Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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. Reform: look before you leap - plan all in detail first.

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

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  1.    wt: 8:   15 Arc or Inverse Trigonometric Function/
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  7.    wt: 7:   9 Lines and Slopes Take 2 with tangent function/
  8.    wt: 7:   6 Trigonometry first steps/
  9.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  10.    wt: 6:   11 Parallel Straight Lines and Transversals/
  11.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  12.    wt: 6:   7 Complex Numbers/
  13.    wt: 6:   5 What is Similarity/
  14.    wt: 6:   4 Lines and Slopes Take 1/
  15.    wt: 6:   3 Cartesian and Polar Coordinates/
  16.    wt: 6:   Step 2 Algebraic solutions for one unknown/
  17.    wt: 6:   12 Webvideo Lessons on Area and Volume Calculation/
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  21.    wt: 5:   4 Computation Rules and Function Notation/
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  23.    wt: 5:   Step 1 Stick diagram and fractions/
  24.    wt: 5:   4 Lessons on Using Derivatives/
  25.    wt: 5:   38 Lessons on Calculating Derivatives/
  26.    wt: 4:   Step 3 Easy systems in 2 or more unknowns/
  27.    wt: 4:   D Decimal Long Division Methods/
  28.    wt: 3:   4 Functions/
  29.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  30.    wt: 3:   1 Five Polynomial Operations/
  31.    wt: 3:   9 Proportionality Backwards and Forwards/
  32.    wt: 3:   8 Unifying Theme For Algebra/
  33.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  34.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  35.    wt: 3:   3 Solving Linear Equations/
  36.    wt: 3:   2 Formula Forward Use Evaluation/
  37.    wt: 3:   C Decimal Multiplication Methods/
  38.    wt: 3:   Time Date Matters/
  39.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  40.    wt: 2:   Mathematics Education Essays/
  41.    wt: 2:   Volume 1A Regles et modeles/
  42.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  43.    wt: 2:   3 Quadratics Geometrically/
  44.    wt: 2:   B Real Numbers Extrinsic Development/
  45.    wt: 2:   A Origins of Counting and Figuring Methods/
  46.    wt: 2:   10 Examples of Algebraic Reasoning/
  47.    wt: 2:   5 Real Numbers/
  48.    wt: 2:   1 Working With Sets/
  49.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  50.    wt: 2:   8 Arithmetic with Signed Numbers/
  51.    wt: 2:   7 Arithmetic and Fractions with Units/
  52.    wt: 2:   6 Fractions and Ratios/
  53.    wt: 2:   3 Prime Factorization Skills/
  54.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  55.    wt: 2:   A Decimal Counting and Adding Methods/
  56.    wt: 2:   70 Calculus Starter Lessons/
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  59.    wt: 1:   LAMP Lean Applied Mathematics Program/
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  67.    wt: 1:   11 Squares and Square Roots/
  68.    wt: 1:   9 Combinatorics Trees Tables and Products/
  69.    wt: 1:   5 Integers/
  70.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  71.    wt: 1:   2 Arithmetic with Decimals/
  72.    wt: 1:   1 Decimal Place Value/
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  74.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  75.    wt: 1:   Volume 1A Pattern Based Reason/
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  1.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  2.    wt: 4:   7 Translations Rotations Reflections Dilatations
  3.    wt: 3:   H LAMP Introduction Instructional Concepts
  4.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  5.    wt: 3:   26 Function definitions done and coming
  6.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  7.    wt: 3:   14 Surjections Injections Bijections
  8.    wt: 3:   13 From one to one to many to one
  9.    wt: 3:   5 Function notation for geometric transformations
  10.    wt: 3:   4 Function notation in and beyond mathematics
  11.    wt: 3:   1 Geometric Introduction of Function Notation
  12.    wt: 3:   4 Polynomials Long division linear divisor
  13.    wt: 3:   3 Polynomials Multiplication Addition
  14.    wt: 3:   Rewriting algebraic substitution as function substitutions
