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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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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79 matches:

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

Web Page Search

1038 matches:

  1.    wt: 9:   3 GE III Equation Addition and Multiplication
  2.    wt: 9:   2 Division with Single Digit Divisors
  3.    wt: 9:   G.4 Lipschitz Continuity implies EquiContinuity
  4.    wt: 8:   Rewriting algebraic substitution as function substitutions
  5.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  6.    wt: 8:   4 Similarity Definition with Coordinate
  7.    wt: 8:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  8.    wt: 8:   9 Division with Digits after Decimal Point
  9.    wt: 8:   7 Arithmetic with Infinite Decimal Expansions
  10.    wt: 8:   2 Counting Digits in Decimal Multiplication
  11.    wt: 8:   C Divisibility by 11 Integer Recognition Method
  12.    wt: 8:   9 Remainder Arithmetic Divisibility by 5
  13.    wt: 8:   3 Division Single Digit Divisor Example
  14.    wt: 8:   13 Limits with Parameters and Derivatives Take II
  15.    wt: 8:   10 Three one sided limits with infinite values
  16.    wt: 8:   G.6 Bounded Derivatives implies Lipshitz Continuity
  17.    wt: 7:   fairness and inductive principles for instruction
  18.    wt: 7:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  19.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take III
  20.    wt: 7:   6 Discipline Who is in Charge Conserving Authority
  21.    wt: 7:   5 Polynomials Long division Nonlinear divisor
  22.    wt: 7:   4 Polynomials Long division linear divisor
  23.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  24.    wt: 7:   13 Straight Lines Finding Equations from 2 points
  25.    wt: 7:   30 unit circle calculation of six trigonometric functions
  26.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  27.    wt: 7:   11 Triangle Similarity Missing Side Problem
  28.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  29.    wt: 7:   PS F Scalar Multiplication Distributes over Addition
  30.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  31.    wt: 7:   6 Infinite Decimals Ending in 9 repeating
  32.    wt: 7:   5 Fractions with Infinite Decimal Expansions
  33.    wt: 7:   3 Location of Point in Decimal Multiplication
  34.    wt: 7:   3 Multiplicative Counting Skills Principles
  35.    wt: 7:   6 Simplification of Fractions with Units
  36.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  37.    wt: 7:   Fraction Operations by Raising Terms A Simple Innovation
  38.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  39.    wt: 7:   11 Remainder Arithmetic Long Division by 5 Quickly more
  40.    wt: 7:   10 Remainder Arithmetic Long Division by 5 Quickly
  41.    wt: 7:   4 Division with 2 Digit Divsors
  42.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  43.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  44.    wt: 7:   012 Division of Time Intervals by Time Intervals
  45.    wt: 7:   3 Motivation for Limit Definition Take 2
  46.    wt: 7:   2 Motivation for Limit Definition Take 1
  47.    wt: 7:   3 Decimal insights for limits continuity convergence
  48.    wt: 7:   2 Identifying Size and Position Place and Spatial Sense
  49.    wt: 6:   J LAMP Introduction Extrinsic Origins
  50.    wt: 6:   chapitre 07 01 principle D induction mathematique
  51.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  52.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  53.    wt: 6:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  54.    wt: 6:   24 Monotoncity Injectivity and Inverse Functions
  55.    wt: 6:   17 Function maxima minima and their location
  56.    wt: 6:   3 Polynomials Multiplication Addition
  57.    wt: 6:   13 cosecant function Definition Graph and Inverse
  58.    wt: 6:   7 arcsin left inverse of sine Definition
  59.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  60.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  61.    wt: 6:   Straight Lines Instersection Solving Equations
  62.    wt: 6:   9 Similarity of Triangles Usual Criteria
  63.    wt: 6:   3 Similarity by Design with coordinates
  64.    wt: 6:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  65.    wt: 6:   15 Head to Tails in place Addition Associative
  66.    wt: 6:   11 Signed Number Addition and Addition Properties
  67.    wt: 6:   8 Division and Mulplication of Compound Fractions
  68.    wt: 6:   4 Location of Point in Decimal Addition
  69.    wt: 6:   1 Fractions with Finite Decimal Expansions
  70.    wt: 6:   2 Combing Counts Addition Skills and Principles
  71.    wt: 6:   2 Addition and Multiplication Axioms
  72.    wt: 6:   13 Naming Identifying Formulas with Words
  73.    wt: 6:   A Similarities between Fractions and Two Term Ratios
  74.    wt: 6:   11 Simplification an Algebraic View
  75.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  76.    wt: 6:   6 Multiplication Algebraically Take II
  77.    wt: 6:   B Integer Long Division Multiple Choices
  78.    wt: 6:   13 Subtraction with Additive Inverse
  79.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  80.    wt: 6:   4 video Prime Factorization Introduction
  81.    wt: 6:   12 Why Long Division Works Take III
  82.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  83.    wt: 6:   7 Adding decimal fractions using decimal point
  84.    wt: 6:   8 Addition of Time Intervals via subtotaling
  85.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  86.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  87.    wt: 6:   9 Limits Continuity and Composition
  88.    wt: 6:   G.2 Lipshitz Conditions Integration Calculus Reform
  89.    wt: 6:   Chapter 14 Limits and Continuity with and sans Decimals
  90.    wt: 6:   6 Measuring via counting or arithmetic the role of fractions
  91.    wt: 6:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  92.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
  93.    wt: 5:   7 logic review and decimals an odd combination
  94.    wt: 5:   chapitre 12 00 les iles et division
  95.    wt: 5:   chapitre 04 08 Limitations et benefices
  96.    wt: 5:   chapitre 04 05 Implication versus suggestion
  97.    wt: 5:   25 Mathematics Education Leaving A Good Impression
  98.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take IV
  99.    wt: 5:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  100.    wt: 5:   13 Addition and Addition Tables
  101.    wt: 5:   26 Function definitions done and coming
  102.    wt: 5:   14 Surjections Injections Bijections
  103.    wt: 5:   12 Function Domain Recognition Exercises
  104.    wt: 5:   7 Functions with finite domains
  105.    wt: 5:   1 Geometric Introduction of Function Notation
  106.    wt: 5:   16 cotangent function Definition Graph and Inverse
  107.    wt: 5:   15 cosecant function Definition Graph and Inverse
  108.    wt: 5:   14 secant function Definition Graph and Inverse
  109.    wt: 5:   3 Left Inverse of cosine arccos definition
  110.    wt: 5:   13 Velocity Vectors in Physics
  111.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  112.    wt: 5:   10 Straight Lines through Origin Equations More
  113.    wt: 5:   9 Straight Lines through Origin Equations
  114.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  115.    wt: 5:   31 basic secant cosecant cotangent trig identities
  116.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  117.    wt: 5:   11 tangent function undefined when terminal side vertical
  118.    wt: 5:   Right Triangle and Unit Circle Trigonometry
  119.    wt: 5:   7 Trignometric Ratios Unit Circle
  120.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  121.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  122.    wt: 5:   3 Trigonometric Ratios sine and cosine
  123.    wt: 5:   Right Triangle and Unit Circle Trigonometry
  124.    wt: 5:   7 Translations Rotations Reflections Dilatations
  125.    wt: 5:   6 Intersection of lines by solving linear systems
  126.    wt: 5:   1 Numerical view of lines and their equations
  127.    wt: 5:   PS G Rotation Distributes over Addition
  128.    wt: 5:   PS E Multiplication with Polar Coordinates
  129.    wt: 5:   PS D Addition with Cartesian Coordinates
  130.    wt: 5:   19 Right Triangle Similarity
  131.    wt: 5:   23 Distributive Law Two Derivations
  132.    wt: 5:   5 Proportionality in Equivalent Fractions
  133.    wt: 5:   4 Subtraction and Division Axioms
  134.    wt: 5:   3 Gaussian Elimination 3 unknowns first example
  135.    wt: 5:   9 Sets in Probability and Statistics
  136.    wt: 5:   13 GCD from given Prime Factorization
  137.    wt: 5:   1 Addition and Subtraction with Units
  138.    wt: 5:   16 Addition Subtraction Comparision Compared
  139.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  140.    wt: 5:   14 Adding and Subtracting with Like Denominators
  141.    wt: 5:   13 Fraction Comparison Algebraic View
  142.    wt: 5:   2 Unit Fraction Multiplication
  143.    wt: 5:   8 Multiplication by Signed Numbers Integers
  144.    wt: 5:   4 Adding Movements wiht opposite directions
  145.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  146.    wt: 5:   26 Divisibility by 2 3 5 Example
  147.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  148.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  149.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  150.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  151.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  152.    wt: 5:   19 video Prime Factorization Unique
  153.    wt: 5:   18 video Count Factors given Prime Factorization
  154.    wt: 5:   15 video Factors of 20 using Prime Factorization
  155.    wt: 5:   11 Another Single Digit Divisor Example
  156.    wt: 5:   9 Why Long Division Works Take II
  157.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  158.    wt: 5:   D Decimal Multiplication Methods Derived
  159.    wt: 5:   5 Decimal Fraction Multiplication
  160.    wt: 5:   Video Power Notation in Decimal Expansion
  161.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  162.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  163.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  164.    wt: 5:   6. Counting and adding units and mixed units
  165.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  166.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  167.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  168.    wt: 5:   011 Division of Time Intervals By Numbers
  169.    wt: 5:   4 Mixing and Changing Units of Time
  170.    wt: 5:   4 Definite Integrals Evaluation Exercises
  171.    wt: 5:   2 Indefinite Integrals Exercises
  172.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  173.    wt: 5:   26 Chain Rule Recognising outer inner functions
  174.    wt: 5:   17 Derivatives of quotients of sine and cosine
  175.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  176.    wt: 5:   13 sine and cosine derivatives 1st step
  177.    wt: 5:   11 Limits at infinity Three Examples
  178.    wt: 5:   7 Evaluation by immediate or delayed substitution
  179.    wt: 5:   Postscript One Sided and Intermediate Value Theorems
  180.    wt: 5:   B1 Pigeon Hole Principles from combinatorics
  181.    wt: 5:   Chapter 29 Contrapositive and Vacuously True Implications
  182.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  183.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  184.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  185.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  186.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  187.    wt: 5:   7 Games and Activities for Instruction
  188.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  189.    wt: 5:   1 From Number Recognition and Counting to Arithmetic B
  190.    wt: 5:   1 From Number Recognition and Counting to Arithmetic A
  191.    wt: 5:   Helping the Blind in Logic and Mathematics
  192.    wt: 5:   Systematic Algebra Skill Development Missing Links
  193.    wt: 5:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  194.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  195.    wt: 5:   Talking pdf files for online lessons a webvideo alternative
  196.    wt: 4:   Appendix 2 primary school Arithmetic 01
  197.    wt: 4:   I LAMP Introduction Study Habits
  198.    wt: 4:   H LAMP Introduction Instructional Concepts
  199.    wt: 4:   G LAMP Introduction Problem Solving Skills
  200.    wt: 4:   F LAMP Introduction Prerequisites
  201.    wt: 4:   9 combinatorics probability sets
  202.    wt: 4:   2 arithmetic with signed numbers
  203.    wt: 4:   1 arithmetic with unsigned numbers
  204.    wt: 4:   Math Ed if it must be short make it lean effective
  205.    wt: 4:   grouping students according to ability
  206.    wt: 4:   Education Reform Inconsistencies
  207.    wt: 4:   geometric implications for algebra
  208.    wt: 4:   Lessening Algebra Difficulties
  209.    wt: 4:   Operational Viewpoint to Value
  210.    wt: 4:   mathematics instruction in general
  211.    wt: 4:   Education in mathematics science and technology
  212.    wt: 4:   Different Kinds of Reasoning in maths
  213.    wt: 4:   cultivating intelligence
  214.    wt: 4:   chapitre 04 00 Les regles d implication
  215.    wt: 4:   chapitre 02 00 La Communication des idees
  216.    wt: 4:   deux definitions pour variable
  217.    wt: 4:   B Wire Resistance Qualitative02
  218.    wt: 4:   A Wire Resistance Qualitative01
  219.    wt: 4:   1 Like resistors in series
  220.    wt: 4:   F Unlike Resistors in Series
  221.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  222.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  223.    wt: 4:   14 Multiplication and Times Tables
  224.    wt: 4:   2 Reading and Writing Skills
  225.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  226.    wt: 4:   sign monoticity analysis example 4
  227.    wt: 4:   sign monoticity analysis example 3
  228.    wt: 4:   sign monoticity analysis example 2
  229.    wt: 4:   sign monoticity analysis example 1
  230.    wt: 4:   25 Absolute Value greatest integer and saw tooth functions
  231.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  232.    wt: 4:   20 Interchanging coordinates a reflection
  233.    wt: 4:   16 Increasing or decreasing on intervals
  234.    wt: 4:   9 Set theory term relation possible origins
  235.    wt: 4:   5 Function notation for geometric transformations
  236.    wt: 4:   4 Function notation in and beyond mathematics
  237.    wt: 4:   Introduction Reading Guide
  238.    wt: 4:   3 quadratics factoring by inspection
  239.    wt: 4:   7 Formulas for Roots with Logarithms Derivation
  240.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  241.    wt: 4:   2 Square Root Simplification a prequel
