Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
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Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

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

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

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

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

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

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

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689 matches:

  1.    wt: 5:   5 Polynomials Long division Nonlinear divisor
  2.    wt: 4:   4 Function notation in and beyond mathematics
  3.    wt: 4:   4 Polynomials Long division linear divisor
  4.    wt: 4:   Rewriting algebraic substitution as function substitutions
  5.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  6.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  7.    wt: 4:   7 Tangent Function is odd on this domain
  8.    wt: 4:   7 Translations Rotations Reflections Dilatations
  9.    wt: 4:   8 Division and Mulplication of Compound Fractions
  10.    wt: 4:   E Long Division Methods more
  11.    wt: 4:   16 Addition Subtraction Comparision Compared
  12.    wt: 4:   13 Fraction Comparison Algebraic View
  13.    wt: 4:   Fraction Operations by Raising Terms A Simple Innovation
  14.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  15.    wt: 4:   Long Division Backwards more
  16.    wt: 4:   7 Long Divison Mistake Catching
  17.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  18.    wt: 4:   6 How long is a million seconds
  19.    wt: 3:   H LAMP Introduction Instructional Concepts
  20.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  21.    wt: 3:   Education Reform Inconsistencies
  22.    wt: 3:   Secondary One Mathematics
  23.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  24.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  25.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  26.    wt: 3:   26 Function definitions done and coming
  27.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  28.    wt: 3:   14 Surjections Injections Bijections
  29.    wt: 3:   13 From one to one to many to one
  30.    wt: 3:   12 Function Domain Recognition Exercises
  31.    wt: 3:   6 Set Existence Formation and Notation
  32.    wt: 3:   5 Function notation for geometric transformations
  33.    wt: 3:   2 Algebraic use of function notation
  34.    wt: 3:   1 Geometric Introduction of Function Notation
  35.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  36.    wt: 3:   30 unit circle calculation of six trigonometric functions
  37.    wt: 3:   What is and is not here
  38.    wt: 3:   PS G Rotation Distributes over Addition
  39.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  40.    wt: 3:   9 Construction of a right bisector
  41.    wt: 3:   26 More Less Greater Than Comparison
  42.    wt: 3:   D Long Division Methods
  43.    wt: 3:   B Decimal Comparison and Subtraction
  44.    wt: 3:   1 What is Proportionality
  45.    wt: 3:   3 Linear Equation Literal Solution More
  46.    wt: 3:   4 Subtraction and Division Axioms
  47.    wt: 3:   3 GE III Equation Addition and Multiplication
  48.    wt: 3:   2 Essentially one exercises three with solution
  49.    wt: 3:   5 Algebraic Solutions Introduction
  50.    wt: 3:   6 Three Notions of What is a Variable
  51.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  52.    wt: 3:   12 Fraction Comparison
  53.    wt: 3:   1 What is a fraction Take II
  54.    wt: 3:   1 What is a fraction
  55.    wt: 3:   B Integer Long Division Multiple Choices
  56.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  57.    wt: 3:   Long Division Backward
  58.    wt: 3:   Long Division forwards and backwards Example 3
  59.    wt: 3:   Long Division forwards and backwards Example 2
  60.    wt: 3:   Long Division forwards and backwards Example 1
  61.    wt: 3:   12 Why Long Division Works Take III
  62.    wt: 3:   10 Division by Five Long and Short Ways
  63.    wt: 3:   9 Why Long Division Works Take II
  64.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  65.    wt: 3:   5 Long Division Include Zeroes or not
  66.    wt: 3:   3 Division Single Digit Divisor Example
  67.    wt: 3:   2 Division with Single Digit Divisors
  68.    wt: 3:   Subtraction with J Conversions Example
  69.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  70.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  71.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  72.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  73.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  74.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  75.    wt: 3:   Volume of Solid by Cross Sections Lesson