  15.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  16.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  17.    wt: 3:   30 unit circle calculation of six trigonometric functions
  18.    wt: 3:   4 Angles on Maps Plans drawn to scale
  19.    wt: 3:   3 Lengths and Areas on Maps and Plans
  20.    wt: 3:   8 Division and Mulplication of Compound Fractions
  21.    wt: 3:   3 GE III Equation Addition and Multiplication
  22.    wt: 3:   16 Addition Subtraction Comparision Compared
  23.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  24.    wt: 3:   Subtraction with J Conversions Example
  25.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  26.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  27.    wt: 3:   6 How long is a million seconds
  28.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  29.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  30.    wt: 2:   links Education Resources online
  31.    wt: 2:   About site lesson plans
  32.    wt: 2:   Education Reform Inconsistencies
  33.    wt: 2:   Maps Plans Drawings
  34.    wt: 2:   Secondary One Mathematics
  35.    wt: 2:   Four ways to improve education reform
  36.    wt: 2:   Motivation and Context Problem
  37.    wt: 2:   chapitre 12 00 les iles et division
  38.    wt: 2:   chapitre 06 00 Chaines de la raison
  39.    wt: 2:   chapitre 05 00 Deception
  40.    wt: 2:   chapitre 04 08 Limitations et benefices
  41.    wt: 2:   chapitre 04 05 Implication versus suggestion
  42.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  43.    wt: 2:   chapitre 04 00 Les regles d implication
  44.    wt: 2:   chapitre 02 00 La Communication des idees
  45.    wt: 2:   chapitre 01 00 Introduction
  46.    wt: 2:   C Electromotive force conventional current02
  47.    wt: 2:   B Electromotive force conventional current01
  48.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  49.    wt: 2:   13 Addition and Addition Tables
  50.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  51.    wt: 2:   17 Function maxima minima and their location
  52.    wt: 2:   12 Function Domain Recognition Exercises
  53.    wt: 2:   8 Set view of relations and functions
  54.    wt: 2:   6 Set Existence Formation and Notation
  55.    wt: 2:   2 Algebraic use of function notation
  56.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  57.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  58.    wt: 2:   16 cotangent function Definition Graph and Inverse
  59.    wt: 2:   15 cosecant function Definition Graph and Inverse
  60.    wt: 2:   14 secant function Definition Graph and Inverse
  61.    wt: 2:   13 cosecant function Definition Graph and Inverse
  62.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  63.    wt: 2:   3 Navigation with Arrows or Vectors
  64.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  65.    wt: 2:   Straight Lines Instersection Solving Equations
  66.    wt: 2:   7 Tangent Function is odd on this domain
  67.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  68.    wt: 2:   25 tangent double angle formula Slope connection
  69.    wt: 2:   12 Graph of tangent function for one period
  70.    wt: 2:   1 Unit Points Reflections Rotations
  71.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  72.    wt: 2:   6 Polar Multiplication and Rotation
  73.    wt: 2:   5 Cartesian Addition and Translation
  74.    wt: 2:   PS G Rotation Distributes over Addition
  75.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  76.    wt: 2:   PS B Parallelogram Construction Methods
  77.    wt: 2:   PS A Kite Construction Methods
  78.    wt: 2:   11 Triangle Construction Fails
  79.    wt: 2:   9 Construction of a right bisector
  80.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  81.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  82.    wt: 2:   11 Signed Number Addition and Addition Properties
  83.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  84.    wt: 2:   4 Location of Point in Decimal Addition
  85.    wt: 2:   3 Location of Point in Decimal Multiplication
  86.    wt: 2:   1 Fractions with Finite Decimal Expansions
  87.    wt: 2:   E Long Division Methods more
  88.    wt: 2:   D Long Division Methods
  89.    wt: 2:   B Decimal Comparison and Subtraction
  90.    wt: 2:   4 Fraction Operations Axiomatic Development
  91.    wt: 2:   2 Fraction Operations Physical Development
  92.    wt: 2:   5 Proportionality in Equivalent Fractions
  93.    wt: 2:   3 Linear Equation Literal Solution More
  94.    wt: 2:   2 Linear Equation Literal Solution
