Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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.

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  1.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  2.    wt: 2:   LAMP Lean Applied Mathematics Program/
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  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/

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356 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:   Objectives for Mathematics and Logic Language Skill Development
  17.    wt: 2:   5 Function notation for geometric transformations
  18.    wt: 2:   3 Formula or function graphing exercise
  19.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  20.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  21.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  22.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  23.    wt: 2:   12 motivation for term arctan
  24.    wt: 2:   12 From Applied To Pure Mathematics
  25.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  26.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  27.    wt: 2:   26 Formulas for products of sines and cosines
  28.    wt: 2:   17E Trig Formulas for dot and cross Products
  29.    wt: 2:   17D cis formulas for sine cosines and tangent
  30.    wt: 2:   12 Graph of tangent function for one period
  31.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  32.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  33.    wt: 2:   4 Equations for lines three forms
  34.    wt: 2:   3 Slope product for perpendicular lines
  35.    wt: 2:   13 Pythagorean spatial distance formulas
  36.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  37.    wt: 2:   3 Product Axioms Two Forms
  38.    wt: 2:   3 Geometric Formulas and Function Notation
  39.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  40.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  41.    wt: 2:   Formula Usage Show Work Format
  42.    wt: 2:   13 Naming Identifying Formulas with Words
  43.    wt: 2:   3 Triangle Area Formula Example
  44.    wt: 2:   1 Written work formats for developing and showing skill
  45.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  46.    wt: 2:   3 signed coordinates for maps and planes
  47.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  48.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  49.    wt: 2:   Long Division forwards and backwards Example 3
  50.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  51.    wt: 2:   33 Chain Rule Real Player video examples
  52.    wt: 2:   3 Motivation for Limit Definition Take 2
  53.    wt: 2:   3 Decimal insights for limits continuity convergence
  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: 2:   Montreal Basic and Advanced Mathematics Tutoring
  67.    wt: 1:   E LAMP Introduction Modern Mathematics
  68.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  69.    wt: 1:   Skills Chapter 3 Algebra
  70.    wt: 1:   11 pure mathematics
  71.    wt: 1:   3 Euclidean Geometry Leanly
  72.    wt: 1:   three goals to set for students
  73.    wt: 1:   permissions for teachers
  74.    wt: 1:   activities for students
  75.    wt: 1:   Mathematics Education Professors
  76.    wt: 1:   mathematics in context
  77.    wt: 1:   Education Reform Inconsistencies
  78.    wt: 1:   Secondary Three Mathematics
  79.    wt: 1:   Secondary Two Mathematics
  80.    wt: 1:   Secondary One Mathematics
  81.    wt: 1:   mathematics curriculum shifts
  82.    wt: 1:   geometric implications for algebra
  83.    wt: 1:   05 13 OldSiteEntrancePage
  84.    wt: 1:   04 29 New Mathematics Curriculum
  85.    wt: 1:   02 21 words for teachers
  86.    wt: 1:   02 20 mathematics education references
  87.    wt: 1:   standards for course material
  88.    wt: 1:   mathematics instruction in general
  89.    wt: 1:   Education in mathematics science and technology
  90.    wt: 1:   three kinds of reason in mathematics
  91.    wt: 1:   Four ways to improve education reform
  92.    wt: 1:   Leaner mathematics curriculum
  93.    wt: 1:   fairness and inductive principles for instruction
  94.    wt: 1:   chapitre 12 00 les iles et division
  95.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  96.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  97.    wt: 1:   3 Energy Power Heat08
  98.    wt: 1:   C Energy Power03
  99.    wt: 1:   E Wire Resistance Calculation03
  100.    wt: 1:   3 Like resistors in parallel
  101.    wt: 1:   C Electromotive force conventional current02
  102.    wt: 1:   B Electromotive force conventional current01
  103.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  104.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  105.    wt: 1:   24 Standards For Skill Develoment Take II
  106.    wt: 1:   24 Standards For Skill Develoment
  107.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  108.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  109.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  110.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  111.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  112.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  113.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  114.    wt: 1:   18 Primary School Mathematics
  115.    wt: 1:   17 Math Booklets for children and young teenagers
  116.    wt: 1:   16 Secondary Mathematics Tips
  117.    wt: 1:   15 Counting For Parents
  118.    wt: 1:   13 Addition and Addition Tables
  119.    wt: 1:   10 Ends values for work study instruction
  120.    wt: 1:   5 Patience Please for Yourself and Your Charges
  121.    wt: 1:   4 Learning Takes Time and Effort
  122.    wt: 1:   Ages 12 to 14 Skills with take home value
  123.    wt: 1:   Ages 12 to 14 Geometry
  124.    wt: 1:   Ages 12 to 14 Arithmetic
  125.    wt: 1:   Ages 10 to 12 Geometry
  126.    wt: 1:   Ages 10 to 12 Arithmetic
  127.    wt: 1:   Ages 3 plus to 4 plus
  128.    wt: 1:   sign monoticity analysis example 3
  129.    wt: 1:   23 Inverse Functions
  130.    wt: 1:   13 From one to one to many to one
  131.    wt: 1:   12 Function Domain Recognition Exercises
  132.    wt: 1:   6 Set Existence Formation and Notation
  133.    wt: 1:   4 Function notation in and beyond mathematics