  76.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  77.    wt: 3:   F.1 What Functions are Continuous
  78.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  79.    wt: 3:   Postscript C Consistency as a Tool for Reason
  80.    wt: 3:   Postscript B More on Story Telling and Reason
  81.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  82.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  83.    wt: 2:   F LAMP Introduction Prerequisites
  84.    wt: 2:   E LAMP Introduction Modern Mathematics
  85.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  86.    wt: 2:   Ramblings Introduction Algebra Essay
  87.    wt: 2:   What is POMME
  88.    wt: 2:   permissions for teachers
  89.    wt: 2:   links Education Resources online
  90.    wt: 2:   Mathematics Education Professors
  91.    wt: 2:   mathematics in context
  92.    wt: 2:   Secondary Three Mathematics
  93.    wt: 2:   Secondary Two Mathematics
  94.    wt: 2:   mathematics curriculum shifts
  95.    wt: 2:   geometric implications for algebra
  96.    wt: 2:   teaching tutoring algebraic reason
  97.    wt: 2:   three goals for Mathematics Education
  98.    wt: 2:   04 29 New Mathematics Curriculum
  99.    wt: 2:   02 20 mathematics education references
  100.    wt: 2:   mathematics instruction in general
  101.    wt: 2:   Education in mathematics science and technology
  102.    wt: 2:   three kinds of reason in mathematics
  103.    wt: 2:   Motivation and Context Problem
  104.    wt: 2:   need for a mixed mathematics curriculum
  105.    wt: 2:   Leaner mathematics curriculum
  106.    wt: 2:   chapitre 12 00 les iles et division
  107.    wt: 2:   chapitre 06 00 Chaines de la raison
  108.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  109.    wt: 2:   chapitre 04 05 Implication versus suggestion
  110.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  111.    wt: 2:   Trois Notions qui menent a algebre
  112.    wt: 2:   2 Conductance Resistance Duality02
  113.    wt: 2:   1 Conductance Resistance Duality01
  114.    wt: 2:   F Wire Resistance Calculation04
  115.    wt: 2:   E Wire Resistance Calculation03
  116.    wt: 2:   D Wire Resistance Calculation02
  117.    wt: 2:   C Wire Resistance Calculation01
  118.    wt: 2:   C Electromotive force conventional current02
  119.    wt: 2:   B Electromotive force conventional current01
  120.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  121.    wt: 2:   16 Secondary Mathematics Tips
  122.    wt: 2:   13 Addition and Addition Tables
  123.    wt: 2:   sign monoticity analysis example 4
  124.    wt: 2:   sign monoticity analysis example 3
  125.    wt: 2:   sign monoticity analysis example 2
  126.    wt: 2:   sign monoticity analysis example 1
  127.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  128.    wt: 2:   17 Function maxima minima and their location
  129.    wt: 2:   15 Sign analysis of functions
  130.    wt: 2:   8 Set view of relations and functions
  131.    wt: 2:   3 Formula or function graphing exercise
  132.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  133.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  134.    wt: 2:   3 Polynomials Multiplication Addition
  135.    wt: 2:   16 cotangent function Definition Graph and Inverse
  136.    wt: 2:   15 cosecant function Definition Graph and Inverse
  137.    wt: 2:   14 secant function Definition Graph and Inverse
  138.    wt: 2:   13 cosecant function Definition Graph and Inverse
  139.    wt: 2:   5 Swapping Coordinates is a reflection
  140.    wt: 2:   2 cosine function more properties
  141.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  142.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  143.    wt: 2:   Straight Lines ASA Intersection Study More
  144.    wt: 2:   Straight Lines Instersection Solving Equations
  145.    wt: 2:   10 Straight Lines through Origin Equations More
  146.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  147.    wt: 2:   25 tangent double angle formula Slope connection
  148.    wt: 2:   17A The complex number valued trig function cis
  149.    wt: 2:   12 Graph of tangent function for one period
  150.    wt: 2:   1 Unit Points Reflections Rotations
  151.    wt: 2:   9 The complex number valued trig function cis
  152.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  153.    wt: 2:   7 Exercises to test skill and concept mastery
  154.    wt: 2:   8 Distance Between Points on a Line
  155.    wt: 2:   6 Polar Multiplication and Rotation
  156.    wt: 2:   5 Cartesian Addition and Translation
  157.    wt: 2:   PS B Parallelogram Construction Methods
  158.    wt: 2:   PS A Kite Construction Methods
  159.    wt: 2:   11 Triangle Construction Fails
  160.    wt: 2:   6 Ruler and compass Angle Bisection
  161.    wt: 2:   3 Isometry of Triangles Congruence
