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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74 matches:

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

Web Page Search

811 matches:

  1.    wt: 5:   5 Function notation for geometric transformations
  2.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  3.    wt: 5:   Appendix 2 Three Decimal Subtraction Methods
  4.    wt: 5:   G.2 Lipshitz Conditions Integration Calculus Reform
  5.    wt: 4:   C Electromotive force conventional current02
  6.    wt: 4:   26 Function definitions done and coming
  7.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  8.    wt: 4:   2 Algebraic use of function notation
  9.    wt: 4:   8 Formulas for Fractional Exponents with Logarithms
  10.    wt: 4:   Rewriting algebraic substitution as function substitutions
  11.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  12.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  13.    wt: 4:   25 tangent double angle formula Slope connection
  14.    wt: 4:   12 Graph of tangent function for one period
  15.    wt: 4:   7 Translations Rotations Reflections Dilatations
  16.    wt: 4:   4 Equations for lines three forms
  17.    wt: 4:   C Three Decimal Subtraction Methods
  18.    wt: 4:   6 Column Methods for Decimal Multiplication
  19.    wt: 4:   2 Essentially one exercises three with solution
  20.    wt: 4:   1 Three Skills For Algebra
  21.    wt: 4:   Long Division forwards and backwards Example 2
  22.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  23.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  24.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  25.    wt: 4:   3 Motivation for Limit Definition Take 2
  26.    wt: 4:   2 Motivation for Limit Definition Take 1
  27.    wt: 4:   3 Decimal insights for limits continuity convergence
  28.    wt: 4:   Chapter 8 Three Skills For Algebra
  29.    wt: 4:   Chapter 22 Contrapositive and Vacuously True Implications
  30.    wt: 3:   H LAMP Introduction Instructional Concepts
  31.    wt: 3:   Education Reform Inconsistencies
  32.    wt: 3:   geometric implications for algebra
  33.    wt: 3:   three goals for Mathematics Education
  34.    wt: 3:   02 21 words for teachers
  35.    wt: 3:   02 20 mathematics education references
  36.    wt: 3:   2 Conductance Resistance Duality02
  37.    wt: 3:   B Electromotive force conventional current01
  38.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  39.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  40.    wt: 3:   22 Square Root function graphically
  41.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  42.    wt: 3:   14 Surjections Injections Bijections
  43.    wt: 3:   13 From one to one to many to one
  44.    wt: 3:   12 Function Domain Recognition Exercises
  45.    wt: 3:   6 Set Existence Formation and Notation
  46.    wt: 3:   4 Function notation in and beyond mathematics
  47.    wt: 3:   1 Geometric Introduction of Function Notation
  48.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  49.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  50.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  51.    wt: 3:   12 motivation for term arctan
  52.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  53.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  54.    wt: 3:   30 unit circle calculation of six trigonometric functions
  55.    wt: 3:   26 Formulas for products of sines and cosines
  56.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  57.    wt: 3:   12 cis formulas for sine cosines and tangent
  58.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  59.    wt: 3:   2 point slope equation for a line
  60.    wt: 3:   PS B Parallelogram Construction Methods
  61.    wt: 3:   PS A Kite Construction Methods
  62.    wt: 3:   22 Multiplication of Signed Numbers
  63.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  64.    wt: 3:   8 Division and Mulplication of Compound Fractions
  65.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  66.    wt: 3:   4 Location of Point in Decimal Addition
  67.    wt: 3:   3 Location of Point in Decimal Multiplication
  68.    wt: 3:   2 Counting Digits in Decimal Multiplication
  69.    wt: 3:   1 Fractions with Finite Decimal Expansions
  70.    wt: 3:   E Long Division Methods more
  71.    wt: 3:   D Long Division Methods
  72.    wt: 3:   B Decimal Comparison and Subtraction
  73.    wt: 3:   A Decimal Addition Columm Methods
  74.    wt: 3:   7 Decimals Multiplication Methods Examples
  75.    wt: 3:   2 Combing Counts Addition Skills and Principles
  76.    wt: 3:   2 Fraction Operations Physical Development
  77.    wt: 3:   2 Linear Equation Literal Solution
  78.    wt: 3:   2 Addition and Multiplication Axioms
  79.    wt: 3:   3 Geometric Formulas and Function Notation
  80.    wt: 3:   2 Computation Rules Evaluation
  81.    wt: 3:   1 Formulas Dependence and Function Notation
  82.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  83.    wt: 3:   3 GE III Equation Addition and Multiplication
  84.    wt: 3:   5 Algebraic Solutions Introduction
  85.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  86.    wt: 3:   12 GCD 2700 288 via Prime
  87.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  88.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  89.    wt: 3:   22 Complex Compound Fractions
  90.    wt: 3:   21 Reciprocals for Fractions and Wholes
  91.    wt: 3:   16 Addition Subtraction Comparision Compared
  92.    wt: 3:   13 Fraction Comparison Algebraic View
  93.    wt: 3:   12 Fraction Comparison