  242.    wt: 4:   6 Polynomial Operations and Equivalent Computation Rules
  243.    wt: 4:   1 Polynomials Distributive Law
  244.    wt: 4:   10 arctan left inverse of tangent Definition
  245.    wt: 4:   5 Swapping Coordinates is a reflection
  246.    wt: 4:   7 Radian Measures in special Triangles
  247.    wt: 4:   3 Navigation with Arrows or Vectors
  248.    wt: 4:   Straight Lines ASA Intersection Study More
  249.    wt: 4:   Straight Lines ASA Intersection Study
  250.    wt: 4:   Straight Lines Intersection of
  251.    wt: 4:   B Straight Line Slope Scaling Properties More
  252.    wt: 4:   A Straight Line Slope Scaling Properties
  253.    wt: 4:   8 Straight Lines Equation for vertical
  254.    wt: 4:   7 Tangent Function is odd on this domain
  255.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  256.    wt: 4:   27 Logarithmic use of products of sines and cosines
  257.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  258.    wt: 4:   17A The complex number valued trig function cis
  259.    wt: 4:   1 Unit Points Reflections Rotations
  260.    wt: 4:   16 References and Originality Question
  261.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  262.    wt: 4:   9 The complex number valued trig function cis
  263.    wt: 4:   4 Multiplication Properties
  264.    wt: 4:   13 Navigation Location from Angles to 2 Landmarks
  265.    wt: 4:   12 Triangles Similarity More Problems
  266.    wt: 4:   8 Similarity of Triangles and Polygons
  267.    wt: 4:   5 Similarity of Circles Squares and Rectangles
  268.    wt: 4:   2 Similarity By Design
  269.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  270.    wt: 4:   6 Polar Multiplication and Rotation
  271.    wt: 4:   5 Cartesian Addition and Translation
  272.    wt: 4:   2 Cartesian Coordinates with signs
  273.    wt: 4:   18 Triangle Similarity Take 1
  274.    wt: 4:   17 Right Bisectors of Triangle Sides
  275.    wt: 4:   6 Figuring with Maps Not to Scale
  276.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  277.    wt: 4:   A Signed Number Arithmetic Review
  278.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  279.    wt: 4:   22 Multiplication of Signed Numbers
  280.    wt: 4:   21 Addition of Multiples of a Single Vector
  281.    wt: 4:   8 Column Multiplication Methods in General
  282.    wt: 4:   7 Decimals Multiplication Methods Examples
  283.    wt: 4:   6 Column Methods for Decimal Multiplication
  284.    wt: 4:   4 Fraction Operations Axiomatic Development
  285.    wt: 4:   3 Inequalities Algebraically
  286.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  287.    wt: 4:   4 Rates Ratios and Proporitionality
  288.    wt: 4:   3 Linear Equation Literal Solution More
  289.    wt: 4:   2 Linear Equation Literal Solution
  290.    wt: 4:   6 Equations and Systems Equivalent or Implied
  291.    wt: 4:   12 Real Number Additive Inverses or Negatives
  292.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  293.    wt: 4:   4 GE III Animated Examples
  294.    wt: 4:   2 Essentially one exercises three with solution
  295.    wt: 4:   5 Algebraic Solutions Introduction
  296.    wt: 4:   Using Letters for Physical Quantities
  297.    wt: 4:   1 Written work formats for developing and showing skill
  298.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  299.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  300.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  301.    wt: 4:   5 Common Divisors 60 45 via Prime
  302.    wt: 4:   2 Least Common Multiple LCM intro via list method
  303.    wt: 4:   5 Counting with Tables Trees Product Rule Take II
  304.    wt: 4:   3 Counting with Tables and Trees II
  305.    wt: 4:   10 dividing signed numbers
  306.    wt: 4:   7 negative and additive inverse
  307.    wt: 4:   4 signed coordinates for regions in space
  308.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  309.    wt: 4:   20 Dividing Fractions the Why
  310.    wt: 4:   19 Dividing Fractions How TO
  311.    wt: 4:   6 Multiplication of Mixed Numbers
  312.    wt: 4:   4 Fraction Multiplication
  313.    wt: 4:   1 What is a fraction Take II
  314.    wt: 4:   10 Integer Multiplication Formulas
  315.    wt: 4:   7 Multiplication by Signs
  316.    wt: 4:   3 Adding Movements with same direction
  317.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  318.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  319.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  320.    wt: 4:   7 Remainder Arithmetic Modulo 5 Examples I
  321.    wt: 4:   6 Remainder Arithmetic Modulo 5 Propertie
  322.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  323.    wt: 4:   3 Remainder Arithmetic Modulos 10 more still
  324.    wt: 4:   20 Uniqueness of Prime Factorization
  325.    wt: 4:   17 Identify and Count Factors using Primes
  326.    wt: 4:   13 video Factors of 24 using prime
  327.    wt: 4:   10 video Prime Factorization upto 23 squared
  328.    wt: 4:   9 video Prime Factorization upto 19 squared
  329.    wt: 4:   8 video Prime Factorization upto 19
  330.    wt: 4:   3 video Primes and Composites from 9 times table
  331.    wt: 4:   Division with Counts and Length
  332.    wt: 4:   10 Division by Five Long and Short Ways
  333.    wt: 4:   7 Long Divison Mistake Catching
  334.    wt: 4:   5 Long Division Include Zeroes or not
  335.    wt: 4:   A Elementary Basis for Multiplication Methods
  336.    wt: 4:   6 Multiplication Commutes Order Not Important
  337.    wt: 4:   4 Two and Three Digit Multipliers
  338.    wt: 4:   3 More One Digit Multipliers
  339.    wt: 4:   2 One Digit Multipliers
  340.    wt: 4:   9 22 Minute Subtraction Review Video
  341.    wt: 4:   4. How to add with decimals B with conversions
  342.    wt: 4:   1. Explaining Addition Table
  343.    wt: 4:   11 Place Value SI Standard International way
  344.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  345.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  346.    wt: 4:   4 Groups of 3 Place Value in Decimal Fractions
  347.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  348.    wt: 4:   1 Place Value in Three Digit Whole Numbers
  349.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  350.    wt: 4:   010 Repeated Addition of Time Intervals
  351.    wt: 4:   9 Comparison and Subtraction of Time Intervals
  352.    wt: 4:   7 Addition of Time Intervals
  353.    wt: 4:   1 Intro of Kids To Time Date Skills
  354.    wt: 4:   1 Chain Rule in Reverse Integration Method
  355.    wt: 4:   34 Derivative of exponential function
  356.    wt: 4:   31 Derivatives of inverse functions
  357.    wt: 4:   15 sine and cosine derivatives 3rd step
  358.    wt: 4:   14 sine and cosine derivatives 2nd step
  359.    wt: 4:   8 Differentiation of polynomials
  360.    wt: 4:   7 Animated Differentiation Examples
  361.    wt: 4:   2 Algebraic codification
  362.    wt: 4:   G.5 Motions With Bounded Velocities
  363.    wt: 4:   G.2 Differentiable Functions Mean Value Theorem
  364.    wt: 4:   E2 Algebraic Properties of Limits
  365.    wt: 4:   C Triangle Inequalities
  366.    wt: 4:   PostScript For and Against Decimal Perspectives
  367.    wt: 4:   Chapter 15. Algebraic Evaluation of Limits
  368.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  369.    wt: 4:   Postscript Unifying Theme A Fourth Skill For Algebra
  370.    wt: 4:   Chapter 10 Describing and Changing Calculations
  371.    wt: 4:   Solutions For Arithmetic Exercises
  372.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  373.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  374.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  375.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  376.    wt: 4:   G. Written work formats for developing and showing skill
  377.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  378.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  379.    wt: 4:   Multiple Ways to Improve Mathematics Skill Development
  380.    wt: 4:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  381.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  382.    wt: 4:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  383.    wt: 3:   Appendix 1 primary and preschool mathematic
  384.    wt: 3:   K LAMP Musings Science Education
  385.    wt: 3:   E LAMP Introduction Modern Mathematics
  386.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  387.    wt: 3:   A Introduction Objectives
  388.    wt: 3:   Ramblings Extrinsic numbers theory
  389.    wt: 3:   Ramblings Introduction Algebra Essay
  390.    wt: 3:   Skills Chapter 1 Arithmetic
  391.    wt: 3:   Skills Chapter 0 Introduction
  392.    wt: 3:   activities for students
  393.    wt: 3:   links Education Resources online
  394.    wt: 3:   site origins
  395.    wt: 3:   teacher certification
  396.    wt: 3:   Maps Plans Drawings
  397.    wt: 3:   three difficulties
  398.    wt: 3:   mathematics curriculum shifts
  399.    wt: 3:   teaching tutoring algebraic reason
  400.    wt: 3:   three kinds of reason in mathematics
  401.    wt: 3:   need for a mixed mathematics curriculum
  402.    wt: 3:   education an empirical art
  403.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  404.    wt: 3:   chapitre 06 00 Chaines de la raison
  405.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  406.    wt: 3:   chapitre 04 02 Deuxieme enigme
  407.    wt: 3:   chapitre 04 01 Premiere enigme
  408.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  409.    wt: 3:   chapitre 01 00 Introduction
  410.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  411.    wt: 3:   Trois Notions qui menent a algebre
  412.    wt: 3:   F Wire Resistance Calculation04
  413.    wt: 3:   E Wire Resistance Calculation03
  414.    wt: 3:   D Wire Resistance Calculation02
  415.    wt: 3:   C Wire Resistance Calculation01
  416.    wt: 3:   3 Like resistors in parallel
  417.    wt: 3:   2 Unlike resistors in parallel01
  418.    wt: 3:   H Series Circuit02
  419.    wt: 3:   G Series Circuit01
  420.    wt: 3:   24 Standards For Skill Develoment Take II
  421.    wt: 3:   10 Ends values for work study instruction
  422.    wt: 3:   3 Preparing for Science Studies
  423.    wt: 3:   Ages 12 to 14 Skills with take home value
  424.    wt: 3:   15 Sign analysis of functions
  425.    wt: 3:   8 Set view of relations and functions
  426.    wt: 3:   6 Set Existence Formation and Notation
  427.    wt: 3:   3 Formula or function graphing exercise
  428.    wt: 3:   2 Algebraic use of function notation
  429.    wt: 3:   7 quadratic formulla derivation
  430.    wt: 3:   2 quadratics graphing in general
  431.    wt: 3:   1 quadratics graphing exercises
  432.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  433.    wt: 3:   2 Column Multiplication Method
  434.    wt: 3:   9 motivation for name arcsin
  435.    wt: 3:   8 arcsin left inverse of sine Graph
  436.    wt: 3:   4 possible motivation for term arccos
  437.    wt: 3:   2 cosine function more properties
  438.    wt: 3:   1 cosine function properties
  439.    wt: 3:   2 Radian Measure Numerical Value of one degree
  440.    wt: 3:   1 Degrees and Radians Introduction
  441.    wt: 3:   A Global Time and Navigation
  442.    wt: 3:   9 Head to Tail Coordinate View
  443.    wt: 3:   6 Vectors with Coordinates
  444.    wt: 3:   5 Head To Tail Arrow Addition
  445.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  446.    wt: 3:   Proportionality of Line Segments From Parallel Transversals
  447.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  448.    wt: 3:   Parallel Lines and Interior Angles
  449.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  450.    wt: 3:   C Straight Lines Slope from Coordinates
  451.    wt: 3:   14 Straight Lines Equations General Case
  452.    wt: 3:   12 Straight Lines Graphing mx plus b
  453.    wt: 3:   11 Straight Lines Graphing y=mx
  454.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  455.    wt: 3:   28 Expressing products of sines cosines as sums
  456.    wt: 3:   18 sum of sinusoidal waves as a single wave
  457.    wt: 3:   17D cis formulas for sine cosines and tangent
  458.    wt: 3:   17C sine and cosine double triple angle formulas
  459.    wt: 3:   16 Right Triangle Complementary Angle Relations
  460.    wt: 3:   15 sine cosine Complementary Angle Relations
  461.    wt: 3:   13 Graph of tangent function many periods
  462.    wt: 3:   10 Graphs of sines and cosines many periods
  463.    wt: 3:   9 Graphs of sine and cosine over one period
  464.    wt: 3:   7 period of sine and cosine
  465.    wt: 3:   Unit Circle Development of Trigonometry
  466.    wt: 3:   12 cis formulas for sine cosines and tangent
  467.    wt: 3:   11 sine and cosine double triple angle formulas
  468.    wt: 3:   8 Unit Circle Development of Trigonometry
  469.    wt: 3:   5 An Easy Proof of the Distributive Law
  470.    wt: 3:   3 Addition Properties
  471.    wt: 3:   6 Geometric Diagrams in Class
  472.    wt: 3:   1 Early Concept of Like or Similar Shapes
  473.    wt: 3:   2 point slope equation for a line
  474.    wt: 3:   13 Pythagorean spatial distance formulas
  475.    wt: 3:   11 Triangle Inequality
  476.    wt: 3:   8 Distance Between Points on a Line
  477.    wt: 3:   1 Cartesian Coordinates sans signs
  478.    wt: 3:   PS H Distributive Law For Complex Numbers
  479.    wt: 3:   13 Angle Side Angle Failure
  480.    wt: 3:   12 Side Angle Side Failure
  481.    wt: 3:   11 Triangle Construction Fails
  482.    wt: 3:   10 Dropping a perpendicular to line
  483.    wt: 3:   9 Construction of a right bisector
  484.    wt: 3:   4 Side Side Side
  485.    wt: 3:   1 Initial Concepts and Terms
  486.    wt: 3:   musings do not puiblish real numbers
  487.    wt: 3:   A Modular and Remainder Arithmetic
  488.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  489.    wt: 3:   19 Signed Multiples of Vectors
  490.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  491.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  492.    wt: 3:   13 Arrows and Vectors in a Plane
  493.    wt: 3:   12 Real Numbers Line Signed Coordinates
  494.    wt: 3:   E Long Division Methods more
  495.    wt: 3:   D Long Division Methods
  496.    wt: 3:   B Decimal Comparison and Subtraction
  497.    wt: 3:   A Decimal Addition Columm Methods
  498.    wt: 3:   5 Distributive Law for Whole Numbers
  499.    wt: 3:   1 The Counting Origins of Numbers
  500.    wt: 3:   2 Fraction Operations Physical Development
  501.    wt: 3:   1 What is Proportionality
  502.    wt: 3:   3 More and Less Than with Unlike Signs
  503.    wt: 3:   15 Real Number Division
  504.    wt: 3:   14 Real Number Multiplication
  505.    wt: 3:   9 Coordinates for Regions in Space
  506.    wt: 3:   3 Geometric Formulas and Function Notation
  507.    wt: 3:   2 GE II Comparison
  508.    wt: 3:   4 Solving a triangular system exercise
  509.    wt: 3:   4 Four Examples Fractional Coefficients