  162.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  163.    wt: 2:   23 Distributive Law Two Derivations
  164.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  165.    wt: 2:   11 Signed Number Addition and Addition Properties
  166.    wt: 2:   9 Division with Digits after Decimal Point
  167.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  168.    wt: 2:   4 Location of Point in Decimal Addition
  169.    wt: 2:   3 Location of Point in Decimal Multiplication
  170.    wt: 2:   1 Fractions with Finite Decimal Expansions
  171.    wt: 2:   4 Fraction Operations Axiomatic Development
  172.    wt: 2:   2 Fraction Operations Physical Development
  173.    wt: 2:   5 Proportionality in Equivalent Fractions
  174.    wt: 2:   2 Linear Equation Literal Solution
  175.    wt: 2:   2 Addition and Multiplication Axioms
  176.    wt: 2:   4 Comparison of Negative Numbers
  177.    wt: 2:   1 Real Numbers Comparison
  178.    wt: 2:   16 Real Numbers Comparison
  179.    wt: 2:   15 Real Number Division
  180.    wt: 2:   5 Rational Numbers More
  181.    wt: 2:   3 Geometric Formulas and Function Notation
  182.    wt: 2:   2 Computation Rules Evaluation
  183.    wt: 2:   1 Formulas Dependence and Function Notation
  184.    wt: 2:   More Exercises
  185.    wt: 2:   2 GE II Comparison
  186.    wt: 2:   6 Algebraic Solution Example
  187.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  188.    wt: 2:   9 Volume of Cone
  189.    wt: 2:   7 Cautious or Safe Set Construction
  190.    wt: 2:   2 What is a Variable
  191.    wt: 2:   3 Comparison of Negative Numbers
  192.    wt: 2:   5 Common Divisors 60 45 via Prime
  193.    wt: 2:   2 Least Common Multiple LCM intro via list method
  194.    wt: 2:   1 Least Common Multiples LCM Introduction
  195.    wt: 2:   6 Simplification of Fractions with Units
  196.    wt: 2:   1 Addition and Subtraction with Units
  197.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  198.    wt: 2:   11 Simplification an Algebraic View
  199.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  200.    wt: 2:   6 Multiplication Algebraically Take II
  201.    wt: 2:   4 Fraction Multiplication
  202.    wt: 2:   3 Unit fraction of a fraction
  203.    wt: 2:   2 Unit Fraction Multiplication
  204.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  205.    wt: 2:   7 Calculator Usage Notes and Cautions
  206.    wt: 2:   4 video Prime Factorization Introduction
  207.    wt: 2:   Division with Counts and Length
  208.    wt: 2:   4 Division with 2 Digit Divsors
  209.    wt: 2:   A Elementary Basis for Multiplication Methods
  210.    wt: 2:   5 Decimal Fraction Multiplication
  211.    wt: 2:   3 More One Digit Multipliers
  212.    wt: 2:   Video Power Notation in Decimal Expansion
  213.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  214.    wt: 2:   Subtraction Another Video Lesson
  215.    wt: 2:   4. How to add with decimals B with conversions
  216.    wt: 2:   3. How to add with decimals A sans conversions
  217.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  218.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  219.    wt: 2:   Quick history of numbers and algebra
  220.    wt: 2:   Expression Evaluation how to show work
  221.    wt: 2:   012 Division of Time Intervals by Time Intervals
  222.    wt: 2:   011 Division of Time Intervals By Numbers
  223.    wt: 2:   5 Conversion Arithmetic
  224.    wt: 2:   Example 2 volume of a cone
  225.    wt: 2:   4 Definite Integrals Evaluation Exercises
  226.    wt: 2:   A Related lessons in Volume 3
  227.    wt: 2:   4 Second derivative test exercise example
  228.    wt: 2:   34 Derivative of exponential function
  229.    wt: 2:   26 Chain Rule Recognising outer inner functions
  230.    wt: 2:   3 Motivation for Limit Definition Take 2
  231.    wt: 2:   2 Motivation for Limit Definition Take 1
  232.    wt: 2:   9 Limits Continuity and Composition
  233.    wt: 2:   7 Evaluation by immediate or delayed substitution
  234.    wt: 2:   3 Decimal insights for limits continuity convergence
  235.    wt: 2:   2 Algebraic codification
  236.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  237.    wt: 2:   D2 Limits of Monotone Sequences
  238.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  239.    wt: 2:   Chapter 4. More Slope Sign Analysis
  240.    wt: 2:   Postscript More on Better Performance
  241.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  242.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  243.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  244.    wt: 2:   Postscript What is a Variable
  245.    wt: 2:   Solutions For Arithmetic Exercises
  246.    wt: 2:   Chapter 4 Longer Chains of Reason
  247.    wt: 2:   Postscript B Mathematics Education References
