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

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

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

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

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

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

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

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86 matches:

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

Web Page Search

1111 matches:

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

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  1.    wt: 9:   Skills Chapter 4 Logic
  2.    wt: 9:   Skills Chapter 2 Geometry
  3.    wt: 9:   6 polynomials etc
  4.    wt: 9:   Teach the teachers plus goals
  5.    wt: 9:   modern education
  6.    wt: 9:   Education Reform Inconsistencies
  7.    wt: 9:   geometric implications for algebra
  8.    wt: 9:   Lessening Algebra Difficulties
  9.    wt: 9:   04 25 when to stop or suspend mathemat
  10.    wt: 9:   Operational Viewpoint to Value
  11.    wt: 9:   mathematics instruction in general
  12.    wt: 9:   Four ways to improve education reform
  13.    wt: 9:   Leaner mathematics curriculum
  14.    wt: 9:   Prequel In For A Penny In For A Pound
  15.    wt: 9:   fairness and inductive principles for instruction
  16.    wt: 9:   words for mathematics instructor
  17.    wt: 9:   chapitre 04 10 Etapes pour une meilleur raison
  18.    wt: 9:   chapitre 04 04 Parlons de la logique
  19.    wt: 9:   23 Modularized Skill Development Modularized Rigor Take IV
  20.    wt: 9:   23 Modularized Skill Development Modularized Rigor Take III
  21.    wt: 9:   23 Modularized Skill Development Modularized Rigor Take II
  22.    wt: 9:   25 Absolute Value greatest integer and saw tooth functions
  23.    wt: 9:   Quadratics in 10 steps
  24.    wt: 9:   11 Growth and Decay in Biology
  25.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  26.    wt: 9:   2 Square Root Simplification a prequel
  27.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
  28.    wt: 9:   3 Polynomials Multiplication Addition
  29.    wt: 9:   12 motivation for term arctan
  30.    wt: 9:   9 motivation for name arcsin
  31.    wt: 9:   3 Left Inverse of cosine arccos definition
  32.    wt: 9:   11 Component Method
  33.    wt: 9:   4 Tangent Function Properties
  34.    wt: 9:   1 Straight Lines Slope Concept
  35.    wt: 9:   17 tangent function angle sum formulas
  36.    wt: 9:   30 unit circle calculation of six trigonometric functions
  37.    wt: 9:   27 Logarithmic use of products of sines and cosines
  38.    wt: 9:   26 Formulas for products of sines and cosines
  39.    wt: 9:   12 Graph of tangent function for one period
  40.    wt: 9:   9 Graphs of sine and cosine over one period
  41.    wt: 9:   6 sines and cosines for reference angle 30 degrees
  42.    wt: 9:   5 sines and cosines for reference angle 60 degrees
  43.    wt: 9:   4 sines and cosines for reference angle 45 degrees
  44.    wt: 9:   3 sines and cosines for reference angle 90 degrees
  45.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  46.    wt: 9:   12 cis formulas for sine cosines and tangent
  47.    wt: 9:   11 sine and cosine double triple angle formulas
  48.    wt: 9:   10 sine cosine Angle Sum Formulas via cis
  49.    wt: 9:   6 Trigonometry Sines of Supplementary Angles
  50.    wt: 9:   4 Trigonometric Ratios For Two Special Triangles
  51.    wt: 9:   1 Angle Measurement with Degrees
  52.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  53.    wt: 9:   8 Mid Point Formula
  54.    wt: 9:   5 Algebraic View of Slopes
  55.    wt: 9:   2 point slope equation for a line
  56.    wt: 9:   1 Length Measurement
  57.    wt: 9:   26 More Less Greater Than Comparison
  58.    wt: 9:   21 Addition of Multiples of a Single Vector
  59.    wt: 9:   18 Geometrically Why Vector Addition Commutes
  60.    wt: 9:   17 Arrows Rotate to Reverse with Length Unchanged
  61.    wt: 9:   16 Collinear Horizontal Arrows Vectors
  62.    wt: 9:   12 Real Numbers Line Signed Coordinates
  63.    wt: 9:   7 Arithmetic with Infinite Decimal Expansions
  64.    wt: 9:   6 Infinite Decimals Ending in 9 repeating
  65.    wt: 9:   5 Fractions with Infinite Decimal Expansions
  66.    wt: 9:   3 Location of Point in Decimal Multiplication
  67.    wt: 9:   2 Counting Digits in Decimal Multiplication
  68.    wt: 9:   1 Fractions with Finite Decimal Expansions
  69.    wt: 9:   E Long Division Methods more
  70.    wt: 9:   8 Column Multiplication Methods in General
  71.    wt: 9:   5 Distributive Law for Whole Numbers
  72.    wt: 9:   3 Product Axioms Two Forms
  73.    wt: 9:   1 Equivalent Computation Rules
  74.    wt: 9:   12 Real Number Additive Inverses or Negatives
  75.    wt: 9:   8 Coordinates for Maps and Planes
  76.    wt: 9:   3 Geometric Formulas and Function Notation
  77.    wt: 9:   2 Computation Rules Evaluation
  78.    wt: 9:   1 GE Substitution four examples
  79.    wt: 9:   3 Solving triangular system example
  80.    wt: 9:   1 Proper Equal Sign Usage
  81.    wt: 9:   9 Sets in Probability and Statistics
  82.    wt: 9:   2 More and Less Than with Unlike Signs
  83.    wt: 9:   3 Properties of Square Roots with example
  84.    wt: 9:   7 negative and additive inverse
  85.    wt: 9:   11 Simplification an Algebraic View
  86.    wt: 9:   1 What is a fraction
  87.    wt: 9:   D Remainders Modulo 11 Pair Rule
  88.    wt: 9:   13 Subtraction with Additive Inverse
  89.    wt: 9:   19 video Prime Factorization Unique
  90.    wt: 9:   14 video Factors of 24 Take II
  91.    wt: 9:   8 video Prime Factorization upto 19
  92.    wt: 9:   7 Calculator Usage Notes and Cautions
  93.    wt: 9:   5 Prime Factorization and a Square Rule
  94.    wt: 9:   3 video Primes and Composites from 9 times table
  95.    wt: 9:   B Powers of Ten
  96.    wt: 9:   1 Why 3 times 5 gives 15
  97.    wt: 9:   10 Names for Big Numbers and Powers of Ten Expansion
  98.    wt: 9:   3 More on Groups of 3 Multi Digit Place Value
  99.    wt: 9:   1 Place Value in Three Digit Whole Numbers
  100.    wt: 9:   Practical Methods Ends and Values for Arithmetic
  101.    wt: 9:   015 School and work day counting tables
  102.    wt: 9:   012 Division of Time Intervals by Time Intervals
  103.    wt: 9:   7 Addition of Time Intervals
  104.    wt: 9:   2 Time and Date Matters in School
  105.    wt: 9:   Summary
  106.    wt: 9:   4 Second derivative test exercise example
  107.    wt: 9:   34 Derivative of exponential function
  108.    wt: 9:   31 Derivatives of inverse functions
  109.    wt: 9:   26 Chain Rule Recognising outer inner functions
  110.    wt: 9:   19 Chain Rule for linear functions
  111.    wt: 9:   17 Derivatives of quotients of sine and cosine
  112.    wt: 9:   8 Differentiation of polynomials
  113.    wt: 9:   3 Motivation for Limit Definition Take 2
  114.    wt: 9:   2 Motivation for Limit Definition Take 1
  115.    wt: 9:   G.5 Motions With Bounded Velocities
  116.    wt: 9:   G.3 Constant Difference Theorem Proof
  117.    wt: 9:   F.5a Equicontinuity Theorems
  118.    wt: 9:   F.2 Closed Range Theorem
  119.    wt: 9:   E2 Algebraic Properties of Limits
  120.    wt: 9:   C Triangle Inequalities
  121.    wt: 9:   B3 Bolzano Weierstrass Theorem
  122.    wt: 9:   A1. Introduction
  123.    wt: 9:   Chapter 13. Second Reading Guide
  124.    wt: 9:   Chapter 5 Islands and Divisions of Knowledge
  125.    wt: 9:   Chapter 20 Shorthand Symbols as Pronouns
  126.    wt: 9:   Chapter 18 Sense and Knowledge
  127.    wt: 9:   Chapter 7 Longer Chains of Reason
  128.    wt: 9:   Chapter 6 Chains of Reason
  129.    wt: 9:   7 Games and Activities for Instruction
  130.    wt: 9:   1 From Number Recognition and Counting to Arithmetic A
  131.    wt: 9:   Ends Values Methods For Skill Development Framework Prequel
  132.    wt: 9:   Systematic Algebra Skill Development Missing Links
