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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

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:   12 Function Translating and Rescaling/
  5.    wt: 8:   9 Lines and Slopes Take 2 with tangent function/
  6.    wt: 8:   8 Unit Circle Trigonometry/
  7.    wt: 8:   7 Arithmetic and Fractions with Units/
  8.    wt: 7:   14 Degrees to Radians and Radians to Degrees/
  9.    wt: 7:   11 Parallel Straight Lines and Transversals/
  10.    wt: 7:   6 Trigonometry first steps/
  11.    wt: 7:   3 Cartesian and Polar Coordinates/
  12.    wt: 7:   2 Euclidean Geometry Constructions Theory extras/
  13.    wt: 7:   1 Maps Plans Measurement/
  14.    wt: 7:   Step 4 Gaussian Elimination/
  15.    wt: 7:   8 Arithmetic with Signed Numbers/
  16.    wt: 7:   3 Prime Factorization Skills/
  17.    wt: 7:   2 Arithmetic with Decimals/
  18.    wt: 6:   13 Vectors/
  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:   PreSchool and Primary Mathematics or Quantitative Skills/
  31.    wt: 4:   Direct Current Electric Circuits/
  32.    wt: 4:   5 Factored Polynomial Sign Analysis Examples/
  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: 4:   13 Lessons on Limits and Continuity/
  39.    wt: 3:   LAMP Lean Applied Mathematics Program/
  40.    wt: 3:   Mathematics Education Essays/
  41.    wt: 3:   1 Five Polynomial Operations/
  42.    wt: 3:   10 Examples of Algebraic Reasoning/
  43.    wt: 3:   4 Computation Rules and Function Notation/
  44.    wt: 3:   3 Solving Linear Equations/
  45.    wt: 3:   11 Squares and Square Roots/
  46.    wt: 3:   Arithmetic and Number Theory Skills/
  47.    wt: 3:   Time Date Matters/
  48.    wt: 3:   4 Lessons on Using Derivatives/
  49.    wt: 3:   38 Lessons on Calculating Derivatives/
  50.    wt: 2:   Mathematics Skills Year by Year/
  51.    wt: 2:   3 Quadratics Geometrically/
  52.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  53.    wt: 2:   B Real Numbers Extrinsic Development/
  54.    wt: 2:   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

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

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.