  95.    wt: 2:   4 Subtraction and Division Axioms
  96.    wt: 2:   2 Addition and Multiplication Axioms
  97.    wt: 2:   3 Geometric Formulas and Function Notation
  98.    wt: 2:   2 Computation Rules Evaluation
  99.    wt: 2:   1 Formulas Dependence and Function Notation
  100.    wt: 2:   1 GE Substitution four examples
  101.    wt: 2:   2 Essentially one exercises three with solution
  102.    wt: 2:   5 Algebraic Solutions Introduction
  103.    wt: 2:   4 Four Examples Fractional Coefficients
  104.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  105.    wt: 2:   7 Cautious or Safe Set Construction
  106.    wt: 2:   1 Least Common Multiples LCM Introduction
  107.    wt: 2:   6 Simplification of Fractions with Units
  108.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  109.    wt: 2:   1 Addition and Subtraction with Units
  110.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  111.    wt: 2:   13 Fraction Comparison Algebraic View
  112.    wt: 2:   12 Fraction Comparison
  113.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  114.    wt: 2:   4 Fraction Multiplication
  115.    wt: 2:   3 Unit fraction of a fraction
  116.    wt: 2:   2 Unit Fraction Multiplication
  117.    wt: 2:   B Integer Long Division Multiple Choices
  118.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  119.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  120.    wt: 2:   4 video Prime Factorization Introduction
  121.    wt: 2:   Long Division Backwards more
  122.    wt: 2:   Long Division Backward
  123.    wt: 2:   Long Division forwards and backwards Example 3
  124.    wt: 2:   Long Division forwards and backwards Example 2
  125.    wt: 2:   Long Division forwards and backwards Example 1
  126.    wt: 2:   12 Why Long Division Works Take III
  127.    wt: 2:   10 Division by Five Long and Short Ways
  128.    wt: 2:   9 Why Long Division Works Take II
  129.    wt: 2:   7 Long Divison Mistake Catching
  130.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  131.    wt: 2:   5 Long Division Include Zeroes or not
  132.    wt: 2:   5 Decimal Fraction Multiplication
  133.    wt: 2:   Video Power Notation in Decimal Expansion
  134.    wt: 2:   Subtraction Another Video Lesson
  135.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  136.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  137.    wt: 2:   4. How to add with decimals B with conversions
  138.    wt: 2:   3. How to add with decimals A sans conversions
  139.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  140.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  141.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  142.    wt: 2:   Expression Evaluation how to show work
  143.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  144.    wt: 2:   5 Conversion Arithmetic
  145.    wt: 2:   Volume of Solid by Cross Sections Lesson
  146.    wt: 2:   34 Derivative of exponential function
  147.    wt: 2:   8 Differentiation of polynomials
  148.    wt: 2:   3 Motivation for Limit Definition Take 2
  149.    wt: 2:   2 Motivation for Limit Definition Take 1
  150.    wt: 2:   9 Limits Continuity and Composition
  151.    wt: 2:   7 Evaluation by immediate or delayed substitution
  152.    wt: 2:   3 Decimal insights for limits continuity convergence
  153.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  154.    wt: 2:   F.1 What Functions are Continuous
  155.    wt: 2:   D2 Limits of Monotone Sequences
  156.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  157.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  158.    wt: 2:   Chapter 4 Longer Chains of Reason
  159.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  160.    wt: 2:   Postscript C Consistency as a Tool for Reason
  161.    wt: 2:   Postscript B More on Story Telling and Reason
  162.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  163.    wt: 2:   Chapter 7 Longer Chains of Reason
  164.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  165.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  166.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  167.    wt: 1:   K LAMP Musings Science Education
  168.    wt: 1:   J LAMP Introduction Extrinsic Origins
  169.    wt: 1:   I LAMP Introduction Study Habits
  170.    wt: 1:   G LAMP Introduction Problem Solving Skills
  171.    wt: 1:   F LAMP Introduction Prerequisites
  172.    wt: 1:   E LAMP Introduction Modern Mathematics