  510.    wt: 3:   7 Compound Interest Formula Introduction
  511.    wt: 3:   6 Three Notions of What is a Variable
  512.    wt: 3:   5 Talking about Numbers and Quantities
  513.    wt: 3:   3 Adding Words To Arithmetic
  514.    wt: 3:   arithmetic videos Real Player Format
  515.    wt: 3:   2 More and Less Than with Unlike Signs
  516.    wt: 3:   5 Square Roots with primes more still
  517.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  518.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  519.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  520.    wt: 3:   7 GCD and LCM from prime factorization
  521.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  522.    wt: 3:   1 Least Common Multiples LCM Introduction
  523.    wt: 3:   4 Counting with Trees Product Rule Take I
  524.    wt: 3:   2 Counting with Tables and Trees I
  525.    wt: 3:   1 Counting and Counting Methods I
  526.    wt: 3:   8 multiplying signed numbers
  527.    wt: 3:   3 signed coordinates for maps and planes
  528.    wt: 3:   2 signed and unsigned numbers as coordinates
  529.    wt: 3:   7 Converting or Changing Units
  530.    wt: 3:   4 Fractions with Units
  531.    wt: 3:   3 Multiplying Units and Numbers
  532.    wt: 3:   21 Working With Signs
  533.    wt: 3:   18 Efficient Ways to Multiply
  534.    wt: 3:   9 Improper Fractions and Mixed Numbers
  535.    wt: 3:   8 Numerals Fractionals Quantals Take II
  536.    wt: 3:   3 Unit fraction of a fraction
  537.    wt: 3:   A Associative Law Theorectical Note
  538.    wt: 3:   9 Multiplying Integers
  539.    wt: 3:   6 Multiplication by Natural Numbers
  540.    wt: 3:   5 Zero Movement and Additive Inverses
  541.    wt: 3:   23 Remainder Arithmetic Modulo 2
  542.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  543.    wt: 3:   21 Remainder Arithmetic Modulo 3
  544.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  545.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  546.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  547.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  548.    wt: 3:   5 Remainder Arithmetic Modulo 5
  549.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  550.    wt: 3:   1 Remainder Arithmetic Modulo 10
  551.    wt: 3:   16 video Factors of 980 using prime
  552.    wt: 3:   14 video Factors of 24 Take II
  553.    wt: 3:   5 Prime Factorization and a Square Rule
  554.    wt: 3:   Long Division Backwards more
  555.    wt: 3:   Long Division Backward
  556.    wt: 3:   Long Division forwards and backwards Example 3
  557.    wt: 3:   Long Division forwards and backwards Example 2
  558.    wt: 3:   Long Division forwards and backwards Example 1
  559.    wt: 3:   1 Divsion Physical Examples
  560.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  561.    wt: 3:   Subtraction with J Conversions Example
  562.    wt: 3:   8 Subtraction with Units of Measure
  563.    wt: 3:   5 A Tip for Efficent Subtraction
  564.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  565.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  566.    wt: 3:   8 What skills and work habits to require
  567.    wt: 3:   3. How to add with decimals A sans conversions
  568.    wt: 3:   2 Decimal Counting Practices
  569.    wt: 3:   Exact Arithmetic Wholes and Fractions
  570.    wt: 3:   6 How long is a million seconds
  571.    wt: 3:   5 Conversion Arithmetic
  572.    wt: 3:   4 Second derivative test exercise example
  573.    wt: 3:   36 Cube root derivative animated
  574.    wt: 3:   29 Chain Rule Optional Reading
  575.    wt: 3:   25 Chain Rule Animated Examples Continued
  576.    wt: 3:   19 Chain Rule for linear functions
  577.    wt: 3:   18 Chain Rule Introduction
  578.    wt: 3:   6 Continuity at a point
  579.    wt: 3:   1 Numerical introduction
  580.    wt: 3:   G.1 Differentiable Functions Rolles Theorem
  581.    wt: 3:   F.5a Equicontinuity Theorems
  582.    wt: 3:   F.4 Finite Covering Theorem
  583.    wt: 3:   F.3 Intermediate Value Theorem
  584.    wt: 3:   E1 Error Control Inequalities
  585.    wt: 3:   Chapter 16. Velocity Approximation
  586.    wt: 3:   Chapter 11. Graphing Slope versus Position
  587.    wt: 3:   Chapter 31 Direct and Indirect Reason
  588.    wt: 3:   Chapter 25. Mathematical Induction Examples
  589.    wt: 3:   Chapter 21. Third Reading Guide
  590.    wt: 3:   Chapter 15. Solving Linear Equations
  591.    wt: 3:   Chapter 13. Second Reading Guide
  592.    wt: 3:   Postscript What is a Variable
  593.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  594.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  595.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  596.    wt: 3:   Postscript B Mathematics Education References
  597.    wt: 3:   Chapter 3 Algebra Difficulties
  598.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  599.    wt: 3:   Chapter 24 Direct and Indirect Reason
  600.    wt: 3:   Chapter 17 Objective Ways Trial and Error Discovery
  601.    wt: 3:   Chapter 10 Responsibility
  602.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  603.    wt: 3:   O On Learning Mathematics and Science
  604.    wt: 3:   L Skills with take home value
  605.    wt: 3:   N Improving Marks on Tests and Finals
  606.    wt: 3:   J. More on written work and showing skill
  607.    wt: 3:   I. Logic and language skills
  608.    wt: 3:   H more Routine to non routine problem solving
  609.    wt: 3:   How to Build Skills and Confidence
  610.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  611.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  612.    wt: 2:   Skills Chapter 4 Logic
  613.    wt: 2:   10 statistics
  614.    wt: 2:   5 logarithms and exponentials etc
  615.    wt: 2:   website reviews
  616.    wt: 2:   permissions for teachers
  617.    wt: 2:   Applied Maths Program14092009 POMME variant
  618.    wt: 2:   About site lesson plans
  619.    wt: 2:   Mathematics Education Professors
  620.    wt: 2:   learning takes time
  621.    wt: 2:   mathematics in context
  622.    wt: 2:   five decades make a difference
  623.    wt: 2:   teaching tips
  624.    wt: 2:   three goals for Mathematics Education
  625.    wt: 2:   05 13 OldSiteEntrancePage
  626.    wt: 2:   04 29 New Mathematics Curriculum
  627.    wt: 2:   02 20 mathematics education references
  628.    wt: 2:   three aims for mathematics students
  629.    wt: 2:   formal or informal peer review
  630.    wt: 2:   Four ways to improve education reform
  631.    wt: 2:   Motivation and Context Problem
  632.    wt: 2:   Leaner mathematics curriculum
  633.    wt: 2:   Prequel In For A Penny In For A Pound
  634.    wt: 2:   words for mathematics instructor
  635.    wt: 2:   chapitre 05 00 Deception
  636.    wt: 2:   chapitre 04 09 Regles accidentelles
  637.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  638.    wt: 2:   chapitre 04 04 Parlons de la logique
  639.    wt: 2:   problemes algebre et arithmetique
  640.    wt: 2:   logique deux enigme
  641.    wt: 2:   2 Conductance Resistance Duality02
  642.    wt: 2:   1 Conductance Resistance Duality01
  643.    wt: 2:   D Kirchoff First Law
  644.    wt: 2:   C Electromotive force conventional current02
  645.    wt: 2:   B Electromotive force conventional current01
  646.    wt: 2:   A Circuit Elements
  647.    wt: 2:   Home Tutoring and Home Schooling
  648.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  649.    wt: 2:   22 Student Centered Highschool Mathematics
  650.    wt: 2:   18 Primary School Mathematics
  651.    wt: 2:   16 Secondary Mathematics Tips
  652.    wt: 2:   12 Goals and Objectives For Mathematics
  653.    wt: 2:   11 Help and Defend Your Child or Teens Education
  654.    wt: 2:   9 Streaming by Student Cooperation
  655.    wt: 2:   7 Student Motivation
  656.    wt: 2:   4 Learning Takes Time and Effort
  657.    wt: 2:   1 Speaking Skills
  658.    wt: 2:   Ages 12 to 14 Arithmetic
  659.    wt: 2:   Ages 10 to 12 Arithmetic
  660.    wt: 2:   23 Inverse Functions
  661.    wt: 2:   22 Square Root function graphically
  662.    wt: 2:   19 Horizontal line rule and method
  663.    wt: 2:   18 Vertical Line Rule and Method
  664.    wt: 2:   11 Function Domain Range Source and Targets
  665.    wt: 2:   10 Interval Notation
  666.    wt: 2:   10 quadratic exercises
  667.    wt: 2:   9 quadratics physical and further context
  668.    wt: 2:   8 quadratics backward use of various formulas
  669.    wt: 2:   6 quadratics numerical approach
  670.    wt: 2:   5 quadratics completing the square
  671.    wt: 2:   4 quadratics difference of two squares
  672.    wt: 2:   Quadratics in 10 steps
  673.    wt: 2:   11 Growth and Decay in Biology
  674.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  675.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  676.    wt: 2:   5 Natural Logarithm Calculator Exercises
  677.    wt: 2:   12 motivation for term arctan
  678.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  679.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  680.    wt: 2:   12 From Applied To Pure Mathematics
  681.    wt: 2:   10 Parallelogram Addition Method
  682.    wt: 2:   2 Signed Coordinates
  683.    wt: 2:   1 Unsigned Coordinates
  684.    wt: 2:   4 graphing y=Asin(x c)
  685.    wt: 2:   4 Tangent Function Properties
  686.    wt: 2:   1 Straight Lines Slope Concept
  687.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  688.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  689.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  690.    wt: 2:   26 Formulas for products of sines and cosines
  691.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  692.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  693.    wt: 2:   21 sine and cosine Half Angle Formulas
  694.    wt: 2:   20 sine and cosine Double Angle Formulas
  695.    wt: 2:   14 cosine even and sine and tangent are odd
  696.    wt: 2:   12 Graph of tangent function for one period
  697.    wt: 2:   8 period of tangent function
  698.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  699.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  700.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  701.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  702.    wt: 2:   21 Logarithms Powers and Exponentials
  703.    wt: 2:   18 Sixth Roots of Unity
  704.    wt: 2:   13 Trig Formulas for dot and cross Products
  705.    wt: 2:   6 Field Properties of Complex Number
  706.    wt: 2:   1 Rectangular Polar Coordinates Review
  707.    wt: 2:   8 Triangles Cascade Problem Solving
  708.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  709.    wt: 2:   Why Trigonometry the whyslopes view
  710.    wt: 2:   Four Simple Exercises
  711.    wt: 2:   10 Midpoint of [a b] and [b a]
  712.    wt: 2:   8 Mid Point Formula
  713.    wt: 2:   7 Exercises to test skill and concept mastery
  714.    wt: 2:   5 Algebraic View of Slopes
  715.    wt: 2:   4 Equations for lines three forms
  716.    wt: 2:   3 Slope product for perpendicular lines
  717.    wt: 2:   What is and is not here
  718.    wt: 2:   12 Spatial Coordinates
  719.    wt: 2:   3 Rectangular Coordinates Review
  720.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  721.    wt: 2:   PS A Kite Construction Methods
  722.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  723.    wt: 2:   8 Isoceles Triangles
  724.    wt: 2:   6 Ruler and compass Angle Bisection
  725.    wt: 2:   5 Side Angle Side
  726.    wt: 2:   3 Isometry of Triangles Congruence
  727.    wt: 2:   4 Angles on Maps Plans drawn to scale
  728.    wt: 2:   3 Lengths and Areas on Maps and Plans
  729.    wt: 2:   2 Measuring Area Directly
  730.    wt: 2:   C Three Decimal Subtraction Methods
  731.    wt: 2:   4 Commutative Law Groups Counting Form
  732.    wt: 2:   5 Areas of Rectangles Revisited
  733.    wt: 2:   3 Proportionality Examples
  734.    wt: 2:   2 Algebraic View
  735.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  736.    wt: 2:   1 Changing Calculations
  737.    wt: 2:   5 Equality in Algebra
  738.    wt: 2:   1 Equivalent Computation Rules
  739.    wt: 2:   5 Greater More Less Than Signs in General
  740.    wt: 2:   4 Comparison of Negative Numbers
  741.    wt: 2:   13 Real Number Subtraction
  742.    wt: 2:   11 Real Number Addition
  743.    wt: 2:   8 Coordinates for Maps and Planes
  744.    wt: 2:   7 Real Numbers as Line Cordinates
  745.    wt: 2:   5 Independent versus Dependent Variables
  746.    wt: 2:   2 Computation Rules Evaluation
  747.    wt: 2:   1 Formulas Dependence and Function Notation
  748.    wt: 2:   Simple Exercises
  749.    wt: 2:   1 GE Substitution four examples
  750.    wt: 2:   3 Solving triangular system example
  751.    wt: 2:   6 Algebraic Solution Example
  752.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  753.    wt: 2:   8 Compound Interest Formula Evaluation
  754.    wt: 2:   7 Cautious or Safe Set Construction
  755.    wt: 2:   5 Product Builder Notation
  756.    wt: 2:   4 Subset Builder Notation
  757.    wt: 2:   3 Counting with Sets etc
  758.    wt: 2:   1 Finite Sets
  759.    wt: 2:   2 What is a Variable
  760.    wt: 2:   4 Greater More Less Than Signs in General
  761.    wt: 2:   3 Comparison of Negative Numbers
  762.    wt: 2:   4 Square Roots with primes more
  763.    wt: 2:   3 Properties of Square Roots with example
  764.    wt: 2:   2 Square Roots with Prime
  765.    wt: 2:   1 Squares and Square Roots Introduction
  766.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  767.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  768.    wt: 2:   8 GCD from Euclidean Algorithm
  769.    wt: 2:   4 LCM of 8 and 10 via Prime
  770.    wt: 2:   12 GCD 2700 288 via Prime
  771.    wt: 2:   9 subtracting signed numbers
  772.    wt: 2:   6 adding signed numbers
  773.    wt: 2:   2 Equality and Units
  774.    wt: 2:   B Fractions and Two Term Ratios
  775.    wt: 2:   21 Reciprocals for Fractions and Wholes
  776.    wt: 2:   17 Efficient Ways to Add and Subtract
  777.    wt: 2:   12 Fraction Comparison
  778.    wt: 2:   5 Equivalent Fractions
  779.    wt: 2:   1 What is a fraction
  780.    wt: 2:   D Remainders Modulo 11 Pair Rule
  781.    wt: 2:   12 Adding Integers More Examples
  782.    wt: 2:   11 Adding Integers Formulas and Examples
  783.    wt: 2:   1 Integers as Coordinates
  784.    wt: 2:   12 LCD GCD and LCM using Primes
  785.    wt: 2:   11 Efficient Square Rule Use
  786.    wt: 2:   2 Prime and Composites less than 16
  787.    wt: 2:   1 video how Products are bigger than factor
  788.    wt: 2:   8 Correcting the Mistake
  789.    wt: 2:   C Counting Areas with Powers of Ten
  790.    wt: 2:   1 Why 3 times 5 gives 15
  791.    wt: 2:   Subtraction Another Video Lesson
  792.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  793.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  794.    wt: 2:   Quick history of numbers and algebra