  94.    wt: 3:   2 Unit Fraction Multiplication
  95.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  96.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  97.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  98.    wt: 3:   Long Division forwards and backwards Example 3
  99.    wt: 3:   Long Division forwards and backwards Example 1
  100.    wt: 3:   12 Why Long Division Works Take III
  101.    wt: 3:   D Decimal Multiplication Methods Derived
  102.    wt: 3:   A Elementary Basis for Multiplication Methods
  103.    wt: 3:   5 Decimal Fraction Multiplication
  104.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  105.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  106.    wt: 3:   Video Power Notation in Decimal Expansion
  107.    wt: 3:   Subtraction with J Conversions Example
  108.    wt: 3:   9 22 Minute Subtraction Review Video
  109.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  110.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  111.    wt: 3:   7 Adding decimal fractions using decimal point
  112.    wt: 3:   4. How to add with decimals B with conversions
  113.    wt: 3:   3. How to add with decimals A sans conversions
  114.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  115.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  116.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  117.    wt: 3:   6 How long is a million seconds
  118.    wt: 3:   28 Chain Rule Preparation for a Proof
  119.    wt: 3:   22 Chain Rule for polynomials
  120.    wt: 3:   2 Algebraic codification
  121.    wt: 3:   D2 Limits of Monotone Sequences
  122.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  123.    wt: 3:   Chapter 29 Contrapositive and Vacuously True Implications
  124.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  125.    wt: 3:   Chapter 23. Notation For Sums
  126.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  127.    wt: 3:   Postscript C Consistency as a Tool for Reason
  128.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  129.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  130.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  131.    wt: 3:   Talking pdf files for online lessons a webvideo alternative
  132.    wt: 2:   G LAMP Introduction Problem Solving Skills
  133.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  134.    wt: 2:   Ramblings Introduction Algebra Essay
  135.    wt: 2:   Skills Chapter 3 Algebra
  136.    wt: 2:   Skills Chapter 2 Geometry
  137.    wt: 2:   Skills Chapter 0 Introduction
  138.    wt: 2:   7 logic review and decimals an odd combination
  139.    wt: 2:   three goals to set for students
  140.    wt: 2:   permissions for teachers
  141.    wt: 2:   links Education Resources online
  142.    wt: 2:   Secondary Three Mathematics
  143.    wt: 2:   Secondary One Mathematics
  144.    wt: 2:   teaching tutoring algebraic reason
  145.    wt: 2:   three aims for mathematics students
  146.    wt: 2:   formal or informal peer review
  147.    wt: 2:   three kinds of reason in mathematics
  148.    wt: 2:   Four ways to improve education reform
  149.    wt: 2:   Motivation and Context Problem
  150.    wt: 2:   Prequel In For A Penny In For A Pound
  151.    wt: 2:   fairness and inductive principles for instruction
  152.    wt: 2:   chapitre 12 00 les iles et division
  153.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  154.    wt: 2:   chapitre 04 05 Implication versus suggestion
  155.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  156.    wt: 2:   chapitre 02 00 La Communication des idees
  157.    wt: 2:   D Wire Resistance Calculation02
  158.    wt: 2:   24 Standards For Skill Develoment Take II
  159.    wt: 2:   24 Standards For Skill Develoment
  160.    wt: 2:   22 Student Centered Highschool Mathematics
  161.    wt: 2:   13 Addition and Addition Tables
  162.    wt: 2:   12 Goals and Objectives For Mathematics
  163.    wt: 2:   10 Ends values for work study instruction
  164.    wt: 2:   2 Reading and Writing Skills
  165.    wt: 2:   Ages 12 to 14 Skills with take home value
  166.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  167.    wt: 2:   sign monoticity analysis example 2
  168.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  169.    wt: 2:   23 Inverse Functions
  170.    wt: 2:   20 Interchanging coordinates a reflection
  171.    wt: 2:   17 Function maxima minima and their location
  172.    wt: 2:   8 Set view of relations and functions
  173.    wt: 2:   3 Formula or function graphing exercise
  174.    wt: 2:   7 quadratic formulla derivation
  175.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  176.    wt: 2:   2 Square Root Simplification a prequel
  177.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  178.    wt: 2:   4 Polynomials Long division linear divisor
  179.    wt: 2:   3 Polynomials Multiplication Addition
  180.    wt: 2:   2 Column Multiplication Method
  181.    wt: 2:   16 cotangent function Definition Graph and Inverse
  182.    wt: 2:   15 cosecant function Definition Graph and Inverse
  183.    wt: 2:   14 secant function Definition Graph and Inverse
  184.    wt: 2:   13 cosecant function Definition Graph and Inverse
  185.    wt: 2:   9 motivation for name arcsin
  186.    wt: 2:   4 possible motivation for term arccos
  187.    wt: 2:   2 cosine function more properties
  188.    wt: 2:   2 Radian Measure Numerical Value of one degree
  189.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  190.    wt: 2:   Straight Lines Instersection Solving Equations