  173.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  174.    wt: 1:   A Introduction Objectives
  175.    wt: 1:   Ramblings Introduction Algebra Essay
  176.    wt: 1:   Skills Chapter 0 Introduction
  177.    wt: 1:   7 logic review and decimals an odd combination
  178.    wt: 1:   6 polynomials etc
  179.    wt: 1:   5 logarithms and exponentials etc
  180.    wt: 1:   permissions for teachers
  181.    wt: 1:   Applied Maths Program14092009 POMME variant
  182.    wt: 1:   Mathematics Education Professors
  183.    wt: 1:   teacher certification
  184.    wt: 1:   modern education
  185.    wt: 1:   mathematics in context
  186.    wt: 1:   Postscript 2007 01 10
  187.    wt: 1:   Secondary Three Mathematics
  188.    wt: 1:   Secondary Two Mathematics
  189.    wt: 1:   geometric implications for algebra
  190.    wt: 1:   teaching tutoring algebraic reason
  191.    wt: 1:   three goals for Mathematics Education
  192.    wt: 1:   02 20 mathematics education references
  193.    wt: 1:   Operational Viewpoint to Value
  194.    wt: 1:   mathematics instruction in general
  195.    wt: 1:   Education in mathematics science and technology
  196.    wt: 1:   Different Kinds of Reasoning in maths
  197.    wt: 1:   three kinds of reason in mathematics
  198.    wt: 1:   education an empirical art
  199.    wt: 1:   fairness and inductive principles for instruction
  200.    wt: 1:   chapitre 07 01 principle D induction mathematique
  201.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  202.    wt: 1:   chapitre 04 04 Parlons de la logique
  203.    wt: 1:   problemes responses
  204.    wt: 1:   Trois Notions qui menent a algebre
  205.    wt: 1:   deux definitions pour variable
  206.    wt: 1:   3 Energy Power Heat08
  207.    wt: 1:   2 Conductance Resistance Duality02
  208.    wt: 1:   1 Conductance Resistance Duality01
  209.    wt: 1:   F Wire Resistance Calculation04
  210.    wt: 1:   E Wire Resistance Calculation03
  211.    wt: 1:   D Wire Resistance Calculation02
  212.    wt: 1:   C Wire Resistance Calculation01
  213.    wt: 1:   E Kirchoffs Second Law
  214.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  215.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  216.    wt: 1:   16 Secondary Mathematics Tips
  217.    wt: 1:   14 Multiplication and Times Tables
  218.    wt: 1:   11 Help and Defend Your Child or Teens Education
  219.    wt: 1:   10 Ends values for work study instruction
  220.    wt: 1:   9 Streaming by Student Cooperation
  221.    wt: 1:   7 Student Motivation
  222.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  223.    wt: 1:   sign monoticity analysis example 4
  224.    wt: 1:   sign monoticity analysis example 3
  225.    wt: 1:   sign monoticity analysis example 2
  226.    wt: 1:   sign monoticity analysis example 1
  227.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  228.    wt: 1:   23 Inverse Functions
  229.    wt: 1:   22 Square Root function graphically
  230.    wt: 1:   20 Interchanging coordinates a reflection
  231.    wt: 1:   19 Horizontal line rule and method
  232.    wt: 1:   16 Increasing or decreasing on intervals
  233.    wt: 1:   15 Sign analysis of functions
  234.    wt: 1:   11 Function Domain Range Source and Targets
  235.    wt: 1:   10 Interval Notation
  236.    wt: 1:   9 Set theory term relation possible origins
  237.    wt: 1:   7 Functions with finite domains
  238.    wt: 1:   3 Formula or function graphing exercise
  239.    wt: 1:   Introduction Reading Guide
  240.    wt: 1:   9 quadratics physical and further context
  241.    wt: 1:   7 quadratic formulla derivation
  242.    wt: 1:   3 quadratics factoring by inspection
  243.    wt: 1:   10 Exponential Growth and Decay Models
  244.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  245.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  246.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  247.    wt: 1:   2 Square Root Simplification a prequel
  248.    wt: 1:   7 Links Lessons Elsewhere
  249.    wt: 1:   2 Column Multiplication Method
  250.    wt: 1:   1 Polynomials Distributive Law
  251.    wt: 1:   12 motivation for term arctan
  252.    wt: 1:   10 arctan left inverse of tangent Definition
  253.    wt: 1:   9 motivation for name arcsin
  254.    wt: 1:   7 arcsin left inverse of sine Definition
  255.    wt: 1:   6 Graph of arccos function
  256.    wt: 1:   5 Swapping Coordinates is a reflection
  257.    wt: 1:   4 possible motivation for term arccos