  133.    wt: 9:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  134.    wt: 8:   three goals to set for students
  135.    wt: 8:   permissions for teachers
  136.    wt: 8:   activities for students
  137.    wt: 8:   links Education Resources online
  138.    wt: 8:   About site lesson plans
  139.    wt: 8:   teacher certification
  140.    wt: 8:   learning takes time
  141.    wt: 8:   mathematics in context
  142.    wt: 8:   how letters appear
  143.    wt: 8:   What to Tell Students
  144.    wt: 8:   mathematics curriculum shifts
  145.    wt: 8:   the trouble with algebra
  146.    wt: 8:   04 29 New Mathematics Curriculum
  147.    wt: 8:   02 21 words for teachers
  148.    wt: 8:   formal or informal peer review
  149.    wt: 8:   Motivation and Context Problem
  150.    wt: 8:   chapitre 12 00 les iles et division
  151.    wt: 8:   chapitre 04 09 Regles accidentelles
  152.    wt: 8:   chapitre 04 07 RepetablesEtReproductibles
  153.    wt: 8:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  154.    wt: 8:   chapitre 04 00 Les regles d implication
  155.    wt: 8:   27 Graduated Correction and Penalties for Young Offenders
  156.    wt: 8:   25 Mathematics Education Leaving A Good Impression
  157.    wt: 8:   23 Modularized Skill Development Modularized Rigor
  158.    wt: 8:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  159.    wt: 8:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  160.    wt: 8:   17 Function maxima minima and their location
  161.    wt: 8:   11 Function Domain Range Source and Targets
  162.    wt: 8:   4 Function notation in and beyond mathematics
  163.    wt: 8:   1 Polynomials Distributive Law
  164.    wt: 8:   8 arcsin left inverse of sine Graph
  165.    wt: 8:   7 arcsin left inverse of sine Definition
  166.    wt: 8:   6 Graph of arccos function
  167.    wt: 8:   4 possible motivation for term arccos
  168.    wt: 8:   28 Expressing products of sines cosines as sums
  169.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  170.    wt: 8:   17G Pythagorean Theorem Converse
  171.    wt: 8:   8 period of tangent function
  172.    wt: 8:   7 period of sine and cosine
  173.    wt: 8:   Unit Circle Development of Trigonometry
  174.    wt: 8:   21 Logarithms Powers and Exponentials
  175.    wt: 8:   9 The complex number valued trig function cis
  176.    wt: 8:   3 Addition Properties
  177.    wt: 8:   2 Complex Numbers made easier we hope
  178.    wt: 8:   Appetizer A Complex Number Applet
  179.    wt: 8:   3 Trigonometric Ratios sine and cosine
  180.    wt: 8:   Four Simple Exercises
  181.    wt: 8:   6 Intersection of lines by solving linear systems
  182.    wt: 8:   4 Equations for lines three forms
  183.    wt: 8:   musings do not puiblish real numbers
  184.    wt: 8:   A Signed Number Arithmetic Review
  185.    wt: 8:   4 Commutative Law Groups Counting Form
  186.    wt: 8:   7 Pythagorean Theorem Chinese Square Proof
  187.    wt: 8:   3 Linear Equation Literal Solution More
  188.    wt: 8:   2 Linear Equation Literal Solution
  189.    wt: 8:   1 Changing Calculations
  190.    wt: 8:   11 Real Number Addition
  191.    wt: 8:   7 Real Numbers as Line Cordinates
  192.    wt: 8:   2 Essentially one exercises three with solution
  193.    wt: 8:   3 Four Examples
  194.    wt: 8:   2 Three Examples
  195.    wt: 8:   Formula Usage Show Work Format
  196.    wt: 8:   11 Volume of Sphere
  197.    wt: 8:   9 Volume of Cone
  198.    wt: 8:   6 Three Notions of What is a Variable
  199.    wt: 8:   3 Adding Words To Arithmetic
  200.    wt: 8:   2 What is a Variable
  201.    wt: 8:   5 Square Roots with primes more still
  202.    wt: 8:   4 Square Roots with primes more
  203.    wt: 8:   2 Square Roots with Prime
  204.    wt: 8:   11 What are real lengths and numbers
  205.    wt: 8:   6 adding signed numbers
  206.    wt: 8:   4 signed coordinates for regions in space
  207.    wt: 8:   B Fractions and Two Term Ratios
  208.    wt: 8:   21 Reciprocals for Fractions and Wholes
  209.    wt: 8:   20 Dividing Fractions the Why
  210.    wt: 8:   19 Dividing Fractions How TO
  211.    wt: 8:   12 Fraction Comparison
  212.    wt: 8:   9 Improper Fractions and Mixed Numbers
  213.    wt: 8:   3 Unit fraction of a fraction
  214.    wt: 8:   A Associative Law Theorectical Note
  215.    wt: 8:   11 Adding Integers Formulas and Examples
  216.    wt: 8:   16 video Factors of 980 using prime
  217.    wt: 8:   8 Review Lesson 1 2 4 and 6 All in One
  218.    wt: 8:   013 Travel Time Tables
  219.    wt: 8:   011 Division of Time Intervals By Numbers
  220.    wt: 8:   6 How long is a million seconds
  221.    wt: 8:   1 Intro of Kids To Time Date Skills
  222.    wt: 8:   A Related Material in Volume 3
  223.    wt: 8:   4 Definite Integrals Evaluation Exercises
  224.    wt: 8:   30Chain Rule A Proof
  225.    wt: 8:   23 Chain Rule in general
  226.    wt: 8:   22 Chain Rule for polynomials
  227.    wt: 8:   18 Chain Rule Introduction
  228.    wt: 8:   1 Fall 1983 Why Slopes Appetizer
  229.    wt: 8:   8 Four Animated Examples
  230.    wt: 8:   2 Algebraic codification
  231.    wt: 8:   F.5b Extreme Value Theorem
  232.    wt: 8:   E1 Error Control Inequalities
  233.    wt: 8:   D2 Limits of Monotone Sequences
  234.    wt: 8:   B1 Pigeon Hole Principles from combinatorics
  235.    wt: 8:   Chapter 19. Exponentials and Natural Logarithms
  236.    wt: 8:   Chapter 14 Limits and Continuity with and sans Decimals
  237.    wt: 8:   Appendix E. How To Study Mathematics and Why
  238.    wt: 8:   Appendix D. What to do in School and Why
  239.    wt: 8:   Chapter 25. Mathematical Induction Examples
  240.    wt: 8:   Chapter 20. Degrees and Radians
  241.    wt: 8:   Chapter 10 Describing and Changing Calculations
  242.    wt: 8:   Chapter 6 Rule Based Reason in Mathematics
  243.    wt: 8:   Chapter 2 For and Against Mathematics
  244.    wt: 8:   Postscript B More on Story Telling and Reason
  245.    wt: 8:   Chapter 23 Truth Tables
  246.    wt: 8:   Chapter 21 Occurrence Tables
  247.    wt: 8:   Chapter 5 Deception
  248.    wt: 8:   Chapter 2 Skill Development
  249.    wt: 8:   Chapter 1 Introduction
  250.    wt: 8:   V Reasons and Motivations for Logic and Mathematics
  251.    wt: 8:   S Adding words to algebra
  252.    wt: 8:   1 From Number Recognition and Counting to Arithmetic B
  253.    wt: 8:   Helping the Blind in Logic and Mathematics
  254.    wt: 8:   Mathematics Education References
  255.    wt: 8:   Mathematics Education References
  256.    wt: 8:   Multiple Ways to Improve Mathematics Skill Development
  257.    wt: 7:   which way to go
  258.    wt: 7:   site eurekas
  259.    wt: 7:   key notes and themes
  260.    wt: 7:   three difficulties
  261.    wt: 7:   teaching tips
  262.    wt: 7:   Theory of Knowledge
  263.    wt: 7:   cultivating intelligence
  264.    wt: 7:   How to be a better instructor
  265.    wt: 7:   chapitre 05 00 Deception
  266.    wt: 7:   chapitre 04 08 Limitations et benefices
  267.    wt: 7:   chapitre 04 06 engagements
  268.    wt: 7:   chapitre 04 05 Implication versus suggestion
  269.    wt: 7:   chapitre 04 02 Deuxieme enigme
  270.    wt: 7:   chapitre 01 00 Introduction
  271.    wt: 7:   deux definitions pour variable
  272.    wt: 7:   2 Conductance Resistance Duality02
  273.    wt: 7:   1 Conductance Resistance Duality01
  274.    wt: 7:   A Wire Resistance Qualitative01
  275.    wt: 7:   11 Help and Defend Your Child or Teens Education
  276.    wt: 7:   Ages 12 to 14 Skills with take home value
  277.    wt: 7:   21 Graphs of functions given by Horizontal Line Method
  278.    wt: 7:   20 Interchanging coordinates a reflection
  279.    wt: 7:   16 Increasing or decreasing on intervals
  280.    wt: 7:   15 Sign analysis of functions
  281.    wt: 7:   6 Set Existence Formation and Notation
  282.    wt: 7:   Introduction Reading Guide
  283.    wt: 7:   17F Law of cosines
  284.    wt: 7:   1 Unit Points Reflections Rotations
  285.    wt: 7:   16 References and Originality Question
