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.

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II


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

Welcome:Site 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.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 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.

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

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578 matches:

  1.    wt: 4:   Rewriting algebraic substitution as function substitutions
  2.    wt: 4:   7 Translations Rotations Reflections Dilatations
  3.    wt: 3:   H LAMP Introduction Instructional Concepts
  4.    wt: 3:   26 Function definitions done and coming
  5.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  6.    wt: 3:   14 Surjections Injections Bijections
  7.    wt: 3:   13 From one to one to many to one
  8.    wt: 3:   5 Function notation for geometric transformations
  9.    wt: 3:   4 Function notation in and beyond mathematics
  10.    wt: 3:   2 Algebraic use of function notation
  11.    wt: 3:   1 Geometric Introduction of Function Notation
  12.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  13.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  14.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  15.    wt: 3:   30 unit circle calculation of six trigonometric functions
  16.    wt: 3:   8 Division and Mulplication of Compound Fractions
  17.    wt: 3:   3 GE III Equation Addition and Multiplication
  18.    wt: 3:   5 Algebraic Solutions Introduction
  19.    wt: 3:   16 Addition Subtraction Comparision Compared
  20.    wt: 3:   13 Fraction Comparison Algebraic View
  21.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  22.    wt: 3:   Subtraction with J Conversions Example
  23.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  24.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  25.    wt: 3:   6 How long is a million seconds
  26.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  27.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  28.    wt: 2:   Ramblings Introduction Algebra Essay
  29.    wt: 2:   links Education Resources online
  30.    wt: 2:   Education Reform Inconsistencies
  31.    wt: 2:   Secondary One Mathematics
  32.    wt: 2:   geometric implications for algebra
  33.    wt: 2:   teaching tutoring algebraic reason
  34.    wt: 2:   Motivation and Context Problem
  35.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  36.    wt: 2:   chapitre 04 05 Implication versus suggestion
  37.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  38.    wt: 2:   C Electromotive force conventional current02
  39.    wt: 2:   B Electromotive force conventional current01
  40.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  41.    wt: 2:   13 Addition and Addition Tables
  42.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  43.    wt: 2:   17 Function maxima minima and their location
  44.    wt: 2:   12 Function Domain Recognition Exercises
  45.    wt: 2:   8 Set view of relations and functions
  46.    wt: 2:   6 Set Existence Formation and Notation
  47.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  48.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  49.    wt: 2:   4 Polynomials Long division linear divisor
  50.    wt: 2:   3 Polynomials Multiplication Addition
  51.    wt: 2:   16 cotangent function Definition Graph and Inverse
  52.    wt: 2:   15 cosecant function Definition Graph and Inverse
  53.    wt: 2:   14 secant function Definition Graph and Inverse
  54.    wt: 2:   13 cosecant function Definition Graph and Inverse
  55.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  56.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  57.    wt: 2:   Straight Lines Instersection Solving Equations
  58.    wt: 2:   7 Tangent Function is odd on this domain
  59.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  60.    wt: 2:   25 tangent double angle formula Slope connection
  61.    wt: 2:   12 Graph of tangent function for one period
  62.    wt: 2:   1 Unit Points Reflections Rotations
  63.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  64.    wt: 2:   6 Polar Multiplication and Rotation
  65.    wt: 2:   5 Cartesian Addition and Translation
  66.    wt: 2:   PS G Rotation Distributes over Addition
  67.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  68.    wt: 2:   PS B Parallelogram Construction Methods
  69.    wt: 2:   PS A Kite Construction Methods
  70.    wt: 2:   11 Triangle Construction Fails
  71.    wt: 2:   9 Construction of a right bisector
  72.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  73.    wt: 2:   11 Signed Number Addition and Addition Properties
