   mathematics curriculum shifts
  436.    wt: 6:   three goals for Mathematics Education
  437.    wt: 6:   05 13 OldSiteEntrancePage
  438.    wt: 6:   04 25 when to stop or suspend mathemat
  439.    wt: 6:   02 21 words for teachers
  440.    wt: 6:   three aims for mathematics students
  441.    wt: 6:   mathematics instruction in general
  442.    wt: 6:   Education in mathematics science and technology
  443.    wt: 6:   three kinds of reason in mathematics
  444.    wt: 6:   Four ways to improve education reform
  445.    wt: 6:   How to be a better instructor
  446.    wt: 6:   Motivation and Context Problem
  447.    wt: 6:   fairness and inductive principles for instruction
  448.    wt: 6:   liens
  449.    wt: 6:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  450.    wt: 6:   problemes algebre et arithmetique
  451.    wt: 6:   Trois Notions qui menent a algebre
  452.    wt: 6:   deux definitions pour variable
  453.    wt: 6:   logique deux enigme
  454.    wt: 6:   2 Conductance Resistance Duality02
  455.    wt: 6:   H Series Circuit02
  456.    wt: 6:   G Series Circuit01
  457.    wt: 6:   C Electromotive force conventional current02
  458.    wt: 6:   B Electromotive force conventional current01
  459.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  460.    wt: 6:   22 Student Centered Highschool Mathematics
  461.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  462.    wt: 6:   19 Extending the Oral Dimension of Mathematics
  463.    wt: 6:   18 Primary School Mathematics
  464.    wt: 6:   16 Secondary Mathematics Tips
  465.    wt: 6:   12 Goals and Objectives For Mathematics
  466.    wt: 6:   9 Streaming by Student Cooperation
  467.    wt: 6:   8 The Effect of Negative Remarks
  468.    wt: 6:   7 Student Motivation
  469.    wt: 6:   6 Discipline Who is in Charge Conserving Authority
  470.    wt: 6:   5 Patience Please for Yourself and Your Charges
  471.    wt: 6:   4 Learning Takes Time and Effort
  472.    wt: 6:   3 Preparing for Science Studies
  473.    wt: 6:   2 Reading and Writing Skills
  474.    wt: 6:   1 Speaking Skills
  475.    wt: 6:   Ages 12 to 14 Skills with take home value
  476.    wt: 6:   Ages 12 to 14 Geometry
  477.    wt: 6:   Ages 12 to 14 Arithmetic
  478.    wt: 6:   sign monoticity analysis example 4
  479.    wt: 6:   sign monoticity analysis example 3
  480.    wt: 6:   sign monoticity analysis example 2
  481.    wt: 6:   sign monoticity analysis example 1
  482.    wt: 6:   26 Function definitions done and coming
  483.    wt: 6:   25 Absolute Value greatest integer and saw tooth functions
  484.    wt: 6:   24 Monotoncity Injectivity and Inverse Functions
  485.    wt: 6:   23 Inverse Functions
  486.    wt: 6:   22 Square Root function graphically
  487.    wt: 6:   21 Graphs of functions given by Horizontal Line Method
  488.    wt: 6:   19 Horizontal line rule and method
  489.    wt: 6:   18 Vertical Line Rule and Method
  490.    wt: 6:   17 Function maxima minima and their location
  491.    wt: 6:   16 Increasing or decreasing on intervals
  492.    wt: 6:   15 Sign analysis of functions
  493.    wt: 6:   14 Surjections Injections Bijections
  494.    wt: 6:   13 From one to one to many to one
  495.    wt: 6:   12 Function Domain Recognition Exercises
  496.    wt: 6:   11 Function Domain Range Source and Targets
  497.    wt: 6:   10 quadratic exercises
  498.    wt: 6:   9 quadratics physical and further context
  499.    wt: 6:   8 quadratics backward use of various formulas
  500.    wt: 6:   7 quadratic formulla derivation
  501.    wt: 6:   6 quadratics numerical approach
  502.    wt: 6:   5 quadratics completing the square
  503.    wt: 6:   4 quadratics difference of two squares
  504.    wt: 6:   3 quadratics factoring by inspection
  505.    wt: 6:   2 quadratics graphing in general
  506.    wt: 6:   1 quadratics graphing exercises
  507.    wt: 6:   11 Growth and Decay in Biology
  508.    wt: 6:   8 Notes for instructors or tutors
  509.    wt: 6:   7 Links Lessons Elsewhere
  510.    wt: 6:   6 Polynomial Operations and Equivalent Computation Rules
  511.    wt: 6:   5 Polynomials Long division Nonlinear divisor
  512.    wt: 6:   4 Polynomials Long division linear divisor
  513.    wt: 6:   3 Polynomials Multiplication Addition
  514.    wt: 6:   2 Column Multiplication Method
  515.    wt: 6:   1 Polynomials Distributive Law
  516.    wt: 6:   Rewriting algebraic substitution as function substitutions
  517.    wt: 6:   14 secant function Definition Graph and Inverse
  518.    wt: 6:   13 cosecant function Definition Graph and Inverse
  519.    wt: 6:   12 motivation for term arctan