  795.    wt: 2:   Expression Evaluation how to show work
  796.    wt: 2:   The 12 Times Table Visually
  797.    wt: 2:   016 Numbering Occidental Calendar Days
  798.    wt: 2:   014 Counting Days with Calendars
  799.    wt: 2:   013 Travel Time Tables
  800.    wt: 2:   3 Units and Lengths of Time
  801.    wt: 2:   2 Time and Date Matters in School
  802.    wt: 2:   Volume of Solid by Cross Sections Lesson
  803.    wt: 2:   Example 4 with x function of y
  804.    wt: 2:   A Related Material in Volume 3
  805.    wt: 2:   3 Two Chain Rule Method Exercises
  806.    wt: 2:   3 Second derivative test
  807.    wt: 2:   2 Second derivative test prequel
  808.    wt: 2:   A Chain Rule Real Player video examples
  809.    wt: 2:   38 Formulas and derivatives for powers and roots
  810.    wt: 2:   33 Chain Rule Real Player video examples
  811.    wt: 2:   28 Chain Rule Preparation for a Proof
  812.    wt: 2:   24 Chain Rule Animated Examples
  813.    wt: 2:   23 Chain Rule in general
  814.    wt: 2:   22 Chain Rule for polynomials
  815.    wt: 2:   10 Power rule for negative integers
  816.    wt: 2:   5 Jumps and absence of unlimited error control
  817.    wt: 2:   4 Numerical properties
  818.    wt: 2:   F.1 What Functions are Continuous
  819.    wt: 2:   D2 Limits of Monotone Sequences
  820.    wt: 2:   A1. Introduction
  821.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  822.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  823.    wt: 2:   Chapter 23 Links To Trigonometry
  824.    wt: 2:   Chapter 21 Arrow Addition
  825.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  826.    wt: 2:   Chapter 18. Slopes Areas Integration
  827.    wt: 2:   Chapter 17. Area Approximation
  828.    wt: 2:   Chapter 15. Slope Approximation
  829.    wt: 2:   Chapter 13. Acceleration
  830.    wt: 2:   Chapter 9 About First Courses in Calculus
  831.    wt: 2:   Chapter 8. Slope Interpretation
  832.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  833.    wt: 2:   Chapter 4. More Slope Sign Analysis
  834.    wt: 2:   Chapter 3. Slope Sign Analysis
  835.    wt: 2:   Chapter 2. Slopes and Ski Trails
  836.    wt: 2:   Chapter 1.Introduction
  837.    wt: 2:   Appendix E. How To Study Mathematics and Why
  838.    wt: 2:   Appendix D. What to do in School and Why
  839.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  840.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  841.    wt: 2:   Chapter 16. Painless Theorem Proving
  842.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  843.    wt: 2:   Annotated Links to Material Elsehwere
  844.    wt: 2:   Chapter 11 Elementary Instruction
  845.    wt: 2:   Chapter 10 Transition
  846.    wt: 2:   Chapter 8 Modern Instruction
  847.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  848.    wt: 2:   Chapter 2 For and Against Mathematics
  849.    wt: 2:   Chapter 1 Introduction
  850.    wt: 2:   Postscript C Consistency as a Tool for Reason
  851.    wt: 2:   Postscript B More on Story Telling and Reason
  852.    wt: 2:   Postscript A Story Telling
  853.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  854.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  855.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  856.    wt: 2:   Chapter 1 Introduction
  857.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  858.    wt: 2:   R Why Learn Mathematics Skills
  859.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  860.    wt: 2:   N Mathematics Prepare for College Studies
  861.    wt: 2:   M Words to extend arithmetic
  862.    wt: 2:   H Jigsaw puzzles and problem solving
  863.    wt: 2:   D. Check work a must with a caution
  864.    wt: 2:   C. Domino effect of being careful
  865.    wt: 2:   A. Skill has to be seen to believed
  866.    wt: 2:   Chapter 8 Skipped Topics and Why
  867.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  868.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  869.    wt: 2:   Chapter 1 Arithmetic
  870.    wt: 2:   Mathematics Education References
  871.    wt: 2:   Mathematics Education References
  872.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  873.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  874.    wt: 2:   Implementation Notes
  875.    wt: 2:   Site Reviews
  876.    wt: 1:   Skills Chapter 5 Calculus
  877.    wt: 1:   Skills Chapter 3 Algebra
  878.    wt: 1:   Skills Chapter 2 Geometry
  879.    wt: 1:   11 pure mathematics
  880.    wt: 1:   8 analytic geometry etc
  881.    wt: 1:   6 polynomials etc
  882.    wt: 1:   3 Euclidean Geometry Leanly
  883.    wt: 1:   What is POMME
  884.    wt: 1:   which way to go
  885.    wt: 1:   site eurekas
  886.    wt: 1:   modern education
  887.    wt: 1:   Postscript 2007 01 10
  888.    wt: 1:   Secondary Three Mathematics
  889.    wt: 1:   Secondary Two Mathematics
  890.    wt: 1:   Secondary One Mathematics
  891.    wt: 1:   the trouble with algebra
  892.    wt: 1:   standards for course material
  893.    wt: 1:   How to be a better instructor
  894.    wt: 1:   chapitre 04 06 engagements
  895.    wt: 1:   liens
  896.    wt: 1:   E Kirchoffs Second Law
  897.    wt: 1:   24 Standards For Skill Develoment
  898.    wt: 1:   17 Math Booklets for children and young teenagers
  899.    wt: 1:   15 Counting For Parents
  900.    wt: 1:   8 The Effect of Negative Remarks
  901.    wt: 1:   5 Patience Please for Yourself and Your Charges
  902.    wt: 1:   13 From one to one to many to one
  903.    wt: 1:   A Quadratics Summary
  904.    wt: 1:   10 Exponential Growth and Decay Models
  905.    wt: 1:   1 Calculator Starter Exercises
  906.    wt: 1:   8 Notes for instructors or tutors
  907.    wt: 1:   7 Links Lessons Elsewhere
  908.    wt: 1:   11 arctan left inverse of tangent Graph
  909.    wt: 1:   6 Graph of arccos function
  910.    wt: 1:   9 Summary Degrees to Radians and back
  911.    wt: 1:   8 Radian Measures of Common Angles
  912.    wt: 1:   6 Radian Measure to Degrees
  913.    wt: 1:   5 Degrees to Radian Measure
  914.    wt: 1:   8 Parallel Vectors
  915.    wt: 1:   3 graphing y=f(x c) plus K
  916.    wt: 1:   1 graphing y=f(x a)
  917.    wt: 1:   Parallel Lines and Parallel Transversals
  918.    wt: 1:   Triangle Angles Sum To 180 Degrees
  919.    wt: 1:   5 Tangent Function Graph
  920.    wt: 1:   17 tangent function angle sum formulas
  921.    wt: 1:   32 seven rows of pascals triangle
  922.    wt: 1:   25 tangent double angle formula Slope connection
  923.    wt: 1:   24 tangent Angle Difference Formula
  924.    wt: 1:   17F Law of cosines
  925.    wt: 1:   17E Trig Formulas for dot and cross Products
  926.    wt: 1:   2 Quadrant I reference Angles
  927.    wt: 1:   19 N th Roots of Unity
  928.    wt: 1:   17 Cube Roots of unity
  929.    wt: 1:   14 Law of cosines
  930.    wt: 1:   2 Complex Numbers made easier we hope
  931.    wt: 1:   Appetizer A Complex Number Applet
  932.    wt: 1:   1 Angle Measurement with Degrees
  933.    wt: 1:   12 Links Lessons elsewhere
  934.    wt: 1:   11 A Partial Summary
  935.    wt: 1:   10 Pythagorean plane distance formula
  936.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  937.    wt: 1:   7 Complex Numbers Appetizer
  938.    wt: 1:   4 Polar Coordinates to and from
  939.    wt: 1:   PS B Parallelogram Construction Methods
  940.    wt: 1:   16 Angles Subtended By Chords and Diameters
  941.    wt: 1:   14 Parallel Lines Postulate
  942.    wt: 1:   7 Angle Side Angle
  943.    wt: 1:   2 Correspondence between Triangles
  944.    wt: 1:   Short Course on Euclidean Geometry
  945.    wt: 1:   A Measurement with Ruler Proper Use
  946.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  947.    wt: 1:   26 More Less Greater Than Comparison
  948.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  949.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  950.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  951.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  952.    wt: 1:   6 Compound Interest Forward and Backwards
  953.    wt: 1:   5 Triangle Area Formula Backwards
  954.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  955.    wt: 1:   3 Product Axioms Two Forms
  956.    wt: 1:   1 Real Numbers Comparison
  957.    wt: 1:   16 Real Numbers Comparison
  958.    wt: 1:   10 Real Number Lengths and Signs
  959.    wt: 1:   6 Unsigned Real Numbers
  960.    wt: 1:   5 Rational Numbers More
  961.    wt: 1:   4 Rational Numbers
  962.    wt: 1:   3 Fractions
  963.    wt: 1:   2 Integers
  964.    wt: 1:   4 Changing Letters
  965.    wt: 1:   More Exercises
  966.    wt: 1:   1 Essentially One Unknown
  967.    wt: 1:   1 Proper Equal Sign Usage
  968.    wt: 1:   Skill Development Notes
  969.    wt: 1:   10 Volume of Pyramid
  970.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  971.    wt: 1:   4 Circle Area Formula Example
  972.    wt: 1:   3 Triangle Area Formula Example
  973.    wt: 1:   6 Power Set Notation
  974.    wt: 1:   2 Venn Diagrams
  975.    wt: 1:   4 A Brief Story of numbers and algebra
  976.    wt: 1:   1 Three Skills For Algebra
  977.    wt: 1:   6 GCD from Prime
  978.    wt: 1:   5 lengths and signs of numbers
  979.    wt: 1:   D Three Term Ratios
  980.    wt: 1:   22 Complex Compound Fractions
  981.    wt: 1:   7 Numerals Fractionals Quantals
  982.    wt: 1:   7 Calculator Usage Notes and Cautions
  983.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  984.    wt: 1:   2 Subtraction Easy Case Examples
  985.    wt: 1:   5. How to add decimals C. Examples
  986.    wt: 1:   Formula Evaluation how to show work
  987.    wt: 1:   The 20 Times Table
  988.    wt: 1:   015 School and work day counting tables
  989.    wt: 1:   Example 1 volume of a pyramid
  990.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  991.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  992.    wt: 1:   5 Area Under Curve Exercise
  993.    wt: 1:   A Related lessons in Volume 3
  994.    wt: 1:   30Chain Rule A Proof
  995.    wt: 1:   21 Chain Rule for powers
  996.    wt: 1:   20 Chain Rule for Pulley Systems
  997.    wt: 1:   12 Quotient rule examples
  998.    wt: 1:   11 Quotient rule
  999.    wt: 1:   9 Reciprocal rule
  1000.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  1001.    wt: 1:   8 Four Animated Examples
  1002.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  1003.    wt: 1:   G.3 Constant Difference Theorem Proof
  1004.    wt: 1:   F.5b Extreme Value Theorem
  1005.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1006.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  1007.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  1008.    wt: 1:   Chapter 12. Units and Slopes
  1009.    wt: 1:   Chapter 10 Slopes and Units
  1010.    wt: 1:   Chapter 7 Slopes and Velocity
  1011.    wt: 1:   Chapter 5. Slope Sign Tests
  1012.    wt: 1:   Fall 1983 Calculus Appetizer
  1013.    wt: 1:   Postscript More on Better Performance
  1014.    wt: 1:   Postscript For Better Performance
  1015.    wt: 1:   Appendix C. How to Read
  1016.    wt: 1:   Appendix B. How To Learn
  1017.    wt: 1:   Chapter 23. Notation For Sums
  1018.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  1019.    wt: 1:   Chapter 20. Degrees and Radians
  1020.    wt: 1:   Chapter 19. Functions and Sets
  1021.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1022.    wt: 1:   Chapter 12. Shorthand Usage Guide
  1023.    wt: 1:   Chapter 8 Three Skills For Algebra
  1024.    wt: 1:   Chapter 4 Longer Chains of Reason
  1025.    wt: 1:   Chapter 3 Chains of Reason
  1026.    wt: 1:   Postscript A Three Remarks
  1027.    wt: 1:   Chapter 15 Objective Processes
  1028.    wt: 1:   Chapter 11 Accidental Patterns
  1029.    wt: 1:   Chapter 7 Longer Chains of Reason
  1030.    wt: 1:   Chapter 6 Chains of Reason
  1031.    wt: 1:   Chapter 5 Deception
  1032.    wt: 1:   Chapter 2 Skill Development
  1033.    wt: 1:   S Adding words to algebra
  1034.    wt: 1:   B. Domino effect of errors
  1035.    wt: 1:   More Algebra and Slope based Calculus Preview
  1036.    wt: 1:   Which Way To Go
  1037.    wt: 1:   Road Safety Questions
  1038.    wt: 1:   The Math Forum and Site Content

Extended Search

1137 matches:

  1.    wt: 9:   J LAMP Introduction Extrinsic Origins
  2.    wt: 9:   9 combinatorics probability sets
  3.    wt: 9:   2 arithmetic with signed numbers
  4.    wt: 9:   1 arithmetic with unsigned numbers
  5.    wt: 9:   A Wire Resistance Qualitative01
  6.    wt: 9:   3 Polynomials Multiplication Addition
  7.    wt: 9:   4 Circle Sector Area proportional to Central Angle
  8.    wt: 9:   3 Circle Arclengh Proportional to Central Angle
  9.    wt: 9:   8 Parallel Vectors
  10.    wt: 9:   3 graphing y=f(x c) plus K
  11.    wt: 9:   1 graphing y=f(x a)
  12.    wt: 9:   5 Tangent Function Graph
  13.    wt: 9:   17 tangent function angle sum formulas
  14.    wt: 9:   25 tangent double angle formula Slope connection
  15.    wt: 9:   24 tangent Angle Difference Formula
  16.    wt: 9:   17F Law of cosines
  17.    wt: 9:   17E Trig Formulas for dot and cross Products
  18.    wt: 9:   2 Quadrant I reference Angles
  19.    wt: 9:   16 References and Originality Question
  20.    wt: 9:   10 sine cosine Angle Sum Formulas via cis
  21.    wt: 9:   9 The complex number valued trig function cis
  22.    wt: 9:   4 Multiplication Properties
  23.    wt: 9:   8 Triangles Cascade Problem Solving
  24.    wt: 9:   6 Trigonometry Sines of Supplementary Angles
  25.    wt: 9:   Why Trigonometry the whyslopes view
  26.    wt: 9:   2 point slope equation for a line
  27.    wt: 9:   12 Spatial Coordinates
  28.    wt: 9:   3 Rectangular Coordinates Review
  29.    wt: 9:   Euclidean Geometry Elsewhere LINKS
  30.    wt: 9:   PS A Kite Construction Methods
  31.    wt: 9:   15 Triangle Angle Sum is 180 degrees
  32.    wt: 9:   8 Isoceles Triangles
  33.    wt: 9:   6 Ruler and compass Angle Bisection
  34.    wt: 9:   5 Side Angle Side
  35.    wt: 9:   3 Isometry of Triangles Congruence
  36.    wt: 9:   4 Angles on Maps Plans drawn to scale
  37.    wt: 9:   3 Lengths and Areas on Maps and Plans
  38.    wt: 9:   2 Measuring Area Directly
  39.    wt: 9:   6 Infinite Decimals Ending in 9 repeating
  40.    wt: 9:   5 Fractions with Infinite Decimal Expansions
  41.    wt: 9:   3 Location of Point in Decimal Multiplication
  42.    wt: 9:   8 Column Multiplication Methods in General
  43.    wt: 9:   7 Decimals Multiplication Methods Examples
  44.    wt: 9:   6 Column Methods for Decimal Multiplication
  45.    wt: 9:   4 Subtraction and Division Axioms
  46.    wt: 9:   1 GE Substitution four examples
  47.    wt: 9:   5 Algebraic Solutions Introduction
  48.    wt: 9:   2 More and Less Than with Unlike Signs
  49.    wt: 9:   17 GCD LCM of 85 and 60 via Prime
  50.    wt: 9:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  51.    wt: 9:   14 GCD of 650 110 via Primes LCM via Product Rule