  286.    wt: 7:   15 Pythagorean Theorem Converse
  287.    wt: 7:   8 Unit Circle Development of Trigonometry
  288.    wt: 7:   7 Trignometric Ratios Unit Circle
  289.    wt: 7:   Why Trigonometry the whyslopes view
  290.    wt: 7:   12 Links Lessons elsewhere
  291.    wt: 7:   About Folder Contents
  292.    wt: 7:   24 Signed Numbers Arithmmetic Properties
  293.    wt: 7:   22 Multiplication of Signed Numbers
  294.    wt: 7:   19 Signed Multiples of Vectors
  295.    wt: 7:   3 Multiplicative Counting Skills Principles
  296.    wt: 7:   16 Real Numbers Comparison
  297.    wt: 7:   15 Real Number Division
  298.    wt: 7:   13 Real Number Subtraction
  299.    wt: 7:   9 Coordinates for Regions in Space
  300.    wt: 7:   1 Whole and Natural Numbers
  301.    wt: 7:   4 Changing Letters
  302.    wt: 7:   1 Essentially One Unknown
  303.    wt: 7:   Using Letters for Physical Quantities
  304.    wt: 7:   5 Product Builder Notation
  305.    wt: 7:   2 Venn Diagrams
  306.    wt: 7:   5 Talking about Numbers and Quantities
  307.    wt: 7:   4 A Brief Story of numbers and algebra
  308.    wt: 7:   arithmetic videos Real Player Format
  309.    wt: 7:   10 dividing signed numbers
  310.    wt: 7:   6 Simplification of Fractions with Units
  311.    wt: 7:   2 Equality and Units
  312.    wt: 7:   D Three Term Ratios
  313.    wt: 7:   22 Complex Compound Fractions
  314.    wt: 7:   6 Multiplication of Mixed Numbers
  315.    wt: 7:   5 Equivalent Fractions
  316.    wt: 7:   4 Fraction Multiplication
  317.    wt: 7:   2 Unit Fraction Multiplication
  318.    wt: 7:   3 Adding Movements with same direction
  319.    wt: 7:   17 Identify and Count Factors using Primes
  320.    wt: 7:   12 LCD GCD and LCM using Primes
  321.    wt: 7:   6 Sieve of Eratosthenes and Square Rule
  322.    wt: 7:   Formula Evaluation how to show work
  323.    wt: 7:   4 Mixing and Changing Units of Time
  324.    wt: 7:   5 Area Under Curve Exercise
  325.    wt: 7:   A Related lessons in Volume 3
  326.    wt: 7:   3 Second derivative test
  327.    wt: 7:   2 Second derivative test prequel
  328.    wt: 7:   1 Two cubic sketching exercises with 1st derivative
  329.    wt: 7:   21 Chain Rule for powers
  330.    wt: 7:   20 Chain Rule for Pulley Systems
  331.    wt: 7:   12 Quotient rule examples
  332.    wt: 7:   10 Power rule for negative integers
  333.    wt: 7:   9 Reciprocal rule
  334.    wt: 7:   6 Power rule from product rule
  335.    wt: 7:   5 Product Rule
  336.    wt: 7:   10 Three one sided limits with infinite values
  337.    wt: 7:   5 Jumps and absence of unlimited error control
  338.    wt: 7:   G.4 Lipschitz Continuity implies EquiContinuity
  339.    wt: 7:   F.4 Finite Covering Theorem
  340.    wt: 7:   Chapter 21 Arrow Addition
  341.    wt: 7:   Chapter 17. Area Approximation
  342.    wt: 7:   Chapter 15. Algebraic Evaluation of Limits
  343.    wt: 7:   Chapter 13. Acceleration
  344.    wt: 7:   Chapter 31 Direct and Indirect Reason
  345.    wt: 7:   Chapter 29 Contrapositive and Vacuously True Implications
  346.    wt: 7:   Chapter 21. Third Reading Guide
  347.    wt: 7:   Postscript What is a Variable
  348.    wt: 7:   Annotated Links to Material Elsehwere
  349.    wt: 7:   Postscript A Story Telling
  350.    wt: 7:   Chapter 15 Objective Processes
  351.    wt: 7:   Chapter 10 Responsibility
  352.    wt: 7:   Three Remarks
  353.    wt: 7:   Foreword
  354.    wt: 7:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  355.    wt: 6:   why bother
  356.    wt: 6:   website reviews
  357.    wt: 6:   site origins
  358.    wt: 6:   Postscript 2007 01 10
  359.    wt: 6:   chapitre 04 01 Premiere enigme
  360.    wt: 6:   Trois Notions qui menent a algebre
  361.    wt: 6:   D Wire Resistance Calculation02
  362.    wt: 6:   24 Standards For Skill Develoment Take II
  363.    wt: 6:   19 Extending the Oral Dimension of Mathematics
  364.    wt: 6:   6 Discipline Who is in Charge Conserving Authority
  365.    wt: 6:   Ages 12 to 14 Arithmetic
  366.    wt: 6:   Ages 10 to 12 Arithmetic
  367.    wt: 6:   26 Function definitions done and coming
  368.    wt: 6:   22 Square Root function graphically
  369.    wt: 6:   19 Horizontal line rule and method
  370.    wt: 6:   18 Vertical Line Rule and Method
  371.    wt: 6:   13 From one to one to many to one
  372.    wt: 6:   12 Function Domain Recognition Exercises
  373.    wt: 6:   8 Set view of relations and functions
  374.    wt: 6:   7 Functions with finite domains
  375.    wt: 6:   5 Function notation for geometric transformations
  376.    wt: 6:   3 Formula or function graphing exercise
  377.    wt: 6:   2 Algebraic use of function notation
  378.    wt: 6:   2 Column Multiplication Method
  379.    wt: 6:   2 cosine function more properties
  380.    wt: 6:   1 cosine function properties
  381.    wt: 6:   14 Law of cosines
  382.    wt: 6:   6 Field Properties of Complex Number
  383.    wt: 6:   4 Multiplication Properties
  384.    wt: 6:   1 The Counting Origins of Numbers
  385.    wt: 6:   14 Real Number Multiplication
  386.    wt: 6:   10 Real Number Lengths and Signs
  387.    wt: 6:   6 Unsigned Real Numbers
  388.    wt: 6:   5 Rational Numbers More
  389.    wt: 6:   4 Rational Numbers
  390.    wt: 6:   More Exercises
  391.    wt: 6:   Simple Exercises
  392.    wt: 6:   10 Set View of Wordy Extensions To Arithmetic
  393.    wt: 6:   7 Cautious or Safe Set Construction
  394.    wt: 6:   4 Subset Builder Notation
  395.    wt: 6:   9 subtracting signed numbers
  396.    wt: 6:   7 Converting or Changing Units
  397.    wt: 6:   4 Fractions with Units
  398.    wt: 6:   3 Multiplying Units and Numbers
  399.    wt: 6:   18 Efficient Ways to Multiply
  400.    wt: 6:   12 Adding Integers More Examples
  401.    wt: 6:   5 Zero Movement and Additive Inverses
  402.    wt: 6:   4 Adding Movements wiht opposite directions
  403.    wt: 6:   20 Uniqueness of Prime Factorization
  404.    wt: 6:   2 Prime and Composites less than 16
  405.    wt: 6:   Quick history of numbers and algebra
  406.    wt: 6:   Exact Arithmetic Wholes and Fractions
  407.    wt: 6:   Expression Evaluation how to show work
  408.    wt: 6:   5 Conversion Arithmetic
  409.    wt: 6:   3 Units and Lengths of Time
  410.    wt: 6:   3 Two Chain Rule Method Exercises
  411.    wt: 6:   2 Indefinite Integrals Exercises
  412.    wt: 6:   1 Chain Rule in Reverse Integration Method
  413.    wt: 6:   11 Quotient rule
  414.    wt: 6:   4 Sum Rule
  415.    wt: 6:   11 Limits at infinity Three Examples
  416.    wt: 6:   6 Continuity at a point
  417.    wt: 6:   3 Decimal insights for limits continuity convergence
  418.    wt: 6:   1 Numerical introduction
  419.    wt: 6:   Chapter 24 Logarithms Powers and Exponentials
  420.    wt: 6:   Chapter 18. Slopes Areas Integration
  421.    wt: 6:   Chapter 4. More Slope Sign Analysis
  422.    wt: 6:   Chapter 3. Slope Sign Analysis
  423.    wt: 6:   Appendix C. How to Read
  424.    wt: 6:   Chapter 26 What is in chapters 27 to 31
  425.    wt: 6:   Chapter 19. Functions and Sets
  426.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  427.    wt: 6:   Postscript Unifying Theme A Fourth Skill For Algebra
  428.    wt: 6:   Chapter 12. Shorthand Usage Guide
  429.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  430.    wt: 6:   Chapter 7 Prep for Calculus Arithmetic Exercises
  431.    wt: 6:   Chapter 6 Change of Language
  432.    wt: 6:   Postscript B Mathematics Education References
  433.    wt: 6:   Chapter 3 Algebra Difficulties
  434.    wt: 6:   P Exact Arithmetic With Whole Numbers and Fractions
  435.    wt: 6:   O On Learning Mathematics and Science
  436.    wt: 6:   N Mathematics Prepare for College Studies
  437.    wt: 6:   M Words to extend arithmetic
  438.    wt: 6:   F. The student teacher tutor feedback loop
  439.    wt: 6:   D. Check work a must with a caution
  440.    wt: 6:   Talking pdf files for online lessons a webvideo alternative