  248.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  249.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  250.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  251.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  252.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  253.    wt: 2:   Chapter 7 Longer Chains of Reason
  254.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  255.    wt: 2:   O On Learning Mathematics and Science
  256.    wt: 2:   J. More on written work and showing skill
  257.    wt: 2:   H more Routine to non routine problem solving
  258.    wt: 2:   Chapter 6 More Algebra and Geometry
  259.    wt: 2:   Chapter 3 Algebra Starter Lessons
  260.    wt: 2:   Mathematics Education References
  261.    wt: 2:   Mathematics Education References
  262.    wt: 2:   Implementation Notes
  263.    wt: 2:   More Algebra and Slope based Calculus Preview
  264.    wt: 2:   Systematic Algebra Skill Development Missing Links
  265.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  266.    wt: 1:   K LAMP Musings Science Education
  267.    wt: 1:   J LAMP Introduction Extrinsic Origins
  268.    wt: 1:   I LAMP Introduction Study Habits
  269.    wt: 1:   G LAMP Introduction Problem Solving Skills
  270.    wt: 1:   A Introduction Objectives
  271.    wt: 1:   Skills Chapter 3 Algebra
  272.    wt: 1:   Skills Chapter 0 Introduction
  273.    wt: 1:   11 pure mathematics
  274.    wt: 1:   10 statistics
  275.    wt: 1:   7 logic review and decimals an odd combination
  276.    wt: 1:   5 logarithms and exponentials etc
  277.    wt: 1:   4 algebra
  278.    wt: 1:   About site lesson plans
  279.    wt: 1:   key notes and themes
  280.    wt: 1:   teacher certification
  281.    wt: 1:   modern education
  282.    wt: 1:   what should be learnt and When
  283.    wt: 1:   talk the algebra talk
  284.    wt: 1:   What to Tell Students
  285.    wt: 1:   Lessening Algebra Difficulties
  286.    wt: 1:   the trouble with algebra
  287.    wt: 1:   three aims for mathematics students
  288.    wt: 1:   Operational Viewpoint to Value
  289.    wt: 1:   Different Kinds of Reasoning in maths
  290.    wt: 1:   Four ways to improve education reform
  291.    wt: 1:   education an empirical art
  292.    wt: 1:   fairness and inductive principles for instruction
  293.    wt: 1:   words for mathematics instructor
  294.    wt: 1:   chapitre 07 01 principle D induction mathematique
  295.    wt: 1:   chapitre 05 00 Deception
  296.    wt: 1:   chapitre 04 08 Limitations et benefices
  297.    wt: 1:   chapitre 04 04 Parlons de la logique
  298.    wt: 1:   chapitre 04 00 Les regles d implication
  299.    wt: 1:   chapitre 02 00 La Communication des idees
  300.    wt: 1:   chapitre 01 00 Introduction
  301.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  302.    wt: 1:   problemes responses
  303.    wt: 1:   deux definitions pour variable
  304.    wt: 1:   B Wire Resistance Qualitative02
  305.    wt: 1:   A Wire Resistance Qualitative01
  306.    wt: 1:   3 Like resistors in parallel
  307.    wt: 1:   2 Unlike resistors in parallel01
  308.    wt: 1:   1 Like resistors in series
  309.    wt: 1:   F Unlike Resistors in Series
  310.    wt: 1:   E Kirchoffs Second Law
  311.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  312.    wt: 1:   22 Student Centered Highschool Mathematics
  313.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  314.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  315.    wt: 1:   18 Primary School Mathematics
  316.    wt: 1:   14 Multiplication and Times Tables
  317.    wt: 1:   12 Goals and Objectives For Mathematics
  318.    wt: 1:   11 Help and Defend Your Child or Teens Education
  319.    wt: 1:   10 Ends values for work study instruction
  320.    wt: 1:   9 Streaming by Student Cooperation
  321.    wt: 1:   7 Student Motivation
  322.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  323.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  324.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  325.    wt: 1:   23 Inverse Functions
  326.    wt: 1:   22 Square Root function graphically
  327.    wt: 1:   20 Interchanging coordinates a reflection
  328.    wt: 1:   19 Horizontal line rule and method
  329.    wt: 1:   16 Increasing or decreasing on intervals
  330.    wt: 1:   11 Function Domain Range Source and Targets
  331.    wt: 1:   10 Interval Notation
  332.    wt: 1:   9 Set theory term relation possible origins
  333.    wt: 1:   7 Functions with finite domains
  334.    wt: 1:   Introduction Reading Guide
  335.    wt: 1:   10 quadratic exercises
  336.    wt: 1:   9 quadratics physical and further context
  337.    wt: 1:   7 quadratic formulla derivation
  338.    wt: 1:   3 quadratics factoring by inspection
  339.    wt: 1:   1 quadratics graphing exercises
