Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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  1.    wt: 6:   LAMP Lean Applied Mathematics Program/
  2.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  3.    wt: 4:   5 What is Similarity/
  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:   Secondary Mathematics A Practical Approach/
  76.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  77.    wt: 1:   Mathematics Skill Development Framework/

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262 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: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  4.    wt: 2:   Applied Maths Program14092009 POMME variant
  5.    wt: 2:   Leaner mathematics curriculum
  6.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  7.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  8.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  9.    wt: 2:   12 From Applied To Pure Mathematics
  10.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  11.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  12.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  13.    wt: 2:   5 Common Divisors 60 45 via Prime
  14.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  15.    wt: 2:   5 Remainder Arithmetic Modulo 5
  16.    wt: 2:   1 Why 3 times 5 gives 15
  17.    wt: 2:   Chapter 15. Slope Approximation
  18.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  19.    wt: 2:   Chapter 9 About First Courses in Calculus
  20.    wt: 2:   Chapter 5. Slope Sign Tests
  21.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  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:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  37.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  38.    wt: 1:   E LAMP Introduction Modern Mathematics
  39.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  40.    wt: 1:   Skills Chapter 4 Logic
  41.    wt: 1:   Skills Chapter 3 Algebra
  42.    wt: 1:   Skills Chapter 2 Geometry
  43.    wt: 1:   Skills Chapter 1 Arithmetic
  44.    wt: 1:   Skills Chapter 0 Introduction
  45.    wt: 1:   11 pure mathematics
  46.    wt: 1:   5 logarithms and exponentials etc
  47.    wt: 1:   3 Euclidean Geometry Leanly
  48.    wt: 1:   Math Ed if it must be short make it lean effective
  49.    wt: 1:   Mathematics Education Professors
  50.    wt: 1:   mathematics in context
  51.    wt: 1:   Secondary Three Mathematics
  52.    wt: 1:   Secondary Two Mathematics
  53.    wt: 1:   Secondary One Mathematics
  54.    wt: 1:   mathematics curriculum shifts
  55.    wt: 1:   three goals for Mathematics Education
  56.    wt: 1:   05 13 OldSiteEntrancePage
  57.    wt: 1:   04 29 New Mathematics Curriculum
  58.    wt: 1:   04 25 when to stop or suspend mathemat
  59.    wt: 1:   02 20 mathematics education references
  60.    wt: 1:   three aims for mathematics students
  61.    wt: 1:   mathematics instruction in general
  62.    wt: 1:   Education in mathematics science and technology
  63.    wt: 1:   three kinds of reason in mathematics
  64.    wt: 1:   need for a mixed mathematics curriculum
  65.    wt: 1:   words for mathematics instructor
  66.    wt: 1:   chapitre 05 00 Deception
  67.    wt: 1:   chapitre 04 05 Implication versus suggestion
  68.    wt: 1:   E Energy Power05
  69.    wt: 1:   22 Student Centered Highschool Mathematics
  70.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  71.    wt: 1:   18 Primary School Mathematics
  72.    wt: 1:   16 Secondary Mathematics Tips
  73.    wt: 1:   15 Counting For Parents
  74.    wt: 1:   12 Goals and Objectives For Mathematics
  75.    wt: 1:   5 Patience Please for Yourself and Your Charges
  76.    wt: 1:   Ages 4 plus to 5 plus
  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:   G.2 Lipshitz Conditions Integration Calculus Reform
  162.    wt: 1:   G.1 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:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  167.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  168.    wt: 1:   Chapter 23 Links To Trigonometry
  169.    wt: 1:   Chapter 22 Complex Numbers
  170.    wt: 1:   Chapter 21 Arrow Addition
  171.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  172.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  173.    wt: 1:   Chapter 18. Slopes Areas Integration
  174.    wt: 1:   Chapter 17. Area Approximation
  175.    wt: 1:   Chapter 16. Velocity Approximation
  176.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  177.    wt: 1:   Chapter 13. Acceleration
  178.    wt: 1:   Chapter 12. Units and Slopes