  52.    wt: 9:   11 GCD 2700 288 via Euclid Algorithm
  53.    wt: 9:   7 GCD and LCM from prime factorization
  54.    wt: 9:   LCM 60 45 Avoid List Method Use Prime
  55.    wt: 9:   1 Least Common Multiples LCM Introduction
  56.    wt: 9:   4 Counting with Trees Product Rule Take I
  57.    wt: 9:   2 Counting with Tables and Trees I
  58.    wt: 9:   1 Counting and Counting Methods I
  59.    wt: 9:   9 subtracting signed numbers
  60.    wt: 9:   6 adding signed numbers
  61.    wt: 9:   C Equality for Fractions and Two Term Ratios and Fractions
  62.    wt: 9:   20 Dividing Fractions the Why
  63.    wt: 9:   19 Dividing Fractions How TO
  64.    wt: 9:   6 Multiplication of Mixed Numbers
  65.    wt: 9:   4 Fraction Multiplication
  66.    wt: 9:   1 What is a fraction Take II
  67.    wt: 9:   8 Multiplication by Signed Numbers Integers
  68.    wt: 9:   4 Adding Movements wiht opposite directions
  69.    wt: 9:   12 LCD GCD and LCM using Primes
  70.    wt: 9:   11 Efficient Square Rule Use
  71.    wt: 9:   2 Prime and Composites less than 16
  72.    wt: 9:   11 Place Value SI Standard International way
  73.    wt: 9:   9 Place Value Review Decimal form of Avogrados number included
  74.    wt: 9:   5 More on Groups of 3 Place Value in Decimal Fractions
  75.    wt: 9:   4 Groups of 3 Place Value in Decimal Fractions
  76.    wt: 9:   3 More on Groups of 3 Multi Digit Place Value
  77.    wt: 9:   1 Place Value in Three Digit Whole Numbers
  78.    wt: 9:   011 Division of Time Intervals By Numbers
  79.    wt: 9:   4 Mixing and Changing Units of Time
  80.    wt: 9:   1 Two cubic sketching exercises with 1st derivative
  81.    wt: 9:   2 Algebraic codification
  82.    wt: 9:   G.6 Bounded Derivatives implies Lipshitz Continuity
  83.    wt: 9:   4 Money Matters Saving Earning Buying Selling and Budgets
  84.    wt: 8:   C LAMP Introduction Culture in Mathematics Education
  85.    wt: 8:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  86.    wt: 8:   B Wire Resistance Qualitative02
  87.    wt: 8:   1 Like resistors in series
  88.    wt: 8:   F Unlike Resistors in Series
  89.    wt: 8:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  90.    wt: 8:   Rewriting algebraic substitution as function substitutions
  91.    wt: 8:   9 Summary Degrees to Radians and back
  92.    wt: 8:   8 Radian Measures of Common Angles
  93.    wt: 8:   6 Radian Measure to Degrees
  94.    wt: 8:   5 Degrees to Radian Measure
  95.    wt: 8:   15 Dot and Cross Product
  96.    wt: 8:   11 Component Method
  97.    wt: 8:   4 Resultant of a Sum of Movements
  98.    wt: 8:   Vector and Complex Number Applet
  99.    wt: 8:   Parallel Lines and Parallel Transversals
  100.    wt: 8:   Triangle Angles Sum To 180 Degrees
  101.    wt: 8:   29 secant cosecant and cotangent for acute angles
  102.    wt: 8:   17G Pythagorean Theorem Converse
  103.    wt: 8:   13 Trig Formulas for dot and cross Products
  104.    wt: 8:   12 cis formulas for sine cosines and tangent
  105.    wt: 8:   11 sine and cosine double triple angle formulas
  106.    wt: 8:   8 Unit Circle Development of Trigonometry
  107.    wt: 8:   5 An Easy Proof of the Distributive Law
  108.    wt: 8:   3 Addition Properties
  109.    wt: 8:   1 Angle Measurement with Degrees
  110.    wt: 8:   Four Simple Exercises
  111.    wt: 8:   10 Midpoint of [a b] and [b a]
  112.    wt: 8:   8 Mid Point Formula
  113.    wt: 8:   7 Exercises to test skill and concept mastery
  114.    wt: 8:   5 Algebraic View of Slopes
  115.    wt: 8:   4 Equations for lines three forms
  116.    wt: 8:   3 Slope product for perpendicular lines
  117.    wt: 8:   What is and is not here
  118.    wt: 8:   10 Pythagorean plane distance formula
  119.    wt: 8:   9 Pythagorean Theorem Chinese Square Proof
  120.    wt: 8:   7 Complex Numbers Appetizer
  121.    wt: 8:   4 Polar Coordinates to and from
  122.    wt: 8:   PS B Parallelogram Construction Methods
  123.    wt: 8:   16 Angles Subtended By Chords and Diameters
  124.    wt: 8:   14 Parallel Lines Postulate
  125.    wt: 8:   7 Angle Side Angle
  126.    wt: 8:   2 Correspondence between Triangles
  127.    wt: 8:   Short Course on Euclidean Geometry
  128.    wt: 8:   A Measurement with Ruler Proper Use
  129.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  130.    wt: 8:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  131.    wt: 8:   15 Head to Tails in place Addition Associative
  132.    wt: 8:   11 Signed Number Addition and Addition Properties
  133.    wt: 8:   8 Division and Mulplication of Compound Fractions
  134.    wt: 8:   4 Location of Point in Decimal Addition
  135.    wt: 8:   1 Fractions with Finite Decimal Expansions
  136.    wt: 8:   E Long Division Methods more
  137.    wt: 8:   D Long Division Methods
  138.    wt: 8:   B Decimal Comparison and Subtraction
  139.    wt: 8:   A Decimal Addition Columm Methods
  140.    wt: 8:   5 Distributive Law for Whole Numbers
  141.    wt: 8:   1 The Counting Origins of Numbers
  142.    wt: 8:   6 Equations and Systems Equivalent or Implied
  143.    wt: 8:   2 Essentially one exercises three with solution
  144.    wt: 8:   4 Four Examples Fractional Coefficients
  145.    wt: 8:   4 Greater More Less Than Signs in General
  146.    wt: 8:   3 Comparison of Negative Numbers
  147.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  148.    wt: 8:   8 GCD from Euclidean Algorithm
  149.    wt: 8:   4 LCM of 8 and 10 via Prime
  150.    wt: 8:   12 GCD 2700 288 via Prime
  151.    wt: 8:   5 lengths and signs of numbers
  152.    wt: 8:   21 Working With Signs
  153.    wt: 8:   18 Efficient Ways to Multiply
  154.    wt: 8:   9 Improper Fractions and Mixed Numbers
  155.    wt: 8:   8 Numerals Fractionals Quantals Take II
  156.    wt: 8:   3 Unit fraction of a fraction
  157.    wt: 8:   A Associative Law Theorectical Note
  158.    wt: 8:   10 Integer Multiplication Formulas
  159.    wt: 8:   7 Multiplication by Signs
  160.    wt: 8:   3 Adding Movements with same direction
  161.    wt: 8:   2 Integers Multiplies of a Unit Moverment
  162.    wt: 8:   7 Calculator Usage Notes and Cautions
  163.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  164.    wt: 8:   010 Repeated Addition of Time Intervals
  165.    wt: 8:   9 Comparison and Subtraction of Time Intervals
  166.    wt: 8:   7 Addition of Time Intervals
  167.    wt: 8:   1 Intro of Kids To Time Date Skills
  168.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  169.    wt: 8:   26 Chain Rule Recognising outer inner functions
  170.    wt: 8:   17 Derivatives of quotients of sine and cosine
  171.    wt: 8:   16 Derivatives of reciprocals of sine and cosine
  172.    wt: 8:   13 sine and cosine derivatives 1st step
  173.    wt: 8:   6 Continuity at a point
  174.    wt: 8:   1 Numerical introduction
  175.    wt: 8:   3 Telling Tracking Time Temporal and More Place Sense
  176.    wt: 8:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  177.    wt: 7:   Appendix 2 primary school Arithmetic 01
  178.    wt: 7:   I LAMP Introduction Study Habits
  179.    wt: 7:   H LAMP Introduction Instructional Concepts
  180.    wt: 7:   G LAMP Introduction Problem Solving Skills
  181.    wt: 7:   F LAMP Introduction Prerequisites
  182.    wt: 7:   Ramblings Extrinsic numbers theory
  183.    wt: 7:   Ramblings Introduction Algebra Essay
  184.    wt: 7:   10 statistics
  185.    wt: 7:   5 logarithms and exponentials etc
  186.    wt: 7:   Math Ed if it must be short make it lean effective
  187.    wt: 7:   grouping students according to ability
  188.    wt: 7:   Education Reform Inconsistencies
  189.    wt: 7:   geometric implications for algebra
  190.    wt: 7:   Lessening Algebra Difficulties
  191.    wt: 7:   Operational Viewpoint to Value
  192.    wt: 7:   mathematics instruction in general
  193.    wt: 7:   Education in mathematics science and technology
  194.    wt: 7:   Different Kinds of Reasoning in maths
  195.    wt: 7:   cultivating intelligence
  196.    wt: 7:   chapitre 07 01 principle D induction mathematique
  197.    wt: 7:   F Wire Resistance Calculation04
  198.    wt: 7:   E Wire Resistance Calculation03
  199.    wt: 7:   D Wire Resistance Calculation02
  200.    wt: 7:   C Wire Resistance Calculation01
  201.    wt: 7:   3 Like resistors in parallel
  202.    wt: 7:   2 Unlike resistors in parallel01
  203.    wt: 7:   H Series Circuit02
  204.    wt: 7:   G Series Circuit01
  205.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take III
  206.    wt: 7:   6 Discipline Who is in Charge Conserving Authority
  207.    wt: 7:   sign monoticity analysis example 4
  208.    wt: 7:   sign monoticity analysis example 3
  209.    wt: 7:   sign monoticity analysis example 2
  210.    wt: 7:   sign monoticity analysis example 1
  211.    wt: 7:   24 Monotoncity Injectivity and Inverse Functions
  212.    wt: 7:   17 Function maxima minima and their location
  213.    wt: 7:   6 Polynomial Operations and Equivalent Computation Rules
  214.    wt: 7:   1 Polynomials Distributive Law
  215.    wt: 7:   21 Logarithms Powers and Exponentials
  216.    wt: 7:   18 Sixth Roots of Unity
  217.    wt: 7:   6 Field Properties of Complex Number
  218.    wt: 7:   1 Rectangular Polar Coordinates Review
  219.    wt: 7:   12 Links Lessons elsewhere
  220.    wt: 7:   11 A Partial Summary
  221.    wt: 7:   21 Parallelograms
  222.    wt: 7:   1 Length Measurement
  223.    wt: 7:   23 Distributive Law Two Derivations
  224.    wt: 7:   C Three Decimal Subtraction Methods
  225.    wt: 7:   4 Commutative Law Groups Counting Form
  226.    wt: 7:   5 Proportionality in Equivalent Fractions
  227.    wt: 7:   3 More and Less Than with Unlike Signs
  228.    wt: 7:   4 Solving a triangular system exercise
  229.    wt: 7:   6 Algebraic Solution Example
  230.    wt: 7:   Skill Development Notes
  231.    wt: 7:   Using Letters for Physical Quantities
  232.    wt: 7:   13 Naming Identifying Formulas with Words
  233.    wt: 7:   9 Sets in Probability and Statistics
  234.    wt: 7:   5 Square Roots with primes more still
  235.    wt: 7:   6 GCD from Prime
  236.    wt: 7:   11 What are real lengths and numbers
  237.    wt: 7:   B Fractions and Two Term Ratios
  238.    wt: 7:   21 Reciprocals for Fractions and Wholes
  239.    wt: 7:   17 Efficient Ways to Add and Subtract
  240.    wt: 7:   12 Fraction Comparison
  241.    wt: 7:   5 Equivalent Fractions
  242.    wt: 7:   1 What is a fraction
  243.    wt: 7:   D Remainders Modulo 11 Pair Rule
  244.    wt: 7:   9 Multiplying Integers
  245.    wt: 7:   6 Multiplication by Natural Numbers
  246.    wt: 7:   5 Zero Movement and Additive Inverses
  247.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  248.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  249.    wt: 7:   Practical Methods Ends and Values for Arithmetic
  250.    wt: 7:   6 How long is a million seconds
  251.    wt: 7:   5 Conversion Arithmetic
  252.    wt: 7:   4 Definite Integrals Evaluation Exercises
  253.    wt: 7:   2 Indefinite Integrals Exercises
  254.    wt: 7:   34 Derivative of exponential function
  255.    wt: 7:   31 Derivatives of inverse functions
  256.    wt: 7:   15 sine and cosine derivatives 3rd step
  257.    wt: 7:   14 sine and cosine derivatives 2nd step
  258.    wt: 7:   8 Differentiation of polynomials
  259.    wt: 7:   7 Animated Differentiation Examples
  260.    wt: 7:   5 Jumps and absence of unlimited error control
  261.    wt: 7:   4 Numerical properties
  262.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  263.    wt: 7:   Chapter 14 Limits and Continuity with and sans Decimals
  264.    wt: 7:   Helping the Blind in Logic and Mathematics
  265.    wt: 7:   Systematic Algebra Skill Development Missing Links
  266.    wt: 7:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  267.    wt: 7:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  268.    wt: 6:   Appendix 1 primary and preschool mathematic
  269.    wt: 6:   K LAMP Musings Science Education
  270.    wt: 6:   E LAMP Introduction Modern Mathematics
  271.    wt: 6:   B LAMP Introduction Curriculum Development Standards
  272.    wt: 6:   A Introduction Objectives
  273.    wt: 6:   Skills Chapter 1 Arithmetic
  274.    wt: 6:   Skills Chapter 0 Introduction
  275.    wt: 6:   11 pure mathematics
  276.    wt: 6:   8 analytic geometry etc
  277.    wt: 6:   6 polynomials etc
  278.    wt: 6:   3 Euclidean Geometry Leanly
  279.    wt: 6:   What is POMME
  280.    wt: 6:   activities for students
  281.    wt: 6:   links Education Resources online
  282.    wt: 6:   site origins
  283.    wt: 6:   teacher certification
  284.    wt: 6:   Maps Plans Drawings
  285.    wt: 6:   three difficulties
  286.    wt: 6:   mathematics curriculum shifts
  287.    wt: 6:   teaching tutoring algebraic reason
  288.    wt: 6:   three kinds of reason in mathematics
  289.    wt: 6:   need for a mixed mathematics curriculum
  290.    wt: 6:   education an empirical art
  291.    wt: 6:   chapitre 12 00 les iles et division
  292.    wt: 6:   chapitre 04 08 Limitations et benefices
  293.    wt: 6:   chapitre 04 05 Implication versus suggestion
  294.    wt: 6:   2 Conductance Resistance Duality02
  295.    wt: 6:   1 Conductance Resistance Duality01
  296.    wt: 6:   D Kirchoff First Law
  297.    wt: 6:   C Electromotive force conventional current02
  298.    wt: 6:   B Electromotive force conventional current01
  299.    wt: 6:   A Circuit Elements
  300.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  301.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  302.    wt: 6:   13 Addition and Addition Tables
  303.    wt: 6:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  304.    wt: 6:   26 Function definitions done and coming
  305.    wt: 6:   14 Surjections Injections Bijections
  306.    wt: 6:   12 Function Domain Recognition Exercises
  307.    wt: 6:   7 Functions with finite domains
  308.    wt: 6:   1 Geometric Introduction of Function Notation
  309.    wt: 6:   3 quadratics factoring by inspection
  310.    wt: 6:   7 Formulas for Roots with Logarithms Derivation
  311.    wt: 6:   3 Natural Logarithms and Exponentials Basic Properties
  312.    wt: 6:   2 Square Root Simplification a prequel
  313.    wt: 6:   2 Column Multiplication Method
  314.    wt: 6:   19 N th Roots of Unity
  315.    wt: 6:   17 Cube Roots of unity
  316.    wt: 6:   14 Law of cosines
  317.    wt: 6:   2 Complex Numbers made easier we hope
  318.    wt: 6:   Appetizer A Complex Number Applet
  319.    wt: 6:   A Signed Number Arithmetic Review
  320.    wt: 6:   24 Signed Numbers Arithmmetic Properties
  321.    wt: 6:   22 Multiplication of Signed Numbers
  322.    wt: 6:   21 Addition of Multiples of a Single Vector
  323.    wt: 6:   4 Fraction Operations Axiomatic Development