  134.    wt: 1:   Introduction Reading Guide
  135.    wt: 1:   8 quadratics backward use of various formulas
  136.    wt: 1:   7 quadratic formulla derivation
  137.    wt: 1:   3 quadratics factoring by inspection
  138.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  139.    wt: 1:   8 Notes for instructors or tutors
  140.    wt: 1:   3 Polynomials Multiplication Addition
  141.    wt: 1:   13 cosecant function Definition Graph and Inverse
  142.    wt: 1:   9 motivation for name arcsin
  143.    wt: 1:   4 possible motivation for term arccos
  144.    wt: 1:   3 Left Inverse of cosine arccos definition
  145.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  146.    wt: 1:   13 Velocity Vectors in Physics
  147.    wt: 1:   3 Navigation with Arrows or Vectors
  148.    wt: 1:   3 graphing y=f(x c) plus K
  149.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  150.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  151.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  152.    wt: 1:   12 Straight Lines Graphing mx plus b
  153.    wt: 1:   8 Straight Lines Equation for vertical
  154.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  155.    wt: 1:   17 tangent function angle sum formulas
  156.    wt: 1:   32 seven rows of pascals triangle
  157.    wt: 1:   31 basic secant cosecant cotangent trig identities
  158.    wt: 1:   30 unit circle calculation of six trigonometric functions
  159.    wt: 1:   29 secant cosecant and cotangent for acute angles
  160.    wt: 1:   25 tangent double angle formula Slope connection
  161.    wt: 1:   24 tangent Angle Difference Formula
  162.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  163.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  164.    wt: 1:   21 sine and cosine Half Angle Formulas
  165.    wt: 1:   20 sine and cosine Double Angle Formulas
  166.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  167.    wt: 1:   17C sine and cosine double triple angle formulas
  168.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  169.    wt: 1:   13 Graph of tangent function many periods
  170.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  171.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  172.    wt: 1:   11 sine and cosine double triple angle formulas
  173.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  174.    wt: 1:   3 Addition Properties
  175.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  176.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  177.    wt: 1:   3 Trigonometric Ratios sine and cosine
  178.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  179.    wt: 1:   12 Triangles Similarity More Problems
  180.    wt: 1:   3 Similarity by Design with coordinates
  181.    wt: 1:   12 Links Lessons elsewhere
  182.    wt: 1:   8 Mid Point Formula
  183.    wt: 1:   2 point slope equation for a line
  184.    wt: 1:   12 Spatial Coordinates
  185.    wt: 1:   10 Pythagorean plane distance formula
  186.    wt: 1:   3 Rectangular Coordinates Review
  187.    wt: 1:   PS H Distributive Law For Complex Numbers
  188.    wt: 1:   13 Angle Side Angle Failure
  189.    wt: 1:   12 Side Angle Side Failure
  190.    wt: 1:   3 Isometry of Triangles Congruence
  191.    wt: 1:   3 Lengths and Areas on Maps and Plans
  192.    wt: 1:   23 Distributive Law Two Derivations
  193.    wt: 1:   13 Arrows and Vectors in a Plane
  194.    wt: 1:   12 Real Numbers Line Signed Coordinates
  195.    wt: 1:   3 Location of Point in Decimal Multiplication
  196.    wt: 1:   6 Column Methods for Decimal Multiplication
  197.    wt: 1:   5 Distributive Law for Whole Numbers
  198.    wt: 1:   4 Commutative Law Groups Counting Form
  199.    wt: 1:   3 Multiplicative Counting Skills Principles
  200.    wt: 1:   3 Inequalities Algebraically
  201.    wt: 1:   3 Proportionality Examples
  202.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  203.    wt: 1:   6 Compound Interest Forward and Backwards
  204.    wt: 1:   5 Triangle Area Formula Backwards
  205.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  206.    wt: 1:   3 Linear Equation Literal Solution More
  207.    wt: 1:   3 More and Less Than with Unlike Signs
  208.    wt: 1:   2 More and Less Than for Counts and Measures
  209.    wt: 1:   13 Real Number Subtraction
  210.    wt: 1:   12 Real Number Additive Inverses or Negatives
  211.    wt: 1:   9 Coordinates for Regions in Space
  212.    wt: 1:   8 Coordinates for Maps and Planes
  213.    wt: 1:   3 Fractions
  214.    wt: 1:   1 Formulas Dependence and Function Notation
  215.    wt: 1:   3 GE III Equation Addition and Multiplication
  216.    wt: 1:   3 Solving triangular system example
  217.    wt: 1:   3 Four Examples
  218.    wt: 1:   3 Two Examples
  219.    wt: 1:   Using Letters for Physical Quantities
  220.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  221.    wt: 1:   8 Compound Interest Formula Evaluation
  222.    wt: 1:   7 Compound Interest Formula Introduction
  223.    wt: 1:   5 Box Volume Formula Example
  224.    wt: 1:   4 Circle Area Formula Example
  225.    wt: 1:   2 Another Rectangle Area Formula Example
  226.    wt: 1:   3 Counting with Sets etc
  227.    wt: 1:   3 Adding Words To Arithmetic
  228.    wt: 1:   1 Three Skills For Algebra
  229.    wt: 1:   arithmetic videos Real Player Format
  230.    wt: 1:   3 Comparison of Negative Numbers
  231.    wt: 1:   1 More and Less Than for Counts and Measures
  232.    wt: 1:   3 Properties of Square Roots with example
  233.    wt: 1:   13 GCD from given Prime Factorization
  234.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  235.    wt: 1:   12 GCD 2700 288 via Prime
  236.    wt: 1:   3 Counting with Tables and Trees II
  237.    wt: 1:   4 signed coordinates for regions in space
  238.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  239.    wt: 1:   3 Multiplying Units and Numbers
  240.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  241.    wt: 1:   21 Reciprocals for Fractions and Wholes
  242.    wt: 1:   13 Fraction Comparison Algebraic View
  243.    wt: 1:   12 Fraction Comparison
  244.    wt: 1:   3 Unit fraction of a fraction
  245.    wt: 1:   13 Subtraction with Additive Inverse
  246.    wt: 1:   12 Adding Integers More Examples
  247.    wt: 1:   11 Adding Integers Formulas and Examples
