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:   13 Lessons on Limits and Continuity/
  31.    wt: 5:   PreSchool and Primary Mathematics or Quantitative Skills/
  32.    wt: 4:   Direct Current Electric Circuits/
  33.    wt: 4:   7 Axioms Logic and Equivalent Equations/
  34.    wt: 4:   6 More Less Greater Than Inequalities and Comparison/
  35.    wt: 4:   Step 3 Easy systems in 2 or more unknowns/
  36.    wt: 4:   5 Integers/
  37.    wt: 4:   1 Decimal Place Value/
  38.    wt: 3:   LAMP Lean Applied Mathematics Program/
  39.    wt: 3:   Mathematics Education Essays/
  40.    wt: 3:   5 Factored Polynomial Sign Analysis Examples/
  41.    wt: 3:   1 Five Polynomial Operations/
  42.    wt: 3:   4 Computation Rules and Function Notation/
  43.    wt: 3:   3 Solving Linear Equations/
  44.    wt: 3:   11 Squares and Square Roots/
  45.    wt: 3:   Arithmetic and Number Theory Skills/
  46.    wt: 3:   Time Date Matters/
  47.    wt: 3:   4 Lessons on Using Derivatives/
  48.    wt: 3:   38 Lessons on Calculating Derivatives/
  49.    wt: 2:   Mathematics Skills Year by Year/
  50.    wt: 2:   3 Quadratics Geometrically/
  51.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  52.    wt: 2:   B Real Numbers Extrinsic Development/
  53.    wt: 2:   10 Examples of Algebraic Reasoning/
  54.    wt: 2:   9 Proportionality Backwards and Forwards/
  55.    wt: 2:   8 Unifying Theme For Algebra/
  56.    wt: 2:   1 Working With Sets/
  57.    wt: 2:   Skills with take home value/
  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

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