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

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252 matches:

  1.    wt: 3:   Skills Chapter 5 Calculus
  2.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  3.    wt: 2:   Applied Maths Program14092009 POMME variant
  4.    wt: 2:   Leaner mathematics curriculum
  5.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  6.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  7.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  8.    wt: 2:   12 From Applied To Pure Mathematics
  9.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  10.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  11.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  12.    wt: 2:   5 Common Divisors 60 45 via Prime
  13.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  14.    wt: 2:   5 Remainder Arithmetic Modulo 5
  15.    wt: 2:   1 Why 3 times 5 gives 15
  16.    wt: 2:   Chapter 15. Slope Approximation
  17.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  18.    wt: 2:   Chapter 9 About First Courses in Calculus
  19.    wt: 2:   Chapter 5. Slope Sign Tests
  20.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  21.    wt: 2:   Chapter 25. Mathematical Induction Examples
  22.    wt: 2:   Chapter 25. Mathematical Induction Examples
  23.    wt: 2:   Chapter 15. Solving Linear Equations
  24.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  25.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  26.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  27.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  28.    wt: 2:   Chapter 5 Four References
  29.    wt: 2:   Chapter 2 For and Against Mathematics
  30.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  31.    wt: 2:   Chapter 15 Objective Processes
  32.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  33.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  34.    wt: 2:   Chapter 5 Deception
  35.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  36.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  37.    wt: 1:   E LAMP Introduction Modern Mathematics
  38.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  39.    wt: 1:   Skills Chapter 4 Logic
  40.    wt: 1:   Skills Chapter 3 Algebra
  41.    wt: 1:   Skills Chapter 2 Geometry
  42.    wt: 1:   Skills Chapter 1 Arithmetic
  43.    wt: 1:   Skills Chapter 0 Introduction
  44.    wt: 1:   11 pure mathematics
  45.    wt: 1:   5 logarithms and exponentials etc
  46.    wt: 1:   3 Euclidean Geometry Leanly
  47.    wt: 1:   Math Ed if it must be short make it lean effective
  48.    wt: 1:   Mathematics Education Professors
  49.    wt: 1:   mathematics in context
  50.    wt: 1:   Secondary Three Mathematics
  51.    wt: 1:   Secondary Two Mathematics
  52.    wt: 1:   Secondary One Mathematics
  53.    wt: 1:   mathematics curriculum shifts
  54.    wt: 1:   three goals for Mathematics Education
  55.    wt: 1:   05 13 OldSiteEntrancePage
  56.    wt: 1:   04 29 New Mathematics Curriculum
  57.    wt: 1:   04 25 when to stop or suspend mathemat
  58.    wt: 1:   02 20 mathematics education references
  59.    wt: 1:   three aims for mathematics students
  60.    wt: 1:   mathematics instruction in general
  61.    wt: 1:   Education in mathematics science and technology
  62.    wt: 1:   three kinds of reason in mathematics
  63.    wt: 1:   need for a mixed mathematics curriculum
  64.    wt: 1:   words for mathematics instructor
  65.    wt: 1:   chapitre 05 00 Deception
  66.    wt: 1:   chapitre 04 05 Implication versus suggestion
  67.    wt: 1:   E Energy Power05
  68.    wt: 1:   22 Student Centered Highschool Mathematics
  69.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  70.    wt: 1:   18 Primary School Mathematics
  71.    wt: 1:   16 Secondary Mathematics Tips
  72.    wt: 1:   15 Counting For Parents
  73.    wt: 1:   12 Goals and Objectives For Mathematics
  74.    wt: 1:   5 Patience Please for Yourself and Your Charges
  75.    wt: 1:   Ages 4 plus to 5 plus
  76.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  77.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  78.    wt: 1:   15 Sign analysis of functions
  79.    wt: 1:   5 Function notation for geometric transformations
  80.    wt: 1:   4 Function notation in and beyond mathematics
  81.    wt: 1:   5 quadratics completing the square
  82.    wt: 1:   5 Natural Logarithm Calculator Exercises
  83.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  84.    wt: 1:   15 cosecant function Definition Graph and Inverse
  85.    wt: 1:   5 Swapping Coordinates is a reflection
  86.    wt: 1:   5 Degrees to Radian Measure
  87.    wt: 1:   15 Dot and Cross Product