  191.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  192.    wt: 2:   8 Straight Lines Equation for vertical
  193.    wt: 2:   7 Tangent Function is odd on this domain
  194.    wt: 2:   17 tangent function angle sum formulas
  195.    wt: 2:   29 secant cosecant and cotangent for acute angles
  196.    wt: 2:   24 tangent Angle Difference Formula
  197.    wt: 2:   21 sine and cosine Half Angle Formulas
  198.    wt: 2:   20 sine and cosine Double Angle Formulas
  199.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  200.    wt: 2:   17E Trig Formulas for dot and cross Products
  201.    wt: 2:   17D cis formulas for sine cosines and tangent
  202.    wt: 2:   1 Unit Points Reflections Rotations
  203.    wt: 2:   21 Logarithms Powers and Exponentials
  204.    wt: 2:   13 Trig Formulas for dot and cross Products
  205.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  206.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  207.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  208.    wt: 2:   12 Links Lessons elsewhere
  209.    wt: 2:   6 Polar Multiplication and Rotation
  210.    wt: 2:   5 Cartesian Addition and Translation
  211.    wt: 2:   PS G Rotation Distributes over Addition
  212.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  213.    wt: 2:   11 Triangle Construction Fails
  214.    wt: 2:   9 Construction of a right bisector
  215.    wt: 2:   2 Correspondence between Triangles
  216.    wt: 2:   26 More Less Greater Than Comparison
  217.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  218.    wt: 2:   23 Distributive Law Two Derivations
  219.    wt: 2:   21 Addition of Multiples of a Single Vector
  220.    wt: 2:   11 Signed Number Addition and Addition Properties
  221.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  222.    wt: 2:   9 Division with Digits after Decimal Point
  223.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  224.    wt: 2:   8 Column Multiplication Methods in General
  225.    wt: 2:   4 Fraction Operations Axiomatic Development
  226.    wt: 2:   5 Proportionality in Equivalent Fractions
  227.    wt: 2:   2 Algebraic View
  228.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  229.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  230.    wt: 2:   3 Linear Equation Literal Solution More
  231.    wt: 2:   4 Subtraction and Division Axioms
  232.    wt: 2:   2 More and Less Than for Counts and Measures
  233.    wt: 2:   9 Coordinates for Regions in Space
  234.    wt: 2:   2 GE II Comparison
  235.    wt: 2:   6 Algebraic Solution Example
  236.    wt: 2:   2 Three Examples
  237.    wt: 2:   2 Three Examples
  238.    wt: 2:   Formula Usage Show Work Format
  239.    wt: 2:   8 Compound Interest Formula Evaluation
  240.    wt: 2:   7 Compound Interest Formula Introduction
  241.    wt: 2:   2 Another Rectangle Area Formula Example
  242.    wt: 2:   1 Written work formats for developing and showing skill
  243.    wt: 2:   7 Cautious or Safe Set Construction
  244.    wt: 2:   6 Three Notions of What is a Variable
  245.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  246.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  247.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  248.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  249.    wt: 2:   2 Least Common Multiple LCM intro via list method
  250.    wt: 2:   1 Least Common Multiples LCM Introduction
  251.    wt: 2:   4 signed coordinates for regions in space
  252.    wt: 2:   6 Simplification of Fractions with Units
  253.    wt: 2:   1 Addition and Subtraction with Units
  254.    wt: 2:   20 Dividing Fractions the Why
  255.    wt: 2:   11 Simplification an Algebraic View
  256.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  257.    wt: 2:   6 Multiplication Algebraically Take II
  258.    wt: 2:   4 Fraction Multiplication
  259.    wt: 2:   3 Unit fraction of a fraction
  260.    wt: 2:   B Integer Long Division Multiple Choices
  261.    wt: 2:   10 Integer Multiplication Formulas
  262.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  263.    wt: 2:   26 Divisibility by 2 3 5 Example
  264.    wt: 2:   23 Remainder Arithmetic Modulo 2
  265.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  266.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  267.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  268.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  269.    wt: 2:   20 Uniqueness of Prime Factorization
  270.    wt: 2:   15 video Factors of 20 using Prime Factorization
  271.    wt: 2:   10 video Prime Factorization upto 23 squared
  272.    wt: 2:   4 video Prime Factorization Introduction
  273.    wt: 2:   Long Division Backwards more
  274.    wt: 2:   Long Division Backward
  275.    wt: 2:   10 Division by Five Long and Short Ways
  276.    wt: 2:   9 Why Long Division Works Take II
  277.    wt: 2:   7 Long Divison Mistake Catching
  278.    wt: 2:   5 Long Division Include Zeroes or not
  279.    wt: 2:   4 Division with 2 Digit Divsors
  280.    wt: 2:   2 Division with Single Digit Divisors
  281.    wt: 2:   2 One Digit Multipliers
  282.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  283.    wt: 2:   Subtraction Another Video Lesson
  284.    wt: 2:   5 A Tip for Efficent Subtraction
  285.    wt: 2:   2 Subtraction Easy Case Examples
  286.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  287.    wt: 2:   2 Decimal Counting Practices