  258.    wt: 1:   3 Left Inverse of cosine arccos definition
  259.    wt: 1:   2 cosine function more properties
  260.    wt: 1:   1 cosine function properties
  261.    wt: 1:   8 Radian Measures of Common Angles
  262.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  263.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  264.    wt: 1:   2 Radian Measure Numerical Value of one degree
  265.    wt: 1:   1 Degrees and Radians Introduction
  266.    wt: 1:   A Global Time and Navigation
  267.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  268.    wt: 1:   13 Velocity Vectors in Physics
  269.    wt: 1:   11 Component Method
  270.    wt: 1:   10 Parallelogram Addition Method
  271.    wt: 1:   8 Parallel Vectors
  272.    wt: 1:   6 Vectors with Coordinates
  273.    wt: 1:   5 Head To Tail Arrow Addition
  274.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  275.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  276.    wt: 1:   Straight Lines ASA Intersection Study More
  277.    wt: 1:   Straight Lines ASA Intersection Study
  278.    wt: 1:   Straight Lines Intersection of
  279.    wt: 1:   14 Straight Lines Equations General Case
  280.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  281.    wt: 1:   10 Straight Lines through Origin Equations More
  282.    wt: 1:   9 Straight Lines through Origin Equations
  283.    wt: 1:   8 Straight Lines Equation for vertical
  284.    wt: 1:   5 Tangent Function Graph
  285.    wt: 1:   4 Tangent Function Properties
  286.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  287.    wt: 1:   1 Straight Lines Slope Concept
  288.    wt: 1:   17 tangent function angle sum formulas
  289.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  290.    wt: 1:   17G Pythagorean Theorem Converse
  291.    wt: 1:   17A The complex number valued trig function cis
  292.    wt: 1:   16 Right Triangle Complementary Angle Relations
  293.    wt: 1:   15 sine cosine Complementary Angle Relations
  294.    wt: 1:   13 Graph of tangent function many periods
  295.    wt: 1:   11 tangent function undefined when terminal side vertical
  296.    wt: 1:   9 Graphs of sine and cosine over one period
  297.    wt: 1:   8 period of tangent function
  298.    wt: 1:   Unit Circle Development of Trigonometry
  299.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  300.    wt: 1:   21 Logarithms Powers and Exponentials
  301.    wt: 1:   16 References and Originality Question
  302.    wt: 1:   15 Pythagorean Theorem Converse
  303.    wt: 1:   9 The complex number valued trig function cis
  304.    wt: 1:   8 Unit Circle Development of Trigonometry
  305.    wt: 1:   7 Second Way to Calculate Products
  306.    wt: 1:   4 Multiplication Properties
  307.    wt: 1:   3 Addition Properties
  308.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  309.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  310.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  311.    wt: 1:   3 Trigonometric Ratios sine and cosine
  312.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  313.    wt: 1:   Why Trigonometry the whyslopes view
  314.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  315.    wt: 1:   8 Similarity of Triangles and Polygons
  316.    wt: 1:   4 Similarity Definition with Coordinate
  317.    wt: 1:   1 Early Concept of Like or Similar Shapes
  318.    wt: 1:   Four Simple Exercises
  319.    wt: 1:   12 Links Lessons elsewhere
  320.    wt: 1:   7 Exercises to test skill and concept mastery
  321.    wt: 1:   6 Intersection of lines by solving linear systems
  322.    wt: 1:   4 Equations for lines three forms
  323.    wt: 1:   2 point slope equation for a line
  324.    wt: 1:   1 Numerical view of lines and their equations
  325.    wt: 1:   8 Distance Between Points on a Line
  326.    wt: 1:   PS E Multiplication with Polar Coordinates
  327.    wt: 1:   PS D Addition with Cartesian Coordinates
  328.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  329.    wt: 1:   6 Ruler and compass Angle Bisection
  330.    wt: 1:   3 Isometry of Triangles Congruence
  331.    wt: 1:   2 Correspondence between Triangles
  332.    wt: 1:   1 Initial Concepts and Terms
  333.    wt: 1:   Short Course on Euclidean Geometry
  334.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  335.    wt: 1:   6 Figuring with Maps Not to Scale
  336.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  337.    wt: 1:   About Folder Contents