  324.    wt: 6:   3 Inequalities Algebraically
  325.    wt: 6:   1 Decimals Modular and Remainder Arithmetic
  326.    wt: 6:   4 Rates Ratios and Proporitionality
  327.    wt: 6:   3 Linear Equation Literal Solution More
  328.    wt: 6:   2 Linear Equation Literal Solution
  329.    wt: 6:   5 Equality in Algebra
  330.    wt: 6:   1 Equivalent Computation Rules
  331.    wt: 6:   5 Greater More Less Than Signs in General
  332.    wt: 6:   4 Comparison of Negative Numbers
  333.    wt: 6:   3 Geometric Formulas and Function Notation
  334.    wt: 6:   3 Solving triangular system example
  335.    wt: 6:   1 Proper Equal Sign Usage
  336.    wt: 6:   10 One Example
  337.    wt: 6:   9 Three Examples
  338.    wt: 6:   8 One Example
  339.    wt: 6:   7 Two Examples
  340.    wt: 6:   6 Three Examples
  341.    wt: 6:   5 Three Examples
  342.    wt: 6:   4 Two Examples
  343.    wt: 6:   3 Two Examples
  344.    wt: 6:   2 Three Examples
  345.    wt: 6:   10 Set View of Wordy Extensions To Arithmetic
  346.    wt: 6:   arithmetic videos Real Player Format
  347.    wt: 6:   1 More and Less Than for Counts and Measures
  348.    wt: 6:   4 Square Roots with primes more
  349.    wt: 6:   3 Properties of Square Roots with example
  350.    wt: 6:   2 Square Roots with Prime
  351.    wt: 6:   1 Squares and Square Roots Introduction
  352.    wt: 6:   D Three Term Ratios
  353.    wt: 6:   22 Complex Compound Fractions
  354.    wt: 6:   7 Numerals Fractionals Quantals
  355.    wt: 6:   12 Adding Integers More Examples
  356.    wt: 6:   11 Adding Integers Formulas and Examples
  357.    wt: 6:   1 Integers as Coordinates
  358.    wt: 6:   Exact Arithmetic Wholes and Fractions
  359.    wt: 6:   Expression Evaluation how to show work
  360.    wt: 6:   016 Numbering Occidental Calendar Days
  361.    wt: 6:   014 Counting Days with Calendars
  362.    wt: 6:   013 Travel Time Tables
  363.    wt: 6:   3 Units and Lengths of Time
  364.    wt: 6:   2 Time and Date Matters in School
  365.    wt: 6:   1 Chain Rule in Reverse Integration Method
  366.    wt: 6:   4 Second derivative test exercise example
  367.    wt: 6:   36 Cube root derivative animated
  368.    wt: 6:   29 Chain Rule Optional Reading
  369.    wt: 6:   25 Chain Rule Animated Examples Continued
  370.    wt: 6:   19 Chain Rule for linear functions
  371.    wt: 6:   18 Chain Rule Introduction
  372.    wt: 6:   8 Four Animated Examples
  373.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  374.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  375.    wt: 6:   Chapter 29 Contrapositive and Vacuously True Implications
  376.    wt: 6:   Postscript Unifying Theme A Fourth Skill For Algebra
  377.    wt: 6:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  378.    wt: 6:   Chapter 4 Logic for Reading Writing and Geometry etc
  379.    wt: 6:   Multiple Ways to Improve Mathematics Skill Development
  380.    wt: 6:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  381.    wt: 6:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  382.    wt: 6:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  383.    wt: 5:   Skills Chapter 4 Logic
  384.    wt: 5:   Skills Chapter 3 Algebra
  385.    wt: 5:   4 algebra
  386.    wt: 5:   website reviews
  387.    wt: 5:   permissions for teachers
  388.    wt: 5:   Applied Maths Program14092009 POMME variant
  389.    wt: 5:   About site lesson plans
  390.    wt: 5:   Mathematics Education Professors
  391.    wt: 5:   learning takes time
  392.    wt: 5:   mathematics in context
  393.    wt: 5:   five decades make a difference
  394.    wt: 5:   teaching tips
  395.    wt: 5:   three goals for Mathematics Education
  396.    wt: 5:   05 13 OldSiteEntrancePage
  397.    wt: 5:   04 29 New Mathematics Curriculum
  398.    wt: 5:   02 20 mathematics education references
  399.    wt: 5:   three aims for mathematics students
  400.    wt: 5:   formal or informal peer review
  401.    wt: 5:   Four ways to improve education reform
  402.    wt: 5:   Motivation and Context Problem
  403.    wt: 5:   Leaner mathematics curriculum
  404.    wt: 5:   Prequel In For A Penny In For A Pound
  405.    wt: 5:   words for mathematics instructor
  406.    wt: 5:   chapitre 04 00 Les regles d implication
  407.    wt: 5:   chapitre 02 00 La Communication des idees
  408.    wt: 5:   deux definitions pour variable
  409.    wt: 5:   E Kirchoffs Second Law
  410.    wt: 5:   25 Mathematics Education Leaving A Good Impression
  411.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take IV
  412.    wt: 5:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  413.    wt: 5:   Ages 12 to 14 Skills with take home value
  414.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  415.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  416.    wt: 5:   20 Interchanging coordinates a reflection
  417.    wt: 5:   16 Increasing or decreasing on intervals
  418.    wt: 5:   9 Set theory term relation possible origins
  419.    wt: 5:   5 Function notation for geometric transformations
  420.    wt: 5:   4 Function notation in and beyond mathematics
  421.    wt: 5:   Introduction Reading Guide
  422.    wt: 5:   7 quadratic formulla derivation
  423.    wt: 5:   2 quadratics graphing in general
  424.    wt: 5:   1 quadratics graphing exercises
  425.    wt: 5:   8 Formulas for Fractional Exponents with Logarithms
  426.    wt: 5:   20 N th Roots of Complex Numbers
  427.    wt: 5:   15 Pythagorean Theorem Converse
  428.    wt: 5:   7 Second Way to Calculate Products
  429.    wt: 5:   About Folder Contents
  430.    wt: 5:   musings do not puiblish real numbers
  431.    wt: 5:   A Modular and Remainder Arithmetic
  432.    wt: 5:   25 Mid way Convergence to Axiomatic Approach
  433.    wt: 5:   19 Signed Multiples of Vectors
  434.    wt: 5:   18 Geometrically Why Vector Addition Commutes
  435.    wt: 5:   16 Collinear Horizontal Arrows Vectors
  436.    wt: 5:   13 Arrows and Vectors in a Plane
  437.    wt: 5:   12 Real Numbers Line Signed Coordinates
  438.    wt: 5:   2 Fraction Operations Physical Development
  439.    wt: 5:   1 What is Proportionality
  440.    wt: 5:   3 Product Axioms Two Forms
  441.    wt: 5:   1 Real Numbers Comparison
  442.    wt: 5:   5 Independent versus Dependent Variables
  443.    wt: 5:   2 Computation Rules Evaluation
  444.    wt: 5:   1 Formulas Dependence and Function Notation
  445.    wt: 5:   Simple Exercises
  446.    wt: 5:   1 Essentially One Unknown
  447.    wt: 5:   3 Four Examples
  448.    wt: 5:   2 Three Examples
  449.    wt: 5:   1 Written work formats for developing and showing skill
  450.    wt: 5:   Quick history of numbers and algebra
  451.    wt: 5:   Formula Evaluation how to show work
  452.    wt: 5:   The 12 Times Table Visually
  453.    wt: 5:   015 School and work day counting tables
  454.    wt: 5:   Volume of Solid by Cross Sections Lesson
  455.    wt: 5:   Example 4 with x function of y
  456.    wt: 5:   3 Second derivative test
  457.    wt: 5:   2 Second derivative test prequel
  458.    wt: 5:   A Chain Rule Real Player video examples
  459.    wt: 5:   38 Formulas and derivatives for powers and roots
  460.    wt: 5:   33 Chain Rule Real Player video examples
  461.    wt: 5:   28 Chain Rule Preparation for a Proof
  462.    wt: 5:   24 Chain Rule Animated Examples
  463.    wt: 5:   23 Chain Rule in general
  464.    wt: 5:   22 Chain Rule for polynomials
  465.    wt: 5:   10 Power rule for negative integers
  466.    wt: 5:   G.5 Motions With Bounded Velocities
  467.    wt: 5:   G.2 Differentiable Functions Mean Value Theorem
  468.    wt: 5:   F.5a Equicontinuity Theorems
  469.    wt: 5:   E2 Algebraic Properties of Limits
  470.    wt: 5:   C Triangle Inequalities
  471.    wt: 5:   PostScript For and Against Decimal Perspectives
  472.    wt: 5:   Chapter 15. Algebraic Evaluation of Limits
  473.    wt: 5:   Appendix A. Reading Guide For Next Appendices
  474.    wt: 5:   Chapter 13. Second Reading Guide
  475.    wt: 5:   Chapter 10 Describing and Changing Calculations
  476.    wt: 5:   Solutions For Arithmetic Exercises
  477.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  478.    wt: 5:   Postscript B Mathematics Education References
  479.    wt: 5:   Chapter 3 Algebra Difficulties
  480.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  481.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  482.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  483.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  484.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  485.    wt: 5:   G. Written work formats for developing and showing skill
  486.    wt: 5:   Appendix A Calculus with Proofs for Keen or Gifted
  487.    wt: 5:   Talking pdf files for online lessons a webvideo alternative
  488.    wt: 4:   Skills Chapter 5 Calculus
  489.    wt: 4:   Skills Chapter 2 Geometry
  490.    wt: 4:   which way to go
  491.    wt: 4:   site eurekas
  492.    wt: 4:   modern education
  493.    wt: 4:   Postscript 2007 01 10
  494.    wt: 4:   Secondary Three Mathematics
  495.    wt: 4:   Secondary Two Mathematics
  496.    wt: 4:   Secondary One Mathematics
  497.    wt: 4:   the trouble with algebra
  498.    wt: 4:   standards for course material
  499.    wt: 4:   How to be a better instructor
  500.    wt: 4:   chapitre 07 00 Des chaines plus longues de la raison
  501.    wt: 4:   chapitre 06 00 Chaines de la raison
  502.    wt: 4:   chapitre 04 10 Etapes pour une meilleur raison
  503.    wt: 4:   chapitre 04 02 Deuxieme enigme
  504.    wt: 4:   chapitre 04 01 Premiere enigme
  505.    wt: 4:   chapitre 03 A Propos Des Prochains Chapitre
  506.    wt: 4:   chapitre 01 00 Introduction
  507.    wt: 4:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  508.    wt: 4:   Trois Notions qui menent a algebre
  509.    wt: 4:   4 Energy Power Heat09
  510.    wt: 4:   3 Energy Power Heat08
  511.    wt: 4:   2 Energy Power Heat07
  512.    wt: 4:   1 Energy Power Heat06
  513.    wt: 4:   E Energy Power05
  514.    wt: 4:   D Energy Power04
  515.    wt: 4:   C Energy Power03
  516.    wt: 4:   B Energy Power02
  517.    wt: 4:   A Energy Power01
  518.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  519.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  520.    wt: 4:   14 Multiplication and Times Tables
  521.    wt: 4:   2 Reading and Writing Skills
  522.    wt: 4:   Ages 12 to 14 Arithmetic
  523.    wt: 4:   Ages 10 to 12 Arithmetic
  524.    wt: 4:   15 Sign analysis of functions
  525.    wt: 4:   8 Set view of relations and functions
  526.    wt: 4:   6 Set Existence Formation and Notation
  527.    wt: 4:   3 Formula or function graphing exercise
  528.    wt: 4:   2 Algebraic use of function notation
  529.    wt: 4:   10 quadratic exercises
  530.    wt: 4:   9 quadratics physical and further context
  531.    wt: 4:   8 quadratics backward use of various formulas
  532.    wt: 4:   6 quadratics numerical approach
  533.    wt: 4:   5 quadratics completing the square
  534.    wt: 4:   4 quadratics difference of two squares
  535.    wt: 4:   Quadratics in 10 steps
  536.    wt: 4:   11 Growth and Decay in Biology
  537.    wt: 4:   9 Formulas for Real Exponents with Logarithms
  538.    wt: 4:   6 Formulas for Even and Odd Roots with Logarithms
  539.    wt: 4:   5 Natural Logarithm Calculator Exercises
  540.    wt: 4:   8 Notes for instructors or tutors
  541.    wt: 4:   7 Links Lessons Elsewhere
  542.    wt: 4:   5 Areas of Rectangles Revisited
  543.    wt: 4:   3 Proportionality Examples
  544.    wt: 4:   2 Algebraic View
  545.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  546.    wt: 4:   1 Changing Calculations
  547.    wt: 4:   2 More and Less Than for Counts and Measures
  548.    wt: 4:   12 Real Number Additive Inverses or Negatives
  549.    wt: 4:   4 Changing Letters
  550.    wt: 4:   More Exercises
  551.    wt: 4:   7 Compound Interest Formula Introduction
  552.    wt: 4:   7 Cautious or Safe Set Construction
  553.    wt: 4:   5 Product Builder Notation
  554.    wt: 4:   4 Subset Builder Notation
  555.    wt: 4:   3 Counting with Sets etc
  556.    wt: 4:   1 Finite Sets
  557.    wt: 4:   The 20 Times Table
  558.    wt: 4:   Example 1 volume of a pyramid
  559.    wt: 4:   Area Between Crossing Curves Lesson Take 2
  560.    wt: 4:   Area Between Crossing Curves Lesson Take 1
  561.    wt: 4:   A Related Material in Volume 3
  562.    wt: 4:   3 Two Chain Rule Method Exercises
  563.    wt: 4:   A Related lessons in Volume 3
  564.    wt: 4:   30Chain Rule A Proof
  565.    wt: 4:   21 Chain Rule for powers
  566.    wt: 4:   20 Chain Rule for Pulley Systems
  567.    wt: 4:   12 Quotient rule examples
  568.    wt: 4:   11 Quotient rule
  569.    wt: 4:   9 Reciprocal rule
  570.    wt: 4:   1 Fall 1983 Why Slopes Appetizer
  571.    wt: 4:   G.1 Differentiable Functions Rolles Theorem
  572.    wt: 4:   F.4 Finite Covering Theorem
  573.    wt: 4:   F.3 Intermediate Value Theorem
  574.    wt: 4:   E1 Error Control Inequalities
  575.    wt: 4:   Chapter 16. Velocity Approximation
  576.    wt: 4:   Chapter 13. Acceleration
  577.    wt: 4:   Chapter 11. Graphing Slope versus Position
  578.    wt: 4:   Chapter 31 Direct and Indirect Reason
  579.    wt: 4:   Chapter 25. Mathematical Induction Examples
  580.    wt: 4:   Chapter 21. Third Reading Guide
  581.    wt: 4:   Chapter 15. Solving Linear Equations
  582.    wt: 4:   Postscript What is a Variable
  583.    wt: 4:   Chapter 9 Talking about Numbers or Quantities
  584.    wt: 4:   Chapter 7 Prep for Calculus Arithmetic Exercises
  585.    wt: 4:   Chapter 2 Implication Rules Forwards and Backwards
  586.    wt: 4:   Annotated Links to Material Elsehwere
  587.    wt: 4:   Postscript A Three Remarks
  588.    wt: 4:   Chapter 11 Elementary Instruction
  589.    wt: 4:   Chapter 10 Transition
  590.    wt: 4:   Chapter 8 Modern Instruction
  591.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  592.    wt: 4:   Chapter 2 For and Against Mathematics
  593.    wt: 4:   Chapter 1 Introduction
  594.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  595.    wt: 4:   O On Learning Mathematics and Science
  596.    wt: 4:   M Words to extend arithmetic
  597.    wt: 4:   L Skills with take home value
  598.    wt: 4:   N Improving Marks on Tests and Finals
  599.    wt: 4:   J. More on written work and showing skill
  600.    wt: 4:   I. Logic and language skills
  601.    wt: 4:   H more Routine to non routine problem solving
  602.    wt: 4:   How to Build Skills and Confidence
  603.    wt: 4:   Chapter 8 Skipped Topics and Why
  604.    wt: 4:   Chapter 7 Calculus Previews and Calculus Lightly
  605.    wt: 4:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  606.    wt: 4:   Chapter 1 Arithmetic
  607.    wt: 4:   Mathematics Education References
  608.    wt: 4:   Mathematics Education References