  74.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  75.    wt: 2:   4 Location of Point in Decimal Addition
  76.    wt: 2:   3 Location of Point in Decimal Multiplication
  77.    wt: 2:   1 Fractions with Finite Decimal Expansions
  78.    wt: 2:   E Long Division Methods more
  79.    wt: 2:   D Long Division Methods
  80.    wt: 2:   B Decimal Comparison and Subtraction
  81.    wt: 2:   4 Fraction Operations Axiomatic Development
  82.    wt: 2:   2 Fraction Operations Physical Development
  83.    wt: 2:   5 Proportionality in Equivalent Fractions
  84.    wt: 2:   3 Linear Equation Literal Solution More
  85.    wt: 2:   2 Linear Equation Literal Solution
  86.    wt: 2:   4 Subtraction and Division Axioms
  87.    wt: 2:   2 Addition and Multiplication Axioms
  88.    wt: 2:   3 Geometric Formulas and Function Notation
  89.    wt: 2:   2 Computation Rules Evaluation
  90.    wt: 2:   1 Formulas Dependence and Function Notation
  91.    wt: 2:   2 Essentially one exercises three with solution
  92.    wt: 2:   6 Algebraic Solution Example
  93.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  94.    wt: 2:   7 Cautious or Safe Set Construction
  95.    wt: 2:   1 Least Common Multiples LCM Introduction
  96.    wt: 2:   6 Simplification of Fractions with Units
  97.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  98.    wt: 2:   1 Addition and Subtraction with Units
  99.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  100.    wt: 2:   12 Fraction Comparison
  101.    wt: 2:   11 Simplification an Algebraic View
  102.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  103.    wt: 2:   6 Multiplication Algebraically Take II
  104.    wt: 2:   4 Fraction Multiplication
  105.    wt: 2:   3 Unit fraction of a fraction
  106.    wt: 2:   2 Unit Fraction Multiplication
  107.    wt: 2:   B Integer Long Division Multiple Choices
  108.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  109.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  110.    wt: 2:   4 video Prime Factorization Introduction
  111.    wt: 2:   Long Division Backwards more
  112.    wt: 2:   Long Division Backward
  113.    wt: 2:   Long Division forwards and backwards Example 3
  114.    wt: 2:   Long Division forwards and backwards Example 2
  115.    wt: 2:   Long Division forwards and backwards Example 1
  116.    wt: 2:   12 Why Long Division Works Take III
  117.    wt: 2:   10 Division by Five Long and Short Ways
  118.    wt: 2:   9 Why Long Division Works Take II
  119.    wt: 2:   7 Long Divison Mistake Catching
  120.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  121.    wt: 2:   5 Long Division Include Zeroes or not
  122.    wt: 2:   5 Decimal Fraction Multiplication
  123.    wt: 2:   Video Power Notation in Decimal Expansion
  124.    wt: 2:   Subtraction Another Video Lesson
  125.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  126.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  127.    wt: 2:   4. How to add with decimals B with conversions
  128.    wt: 2:   3. How to add with decimals A sans conversions
  129.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  130.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  131.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  132.    wt: 2:   Expression Evaluation how to show work
  133.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  134.    wt: 2:   5 Conversion Arithmetic
  135.    wt: 2:   Volume of Solid by Cross Sections Lesson
  136.    wt: 2:   34 Derivative of exponential function
  137.    wt: 2:   3 Motivation for Limit Definition Take 2
  138.    wt: 2:   2 Motivation for Limit Definition Take 1
  139.    wt: 2:   9 Limits Continuity and Composition
  140.    wt: 2:   7 Evaluation by immediate or delayed substitution
  141.    wt: 2:   3 Decimal insights for limits continuity convergence
  142.    wt: 2:   2 Algebraic codification
  143.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  144.    wt: 2:   F.1 What Functions are Continuous
  145.    wt: 2:   D2 Limits of Monotone Sequences
  146.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  147.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  148.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  149.    wt: 2:   Chapter 4 Longer Chains of Reason
  150.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  151.    wt: 2:   Postscript C Consistency as a Tool for Reason
  152.    wt: 2:   Postscript B More on Story Telling and Reason
  153.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  154.    wt: 2:   Chapter 7 Longer Chains of Reason
  155.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  156.    wt: 2:   Chapter 3 Algebra Starter Lessons
  157.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  158.    wt: 1:   K LAMP Musings Science Education