  338.    wt: 1:   26 More Less Greater Than Comparison
  339.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  340.    wt: 1:   23 Distributive Law Two Derivations
  341.    wt: 1:   22 Multiplication of Signed Numbers
  342.    wt: 1:   21 Addition of Multiples of a Single Vector
  343.    wt: 1:   19 Signed Multiples of Vectors
  344.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  345.    wt: 1:   15 Head to Tails in place Addition Associative
  346.    wt: 1:   13 Arrows and Vectors in a Plane
  347.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  348.    wt: 1:   9 Division with Digits after Decimal Point
  349.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  350.    wt: 1:   2 Counting Digits in Decimal Multiplication
  351.    wt: 1:   C Three Decimal Subtraction Methods
  352.    wt: 1:   A Decimal Addition Columm Methods
  353.    wt: 1:   8 Column Multiplication Methods in General
  354.    wt: 1:   7 Decimals Multiplication Methods Examples
  355.    wt: 1:   6 Column Methods for Decimal Multiplication
  356.    wt: 1:   2 Combing Counts Addition Skills and Principles
  357.    wt: 1:   4 Rates Ratios and Proporitionality
  358.    wt: 1:   3 Proportionality Examples
  359.    wt: 1:   1 What is Proportionality
  360.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  361.    wt: 1:   1 Changing Calculations
  362.    wt: 1:   6 Equations and Systems Equivalent or Implied
  363.    wt: 1:   1 Equivalent Computation Rules
  364.    wt: 1:   4 Comparison of Negative Numbers
  365.    wt: 1:   1 Real Numbers Comparison
  366.    wt: 1:   16 Real Numbers Comparison
  367.    wt: 1:   15 Real Number Division
  368.    wt: 1:   14 Real Number Multiplication
  369.    wt: 1:   13 Real Number Subtraction
  370.    wt: 1:   11 Real Number Addition
  371.    wt: 1:   9 Coordinates for Regions in Space
  372.    wt: 1:   8 Coordinates for Maps and Planes
  373.    wt: 1:   5 Rational Numbers More
  374.    wt: 1:   4 Rational Numbers
  375.    wt: 1:   3 Fractions
  376.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  377.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  378.    wt: 1:   2 GE II Comparison
  379.    wt: 1:   1 Essentially One Unknown
  380.    wt: 1:   6 Algebraic Solution Example
  381.    wt: 1:   3 Four Examples
  382.    wt: 1:   10 One Example
  383.    wt: 1:   8 One Example
  384.    wt: 1:   9 Volume of Cone
  385.    wt: 1:   8 Compound Interest Formula Evaluation
  386.    wt: 1:   7 Compound Interest Formula Introduction
  387.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  388.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  389.    wt: 1:   6 Power Set Notation
  390.    wt: 1:   5 Product Builder Notation
  391.    wt: 1:   4 Subset Builder Notation
  392.    wt: 1:   6 Three Notions of What is a Variable
  393.    wt: 1:   About Folder Contents
  394.    wt: 1:   3 Comparison of Negative Numbers
  395.    wt: 1:   1 Squares and Square Roots Introduction
  396.    wt: 1:   13 GCD from given Prime Factorization
  397.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  398.    wt: 1:   7 GCD and LCM from prime factorization
  399.    wt: 1:   5 Common Divisors 60 45 via Prime
  400.    wt: 1:   2 Least Common Multiple LCM intro via list method
  401.    wt: 1:   12 GCD 2700 288 via Prime
  402.    wt: 1:   4 signed coordinates for regions in space
  403.    wt: 1:   3 signed coordinates for maps and planes
  404.    wt: 1:   7 Converting or Changing Units
  405.    wt: 1:   4 Fractions with Units
  406.    wt: 1:   B Fractions and Two Term Ratios
  407.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  408.    wt: 1:   22 Complex Compound Fractions
  409.    wt: 1:   21 Reciprocals for Fractions and Wholes
  410.    wt: 1:   20 Dividing Fractions the Why
  411.    wt: 1:   19 Dividing Fractions How TO
  412.    wt: 1:   11 Simplification an Algebraic View
  413.    wt: 1:   9 Improper Fractions and Mixed Numbers
  414.    wt: 1:   8 Numerals Fractionals Quantals Take II
  415.    wt: 1:   7 Numerals Fractionals Quantals
  416.    wt: 1:   6 Multiplication of Mixed Numbers
  417.    wt: 1:   6 Multiplication Algebraically Take II
  418.    wt: 1:   5 Equivalent Fractions
  419.    wt: 1:   1 What is a fraction Take II
  420.    wt: 1:   1 What is a fraction
  421.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  422.    wt: 1:   13 Subtraction with Additive Inverse
  423.    wt: 1:   10 Integer Multiplication Formulas