  520.    wt: 6:   11 arctan left inverse of tangent Graph
  521.    wt: 6:   9 motivation for name arcsin
  522.    wt: 6:   8 arcsin left inverse of sine Graph
  523.    wt: 6:   7 arcsin left inverse of sine Definition
  524.    wt: 6:   6 Graph of arccos function
  525.    wt: 6:   5 Swapping Coordinates is a reflection
  526.    wt: 6:   4 possible motivation for term arccos
  527.    wt: 6:   3 Left Inverse of cosine arccos definition
  528.    wt: 6:   2 cosine function more properties
  529.    wt: 6:   1 cosine function properties
  530.    wt: 6:   9 Summary Degrees to Radians and back
  531.    wt: 6:   A Global Time and Navigation
  532.    wt: 6:   9 Head to Tail Coordinate View
  533.    wt: 6:   8 Parallel Vectors
  534.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  535.    wt: 6:   6 Vectors with Coordinates
  536.    wt: 6:   5 Head To Tail Arrow Addition
  537.    wt: 6:   4 Resultant of a Sum of Movements
  538.    wt: 6:   3 Navigation with Arrows or Vectors
  539.    wt: 6:   2 Signed Coordinates
  540.    wt: 6:   1 Unsigned Coordinates
  541.    wt: 6:   4 graphing y=Asin(x c)
  542.    wt: 6:   3 graphing y=f(x c) plus K
  543.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  544.    wt: 6:   1 graphing y=f(x a)
  545.    wt: 6:   Triangle Angles Sum To 180 Degrees
  546.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  547.    wt: 6:   C Straight Lines Slope from Coordinates
  548.    wt: 6:   B Straight Line Slope Scaling Properties More
  549.    wt: 6:   A Straight Line Slope Scaling Properties
  550.    wt: 6:   14 Straight Lines Equations General Case
  551.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  552.    wt: 6:   12 Straight Lines Graphing mx plus b
  553.    wt: 6:   11 Straight Lines Graphing y=mx
  554.    wt: 6:   8 Straight Lines Equation for vertical
  555.    wt: 6:   7 Tangent Function is odd on this domain
  556.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  557.    wt: 6:   5 Tangent Function Graph
  558.    wt: 6:   4 Tangent Function Properties
  559.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  560.    wt: 6:   1 Straight Lines Slope Concept
  561.    wt: 6:   31 basic secant cosecant cotangent trig identities
  562.    wt: 6:   30 unit circle calculation of six trigonometric functions
  563.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  564.    wt: 6:   21 sine and cosine Half Angle Formulas
  565.    wt: 6:   20 sine and cosine Double Angle Formulas
  566.    wt: 6:   13 Graph of tangent function many periods
  567.    wt: 6:   12 Graph of tangent function for one period
  568.    wt: 6:   11 tangent function undefined when terminal side vertical
  569.    wt: 6:   9 Graphs of sine and cosine over one period
  570.    wt: 6:   8 period of tangent function
  571.    wt: 6:   7 period of sine and cosine
  572.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  573.    wt: 6:   2 Quadrant I reference Angles
  574.    wt: 6:   1 Unit Points Reflections Rotations
  575.    wt: 6:   21 Logarithms Powers and Exponentials
  576.    wt: 6:   19 N th Roots of Unity
  577.    wt: 6:   18 Sixth Roots of Unity
  578.    wt: 6:   17 Cube Roots of unity
  579.    wt: 6:   16 References and Originality Question
  580.    wt: 6:   15 Pythagorean Theorem Converse
  581.    wt: 6:   14 Law of cosines
  582.    wt: 6:   13 Trig Formulas for dot and cross Products
  583.    wt: 6:   12 cis formulas for sine cosines and tangent
  584.    wt: 6:   11 sine and cosine double triple angle formulas
  585.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  586.    wt: 6:   12 Triangles Similarity More Problems
  587.    wt: 6:   11 Triangle Similarity Missing Side Problem
  588.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  589.    wt: 6:   2 Similarity By Design
  590.    wt: 6:   1 Early Concept of Like or Similar Shapes
  591.    wt: 6:   Four Simple Exercises
  592.    wt: 6:   12 Links Lessons elsewhere
  593.    wt: 6:   11 A Partial Summary
  594.    wt: 6:   13 Pythagorean spatial distance formulas
  595.    wt: 6:   12 Spatial Coordinates
  596.    wt: 6:   11 Triangle Inequality
  597.    wt: 6:   PS H Distributive Law For Complex Numbers
  598.    wt: 6:   PS G Rotation Distributes over Addition
  599.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  600.    wt: 6:   PS E Multiplication with Polar Coordinates
  601.    wt: 6:   PS D Addition with Cartesian Coordinates
  602.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  603.    wt: 6:   PS B Parallelogram Construction Methods
  604.    wt: 6:   PS A Kite Construction Methods
  605.    wt: 6:   21 Parallelograms
  606.    wt: 6:   19 Right Triangle Similarity