  340.    wt: 1:   10 Exponential Growth and Decay Models
  341.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  342.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  343.    wt: 1:   5 Natural Logarithm Calculator Exercises
  344.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  345.    wt: 1:   2 Square Root Simplification a prequel
  346.    wt: 1:   1 Calculator Starter Exercises
  347.    wt: 1:   8 Notes for instructors or tutors
  348.    wt: 1:   7 Links Lessons Elsewhere
  349.    wt: 1:   2 Column Multiplication Method
  350.    wt: 1:   1 Polynomials Distributive Law
  351.    wt: 1:   12 motivation for term arctan
  352.    wt: 1:   10 arctan left inverse of tangent Definition
  353.    wt: 1:   9 motivation for name arcsin
  354.    wt: 1:   7 arcsin left inverse of sine Definition
  355.    wt: 1:   6 Graph of arccos function
  356.    wt: 1:   4 possible motivation for term arccos
  357.    wt: 1:   3 Left Inverse of cosine arccos definition
  358.    wt: 1:   1 cosine function properties
  359.    wt: 1:   8 Radian Measures of Common Angles
  360.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  361.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  362.    wt: 1:   2 Radian Measure Numerical Value of one degree
  363.    wt: 1:   1 Degrees and Radians Introduction
  364.    wt: 1:   A Global Time and Navigation
  365.    wt: 1:   12 From Applied To Pure Mathematics
  366.    wt: 1:   11 Component Method
  367.    wt: 1:   10 Parallelogram Addition Method
  368.    wt: 1:   5 Head To Tail Arrow Addition
  369.    wt: 1:   3 Navigation with Arrows or Vectors
  370.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  371.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  372.    wt: 1:   Straight Lines ASA Intersection Study
  373.    wt: 1:   Straight Lines Intersection of
  374.    wt: 1:   B Straight Line Slope Scaling Properties More
  375.    wt: 1:   14 Straight Lines Equations General Case
  376.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  377.    wt: 1:   9 Straight Lines through Origin Equations
  378.    wt: 1:   8 Straight Lines Equation for vertical
  379.    wt: 1:   5 Tangent Function Graph
  380.    wt: 1:   4 Tangent Function Properties
  381.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  382.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  383.    wt: 1:   1 Straight Lines Slope Concept
  384.    wt: 1:   17 tangent function angle sum formulas
  385.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  386.    wt: 1:   17G Pythagorean Theorem Converse
  387.    wt: 1:   17D cis formulas for sine cosines and tangent
  388.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  389.    wt: 1:   16 Right Triangle Complementary Angle Relations
  390.    wt: 1:   15 sine cosine Complementary Angle Relations
  391.    wt: 1:   13 Graph of tangent function many periods
  392.    wt: 1:   11 tangent function undefined when terminal side vertical
  393.    wt: 1:   9 Graphs of sine and cosine over one period
  394.    wt: 1:   8 period of tangent function
  395.    wt: 1:   Unit Circle Development of Trigonometry
  396.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  397.    wt: 1:   21 Logarithms Powers and Exponentials
  398.    wt: 1:   16 References and Originality Question
  399.    wt: 1:   15 Pythagorean Theorem Converse
  400.    wt: 1:   12 cis formulas for sine cosines and tangent
  401.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  402.    wt: 1:   8 Unit Circle Development of Trigonometry
  403.    wt: 1:   7 Second Way to Calculate Products
  404.    wt: 1:   5 An Easy Proof of the Distributive Law
  405.    wt: 1:   4 Multiplication Properties
  406.    wt: 1:   3 Addition Properties
  407.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  408.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  409.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  410.    wt: 1:   3 Trigonometric Ratios sine and cosine
  411.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  412.    wt: 1:   Why Trigonometry the whyslopes view
  413.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  414.    wt: 1:   12 Triangles Similarity More Problems
  415.    wt: 1:   11 Triangle Similarity Missing Side Problem
  416.    wt: 1:   8 Similarity of Triangles and Polygons
  417.    wt: 1:   4 Similarity Definition with Coordinate
  418.    wt: 1:   1 Early Concept of Like or Similar Shapes
  419.    wt: 1:   Four Simple Exercises
  420.    wt: 1:   12 Links Lessons elsewhere
  421.    wt: 1:   6 Intersection of lines by solving linear systems
  422.    wt: 1:   5 Algebraic View of Slopes
  423.    wt: 1:   4 Equations for lines three forms
  424.    wt: 1:   2 point slope equation for a line
  425.    wt: 1:   1 Numerical view of lines and their equations