  159.    wt: 1:   J LAMP Introduction Extrinsic Origins
  160.    wt: 1:   I LAMP Introduction Study Habits
  161.    wt: 1:   G LAMP Introduction Problem Solving Skills
  162.    wt: 1:   F LAMP Introduction Prerequisites
  163.    wt: 1:   E LAMP Introduction Modern Mathematics
  164.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  165.    wt: 1:   A Introduction Objectives
  166.    wt: 1:   Skills Chapter 3 Algebra
  167.    wt: 1:   Skills Chapter 0 Introduction
  168.    wt: 1:   7 logic review and decimals an odd combination
  169.    wt: 1:   5 logarithms and exponentials etc
  170.    wt: 1:   4 algebra
  171.    wt: 1:   permissions for teachers
  172.    wt: 1:   About site lesson plans
  173.    wt: 1:   Mathematics Education Professors
  174.    wt: 1:   teacher certification
  175.    wt: 1:   modern education
  176.    wt: 1:   mathematics in context
  177.    wt: 1:   Secondary Three Mathematics
  178.    wt: 1:   Secondary Two Mathematics
  179.    wt: 1:   talk the algebra talk
  180.    wt: 1:   Lessening Algebra Difficulties
  181.    wt: 1:   the trouble with algebra
  182.    wt: 1:   three goals for Mathematics Education
  183.    wt: 1:   02 20 mathematics education references
  184.    wt: 1:   Operational Viewpoint to Value
  185.    wt: 1:   mathematics instruction in general
  186.    wt: 1:   Education in mathematics science and technology
  187.    wt: 1:   Different Kinds of Reasoning in maths
  188.    wt: 1:   three kinds of reason in mathematics
  189.    wt: 1:   Four ways to improve education reform
  190.    wt: 1:   education an empirical art
  191.    wt: 1:   fairness and inductive principles for instruction
  192.    wt: 1:   chapitre 12 00 les iles et division
  193.    wt: 1:   chapitre 07 01 principle D induction mathematique
  194.    wt: 1:   chapitre 06 00 Chaines de la raison
  195.    wt: 1:   chapitre 05 00 Deception
  196.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  197.    wt: 1:   chapitre 04 08 Limitations et benefices
  198.    wt: 1:   chapitre 04 04 Parlons de la logique
  199.    wt: 1:   chapitre 04 00 Les regles d implication
  200.    wt: 1:   chapitre 02 00 La Communication des idees
  201.    wt: 1:   chapitre 01 00 Introduction
  202.    wt: 1:   problemes responses
  203.    wt: 1:   Trois Notions qui menent a algebre
  204.    wt: 1:   deux definitions pour variable
  205.    wt: 1:   2 Conductance Resistance Duality02
  206.    wt: 1:   1 Conductance Resistance Duality01
  207.    wt: 1:   F Wire Resistance Calculation04
  208.    wt: 1:   E Wire Resistance Calculation03
  209.    wt: 1:   D Wire Resistance Calculation02
  210.    wt: 1:   C Wire Resistance Calculation01
  211.    wt: 1:   E Kirchoffs Second Law
  212.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  213.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  214.    wt: 1:   16 Secondary Mathematics Tips
  215.    wt: 1:   14 Multiplication and Times Tables
  216.    wt: 1:   11 Help and Defend Your Child or Teens Education
  217.    wt: 1:   10 Ends values for work study instruction
  218.    wt: 1:   9 Streaming by Student Cooperation
  219.    wt: 1:   7 Student Motivation
  220.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  221.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  222.    wt: 1:   sign monoticity analysis example 4
  223.    wt: 1:   sign monoticity analysis example 3
  224.    wt: 1:   sign monoticity analysis example 2
  225.    wt: 1:   sign monoticity analysis example 1
  226.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  227.    wt: 1:   23 Inverse Functions
  228.    wt: 1:   22 Square Root function graphically
  229.    wt: 1:   20 Interchanging coordinates a reflection
  230.    wt: 1:   19 Horizontal line rule and method
  231.    wt: 1:   16 Increasing or decreasing on intervals
  232.    wt: 1:   15 Sign analysis of functions
  233.    wt: 1:   11 Function Domain Range Source and Targets
  234.    wt: 1:   10 Interval Notation
  235.    wt: 1:   9 Set theory term relation possible origins
  236.    wt: 1:   7 Functions with finite domains
  237.    wt: 1:   3 Formula or function graphing exercise
  238.    wt: 1:   Introduction Reading Guide
  239.    wt: 1:   9 quadratics physical and further context
  240.    wt: 1:   7 quadratic formulla derivation
  241.    wt: 1:   3 quadratics factoring by inspection
  242.    wt: 1:   10 Exponential Growth and Decay Models
  243.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  244.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  245.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  246.    wt: 1:   2 Square Root Simplification a prequel
  247.    wt: 1:   7 Links Lessons Elsewhere
  248.    wt: 1:   2 Column Multiplication Method
  249.    wt: 1:   12 motivation for term arctan