  607.    wt: 6:   18 Triangle Similarity Take 1
  608.    wt: 6:   17 Right Bisectors of Triangle Sides
  609.    wt: 6:   16 Angles Subtended By Chords and Diameters
  610.    wt: 6:   14 Parallel Lines Postulate
  611.    wt: 6:   13 Angle Side Angle Failure
  612.    wt: 6:   12 Side Angle Side Failure
  613.    wt: 6:   11 Triangle Construction Fails
  614.    wt: 6:   Simple Exercises
  615.    wt: 6:   About Folder Contents
  616.    wt: 6:   4 Greater More Less Than Signs in General
  617.    wt: 6:   3 Comparison of Negative Numbers
  618.    wt: 6:   2 More and Less Than with Unlike Signs
  619.    wt: 6:   1 More and Less Than for Counts and Measures
  620.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  621.    wt: 6:   6 GCD from Prime
  622.    wt: 6:   5 Common Divisors 60 45 via Prime
  623.    wt: 6:   4 LCM of 8 and 10 via Prime
  624.    wt: 6:   1 Least Common Multiples LCM Introduction
  625.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  626.    wt: 6:   4 Counting with Trees Product Rule Take I
  627.    wt: 6:   3 Counting with Tables and Trees II
  628.    wt: 6:   2 Counting with Tables and Trees I
  629.    wt: 6:   1 Counting and Counting Methods I
  630.    wt: 6:   11 What are real lengths and numbers
  631.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  632.    wt: 6:   D Remainders Modulo 11 Pair Rule
  633.    wt: 6:   C Divisibility by 11 Integer Recognition Method
  634.    wt: 6:   B Integer Long Division Multiple Choices
  635.    wt: 6:   A Associative Law Theorectical Note
  636.    wt: 6:   13 Subtraction with Additive Inverse
  637.    wt: 6:   12 Adding Integers More Examples
  638.    wt: 6:   11 Adding Integers Formulas and Examples
  639.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  640.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  641.    wt: 6:   23 Remainder Arithmetic Modulo 2
  642.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  643.    wt: 6:   21 Remainder Arithmetic Modulo 3
  644.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  645.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  646.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  647.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  648.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  649.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  650.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  651.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  652.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  653.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  654.    wt: 6:   5 Remainder Arithmetic Modulo 5
  655.    wt: 6:   19 video Prime Factorization Unique
  656.    wt: 6:   18 video Count Factors given Prime Factorization
  657.    wt: 6:   17 Identify and Count Factors using Primes
  658.    wt: 6:   14 video Factors of 24 Take II
  659.    wt: 6:   13 video Factors of 24 using prime
  660.    wt: 6:   12 LCD GCD and LCM using Primes
  661.    wt: 6:   11 Efficient Square Rule Use
  662.    wt: 6:   11 Place Value SI Standard International way
  663.    wt: 6:   A Related lessons in Volume 3
  664.    wt: 6:   A1. Introduction
  665.    wt: 6:   index
  666.    wt: 6:   Chapter 20 Vectors and Complex Numbers
  667.    wt: 6:   Chapter 10 Slopes and Units
  668.    wt: 6:   Chapter 26 What is in chapters 27 to 31
  669.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  670.    wt: 6:   Chapter 8 Three Skills For Algebra
  671.    wt: 6:   Chapter 7 Prep for Calculus Arithmetic Exercises
  672.    wt: 6:   Chapter 6 Change of Language
  673.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  674.    wt: 6:   Chapter 4 Longer Chains of Reason
  675.    wt: 6:   Chapter 3 Chains of Reason
  676.    wt: 6:   Chapter 2 Implication Rules Forwards and Backwards
  677.    wt: 6:   Foreword
  678.    wt: 6:   Chapter 10 Transition
  679.    wt: 6:   Chapter 6 Rule Based Reason in Mathematics
  680.    wt: 6:   Chapter 2 For and Against Mathematics
  681.    wt: 6:   Chapter 1 Introduction
  682.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  683.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  684.    wt: 6:   R Why Learn Mathematics Skills
  685.    wt: 6:   O On Learning Mathematics and Science
  686.    wt: 6:   N Mathematics Prepare for College Studies
  687.    wt: 6:   J. More on written work and showing skill
  688.    wt: 6:   I. Logic and language skills
  689.    wt: 6:   H Jigsaw puzzles and problem solving
  690.    wt: 6:   G. Written work formats for developing and showing skill
  691.    wt: 6:   F. The student teacher tutor feedback loop
  692.    wt: 6:   E. When and how to correct errors