  426.    wt: 1:   13 Pythagorean spatial distance formulas
  427.    wt: 1:   10 Pythagorean plane distance formula
  428.    wt: 1:   PS H Distributive Law For Complex Numbers
  429.    wt: 1:   PS E Multiplication with Polar Coordinates
  430.    wt: 1:   PS D Addition with Cartesian Coordinates
  431.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  432.    wt: 1:   17 Right Bisectors of Triangle Sides
  433.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  434.    wt: 1:   8 Isoceles Triangles
  435.    wt: 1:   2 Correspondence between Triangles
  436.    wt: 1:   1 Initial Concepts and Terms
  437.    wt: 1:   Short Course on Euclidean Geometry
  438.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  439.    wt: 1:   4 Angles on Maps Plans drawn to scale
  440.    wt: 1:   3 Lengths and Areas on Maps and Plans
  441.    wt: 1:   About Folder Contents
  442.    wt: 1:   musings do not puiblish real numbers
  443.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  444.    wt: 1:   22 Multiplication of Signed Numbers
  445.    wt: 1:   21 Addition of Multiples of a Single Vector
  446.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  447.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  448.    wt: 1:   15 Head to Tails in place Addition Associative
  449.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  450.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  451.    wt: 1:   2 Counting Digits in Decimal Multiplication
  452.    wt: 1:   C Three Decimal Subtraction Methods
  453.    wt: 1:   A Decimal Addition Columm Methods
  454.    wt: 1:   8 Column Multiplication Methods in General
  455.    wt: 1:   7 Decimals Multiplication Methods Examples
  456.    wt: 1:   6 Column Methods for Decimal Multiplication
  457.    wt: 1:   5 Distributive Law for Whole Numbers
  458.    wt: 1:   2 Combing Counts Addition Skills and Principles
  459.    wt: 1:   5 Areas of Rectangles Revisited
  460.    wt: 1:   3 Inequalities Algebraically
  461.    wt: 1:   4 Rates Ratios and Proporitionality
  462.    wt: 1:   3 Proportionality Examples
  463.    wt: 1:   2 Algebraic View
  464.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  465.    wt: 1:   1 Changing Calculations
  466.    wt: 1:   6 Equations and Systems Equivalent or Implied
  467.    wt: 1:   5 Equality in Algebra
  468.    wt: 1:   1 Equivalent Computation Rules
  469.    wt: 1:   5 Greater More Less Than Signs in General
  470.    wt: 1:   3 More and Less Than with Unlike Signs
  471.    wt: 1:   2 More and Less Than for Counts and Measures
  472.    wt: 1:   14 Real Number Multiplication
  473.    wt: 1:   13 Real Number Subtraction
  474.    wt: 1:   11 Real Number Addition
  475.    wt: 1:   9 Coordinates for Regions in Space
  476.    wt: 1:   4 Rational Numbers
  477.    wt: 1:   3 Fractions
  478.    wt: 1:   Simple Exercises
  479.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  480.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  481.    wt: 1:   1 GE Substitution four examples
  482.    wt: 1:   4 Solving a triangular system exercise
  483.    wt: 1:   1 Essentially One Unknown
  484.    wt: 1:   4 Four Examples Fractional Coefficients
  485.    wt: 1:   Skill Development Notes
  486.    wt: 1:   10 One Example
  487.    wt: 1:   8 One Example
  488.    wt: 1:   11 Volume of Sphere
  489.    wt: 1:   10 Volume of Pyramid
  490.    wt: 1:   8 Compound Interest Formula Evaluation
  491.    wt: 1:   7 Compound Interest Formula Introduction
  492.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  493.    wt: 1:   5 Box Volume Formula Example
  494.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  495.    wt: 1:   9 Sets in Probability and Statistics
  496.    wt: 1:   6 Power Set Notation
  497.    wt: 1:   5 Product Builder Notation
  498.    wt: 1:   4 Subset Builder Notation
  499.    wt: 1:   4 A Brief Story of numbers and algebra
  500.    wt: 1:   1 Three Skills For Algebra
  501.    wt: 1:   About Folder Contents
  502.    wt: 1:   4 Greater More Less Than Signs in General
  503.    wt: 1:   2 More and Less Than with Unlike Signs
  504.    wt: 1:   1 More and Less Than for Counts and Measures
  505.    wt: 1:   5 Square Roots with primes more still
  506.    wt: 1:   4 Square Roots with primes more
  507.    wt: 1:   1 Squares and Square Roots Introduction
  508.    wt: 1:   13 GCD from given Prime Factorization
  509.    wt: 1:   7 GCD and LCM from prime factorization
  510.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  511.    wt: 1:   11 What are real lengths and numbers
  512.    wt: 1:   4 signed coordinates for regions in space
  513.    wt: 1:   7 Converting or Changing Units
  514.    wt: 1:   4 Fractions with Units
  515.    wt: 1:   B Fractions and Two Term Ratios