  609.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  610.    wt: 4:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  611.    wt: 4:   Implementation Notes
  612.    wt: 3:   why bother
  613.    wt: 3:   three goals to set for students
  614.    wt: 3:   Teach the teachers plus goals
  615.    wt: 3:   key notes and themes
  616.    wt: 3:   what should be learnt and When
  617.    wt: 3:   how letters appear
  618.    wt: 3:   talk the algebra talk
  619.    wt: 3:   What to Tell Students
  620.    wt: 3:   04 25 when to stop or suspend mathemat
  621.    wt: 3:   02 21 words for teachers
  622.    wt: 3:   Theory of Knowledge
  623.    wt: 3:   chapitre 05 00 Deception
  624.    wt: 3:   chapitre 04 09 Regles accidentelles
  625.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  626.    wt: 3:   chapitre 04 04 Parlons de la logique
  627.    wt: 3:   problemes algebre et arithmetique
  628.    wt: 3:   logique deux enigme
  629.    wt: 3:   24 Standards For Skill Develoment Take II
  630.    wt: 3:   10 Ends values for work study instruction
  631.    wt: 3:   3 Preparing for Science Studies
  632.    wt: 3:   23 Inverse Functions
  633.    wt: 3:   22 Square Root function graphically
  634.    wt: 3:   19 Horizontal line rule and method
  635.    wt: 3:   18 Vertical Line Rule and Method
  636.    wt: 3:   13 From one to one to many to one
  637.    wt: 3:   11 Function Domain Range Source and Targets
  638.    wt: 3:   10 Interval Notation
  639.    wt: 3:   A Quadratics Summary
  640.    wt: 3:   10 Exponential Growth and Decay Models
  641.    wt: 3:   1 Calculator Starter Exercises
  642.    wt: 3:   26 More Less Greater Than Comparison
  643.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  644.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  645.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  646.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  647.    wt: 3:   6 Compound Interest Forward and Backwards
  648.    wt: 3:   5 Triangle Area Formula Backwards
  649.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  650.    wt: 3:   15 Real Number Division
  651.    wt: 3:   14 Real Number Multiplication
  652.    wt: 3:   9 Coordinates for Regions in Space
  653.    wt: 3:   Formula Usage Show Work Format
  654.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  655.    wt: 3:   8 Compound Interest Formula Evaluation
  656.    wt: 3:   6 Power Set Notation
  657.    wt: 3:   2 Venn Diagrams
  658.    wt: 3:   6 Three Notions of What is a Variable
  659.    wt: 3:   5 Talking about Numbers and Quantities
  660.    wt: 3:   3 Adding Words To Arithmetic
  661.    wt: 3:   About folder contents
  662.    wt: 3:   Example 2 volume of a cone
  663.    wt: 3:   Example 1. Area Between x and x squared
  664.    wt: 3:   Example 3
  665.    wt: 3:   Example 2
  666.    wt: 3:   Example 1
  667.    wt: 3:   Area Between Curves Lesson Take 2
  668.    wt: 3:   Area Between Curves Lesson Take 1
  669.    wt: 3:   5 Area Under Curve Exercise
  670.    wt: 3:   6 Power rule from product rule
  671.    wt: 3:   5 Product Rule
  672.    wt: 3:   4 Sum Rule
  673.    wt: 3:   F.1 What Functions are Continuous
  674.    wt: 3:   D2 Limits of Monotone Sequences
  675.    wt: 3:   A1. Introduction
  676.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  677.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  678.    wt: 3:   Chapter 23 Links To Trigonometry
  679.    wt: 3:   Chapter 21 Arrow Addition
  680.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  681.    wt: 3:   Chapter 18. Slopes Areas Integration
  682.    wt: 3:   Chapter 17. Area Approximation
  683.    wt: 3:   Chapter 15. Slope Approximation
  684.    wt: 3:   Chapter 9 About First Courses in Calculus
  685.    wt: 3:   Chapter 8. Slope Interpretation
  686.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  687.    wt: 3:   Chapter 4. More Slope Sign Analysis
  688.    wt: 3:   Chapter 3. Slope Sign Analysis
  689.    wt: 3:   Chapter 2. Slopes and Ski Trails
  690.    wt: 3:   Chapter 1.Introduction
  691.    wt: 3:   Appendix E. How To Study Mathematics and Why
  692.    wt: 3:   Appendix D. What to do in School and Why
  693.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  694.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  695.    wt: 3:   Chapter 16. Painless Theorem Proving
  696.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  697.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  698.    wt: 3:   Chapter 24 Direct and Indirect Reason
  699.    wt: 3:   Chapter 17 Objective Ways Trial and Error Discovery
  700.    wt: 3:   Chapter 10 Responsibility
  701.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  702.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  703.    wt: 3:   R Why Learn Mathematics Skills
  704.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  705.    wt: 3:   N Mathematics Prepare for College Studies
  706.    wt: 3:   H Jigsaw puzzles and problem solving
  707.    wt: 3:   D. Check work a must with a caution
  708.    wt: 3:   C. Domino effect of being careful
  709.    wt: 3:   A. Skill has to be seen to believed
  710.    wt: 3:   More Algebra and Slope based Calculus Preview
  711.    wt: 3:   Which Way To Go
  712.    wt: 2:   chapitre 04 06 engagements
  713.    wt: 2:   liens
  714.    wt: 2:   Home Tutoring and Home Schooling
  715.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  716.    wt: 2:   22 Student Centered Highschool Mathematics
  717.    wt: 2:   18 Primary School Mathematics
  718.    wt: 2:   16 Secondary Mathematics Tips
  719.    wt: 2:   12 Goals and Objectives For Mathematics
  720.    wt: 2:   11 Help and Defend Your Child or Teens Education
  721.    wt: 2:   9 Streaming by Student Cooperation
  722.    wt: 2:   7 Student Motivation
  723.    wt: 2:   4 Learning Takes Time and Effort
  724.    wt: 2:   1 Speaking Skills
  725.    wt: 2:   Ages 12 to 14 Geometry
  726.    wt: 2:   Ages 10 to 12 Geometry
  727.    wt: 2:   Ages 9 to 10
  728.    wt: 2:   Ages 8 to 9
  729.    wt: 2:   Ages 7 to 8
  730.    wt: 2:   Ages 6 to 7
  731.    wt: 2:   Ages 4 plus to 5 plus
  732.    wt: 2:   Ages 3 plus to 4 plus
  733.    wt: 2:   13 Real Number Subtraction
  734.    wt: 2:   11 Real Number Addition
  735.    wt: 2:   8 Coordinates for Maps and Planes
  736.    wt: 2:   7 Real Numbers as Line Cordinates
  737.    wt: 2:   10 Volume of Pyramid
  738.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  739.    wt: 2:   4 Circle Area Formula Example
  740.    wt: 2:   3 Triangle Area Formula Example
  741.    wt: 2:   8 Sets of Numbers
  742.    wt: 2:   2 What is a Variable
  743.    wt: 2:   Summary
  744.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  745.    wt: 2:   G.3 Constant Difference Theorem Proof
  746.    wt: 2:   F.5b Extreme Value Theorem
  747.    wt: 2:   B3 Bolzano Weierstrass Theorem
  748.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  749.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  750.    wt: 2:   Chapter 12. Units and Slopes
  751.    wt: 2:   Chapter 10 Slopes and Units
  752.    wt: 2:   Chapter 7 Slopes and Velocity
  753.    wt: 2:   Chapter 5. Slope Sign Tests
  754.    wt: 2:   Fall 1983 Calculus Appetizer
  755.    wt: 2:   Postscript More on Better Performance
  756.    wt: 2:   Postscript For Better Performance
  757.    wt: 2:   Appendix C. How to Read
  758.    wt: 2:   Appendix B. How To Learn
  759.    wt: 2:   Chapter 23. Notation For Sums
  760.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  761.    wt: 2:   Chapter 20. Degrees and Radians
  762.    wt: 2:   Chapter 19. Functions and Sets
  763.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  764.    wt: 2:   Chapter 12. Shorthand Usage Guide
  765.    wt: 2:   Chapter 8 Three Skills For Algebra
  766.    wt: 2:   Chapter 4 Longer Chains of Reason
  767.    wt: 2:   Chapter 3 Chains of Reason
  768.    wt: 2:   Chapter 12 Four Phases
  769.    wt: 2:   Chapter 9 The Two Ends
  770.    wt: 2:   Chapter 7 Two Treatments of Geometry
  771.    wt: 2:   Chapter 5 Four References
  772.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  773.    wt: 2:   Foreword
  774.    wt: 2:   Postscript C Consistency as a Tool for Reason
  775.    wt: 2:   Postscript B More on Story Telling and Reason
  776.    wt: 2:   Postscript A Story Telling
  777.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  778.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  779.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  780.    wt: 2:   Chapter 1 Introduction
  781.    wt: 2:   S Adding words to algebra
  782.    wt: 2:   B. Domino effect of errors
  783.    wt: 2:   Chapter 6 More Algebra and Geometry
  784.    wt: 2:   Chapter 3 Algebra Starter Lessons
  785.    wt: 2:   Chapter 2 Why Sets
  786.    wt: 2:   Site Reviews
  787.    wt: 20:   9 Remainder Arithmetic Divisibility by 5
  788.    wt: 20:   2 Division with Single Digit Divisors
  789.    wt: 1:   problemes responses
  790.    wt: 1:   24 Standards For Skill Develoment
  791.    wt: 1:   17 Math Booklets for children and young teenagers
  792.    wt: 1:   15 Counting For Parents
  793.    wt: 1:   8 The Effect of Negative Remarks
  794.    wt: 1:   5 Patience Please for Yourself and Your Charges
  795.    wt: 1:   16 Real Numbers Comparison
  796.    wt: 1:   10 Real Number Lengths and Signs
  797.    wt: 1:   6 Unsigned Real Numbers
  798.    wt: 1:   5 Rational Numbers More
  799.    wt: 1:   4 Rational Numbers
  800.    wt: 1:   3 Fractions
  801.    wt: 1:   2 Integers
  802.    wt: 1:   11 Volume of Sphere
  803.    wt: 1:   9 Volume of Cone
  804.    wt: 1:   5 Box Volume Formula Example
  805.    wt: 1:   2 Another Rectangle Area Formula Example
  806.    wt: 1:   4 A Brief Story of numbers and algebra
  807.    wt: 1:   1 Three Skills For Algebra
  808.    wt: 1:   F.2 Closed Range Theorem
  809.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  810.    wt: 1:   Chapter 22 Complex Numbers
  811.    wt: 1:   Foreword
  812.    wt: 1:   Chapter 30 Truth Tables
  813.    wt: 1:   Chapter 28 Occurrence Tables
  814.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  815.    wt: 1:   Chapter 18. Rules for Algebra
  816.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  817.    wt: 1:   Chapter 11. Why Shorthand
  818.    wt: 1:   Chapter 6 Change of Language
  819.    wt: 1:   Foreword
  820.    wt: 1:   Chapter 15 Objective Processes
  821.    wt: 1:   Chapter 11 Accidental Patterns
  822.    wt: 1:   Chapter 7 Longer Chains of Reason
  823.    wt: 1:   Chapter 6 Chains of Reason
  824.    wt: 1:   Chapter 5 Deception
  825.    wt: 1:   Chapter 2 Skill Development
  826.    wt: 1:   F. The student teacher tutor feedback loop
  827.    wt: 1:   E. When and how to correct errors
  828.    wt: 1:   Road Safety Questions
  829.    wt: 1:   The Math Forum and Site Content
  830.    wt: 19:   19 Remainder Arithmetic Rule of 9 for checking sums III
  831.    wt: 19:   11 Remainder Arithmetic Long Division by 5 Quickly more
  832.    wt: 19:   10 Remainder Arithmetic Long Division by 5 Quickly
  833.    wt: 19:   3 Division Single Digit Divisor Example
  834.    wt: 19:   Video Decimal Multiplication Geometric View Example 2
  835.    wt: 19:   Video Decimal Multiplication Geometric View Example 2
  836.    wt: 18:   18 Remainder Arithmetic Rule of 9 for checking sums II
  837.    wt: 18:   4 Division with 2 Digit Divsors
  838.    wt: 17:   Construction Methods and Criteria for Isometric and Similar Triangles
  839.    wt: 17:   4 Similarity Definition with Coordinate
  840.    wt: 17:   27 Divisibility by 2 3 6 5 9 10 Example
  841.    wt: 17:   26 Divisibility by 2 3 5 Example
  842.    wt: 17:   25 Divisibility Tests for 2 3 5 9 10 Example
  843.    wt: 17:   24 Divisibility Tests for 2 3 5 9 10
  844.    wt: 17:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  845.    wt: 17:   17 Remainder Arithmetic Rule of 9 for checking sums I
  846.    wt: 17:   8 Remainder Arithmetic Morulo 5 Examples II
  847.    wt: 17:   12 Why Long Division Works Take III
  848.    wt: 17:   Video Power Notation in Decimal Expansion
  849.    wt: 17:   Appendix 1 Counting Revisited 15 minute video
  850.    wt: 16:   Analytic View of Triangle Construction or Line Instersection More
  851.    wt: 16:   11 Triangle Similarity Missing Side Problem
  852.    wt: 16:   10 Similarity of Triangles Equivalent of Two Criteria
  853.    wt: 16:   3 Similarity by Design with coordinates
  854.    wt: 16:   3 GE III Equation Addition and Multiplication
  855.    wt: 16:   13 Remainder Arithmetic Modulo 5 Example
  856.    wt: 16:   7 Remainder Arithmetic Modulo 5 Examples I
  857.    wt: 16:   6 Remainder Arithmetic Modulo 5 Propertie
  858.    wt: 16:   4 Remainder Arithmetic Modulo 10 in general
  859.    wt: 16:   3 Remainder Arithmetic Modulos 10 more still
  860.    wt: 16:   Division with Counts and Length
  861.    wt: 16:   11 Another Single Digit Divisor Example
  862.    wt: 16:   9 Why Long Division Works Take II
  863.    wt: 16:   6 Why Decimal Long Division Methods Works Take I
  864.    wt: 16:   D Decimal Multiplication Methods Derived
  865.    wt: 16:   5 Decimal Fraction Multiplication
  866.    wt: 16:   7 Adding decimal fractions using decimal point
  867.    wt: 15:   13 cosecant function Definition Graph and Inverse
  868.    wt: 15:   7 arcsin left inverse of sine Definition
  869.    wt: 15:   3 Left Inverse of cosine arccos definition
  870.    wt: 15:   Straight Lines Instersection Solving Equations
  871.    wt: 15:   13 Straight Lines Finding Equations from 2 points
  872.    wt: 15:   30 unit circle calculation of six trigonometric functions
  873.    wt: 15:   9 Similarity of Triangles Usual Criteria
  874.    wt: 15:   6 Simplification of Fractions with Units
  875.    wt: 15:   5 Reciprocals and Division for Fractions with Units
  876.    wt: 15:   A Decimals Modular and Remainder Arithmetic
  877.    wt: 15:   23 Remainder Arithmetic Modulo 2
  878.    wt: 15:   22 Remainder Arithmetic Modulo 3 more
  879.    wt: 15:   21 Remainder Arithmetic Modulo 3
  880.    wt: 15:   16 Remainder Arithmetic Modulo 9 Example 2
  881.    wt: 15:   15 Remainder Arithmetic Modulo 9 Example
  882.    wt: 15:   14 Remainder Arithmetic Modulo 9 Example
  883.    wt: 15:   12 Remainder Arithmetic Modulo 10 Example
  884.    wt: 15:   5 Remainder Arithmetic Modulo 5
  885.    wt: 15:   2 Remainder Arithmetic Modulo 10 more
  886.    wt: 15:   1 Remainder Arithmetic Modulo 10
  887.    wt: 15:   Long Division Backwards more
  888.    wt: 15:   Long Division Backward
  889.    wt: 15:   Long Division forwards and backwards Example 3
  890.    wt: 15:   Long Division forwards and backwards Example 2
  891.    wt: 15:   Long Division forwards and backwards Example 1
  892.    wt: 15:   10 Division by Five Long and Short Ways
  893.    wt: 15:   7 Long Divison Mistake Catching
  894.    wt: 15:   5 Long Division Include Zeroes or not