  248.    wt: 1:   10 Integer Multiplication Formulas
  249.    wt: 1:   3 Adding Movements with same direction
  250.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  251.    wt: 1:   26 Divisibility by 2 3 5 Example
  252.    wt: 1:   23 Remainder Arithmetic Modulo 2
  253.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  254.    wt: 1:   21 Remainder Arithmetic Modulo 3
  255.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  256.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  257.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  258.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  259.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  260.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  261.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  262.    wt: 1:   13 video Factors of 24 using prime
  263.    wt: 1:   12 LCD GCD and LCM using Primes
  264.    wt: 1:   10 video Prime Factorization upto 23 squared
  265.    wt: 1:   3 video Primes and Composites from 9 times table
  266.    wt: 1:   Long Division forwards and backwards Example 2
  267.    wt: 1:   Long Division forwards and backwards Example 1
  268.    wt: 1:   12 Why Long Division Works Take III
  269.    wt: 1:   3 Division Single Digit Divisor Example
  270.    wt: 1:   A Elementary Basis for Multiplication Methods
  271.    wt: 1:   3 More One Digit Multipliers
  272.    wt: 1:   1 Why 3 times 5 gives 15
  273.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  274.    wt: 1:   5 A Tip for Efficent Subtraction
  275.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  276.    wt: 1:   3. How to add with decimals A sans conversions
  277.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  278.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  279.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  280.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  281.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  282.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  283.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  284.    wt: 1:   Formula Evaluation how to show work
  285.    wt: 1:   The 12 Times Table Visually
  286.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  287.    wt: 1:   013 Travel Time Tables
  288.    wt: 1:   012 Division of Time Intervals by Time Intervals
  289.    wt: 1:   3 Units and Lengths of Time
  290.    wt: 1:   Example 3
  291.    wt: 1:   A Related Material in Volume 3
  292.    wt: 1:   3 Two Chain Rule Method Exercises
  293.    wt: 1:   A Related lessons in Volume 3
  294.    wt: 1:   3 Second derivative test
  295.    wt: 1:   36 Cube root derivative animated
  296.    wt: 1:   34 Derivative of exponential function
  297.    wt: 1:   31 Derivatives of inverse functions
  298.    wt: 1:   30Chain Rule A Proof
  299.    wt: 1:   28 Chain Rule Preparation for a Proof
  300.    wt: 1:   23 Chain Rule in general
  301.    wt: 1:   22 Chain Rule for polynomials
  302.    wt: 1:   21 Chain Rule for powers
  303.    wt: 1:   20 Chain Rule for Pulley Systems
  304.    wt: 1:   19 Chain Rule for linear functions
  305.    wt: 1:   15 sine and cosine derivatives 3rd step
  306.    wt: 1:   13 sine and cosine derivatives 1st step
  307.    wt: 1:   12 Quotient rule examples
  308.    wt: 1:   10 Power rule for negative integers
  309.    wt: 1:   2 Motivation for Limit Definition Take 1
  310.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  311.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  312.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  313.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  314.    wt: 1:   G.3 Constant Difference Theorem Proof
  315.    wt: 1:   F.3 Intermediate Value Theorem
  316.    wt: 1:   B3 Bolzano Weierstrass Theorem
  317.    wt: 1:   PostScript For and Against Decimal Perspectives
  318.    wt: 1:   Chapter 23 Links To Trigonometry
  319.    wt: 1:   Chapter 13. Acceleration
  320.    wt: 1:   Chapter 12. Units and Slopes
  321.    wt: 1:   Chapter 3. Slope Sign Analysis
  322.    wt: 1:   Fall 1983 Calculus Appetizer
  323.    wt: 1:   Foreword
  324.    wt: 1:   Postscript More on Better Performance
  325.    wt: 1:   Appendix E. How To Study Mathematics and Why
  326.    wt: 1:   Chapter 31 Direct and Indirect Reason
  327.    wt: 1:   Chapter 30 Truth Tables
  328.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  329.    wt: 1:   Chapter 21. Third Reading Guide
  330.    wt: 1:   Chapter 18. Rules for Algebra
  331.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  332.    wt: 1:   Chapter 8 Three Skills For Algebra
  333.    wt: 1:   Solutions For Arithmetic Exercises
  334.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  335.    wt: 1:   Chapter 3 Chains of Reason
  336.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  337.    wt: 1:   Foreword
  338.    wt: 1:   Postscript B Mathematics Education References
  339.    wt: 1:   Chapter 12 Four Phases
  340.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  341.    wt: 1:   Chapter 3 Algebra Difficulties
  342.    wt: 1:   Foreword
  343.    wt: 1:   Postscript C Consistency as a Tool for Reason
  344.    wt: 1:   Chapter 23 Truth Tables
  345.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  346.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  347.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  348.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  349.    wt: 1:   Foreword
  350.    wt: 1:   R Why Learn Mathematics Skills
  351.    wt: 1:   O On Learning Mathematics and Science
  352.    wt: 1:   Helping the Blind in Logic and Mathematics
  353.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  354.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  355.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  356.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year

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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:   Chapter 23. Notation For Sums
  35.    wt: 4:   Chapter 13. Second Reading Guide
  36.    wt: 4:   Chapter 12. Shorthand Usage Guide
  37.    wt: 4:   Systematic Algebra Skill Development Missing Links
  38.    wt: 3:   E LAMP Introduction Modern Mathematics
