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

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

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

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

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

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

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

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

Web Page Search

827 matches:

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

Extended Search

1103 matches:

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