  441.    wt: 5:   problemes algebre et arithmetique
  442.    wt: 5:   F Wire Resistance Calculation04
  443.    wt: 5:   E Wire Resistance Calculation03
  444.    wt: 5:   C Wire Resistance Calculation01
  445.    wt: 5:   B Wire Resistance Qualitative02
  446.    wt: 5:   24 Standards For Skill Develoment
  447.    wt: 5:   22 Student Centered Highschool Mathematics
  448.    wt: 5:   17 Math Booklets for children and young teenagers
  449.    wt: 5:   16 Secondary Mathematics Tips
  450.    wt: 5:   12 Goals and Objectives For Mathematics
  451.    wt: 5:   5 Patience Please for Yourself and Your Charges
  452.    wt: 5:   Ages 12 to 14 Geometry
  453.    wt: 5:   Ages 10 to 12 Geometry
  454.    wt: 5:   Ages 9 to 10
  455.    wt: 5:   Ages 8 to 9
  456.    wt: 5:   Ages 7 to 8
  457.    wt: 5:   Ages 6 to 7
  458.    wt: 5:   Ages 4 plus to 5 plus
  459.    wt: 5:   Ages 3 plus to 4 plus
  460.    wt: 5:   24 Monotoncity Injectivity and Inverse Functions
  461.    wt: 5:   10 Interval Notation
  462.    wt: 5:   1 Geometric Introduction of Function Notation
  463.    wt: 5:   Rewriting algebraic substitution as function substitutions
  464.    wt: 5:   20 N th Roots of Complex Numbers
  465.    wt: 5:   19 N th Roots of Unity
  466.    wt: 5:   18 Sixth Roots of Unity
  467.    wt: 5:   17 Cube Roots of unity
  468.    wt: 5:   3 Fractions
  469.    wt: 5:   8 Sets of Numbers
  470.    wt: 5:   6 Power Set Notation
  471.    wt: 5:   3 Counting with Sets etc
  472.    wt: 5:   1 Finite Sets
  473.    wt: 5:   1 Three Skills For Algebra
  474.    wt: 5:   About Folder Contents
  475.    wt: 5:   8 multiplying signed numbers
  476.    wt: 5:   5 lengths and signs of numbers
  477.    wt: 5:   21 Working With Signs
  478.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  479.    wt: 5:   6 Multiplication by Natural Numbers
  480.    wt: 5:   1 Integers as Coordinates
  481.    wt: 5:   11 Efficient Square Rule Use
  482.    wt: 5:   The 12 Times Table Visually
  483.    wt: 5:   9 Limits Continuity and Composition
  484.    wt: 5:   4 Numerical properties
  485.    wt: 5:   Postscript Pythagorean Theorem yet another proof
  486.    wt: 5:   Chapter 20 Vectors and Complex Numbers
  487.    wt: 5:   Chapter 16. Velocity Approximation
  488.    wt: 5:   Chapter 15. Slope Approximation
  489.    wt: 5:   Chapter 9 About First Courses in Calculus
  490.    wt: 5:   Chapter 6. Slopes and Vertical Shifts
  491.    wt: 5:   Chapter 2. Slopes and Ski Trails
  492.    wt: 5:   Fall 1983 Calculus Appetizer
  493.    wt: 5:   Appendix B. How To Learn
  494.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
  495.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  496.    wt: 5:   Chapter 18. Rules for Algebra
  497.    wt: 5:   Chapter 15. Solving Linear Equations
  498.    wt: 5:   Chapter 8 Three Skills For Algebra
  499.    wt: 5:   Chapter 4 Longer Chains of Reason
  500.    wt: 5:   Chapter 3 Chains of Reason
  501.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
  502.    wt: 5:   Postscript A Three Remarks
  503.    wt: 5:   R Why Learn Mathematics Skills
  504.    wt: 5:   Q How Logic and Proofs extend Show Work Practices
  505.    wt: 5:   N Improving Marks on Tests and Finals
  506.    wt: 5:   I. Logic and language skills
  507.    wt: 5:   G. Written work formats for developing and showing skill
  508.    wt: 5:   A. Skill has to be seen to believed
  509.    wt: 5:   How to Build Skills and Confidence
  510.    wt: 5:   Implementation Notes
  511.    wt: 5:   Which Way To Go
  512.    wt: 4:   logique deux enigme
  513.    wt: 4:   3 Like resistors in parallel
  514.    wt: 4:   2 Unlike resistors in parallel01
  515.    wt: 4:   18 Primary School Mathematics
  516.    wt: 4:   14 Multiplication and Times Tables
  517.    wt: 4:   10 Ends values for work study instruction
  518.    wt: 4:   9 Streaming by Student Cooperation
  519.    wt: 4:   4 Learning Takes Time and Effort
  520.    wt: 4:   2 Reading and Writing Skills
  521.    wt: 4:   23 Inverse Functions
  522.    wt: 4:   9 Set theory term relation possible origins
  523.    wt: 4:   8 Notes for instructors or tutors
  524.    wt: 4:   7 Links Lessons Elsewhere
  525.    wt: 4:   2 Integers
  526.    wt: 4:   B Integer Long Division Multiple Choices
  527.    wt: 4:   10 Integer Multiplication Formulas
  528.    wt: 4:   8 Multiplication by Signed Numbers Integers
  529.    wt: 4:   About folder contents
  530.    wt: 4:   Chapter 23 Links To Trigonometry
  531.    wt: 4:   Chapter 12. Units and Slopes
  532.    wt: 4:   Chapter 11. Graphing Slope versus Position
  533.    wt: 4:   Chapter 10 Slopes and Units
  534.    wt: 4:   Chapter 8. Slope Interpretation
  535.    wt: 4:   Chapter 7 Slopes and Velocity
  536.    wt: 4:   Chapter 1.Introduction
  537.    wt: 4:   Chapter 30 Truth Tables
  538.    wt: 4:   Chapter 28 Occurrence Tables
  539.    wt: 4:   Chapter 23. Notation For Sums
  540.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  541.    wt: 4:   Chapter 16. Painless Theorem Proving
  542.    wt: 4:   Chapter 11. Why Shorthand
  543.    wt: 4:   Solutions For Arithmetic Exercises
  544.    wt: 4:   Chapter 12 Four Phases
  545.    wt: 4:   Chapter 11 Elementary Instruction
  546.    wt: 4:   Chapter 10 Transition
  547.    wt: 4:   Chapter 9 The Two Ends
  548.    wt: 4:   Chapter 8 Modern Instruction
  549.    wt: 4:   Chapter 7 Two Treatments of Geometry
  550.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  551.    wt: 4:   Chapter 1 Introduction
  552.    wt: 4:   L Skills with take home value
  553.    wt: 4:   H Jigsaw puzzles and problem solving
  554.    wt: 4:   C. Domino effect of being careful
  555.    wt: 3:   liens
  556.    wt: 3:   problemes responses
  557.    wt: 3:   E Kirchoffs Second Law
  558.    wt: 3:   D Kirchoff First Law
  559.    wt: 3:   8 The Effect of Negative Remarks
  560.    wt: 3:   7 Student Motivation
  561.    wt: 3:   3 Preparing for Science Studies
  562.    wt: 3:   14 Surjections Injections Bijections
  563.    wt: 3:   7 Multiplication by Signs
  564.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  565.    wt: 3:   The 20 Times Table
  566.    wt: 3:   Chapter 22 Complex Numbers
  567.    wt: 3:   Chapter 5. Slope Sign Tests
  568.    wt: 3:   Foreword
  569.    wt: 3:   Postscript More on Better Performance
  570.    wt: 3:   Postscript For Better Performance
  571.    wt: 3:   Foreword
  572.    wt: 3:   Chapter 5 Four References
  573.    wt: 3:   Foreword
  574.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  575.    wt: 3:   J. More on written work and showing skill
  576.    wt: 3:   E. When and how to correct errors
  577.    wt: 3:   B. Domino effect of errors
  578.    wt: 3:   Road Safety Questions
  579.    wt: 2:   4 Energy Power Heat09
  580.    wt: 2:   3 Energy Power Heat08
  581.    wt: 2:   2 Energy Power Heat07
  582.    wt: 2:   1 Energy Power Heat06
  583.    wt: 2:   D Energy Power04
  584.    wt: 2:   A Energy Power01
  585.    wt: 2:   1 Like resistors in series
  586.    wt: 2:   F Unlike Resistors in Series
  587.    wt: 2:   C Electromotive force conventional current02
  588.    wt: 2:   B Electromotive force conventional current01
  589.    wt: 2:   A Circuit Elements
  590.    wt: 2:   Home Tutoring and Home Schooling
  591.    wt: 2:   15 Counting For Parents
  592.    wt: 2:   1 Speaking Skills
  593.    wt: 2:   9 Multiplying Integers
  594.    wt: 2:   H more Routine to non routine problem solving
  595.    wt: 2:   The Math Forum and Site Content
  596.    wt: 22:   Long Division forwards and backwards Example 3
  597.    wt: 22:   Long Division forwards and backwards Example 2
  598.    wt: 22:   Long Division forwards and backwards Example 1
  599.    wt: 21:   9 Summary Degrees to Radians and back
  600.    wt: 21:   2 Radian Measure Numerical Value of one degree
  601.    wt: 21:   13 Pythagorean spatial distance formulas
  602.    wt: 21:   7 Adding decimal fractions using decimal point
  603.    wt: 20:   7 Radian Measures in special Triangles