  693.    wt: 6:   D. Check work a must with a caution
  694.    wt: 6:   C. Domino effect of being careful
  695.    wt: 6:   B. Domino effect of errors
  696.    wt: 6:   A. Skill has to be seen to believed
  697.    wt: 5:   why bother
  698.    wt: 5:   which way to go
  699.    wt: 5:   three goals to set for students
  700.    wt: 5:   Teach the teachers plus goals
  701.    wt: 5:   permissions for teachers
  702.    wt: 5:   activities for students
  703.    wt: 5:   site origins
  704.    wt: 5:   site eurekas
  705.    wt: 5:   About site lesson plans
  706.    wt: 5:   key notes and themes
  707.    wt: 5:   what should be learnt and When
  708.    wt: 5:   Education Reform Inconsistencies
  709.    wt: 5:   Secondary Three Mathematics
  710.    wt: 5:   talk the algebra talk
  711.    wt: 5:   three difficulties
  712.    wt: 5:   teaching tips
  713.    wt: 5:   geometric implications for algebra
  714.    wt: 5:   teaching tutoring algebraic reason
  715.    wt: 5:   standards for course material
  716.    wt: 5:   Operational Viewpoint to Value
  717.    wt: 5:   Different Kinds of Reasoning in maths
  718.    wt: 5:   cultivating intelligence
  719.    wt: 5:   Prequel In For A Penny In For A Pound
  720.    wt: 5:   education an empirical art
  721.    wt: 5:   problemes responses
  722.    wt: 5:   4 Energy Power Heat09
  723.    wt: 5:   3 Energy Power Heat08
  724.    wt: 5:   2 Energy Power Heat07
  725.    wt: 5:   1 Energy Power Heat06
  726.    wt: 5:   E Energy Power05
  727.    wt: 5:   D Energy Power04
  728.    wt: 5:   C Energy Power03
  729.    wt: 5:   B Energy Power02
  730.    wt: 5:   A Energy Power01
  731.    wt: 5:   1 Conductance Resistance Duality01
  732.    wt: 5:   F Wire Resistance Calculation04
  733.    wt: 5:   E Wire Resistance Calculation03
  734.    wt: 5:   D Wire Resistance Calculation02
  735.    wt: 5:   C Wire Resistance Calculation01
  736.    wt: 5:   B Wire Resistance Qualitative02
  737.    wt: 5:   A Wire Resistance Qualitative01
  738.    wt: 5:   2 Unlike resistors in parallel01
  739.    wt: 5:   1 Like resistors in series
  740.    wt: 5:   F Unlike Resistors in Series
  741.    wt: 5:   E Kirchoffs Second Law
  742.    wt: 5:   D Kirchoff First Law
  743.    wt: 5:   A Circuit Elements
  744.    wt: 5:   Home Tutoring and Home Schooling
  745.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  746.    wt: 5:   24 Standards For Skill Develoment Take II
  747.    wt: 5:   24 Standards For Skill Develoment
  748.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take IV
  749.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take III
  750.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take II
  751.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  752.    wt: 5:   17 Math Booklets for children and young teenagers
  753.    wt: 5:   15 Counting For Parents
  754.    wt: 5:   14 Multiplication and Times Tables
  755.    wt: 5:   13 Addition and Addition Tables
  756.    wt: 5:   11 Help and Defend Your Child or Teens Education
  757.    wt: 5:   16 cotangent function Definition Graph and Inverse
  758.    wt: 5:   15 cosecant function Definition Graph and Inverse
  759.    wt: 5:   8 Radian Measures of Common Angles
  760.    wt: 5:   7 Radian Measures in special Triangles
  761.    wt: 5:   6 Radian Measure to Degrees
  762.    wt: 5:   5 Degrees to Radian Measure
  763.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  764.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  765.    wt: 5:   2 Radian Measure Numerical Value of one degree
  766.    wt: 5:   15 Dot and Cross Product
  767.    wt: 5:   14 Why Scalar Multiplication Distributes Physical Argument
  768.    wt: 5:   13 Velocity Vectors in Physics
  769.    wt: 5:   11 Component Method
  770.    wt: 5:   Parallel Lines and Parallel Transversals
  771.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  772.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  773.    wt: 5:   Parallel Lines and Interior Angles
  774.    wt: 5:   35 sines and cosines of 2A 3A 4A 5A
  775.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  776.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  777.    wt: 5:   32 seven rows of pascals triangle
  778.    wt: 5:   29 secant cosecant and cotangent for acute angles
  779.    wt: 5:   28 Expressing products of sines cosines as sums
  780.    wt: 5:   27 Logarithmic use of products of sines and cosines
  781.    wt: 5:   26 Formulas for products of sines and cosines
  782.    wt: 5:   25 tangent double angle formula Slope connection
  783.    wt: 5:   24 tangent Angle Difference Formula
