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

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

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

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

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

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

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

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85 matches:

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

Web Page Search

1101 matches:

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

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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