  288.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  289.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  290.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  291.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  292.    wt: 2:   Formula Evaluation how to show work
  293.    wt: 2:   Expression Evaluation how to show work
  294.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  295.    wt: 2:   012 Division of Time Intervals by Time Intervals
  296.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  297.    wt: 2:   5 Conversion Arithmetic
  298.    wt: 2:   Example 2 volume of a cone
  299.    wt: 2:   Volume of Solid by Cross Sections Lesson
  300.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  301.    wt: 2:   Area Between Curves Lesson Take 2
  302.    wt: 2:   2 Second derivative test prequel
  303.    wt: 2:   38 Formulas and derivatives for powers and roots
  304.    wt: 2:   34 Derivative of exponential function
  305.    wt: 2:   29 Chain Rule Optional Reading
  306.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  307.    wt: 2:   26 Chain Rule Recognising outer inner functions
  308.    wt: 2:   25 Chain Rule Animated Examples Continued
  309.    wt: 2:   21 Chain Rule for powers
  310.    wt: 2:   20 Chain Rule for Pulley Systems
  311.    wt: 2:   19 Chain Rule for linear functions
  312.    wt: 2:   10 Three one sided limits with infinite values
  313.    wt: 2:   9 Limits Continuity and Composition
  314.    wt: 2:   7 Evaluation by immediate or delayed substitution
  315.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  316.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  317.    wt: 2:   F.1 What Functions are Continuous
  318.    wt: 2:   E2 Algebraic Properties of Limits
  319.    wt: 2:   PostScript For and Against Decimal Perspectives
  320.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  321.    wt: 2:   Chapter 23 Links To Trigonometry
  322.    wt: 2:   Chapter 22 Complex Numbers
  323.    wt: 2:   Chapter 21 Arrow Addition
  324.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  325.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  326.    wt: 2:   Postscript More on Better Performance
  327.    wt: 2:   Postscript For Better Performance
  328.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  329.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  330.    wt: 2:   Chapter 25. Mathematical Induction Examples
  331.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  332.    wt: 2:   Chapter 18. Rules for Algebra
  333.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  334.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  335.    wt: 2:   Solutions For Arithmetic Exercises
  336.    wt: 2:   Chapter 4 Longer Chains of Reason
  337.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  338.    wt: 2:   Chapter 2 For and Against Mathematics
  339.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  340.    wt: 2:   Postscript B More on Story Telling and Reason
  341.    wt: 2:   Chapter 24 Direct and Indirect Reason
  342.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  343.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  344.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  345.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  346.    wt: 2:   Chapter 7 Longer Chains of Reason
  347.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  348.    wt: 2:   G. Written work formats for developing and showing skill
  349.    wt: 2:   How to Build Skills and Confidence
  350.    wt: 2:   Chapter 3 Algebra Starter Lessons
  351.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  352.    wt: 2:   7 Games and Activities for Instruction
  353.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  354.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  355.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  356.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  357.    wt: 2:   The Math Forum and Site Content
  358.    wt: 1:   Appendix 2 primary school Arithmetic 01
  359.    wt: 1:   K LAMP Musings Science Education
  360.    wt: 1:   J LAMP Introduction Extrinsic Origins
  361.    wt: 1:   I LAMP Introduction Study Habits
  362.    wt: 1:   F LAMP Introduction Prerequisites
  363.    wt: 1:   E LAMP Introduction Modern Mathematics
  364.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  365.    wt: 1:   A Introduction Objectives
  366.    wt: 1:   Skills Chapter 5 Calculus
  367.    wt: 1:   Skills Chapter 4 Logic
  368.    wt: 1:   Skills Chapter 1 Arithmetic
  369.    wt: 1:   5 logarithms and exponentials etc
  370.    wt: 1:   4 algebra
  371.    wt: 1:   2 arithmetic with signed numbers
  372.    wt: 1:   Applied Maths Program14092009 POMME variant
  373.    wt: 1:   activities for students
  374.    wt: 1:   About site lesson plans
  375.    wt: 1:   Mathematics Education Professors
  376.    wt: 1:   teacher certification
  377.    wt: 1:   modern education
  378.    wt: 1:   mathematics in context
  379.    wt: 1:   Postscript 2007 01 10
  380.    wt: 1:   Secondary Two Mathematics
  381.    wt: 1:   talk the algebra talk
  382.    wt: 1:   three difficulties
  383.    wt: 1:   Lessening Algebra Difficulties
  384.    wt: 1:   the trouble with algebra
  385.    wt: 1:   04 29 New Mathematics Curriculum
  386.    wt: 1:   04 25 when to stop or suspend mathemat
  387.    wt: 1:   standards for course material
  388.    wt: 1:   Operational Viewpoint to Value
  389.    wt: 1:   mathematics instruction in general
  390.    wt: 1:   Education in mathematics science and technology
  391.    wt: 1:   Different Kinds of Reasoning in maths
  392.    wt: 1:   need for a mixed mathematics curriculum