  784.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  785.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  786.    wt: 5:   18 sum of sinusoidal waves as a single wave
  787.    wt: 5:   17G Pythagorean Theorem Converse
  788.    wt: 5:   17F Law of cosines
  789.    wt: 5:   17E Trig Formulas for dot and cross Products
  790.    wt: 5:   17D cis formulas for sine cosines and tangent
  791.    wt: 5:   17C sine and cosine double triple angle formulas
  792.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
  793.    wt: 5:   17A The complex number valued trig function cis
  794.    wt: 5:   16 Right Triangle Complementary Angle Relations
  795.    wt: 5:   15 sine cosine Complementary Angle Relations
  796.    wt: 5:   14 cosine even and sine and tangent are odd
  797.    wt: 5:   8 Similarity of Triangles and Polygons
  798.    wt: 5:   7 Translations Rotations Reflections Dilatations
  799.    wt: 5:   6 Geometric Diagrams in Class
  800.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  801.    wt: 5:   4 Similarity Definition with Coordinate
  802.    wt: 5:   3 Similarity by Design with coordinates
  803.    wt: 5:   About Folder Contents
  804.    wt: 5:   musings do not puiblish real numbers
  805.    wt: 5:   6 Three Notions of What is a Variable
  806.    wt: 5:   5 Talking about Numbers and Quantities
  807.    wt: 5:   4 A Brief Story of numbers and algebra
  808.    wt: 5:   3 Adding Words To Arithmetic
  809.    wt: 5:   2 What is a Variable
  810.    wt: 5:   1 Three Skills For Algebra
  811.    wt: 5:   1 Squares and Square Roots Introduction
  812.    wt: 5:   17 GCD LCM of 85 and 60 via Prime
  813.    wt: 5:   16 GCD and LCM of 650 225 via Prime
  814.    wt: 5:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  815.    wt: 5:   13 GCD from given Prime Factorization
  816.    wt: 5:   8 GCD from Euclidean Algorithm
  817.    wt: 5:   7 GCD and LCM from prime factorization
  818.    wt: 5:   LCM 60 45 Avoid List Method Use Prime
  819.    wt: 5:   2 Least Common Multiple LCM intro via list method
  820.    wt: 5:   7 Converting or Changing Units
  821.    wt: 5:   6 Simplification of Fractions with Units
  822.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  823.    wt: 5:   4 Fractions with Units
  824.    wt: 5:   3 Multiplying Units and Numbers
  825.    wt: 5:   2 Equality and Units
  826.    wt: 5:   1 Addition and Subtraction with Units
  827.    wt: 5:   20 Dividing Fractions the Why
  828.    wt: 5:   17 Efficient Ways to Add and Subtract
  829.    wt: 5:   16 Addition Subtraction Comparision Compared
  830.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  831.    wt: 5:   14 Adding and Subtracting with Like Denominators
  832.    wt: 5:   13 Fraction Comparison Algebraic View
  833.    wt: 5:   12 Fraction Comparison
  834.    wt: 5:   11 Simplification an Algebraic View
  835.    wt: 5:   9 Improper Fractions and Mixed Numbers
  836.    wt: 5:   8 Numerals Fractionals Quantals Take II
  837.    wt: 5:   7 Numerals Fractionals Quantals
  838.    wt: 5:   6 Multiplication Algebraically Take II
  839.    wt: 5:   5 Equivalent Fractions
  840.    wt: 5:   4 Fraction Multiplication
  841.    wt: 5:   3 Unit fraction of a fraction
  842.    wt: 5:   2 Unit Fraction Multiplication
  843.    wt: 5:   1 What is a fraction Take II
  844.    wt: 5:   1 What is a fraction
  845.    wt: 5:   26 Divisibility by 2 3 5 Example
  846.    wt: 5:   The 20 Times Table
  847.    wt: 5:   About folder contents
  848.    wt: 5:   G.6 Bounded Derivatives implies Lipshitz Continuity
  849.    wt: 5:   F.2 Closed Range Theorem
  850.    wt: 5:   F.1 What Functions are Continuous
  851.    wt: 5:   E2 Algebraic Properties of Limits
  852.    wt: 5:   E1 Error Control Inequalities
  853.    wt: 5:   D2 Limits of Monotone Sequences
  854.    wt: 5:   D1 Sets and Sequences GLBs and LGBs
  855.    wt: 5:   C Triangle Inequalities
  856.    wt: 5:   B3 Bolzano Weierstrass Theorem
  857.    wt: 5:   B1 Pigeon Hole Principles from combinatorics
  858.    wt: 5:   Postscript Pythagorean Theorem yet another proof
  859.    wt: 5:   Chapter 9 About First Courses in Calculus
  860.    wt: 5:   Chapter 8. Slope Interpretation
  861.    wt: 5:   Chapter 7 Slopes and Velocity
  862.    wt: 5:   Chapter 6. Slopes and Vertical Shifts
  863.    wt: 5:   Chapter 5. Slope Sign Tests
  864.    wt: 5:   Chapter 4. More Slope Sign Analysis
  865.    wt: 5:   Chapter 3. Slope Sign Analysis
  866.    wt: 5:   Chapter 2. Slopes and Ski Trails
  867.    wt: 5:   Fall 1983 Calculus Appetizer
  868.    wt: 5:   Foreword
  869.    wt: 5:   Postscript More on Better Performance
  870.    wt: 5:   Postscript For Better Performance
  871.    wt: 5:   Appendix E. How To Study Mathematics and Why