  604.    wt: 20:   1 Degrees and Radians Introduction
  605.    wt: 20:   Appendix 1 Counting Revisited 15 minute video
  606.    wt: 20:   3. How to add with decimals A sans conversions
  607.    wt: 1:   E Energy Power05
  608.    wt: 1:   C Energy Power03
  609.    wt: 1:   B Energy Power02
  610.    wt: 1:   H Series Circuit02
  611.    wt: 1:   G Series Circuit01
  612.    wt: 19:   8 Radian Measures of Common Angles
  613.    wt: 19:   6 Radian Measure to Degrees
  614.    wt: 19:   5 Degrees to Radian Measure
  615.    wt: 19:   4 Circle Sector Area proportional to Central Angle
  616.    wt: 19:   5 Cartesian Addition and Translation
  617.    wt: 19:   Appendix 1 Decimals Comparison Method Take II
  618.    wt: 19:   6. Counting and adding units and mixed units
  619.    wt: 19:   5. How to add decimals C. Examples
  620.    wt: 18:   3 Circle Arclengh Proportional to Central Angle
  621.    wt: 18:   Parallel Lines and Parallel Transversals
  622.    wt: 18:   Parallel Lines and Alternating Corresponding Angles
  623.    wt: 18:   10 Pythagorean plane distance formula
  624.    wt: 18:   Long Division Backwards more
  625.    wt: 18:   Long Division Backward
  626.    wt: 18:   1 Comparison and Subtraction Easy Direct Cases
  627.    wt: 18:   4. How to add with decimals B with conversions
  628.    wt: 18:   1. Explaining Addition Table
  629.    wt: 17:   7 Coordinate Addition and Scalar Multiplication
  630.    wt: 17:   A Decimals Modular and Remainder Arithmetic
  631.    wt: 17:   6 Why Decimal Long Division Methods Works Take I
  632.    wt: 17:   3 Division Single Digit Divisor Example
  633.    wt: 17:   Appendix 2 Three Decimal Subtraction Methods
  634.    wt: 17:   3 Harder Cases Convert to Compare and Subtract
  635.    wt: 17:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  636.    wt: 16:   Proportionality of Line Segments From Parallel Transversals
  637.    wt: 16:   Construction Methods and Criteria for Isometric and Similar Triangles
  638.    wt: 16:   13 Navigation Location from Angles to 2 Landmarks
  639.    wt: 16:   1 Cartesian Coordinates sans signs
  640.    wt: 16:   PS F Scalar Multiplication Distributes over Addition
  641.    wt: 16:   PS D Addition with Cartesian Coordinates
  642.    wt: 16:   5 Drawing to Scale Avoids Angle Distortions
  643.    wt: 16:   13 Remainder Arithmetic Modulo 5 Example
  644.    wt: 16:   Division with Counts and Length
  645.    wt: 16:   11 Another Single Digit Divisor Example
  646.    wt: 16:   7 Long Divison Mistake Catching
  647.    wt: 16:   2 Division with Single Digit Divisors
  648.    wt: 16:   D Decimal Multiplication Methods Derived
  649.    wt: 16:   Video Decimal Multiplication Geometric View Example 2
  650.    wt: 16:   Video Decimal Multiplication Geometric View Example 2
  651.    wt: 16:   Video Power Notation in Decimal Expansion
  652.    wt: 16:   Subtraction Another Video Lesson
  653.    wt: 16:   7 Subtraction for Decimal Fractions with Exercises
  654.    wt: 16:   8 What skills and work habits to require
  655.    wt: 16:   2 Decimal Counting Practices
  656.    wt: 16:   Example 1. Area Between x and x squared
  657.    wt: 15:   7 logic review and decimals an odd combination
  658.    wt: 15:   14 Why Scalar Multiplication Distributes Physical Argument
  659.    wt: 15:   10 Parallelogram Addition Method
  660.    wt: 15:   5 Head To Tail Arrow Addition
  661.    wt: 15:   Parallel Lines and Interior Angles
  662.    wt: 15:   7 Tangent Function is odd on this domain
  663.    wt: 15:   12 Spatial Coordinates
  664.    wt: 15:   8 Distance Between Points on a Line
  665.    wt: 15:   6 Polar Multiplication and Rotation
  666.    wt: 15:   4 Polar Coordinates to and from
  667.    wt: 15:   3 Rectangular Coordinates Review
  668.    wt: 15:   2 Cartesian Coordinates with signs
  669.    wt: 15:   16 Angles Subtended By Chords and Diameters
  670.    wt: 15:   1 Decimals Modular and Remainder Arithmetic
  671.    wt: 15:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  672.    wt: 15:   16 Remainder Arithmetic Modulo 9 Example 2
  673.    wt: 15:   15 Remainder Arithmetic Modulo 9 Example
  674.    wt: 15:   14 Remainder Arithmetic Modulo 9 Example
  675.    wt: 15:   12 Remainder Arithmetic Modulo 10 Example
  676.    wt: 15:   11 Remainder Arithmetic Long Division by 5 Quickly more
  677.    wt: 15:   10 Remainder Arithmetic Long Division by 5 Quickly
  678.    wt: 15:   9 Remainder Arithmetic Divisibility by 5
  679.    wt: 15:   7 Remainder Arithmetic Modulo 5 Examples I
  680.    wt: 15:   4 Remainder Arithmetic Modulo 10 in general
  681.    wt: 15:   10 Division by Five Long and Short Ways
  682.    wt: 15:   4 Division with 2 Digit Divsors
  683.    wt: 15:   A Elementary Basis for Multiplication Methods
  684.    wt: 15:   Subtraction with J Conversions Example
  685.    wt: 15:   2 Subtraction Easy Case Examples
  686.    wt: 15:   9 Place Value Review Decimal form of Avogrados number included
  687.    wt: 14:   Appendix 1 primary and preschool mathematic
  688.    wt: 14:   C LAMP Introduction Culture in Mathematics Education
  689.    wt: 14:   B LAMP Introduction Curriculum Development Standards
  690.    wt: 14:   Ramblings Introduction Algebra Essay
  691.    wt: 14:   8 quadratics backward use of various formulas
  692.    wt: 14:   2 Graphing y=Af(x) Vertical Scaling
  693.    wt: 14:   Triangle Angles Sum To 180 Degrees
  694.    wt: 14:   SAS Method For Isometric Or Proportional Triangle Construction
  695.    wt: 14:   7 Translations Rotations Reflections Dilatations
  696.    wt: 14:   9 Pythagorean Theorem Chinese Square Proof
  697.    wt: 14:   PS G Rotation Distributes over Addition
  698.    wt: 14:   13 Angle Side Angle Failure
  699.    wt: 14:   4 Angles on Maps Plans drawn to scale
  700.    wt: 14:   3 Lengths and Areas on Maps and Plans
  701.    wt: 14:   15 Head to Tails in place Addition Associative
  702.    wt: 14:   4 Rates Ratios and Proporitionality
  703.    wt: 14:   9 Circle Area and Perimeter Formula Backwards Forwards
  704.    wt: 14:   3 GE III Equation Addition and Multiplication
  705.    wt: 14:   2 Another Rectangle Area Formula Example
  706.    wt: 14:   9 GCD of 360 110 via Primes and Euclid Algorithm
  707.    wt: 14:   23 Remainder Arithmetic Modulo 2
  708.    wt: 14:   22 Remainder Arithmetic Modulo 3 more
  709.    wt: 14:   21 Remainder Arithmetic Modulo 3
  710.    wt: 14:   8 Remainder Arithmetic Morulo 5 Examples II
  711.    wt: 14:   6 Remainder Arithmetic Modulo 5 Propertie
  712.    wt: 14:   5 Remainder Arithmetic Modulo 5
  713.    wt: 14:   3 Remainder Arithmetic Modulos 10 more still
  714.    wt: 14:   2 Remainder Arithmetic Modulo 10 more
  715.    wt: 14:   1 Remainder Arithmetic Modulo 10
  716.    wt: 14:   12 Why Long Division Works Take III
  717.    wt: 14:   9 Why Long Division Works Take II
  718.    wt: 14:   5 Long Division Include Zeroes or not
  719.    wt: 14:   1 Divsion Physical Examples
  720.    wt: 14:   6 Subtraction with Conversion Example with Exercises
  721.    wt: 14:   11 Place Value SI Standard International way
  722.    wt: 14:   Example 1 volume of a pyramid
  723.    wt: 14:   Chapter 4 Implication Rules Forwards and Backwards
  724.    wt: 14:   Appendix A Calculus with Proofs for Keen or Gifted
  725.    wt: 14:   Primary and Secondary Skills and Practices with Take Home Value
  726.    wt: 13:   E LAMP Introduction Modern Mathematics
  727.    wt: 13:   sign monoticity analysis example 4
  728.    wt: 13:   sign monoticity analysis example 3
  729.    wt: 13:   sign monoticity analysis example 2
  730.    wt: 13:   sign monoticity analysis example 1
  731.    wt: 13:   A Global Time and Navigation
  732.    wt: 13:   9 Head to Tail Coordinate View
  733.    wt: 13:   Straight Lines ASA Intersection Study More
  734.    wt: 13:   Straight Lines ASA Intersection Study
  735.    wt: 13:   D Straight Lines Slope from Coordinates Examples
  736.    wt: 13:   3 Straight Lines Slope as Tangent of Inclination Angle