  393.    wt: 1:   education an empirical art
  394.    wt: 1:   words for mathematics instructor
  395.    wt: 1:   chapitre 07 01 principle D induction mathematique
  396.    wt: 1:   chapitre 06 00 Chaines de la raison
  397.    wt: 1:   chapitre 05 00 Deception
  398.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  399.    wt: 1:   chapitre 04 08 Limitations et benefices
  400.    wt: 1:   chapitre 04 04 Parlons de la logique
  401.    wt: 1:   chapitre 04 02 Deuxieme enigme
  402.    wt: 1:   chapitre 04 00 Les regles d implication
  403.    wt: 1:   chapitre 01 00 Introduction
  404.    wt: 1:   problemes responses
  405.    wt: 1:   Trois Notions qui menent a algebre
  406.    wt: 1:   deux definitions pour variable
  407.    wt: 1:   2 Energy Power Heat07
  408.    wt: 1:   B Energy Power02
  409.    wt: 1:   1 Conductance Resistance Duality01
  410.    wt: 1:   F Wire Resistance Calculation04
  411.    wt: 1:   E Wire Resistance Calculation03
  412.    wt: 1:   C Wire Resistance Calculation01
  413.    wt: 1:   B Wire Resistance Qualitative02
  414.    wt: 1:   2 Unlike resistors in parallel01
  415.    wt: 1:   H Series Circuit02
  416.    wt: 1:   E Kirchoffs Second Law
  417.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  418.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  419.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  420.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  421.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  422.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  423.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  424.    wt: 1:   17 Math Booklets for children and young teenagers
  425.    wt: 1:   16 Secondary Mathematics Tips
  426.    wt: 1:   15 Counting For Parents
  427.    wt: 1:   14 Multiplication and Times Tables
  428.    wt: 1:   11 Help and Defend Your Child or Teens Education
  429.    wt: 1:   9 Streaming by Student Cooperation
  430.    wt: 1:   7 Student Motivation
  431.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  432.    wt: 1:   5 Patience Please for Yourself and Your Charges
  433.    wt: 1:   4 Learning Takes Time and Effort
  434.    wt: 1:   3 Preparing for Science Studies
  435.    wt: 1:   1 Speaking Skills
  436.    wt: 1:   Ages 12 to 14 Geometry
  437.    wt: 1:   Ages 12 to 14 Arithmetic
  438.    wt: 1:   Ages 10 to 12 Geometry
  439.    wt: 1:   Ages 10 to 12 Arithmetic
  440.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  441.    wt: 1:   sign monoticity analysis example 4
  442.    wt: 1:   sign monoticity analysis example 3
  443.    wt: 1:   sign monoticity analysis example 1
  444.    wt: 1:   19 Horizontal line rule and method
  445.    wt: 1:   16 Increasing or decreasing on intervals
  446.    wt: 1:   15 Sign analysis of functions
  447.    wt: 1:   11 Function Domain Range Source and Targets
  448.    wt: 1:   10 Interval Notation
  449.    wt: 1:   9 Set theory term relation possible origins
  450.    wt: 1:   7 Functions with finite domains
  451.    wt: 1:   Introduction Reading Guide
  452.    wt: 1:   9 quadratics physical and further context
  453.    wt: 1:   8 quadratics backward use of various formulas
  454.    wt: 1:   3 quadratics factoring by inspection
  455.    wt: 1:   2 quadratics graphing in general
  456.    wt: 1:   10 Exponential Growth and Decay Models
  457.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  458.    wt: 1:   8 Notes for instructors or tutors
  459.    wt: 1:   7 Links Lessons Elsewhere
  460.    wt: 1:   10 arctan left inverse of tangent Definition
  461.    wt: 1:   7 arcsin left inverse of sine Definition
  462.    wt: 1:   6 Graph of arccos function
  463.    wt: 1:   5 Swapping Coordinates is a reflection
  464.    wt: 1:   3 Left Inverse of cosine arccos definition
  465.    wt: 1:   1 cosine function properties
  466.    wt: 1:   8 Radian Measures of Common Angles
  467.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  468.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  469.    wt: 1:   1 Degrees and Radians Introduction
  470.    wt: 1:   A Global Time and Navigation
  471.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  472.    wt: 1:   12 From Applied To Pure Mathematics
  473.    wt: 1:   11 Component Method
  474.    wt: 1:   10 Parallelogram Addition Method
  475.    wt: 1:   5 Head To Tail Arrow Addition
  476.    wt: 1:   3 Navigation with Arrows or Vectors
  477.    wt: 1:   2 Signed Coordinates
  478.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  479.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  480.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  481.    wt: 1:   Straight Lines ASA Intersection Study More
  482.    wt: 1:   Straight Lines ASA Intersection Study
  483.    wt: 1:   Straight Lines Intersection of
  484.    wt: 1:   14 Straight Lines Equations General Case
  485.    wt: 1:   12 Straight Lines Graphing mx plus b
  486.    wt: 1:   10 Straight Lines through Origin Equations More
  487.    wt: 1:   9 Straight Lines through Origin Equations
  488.    wt: 1:   5 Tangent Function Graph
  489.    wt: 1:   4 Tangent Function Properties
  490.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  491.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  492.    wt: 1:   1 Straight Lines Slope Concept
  493.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  494.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  495.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  496.    wt: 1:   32 seven rows of pascals triangle