  872.    wt: 5:   Chapter 31 Direct and Indirect Reason
  873.    wt: 5:   Chapter 29 Contrapositive and Vacuously True Implications
  874.    wt: 5:   Chapter 28 Occurrence Tables
  875.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
  876.    wt: 5:   Chapter 25. Mathematical Induction Examples
  877.    wt: 5:   Chapter 25. Mathematical Induction Examples
  878.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  879.    wt: 5:   Chapter 23. Notation For Sums
  880.    wt: 5:   Chapter 22. Geometric Sums and Sequences
  881.    wt: 5:   Chapter 21. Third Reading Guide
  882.    wt: 5:   Chapter 19. Functions and Sets
  883.    wt: 5:   Chapter 18. Rules for Algebra
  884.    wt: 5:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  885.    wt: 5:   Chapter 16. Painless Theorem Proving
  886.    wt: 5:   Chapter 15. Solving Linear Equations
  887.    wt: 5:   Chapter 14. Forward and Backward Use of a Formula
  888.    wt: 5:   Chapter 13. Second Reading Guide
  889.    wt: 5:   Chapter 12. Shorthand Usage Guide
  890.    wt: 5:   Chapter 11. Why Shorthand
  891.    wt: 5:   Chapter 9 The Two Ends
  892.    wt: 5:   Chapter 8 Modern Instruction
  893.    wt: 5:   Chapter 7 Two Treatments of Geometry
  894.    wt: 5:   Chapter 5 Four References
  895.    wt: 5:   Chapter 4 Complex Numbers and Why Slopes
  896.    wt: 5:   Chapter 3 Algebra Difficulties
  897.    wt: 5:   Foreword
  898.    wt: 5:   Chapter 20 Shorthand Symbols as Pronouns
  899.    wt: 5:   Chapter 19 What is in chapters 20 to 24
  900.    wt: 5:   Chapter 10 Responsibility
  901.    wt: 5:   Chapter 3 What is in chapters 4 to 8
  902.    wt: 5:   Chapter 1 Introduction
  903.    wt: 5:   S Adding words to algebra
  904.    wt: 5:   Q How Logic and Proofs extend Show Work Practices
  905.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  906.    wt: 5:   M Words to extend arithmetic
  907.    wt: 5:   L Skills with take home value
  908.    wt: 5:   N Improving Marks on Tests and Finals
  909.    wt: 5:   H more Routine to non routine problem solving
  910.    wt: 5:   Helping the Blind in Logic and Mathematics
  911.    wt: 5:   Multiple Ways to Improve Mathematics Skill Development
  912.    wt: 5:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  913.    wt: 5:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  914.    wt: 5:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  915.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  916.    wt: 5:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  917.    wt: 5:   Which Way To Go
  918.    wt: 4:   modern education
  919.    wt: 4:   learning takes time
  920.    wt: 4:   grouping students according to ability
  921.    wt: 4:   five decades make a difference
  922.    wt: 4:   Maps Plans Drawings
  923.    wt: 4:   how letters appear
  924.    wt: 4:   What to Tell Students
  925.    wt: 4:   Lessening Algebra Difficulties
  926.    wt: 4:   the trouble with algebra
  927.    wt: 4:   formal or informal peer review
  928.    wt: 4:   Theory of Knowledge
  929.    wt: 4:   3 Like resistors in parallel
  930.    wt: 4:   17 tangent function angle sum formulas
  931.    wt: 4:   5 Square Roots with primes more still
  932.    wt: 4:   4 Square Roots with primes more
  933.    wt: 4:   3 Properties of Square Roots with example
  934.    wt: 4:   2 Square Roots with Prime
  935.    wt: 4:   22 Complex Compound Fractions
  936.    wt: 4:   21 Working With Signs
  937.    wt: 4:   21 Reciprocals for Fractions and Wholes
  938.    wt: 4:   19 Dividing Fractions How TO
  939.    wt: 4:   18 Efficient Ways to Multiply
  940.    wt: 4:   The 12 Times Table Visually
  941.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  942.    wt: 4:   .H2 Lipshitz Conditions Integration Calculus Reform
  943.    wt: 4:   .H1 First Fundamental Theorem of Calculus
  944.    wt: 4:   G.5 Motions With Bounded Velocities
  945.    wt: 4:   G.4 Lipschitz Continuity implies EquiContinuity
  946.    wt: 4:   G.3 Constant Difference Theorem Proof
  947.    wt: 4:   G.2 Differentiable Functions Mean Value Theorem
  948.    wt: 4:   G.1 Differentiable Functions Rolles Theorem
  949.    wt: 4:   F.5b Extreme Value Theorem
  950.    wt: 4:   F.5a Equicontinuity Theorems
  951.    wt: 4:   F.4 Finite Covering Theorem
  952.    wt: 4:   F.3 Intermediate Value Theorem
  953.    wt: 4:   PostScript For and Against Decimal Perspectives
  954.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  955.    wt: 4:   Chapter 23 Links To Trigonometry
  956.    wt: 4:   Chapter 22 Complex Numbers
  957.    wt: 4:   Chapter 21 Arrow Addition
  958.    wt: 4:   Chapter 19. Exponentials and Natural Logarithms
