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

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

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

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

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

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

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

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  1.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  2.    wt: 2:   LAMP Lean Applied Mathematics Program/
  3.    wt: 2:   Parent Center/
  4.    wt: 2:   3 Quadratics Geometrically/
  5.    wt: 2:   13 Vectors/
  6.    wt: 2:   12 Function Translating and Rescaling/
  7.    wt: 2:   3 Cartesian and Polar Coordinates/
  8.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  9.    wt: 2:   2 Formula Forward Use Evaluation/
  10.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  11.    wt: 2:   3 Prime Factorization Skills/
  12.    wt: 2:   Advanced Calculus Volume 3 Appendices/
  13.    wt: 2:   Mathematics Skill Development Framework/
  14.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  15.    wt: 1:   Mathematics Education Essays/
  16.    wt: 1:   Mathematics Skills Year by Year/
  17.    wt: 1:   9 Proportionality Backwards and Forwards/
  18.    wt: 1:   8 Unifying Theme For Algebra/
  19.    wt: 1:   Step 4 Gaussian Elimination/
  20.    wt: 1:   Step 1 Stick diagram and fractions/
  21.    wt: 1:   3 Solving Linear Equations/
  22.    wt: 1:   C Decimal Multiplication Methods/
  23.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  24.    wt: 1:   4 Lessons on Using Derivatives/
  25.    wt: 1:   38 Lessons on Calculating Derivatives/
  26.    wt: 1:   13 Lessons on Limits and Continuity/
  27.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  28.    wt: 1:   Volume 2 Three Skills For Algebra/
  29.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  30.    wt: 1:   Mathematics 506 Lessons/
  31.    wt: 1:   Secondary Mathematics A Practical Approach/
  32.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

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364 matches:

  1.    wt: 3:   12 Goals and Objectives For Mathematics
  2.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  3.    wt: 3:   13 Trig Formulas for dot and cross Products
  4.    wt: 3:   12 cis formulas for sine cosines and tangent
  5.    wt: 3:   38 Formulas and derivatives for powers and roots
  6.    wt: 2:   three goals for Mathematics Education
  7.    wt: 2:   three aims for mathematics students
  8.    wt: 2:   formal or informal peer review
  9.    wt: 2:   need for a mixed mathematics curriculum
  10.    wt: 2:   Prequel In For A Penny In For A Pound
  11.    wt: 2:   words for mathematics instructor
  12.    wt: 2:   22 Student Centered Highschool Mathematics
  13.    wt: 2:   3 Preparing for Science Studies
  14.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  15.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  16.    wt: 2:   5 Function notation for geometric transformations
  17.    wt: 2:   3 Formula or function graphing exercise
  18.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  19.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  20.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  21.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  22.    wt: 2:   12 motivation for term arctan
  23.    wt: 2:   12 From Applied To Pure Mathematics
  24.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  25.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  26.    wt: 2:   26 Formulas for products of sines and cosines
  27.    wt: 2:   17E Trig Formulas for dot and cross Products
  28.    wt: 2:   17D cis formulas for sine cosines and tangent
  29.    wt: 2:   12 Graph of tangent function for one period
  30.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  31.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  32.    wt: 2:   4 Equations for lines three forms
  33.    wt: 2:   3 Slope product for perpendicular lines
  34.    wt: 2:   13 Pythagorean spatial distance formulas
  35.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  36.    wt: 2:   3 Product Axioms Two Forms
  37.    wt: 2:   3 Geometric Formulas and Function Notation
  38.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  39.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  40.    wt: 2:   Formula Usage Show Work Format
  41.    wt: 2:   13 Naming Identifying Formulas with Words
  42.    wt: 2:   3 Triangle Area Formula Example
  43.    wt: 2:   1 Written work formats for developing and showing skill
  44.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  45.    wt: 2:   3 signed coordinates for maps and planes
  46.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  47.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  48.    wt: 2:   Long Division forwards and backwards Example 3
  49.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  50.    wt: 2:   33 Chain Rule Real Player video examples
  51.    wt: 2:   3 Motivation for Limit Definition Take 2
  52.    wt: 2:   3 Decimal insights for limits continuity convergence
  53.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  54.    wt: 2:   Postscript For Better Performance
  55.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  56.    wt: 2:   Chapter 23. Notation For Sums
  57.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  58.    wt: 2:   Chapter 13. Second Reading Guide
  59.    wt: 2:   Chapter 12. Shorthand Usage Guide
  60.    wt: 2:   Chapter 2 For and Against Mathematics
  61.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  62.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  63.    wt: 2:   N Mathematics Prepare for College Studies
  64.    wt: 2:   G. Written work formats for developing and showing skill
  65.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  66.    wt: 1:   E LAMP Introduction Modern Mathematics
  67.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  68.    wt: 1:   Skills Chapter 3 Algebra
  69.    wt: 1:   11 pure mathematics
  70.    wt: 1:   3 Euclidean Geometry Leanly
  71.    wt: 1:   three goals to set for students
  72.    wt: 1:   permissions for teachers
  73.    wt: 1:   activities for students
  74.    wt: 1:   Mathematics Education Professors
  75.    wt: 1:   mathematics in context
  76.    wt: 1:   Education Reform Inconsistencies
  77.    wt: 1:   Secondary Three Mathematics
  78.    wt: 1:   Secondary Two Mathematics
  79.    wt: 1:   Secondary One Mathematics
  80.    wt: 1:   mathematics curriculum shifts
  81.    wt: 1:   geometric implications for algebra
  82.    wt: 1:   05 13 OldSiteEntrancePage
  83.    wt: 1:   04 29 New Mathematics Curriculum
  84.    wt: 1:   02 21 words for teachers
  85.    wt: 1:   02 20 mathematics education references
  86.    wt: 1:   standards for course material
  87.    wt: 1:   mathematics instruction in general
  88.    wt: 1:   Education in mathematics science and technology
  89.    wt: 1:   three kinds of reason in mathematics
  90.    wt: 1:   Four ways to improve education reform
  91.    wt: 1:   Leaner mathematics curriculum
  92.    wt: 1:   fairness and inductive principles for instruction
  93.    wt: 1:   chapitre 12 00 les iles et division
  94.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  95.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  96.    wt: 1:   3 Energy Power Heat08
  97.    wt: 1:   C Energy Power03
  98.    wt: 1:   E Wire Resistance Calculation03