  737.    wt: 13:   6 Geometric Diagrams in Class
  738.    wt: 13:   3 Similarity by Design with coordinates
  739.    wt: 13:   11 Triangle Inequality
  740.    wt: 13:   11 Signed Number Addition and Addition Properties
  741.    wt: 13:   A Decimal Addition Columm Methods
  742.    wt: 13:   5 Proportionality in Equivalent Fractions
  743.    wt: 13:   1 What is Proportionality
  744.    wt: 13:   8 Pythagorean Relation Forwards Backwards
  745.    wt: 13:   4 Rectangle Area and Like Formulas Backwards
  746.    wt: 13:   2 Addition and Multiplication Axioms
  747.    wt: 13:   2 More and Less Than for Counts and Measures
  748.    wt: 13:   5 Gaussian Elimination for 3 unknowns 2nd example
  749.    wt: 13:   13 Naming Identifying Formulas with Words
  750.    wt: 13:   6 Pythagorean Hypotenuse Calculation Example
  751.    wt: 13:   3 Triangle Area Formula Example
  752.    wt: 13:   17 GCD LCM of 85 and 60 via Prime
  753.    wt: 13:   14 GCD of 650 110 via Primes LCM via Product Rule
  754.    wt: 13:   13 GCD from given Prime Factorization
  755.    wt: 13:   11 GCD 2700 288 via Euclid Algorithm
  756.    wt: 13:   8 GCD from Euclidean Algorithm
  757.    wt: 13:   7 GCD and LCM from prime factorization
  758.    wt: 13:   LCM 60 45 Avoid List Method Use Prime
  759.    wt: 13:   2 Least Common Multiple LCM intro via list method
  760.    wt: 13:   16 Addition Subtraction Comparision Compared
  761.    wt: 13:   27 Divisibility by 2 3 6 5 9 10 Example
  762.    wt: 13:   26 Divisibility by 2 3 5 Example
  763.    wt: 13:   25 Divisibility Tests for 2 3 5 9 10 Example
  764.    wt: 13:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  765.    wt: 13:   19 Remainder Arithmetic Rule of 9 for checking sums III
  766.    wt: 13:   18 Remainder Arithmetic Rule of 9 for checking sums II
  767.    wt: 13:   17 Remainder Arithmetic Rule of 9 for checking sums I
  768.    wt: 13:   8 Correcting the Mistake
  769.    wt: 13:   5 Decimal Fraction Multiplication
  770.    wt: 13:   9 22 Minute Subtraction Review Video
  771.    wt: 13:   8 Subtraction with Units of Measure
  772.    wt: 13:   5 A Tip for Efficent Subtraction
  773.    wt: 13:   4 Subtraction with Conversions Borrows and Letter J
  774.    wt: 13:   Area Between Crossing Curves Lesson Take 2
  775.    wt: 13:   Area Between Crossing Curves Lesson Take 1
  776.    wt: 13:   Area Between Curves Lesson Take 2
  777.    wt: 13:   Area Between Curves Lesson Take 1
  778.    wt: 13:   Postscript One Sided and Intermediate Value Theorems
  779.    wt: 13:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  780.    wt: 13:   Chapter 14 Deductive and Empirical Views of Mathematics
  781.    wt: 13:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  782.    wt: 13:   Chapter 12 Islands and Divisions of Knowledge
  783.    wt: 13:   Chapter 7 Calculus Previews and Calculus Lightly
  784.    wt: 13:   Chapter 6 More Algebra and Geometry
  785.    wt: 13:   Chapter 4 Logic for Reading Writing and Geometry etc
  786.    wt: 13:   Chapter 3 Algebra Starter Lessons
  787.    wt: 12:   Appendix 2 primary school Arithmetic 01
  788.    wt: 12:   I LAMP Introduction Study Habits
  789.    wt: 12:   Skills Chapter 3 Algebra
  790.    wt: 12:   Applied Maths Program14092009 POMME variant
  791.    wt: 12:   five decades make a difference
  792.    wt: 12:   chapitre 07 00 Des chaines plus longues de la raison
  793.    wt: 12:   7 quadratic formulla derivation
  794.    wt: 12:   6 quadratics numerical approach
  795.    wt: 12:   5 Natural Logarithm Calculator Exercises
  796.    wt: 12:   3 Natural Logarithms and Exponentials Basic Properties
  797.    wt: 12:   12 From Applied To Pure Mathematics
  798.    wt: 12:   3 Navigation with Arrows or Vectors
  799.    wt: 12:   4 graphing y=Asin(x c)
  800.    wt: 12:   1 graphing y=f(x a)
  801.    wt: 12:   Analytic View of Triangle Construction or Line Instersection More
  802.    wt: 12:   14 Straight Lines Equations General Case
  803.    wt: 12:   13 Straight Lines Finding Equations from 2 points
  804.    wt: 12:   6 Tangent Function Inclination Angle Take 2
  805.    wt: 12:   35 sines and cosines of 2A 3A 4A 5A
  806.    wt: 12:   34 sines and cosines of 2A 3A 4A 5A
  807.    wt: 12:   33 sines and cosines of 2A 3A 4A 5A
  808.    wt: 12:   31 basic secant cosecant cotangent trig identities
  809.    wt: 12:   29 secant cosecant and cotangent for acute angles
  810.    wt: 12:   18 sum of sinusoidal waves as a single wave
  811.    wt: 12:   14 cosine even and sine and tangent are odd
  812.    wt: 12:   11 tangent function undefined when terminal side vertical
  813.    wt: 12:   2 Similar Triangles Equality of Corresponding Side Ratios
  814.    wt: 12:   11 Triangle Similarity Missing Side Problem
  815.    wt: 12:   10 Similarity of Triangles Equivalent of Two Criteria
  816.    wt: 12:   9 Similarity of Triangles Usual Criteria
  817.    wt: 12:   5 Similarity of Circles Squares and Rectangles
  818.    wt: 12:   4 Similarity Definition with Coordinate
  819.    wt: 12:   9 Midpoint Coordinates Half Endpoint Sum
  820.    wt: 12:   7 Complex Numbers Appetizer
  821.    wt: 12:   PS E Multiplication with Polar Coordinates
  822.    wt: 12:   PS B Parallelogram Construction Methods
  823.    wt: 12:   15 Triangle Angle Sum is 180 degrees
  824.    wt: 12:   12 Side Angle Side Failure
  825.    wt: 12:   10 Dropping a perpendicular to line
  826.    wt: 12:   6 Ruler and compass Angle Bisection
  827.    wt: 12:   8 More Use of Maps Not Drawn to Scale
  828.    wt: 12:   2 Measuring Area Directly
  829.    wt: 12:   A Modular and Remainder Arithmetic
  830.    wt: 12:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  831.    wt: 12:   B Decimal Comparison and Subtraction
  832.    wt: 12:   5 Areas of Rectangles Revisited
  833.    wt: 12:   4 Fraction Operations Axiomatic Development
  834.    wt: 12:   3 Proportionality Examples
  835.    wt: 12:   2 Algebraic View
  836.    wt: 12:   6 Compound Interest Forward and Backwards
  837.    wt: 12:   5 Triangle Area Formula Backwards
  838.    wt: 12:   4 Subtraction and Division Axioms
  839.    wt: 12:   5 Greater More Less Than Signs in General
  840.    wt: 12:   4 Comparison of Negative Numbers
  841.    wt: 12:   1 Real Numbers Comparison
  842.    wt: 12:   5 Independent versus Dependent Variables
  843.    wt: 12:   4 GE III Animated Examples
  844.    wt: 12:   3 Gaussian Elimination 3 unknowns first example
  845.    wt: 12:   8 Compound Interest Formula Evaluation
  846.    wt: 12:   4 Circle Area Formula Example
  847.    wt: 12:   16 GCD and LCM of 650 225 via Prime
  848.    wt: 12:   10 Euclid Algorithm with 129 125 and with 45 14
  849.    wt: 12:   5 Common Divisors 60 45 via Prime
  850.    wt: 12:   4 LCM of 8 and 10 via Prime
  851.    wt: 12:   1 Least Common Multiples LCM Introduction
  852.    wt: 12:   15 Adding and Subtracting with Unlike Denominators
  853.    wt: 12:   14 Adding and Subtracting with Like Denominators
  854.    wt: 12:   24 Divisibility Tests for 2 3 5 9 10
  855.    wt: 12:   6 Multiplication Commutes Order Not Important
  856.    wt: 12:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  857.    wt: 12:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  858.    wt: 12:   016 Numbering Occidental Calendar Days
  859.    wt: 12:   Example 2 volume of a cone
  860.    wt: 12:   A Chain Rule Real Player video examples
  861.    wt: 12:   25 Chain Rule Animated Examples Continued
  862.    wt: 12:   7 Animated Differentiation Examples
  863.    wt: 12:   G.2 Differentiable Functions Mean Value Theorem
  864.    wt: 12:   PostScript For and Against Decimal Perspectives
  865.    wt: 12:   Postscript D Reflections on Law of the Excluded Middle
  866.    wt: 12:   Chapter 17 Objective Ways Trial and Error Discovery
  867.    wt: 12:   Chapter 8 Skipped Topics and Why
  868.    wt: 12:   5 Interpreting and Drawing Maps and Plans.
  869.    wt: 12:   2 Identifying Size and Position Place and Spatial Sense