  959.    wt: 4:   Chapter 18. Slopes Areas Integration
  960.    wt: 4:   Chapter 17. Area Approximation
  961.    wt: 4:   Chapter 16. Velocity Approximation
  962.    wt: 4:   Chapter 15. Slope Approximation
  963.    wt: 4:   Chapter 15. Algebraic Evaluation of Limits
  964.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  965.    wt: 4:   Chapter 13. Acceleration
  966.    wt: 4:   Chapter 12. Units and Slopes
  967.    wt: 4:   Chapter 11. Graphing Slope versus Position
  968.    wt: 4:   Appendix D. What to do in School and Why
  969.    wt: 4:   Appendix C. How to Read
  970.    wt: 4:   Appendix B. How To Learn
  971.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  972.    wt: 4:   Postscript What is a Variable
  973.    wt: 4:   Solutions For Arithmetic Exercises
  974.    wt: 4:   Postscript B Mathematics Education References
  975.    wt: 4:   Chapter 12 Four Phases
  976.    wt: 4:   Chapter 11 Elementary Instruction
  977.    wt: 4:   Chapter 14 Deductive and Empirical Views of Mathematics
  978.    wt: 4:   Chapter 8 Change of Language
  979.    wt: 4:   Chapter 7 Longer Chains of Reason
  980.    wt: 4:   Chapter 6 Chains of Reason
  981.    wt: 4:   Chapter 5 Deception
  982.    wt: 4:   Chapter 4 Implication Rules Forwards and Backwards
  983.    wt: 4:   Chapter 2 Skill Development
  984.    wt: 4:   Foreword
  985.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  986.    wt: 4:   Implementation Notes
  987.    wt: 4:   More Algebra and Slope based Calculus Preview
  988.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  989.    wt: 4:   Systematic Algebra Skill Development Missing Links
  990.    wt: 4:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  991.    wt: 4:   Montreal Basic and Advanced Mathematics Tutoring
  992.    wt: 3:   Quick history of numbers and algebra
  993.    wt: 3:   Exact Arithmetic Wholes and Fractions
  994.    wt: 3:   Formula Evaluation how to show work
  995.    wt: 3:   Expression Evaluation how to show work
  996.    wt: 3:   Annotated Links to Material Elsehwere
  997.    wt: 3:   Postscript A Three Remarks
  998.    wt: 3:   Chapter 24 Direct and Indirect Reason
  999.    wt: 3:   Chapter 23 Truth Tables
  1000.    wt: 3:   Chapter 22 Contrapositive and Vacuously True Implications
  1001.    wt: 3:   Chapter 21 Occurrence Tables
  1002.    wt: 3:   Chapter 18 Sense and Knowledge
  1003.    wt: 3:   Chapter 17 Objective Ways Trial and Error Discovery
  1004.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  1005.    wt: 3:   Chapter 15 Objective Processes
  1006.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1007.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  1008.    wt: 3:   Chapter 11 Accidental Patterns
  1009.    wt: 3:   Three Remarks
  1010.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  1011.    wt: 3:   Site Reviews
  1012.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  1013.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  1014.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  1015.    wt: 2:   Postscript C Consistency as a Tool for Reason
  1016.    wt: 2:   Postscript B More on Story Telling and Reason
  1017.    wt: 2:   Postscript A Story Telling
  1018.    wt: 2:   Road Safety Questions
  1019.    wt: 1:   arithmetic videos Real Player Format
  1020.    wt: 14:   chapitre 01 00 Introduction
  1021.    wt: 13:   chapitre 07 00 Des chaines plus longues de la raison
  1022.    wt: 13:   chapitre 06 00 Chaines de la raison
  1023.    wt: 13:   chapitre 05 00 Deception
  1024.    wt: 13:   chapitre 04 00 Les regles d implication
  1025.    wt: 13:   chapitre 02 00 La Communication des idees
  1026.    wt: 12:   Skills Chapter 0 Introduction
  1027.    wt: 12:   chapitre 12 00 les iles et division
  1028.    wt: 12:   chapitre 07 01 principle D induction mathematique
  1029.    wt: 12:   chapitre 04 10 Etapes pour une meilleur raison
  1030.    wt: 12:   chapitre 04 09 Regles accidentelles
  1031.    wt: 12:   chapitre 04 08 Limitations et benefices
  1032.    wt: 12:   chapitre 04 07 RepetablesEtReproductibles
  1033.    wt: 12:   chapitre 04 06 engagements
  1034.    wt: 12:   chapitre 04 05 Implication versus suggestion
  1035.    wt: 12:   chapitre 04 04 Parlons de la logique
  1036.    wt: 12:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  1037.    wt: 12:   chapitre 04 02 Deuxieme enigme
  1038.    wt: 12:   chapitre 04 01 Premiere enigme
  1039.    wt: 12:   5 Algebraic Solutions Introduction
  1040.    wt: 12:   10 One Example
  1041.    wt: 12:   010 Repeated Addition of Time Intervals
  1042.    wt: 11:   chapitre 03 A Propos Des Prochains Chapitre