  250.    wt: 1:   10 arctan left inverse of tangent Definition
  251.    wt: 1:   9 motivation for name arcsin
  252.    wt: 1:   7 arcsin left inverse of sine Definition
  253.    wt: 1:   6 Graph of arccos function
  254.    wt: 1:   5 Swapping Coordinates is a reflection
  255.    wt: 1:   4 possible motivation for term arccos
  256.    wt: 1:   3 Left Inverse of cosine arccos definition
  257.    wt: 1:   2 cosine function more properties
  258.    wt: 1:   1 cosine function properties
  259.    wt: 1:   8 Radian Measures of Common Angles
  260.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  261.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  262.    wt: 1:   2 Radian Measure Numerical Value of one degree
  263.    wt: 1:   1 Degrees and Radians Introduction
  264.    wt: 1:   A Global Time and Navigation
  265.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  266.    wt: 1:   11 Component Method
  267.    wt: 1:   10 Parallelogram Addition Method
  268.    wt: 1:   5 Head To Tail Arrow Addition
  269.    wt: 1:   3 Navigation with Arrows or Vectors
  270.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  271.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  272.    wt: 1:   Straight Lines ASA Intersection Study More
  273.    wt: 1:   Straight Lines ASA Intersection Study
  274.    wt: 1:   Straight Lines Intersection of
  275.    wt: 1:   14 Straight Lines Equations General Case
  276.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  277.    wt: 1:   10 Straight Lines through Origin Equations More
  278.    wt: 1:   9 Straight Lines through Origin Equations
  279.    wt: 1:   8 Straight Lines Equation for vertical
  280.    wt: 1:   5 Tangent Function Graph
  281.    wt: 1:   4 Tangent Function Properties
  282.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  283.    wt: 1:   1 Straight Lines Slope Concept
  284.    wt: 1:   17 tangent function angle sum formulas
  285.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  286.    wt: 1:   17G Pythagorean Theorem Converse
  287.    wt: 1:   17A The complex number valued trig function cis
  288.    wt: 1:   16 Right Triangle Complementary Angle Relations
  289.    wt: 1:   15 sine cosine Complementary Angle Relations
  290.    wt: 1:   13 Graph of tangent function many periods
  291.    wt: 1:   11 tangent function undefined when terminal side vertical
  292.    wt: 1:   9 Graphs of sine and cosine over one period
  293.    wt: 1:   8 period of tangent function
  294.    wt: 1:   Unit Circle Development of Trigonometry
  295.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  296.    wt: 1:   21 Logarithms Powers and Exponentials
  297.    wt: 1:   16 References and Originality Question
  298.    wt: 1:   15 Pythagorean Theorem Converse
  299.    wt: 1:   9 The complex number valued trig function cis
  300.    wt: 1:   8 Unit Circle Development of Trigonometry
  301.    wt: 1:   7 Second Way to Calculate Products
  302.    wt: 1:   4 Multiplication Properties
  303.    wt: 1:   3 Addition Properties
  304.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  305.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  306.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  307.    wt: 1:   3 Trigonometric Ratios sine and cosine
  308.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  309.    wt: 1:   Why Trigonometry the whyslopes view
  310.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  311.    wt: 1:   12 Triangles Similarity More Problems
  312.    wt: 1:   8 Similarity of Triangles and Polygons
  313.    wt: 1:   4 Similarity Definition with Coordinate
  314.    wt: 1:   1 Early Concept of Like or Similar Shapes
  315.    wt: 1:   12 Links Lessons elsewhere
  316.    wt: 1:   7 Exercises to test skill and concept mastery
  317.    wt: 1:   6 Intersection of lines by solving linear systems
  318.    wt: 1:   5 Algebraic View of Slopes
  319.    wt: 1:   4 Equations for lines three forms
  320.    wt: 1:   2 point slope equation for a line
  321.    wt: 1:   1 Numerical view of lines and their equations
  322.    wt: 1:   8 Distance Between Points on a Line
  323.    wt: 1:   PS E Multiplication with Polar Coordinates
  324.    wt: 1:   PS D Addition with Cartesian Coordinates
  325.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  326.    wt: 1:   6 Ruler and compass Angle Bisection
  327.    wt: 1:   3 Isometry of Triangles Congruence
  328.    wt: 1:   2 Correspondence between Triangles
  329.    wt: 1:   1 Initial Concepts and Terms
  330.    wt: 1:   Short Course on Euclidean Geometry
  331.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  332.    wt: 1:   4 Angles on Maps Plans drawn to scale
  333.    wt: 1:   3 Lengths and Areas on Maps and Plans
  334.    wt: 1:   About Folder Contents