  516.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  517.    wt: 1:   22 Complex Compound Fractions
  518.    wt: 1:   21 Reciprocals for Fractions and Wholes
  519.    wt: 1:   20 Dividing Fractions the Why
  520.    wt: 1:   19 Dividing Fractions How TO
  521.    wt: 1:   9 Improper Fractions and Mixed Numbers
  522.    wt: 1:   8 Numerals Fractionals Quantals Take II
  523.    wt: 1:   7 Numerals Fractionals Quantals
  524.    wt: 1:   6 Multiplication of Mixed Numbers
  525.    wt: 1:   5 Equivalent Fractions
  526.    wt: 1:   13 Subtraction with Additive Inverse
  527.    wt: 1:   12 Adding Integers More Examples
  528.    wt: 1:   10 Integer Multiplication Formulas
  529.    wt: 1:   8 Multiplication by Signed Numbers Integers
  530.    wt: 1:   7 Multiplication by Signs
  531.    wt: 1:   6 Multiplication by Natural Numbers
  532.    wt: 1:   4 Adding Movements wiht opposite directions
  533.    wt: 1:   3 Adding Movements with same direction
  534.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  535.    wt: 1:   26 Divisibility by 2 3 5 Example
  536.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  537.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  538.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  539.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  540.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  541.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  542.    wt: 1:   20 Uniqueness of Prime Factorization
  543.    wt: 1:   19 video Prime Factorization Unique
  544.    wt: 1:   18 video Count Factors given Prime Factorization
  545.    wt: 1:   15 video Factors of 20 using Prime Factorization
  546.    wt: 1:   10 video Prime Factorization upto 23 squared
  547.    wt: 1:   9 video Prime Factorization upto 19 squared
  548.    wt: 1:   8 video Prime Factorization upto 19
  549.    wt: 1:   5 Prime Factorization and a Square Rule
  550.    wt: 1:   11 Another Single Digit Divisor Example
  551.    wt: 1:   8 Correcting the Mistake
  552.    wt: 1:   1 Divsion Physical Examples
  553.    wt: 1:   D Decimal Multiplication Methods Derived
  554.    wt: 1:   6 Multiplication Commutes Order Not Important
  555.    wt: 1:   2 One Digit Multipliers
  556.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  557.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  558.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  559.    wt: 1:   9 22 Minute Subtraction Review Video
  560.    wt: 1:   8 Subtraction with Units of Measure
  561.    wt: 1:   5 A Tip for Efficent Subtraction
  562.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  563.    wt: 1:   2 Subtraction Easy Case Examples
  564.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  565.    wt: 1:   8 What skills and work habits to require
  566.    wt: 1:   7 Adding decimal fractions using decimal point
  567.    wt: 1:   1. Explaining Addition Table
  568.    wt: 1:   11 Place Value SI Standard International way
  569.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  570.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  571.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  572.    wt: 1:   Exact Arithmetic Wholes and Fractions
  573.    wt: 1:   Formula Evaluation how to show work
  574.    wt: 1:   The 12 Times Table Visually
  575.    wt: 1:   About folder contents
  576.    wt: 1:   010 Repeated Addition of Time Intervals
  577.    wt: 1:   8 Addition of Time Intervals via subtotaling
  578.    wt: 1:   7 Addition of Time Intervals
  579.    wt: 1:   Example 1 volume of a pyramid
  580.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  581.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  582.    wt: 1:   Example 4 with x function of y
  583.    wt: 1:   Area Between Curves Lesson Take 2
  584.    wt: 1:   Area Between Curves Lesson Take 1
  585.    wt: 1:   A Related Material in Volume 3
  586.    wt: 1:   5 Area Under Curve Exercise
  587.    wt: 1:   3 Two Chain Rule Method Exercises
  588.    wt: 1:   2 Indefinite Integrals Exercises
  589.    wt: 1:   1 Chain Rule in Reverse Integration Method
  590.    wt: 1:   3 Second derivative test
  591.    wt: 1:   2 Second derivative test prequel
  592.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  593.    wt: 1:   31 Derivatives of inverse functions
  594.    wt: 1:   29 Chain Rule Optional Reading
  595.    wt: 1:   28 Chain Rule Preparation for a Proof
  596.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  597.    wt: 1:   25 Chain Rule Animated Examples Continued
  598.    wt: 1:   19 Chain Rule for linear functions
  599.    wt: 1:   18 Chain Rule Introduction
  600.    wt: 1:   8 Differentiation of polynomials
  601.    wt: 1:   7 Animated Differentiation Examples
  602.    wt: 1:   10 Three one sided limits with infinite values
  603.    wt: 1:   6 Continuity at a point