  99.    wt: 1:   3 Like resistors in parallel
  100.    wt: 1:   C Electromotive force conventional current02
  101.    wt: 1:   B Electromotive force conventional current01
  102.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  103.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  104.    wt: 1:   24 Standards For Skill Develoment Take II
  105.    wt: 1:   24 Standards For Skill Develoment
  106.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  107.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  108.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  109.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  110.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  111.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  112.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  113.    wt: 1:   18 Primary School Mathematics
  114.    wt: 1:   17 Math Booklets for children and young teenagers
  115.    wt: 1:   16 Secondary Mathematics Tips
  116.    wt: 1:   15 Counting For Parents
  117.    wt: 1:   13 Addition and Addition Tables
  118.    wt: 1:   10 Ends values for work study instruction
  119.    wt: 1:   5 Patience Please for Yourself and Your Charges
  120.    wt: 1:   4 Learning Takes Time and Effort
  121.    wt: 1:   Ages 12 to 14 Skills with take home value
  122.    wt: 1:   Ages 12 to 14 Geometry
  123.    wt: 1:   Ages 12 to 14 Arithmetic
  124.    wt: 1:   Ages 10 to 12 Geometry
  125.    wt: 1:   Ages 10 to 12 Arithmetic
  126.    wt: 1:   Ages 3 plus to 4 plus
  127.    wt: 1:   sign monoticity analysis example 3
  128.    wt: 1:   23 Inverse Functions
  129.    wt: 1:   13 From one to one to many to one
  130.    wt: 1:   12 Function Domain Recognition Exercises
  131.    wt: 1:   6 Set Existence Formation and Notation
  132.    wt: 1:   4 Function notation in and beyond mathematics
  133.    wt: 1:   Introduction Reading Guide
  134.    wt: 1:   8 quadratics backward use of various formulas
  135.    wt: 1:   7 quadratic formulla derivation
  136.    wt: 1:   3 quadratics factoring by inspection
  137.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  138.    wt: 1:   8 Notes for instructors or tutors
  139.    wt: 1:   3 Polynomials Multiplication Addition
  140.    wt: 1:   13 cosecant function Definition Graph and Inverse
  141.    wt: 1:   9 motivation for name arcsin
  142.    wt: 1:   4 possible motivation for term arccos
  143.    wt: 1:   3 Left Inverse of cosine arccos definition
  144.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  145.    wt: 1:   13 Velocity Vectors in Physics
  146.    wt: 1:   3 Navigation with Arrows or Vectors
  147.    wt: 1:   3 graphing y=f(x c) plus K
  148.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  149.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  150.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  151.    wt: 1:   12 Straight Lines Graphing mx plus b
  152.    wt: 1:   8 Straight Lines Equation for vertical
  153.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  154.    wt: 1:   17 tangent function angle sum formulas
  155.    wt: 1:   32 seven rows of pascals triangle
  156.    wt: 1:   31 basic secant cosecant cotangent trig identities
  157.    wt: 1:   30 unit circle calculation of six trigonometric functions
  158.    wt: 1:   29 secant cosecant and cotangent for acute angles
  159.    wt: 1:   25 tangent double angle formula Slope connection
  160.    wt: 1:   24 tangent Angle Difference Formula
  161.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  162.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  163.    wt: 1:   21 sine and cosine Half Angle Formulas
  164.    wt: 1:   20 sine and cosine Double Angle Formulas
  165.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  166.    wt: 1:   17C sine and cosine double triple angle formulas
  167.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  168.    wt: 1:   13 Graph of tangent function many periods
  169.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  170.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  171.    wt: 1:   11 sine and cosine double triple angle formulas
  172.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  173.    wt: 1:   3 Addition Properties
  174.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  175.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  176.    wt: 1:   3 Trigonometric Ratios sine and cosine
  177.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  178.    wt: 1:   12 Triangles Similarity More Problems
  179.    wt: 1:   3 Similarity by Design with coordinates
  180.    wt: 1:   12 Links Lessons elsewhere
  181.    wt: 1:   8 Mid Point Formula
  182.    wt: 1:   2 point slope equation for a line
  183.    wt: 1:   12 Spatial Coordinates
  184.    wt: 1:   10 Pythagorean plane distance formula
  185.    wt: 1:   3 Rectangular Coordinates Review
  186.    wt: 1:   PS H Distributive Law For Complex Numbers
  187.    wt: 1:   13 Angle Side Angle Failure
  188.    wt: 1:   12 Side Angle Side Failure
  189.    wt: 1:   3 Isometry of Triangles Congruence
  190.    wt: 1:   3 Lengths and Areas on Maps and Plans
  191.    wt: 1:   23 Distributive Law Two Derivations
  192.    wt: 1:   13 Arrows and Vectors in a Plane
  193.    wt: 1:   12 Real Numbers Line Signed Coordinates
  194.    wt: 1:   3 Location of Point in Decimal Multiplication
  195.    wt: 1:   6 Column Methods for Decimal Multiplication
  196.    wt: 1:   5 Distributive Law for Whole Numbers
  197.    wt: 1:   4 Commutative Law Groups Counting Form
  198.    wt: 1:   3 Multiplicative Counting Skills Principles
  199.    wt: 1:   3 Inequalities Algebraically
  200.    wt: 1:   3 Proportionality Examples
  201.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  202.    wt: 1:   6 Compound Interest Forward and Backwards
  203.    wt: 1:   5 Triangle Area Formula Backwards
  204.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  205.    wt: 1:   3 Linear Equation Literal Solution More
  206.    wt: 1:   3 More and Less Than with Unlike Signs
  207.    wt: 1:   2 More and Less Than for Counts and Measures
  208.    wt: 1:   13 Real Number Subtraction
  209.    wt: 1:   12 Real Number Additive Inverses or Negatives
  210.    wt: 1:   9 Coordinates for Regions in Space
  211.    wt: 1:   8 Coordinates for Maps and Planes
  212.    wt: 1:   3 Fractions
  213.    wt: 1:   1 Formulas Dependence and Function Notation
  214.    wt: 1:   3 GE III Equation Addition and Multiplication
  215.    wt: 1:   3 Solving triangular system example
  216.    wt: 1:   3 Four Examples
  217.    wt: 1:   3 Two Examples
  218.    wt: 1:   Using Letters for Physical Quantities
  219.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  220.    wt: 1:   8 Compound Interest Formula Evaluation
  221.    wt: 1:   7 Compound Interest Formula Introduction
  222.    wt: 1:   5 Box Volume Formula Example
  223.    wt: 1:   4 Circle Area Formula Example
  224.    wt: 1:   2 Another Rectangle Area Formula Example
  225.    wt: 1:   3 Counting with Sets etc
  226.    wt: 1:   3 Adding Words To Arithmetic
  227.    wt: 1:   1 Three Skills For Algebra
  228.    wt: 1:   arithmetic videos Real Player Format
  229.    wt: 1:   3 Comparison of Negative Numbers
  230.    wt: 1:   1 More and Less Than for Counts and Measures
  231.    wt: 1:   3 Properties of Square Roots with example
  232.    wt: 1:   13 GCD from given Prime Factorization
  233.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  234.    wt: 1:   12 GCD 2700 288 via Prime