  424.    wt: 1:   8 Multiplication by Signed Numbers Integers
  425.    wt: 1:   7 Multiplication by Signs
  426.    wt: 1:   6 Multiplication by Natural Numbers
  427.    wt: 1:   4 Adding Movements wiht opposite directions
  428.    wt: 1:   3 Adding Movements with same direction
  429.    wt: 1:   20 Uniqueness of Prime Factorization
  430.    wt: 1:   19 video Prime Factorization Unique
  431.    wt: 1:   18 video Count Factors given Prime Factorization
  432.    wt: 1:   15 video Factors of 20 using Prime Factorization
  433.    wt: 1:   10 video Prime Factorization upto 23 squared
  434.    wt: 1:   9 video Prime Factorization upto 19 squared
  435.    wt: 1:   8 video Prime Factorization upto 19
  436.    wt: 1:   7 Calculator Usage Notes and Cautions
  437.    wt: 1:   5 Prime Factorization and a Square Rule
  438.    wt: 1:   Division with Counts and Length
  439.    wt: 1:   4 Division with 2 Digit Divsors
  440.    wt: 1:   3 Division Single Digit Divisor Example
  441.    wt: 1:   2 Division with Single Digit Divisors
  442.    wt: 1:   1 Divsion Physical Examples
  443.    wt: 1:   D Decimal Multiplication Methods Derived
  444.    wt: 1:   A Elementary Basis for Multiplication Methods
  445.    wt: 1:   6 Multiplication Commutes Order Not Important
  446.    wt: 1:   3 More One Digit Multipliers
  447.    wt: 1:   2 One Digit Multipliers
  448.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  449.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  450.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  451.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  452.    wt: 1:   9 22 Minute Subtraction Review Video
  453.    wt: 1:   8 Subtraction with Units of Measure
  454.    wt: 1:   5 A Tip for Efficent Subtraction
  455.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  456.    wt: 1:   2 Subtraction Easy Case Examples
  457.    wt: 1:   7 Adding decimal fractions using decimal point
  458.    wt: 1:   1. Explaining Addition Table
  459.    wt: 1:   11 Place Value SI Standard International way
  460.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  461.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  462.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  463.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  464.    wt: 1:   Exact Arithmetic Wholes and Fractions
  465.    wt: 1:   Formula Evaluation how to show work
  466.    wt: 1:   About folder contents
  467.    wt: 1:   012 Division of Time Intervals by Time Intervals
  468.    wt: 1:   011 Division of Time Intervals By Numbers
  469.    wt: 1:   010 Repeated Addition of Time Intervals
  470.    wt: 1:   8 Addition of Time Intervals via subtotaling
  471.    wt: 1:   7 Addition of Time Intervals
  472.    wt: 1:   Example 2 volume of a cone
  473.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  474.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  475.    wt: 1:   Example 4 with x function of y
  476.    wt: 1:   Area Between Curves Lesson Take 2
  477.    wt: 1:   Area Between Curves Lesson Take 1
  478.    wt: 1:   4 Definite Integrals Evaluation Exercises
  479.    wt: 1:   1 Chain Rule in Reverse Integration Method
  480.    wt: 1:   A Related lessons in Volume 3
  481.    wt: 1:   4 Second derivative test exercise example
  482.    wt: 1:   3 Second derivative test
  483.    wt: 1:   2 Second derivative test prequel
  484.    wt: 1:   31 Derivatives of inverse functions
  485.    wt: 1:   29 Chain Rule Optional Reading
  486.    wt: 1:   28 Chain Rule Preparation for a Proof
  487.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  488.    wt: 1:   26 Chain Rule Recognising outer inner functions
  489.    wt: 1:   25 Chain Rule Animated Examples Continued
  490.    wt: 1:   22 Chain Rule for polynomials
  491.    wt: 1:   19 Chain Rule for linear functions
  492.    wt: 1:   18 Chain Rule Introduction
  493.    wt: 1:   7 Animated Differentiation Examples
  494.    wt: 1:   10 Three one sided limits with infinite values
  495.    wt: 1:   8 Four Animated Examples
  496.    wt: 1:   6 Continuity at a point
  497.    wt: 1:   5 Jumps and absence of unlimited error control
  498.    wt: 1:   2 Algebraic codification
  499.    wt: 1:   1 Numerical introduction
  500.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  501.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  502.    wt: 1:   G.5 Motions With Bounded Velocities
  503.    wt: 1:   G.3 Constant Difference Theorem Proof