  870.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  871.    wt: 11:   K LAMP Musings Science Education
  872.    wt: 11:   H LAMP Introduction Instructional Concepts
  873.    wt: 11:   F LAMP Introduction Prerequisites
  874.    wt: 11:   9 combinatorics probability sets
  875.    wt: 11:   5 logarithms and exponentials etc
  876.    wt: 11:   3 Euclidean Geometry Leanly
  877.    wt: 11:   three goals for Mathematics Education
  878.    wt: 11:   standards for course material
  879.    wt: 11:   Education in mathematics science and technology
  880.    wt: 11:   need for a mixed mathematics curriculum
  881.    wt: 11:   education an empirical art
  882.    wt: 11:   chapitre 06 00 Chaines de la raison
  883.    wt: 11:   13 Addition and Addition Tables
  884.    wt: 11:   A Quadratics Summary
  885.    wt: 11:   9 quadratics physical and further context
  886.    wt: 11:   4 quadratics difference of two squares
  887.    wt: 11:   2 quadratics graphing in general
  888.    wt: 11:   1 quadratics graphing exercises
  889.    wt: 11:   10 Exponential Growth and Decay Models
  890.    wt: 11:   6 Formulas for Even and Odd Roots with Logarithms
  891.    wt: 11:   16 cotangent function Definition Graph and Inverse
  892.    wt: 11:   15 cosecant function Definition Graph and Inverse
  893.    wt: 11:   13 cosecant function Definition Graph and Inverse
  894.    wt: 11:   5 Swapping Coordinates is a reflection
  895.    wt: 11:   15 Dot and Cross Product
  896.    wt: 11:   13 Velocity Vectors in Physics
  897.    wt: 11:   8 Parallel Vectors
  898.    wt: 11:   6 Vectors with Coordinates
  899.    wt: 11:   2 Signed Coordinates
  900.    wt: 11:   1 Unsigned Coordinates
  901.    wt: 11:   3 graphing y=f(x c) plus K
  902.    wt: 11:   Straight Lines Instersection Solving Equations
  903.    wt: 11:   C Straight Lines Slope from Coordinates
  904.    wt: 11:   A Straight Line Slope Scaling Properties
  905.    wt: 11:   8 Straight Lines Equation for vertical
  906.    wt: 11:   2 Straight Lines Slopes As Rise Over Run
  907.    wt: 11:   32 seven rows of pascals triangle
  908.    wt: 11:   22 sine of 22.5 degrees via half angle formulas
  909.    wt: 11:   19 Pythagorean Identity For sine and cosine functions
  910.    wt: 11:   17D cis formulas for sine cosines and tangent
  911.    wt: 11:   13 Graph of tangent function many periods
  912.    wt: 11:   13 Trig Formulas for dot and cross Products
  913.    wt: 11:   5 Trigonometric Ratios For Tangent and Special Triangles
  914.    wt: 11:   8 Similarity of Triangles and Polygons
  915.    wt: 11:   1 Early Concept of Like or Similar Shapes
  916.    wt: 11:   11 A Partial Summary
  917.    wt: 11:   10 Midpoint of [a b] and [b a]
  918.    wt: 11:   What is and is not here
  919.    wt: 11:   PS H Distributive Law For Complex Numbers
  920.    wt: 11:   21 Parallelograms
  921.    wt: 11:   18 Triangle Similarity Take 1
  922.    wt: 11:   17 Right Bisectors of Triangle Sides
  923.    wt: 11:   14 Parallel Lines Postulate
  924.    wt: 11:   7 Angle Side Angle
  925.    wt: 11:   5 Side Angle Side
  926.    wt: 11:   4 Side Side Side
  927.    wt: 11:   25 Mid way Convergence to Axiomatic Approach
  928.    wt: 11:   13 Arrows and Vectors in a Plane
  929.    wt: 11:   9 Division with Digits after Decimal Point
  930.    wt: 11:   8 Division and Mulplication of Compound Fractions
  931.    wt: 11:   4 Location of Point in Decimal Addition
  932.    wt: 11:   7 Decimals Multiplication Methods Examples
  933.    wt: 11:   3 Inequalities Algebraically
  934.    wt: 11:   2 Fraction Operations Physical Development
  935.    wt: 11:   6 Equations and Systems Equivalent or Implied
  936.    wt: 11:   3 More and Less Than with Unlike Signs
  937.    wt: 11:   1 Formulas Dependence and Function Notation
  938.    wt: 11:   Skill Development Notes
  939.    wt: 11:   10 One Example
  940.    wt: 11:   9 Three Examples
  941.    wt: 11:   8 One Example
  942.    wt: 11:   7 Two Examples
  943.    wt: 11:   6 Three Examples
  944.    wt: 11:   5 Three Examples
  945.    wt: 11:   4 Two Examples
  946.    wt: 11:   3 Two Examples
  947.    wt: 11:   2 Three Examples
  948.    wt: 11:   12 Cone Cylinder Sphere Lesson Idea
  949.    wt: 11:   7 Compound Interest Formula Introduction
  950.    wt: 11:   1 Written work formats for developing and showing skill
  951.    wt: 11:   1 More and Less Than for Counts and Measures
  952.    wt: 11:   1 Squares and Square Roots Introduction
  953.    wt: 11:   12 GCD 2700 288 via Prime
  954.    wt: 11:   5 Counting with Tables Trees Product Rule Take II
  955.    wt: 11:   C Equality for Fractions and Two Term Ratios and Fractions
  956.    wt: 11:   17 Efficient Ways to Add and Subtract
  957.    wt: 11:   13 Fraction Comparison Algebraic View
  958.    wt: 11:   8 Numerals Fractionals Quantals Take II
  959.    wt: 11:   Fraction Operations by Raising Terms A Simple Innovation
  960.    wt: 11:   10 video Prime Factorization upto 23 squared
  961.    wt: 11:   9 video Prime Factorization upto 19 squared
  962.    wt: 11:   1 video how Products are bigger than factor
  963.    wt: 11:   C Counting Areas with Powers of Ten
  964.    wt: 11:   4 Two and Three Digit Multipliers
  965.    wt: 11:   5 More on Groups of 3 Place Value in Decimal Fractions
  966.    wt: 11:   4 Groups of 3 Place Value in Decimal Fractions
  967.    wt: 11:   2 Groups of Three Place Value for Multidigit Decimals
  968.    wt: 11:   010 Repeated Addition of Time Intervals
  969.    wt: 11:   8 Addition of Time Intervals via subtotaling
  970.    wt: 11:   Volume of Solid by Cross Sections Lesson
  971.    wt: 11:   Example 4 with x function of y
  972.    wt: 11:   Example 3
  973.    wt: 11:   Example 2
  974.    wt: 11:   Example 1
  975.    wt: 11:   38 Formulas and derivatives for powers and roots
  976.    wt: 11:   36 Cube root derivative animated
  977.    wt: 11:   33 Chain Rule Real Player video examples
  978.    wt: 11:   24 Chain Rule Animated Examples
  979.    wt: 11:   13 Limits with Parameters and Derivatives Take II
  980.    wt: 11:   7 Evaluation by immediate or delayed substitution
  981.    wt: 11:   G.1 First Fundamental Theorem of Calculus
  982.    wt: 11:   G.6 Bounded Derivatives implies Lipshitz Continuity
  983.    wt: 11:   D1 Sets and Sequences GLBs and LGBs
  984.    wt: 11:   Chapter 14. Forward and Backward Use of a Formula
  985.    wt: 11:   Chapter 24 Direct and Indirect Reason
  986.    wt: 11:   Chapter 22 Contrapositive and Vacuously True Implications
  987.    wt: 11:   Chapter 16 Origins and Limitations of Rules and Patterns
  988.    wt: 11:   Chapter 11 Accidental Patterns
  989.    wt: 11:   Chapter 2 Why Sets
  990.    wt: 11:   Chapter 1 Arithmetic
  991.    wt: 11:   4 Money Matters Saving Earning Buying Selling and Budgets
  992.    wt: 11:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  993.    wt: 11:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  994.    wt: 11:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  995.    wt: 10:   J LAMP Introduction Extrinsic Origins
  996.    wt: 10:   G LAMP Introduction Problem Solving Skills
  997.    wt: 10:   A Introduction Objectives
  998.    wt: 10:   Skills Chapter 5 Calculus
  999.    wt: 10:   Ramblings Extrinsic numbers theory
  1000.    wt: 10:   Skills Chapter 1 Arithmetic
  1001.    wt: 10:   Skills Chapter 0 Introduction
  1002.    wt: 10:   11 pure mathematics
  1003.    wt: 10:   10 statistics
  1004.    wt: 10:   8 analytic geometry etc
  1005.    wt: 10:   4 algebra
  1006.    wt: 10:   2 arithmetic with signed numbers
  1007.    wt: 10:   1 arithmetic with unsigned numbers
  1008.    wt: 10:   What is POMME
  1009.    wt: 10:   Math Ed if it must be short make it lean effective
  1010.    wt: 10:   Mathematics Education Professors
  1011.    wt: 10:   grouping students according to ability
  1012.    wt: 10:   what should be learnt and When
  1013.    wt: 10:   Maps Plans Drawings
  1014.    wt: 10:   Secondary Three Mathematics