  235.    wt: 1:   3 Counting with Tables and Trees II
  236.    wt: 1:   4 signed coordinates for regions in space
  237.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  238.    wt: 1:   3 Multiplying Units and Numbers
  239.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  240.    wt: 1:   21 Reciprocals for Fractions and Wholes
  241.    wt: 1:   13 Fraction Comparison Algebraic View
  242.    wt: 1:   12 Fraction Comparison
  243.    wt: 1:   3 Unit fraction of a fraction
  244.    wt: 1:   13 Subtraction with Additive Inverse
  245.    wt: 1:   12 Adding Integers More Examples
  246.    wt: 1:   11 Adding Integers Formulas and Examples
  247.    wt: 1:   10 Integer Multiplication Formulas
  248.    wt: 1:   3 Adding Movements with same direction
  249.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  250.    wt: 1:   26 Divisibility by 2 3 5 Example
  251.    wt: 1:   23 Remainder Arithmetic Modulo 2
  252.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  253.    wt: 1:   21 Remainder Arithmetic Modulo 3
  254.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  255.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  256.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  257.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  258.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  259.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  260.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  261.    wt: 1:   13 video Factors of 24 using prime
  262.    wt: 1:   12 LCD GCD and LCM using Primes
  263.    wt: 1:   10 video Prime Factorization upto 23 squared
  264.    wt: 1:   3 video Primes and Composites from 9 times table
  265.    wt: 1:   Long Division forwards and backwards Example 2
  266.    wt: 1:   Long Division forwards and backwards Example 1
  267.    wt: 1:   12 Why Long Division Works Take III
  268.    wt: 1:   3 Division Single Digit Divisor Example
  269.    wt: 1:   A Elementary Basis for Multiplication Methods
  270.    wt: 1:   3 More One Digit Multipliers
  271.    wt: 1:   1 Why 3 times 5 gives 15
  272.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  273.    wt: 1:   5 A Tip for Efficent Subtraction
  274.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  275.    wt: 1:   3. How to add with decimals A sans conversions
  276.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  277.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  278.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  279.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  280.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  281.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  282.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  283.    wt: 1:   Formula Evaluation how to show work
  284.    wt: 1:   The 12 Times Table Visually
  285.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  286.    wt: 1:   013 Travel Time Tables
  287.    wt: 1:   012 Division of Time Intervals by Time Intervals
  288.    wt: 1:   3 Units and Lengths of Time
  289.    wt: 1:   Example 3
  290.    wt: 1:   A Related Material in Volume 3
  291.    wt: 1:   3 Two Chain Rule Method Exercises
  292.    wt: 1:   A Related lessons in Volume 3
  293.    wt: 1:   3 Second derivative test
  294.    wt: 1:   36 Cube root derivative animated
  295.    wt: 1:   34 Derivative of exponential function
  296.    wt: 1:   31 Derivatives of inverse functions
  297.    wt: 1:   30Chain Rule A Proof
  298.    wt: 1:   28 Chain Rule Preparation for a Proof
  299.    wt: 1:   23 Chain Rule in general
  300.    wt: 1:   22 Chain Rule for polynomials
  301.    wt: 1:   21 Chain Rule for powers
  302.    wt: 1:   20 Chain Rule for Pulley Systems
  303.    wt: 1:   19 Chain Rule for linear functions
  304.    wt: 1:   15 sine and cosine derivatives 3rd step
  305.    wt: 1:   13 sine and cosine derivatives 1st step
  306.    wt: 1:   12 Quotient rule examples
  307.    wt: 1:   10 Power rule for negative integers
  308.    wt: 1:   2 Motivation for Limit Definition Take 1
  309.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  310.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  311.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  312.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  313.    wt: 1:   G.3 Constant Difference Theorem Proof
  314.    wt: 1:   F.3 Intermediate Value Theorem
  315.    wt: 1:   B3 Bolzano Weierstrass Theorem
  316.    wt: 1:   PostScript For and Against Decimal Perspectives
  317.    wt: 1:   Chapter 23 Links To Trigonometry
  318.    wt: 1:   Chapter 13. Acceleration
  319.    wt: 1:   Chapter 12. Units and Slopes
  320.    wt: 1:   Chapter 3. Slope Sign Analysis
  321.    wt: 1:   Fall 1983 Calculus Appetizer
  322.    wt: 1:   Foreword
  323.    wt: 1:   Postscript More on Better Performance
  324.    wt: 1:   Appendix E. How To Study Mathematics and Why
  325.    wt: 1:   Chapter 31 Direct and Indirect Reason
  326.    wt: 1:   Chapter 30 Truth Tables
  327.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  328.    wt: 1:   Chapter 21. Third Reading Guide
  329.    wt: 1:   Chapter 18. Rules for Algebra
  330.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  331.    wt: 1:   Chapter 8 Three Skills For Algebra
  332.    wt: 1:   Solutions For Arithmetic Exercises
  333.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  334.    wt: 1:   Chapter 3 Chains of Reason
  335.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  336.    wt: 1:   Foreword
  337.    wt: 1:   Postscript B Mathematics Education References
  338.    wt: 1:   Chapter 12 Four Phases
  339.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  340.    wt: 1:   Chapter 3 Algebra Difficulties
  341.    wt: 1:   Foreword
  342.    wt: 1:   Postscript C Consistency as a Tool for Reason
  343.    wt: 1:   Chapter 23 Truth Tables
  344.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  345.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  346.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  347.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  348.    wt: 1:   Foreword
  349.    wt: 1:   R Why Learn Mathematics Skills
  350.    wt: 1:   O On Learning Mathematics and Science
  351.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  352.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  353.    wt: 1:   Chapter 3 Algebra Starter Lessons
  354.    wt: 1:   7 Games and Activities for Instruction
  355.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  356.    wt: 1:   Helping the Blind in Logic and Mathematics
  357.    wt: 1:   Mathematics Education References
  358.    wt: 1:   Mathematics Education References
  359.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  360.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  361.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  362.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  363.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  364.    wt: 1:   The Math Forum and Site Content

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  1.    wt: 6:   12 Goals and Objectives For Mathematics
  2.    wt: 5:   3 Preparing for Science Studies
  3.    wt: 5:   12 From Applied To Pure Mathematics
  4.    wt: 5:   13 Pythagorean spatial distance formulas
  5.    wt: 5:   3 Solving triangular system example
  6.    wt: 5:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  7.    wt: 4:   Skills Chapter 3 Algebra
  8.    wt: 4:   Education Reform Inconsistencies