  504.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  505.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  506.    wt: 1:   F.5a Equicontinuity Theorems
  507.    wt: 1:   E1 Error Control Inequalities
  508.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  509.    wt: 1:   A1. Introduction
  510.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  511.    wt: 1:   Chapter 23 Links To Trigonometry
  512.    wt: 1:   Chapter 21 Arrow Addition
  513.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  514.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  515.    wt: 1:   Chapter 18. Slopes Areas Integration
  516.    wt: 1:   Chapter 17. Area Approximation
  517.    wt: 1:   Chapter 16. Velocity Approximation
  518.    wt: 1:   Chapter 15. Slope Approximation
  519.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  520.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  521.    wt: 1:   Chapter 13. Acceleration
  522.    wt: 1:   Chapter 11. Graphing Slope versus Position
  523.    wt: 1:   Chapter 8. Slope Interpretation
  524.    wt: 1:   Chapter 1.Introduction
  525.    wt: 1:   Postscript More on Better Performance
  526.    wt: 1:   Chapter 31 Direct and Indirect Reason
  527.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  528.    wt: 1:   Chapter 25. Mathematical Induction Examples
  529.    wt: 1:   Chapter 23. Notation For Sums
  530.    wt: 1:   Chapter 19. Functions and Sets
  531.    wt: 1:   Chapter 15. Solving Linear Equations
  532.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  533.    wt: 1:   Chapter 13. Second Reading Guide
  534.    wt: 1:   Chapter 10 Describing and Changing Calculations
  535.    wt: 1:   Solutions For Arithmetic Exercises
  536.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  537.    wt: 1:   Chapter 3 Chains of Reason
  538.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  539.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  540.    wt: 1:   Postscript B Mathematics Education References
  541.    wt: 1:   Chapter 12 Four Phases
  542.    wt: 1:   Chapter 11 Elementary Instruction
  543.    wt: 1:   Chapter 10 Transition
  544.    wt: 1:   Chapter 8 Modern Instruction
  545.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  546.    wt: 1:   Chapter 5 Four References
  547.    wt: 1:   Chapter 1 Introduction
  548.    wt: 1:   Chapter 24 Direct and Indirect Reason
  549.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  550.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  551.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  552.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  553.    wt: 1:   Chapter 10 Responsibility
  554.    wt: 1:   Chapter 6 Chains of Reason
  555.    wt: 1:   Chapter 5 Deception
  556.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  557.    wt: 1:   Chapter 1 Introduction
  558.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  559.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  560.    wt: 1:   O On Learning Mathematics and Science
  561.    wt: 1:   N Improving Marks on Tests and Finals
  562.    wt: 1:   J. More on written work and showing skill
  563.    wt: 1:   H more Routine to non routine problem solving
  564.    wt: 1:   D. Check work a must with a caution
  565.    wt: 1:   How to Build Skills and Confidence
  566.    wt: 1:   Chapter 3 Algebra Starter Lessons
  567.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  568.    wt: 1:   7 Games and Activities for Instruction
  569.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  570.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  571.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  572.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  573.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  574.    wt: 1:   Mathematics Education References
  575.    wt: 1:   Mathematics Education References
  576.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  577.    wt: 1:   Implementation Notes
  578.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  579.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  580.    wt: 1:   Mathematics Teacher Certification Best Practices
  581.    wt: 1:   Road Safety Questions
  582.    wt: 1:   The Math Forum and Site Content

Extended Search

1114 matches:

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

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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