  497.    wt: 1:   28 Expressing products of sines cosines as sums
  498.    wt: 1:   27 Logarithmic use of products of sines and cosines
  499.    wt: 1:   17G Pythagorean Theorem Converse
  500.    wt: 1:   17C sine and cosine double triple angle formulas
  501.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  502.    wt: 1:   17A The complex number valued trig function cis
  503.    wt: 1:   16 Right Triangle Complementary Angle Relations
  504.    wt: 1:   15 sine cosine Complementary Angle Relations
  505.    wt: 1:   13 Graph of tangent function many periods
  506.    wt: 1:   11 tangent function undefined when terminal side vertical
  507.    wt: 1:   9 Graphs of sine and cosine over one period
  508.    wt: 1:   8 period of tangent function
  509.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  510.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  511.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  512.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  513.    wt: 1:   2 Quadrant I reference Angles
  514.    wt: 1:   Unit Circle Development of Trigonometry
  515.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  516.    wt: 1:   20 N th Roots of Complex Numbers
  517.    wt: 1:   16 References and Originality Question
  518.    wt: 1:   15 Pythagorean Theorem Converse
  519.    wt: 1:   11 sine and cosine double triple angle formulas
  520.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  521.    wt: 1:   9 The complex number valued trig function cis
  522.    wt: 1:   8 Unit Circle Development of Trigonometry
  523.    wt: 1:   7 Second Way to Calculate Products
  524.    wt: 1:   4 Multiplication Properties
  525.    wt: 1:   3 Addition Properties
  526.    wt: 1:   2 Complex Numbers made easier we hope
  527.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  528.    wt: 1:   3 Trigonometric Ratios sine and cosine
  529.    wt: 1:   Why Trigonometry the whyslopes view
  530.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  531.    wt: 1:   12 Triangles Similarity More Problems
  532.    wt: 1:   8 Similarity of Triangles and Polygons
  533.    wt: 1:   4 Similarity Definition with Coordinate
  534.    wt: 1:   2 Similarity By Design
  535.    wt: 1:   1 Early Concept of Like or Similar Shapes
  536.    wt: 1:   8 Mid Point Formula
  537.    wt: 1:   7 Exercises to test skill and concept mastery
  538.    wt: 1:   6 Intersection of lines by solving linear systems
  539.    wt: 1:   5 Algebraic View of Slopes
  540.    wt: 1:   3 Slope product for perpendicular lines
  541.    wt: 1:   1 Numerical view of lines and their equations
  542.    wt: 1:   13 Pythagorean spatial distance formulas
  543.    wt: 1:   12 Spatial Coordinates
  544.    wt: 1:   10 Pythagorean plane distance formula
  545.    wt: 1:   8 Distance Between Points on a Line
  546.    wt: 1:   2 Cartesian Coordinates with signs
  547.    wt: 1:   PS H Distributive Law For Complex Numbers
  548.    wt: 1:   PS E Multiplication with Polar Coordinates
  549.    wt: 1:   PS D Addition with Cartesian Coordinates
  550.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  551.    wt: 1:   21 Parallelograms
  552.    wt: 1:   12 Side Angle Side Failure
  553.    wt: 1:   6 Ruler and compass Angle Bisection
  554.    wt: 1:   3 Isometry of Triangles Congruence
  555.    wt: 1:   1 Initial Concepts and Terms
  556.    wt: 1:   Short Course on Euclidean Geometry
  557.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  558.    wt: 1:   4 Angles on Maps Plans drawn to scale
  559.    wt: 1:   3 Lengths and Areas on Maps and Plans
  560.    wt: 1:   2 Measuring Area Directly
  561.    wt: 1:   About Folder Contents
  562.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  563.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  564.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  565.    wt: 1:   15 Head to Tails in place Addition Associative
  566.    wt: 1:   12 Real Numbers Line Signed Coordinates
  567.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  568.    wt: 1:   5 Distributive Law for Whole Numbers
  569.    wt: 1:   4 Commutative Law Groups Counting Form
  570.    wt: 1:   3 Multiplicative Counting Skills Principles
  571.    wt: 1:   3 Inequalities Algebraically
  572.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  573.    wt: 1:   4 Rates Ratios and Proporitionality
  574.    wt: 1:   3 Proportionality Examples
  575.    wt: 1:   1 What is Proportionality
  576.    wt: 1:   6 Compound Interest Forward and Backwards
  577.    wt: 1:   5 Triangle Area Formula Backwards
  578.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  579.    wt: 1:   1 Changing Calculations
  580.    wt: 1:   6 Equations and Systems Equivalent or Implied
  581.    wt: 1:   5 Equality in Algebra
  582.    wt: 1:   3 Product Axioms Two Forms
  583.    wt: 1:   1 Equivalent Computation Rules
  584.    wt: 1:   4 Comparison of Negative Numbers
  585.    wt: 1:   1 Real Numbers Comparison
  586.    wt: 1:   16 Real Numbers Comparison
  587.    wt: 1:   15 Real Number Division
  588.    wt: 1:   14 Real Number Multiplication
  589.    wt: 1:   13 Real Number Subtraction
  590.    wt: 1:   12 Real Number Additive Inverses or Negatives
  591.    wt: 1:   11 Real Number Addition
  592.    wt: 1:   8 Coordinates for Maps and Planes
  593.    wt: 1:   5 Rational Numbers More
  594.    wt: 1:   4 Rational Numbers
  595.    wt: 1:   3 Fractions
  596.    wt: 1:   2 Integers
  597.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  598.    wt: 1:   1 GE Substitution four examples