  9.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  10.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  11.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  12.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  13.    wt: 4:   22 Student Centered Highschool Mathematics
  14.    wt: 4:   13 Addition and Addition Tables
  15.    wt: 4:   13 Velocity Vectors in Physics
  16.    wt: 4:   3 Navigation with Arrows or Vectors
  17.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  18.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  19.    wt: 4:   13 Trig Formulas for dot and cross Products
  20.    wt: 4:   12 cis formulas for sine cosines and tangent
  21.    wt: 4:   12 Spatial Coordinates
  22.    wt: 4:   3 Rectangular Coordinates Review
  23.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  24.    wt: 4:   3 Four Examples
  25.    wt: 4:   13 Naming Identifying Formulas with Words
  26.    wt: 4:   3 Triangle Area Formula Example
  27.    wt: 4:   1 Written work formats for developing and showing skill
  28.    wt: 4:   3 Comparison of Negative Numbers
  29.    wt: 4:   13 video Factors of 24 using prime
  30.    wt: 4:   12 LCD GCD and LCM using Primes
  31.    wt: 4:   3 video Primes and Composites from 9 times table
  32.    wt: 4:   38 Formulas and derivatives for powers and roots
  33.    wt: 4:   B3 Bolzano Weierstrass Theorem
  34.    wt: 4:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  35.    wt: 4:   Chapter 23. Notation For Sums
  36.    wt: 4:   Chapter 13. Second Reading Guide
  37.    wt: 4:   Chapter 12. Shorthand Usage Guide
  38.    wt: 4:   Systematic Algebra Skill Development Missing Links
  39.    wt: 3:   E LAMP Introduction Modern Mathematics
  40.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  41.    wt: 3:   Ramblings Extrinsic numbers theory
  42.    wt: 3:   Ramblings Introduction Algebra Essay
  43.    wt: 3:   Skills Chapter 2 Geometry
  44.    wt: 3:   3 Euclidean Geometry Leanly
  45.    wt: 3:   permissions for teachers
  46.    wt: 3:   learning takes time
  47.    wt: 3:   mathematics in context
  48.    wt: 3:   three goals for Mathematics Education
  49.    wt: 3:   three aims for mathematics students
  50.    wt: 3:   formal or informal peer review
  51.    wt: 3:   need for a mixed mathematics curriculum
  52.    wt: 3:   Prequel In For A Penny In For A Pound
  53.    wt: 3:   words for mathematics instructor
  54.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  55.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  56.    wt: 3:   24 Standards For Skill Develoment Take II
  57.    wt: 3:   24 Standards For Skill Develoment
  58.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  59.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  60.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  61.    wt: 3:   18 Primary School Mathematics
  62.    wt: 3:   17 Math Booklets for children and young teenagers
  63.    wt: 3:   16 Secondary Mathematics Tips
  64.    wt: 3:   15 Counting For Parents
  65.    wt: 3:   10 Ends values for work study instruction
  66.    wt: 3:   5 Patience Please for Yourself and Your Charges
  67.    wt: 3:   4 Learning Takes Time and Effort
  68.    wt: 3:   Ages 12 to 14 Skills with take home value
  69.    wt: 3:   Ages 12 to 14 Geometry
  70.    wt: 3:   Ages 12 to 14 Arithmetic
  71.    wt: 3:   Ages 3 plus to 4 plus
  72.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  73.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  74.    wt: 3:   3 Formula or function graphing exercise
  75.    wt: 3:   8 quadratics backward use of various formulas
  76.    wt: 3:   7 quadratic formulla derivation
  77.    wt: 3:   3 quadratics factoring by inspection
  78.    wt: 3:   3 graphing y=f(x c) plus K
  79.    wt: 3:   12 Straight Lines Graphing mx plus b
  80.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  81.    wt: 3:   26 Formulas for products of sines and cosines
  82.    wt: 3:   24 tangent Angle Difference Formula
  83.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  84.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  85.    wt: 3:   3 Slope product for perpendicular lines
  86.    wt: 3:   10 Pythagorean plane distance formula
  87.    wt: 3:   3 Proportionality Examples
  88.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  89.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  90.    wt: 3:   3 GE III Equation Addition and Multiplication
  91.    wt: 3:   4 Solving a triangular system exercise
  92.    wt: 3:   2 Essentially one exercises three with solution
  93.    wt: 3:   1 Essentially One Unknown
  94.    wt: 3:   3 Two Examples
  95.    wt: 3:   Formula Usage Show Work Format
  96.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  97.    wt: 3:   8 Compound Interest Formula Evaluation
  98.    wt: 3:   7 Compound Interest Formula Introduction
  99.    wt: 3:   5 Box Volume Formula Example
  100.    wt: 3:   4 Circle Area Formula Example
  101.    wt: 3:   2 Another Rectangle Area Formula Example
  102.    wt: 3:   1 More and Less Than for Counts and Measures
  103.    wt: 3:   10 video Prime Factorization upto 23 squared
  104.    wt: 3:   Long Division forwards and backwards Example 3
  105.    wt: 3:   3 More One Digit Multipliers
  106.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  107.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  108.    wt: 3:   Example 3
  109.    wt: 3:   33 Chain Rule Real Player video examples
  110.    wt: 3:   31 Derivatives of inverse functions
  111.    wt: 3:   22 Chain Rule for polynomials
  112.    wt: 3:   12 Quotient rule examples
  113.    wt: 3:   3 Motivation for Limit Definition Take 2
  114.    wt: 3:   3 Decimal insights for limits continuity convergence
  115.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  116.    wt: 3:   G.3 Constant Difference Theorem Proof
  117.    wt: 3:   F.5a Equicontinuity Theorems
  118.    wt: 3:   F.4 Finite Covering Theorem
  119.    wt: 3:   F.3 Intermediate Value Theorem
  120.    wt: 3:   PostScript For and Against Decimal Perspectives
  121.    wt: 3:   Chapter 23 Links To Trigonometry
  122.    wt: 3:   Chapter 13. Acceleration
  123.    wt: 3:   Chapter 12. Units and Slopes
  124.    wt: 3:   Chapter 3. Slope Sign Analysis
  125.    wt: 3:   Postscript For Better Performance
  126.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  127.    wt: 3:   Chapter 31 Direct and Indirect Reason
  128.    wt: 3:   Chapter 30 Truth Tables
  129.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  130.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  131.    wt: 3:   Chapter 3 Chains of Reason
  132.    wt: 3:   Chapter 12 Four Phases
  133.    wt: 3:   Chapter 3 Algebra Difficulties
  134.    wt: 3:   Chapter 2 For and Against Mathematics
  135.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  136.    wt: 3:   Chapter 3 Algebra Starter Lessons
  137.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  138.    wt: 3:   Helping the Blind in Logic and Mathematics
  139.    wt: 3:   Mathematics Education References
  140.    wt: 3:   Mathematics Education References
  141.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  142.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  143.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  144.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  145.    wt: 3:   Implementation Notes
  146.    wt: 3:   More Algebra and Slope based Calculus Preview