  88.    wt: 1:   5 Head To Tail Arrow Addition
  89.    wt: 1:   5 Tangent Function Graph
  90.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  91.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  92.    wt: 1:   25 tangent double angle formula Slope connection
  93.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  94.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  95.    wt: 1:   15 sine cosine Complementary Angle Relations
  96.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  97.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  98.    wt: 1:   15 Pythagorean Theorem Converse
  99.    wt: 1:   5 An Easy Proof of the Distributive Law
  100.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  101.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  102.    wt: 1:   5 Algebraic View of Slopes
  103.    wt: 1:   5 Cartesian Addition and Translation
  104.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  105.    wt: 1:   5 Side Angle Side
  106.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  107.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  108.    wt: 1:   15 Head to Tails in place Addition Associative
  109.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  110.    wt: 1:   5 Distributive Law for Whole Numbers
  111.    wt: 1:   5 Areas of Rectangles Revisited
  112.    wt: 1:   5 Proportionality in Equivalent Fractions
  113.    wt: 1:   5 Triangle Area Formula Backwards
  114.    wt: 1:   5 Equality in Algebra
  115.    wt: 1:   5 Greater More Less Than Signs in General
  116.    wt: 1:   15 Real Number Division
  117.    wt: 1:   5 Rational Numbers More
  118.    wt: 1:   5 Independent versus Dependent Variables
  119.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  120.    wt: 1:   5 Algebraic Solutions Introduction
  121.    wt: 1:   5 Three Examples
  122.    wt: 1:   5 Box Volume Formula Example
  123.    wt: 1:   5 Product Builder Notation
  124.    wt: 1:   5 Talking about Numbers and Quantities
  125.    wt: 1:   5 Square Roots with primes more still
  126.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  127.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  128.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  129.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  130.    wt: 1:   5 lengths and signs of numbers
  131.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  132.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  133.    wt: 1:   5 Equivalent Fractions
  134.    wt: 1:   5 Zero Movement and Additive Inverses
  135.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  136.    wt: 1:   26 Divisibility by 2 3 5 Example
  137.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  138.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  139.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  140.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  141.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  142.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  143.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  144.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  145.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  146.    wt: 1:   15 video Factors of 20 using Prime Factorization
  147.    wt: 1:   5 Prime Factorization and a Square Rule
  148.    wt: 1:   5 Long Division Include Zeroes or not
  149.    wt: 1:   5 Decimal Fraction Multiplication
  150.    wt: 1:   5 A Tip for Efficent Subtraction
  151.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  152.    wt: 1:   5. How to add decimals C. Examples
  153.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  154.    wt: 1:   015 School and work day counting tables
  155.    wt: 1:   5 Conversion Arithmetic
  156.    wt: 1:   5 Area Under Curve Exercise
  157.    wt: 1:   25 Chain Rule Animated Examples Continued
  158.    wt: 1:   15 sine and cosine derivatives 3rd step
  159.    wt: 1:   5 Product Rule
  160.    wt: 1:   5 Jumps and absence of unlimited error control
  161.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  162.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  163.    wt: 1:   G.5 Motions With Bounded Velocities
  164.    wt: 1:   F.5b Extreme Value Theorem
  165.    wt: 1:   F.5a Equicontinuity Theorems
  166.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  167.    wt: 1:   Chapter 23 Links To Trigonometry
  168.    wt: 1:   Chapter 22 Complex Numbers
  169.    wt: 1:   Chapter 21 Arrow Addition
  170.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  171.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  172.    wt: 1:   Chapter 18. Slopes Areas Integration
  173.    wt: 1:   Chapter 17. Area Approximation