  39.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  40.    wt: 3:   Ramblings Extrinsic numbers theory
  41.    wt: 3:   Ramblings Introduction Algebra Essay
  42.    wt: 3:   Skills Chapter 2 Geometry
  43.    wt: 3:   3 Euclidean Geometry Leanly
  44.    wt: 3:   permissions for teachers
  45.    wt: 3:   learning takes time
  46.    wt: 3:   mathematics in context
  47.    wt: 3:   three goals for Mathematics Education
  48.    wt: 3:   three aims for mathematics students
  49.    wt: 3:   formal or informal peer review
  50.    wt: 3:   need for a mixed mathematics curriculum
  51.    wt: 3:   Prequel In For A Penny In For A Pound
  52.    wt: 3:   words for mathematics instructor
  53.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  54.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  55.    wt: 3:   24 Standards For Skill Develoment Take II
  56.    wt: 3:   24 Standards For Skill Develoment
  57.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  58.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  59.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  60.    wt: 3:   18 Primary School Mathematics
  61.    wt: 3:   17 Math Booklets for children and young teenagers
  62.    wt: 3:   16 Secondary Mathematics Tips
  63.    wt: 3:   15 Counting For Parents
  64.    wt: 3:   10 Ends values for work study instruction
  65.    wt: 3:   5 Patience Please for Yourself and Your Charges
  66.    wt: 3:   4 Learning Takes Time and Effort
  67.    wt: 3:   Ages 12 to 14 Skills with take home value
  68.    wt: 3:   Ages 12 to 14 Geometry
  69.    wt: 3:   Ages 12 to 14 Arithmetic
  70.    wt: 3:   Ages 3 plus to 4 plus
  71.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  72.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  73.    wt: 3:   Objectives for Mathematics and Logic Language Skill Development
  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:   .H2 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:   Helping the Blind in Logic and Mathematics
  137.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  138.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  139.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  140.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  141.    wt: 3:   Implementation Notes
  142.    wt: 3:   More Algebra and Slope based Calculus Preview
  143.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  144.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  145.    wt: 2:   Appendix 2 primary school Arithmetic 01
  146.    wt: 2:   Appendix 1 primary and preschool mathematic
  147.    wt: 2:   K LAMP Musings Science Education
  148.    wt: 2:   J LAMP Introduction Extrinsic Origins
  149.    wt: 2:   I LAMP Introduction Study Habits
  150.    wt: 2:   H LAMP Introduction Instructional Concepts
  151.    wt: 2:   G LAMP Introduction Problem Solving Skills
  152.    wt: 2:   F LAMP Introduction Prerequisites
  153.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  154.    wt: 2:   A Introduction Objectives
  155.    wt: 2:   Skills Chapter 5 Calculus
  156.    wt: 2:   Skills Chapter 4 Logic
  157.    wt: 2:   Skills Chapter 1 Arithmetic
  158.    wt: 2:   Skills Chapter 0 Introduction
  159.    wt: 2:   11 pure mathematics
  160.    wt: 2:   three goals to set for students
  161.    wt: 2:   Math Ed if it must be short make it lean effective
  162.    wt: 2:   activities for students
  163.    wt: 2:   Mathematics Education Professors
  164.    wt: 2:   modern education
  165.    wt: 2:   grouping students according to ability
  166.    wt: 2:   what should be learnt and When
  167.    wt: 2:   Postscript 2007 01 10
  168.    wt: 2:   five decades make a difference
  169.    wt: 2:   Secondary Three Mathematics
  170.    wt: 2:   Secondary Two Mathematics
  171.    wt: 2:   Secondary One Mathematics
  172.    wt: 2:   mathematics curriculum shifts
  173.    wt: 2:   geometric implications for algebra
  174.    wt: 2:   teaching tutoring algebraic reason
  175.    wt: 2:   the trouble with algebra
  176.    wt: 2:   05 13 OldSiteEntrancePage
  177.    wt: 2:   04 29 New Mathematics Curriculum
  178.    wt: 2:   02 21 words for teachers
  179.    wt: 2:   02 20 mathematics education references
  180.    wt: 2:   standards for course material
  181.    wt: 2:   Theory of Knowledge
  182.    wt: 2:   mathematics instruction in general
  183.    wt: 2:   Education in mathematics science and technology
  184.    wt: 2:   Different Kinds of Reasoning in maths
  185.    wt: 2:   three kinds of reason in mathematics
  186.    wt: 2:   Four ways to improve education reform
  187.    wt: 2:   Leaner mathematics curriculum
  188.    wt: 2:   fairness and inductive principles for instruction
  189.    wt: 2:   C Energy Power03
  190.    wt: 2:   3 Like resistors in parallel
  191.    wt: 2:   B Electromotive force conventional current01
  192.    wt: 2:   Home Tutoring and Home Schooling
  193.    wt: 2:   14 Multiplication and Times Tables
  194.    wt: 2:   11 Help and Defend Your Child or Teens Education
  195.    wt: 2:   9 Streaming by Student Cooperation
  196.    wt: 2:   8 The Effect of Negative Remarks
  197.    wt: 2:   7 Student Motivation
  198.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  199.    wt: 2:   2 Reading and Writing Skills
  200.    wt: 2:   1 Speaking Skills
  201.    wt: 2:   Ages 10 to 12 Geometry
  202.    wt: 2:   Ages 10 to 12 Arithmetic
  203.    wt: 2:   sign monoticity analysis example 3
  204.    wt: 2:   23 Inverse Functions
  205.    wt: 2:   13 From one to one to many to one
  206.    wt: 2:   12 Function Domain Recognition Exercises
  207.    wt: 2:   5 Function notation for geometric transformations
  208.    wt: 2:   A Quadratics Summary
  209.    wt: 2:   10 quadratic exercises
  210.    wt: 2:   9 quadratics physical and further context
  211.    wt: 2:   6 quadratics numerical approach
  212.    wt: 2:   5 quadratics completing the square
  213.    wt: 2:   4 quadratics difference of two squares
  214.    wt: 2:   2 quadratics graphing in general
  215.    wt: 2:   1 quadratics graphing exercises
  216.    wt: 2:   Quadratics in 10 steps
  217.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  218.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  219.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  220.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  221.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  222.    wt: 2:   12 motivation for term arctan