  147.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  148.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  149.    wt: 2:   Appendix 2 primary school Arithmetic 01
  150.    wt: 2:   Appendix 1 primary and preschool mathematic
  151.    wt: 2:   K LAMP Musings Science Education
  152.    wt: 2:   J LAMP Introduction Extrinsic Origins
  153.    wt: 2:   I LAMP Introduction Study Habits
  154.    wt: 2:   H LAMP Introduction Instructional Concepts
  155.    wt: 2:   G LAMP Introduction Problem Solving Skills
  156.    wt: 2:   F LAMP Introduction Prerequisites
  157.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  158.    wt: 2:   A Introduction Objectives
  159.    wt: 2:   Skills Chapter 5 Calculus
  160.    wt: 2:   Skills Chapter 4 Logic
  161.    wt: 2:   Skills Chapter 1 Arithmetic
  162.    wt: 2:   Skills Chapter 0 Introduction
  163.    wt: 2:   11 pure mathematics
  164.    wt: 2:   three goals to set for students
  165.    wt: 2:   Math Ed if it must be short make it lean effective
  166.    wt: 2:   activities for students
  167.    wt: 2:   Mathematics Education Professors
  168.    wt: 2:   modern education
  169.    wt: 2:   grouping students according to ability
  170.    wt: 2:   what should be learnt and When
  171.    wt: 2:   Postscript 2007 01 10
  172.    wt: 2:   five decades make a difference
  173.    wt: 2:   Secondary Three Mathematics
  174.    wt: 2:   Secondary Two Mathematics
  175.    wt: 2:   Secondary One Mathematics
  176.    wt: 2:   mathematics curriculum shifts
  177.    wt: 2:   geometric implications for algebra
  178.    wt: 2:   teaching tutoring algebraic reason
  179.    wt: 2:   the trouble with algebra
  180.    wt: 2:   05 13 OldSiteEntrancePage
  181.    wt: 2:   04 29 New Mathematics Curriculum
  182.    wt: 2:   02 21 words for teachers
  183.    wt: 2:   02 20 mathematics education references
  184.    wt: 2:   standards for course material
  185.    wt: 2:   Theory of Knowledge
  186.    wt: 2:   mathematics instruction in general
  187.    wt: 2:   Education in mathematics science and technology
  188.    wt: 2:   Different Kinds of Reasoning in maths
  189.    wt: 2:   three kinds of reason in mathematics
  190.    wt: 2:   Four ways to improve education reform
  191.    wt: 2:   Leaner mathematics curriculum
  192.    wt: 2:   fairness and inductive principles for instruction
  193.    wt: 2:   C Energy Power03
  194.    wt: 2:   3 Like resistors in parallel
  195.    wt: 2:   B Electromotive force conventional current01
  196.    wt: 2:   Home Tutoring and Home Schooling
  197.    wt: 2:   14 Multiplication and Times Tables
  198.    wt: 2:   11 Help and Defend Your Child or Teens Education
  199.    wt: 2:   9 Streaming by Student Cooperation
  200.    wt: 2:   8 The Effect of Negative Remarks
  201.    wt: 2:   7 Student Motivation
  202.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  203.    wt: 2:   2 Reading and Writing Skills
  204.    wt: 2:   1 Speaking Skills
  205.    wt: 2:   Ages 10 to 12 Geometry
  206.    wt: 2:   Ages 10 to 12 Arithmetic
  207.    wt: 2:   sign monoticity analysis example 3
  208.    wt: 2:   23 Inverse Functions
  209.    wt: 2:   13 From one to one to many to one
  210.    wt: 2:   12 Function Domain Recognition Exercises
  211.    wt: 2:   5 Function notation for geometric transformations
  212.    wt: 2:   A Quadratics Summary
  213.    wt: 2:   10 quadratic exercises
  214.    wt: 2:   9 quadratics physical and further context
  215.    wt: 2:   6 quadratics numerical approach
  216.    wt: 2:   5 quadratics completing the square
  217.    wt: 2:   4 quadratics difference of two squares
  218.    wt: 2:   2 quadratics graphing in general
  219.    wt: 2:   1 quadratics graphing exercises
  220.    wt: 2:   Quadratics in 10 steps
  221.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  222.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  223.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  224.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  225.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  226.    wt: 2:   12 motivation for term arctan
  227.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  228.    wt: 2:   A Global Time and Navigation
  229.    wt: 2:   15 Dot and Cross Product
  230.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  231.    wt: 2:   11 Component Method
  232.    wt: 2:   10 Parallelogram Addition Method
  233.    wt: 2:   9 Head to Tail Coordinate View
  234.    wt: 2:   8 Parallel Vectors
  235.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  236.    wt: 2:   6 Vectors with Coordinates
  237.    wt: 2:   5 Head To Tail Arrow Addition
  238.    wt: 2:   4 Resultant of a Sum of Movements
  239.    wt: 2:   2 Signed Coordinates
  240.    wt: 2:   1 Unsigned Coordinates
  241.    wt: 2:   Vector and Complex Number Applet
  242.    wt: 2:   4 graphing y=Asin(x c)
  243.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  244.    wt: 2:   1 graphing y=f(x a)
  245.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  246.    wt: 2:   32 seven rows of pascals triangle
  247.    wt: 2:   31 basic secant cosecant cotangent trig identities
  248.    wt: 2:   30 unit circle calculation of six trigonometric functions
  249.    wt: 2:   29 secant cosecant and cotangent for acute angles
  250.    wt: 2:   25 tangent double angle formula Slope connection
  251.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  252.    wt: 2:   21 sine and cosine Half Angle Formulas
  253.    wt: 2:   17E Trig Formulas for dot and cross Products
  254.    wt: 2:   17D cis formulas for sine cosines and tangent
  255.    wt: 2:   12 Graph of tangent function for one period
  256.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  257.    wt: 2:   3 Addition Properties
  258.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  259.    wt: 2:   12 Triangles Similarity More Problems
  260.    wt: 2:   3 Similarity by Design with coordinates
  261.    wt: 2:   12 Links Lessons elsewhere
  262.    wt: 2:   4 Equations for lines three forms
  263.    wt: 2:   11 Triangle Inequality
  264.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  265.    wt: 2:   8 Distance Between Points on a Line
  266.    wt: 2:   7 Complex Numbers Appetizer
  267.    wt: 2:   6 Polar Multiplication and Rotation
  268.    wt: 2:   5 Cartesian Addition and Translation
  269.    wt: 2:   4 Polar Coordinates to and from
  270.    wt: 2:   2 Cartesian Coordinates with signs
  271.    wt: 2:   1 Cartesian Coordinates sans signs
  272.    wt: 2:   13 Angle Side Angle Failure
  273.    wt: 2:   12 Side Angle Side Failure
  274.    wt: 2:   3 Isometry of Triangles Congruence
  275.    wt: 2:   23 Distributive Law Two Derivations
  276.    wt: 2:   3 Multiplicative Counting Skills Principles
  277.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  278.    wt: 2:   6 Compound Interest Forward and Backwards
  279.    wt: 2:   5 Triangle Area Formula Backwards
  280.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  281.    wt: 2:   3 Linear Equation Literal Solution More
  282.    wt: 2:   3 Product Axioms Two Forms
  283.    wt: 2:   3 Geometric Formulas and Function Notation
  284.    wt: 2:   6 Algebraic Solution Example
  285.    wt: 2:   5 Algebraic Solutions Introduction
  286.    wt: 2:   4 Four Examples Fractional Coefficients
  287.    wt: 2:   2 Three Examples
  288.    wt: 2:   1 Proper Equal Sign Usage
  289.    wt: 2:   Using Letters for Physical Quantities
  290.    wt: 2:   11 Volume of Sphere
  291.    wt: 2:   10 Volume of Pyramid
