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

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

Extended Search

1103 matches:

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