  223.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  224.    wt: 2:   A Global Time and Navigation
  225.    wt: 2:   15 Dot and Cross Product
  226.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  227.    wt: 2:   11 Component Method
  228.    wt: 2:   10 Parallelogram Addition Method
  229.    wt: 2:   9 Head to Tail Coordinate View
  230.    wt: 2:   8 Parallel Vectors
  231.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  232.    wt: 2:   6 Vectors with Coordinates
  233.    wt: 2:   5 Head To Tail Arrow Addition
  234.    wt: 2:   4 Resultant of a Sum of Movements
  235.    wt: 2:   2 Signed Coordinates
  236.    wt: 2:   1 Unsigned Coordinates
  237.    wt: 2:   Vector and Complex Number Applet
  238.    wt: 2:   4 graphing y=Asin(x c)
  239.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  240.    wt: 2:   1 graphing y=f(x a)
  241.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  242.    wt: 2:   32 seven rows of pascals triangle
  243.    wt: 2:   31 basic secant cosecant cotangent trig identities
  244.    wt: 2:   30 unit circle calculation of six trigonometric functions
  245.    wt: 2:   29 secant cosecant and cotangent for acute angles
  246.    wt: 2:   25 tangent double angle formula Slope connection
  247.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  248.    wt: 2:   21 sine and cosine Half Angle Formulas
  249.    wt: 2:   17E Trig Formulas for dot and cross Products
  250.    wt: 2:   17D cis formulas for sine cosines and tangent
  251.    wt: 2:   12 Graph of tangent function for one period
  252.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  253.    wt: 2:   3 Addition Properties
  254.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  255.    wt: 2:   12 Triangles Similarity More Problems
  256.    wt: 2:   3 Similarity by Design with coordinates
  257.    wt: 2:   12 Links Lessons elsewhere
  258.    wt: 2:   4 Equations for lines three forms
  259.    wt: 2:   11 Triangle Inequality
  260.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  261.    wt: 2:   8 Distance Between Points on a Line
  262.    wt: 2:   7 Complex Numbers Appetizer
  263.    wt: 2:   6 Polar Multiplication and Rotation
  264.    wt: 2:   5 Cartesian Addition and Translation
  265.    wt: 2:   4 Polar Coordinates to and from
  266.    wt: 2:   2 Cartesian Coordinates with signs
  267.    wt: 2:   1 Cartesian Coordinates sans signs
  268.    wt: 2:   13 Angle Side Angle Failure
  269.    wt: 2:   12 Side Angle Side Failure
  270.    wt: 2:   3 Isometry of Triangles Congruence
  271.    wt: 2:   23 Distributive Law Two Derivations
  272.    wt: 2:   3 Multiplicative Counting Skills Principles
  273.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  274.    wt: 2:   6 Compound Interest Forward and Backwards
  275.    wt: 2:   5 Triangle Area Formula Backwards
  276.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  277.    wt: 2:   3 Linear Equation Literal Solution More
  278.    wt: 2:   3 Product Axioms Two Forms
  279.    wt: 2:   3 Geometric Formulas and Function Notation
  280.    wt: 2:   6 Algebraic Solution Example
  281.    wt: 2:   5 Algebraic Solutions Introduction
  282.    wt: 2:   4 Four Examples Fractional Coefficients
  283.    wt: 2:   2 Three Examples
  284.    wt: 2:   1 Proper Equal Sign Usage
  285.    wt: 2:   Using Letters for Physical Quantities
  286.    wt: 2:   11 Volume of Sphere
  287.    wt: 2:   10 Volume of Pyramid
  288.    wt: 2:   9 Volume of Cone
  289.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  290.    wt: 2:   4 Greater More Less Than Signs in General
  291.    wt: 2:   2 More and Less Than with Unlike Signs
  292.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  293.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  294.    wt: 2:   3 signed coordinates for maps and planes
  295.    wt: 2:   21 Reciprocals for Fractions and Wholes
  296.    wt: 2:   3 Unit fraction of a fraction
  297.    wt: 2:   13 Subtraction with Additive Inverse
  298.    wt: 2:   12 Adding Integers More Examples
  299.    wt: 2:   3 Adding Movements with same direction
  300.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  301.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  302.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  303.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  304.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  305.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  306.    wt: 2:   20 Uniqueness of Prime Factorization
  307.    wt: 2:   19 video Prime Factorization Unique
  308.    wt: 2:   18 video Count Factors given Prime Factorization
  309.    wt: 2:   17 Identify and Count Factors using Primes
  310.    wt: 2:   16 video Factors of 980 using prime
  311.    wt: 2:   15 video Factors of 20 using Prime Factorization
  312.    wt: 2:   14 video Factors of 24 Take II
  313.    wt: 2:   11 Efficient Square Rule Use
  314.    wt: 2:   9 video Prime Factorization upto 19 squared
  315.    wt: 2:   8 video Prime Factorization upto 19
  316.    wt: 2:   7 Calculator Usage Notes and Cautions
  317.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  318.    wt: 2:   5 Prime Factorization and a Square Rule
  319.    wt: 2:   4 video Prime Factorization Introduction
  320.    wt: 2:   2 Prime and Composites less than 16
  321.    wt: 2:   1 video how Products are bigger than factor
  322.    wt: 2:   Long Division forwards and backwards Example 2
  323.    wt: 2:   12 Why Long Division Works Take III
  324.    wt: 2:   3 Division Single Digit Divisor Example
  325.    wt: 2:   A Elementary Basis for Multiplication Methods
  326.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  327.    wt: 2:   Video Power Notation in Decimal Expansion
  328.    wt: 2:   1 Why 3 times 5 gives 15
  329.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  330.    wt: 2:   3. How to add with decimals A sans conversions
  331.    wt: 2:   Example 4 with x function of y
  332.    wt: 2:   Example 2
  333.    wt: 2:   Example 1
  334.    wt: 2:   A Related lessons in Volume 3
  335.    wt: 2:   3 Second derivative test
  336.    wt: 2:   2 Second derivative test prequel