  292.    wt: 2:   9 Volume of Cone
  293.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  294.    wt: 2:   4 Greater More Less Than Signs in General
  295.    wt: 2:   2 More and Less Than with Unlike Signs
  296.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  297.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  298.    wt: 2:   3 signed coordinates for maps and planes
  299.    wt: 2:   21 Reciprocals for Fractions and Wholes
  300.    wt: 2:   3 Unit fraction of a fraction
  301.    wt: 2:   13 Subtraction with Additive Inverse
  302.    wt: 2:   12 Adding Integers More Examples
  303.    wt: 2:   3 Adding Movements with same direction
  304.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  305.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  306.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  307.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  308.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  309.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  310.    wt: 2:   20 Uniqueness of Prime Factorization
  311.    wt: 2:   19 video Prime Factorization Unique
  312.    wt: 2:   18 video Count Factors given Prime Factorization
  313.    wt: 2:   17 Identify and Count Factors using Primes
  314.    wt: 2:   16 video Factors of 980 using prime
  315.    wt: 2:   15 video Factors of 20 using Prime Factorization
  316.    wt: 2:   14 video Factors of 24 Take II
  317.    wt: 2:   11 Efficient Square Rule Use
  318.    wt: 2:   9 video Prime Factorization upto 19 squared
  319.    wt: 2:   8 video Prime Factorization upto 19
  320.    wt: 2:   7 Calculator Usage Notes and Cautions
  321.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  322.    wt: 2:   5 Prime Factorization and a Square Rule
  323.    wt: 2:   4 video Prime Factorization Introduction
  324.    wt: 2:   2 Prime and Composites less than 16
  325.    wt: 2:   1 video how Products are bigger than factor
  326.    wt: 2:   Long Division forwards and backwards Example 2
  327.    wt: 2:   12 Why Long Division Works Take III
  328.    wt: 2:   3 Division Single Digit Divisor Example
  329.    wt: 2:   A Elementary Basis for Multiplication Methods
  330.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  331.    wt: 2:   Video Power Notation in Decimal Expansion
  332.    wt: 2:   1 Why 3 times 5 gives 15
  333.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  334.    wt: 2:   3. How to add with decimals A sans conversions
  335.    wt: 2:   Example 4 with x function of y
  336.    wt: 2:   Example 2
  337.    wt: 2:   Example 1
  338.    wt: 2:   A Related lessons in Volume 3
  339.    wt: 2:   3 Second derivative test
  340.    wt: 2:   2 Second derivative test prequel
  341.    wt: 2:   36 Cube root derivative animated
  342.    wt: 2:   34 Derivative of exponential function
  343.    wt: 2:   30Chain Rule A Proof
  344.    wt: 2:   28 Chain Rule Preparation for a Proof
  345.    wt: 2:   23 Chain Rule in general
  346.    wt: 2:   21 Chain Rule for powers
  347.    wt: 2:   20 Chain Rule for Pulley Systems
  348.    wt: 2:   19 Chain Rule for linear functions
  349.    wt: 2:   15 sine and cosine derivatives 3rd step
  350.    wt: 2:   13 sine and cosine derivatives 1st step
  351.    wt: 2:   10 Power rule for negative integers
  352.    wt: 2:   5 Product Rule
  353.    wt: 2:   2 Motivation for Limit Definition Take 1
  354.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  355.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  356.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  357.    wt: 2:   11 Limits at infinity Three Examples
  358.    wt: 2:   4 Numerical properties
  359.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  360.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  361.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  362.    wt: 2:   G.5 Motions With Bounded Velocities
  363.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  364.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  365.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  366.    wt: 2:   F.5b Extreme Value Theorem
  367.    wt: 2:   F.2 Closed Range Theorem
  368.    wt: 2:   F.1 What Functions are Continuous
  369.    wt: 2:   E2 Algebraic Properties of Limits
  370.    wt: 2:   E1 Error Control Inequalities
  371.    wt: 2:   D2 Limits of Monotone Sequences
  372.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  373.    wt: 2:   C Triangle Inequalities
  374.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  375.    wt: 2:   A1. Introduction
  376.    wt: 2:   Fall 1983 Calculus Appetizer
  377.    wt: 2:   Foreword
  378.    wt: 2:   Postscript More on Better Performance
  379.    wt: 2:   Appendix E. How To Study Mathematics and Why
  380.    wt: 2:   Appendix C. How to Read
  381.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  382.    wt: 2:   Chapter 21. Third Reading Guide
  383.    wt: 2:   Chapter 18. Rules for Algebra
  384.    wt: 2:   Chapter 8 Three Skills For Algebra
  385.    wt: 2:   Solutions For Arithmetic Exercises
  386.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  387.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  388.    wt: 2:   Foreword
  389.    wt: 2:   Postscript B Mathematics Education References
  390.    wt: 2:   Postscript A Three Remarks
  391.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  392.    wt: 2:   Foreword
  393.    wt: 2:   Chapter 23 Truth Tables
  394.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  395.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  396.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  397.    wt: 2:   N Mathematics Prepare for College Studies
  398.    wt: 2:   G. Written work formats for developing and showing skill
  399.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  400.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  401.    wt: 2:   7 Games and Activities for Instruction
  402.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  403.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  404.    wt: 2:   Which Way To Go
  405.    wt: 1:   10 statistics
  406.    wt: 1:   9 combinatorics probability sets
  407.    wt: 1:   8 analytic geometry etc
  408.    wt: 1:   7 logic review and decimals an odd combination
  409.    wt: 1:   6 polynomials etc
  410.    wt: 1:   5 logarithms and exponentials etc
  411.    wt: 1:   4 algebra
  412.    wt: 1:   2 arithmetic with signed numbers
  413.    wt: 1:   1 arithmetic with unsigned numbers
  414.    wt: 1:   What is POMME
  415.    wt: 1:   why bother
  416.    wt: 1:   which way to go
  417.    wt: 1:   website reviews
  418.    wt: 1:   Teach the teachers plus goals
  419.    wt: 1:   Applied Maths Program14092009 POMME variant
  420.    wt: 1:   links Education Resources online
  421.    wt: 1:   site origins
  422.    wt: 1:   site eurekas
  423.    wt: 1:   About site lesson plans
  424.    wt: 1:   key notes and themes
  425.    wt: 1:   teacher certification
  426.    wt: 1:   Maps Plans Drawings
  427.    wt: 1:   how letters appear
  428.    wt: 1:   talk the algebra talk
  429.    wt: 1:   three difficulties
  430.    wt: 1:   teaching tips
  431.    wt: 1:   What to Tell Students
  432.    wt: 1:   Lessening Algebra Difficulties
  433.    wt: 1:   04 25 when to stop or suspend mathemat
  434.    wt: 1:   Operational Viewpoint to Value
  435.    wt: 1:   cultivating intelligence
  436.    wt: 1:   How to be a better instructor
  437.    wt: 1:   Motivation and Context Problem