  895.    wt: 15:   A Elementary Basis for Multiplication Methods
  896.    wt: 15:   6 Multiplication Commutes Order Not Important
  897.    wt: 15:   4 Two and Three Digit Multipliers
  898.    wt: 15:   3 More One Digit Multipliers
  899.    wt: 15:   2 One Digit Multipliers
  900.    wt: 15:   Appendix 1 Decimals Comparison Method Take II
  901.    wt: 15:   7 Subtraction for Decimal Fractions with Exercises
  902.    wt: 15:   6 Subtraction with Conversion Example with Exercises
  903.    wt: 15:   6. Counting and adding units and mixed units
  904.    wt: 14:   16 cotangent function Definition Graph and Inverse
  905.    wt: 14:   15 cosecant function Definition Graph and Inverse
  906.    wt: 14:   14 secant function Definition Graph and Inverse
  907.    wt: 14:   14 Why Scalar Multiplication Distributes Physical Argument
  908.    wt: 14:   13 Velocity Vectors in Physics
  909.    wt: 14:   7 Coordinate Addition and Scalar Multiplication
  910.    wt: 14:   SAS Method For Isometric Or Proportional Triangle Construction
  911.    wt: 14:   31 basic secant cosecant cotangent trig identities
  912.    wt: 14:   2 Similar Triangles Equality of Corresponding Side Ratios
  913.    wt: 14:   13 Navigation Location from Angles to 2 Landmarks
  914.    wt: 14:   7 Translations Rotations Reflections Dilatations
  915.    wt: 14:   PS F Scalar Multiplication Distributes over Addition
  916.    wt: 14:   PS C Similarity Use Recognize it in Trigonometry
  917.    wt: 14:   4 video Prime Factorization Introduction
  918.    wt: 14:   1 Divsion Physical Examples
  919.    wt: 14:   Subtraction with J Conversions Example
  920.    wt: 14:   9 22 Minute Subtraction Review Video
  921.    wt: 14:   4. How to add with decimals B with conversions
  922.    wt: 14:   1. Explaining Addition Table
  923.    wt: 13:   10 arctan left inverse of tangent Definition
  924.    wt: 13:   5 Swapping Coordinates is a reflection
  925.    wt: 13:   Straight Lines ASA Intersection Study More
  926.    wt: 13:   Straight Lines ASA Intersection Study
  927.    wt: 13:   Straight Lines Intersection of
  928.    wt: 13:   10 Straight Lines through Origin Equations More
  929.    wt: 13:   9 Straight Lines through Origin Equations
  930.    wt: 13:   3 Straight Lines Slope as Tangent of Inclination Angle
  931.    wt: 13:   19 Pythagorean Identity For sine and cosine functions
  932.    wt: 13:   11 tangent function undefined when terminal side vertical
  933.    wt: 13:   Right Triangle and Unit Circle Trigonometry
  934.    wt: 13:   12 Triangles Similarity More Problems
  935.    wt: 13:   8 Similarity of Triangles and Polygons
  936.    wt: 13:   6 Geometric Diagrams in Class
  937.    wt: 13:   5 Similarity of Circles Squares and Rectangles
  938.    wt: 13:   2 Similarity By Design
  939.    wt: 13:   1 Addition and Subtraction with Units
  940.    wt: 13:   19 video Prime Factorization Unique
  941.    wt: 13:   18 video Count Factors given Prime Factorization
  942.    wt: 13:   15 video Factors of 20 using Prime Factorization
  943.    wt: 13:   13 video Factors of 24 using prime
  944.    wt: 13:   8 Correcting the Mistake
  945.    wt: 13:   C Counting Areas with Powers of Ten
  946.    wt: 13:   1 Why 3 times 5 gives 15
  947.    wt: 13:   Appendix 2 Three Decimal Subtraction Methods
  948.    wt: 13:   Subtraction Another Video Lesson
  949.    wt: 13:   8 Subtraction with Units of Measure
  950.    wt: 13:   5 A Tip for Efficent Subtraction
  951.    wt: 13:   4 Subtraction with Conversions Borrows and Letter J
  952.    wt: 13:   1 Comparison and Subtraction Easy Direct Cases
  953.    wt: 13:   8 What skills and work habits to require
  954.    wt: 13:   3. How to add with decimals A sans conversions
  955.    wt: 13:   2 Decimal Counting Practices
  956.    wt: 13:   13 Limits with Parameters and Derivatives Take II
  957.    wt: 13:   10 Three one sided limits with infinite values
  958.    wt: 12:   9 motivation for name arcsin
  959.    wt: 12:   8 arcsin left inverse of sine Graph
  960.    wt: 12:   4 possible motivation for term arccos
  961.    wt: 12:   2 cosine function more properties
  962.    wt: 12:   1 cosine function properties
  963.    wt: 12:   3 Navigation with Arrows or Vectors
  964.    wt: 12:   B Straight Line Slope Scaling Properties More
  965.    wt: 12:   A Straight Line Slope Scaling Properties
  966.    wt: 12:   8 Straight Lines Equation for vertical
  967.    wt: 12:   7 Tangent Function is odd on this domain
  968.    wt: 12:   6 Tangent Function Inclination Angle Take 2
  969.    wt: 12:   27 Logarithmic use of products of sines and cosines
  970.    wt: 12:   17B sine cosine Angle Sum Formulas via cis
  971.    wt: 12:   17A The complex number valued trig function cis
  972.    wt: 12:   15 sine cosine Complementary Angle Relations
  973.    wt: 12:   1 Unit Points Reflections Rotations
  974.    wt: 12:   7 Trignometric Ratios Unit Circle
  975.    wt: 12:   5 Trigonometric Ratios For Tangent and Special Triangles
  976.    wt: 12:   4 Trigonometric Ratios For Two Special Triangles
  977.    wt: 12:   3 Trigonometric Ratios sine and cosine
  978.    wt: 12:   Right Triangle and Unit Circle Trigonometry
  979.    wt: 12:   1 Early Concept of Like or Similar Shapes
  980.    wt: 12:   PS G Rotation Distributes over Addition
  981.    wt: 12:   PS E Multiplication with Polar Coordinates
  982.    wt: 12:   PS D Addition with Cartesian Coordinates
  983.    wt: 12:   19 Right Triangle Similarity
  984.    wt: 12:   3 Multiplicative Counting Skills Principles
  985.    wt: 12:   3 Gaussian Elimination 3 unknowns first example
  986.    wt: 12:   Fraction Operations by Raising Terms A Simple Innovation
  987.    wt: 12:   C Divisibility by 11 Integer Recognition Method
  988.    wt: 12:   10 video Prime Factorization upto 23 squared
  989.    wt: 12:   9 video Prime Factorization upto 19 squared
  990.    wt: 12:   8 video Prime Factorization upto 19
  991.    wt: 12:   3 video Primes and Composites from 9 times table
  992.    wt: 12:   3 Decimal insights for limits continuity convergence
  993.    wt: 12:   2 Identifying Size and Position Place and Spatial Sense
  994.    wt: 11:   12 motivation for term arctan
  995.    wt: 11:   7 Radian Measures in special Triangles
  996.    wt: 11:   A Global Time and Navigation
  997.    wt: 11:   9 Head to Tail Coordinate View
  998.    wt: 11:   6 Vectors with Coordinates
  999.    wt: 11:   5 Head To Tail Arrow Addition
  1000.    wt: 11:   2 Graphing y=Af(x) Vertical Scaling
  1001.    wt: 11:   D Straight Lines Slope from Coordinates Examples
  1002.    wt: 11:   C Straight Lines Slope from Coordinates
  1003.    wt: 11:   14 Straight Lines Equations General Case
  1004.    wt: 11:   12 Straight Lines Graphing mx plus b
  1005.    wt: 11:   11 Straight Lines Graphing y=mx
  1006.    wt: 11:   2 Straight Lines Slopes As Rise Over Run
  1007.    wt: 11:   35 sines and cosines of 2A 3A 4A 5A
  1008.    wt: 11:   34 sines and cosines of 2A 3A 4A 5A
  1009.    wt: 11:   33 sines and cosines of 2A 3A 4A 5A
  1010.    wt: 11:   32 seven rows of pascals triangle
  1011.    wt: 11:   28 Expressing products of sines cosines as sums
  1012.    wt: 11:   18 sum of sinusoidal waves as a single wave
  1013.    wt: 11:   17D cis formulas for sine cosines and tangent
  1014.    wt: 11:   17C sine and cosine double triple angle formulas
  1015.    wt: 11:   16 Right Triangle Complementary Angle Relations
  1016.    wt: 11:   13 Graph of tangent function many periods
  1017.    wt: 11:   10 Graphs of sines and cosines many periods
  1018.    wt: 11:   9 Graphs of sine and cosine over one period
  1019.    wt: 11:   7 period of sine and cosine
  1020.    wt: 11:   Unit Circle Development of Trigonometry
  1021.    wt: 11:   6 Intersection of lines by solving linear systems
  1022.    wt: 11:   1 Numerical view of lines and their equations
  1023.    wt: 11:   13 Pythagorean spatial distance formulas
  1024.    wt: 11:   6 Polar Multiplication and Rotation
  1025.    wt: 11:   5 Cartesian Addition and Translation
  1026.    wt: 11:   2 Cartesian Coordinates with signs
  1027.    wt: 11:   18 Triangle Similarity Take 1
  1028.    wt: 11:   17 Right Bisectors of Triangle Sides
  1029.    wt: 11:   13 Angle Side Angle Failure
  1030.    wt: 11:   6 Figuring with Maps Not to Scale
  1031.    wt: 11:   5 Drawing to Scale Avoids Angle Distortions
  1032.    wt: 11:   2 Combing Counts Addition Skills and Principles
  1033.    wt: 11:   5 Gaussian Elimination for 3 unknowns 2nd example
  1034.    wt: 11:   4 GE III Animated Examples
  1035.    wt: 11:   13 GCD from given Prime Factorization
  1036.    wt: 11:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1037.    wt: 11:   10 dividing signed numbers
  1038.    wt: 11:   7 negative and additive inverse
  1039.    wt: 11:   4 signed coordinates for regions in space
  1040.    wt: 11:   7 Converting or Changing Units
  1041.    wt: 11:   4 Fractions with Units
  1042.    wt: 11:   3 Multiplying Units and Numbers
  1043.    wt: 11:   A Similarities between Fractions and Two Term Ratios
  1044.    wt: 11:   11 Simplification an Algebraic View
  1045.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  1046.    wt: 11:   6 Multiplication Algebraically Take II
  1047.    wt: 11:   13 Subtraction with Additive Inverse
  1048.    wt: 11:   20 Uniqueness of Prime Factorization
  1049.    wt: 11:   17 Identify and Count Factors using Primes
  1050.    wt: 11:   16 video Factors of 980 using prime
  1051.    wt: 11:   14 video Factors of 24 Take II
  1052.    wt: 11:   B Powers of Ten
  1053.    wt: 11:   2 Subtraction Easy Case Examples
  1054.    wt: 11:   5. How to add decimals C. Examples
  1055.    wt: 11:   012 Division of Time Intervals by Time Intervals
  1056.    wt: 11:   12 Limits with Parameters and Derivatives Take I
  1057.    wt: 11:   9 Limits Continuity and Composition
  1058.    wt: 11:   6 Measuring via counting or arithmetic the role of fractions
  1059.    wt: 10:   7 logic review and decimals an odd combination
  1060.    wt: 10:   fairness and inductive principles for instruction
  1061.    wt: 10:   5 Polynomials Long division Nonlinear divisor
  1062.    wt: 10:   4 Polynomials Long division linear divisor
  1063.    wt: 10:   11 arctan left inverse of tangent Graph
  1064.    wt: 10:   6 Graph of arccos function
  1065.    wt: 10:   2 Radian Measure Numerical Value of one degree
  1066.    wt: 10:   1 Degrees and Radians Introduction
  1067.    wt: 10:   12 From Applied To Pure Mathematics
  1068.    wt: 10:   10 Parallelogram Addition Method
  1069.    wt: 10:   2 Signed Coordinates
  1070.    wt: 10:   1 Unsigned Coordinates
  1071.    wt: 10:   4 graphing y=Asin(x c)
  1072.    wt: 10:   Proportionality of Line Segments From Parallel Transversals
  1073.    wt: 10:   Parallel Lines and Alternating Corresponding Angles
  1074.    wt: 10:   Parallel Lines and Interior Angles
  1075.    wt: 10:   4 Tangent Function Properties
  1076.    wt: 10:   1 Straight Lines Slope Concept
  1077.    wt: 10:   26 Formulas for products of sines and cosines
  1078.    wt: 10:   23 sine and cosine of 180 plus 22.5 degrees
  1079.    wt: 10:   22 sine of 22.5 degrees via half angle formulas
  1080.    wt: 10:   21 sine and cosine Half Angle Formulas
  1081.    wt: 10:   20 sine and cosine Double Angle Formulas
  1082.    wt: 10:   14 cosine even and sine and tangent are odd
  1083.    wt: 10:   12 Graph of tangent function for one period
  1084.    wt: 10:   8 period of tangent function
  1085.    wt: 10:   6 sines and cosines for reference angle 30 degrees
  1086.    wt: 10:   5 sines and cosines for reference angle 60 degrees
  1087.    wt: 10:   4 sines and cosines for reference angle 45 degrees
  1088.    wt: 10:   3 sines and cosines for reference angle 90 degrees
  1089.    wt: 10:   9 Midpoint Coordinates Half Endpoint Sum
  1090.    wt: 10:   11 Triangle Inequality
  1091.    wt: 10:   8 Distance Between Points on a Line
  1092.    wt: 10:   1 Cartesian Coordinates sans signs
  1093.    wt: 10:   PS H Distributive Law For Complex Numbers
  1094.    wt: 10:   12 Side Angle Side Failure
  1095.    wt: 10:   11 Triangle Construction Fails
  1096.    wt: 10:   10 Dropping a perpendicular to line
  1097.    wt: 10:   9 Construction of a right bisector
  1098.    wt: 10:   4 Side Side Side
  1099.    wt: 10:   1 Initial Concepts and Terms
  1100.    wt: 10:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  1101.    wt: 10:   9 Division with Digits after Decimal Point
  1102.    wt: 10:   7 Arithmetic with Infinite Decimal Expansions
  1103.    wt: 10:   2 Counting Digits in Decimal Multiplication
  1104.    wt: 10:   2 Addition and Multiplication Axioms
  1105.    wt: 10:   2 GE II Comparison
  1106.    wt: 10:   10 Euclid Algorithm with 129 125 and with 45 14
  1107.    wt: 10:   5 Common Divisors 60 45 via Prime
  1108.    wt: 10:   2 Least Common Multiple LCM intro via list method
  1109.    wt: 10:   5 Counting with Tables Trees Product Rule Take II
  1110.    wt: 10:   3 Counting with Tables and Trees II
  1111.    wt: 10:   8 multiplying signed numbers
  1112.    wt: 10:   3 signed coordinates for maps and planes
  1113.    wt: 10:   2 signed and unsigned numbers as coordinates
  1114.    wt: 10:   2 Equality and Units
  1115.    wt: 10:   16 Addition Subtraction Comparision Compared
  1116.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  1117.    wt: 10:   14 Adding and Subtracting with Like Denominators
  1118.    wt: 10:   13 Fraction Comparison Algebraic View
  1119.    wt: 10:   2 Unit Fraction Multiplication
  1120.    wt: 10:   B Integer Long Division Multiple Choices
  1121.    wt: 10:   5 Prime Factorization and a Square Rule
  1122.    wt: 10:   1 video how Products are bigger than factor
  1123.    wt: 10:   3 Harder Cases Convert to Compare and Subtract
  1124.    wt: 10:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  1125.    wt: 10:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  1126.    wt: 10:   2 Groups of Three Place Value for Multidigit Decimals
  1127.    wt: 10:   8 Addition of Time Intervals via subtotaling
  1128.    wt: 10:   3 Motivation for Limit Definition Take 2
  1129.    wt: 10:   2 Motivation for Limit Definition Take 1
  1130.    wt: 10:   11 Limits at infinity Three Examples
  1131.    wt: 10:   7 Evaluation by immediate or delayed substitution
  1132.    wt: 10:   G.4 Lipschitz Continuity implies EquiContinuity
  1133.    wt: 10:   Primary and Secondary Skills and Practices with Take Home Value
  1134.    wt: 10:   7 Games and Activities for Instruction
  1135.    wt: 10:   5 Interpreting and Drawing Maps and Plans.
  1136.    wt: 10:   1 From Number Recognition and Counting to Arithmetic B
  1137.    wt: 10:   1 From Number Recognition and Counting to Arithmetic A
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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