  337.    wt: 2:   36 Cube root derivative animated
  338.    wt: 2:   34 Derivative of exponential function
  339.    wt: 2:   30Chain Rule A Proof
  340.    wt: 2:   28 Chain Rule Preparation for a Proof
  341.    wt: 2:   23 Chain Rule in general
  342.    wt: 2:   21 Chain Rule for powers
  343.    wt: 2:   20 Chain Rule for Pulley Systems
  344.    wt: 2:   19 Chain Rule for linear functions
  345.    wt: 2:   15 sine and cosine derivatives 3rd step
  346.    wt: 2:   13 sine and cosine derivatives 1st step
  347.    wt: 2:   10 Power rule for negative integers
  348.    wt: 2:   5 Product Rule
  349.    wt: 2:   2 Motivation for Limit Definition Take 1
  350.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  351.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  352.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  353.    wt: 2:   11 Limits at infinity Three Examples
  354.    wt: 2:   4 Numerical properties
  355.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  356.    wt: 2:   .H1 First Fundamental Theorem of Calculus
  357.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  358.    wt: 2:   G.5 Motions With Bounded Velocities
  359.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  360.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  361.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  362.    wt: 2:   F.5b Extreme Value Theorem
  363.    wt: 2:   F.2 Closed Range Theorem
  364.    wt: 2:   F.1 What Functions are Continuous
  365.    wt: 2:   E2 Algebraic Properties of Limits
  366.    wt: 2:   E1 Error Control Inequalities
  367.    wt: 2:   D2 Limits of Monotone Sequences
  368.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  369.    wt: 2:   C Triangle Inequalities
  370.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  371.    wt: 2:   A1. Introduction
  372.    wt: 2:   index
  373.    wt: 2:   Fall 1983 Calculus Appetizer
  374.    wt: 2:   Foreword
  375.    wt: 2:   Postscript More on Better Performance
  376.    wt: 2:   Appendix E. How To Study Mathematics and Why
  377.    wt: 2:   Appendix C. How to Read
  378.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  379.    wt: 2:   Chapter 21. Third Reading Guide
  380.    wt: 2:   Chapter 18. Rules for Algebra
  381.    wt: 2:   Chapter 8 Three Skills For Algebra
  382.    wt: 2:   Solutions For Arithmetic Exercises
  383.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  384.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  385.    wt: 2:   Foreword
  386.    wt: 2:   Postscript B Mathematics Education References
  387.    wt: 2:   Postscript A Three Remarks
  388.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  389.    wt: 2:   Foreword
  390.    wt: 2:   Chapter 23 Truth Tables
  391.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  392.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  393.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  394.    wt: 2:   N Mathematics Prepare for College Studies
  395.    wt: 2:   G. Written work formats for developing and showing skill
  396.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  397.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  398.    wt: 2:   Which Way To Go
  399.    wt: 2:   Montreal Basic and Advanced Mathematics Tutoring
  400.    wt: 1:   10 statistics
  401.    wt: 1:   9 combinatorics probability sets
  402.    wt: 1:   8 analytic geometry etc
  403.    wt: 1:   7 logic review and decimals an odd combination
  404.    wt: 1:   6 polynomials etc
  405.    wt: 1:   5 logarithms and exponentials etc
  406.    wt: 1:   4 algebra
  407.    wt: 1:   2 arithmetic with signed numbers
  408.    wt: 1:   1 arithmetic with unsigned numbers
  409.    wt: 1:   What is POMME
  410.    wt: 1:   why bother
  411.    wt: 1:   which way to go
  412.    wt: 1:   website reviews
  413.    wt: 1:   Teach the teachers plus goals
  414.    wt: 1:   Applied Maths Program14092009 POMME variant
  415.    wt: 1:   links Education Resources online
  416.    wt: 1:   site origins
  417.    wt: 1:   site eurekas
  418.    wt: 1:   About site lesson plans
  419.    wt: 1:   key notes and themes
  420.    wt: 1:   teacher certification
  421.    wt: 1:   Maps Plans Drawings
  422.    wt: 1:   how letters appear
  423.    wt: 1:   talk the algebra talk
  424.    wt: 1:   three difficulties
  425.    wt: 1:   teaching tips
  426.    wt: 1:   What to Tell Students
  427.    wt: 1:   Lessening Algebra Difficulties
  428.    wt: 1:   04 25 when to stop or suspend mathemat
  429.    wt: 1:   Operational Viewpoint to Value
  430.    wt: 1:   cultivating intelligence
  431.    wt: 1:   How to be a better instructor
  432.    wt: 1:   Motivation and Context Problem
  433.    wt: 1:   education an empirical art
  434.    wt: 1:   chapitre 12 00 les iles et division
  435.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  436.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  437.    wt: 1:   liens
  438.    wt: 1:   3 Energy Power Heat08
  439.    wt: 1:   E Wire Resistance Calculation03
  440.    wt: 1:   A Wire Resistance Qualitative01
  441.    wt: 1:   C Electromotive force conventional current02
  442.    wt: 1:   Ages 9 to 10
  443.    wt: 1:   Ages 8 to 9
  444.    wt: 1:   Ages 7 to 8
  445.    wt: 1:   Ages 6 to 7
  446.    wt: 1:   Ages 4 plus to 5 plus
  447.    wt: 1:   6 Set Existence Formation and Notation
  448.    wt: 1:   4 Function notation in and beyond mathematics
  449.    wt: 1:   Introduction Reading Guide
  450.    wt: 1:   8 Notes for instructors or tutors
  451.    wt: 1:   3 Polynomials Multiplication Addition
  452.    wt: 1:   13 cosecant function Definition Graph and Inverse
  453.    wt: 1:   9 motivation for name arcsin
  454.    wt: 1:   4 possible motivation for term arccos
  455.    wt: 1:   3 Left Inverse of cosine arccos definition
  456.    wt: 1:   2 cosine function more properties
  457.    wt: 1:   2 Radian Measure Numerical Value of one degree
  458.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  459.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  460.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  461.    wt: 1:   Straight Lines Intersection of
  462.    wt: 1:   14 Straight Lines Equations General Case
  463.    wt: 1:   11 Straight Lines Graphing y=mx
  464.    wt: 1:   10 Straight Lines through Origin Equations More