  1043.    wt: 11:   5 Gaussian Elimination for 3 unknowns 2nd example
  1044.    wt: 11:   4 GE III Animated Examples
  1045.    wt: 11:   3 Gaussian Elimination 3 unknowns first example
  1046.    wt: 11:   3 GE III Equation Addition and Multiplication
  1047.    wt: 11:   2 GE II Comparison
  1048.    wt: 11:   1 GE Substitution four examples
  1049.    wt: 11:   4 Solving a triangular system exercise
  1050.    wt: 11:   3 Solving triangular system example
  1051.    wt: 11:   2 Essentially one exercises three with solution
  1052.    wt: 11:   1 Essentially One Unknown
  1053.    wt: 11:   6 Algebraic Solution Example
  1054.    wt: 11:   4 Four Examples Fractional Coefficients
  1055.    wt: 11:   3 Four Examples
  1056.    wt: 11:   2 Three Examples
  1057.    wt: 11:   1 Proper Equal Sign Usage
  1058.    wt: 11:   9 Three Examples
  1059.    wt: 11:   8 One Example
  1060.    wt: 11:   7 Two Examples
  1061.    wt: 11:   6 Three Examples
  1062.    wt: 11:   5 Three Examples
  1063.    wt: 11:   4 Two Examples
  1064.    wt: 11:   3 Two Examples
  1065.    wt: 11:   2 Three Examples
  1066.    wt: 11:   10 Division by Five Long and Short Ways
  1067.    wt: 11:   016 Numbering Occidental Calendar Days
  1068.    wt: 11:   015 School and work day counting tables
  1069.    wt: 11:   014 Counting Days with Calendars
  1070.    wt: 11:   013 Travel Time Tables
  1071.    wt: 11:   012 Division of Time Intervals by Time Intervals
  1072.    wt: 11:   011 Division of Time Intervals By Numbers
  1073.    wt: 11:   9 Comparison and Subtraction of Time Intervals
  1074.    wt: 11:   8 Addition of Time Intervals via subtotaling
  1075.    wt: 11:   7 Addition of Time Intervals
  1076.    wt: 11:   6 How long is a million seconds
  1077.    wt: 11:   5 Conversion Arithmetic
  1078.    wt: 11:   4 Mixing and Changing Units of Time
  1079.    wt: 11:   3 Units and Lengths of Time
  1080.    wt: 11:   2 Time and Date Matters in School
  1081.    wt: 11:   1 Intro of Kids To Time Date Skills
  1082.    wt: 10:   E LAMP Introduction Modern Mathematics
  1083.    wt: 10:   C LAMP Introduction Culture in Mathematics Education
  1084.    wt: 10:   Applied Maths Program14092009 POMME variant
  1085.    wt: 10:   Skill Development Notes
  1086.    wt: 10:   7 Compound Interest Formula Introduction
  1087.    wt: 10:   9 Why Long Division Works Take II
  1088.    wt: 10:   8 Correcting the Mistake
  1089.    wt: 10:   7 Long Divison Mistake Catching
  1090.    wt: 10:   6 Why Decimal Long Division Methods Works Take I
  1091.    wt: 10:   5 Long Division Include Zeroes or not
  1092.    wt: 10:   4 Division with 2 Digit Divsors
  1093.    wt: 10:   3 Division Single Digit Divisor Example
  1094.    wt: 10:   2 Division with Single Digit Divisors
  1095.    wt: 10:   1 Divsion Physical Examples
  1096.    wt: 10:   D Decimal Multiplication Methods Derived
  1097.    wt: 10:   C Counting Areas with Powers of Ten
  1098.    wt: 10:   B Powers of Ten
  1099.    wt: 10:   A Elementary Basis for Multiplication Methods
  1100.    wt: 10:   6 Multiplication Commutes Order Not Important
  1101.    wt: 10:   5 Decimal Fraction Multiplication
  1102.    wt: 10:   4 Two and Three Digit Multipliers
  1103.    wt: 10:   3 More One Digit Multipliers
  1104.    wt: 10:   2 One Digit Multipliers
  1105.    wt: 10:   1 Why 3 times 5 gives 15
  1106.    wt: 10:   9 22 Minute Subtraction Review Video
  1107.    wt: 10:   8 Subtraction with Units of Measure
  1108.    wt: 10:   7 Subtraction for Decimal Fractions with Exercises
  1109.    wt: 10:   6 Subtraction with Conversion Example with Exercises
  1110.    wt: 10:   5 A Tip for Efficent Subtraction
  1111.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
  1112.    wt: 10:   3 Harder Cases Convert to Compare and Subtract
  1113.    wt: 10:   2 Subtraction Easy Case Examples
  1114.    wt: 10:   1 Comparison and Subtraction Easy Direct Cases
  1115.    wt: 10:   8 What skills and work habits to require
  1116.    wt: 10:   7 Adding decimal fractions using decimal point
  1117.    wt: 10:   6. Counting and adding units and mixed units
  1118.    wt: 10:   5. How to add decimals C. Examples
  1119.    wt: 10:   4. How to add with decimals B with conversions
  1120.    wt: 10:   3. How to add with decimals A sans conversions
  1121.    wt: 10:   2 Decimal Counting Practices
  1122.    wt: 10:   1. Explaining Addition Table
  1123.    wt: 10:   Summary
  1124.    wt: 10:   18 Chain Rule Introduction
  1125.    wt: 10:   1 Numerical introduction

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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.

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