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

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

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

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

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

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

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

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

85 matches:

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

Web Page Search

1075 matches:

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

Extended Search

1137 matches:

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

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.