  465.    wt: 1:   9 Straight Lines through Origin Equations
  466.    wt: 1:   8 Straight Lines Equation for vertical
  467.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  468.    wt: 1:   17 tangent function angle sum formulas
  469.    wt: 1:   28 Expressing products of sines cosines as sums
  470.    wt: 1:   27 Logarithmic use of products of sines and cosines
  471.    wt: 1:   20 sine and cosine Double Angle Formulas
  472.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  473.    wt: 1:   17C sine and cosine double triple angle formulas
  474.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  475.    wt: 1:   15 sine cosine Complementary Angle Relations
  476.    wt: 1:   13 Graph of tangent function many periods
  477.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  478.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  479.    wt: 1:   11 sine and cosine double triple angle formulas
  480.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  481.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  482.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  483.    wt: 1:   3 Trigonometric Ratios sine and cosine
  484.    wt: 1:   6 Geometric Diagrams in Class
  485.    wt: 1:   4 Similarity Definition with Coordinate
  486.    wt: 1:   8 Mid Point Formula
  487.    wt: 1:   2 point slope equation for a line
  488.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  489.    wt: 1:   PS H Distributive Law For Complex Numbers
  490.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  491.    wt: 1:   3 Lengths and Areas on Maps and Plans
  492.    wt: 1:   26 More Less Greater Than Comparison
  493.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  494.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  495.    wt: 1:   22 Multiplication of Signed Numbers
  496.    wt: 1:   13 Arrows and Vectors in a Plane
  497.    wt: 1:   12 Real Numbers Line Signed Coordinates
  498.    wt: 1:   3 Location of Point in Decimal Multiplication
  499.    wt: 1:   6 Column Methods for Decimal Multiplication
  500.    wt: 1:   5 Distributive Law for Whole Numbers
  501.    wt: 1:   4 Commutative Law Groups Counting Form
  502.    wt: 1:   3 Inequalities Algebraically
  503.    wt: 1:   5 Proportionality in Equivalent Fractions
  504.    wt: 1:   4 Rates Ratios and Proporitionality
  505.    wt: 1:   2 Algebraic View
  506.    wt: 1:   1 What is Proportionality
  507.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  508.    wt: 1:   2 Linear Equation Literal Solution
  509.    wt: 1:   1 Changing Calculations
  510.    wt: 1:   3 More and Less Than with Unlike Signs
  511.    wt: 1:   2 More and Less Than for Counts and Measures
  512.    wt: 1:   13 Real Number Subtraction
  513.    wt: 1:   12 Real Number Additive Inverses or Negatives
  514.    wt: 1:   9 Coordinates for Regions in Space
  515.    wt: 1:   8 Coordinates for Maps and Planes
  516.    wt: 1:   3 Fractions
  517.    wt: 1:   1 Formulas Dependence and Function Notation
  518.    wt: 1:   More Exercises
  519.    wt: 1:   Simple Exercises
  520.    wt: 1:   4 GE III Animated Examples
  521.    wt: 1:   2 GE II Comparison
  522.    wt: 1:   1 GE Substitution four examples
  523.    wt: 1:   Skill Development Notes
  524.    wt: 1:   10 One Example
  525.    wt: 1:   9 Three Examples
  526.    wt: 1:   8 One Example
  527.    wt: 1:   7 Two Examples
  528.    wt: 1:   6 Three Examples
  529.    wt: 1:   5 Three Examples
  530.    wt: 1:   4 Two Examples
  531.    wt: 1:   2 Three Examples
  532.    wt: 1:   3 Counting with Sets etc
  533.    wt: 1:   3 Adding Words To Arithmetic
  534.    wt: 1:   1 Three Skills For Algebra
  535.    wt: 1:   arithmetic videos Real Player Format
  536.    wt: 1:   3 Properties of Square Roots with example
  537.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  538.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  539.    wt: 1:   13 GCD from given Prime Factorization
  540.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  541.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  542.    wt: 1:   2 Least Common Multiple LCM intro via list method
  543.    wt: 1:   12 GCD 2700 288 via Prime
  544.    wt: 1:   3 Counting with Tables and Trees II
  545.    wt: 1:   4 signed coordinates for regions in space
  546.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  547.    wt: 1:   3 Multiplying Units and Numbers
  548.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  549.    wt: 1:   22 Complex Compound Fractions
  550.    wt: 1:   21 Working With Signs
  551.    wt: 1:   20 Dividing Fractions the Why
  552.    wt: 1:   19 Dividing Fractions How TO
  553.    wt: 1:   13 Fraction Comparison Algebraic View
  554.    wt: 1:   12 Fraction Comparison
  555.    wt: 1:   A Associative Law Theorectical Note
  556.    wt: 1:   11 Adding Integers Formulas and Examples
  557.    wt: 1:   10 Integer Multiplication Formulas
  558.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  559.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  560.    wt: 1:   26 Divisibility by 2 3 5 Example
  561.    wt: 1:   23 Remainder Arithmetic Modulo 2
  562.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  563.    wt: 1:   21 Remainder Arithmetic Modulo 3
  564.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  565.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  566.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  567.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  568.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  569.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  570.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  571.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  572.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  573.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  574.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  575.    wt: 1:   Long Division Backward
  576.    wt: 1:   Long Division forwards and backwards Example 1
  577.    wt: 1:   D Decimal Multiplication Methods Derived
  578.    wt: 1:   C Counting Areas with Powers of Ten
  579.    wt: 1:   B Powers of Ten
  580.    wt: 1:   6 Multiplication Commutes Order Not Important
  581.    wt: 1:   5 Decimal Fraction Multiplication