  174.    wt: 1:   Chapter 16. Velocity Approximation
  175.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  176.    wt: 1:   Chapter 13. Acceleration
  177.    wt: 1:   Chapter 12. Units and Slopes
  178.    wt: 1:   Chapter 11. Graphing Slope versus Position
  179.    wt: 1:   Chapter 10 Slopes and Units
  180.    wt: 1:   Chapter 8. Slope Interpretation
  181.    wt: 1:   Chapter 7 Slopes and Velocity
  182.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  183.    wt: 1:   Chapter 4. More Slope Sign Analysis
  184.    wt: 1:   Chapter 3. Slope Sign Analysis
  185.    wt: 1:   Chapter 2. Slopes and Ski Trails
  186.    wt: 1:   Chapter 1.Introduction
  187.    wt: 1:   Fall 1983 Calculus Appetizer
  188.    wt: 1:   Appendix E. How To Study Mathematics and Why
  189.    wt: 1:   Chapter 31 Direct and Indirect Reason
  190.    wt: 1:   Chapter 30 Truth Tables
  191.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  192.    wt: 1:   Chapter 28 Occurrence Tables
  193.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  194.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  195.    wt: 1:   Chapter 23. Notation For Sums
  196.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  197.    wt: 1:   Chapter 21. Third Reading Guide
  198.    wt: 1:   Chapter 20. Degrees and Radians
  199.    wt: 1:   Chapter 19. Functions and Sets
  200.    wt: 1:   Chapter 18. Rules for Algebra
  201.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  202.    wt: 1:   Chapter 16. Painless Theorem Proving
  203.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  204.    wt: 1:   Chapter 13. Second Reading Guide
  205.    wt: 1:   Chapter 12. Shorthand Usage Guide
  206.    wt: 1:   Chapter 11. Why Shorthand
  207.    wt: 1:   Chapter 10 Describing and Changing Calculations
  208.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  209.    wt: 1:   Chapter 8 Three Skills For Algebra
  210.    wt: 1:   Chapter 6 Change of Language
  211.    wt: 1:   Chapter 4 Longer Chains of Reason
  212.    wt: 1:   Chapter 3 Chains of Reason
  213.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  214.    wt: 1:   Postscript B Mathematics Education References
  215.    wt: 1:   Chapter 12 Four Phases
  216.    wt: 1:   Chapter 11 Elementary Instruction
  217.    wt: 1:   Chapter 10 Transition
  218.    wt: 1:   Chapter 9 The Two Ends
  219.    wt: 1:   Chapter 8 Modern Instruction
  220.    wt: 1:   Chapter 7 Two Treatments of Geometry
  221.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  222.    wt: 1:   Chapter 3 Algebra Difficulties
  223.    wt: 1:   Chapter 1 Introduction
  224.    wt: 1:   Chapter 24 Direct and Indirect Reason
  225.    wt: 1:   Chapter 23 Truth Tables
  226.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  227.    wt: 1:   Chapter 21 Occurrence Tables
  228.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  229.    wt: 1:   Chapter 18 Sense and Knowledge
  230.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  231.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  232.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  233.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  234.    wt: 1:   Chapter 11 Accidental Patterns
  235.    wt: 1:   Chapter 10 Responsibility
  236.    wt: 1:   Chapter 8 Change of Language
  237.    wt: 1:   Chapter 7 Longer Chains of Reason
  238.    wt: 1:   Chapter 6 Chains of Reason
  239.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  240.    wt: 1:   Chapter 2 Skill Development
  241.    wt: 1:   Chapter 1 Introduction
  242.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  243.    wt: 1:   R Why Learn Mathematics Skills
  244.    wt: 1:   O On Learning Mathematics and Science
  245.    wt: 1:   N Mathematics Prepare for College Studies
  246.    wt: 1:   Helping the Blind in Logic and Mathematics
  247.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  248.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  249.    wt: 1:   More Algebra and Slope based Calculus Preview
  250.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  251.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  252.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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

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Mathematics Skills For Ages 3 to 14

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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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70 Calculus Starter Lessons

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Logarithms-ax & m/nth roots
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What is a Variable
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