  604.    wt: 1:   5 Jumps and absence of unlimited error control
  605.    wt: 1:   1 Numerical introduction
  606.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  607.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  608.    wt: 1:   G.5 Motions With Bounded Velocities
  609.    wt: 1:   G.3 Constant Difference Theorem Proof
  610.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  611.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  612.    wt: 1:   F.5a Equicontinuity Theorems
  613.    wt: 1:   E2 Algebraic Properties of Limits
  614.    wt: 1:   E1 Error Control Inequalities
  615.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  616.    wt: 1:   A1. Introduction
  617.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  618.    wt: 1:   Chapter 23 Links To Trigonometry
  619.    wt: 1:   Chapter 21 Arrow Addition
  620.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  621.    wt: 1:   Chapter 18. Slopes Areas Integration
  622.    wt: 1:   Chapter 17. Area Approximation
  623.    wt: 1:   Chapter 16. Velocity Approximation
  624.    wt: 1:   Chapter 15. Slope Approximation
  625.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  626.    wt: 1:   Chapter 13. Acceleration
  627.    wt: 1:   Chapter 11. Graphing Slope versus Position
  628.    wt: 1:   Chapter 8. Slope Interpretation
  629.    wt: 1:   Chapter 3. Slope Sign Analysis
  630.    wt: 1:   Chapter 1.Introduction
  631.    wt: 1:   Appendix E. How To Study Mathematics and Why
  632.    wt: 1:   Appendix D. What to do in School and Why
  633.    wt: 1:   Chapter 31 Direct and Indirect Reason
  634.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  635.    wt: 1:   Chapter 25. Mathematical Induction Examples
  636.    wt: 1:   Chapter 23. Notation For Sums
  637.    wt: 1:   Chapter 19. Functions and Sets
  638.    wt: 1:   Chapter 18. Rules for Algebra
  639.    wt: 1:   Chapter 15. Solving Linear Equations
  640.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  641.    wt: 1:   Chapter 13. Second Reading Guide
  642.    wt: 1:   Chapter 10 Describing and Changing Calculations
  643.    wt: 1:   Chapter 8 Three Skills For Algebra
  644.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  645.    wt: 1:   Chapter 3 Chains of Reason
  646.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  647.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  648.    wt: 1:   Chapter 11 Elementary Instruction
  649.    wt: 1:   Chapter 10 Transition
  650.    wt: 1:   Chapter 8 Modern Instruction
  651.    wt: 1:   Chapter 3 Algebra Difficulties
  652.    wt: 1:   Chapter 2 For and Against Mathematics
  653.    wt: 1:   Chapter 1 Introduction
  654.    wt: 1:   Chapter 24 Direct and Indirect Reason
  655.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  656.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  657.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  658.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  659.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  660.    wt: 1:   Chapter 10 Responsibility
  661.    wt: 1:   Chapter 6 Chains of Reason
  662.    wt: 1:   Chapter 5 Deception
  663.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  664.    wt: 1:   Chapter 1 Introduction
  665.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  666.    wt: 1:   S Adding words to algebra
  667.    wt: 1:   R Why Learn Mathematics Skills
  668.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  669.    wt: 1:   N Mathematics Prepare for College Studies
  670.    wt: 1:   N Improving Marks on Tests and Finals
  671.    wt: 1:   D. Check work a must with a caution
  672.    wt: 1:   How to Build Skills and Confidence
  673.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  674.    wt: 1:   7 Games and Activities for Instruction
  675.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  676.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  677.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  678.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  679.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  680.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  681.    wt: 1:   Helping the Blind in Logic and Mathematics
  682.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  683.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  684.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  685.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  686.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  687.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  688.    wt: 1:   Road Safety Questions
  689.    wt: 1:   The Math Forum and Site Content

Extended Search

1056 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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