  438.    wt: 1:   education an empirical art
  439.    wt: 1:   chapitre 12 00 les iles et division
  440.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  441.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  442.    wt: 1:   liens
  443.    wt: 1:   3 Energy Power Heat08
  444.    wt: 1:   E Wire Resistance Calculation03
  445.    wt: 1:   A Wire Resistance Qualitative01
  446.    wt: 1:   C Electromotive force conventional current02
  447.    wt: 1:   Ages 9 to 10
  448.    wt: 1:   Ages 8 to 9
  449.    wt: 1:   Ages 7 to 8
  450.    wt: 1:   Ages 6 to 7
  451.    wt: 1:   Ages 4 plus to 5 plus
  452.    wt: 1:   6 Set Existence Formation and Notation
  453.    wt: 1:   4 Function notation in and beyond mathematics
  454.    wt: 1:   Introduction Reading Guide
  455.    wt: 1:   8 Notes for instructors or tutors
  456.    wt: 1:   3 Polynomials Multiplication Addition
  457.    wt: 1:   13 cosecant function Definition Graph and Inverse
  458.    wt: 1:   9 motivation for name arcsin
  459.    wt: 1:   4 possible motivation for term arccos
  460.    wt: 1:   3 Left Inverse of cosine arccos definition
  461.    wt: 1:   2 cosine function more properties
  462.    wt: 1:   2 Radian Measure Numerical Value of one degree
  463.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  464.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  465.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  466.    wt: 1:   Straight Lines Intersection of
  467.    wt: 1:   14 Straight Lines Equations General Case
  468.    wt: 1:   11 Straight Lines Graphing y=mx
  469.    wt: 1:   10 Straight Lines through Origin Equations More
  470.    wt: 1:   9 Straight Lines through Origin Equations
  471.    wt: 1:   8 Straight Lines Equation for vertical
  472.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  473.    wt: 1:   17 tangent function angle sum formulas
  474.    wt: 1:   28 Expressing products of sines cosines as sums
  475.    wt: 1:   27 Logarithmic use of products of sines and cosines
  476.    wt: 1:   20 sine and cosine Double Angle Formulas
  477.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  478.    wt: 1:   17C sine and cosine double triple angle formulas
  479.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  480.    wt: 1:   15 sine cosine Complementary Angle Relations
  481.    wt: 1:   13 Graph of tangent function many periods
  482.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  483.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  484.    wt: 1:   11 sine and cosine double triple angle formulas
  485.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  486.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  487.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  488.    wt: 1:   3 Trigonometric Ratios sine and cosine
  489.    wt: 1:   6 Geometric Diagrams in Class
  490.    wt: 1:   4 Similarity Definition with Coordinate
  491.    wt: 1:   8 Mid Point Formula
  492.    wt: 1:   2 point slope equation for a line
  493.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  494.    wt: 1:   PS H Distributive Law For Complex Numbers
  495.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  496.    wt: 1:   3 Lengths and Areas on Maps and Plans
  497.    wt: 1:   26 More Less Greater Than Comparison
  498.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  499.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  500.    wt: 1:   22 Multiplication of Signed Numbers
  501.    wt: 1:   13 Arrows and Vectors in a Plane
  502.    wt: 1:   12 Real Numbers Line Signed Coordinates
  503.    wt: 1:   3 Location of Point in Decimal Multiplication
  504.    wt: 1:   6 Column Methods for Decimal Multiplication
  505.    wt: 1:   5 Distributive Law for Whole Numbers
  506.    wt: 1:   4 Commutative Law Groups Counting Form
  507.    wt: 1:   3 Inequalities Algebraically
  508.    wt: 1:   5 Proportionality in Equivalent Fractions
  509.    wt: 1:   4 Rates Ratios and Proporitionality
  510.    wt: 1:   2 Algebraic View
  511.    wt: 1:   1 What is Proportionality
  512.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  513.    wt: 1:   2 Linear Equation Literal Solution
  514.    wt: 1:   1 Changing Calculations
  515.    wt: 1:   3 More and Less Than with Unlike Signs
  516.    wt: 1:   2 More and Less Than for Counts and Measures
  517.    wt: 1:   13 Real Number Subtraction
  518.    wt: 1:   12 Real Number Additive Inverses or Negatives
  519.    wt: 1:   9 Coordinates for Regions in Space
  520.    wt: 1:   8 Coordinates for Maps and Planes
  521.    wt: 1:   3 Fractions
  522.    wt: 1:   1 Formulas Dependence and Function Notation
  523.    wt: 1:   More Exercises
  524.    wt: 1:   Simple Exercises
  525.    wt: 1:   4 GE III Animated Examples
  526.    wt: 1:   2 GE II Comparison
  527.    wt: 1:   1 GE Substitution four examples
  528.    wt: 1:   Skill Development Notes
  529.    wt: 1:   10 One Example
  530.    wt: 1:   9 Three Examples
  531.    wt: 1:   8 One Example
  532.    wt: 1:   7 Two Examples
  533.    wt: 1:   6 Three Examples
  534.    wt: 1:   5 Three Examples
  535.    wt: 1:   4 Two Examples
  536.    wt: 1:   2 Three Examples
  537.    wt: 1:   3 Counting with Sets etc
  538.    wt: 1:   3 Adding Words To Arithmetic
  539.    wt: 1:   1 Three Skills For Algebra
  540.    wt: 1:   arithmetic videos Real Player Format
  541.    wt: 1:   3 Properties of Square Roots with example
  542.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  543.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  544.    wt: 1:   13 GCD from given Prime Factorization
  545.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  546.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  547.    wt: 1:   2 Least Common Multiple LCM intro via list method
  548.    wt: 1:   12 GCD 2700 288 via Prime
  549.    wt: 1:   3 Counting with Tables and Trees II
  550.    wt: 1:   4 signed coordinates for regions in space
  551.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  552.    wt: 1:   3 Multiplying Units and Numbers
  553.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  554.    wt: 1:   22 Complex Compound Fractions
  555.    wt: 1:   21 Working With Signs
  556.    wt: 1:   20 Dividing Fractions the Why
  557.    wt: 1:   19 Dividing Fractions How TO
  558.    wt: 1:   13 Fraction Comparison Algebraic View
  559.    wt: 1:   12 Fraction Comparison
  560.    wt: 1:   A Associative Law Theorectical Note
  561.    wt: 1:   11 Adding Integers Formulas and Examples
  562.    wt: 1:   10 Integer Multiplication Formulas
  563.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  564.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  565.    wt: 1:   26 Divisibility by 2 3 5 Example
  566.    wt: 1:   23 Remainder Arithmetic Modulo 2
  567.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  568.    wt: 1:   21 Remainder Arithmetic Modulo 3
  569.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  570.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  571.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  572.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  573.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  574.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  575.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  576.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  577.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  578.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  579.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  580.    wt: 1:   Long Division Backward
