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

Logic mastery strengthens comprehension and improve home, work & study habits.
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

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

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

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

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

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

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

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85 matches:

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

Web Page Search

1114 matches:

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

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

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicylce?

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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