  599.    wt: 1:   1 Essentially One Unknown
  600.    wt: 1:   4 Four Examples Fractional Coefficients
  601.    wt: 1:   10 One Example
  602.    wt: 1:   9 Three Examples
  603.    wt: 1:   8 One Example
  604.    wt: 1:   6 Three Examples
  605.    wt: 1:   5 Three Examples
  606.    wt: 1:   Using Letters for Physical Quantities
  607.    wt: 1:   13 Naming Identifying Formulas with Words
  608.    wt: 1:   9 Volume of Cone
  609.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  610.    wt: 1:   5 Box Volume Formula Example
  611.    wt: 1:   4 Circle Area Formula Example
  612.    wt: 1:   3 Triangle Area Formula Example
  613.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  614.    wt: 1:   6 Power Set Notation
  615.    wt: 1:   5 Product Builder Notation
  616.    wt: 1:   4 Subset Builder Notation
  617.    wt: 1:   2 Venn Diagrams
  618.    wt: 1:   4 A Brief Story of numbers and algebra
  619.    wt: 1:   2 What is a Variable
  620.    wt: 1:   About Folder Contents
  621.    wt: 1:   arithmetic videos Real Player Format
  622.    wt: 1:   3 Comparison of Negative Numbers
  623.    wt: 1:   2 More and Less Than with Unlike Signs
  624.    wt: 1:   1 More and Less Than for Counts and Measures
  625.    wt: 1:   2 Square Roots with Prime
  626.    wt: 1:   1 Squares and Square Roots Introduction
  627.    wt: 1:   13 GCD from given Prime Factorization
  628.    wt: 1:   7 GCD and LCM from prime factorization
  629.    wt: 1:   5 Common Divisors 60 45 via Prime
  630.    wt: 1:   2 Counting with Tables and Trees I
  631.    wt: 1:   1 Counting and Counting Methods I
  632.    wt: 1:   3 signed coordinates for maps and planes
  633.    wt: 1:   2 signed and unsigned numbers as coordinates
  634.    wt: 1:   7 Converting or Changing Units
  635.    wt: 1:   4 Fractions with Units
  636.    wt: 1:   2 Equality and Units
  637.    wt: 1:   D Three Term Ratios
  638.    wt: 1:   B Fractions and Two Term Ratios
  639.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  640.    wt: 1:   21 Working With Signs
  641.    wt: 1:   19 Dividing Fractions How TO
  642.    wt: 1:   9 Improper Fractions and Mixed Numbers
  643.    wt: 1:   8 Numerals Fractionals Quantals Take II
  644.    wt: 1:   7 Numerals Fractionals Quantals
  645.    wt: 1:   6 Multiplication of Mixed Numbers
  646.    wt: 1:   5 Equivalent Fractions
  647.    wt: 1:   1 What is a fraction Take II
  648.    wt: 1:   1 What is a fraction
  649.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  650.    wt: 1:   13 Subtraction with Additive Inverse
  651.    wt: 1:   12 Adding Integers More Examples
  652.    wt: 1:   11 Adding Integers Formulas and Examples
  653.    wt: 1:   8 Multiplication by Signed Numbers Integers
  654.    wt: 1:   7 Multiplication by Signs
  655.    wt: 1:   6 Multiplication by Natural Numbers
  656.    wt: 1:   4 Adding Movements wiht opposite directions
  657.    wt: 1:   3 Adding Movements with same direction
  658.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  659.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  660.    wt: 1:   21 Remainder Arithmetic Modulo 3
  661.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  662.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  663.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  664.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  665.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  666.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  667.    wt: 1:   19 video Prime Factorization Unique
  668.    wt: 1:   18 video Count Factors given Prime Factorization
  669.    wt: 1:   14 video Factors of 24 Take II
  670.    wt: 1:   13 video Factors of 24 using prime
  671.    wt: 1:   12 LCD GCD and LCM using Primes
  672.    wt: 1:   9 video Prime Factorization upto 19 squared
  673.    wt: 1:   8 video Prime Factorization upto 19
  674.    wt: 1:   7 Calculator Usage Notes and Cautions
  675.    wt: 1:   5 Prime Factorization and a Square Rule
  676.    wt: 1:   2 Prime and Composites less than 16
  677.    wt: 1:   Division with Counts and Length
  678.    wt: 1:   3 Division Single Digit Divisor Example
  679.    wt: 1:   1 Divsion Physical Examples
  680.    wt: 1:   6 Multiplication Commutes Order Not Important
  681.    wt: 1:   4 Two and Three Digit Multipliers
  682.    wt: 1:   3 More One Digit Multipliers
  683.    wt: 1:   8 Subtraction with Units of Measure
  684.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  685.    wt: 1:   8 What skills and work habits to require
  686.    wt: 1:   5. How to add decimals C. Examples
  687.    wt: 1:   1. Explaining Addition Table
  688.    wt: 1:   11 Place Value SI Standard International way
  689.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  690.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  691.    wt: 1:   Quick history of numbers and algebra
  692.    wt: 1:   Exact Arithmetic Wholes and Fractions
  693.    wt: 1:   The 20 Times Table
  694.    wt: 1:   The 12 Times Table Visually
  695.    wt: 1:   About folder contents
  696.    wt: 1:   011 Division of Time Intervals By Numbers
  697.    wt: 1:   010 Repeated Addition of Time Intervals
  698.    wt: 1:   8 Addition of Time Intervals via subtotaling
  699.    wt: 1:   7 Addition of Time Intervals
  700.    wt: 1:   2 Time and Date Matters in School
  701.    wt: 1:   1 Intro of Kids To Time Date Skills
  702.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  703.    wt: 1:   Example 4 with x function of y
  704.    wt: 1:   Example 2
  705.    wt: 1:   Area Between Curves Lesson Take 1