  1015.    wt: 10:   Secondary Two Mathematics
  1016.    wt: 10:   Secondary One Mathematics
  1017.    wt: 10:   talk the algebra talk
  1018.    wt: 10:   teaching tutoring algebraic reason
  1019.    wt: 10:   05 13 OldSiteEntrancePage
  1020.    wt: 10:   02 20 mathematics education references
  1021.    wt: 10:   three aims for mathematics students
  1022.    wt: 10:   Different Kinds of Reasoning in maths
  1023.    wt: 10:   three kinds of reason in mathematics
  1024.    wt: 10:   chapitre 07 01 principle D induction mathematique
  1025.    wt: 10:   chapitre 03 A Propos Des Prochains Chapitre
  1026.    wt: 10:   chapitre 02 00 La Communication des idees
  1027.    wt: 10:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  1028.    wt: 10:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  1029.    wt: 10:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  1030.    wt: 10:   10 quadratic exercises
  1031.    wt: 10:   5 quadratics completing the square
  1032.    wt: 10:   3 quadratics factoring by inspection
  1033.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1034.    wt: 10:   7 Formulas for Roots with Logarithms Derivation
  1035.    wt: 10:   1 Calculator Starter Exercises
  1036.    wt: 10:   5 Polynomials Long division Nonlinear divisor
  1037.    wt: 10:   4 Polynomials Long division linear divisor
  1038.    wt: 10:   14 secant function Definition Graph and Inverse
  1039.    wt: 10:   11 arctan left inverse of tangent Graph
  1040.    wt: 10:   10 arctan left inverse of tangent Definition
  1041.    wt: 10:   4 Resultant of a Sum of Movements
  1042.    wt: 10:   Vector and Complex Number Applet
  1043.    wt: 10:   Straight Lines Intersection of
  1044.    wt: 10:   B Straight Line Slope Scaling Properties More
  1045.    wt: 10:   12 Straight Lines Graphing mx plus b
  1046.    wt: 10:   11 Straight Lines Graphing y=mx
  1047.    wt: 10:   10 Straight Lines through Origin Equations More
  1048.    wt: 10:   9 Straight Lines through Origin Equations
  1049.    wt: 10:   5 Tangent Function Graph
  1050.    wt: 10:   25 tangent double angle formula Slope connection
  1051.    wt: 10:   24 tangent Angle Difference Formula
  1052.    wt: 10:   21 sine and cosine Half Angle Formulas
  1053.    wt: 10:   20 sine and cosine Double Angle Formulas
  1054.    wt: 10:   17E Trig Formulas for dot and cross Products
  1055.    wt: 10:   17C sine and cosine double triple angle formulas
  1056.    wt: 10:   17B sine cosine Angle Sum Formulas via cis
  1057.    wt: 10:   17A The complex number valued trig function cis
  1058.    wt: 10:   16 Right Triangle Complementary Angle Relations
  1059.    wt: 10:   15 sine cosine Complementary Angle Relations
  1060.    wt: 10:   10 Graphs of sines and cosines many periods
  1061.    wt: 10:   2 Quadrant I reference Angles
  1062.    wt: 10:   7 Second Way to Calculate Products
  1063.    wt: 10:   5 An Easy Proof of the Distributive Law
  1064.    wt: 10:   1 Rectangular Polar Coordinates Review
  1065.    wt: 10:   8 Triangles Cascade Problem Solving
  1066.    wt: 10:   12 Triangles Similarity More Problems
  1067.    wt: 10:   2 Similarity By Design
  1068.    wt: 10:   7 Exercises to test skill and concept mastery
  1069.    wt: 10:   3 Slope product for perpendicular lines
  1070.    wt: 10:   1 Numerical view of lines and their equations
  1071.    wt: 10:   Euclidean Geometry Elsewhere LINKS
  1072.    wt: 10:   PS C Similarity Use Recognize it in Trigonometry
  1073.    wt: 10:   PS A Kite Construction Methods
  1074.    wt: 10:   19 Right Triangle Similarity
  1075.    wt: 10:   11 Triangle Construction Fails
  1076.    wt: 10:   9 Construction of a right bisector
  1077.    wt: 10:   8 Isoceles Triangles
  1078.    wt: 10:   3 Isometry of Triangles Congruence
  1079.    wt: 10:   2 Correspondence between Triangles
  1080.    wt: 10:   1 Initial Concepts and Terms
  1081.    wt: 10:   Short Course on Euclidean Geometry
  1082.    wt: 10:   A Measurement with Ruler Proper Use
  1083.    wt: 10:   6 Figuring with Maps Not to Scale
  1084.    wt: 10:   23 Distributive Law Two Derivations
  1085.    wt: 10:   14 Vector Head to Tail Sums and Resultants
  1086.    wt: 10:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  1087.    wt: 10:   D Long Division Methods
  1088.    wt: 10:   C Three Decimal Subtraction Methods
  1089.    wt: 10:   6 Column Methods for Decimal Multiplication
  1090.    wt: 10:   2 Combing Counts Addition Skills and Principles
  1091.    wt: 10:   5 Equality in Algebra
  1092.    wt: 10:   2 GE II Comparison
  1093.    wt: 10:   4 Solving a triangular system exercise
  1094.    wt: 10:   6 Algebraic Solution Example
  1095.    wt: 10:   5 Algebraic Solutions Introduction
  1096.    wt: 10:   4 Four Examples Fractional Coefficients
  1097.    wt: 10:   10 Volume of Pyramid
  1098.    wt: 10:   5 Box Volume Formula Example
  1099.    wt: 10:   4 Greater More Less Than Signs in General
  1100.    wt: 10:   3 Comparison of Negative Numbers
  1101.    wt: 10:   6 GCD from Prime
  1102.    wt: 10:   4 Counting with Trees Product Rule Take I
  1103.    wt: 10:   3 Counting with Tables and Trees II
  1104.    wt: 10:   2 Counting with Tables and Trees I
  1105.    wt: 10:   1 Counting and Counting Methods I
  1106.    wt: 10:   3 signed coordinates for maps and planes
  1107.    wt: 10:   2 signed and unsigned numbers as coordinates
  1108.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  1109.    wt: 10:   1 Addition and Subtraction with Units
  1110.    wt: 10:   A Similarities between Fractions and Two Term Ratios
  1111.    wt: 10:   10 Simplification of Fractions and Mixed Numerals
  1112.    wt: 10:   7 Numerals Fractionals Quantals
  1113.    wt: 10:   6 Multiplication Algebraically Take II
  1114.    wt: 10:   1 What is a fraction Take II
  1115.    wt: 10:   18 video Count Factors given Prime Factorization
  1116.    wt: 10:   15 video Factors of 20 using Prime Factorization
  1117.    wt: 10:   13 video Factors of 24 using prime
  1118.    wt: 10:   4 video Prime Factorization Introduction
  1119.    wt: 10:   3 More One Digit Multipliers
  1120.    wt: 10:   2 One Digit Multipliers
  1121.    wt: 10:   014 Counting Days with Calendars
  1122.    wt: 10:   9 Comparison and Subtraction of Time Intervals
  1123.    wt: 10:   29 Chain Rule Optional Reading
  1124.    wt: 10:   28 Chain Rule Preparation for a Proof
  1125.    wt: 10:   27 Chain Rule sinusoidal outer inner functions EGS
  1126.    wt: 10:   16 Derivatives of reciprocals of sine and cosine
  1127.    wt: 10:   15 sine and cosine derivatives 3rd step
  1128.    wt: 10:   14 sine and cosine derivatives 2nd step
  1129.    wt: 10:   13 sine and cosine derivatives 1st step
  1130.    wt: 10:   12 Limits with Parameters and Derivatives Take I
  1131.    wt: 10:   G.2 Lipshitz Conditions Integration Calculus Reform
  1132.    wt: 10:   G.1 Differentiable Functions Rolles Theorem
  1133.    wt: 10:   F.3 Intermediate Value Theorem
  1134.    wt: 10:   F.1 What Functions are Continuous
  1135.    wt: 10:   Appendix A. Reading Guide For Next Appendices
  1136.    wt: 10:   Chapter 2 Implication Rules Forwards and Backwards
  1137.    wt: 10:   Postscript C Consistency as a Tool for Reason
  1138.    wt: 10:   Chapter 19 What is in chapters 20 to 24
  1139.    wt: 10:   Chapter 9 What is in Chapters 10 to 18
  1140.    wt: 10:   Chapter 8 Change of Language
  1141.    wt: 10:   Chapter 3 What is in chapters 4 to 8
  1142.    wt: 10:   6 Measuring via counting or arithmetic the role of fractions
  1143.    wt: 10:   3 Telling Tracking Time Temporal and More Place Sense
  1144.    wt: 10:   More Algebra and Slope based Calculus Preview
  1145.    wt: 10:   Phase 1. Basics Skills with clear take home value 5 to 6 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.

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

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

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

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