  581.    wt: 1:   Long Division forwards and backwards Example 1
  582.    wt: 1:   D Decimal Multiplication Methods Derived
  583.    wt: 1:   C Counting Areas with Powers of Ten
  584.    wt: 1:   B Powers of Ten
  585.    wt: 1:   6 Multiplication Commutes Order Not Important
  586.    wt: 1:   5 Decimal Fraction Multiplication
  587.    wt: 1:   4 Two and Three Digit Multipliers
  588.    wt: 1:   2 One Digit Multipliers
  589.    wt: 1:   Subtraction Another Video Lesson
  590.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  591.    wt: 1:   5 A Tip for Efficent Subtraction
  592.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  593.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  594.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  595.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  596.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  597.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  598.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  599.    wt: 1:   Formula Evaluation how to show work
  600.    wt: 1:   Expression Evaluation how to show work
  601.    wt: 1:   The 12 Times Table Visually
  602.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  603.    wt: 1:   013 Travel Time Tables
  604.    wt: 1:   012 Division of Time Intervals by Time Intervals
  605.    wt: 1:   3 Units and Lengths of Time
  606.    wt: 1:   Example 2 volume of a cone
  607.    wt: 1:   Example 1 volume of a pyramid
  608.    wt: 1:   Volume of Solid by Cross Sections Lesson
  609.    wt: 1:   Example 1. Area Between x and x squared
  610.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  611.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  612.    wt: 1:   Area Between Curves Lesson Take 2
  613.    wt: 1:   Area Between Curves Lesson Take 1
  614.    wt: 1:   Summary
  615.    wt: 1:   A Related Material in Volume 3
  616.    wt: 1:   3 Two Chain Rule Method Exercises
  617.    wt: 1:   4 Second derivative test exercise example
  618.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  619.    wt: 1:   A Chain Rule Real Player video examples
  620.    wt: 1:   29 Chain Rule Optional Reading
  621.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  622.    wt: 1:   26 Chain Rule Recognising outer inner functions
  623.    wt: 1:   25 Chain Rule Animated Examples Continued
  624.    wt: 1:   24 Chain Rule Animated Examples
  625.    wt: 1:   18 Chain Rule Introduction
  626.    wt: 1:   17 Derivatives of quotients of sine and cosine
  627.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  628.    wt: 1:   14 sine and cosine derivatives 2nd step
  629.    wt: 1:   11 Quotient rule
  630.    wt: 1:   9 Reciprocal rule
  631.    wt: 1:   8 Differentiation of polynomials
  632.    wt: 1:   7 Animated Differentiation Examples
  633.    wt: 1:   6 Power rule from product rule
  634.    wt: 1:   4 Sum Rule
  635.    wt: 1:   10 Three one sided limits with infinite values
  636.    wt: 1:   9 Limits Continuity and Composition
  637.    wt: 1:   8 Four Animated Examples
  638.    wt: 1:   7 Evaluation by immediate or delayed substitution
  639.    wt: 1:   6 Continuity at a point
  640.    wt: 1:   5 Jumps and absence of unlimited error control
  641.    wt: 1:   2 Algebraic codification
  642.    wt: 1:   1 Numerical introduction
  643.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  644.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  645.    wt: 1:   Chapter 22 Complex Numbers
  646.    wt: 1:   Chapter 21 Arrow Addition
  647.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  648.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  649.    wt: 1:   Chapter 18. Slopes Areas Integration
  650.    wt: 1:   Chapter 17. Area Approximation
  651.    wt: 1:   Chapter 16. Velocity Approximation
  652.    wt: 1:   Chapter 15. Slope Approximation
  653.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  654.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  655.    wt: 1:   Chapter 11. Graphing Slope versus Position
  656.    wt: 1:   Chapter 10 Slopes and Units
  657.    wt: 1:   Chapter 9 About First Courses in Calculus
  658.    wt: 1:   Chapter 8. Slope Interpretation
  659.    wt: 1:   Chapter 7 Slopes and Velocity
  660.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  661.    wt: 1:   Chapter 5. Slope Sign Tests
  662.    wt: 1:   Chapter 4. More Slope Sign Analysis
  663.    wt: 1:   Chapter 2. Slopes and Ski Trails
  664.    wt: 1:   Chapter 1.Introduction
  665.    wt: 1:   Appendix D. What to do in School and Why
  666.    wt: 1:   Appendix B. How To Learn
  667.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  668.    wt: 1:   Chapter 28 Occurrence Tables
  669.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  670.    wt: 1:   Chapter 25. Mathematical Induction Examples
  671.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  672.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  673.    wt: 1:   Chapter 20. Degrees and Radians
  674.    wt: 1:   Chapter 19. Functions and Sets
  675.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  676.    wt: 1:   Chapter 16. Painless Theorem Proving
  677.    wt: 1:   Chapter 15. Solving Linear Equations
  678.    wt: 1:   Chapter 11. Why Shorthand
  679.    wt: 1:   Chapter 10 Describing and Changing Calculations
  680.    wt: 1:   Postscript What is a Variable
  681.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  682.    wt: 1:   Chapter 6 Change of Language
  683.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  684.    wt: 1:   Chapter 4 Longer Chains of Reason
  685.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  686.    wt: 1:   Annotated Links to Material Elsehwere
  687.    wt: 1:   Chapter 11 Elementary Instruction
  688.    wt: 1:   Chapter 10 Transition
  689.    wt: 1:   Chapter 9 The Two Ends
  690.    wt: 1:   Chapter 8 Modern Instruction
  691.    wt: 1:   Chapter 7 Two Treatments of Geometry
  692.    wt: 1:   Chapter 5 Four References
  693.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  694.    wt: 1:   Chapter 1 Introduction
  695.    wt: 1:   Postscript C Consistency as a Tool for Reason
  696.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  697.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  698.    wt: 1:   Foreword
  699.    wt: 1:   R Why Learn Mathematics Skills
  700.    wt: 1:   O On Learning Mathematics and Science
  701.    wt: 1:   M Words to extend arithmetic
  702.    wt: 1:   L Skills with take home value
  703.    wt: 1:   C. Domino effect of being careful
  704.    wt: 1:   Chapter 8 Skipped Topics and Why
  705.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  706.    wt: 1:   Chapter 6 More Algebra and Geometry
  707.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  708.    wt: 1:   Chapter 2 Why Sets
  709.    wt: 1:   Chapter 1 Arithmetic
  710.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  711.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  712.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  713.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  714.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  715.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  716.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  717.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  718.    wt: 1:   The Math Forum and Site Content

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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