  706.    wt: 1:   4 Definite Integrals Evaluation Exercises
  707.    wt: 1:   2 Indefinite Integrals Exercises
  708.    wt: 1:   1 Chain Rule in Reverse Integration Method
  709.    wt: 1:   A Related lessons in Volume 3
  710.    wt: 1:   4 Second derivative test exercise example
  711.    wt: 1:   3 Second derivative test
  712.    wt: 1:   31 Derivatives of inverse functions
  713.    wt: 1:   24 Chain Rule Animated Examples
  714.    wt: 1:   23 Chain Rule in general
  715.    wt: 1:   18 Chain Rule Introduction
  716.    wt: 1:   14 sine and cosine derivatives 2nd step
  717.    wt: 1:   12 Quotient rule examples
  718.    wt: 1:   10 Power rule for negative integers
  719.    wt: 1:   8 Differentiation of polynomials
  720.    wt: 1:   7 Animated Differentiation Examples
  721.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  722.    wt: 1:   11 Limits at infinity Three Examples
  723.    wt: 1:   6 Continuity at a point
  724.    wt: 1:   5 Jumps and absence of unlimited error control
  725.    wt: 1:   1 Numerical introduction
  726.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  727.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  728.    wt: 1:   G.5 Motions With Bounded Velocities
  729.    wt: 1:   G.3 Constant Difference Theorem Proof
  730.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  731.    wt: 1:   F.5a Equicontinuity Theorems
  732.    wt: 1:   F.2 Closed Range Theorem
  733.    wt: 1:   E1 Error Control Inequalities
  734.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  735.    wt: 1:   A1. Introduction
  736.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  737.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  738.    wt: 1:   Chapter 18. Slopes Areas Integration
  739.    wt: 1:   Chapter 17. Area Approximation
  740.    wt: 1:   Chapter 16. Velocity Approximation
  741.    wt: 1:   Chapter 15. Slope Approximation
  742.    wt: 1:   Chapter 13. Acceleration
  743.    wt: 1:   Chapter 12. Units and Slopes
  744.    wt: 1:   Chapter 11. Graphing Slope versus Position
  745.    wt: 1:   Chapter 8. Slope Interpretation
  746.    wt: 1:   Chapter 2. Slopes and Ski Trails
  747.    wt: 1:   Chapter 1.Introduction
  748.    wt: 1:   Foreword
  749.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  750.    wt: 1:   Chapter 31 Direct and Indirect Reason
  751.    wt: 1:   Chapter 28 Occurrence Tables
  752.    wt: 1:   Chapter 21. Third Reading Guide
  753.    wt: 1:   Chapter 20. Degrees and Radians
  754.    wt: 1:   Chapter 19. Functions and Sets
  755.    wt: 1:   Chapter 15. Solving Linear Equations
  756.    wt: 1:   Chapter 13. Second Reading Guide
  757.    wt: 1:   Chapter 12. Shorthand Usage Guide
  758.    wt: 1:   Chapter 10 Describing and Changing Calculations
  759.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  760.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  761.    wt: 1:   Chapter 3 Chains of Reason
  762.    wt: 1:   Foreword
  763.    wt: 1:   Postscript B Mathematics Education References
  764.    wt: 1:   Postscript A Three Remarks
  765.    wt: 1:   Chapter 12 Four Phases
  766.    wt: 1:   Chapter 11 Elementary Instruction
  767.    wt: 1:   Chapter 10 Transition
  768.    wt: 1:   Chapter 8 Modern Instruction
  769.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  770.    wt: 1:   Chapter 3 Algebra Difficulties
  771.    wt: 1:   Chapter 1 Introduction
  772.    wt: 1:   Foreword
  773.    wt: 1:   Chapter 23 Truth Tables
  774.    wt: 1:   Chapter 21 Occurrence Tables
  775.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  776.    wt: 1:   Chapter 10 Responsibility
  777.    wt: 1:   Chapter 6 Chains of Reason
  778.    wt: 1:   Chapter 5 Deception
  779.    wt: 1:   Chapter 2 Skill Development
  780.    wt: 1:   Chapter 1 Introduction
  781.    wt: 1:   Three Remarks
  782.    wt: 1:   Foreword
  783.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  784.    wt: 1:   S Adding words to algebra
  785.    wt: 1:   R Why Learn Mathematics Skills
  786.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  787.    wt: 1:   O On Learning Mathematics and Science
  788.    wt: 1:   N Mathematics Prepare for College Studies
  789.    wt: 1:   L Skills with take home value
  790.    wt: 1:   N Improving Marks on Tests and Finals
  791.    wt: 1:   J. More on written work and showing skill
  792.    wt: 1:   I. Logic and language skills
  793.    wt: 1:   H more Routine to non routine problem solving
  794.    wt: 1:   D. Check work a must with a caution
  795.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  796.    wt: 1:   Chapter 6 More Algebra and Geometry
  797.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  798.    wt: 1:   Chapter 2 Why Sets
  799.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  800.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  801.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  802.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  803.    wt: 1:   Mathematics Education References
  804.    wt: 1:   Mathematics Education References
  805.    wt: 1:   Implementation Notes
  806.    wt: 1:   More Algebra and Slope based Calculus Preview
  807.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  808.    wt: 1:   Systematic Algebra Skill Development Missing Links
  809.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  810.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  811.    wt: 1:   Road Safety Questions

Extended Search

1103 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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