  582.    wt: 1:   4 Two and Three Digit Multipliers
  583.    wt: 1:   2 One Digit Multipliers
  584.    wt: 1:   Subtraction Another Video Lesson
  585.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  586.    wt: 1:   5 A Tip for Efficent Subtraction
  587.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  588.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  589.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  590.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  591.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  592.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  593.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  594.    wt: 1:   Formula Evaluation how to show work
  595.    wt: 1:   Expression Evaluation how to show work
  596.    wt: 1:   The 12 Times Table Visually
  597.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  598.    wt: 1:   013 Travel Time Tables
  599.    wt: 1:   012 Division of Time Intervals by Time Intervals
  600.    wt: 1:   3 Units and Lengths of Time
  601.    wt: 1:   Example 2 volume of a cone
  602.    wt: 1:   Example 1 volume of a pyramid
  603.    wt: 1:   Volume of Solid by Cross Sections Lesson
  604.    wt: 1:   Example 1. Area Between x and x squared
  605.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  606.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  607.    wt: 1:   Area Between Curves Lesson Take 2
  608.    wt: 1:   Area Between Curves Lesson Take 1
  609.    wt: 1:   Summary
  610.    wt: 1:   A Related Material in Volume 3
  611.    wt: 1:   3 Two Chain Rule Method Exercises
  612.    wt: 1:   4 Second derivative test exercise example
  613.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  614.    wt: 1:   A Chain Rule Real Player video examples
  615.    wt: 1:   29 Chain Rule Optional Reading
  616.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  617.    wt: 1:   26 Chain Rule Recognising outer inner functions
  618.    wt: 1:   25 Chain Rule Animated Examples Continued
  619.    wt: 1:   24 Chain Rule Animated Examples
  620.    wt: 1:   18 Chain Rule Introduction
  621.    wt: 1:   17 Derivatives of quotients of sine and cosine
  622.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  623.    wt: 1:   14 sine and cosine derivatives 2nd step
  624.    wt: 1:   11 Quotient rule
  625.    wt: 1:   9 Reciprocal rule
  626.    wt: 1:   8 Differentiation of polynomials
  627.    wt: 1:   7 Animated Differentiation Examples
  628.    wt: 1:   6 Power rule from product rule
  629.    wt: 1:   4 Sum Rule
  630.    wt: 1:   10 Three one sided limits with infinite values
  631.    wt: 1:   9 Limits Continuity and Composition
  632.    wt: 1:   8 Four Animated Examples
  633.    wt: 1:   7 Evaluation by immediate or delayed substitution
  634.    wt: 1:   6 Continuity at a point
  635.    wt: 1:   5 Jumps and absence of unlimited error control
  636.    wt: 1:   2 Algebraic codification
  637.    wt: 1:   1 Numerical introduction
  638.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  639.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  640.    wt: 1:   Chapter 22 Complex Numbers
  641.    wt: 1:   Chapter 21 Arrow Addition
  642.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  643.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  644.    wt: 1:   Chapter 18. Slopes Areas Integration
  645.    wt: 1:   Chapter 17. Area Approximation
  646.    wt: 1:   Chapter 16. Velocity Approximation
  647.    wt: 1:   Chapter 15. Slope Approximation
  648.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  649.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  650.    wt: 1:   Chapter 11. Graphing Slope versus Position
  651.    wt: 1:   Chapter 10 Slopes and Units
  652.    wt: 1:   Chapter 9 About First Courses in Calculus
  653.    wt: 1:   Chapter 8. Slope Interpretation
  654.    wt: 1:   Chapter 7 Slopes and Velocity
  655.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  656.    wt: 1:   Chapter 5. Slope Sign Tests
  657.    wt: 1:   Chapter 4. More Slope Sign Analysis
  658.    wt: 1:   Chapter 2. Slopes and Ski Trails
  659.    wt: 1:   Chapter 1.Introduction
  660.    wt: 1:   Appendix D. What to do in School and Why
  661.    wt: 1:   Appendix B. How To Learn
  662.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  663.    wt: 1:   Chapter 28 Occurrence Tables
  664.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  665.    wt: 1:   Chapter 25. Mathematical Induction Examples
  666.    wt: 1:   Chapter 25. Mathematical Induction Examples
  667.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  668.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  669.    wt: 1:   Chapter 20. Degrees and Radians
  670.    wt: 1:   Chapter 19. Functions and Sets
  671.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  672.    wt: 1:   Chapter 16. Painless Theorem Proving
  673.    wt: 1:   Chapter 15. Solving Linear Equations
  674.    wt: 1:   Chapter 11. Why Shorthand
  675.    wt: 1:   Chapter 10 Describing and Changing Calculations
  676.    wt: 1:   Postscript What is a Variable
  677.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  678.    wt: 1:   Chapter 6 Change of Language
  679.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  680.    wt: 1:   Chapter 4 Longer Chains of Reason
  681.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  682.    wt: 1:   Annotated Links to Material Elsehwere
  683.    wt: 1:   Chapter 11 Elementary Instruction
  684.    wt: 1:   Chapter 10 Transition
  685.    wt: 1:   Chapter 9 The Two Ends
  686.    wt: 1:   Chapter 8 Modern Instruction
  687.    wt: 1:   Chapter 7 Two Treatments of Geometry
  688.    wt: 1:   Chapter 5 Four References
  689.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  690.    wt: 1:   Chapter 1 Introduction
  691.    wt: 1:   Postscript C Consistency as a Tool for Reason
  692.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  693.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  694.    wt: 1:   Foreword
  695.    wt: 1:   R Why Learn Mathematics Skills
  696.    wt: 1:   O On Learning Mathematics and Science
  697.    wt: 1:   M Words to extend arithmetic
  698.    wt: 1:   L Skills with take home value
  699.    wt: 1:   C. Domino effect of being careful

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