  179.    wt: 1:   Chapter 11. Graphing Slope versus Position
  180.    wt: 1:   Chapter 10 Slopes and Units
  181.    wt: 1:   Chapter 8. Slope Interpretation
  182.    wt: 1:   Chapter 7 Slopes and Velocity
  183.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  184.    wt: 1:   Chapter 4. More Slope Sign Analysis
  185.    wt: 1:   Chapter 3. Slope Sign Analysis
  186.    wt: 1:   Chapter 2. Slopes and Ski Trails
  187.    wt: 1:   Chapter 1.Introduction
  188.    wt: 1:   Fall 1983 Calculus Appetizer
  189.    wt: 1:   Appendix E. How To Study Mathematics and Why
  190.    wt: 1:   Chapter 31 Direct and Indirect Reason
  191.    wt: 1:   Chapter 30 Truth Tables
  192.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  193.    wt: 1:   Chapter 28 Occurrence Tables
  194.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  195.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  196.    wt: 1:   Chapter 23. Notation For Sums
  197.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  198.    wt: 1:   Chapter 21. Third Reading Guide
  199.    wt: 1:   Chapter 20. Degrees and Radians
  200.    wt: 1:   Chapter 19. Functions and Sets
  201.    wt: 1:   Chapter 18. Rules for Algebra
  202.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  203.    wt: 1:   Chapter 16. Painless Theorem Proving
  204.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  205.    wt: 1:   Chapter 13. Second Reading Guide
  206.    wt: 1:   Chapter 12. Shorthand Usage Guide
  207.    wt: 1:   Chapter 11. Why Shorthand
  208.    wt: 1:   Chapter 10 Describing and Changing Calculations
  209.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  210.    wt: 1:   Chapter 8 Three Skills For Algebra
  211.    wt: 1:   Chapter 6 Change of Language
  212.    wt: 1:   Chapter 4 Longer Chains of Reason
  213.    wt: 1:   Chapter 3 Chains of Reason
  214.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  215.    wt: 1:   Postscript B Mathematics Education References
  216.    wt: 1:   Chapter 12 Four Phases
  217.    wt: 1:   Chapter 11 Elementary Instruction
  218.    wt: 1:   Chapter 10 Transition
  219.    wt: 1:   Chapter 9 The Two Ends
  220.    wt: 1:   Chapter 8 Modern Instruction
  221.    wt: 1:   Chapter 7 Two Treatments of Geometry
  222.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  223.    wt: 1:   Chapter 3 Algebra Difficulties
  224.    wt: 1:   Chapter 1 Introduction
  225.    wt: 1:   Chapter 24 Direct and Indirect Reason
  226.    wt: 1:   Chapter 23 Truth Tables
  227.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  228.    wt: 1:   Chapter 21 Occurrence Tables
  229.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  230.    wt: 1:   Chapter 18 Sense and Knowledge
  231.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  232.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  233.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  234.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  235.    wt: 1:   Chapter 11 Accidental Patterns
  236.    wt: 1:   Chapter 10 Responsibility
  237.    wt: 1:   Chapter 8 Change of Language
  238.    wt: 1:   Chapter 7 Longer Chains of Reason
  239.    wt: 1:   Chapter 6 Chains of Reason
  240.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  241.    wt: 1:   Chapter 2 Skill Development
  242.    wt: 1:   Chapter 1 Introduction
  243.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  244.    wt: 1:   R Why Learn Mathematics Skills
  245.    wt: 1:   O On Learning Mathematics and Science
  246.    wt: 1:   N Mathematics Prepare for College Studies
  247.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  248.    wt: 1:   Chapter 8 Skipped Topics and Why
  249.    wt: 1:   Chapter 6 More Algebra and Geometry
  250.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  251.    wt: 1:   Chapter 3 Algebra Starter Lessons
  252.    wt: 1:   Chapter 2 Why Sets
  253.    wt: 1:   Chapter 1 Arithmetic
  254.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  255.    wt: 1:   Helping the Blind in Logic and Mathematics
  256.    wt: 1:   Mathematics Education References
  257.    wt: 1:   Mathematics Education References
  258.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  259.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  260.    wt: 1:   More Algebra and Slope based Calculus Preview
  261.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  262.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years

Extended Search

1046 matches:

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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