  335.    wt: 1:   26 More Less Greater Than Comparison
  336.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  337.    wt: 1:   23 Distributive Law Two Derivations
  338.    wt: 1:   22 Multiplication of Signed Numbers
  339.    wt: 1:   21 Addition of Multiples of a Single Vector
  340.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  341.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  342.    wt: 1:   15 Head to Tails in place Addition Associative
  343.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  344.    wt: 1:   9 Division with Digits after Decimal Point
  345.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  346.    wt: 1:   2 Counting Digits in Decimal Multiplication
  347.    wt: 1:   C Three Decimal Subtraction Methods
  348.    wt: 1:   A Decimal Addition Columm Methods
  349.    wt: 1:   8 Column Multiplication Methods in General
  350.    wt: 1:   7 Decimals Multiplication Methods Examples
  351.    wt: 1:   6 Column Methods for Decimal Multiplication
  352.    wt: 1:   2 Combing Counts Addition Skills and Principles
  353.    wt: 1:   3 Inequalities Algebraically
  354.    wt: 1:   4 Rates Ratios and Proporitionality
  355.    wt: 1:   3 Proportionality Examples
  356.    wt: 1:   2 Algebraic View
  357.    wt: 1:   1 What is Proportionality
  358.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  359.    wt: 1:   1 Changing Calculations
  360.    wt: 1:   6 Equations and Systems Equivalent or Implied
  361.    wt: 1:   5 Equality in Algebra
  362.    wt: 1:   1 Equivalent Computation Rules
  363.    wt: 1:   4 Comparison of Negative Numbers
  364.    wt: 1:   1 Real Numbers Comparison
  365.    wt: 1:   16 Real Numbers Comparison
  366.    wt: 1:   15 Real Number Division
  367.    wt: 1:   14 Real Number Multiplication
  368.    wt: 1:   13 Real Number Subtraction
  369.    wt: 1:   11 Real Number Addition
  370.    wt: 1:   9 Coordinates for Regions in Space
  371.    wt: 1:   5 Rational Numbers More
  372.    wt: 1:   4 Rational Numbers
  373.    wt: 1:   3 Fractions
  374.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  375.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  376.    wt: 1:   2 GE II Comparison
  377.    wt: 1:   1 GE Substitution four examples
  378.    wt: 1:   1 Essentially One Unknown
  379.    wt: 1:   4 Four Examples Fractional Coefficients
  380.    wt: 1:   10 One Example
  381.    wt: 1:   8 One Example
  382.    wt: 1:   9 Volume of Cone
  383.    wt: 1:   8 Compound Interest Formula Evaluation
  384.    wt: 1:   7 Compound Interest Formula Introduction
  385.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  386.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  387.    wt: 1:   6 Power Set Notation
  388.    wt: 1:   5 Product Builder Notation
  389.    wt: 1:   4 Subset Builder Notation
  390.    wt: 1:   6 Three Notions of What is a Variable
  391.    wt: 1:   4 A Brief Story of numbers and algebra
  392.    wt: 1:   1 Three Skills For Algebra
  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:   7 GCD and LCM from prime factorization
  398.    wt: 1:   5 Common Divisors 60 45 via Prime
  399.    wt: 1:   2 Least Common Multiple LCM intro via list method
  400.    wt: 1:   4 signed coordinates for regions in space
  401.    wt: 1:   7 Converting or Changing Units
  402.    wt: 1:   4 Fractions with Units
  403.    wt: 1:   B Fractions and Two Term Ratios
  404.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  405.    wt: 1:   22 Complex Compound Fractions
  406.    wt: 1:   21 Reciprocals for Fractions and Wholes
  407.    wt: 1:   20 Dividing Fractions the Why
  408.    wt: 1:   19 Dividing Fractions How TO
  409.    wt: 1:   9 Improper Fractions and Mixed Numbers
  410.    wt: 1:   8 Numerals Fractionals Quantals Take II
  411.    wt: 1:   7 Numerals Fractionals Quantals
  412.    wt: 1:   6 Multiplication of Mixed Numbers
  413.    wt: 1:   5 Equivalent Fractions
  414.    wt: 1:   1 What is a fraction Take II
  415.    wt: 1:   1 What is a fraction
  416.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  417.    wt: 1:   13 Subtraction with Additive Inverse
  418.    wt: 1:   10 Integer Multiplication Formulas
  419.    wt: 1:   8 Multiplication by Signed Numbers Integers
  420.    wt: 1:   7 Multiplication by Signs
  421.    wt: 1:   6 Multiplication by Natural Numbers
  422.    wt: 1:   4 Adding Movements wiht opposite directions
  423.    wt: 1:   3 Adding Movements with same direction
  424.    wt: 1:   20 Uniqueness of Prime Factorization
  425.    wt: 1:   19 video Prime Factorization Unique
  426.    wt: 1:   18 video Count Factors given Prime Factorization
  427.    wt: 1:   15 video Factors of 20 using Prime Factorization
  428.    wt: 1:   10 video Prime Factorization upto 23 squared
  429.    wt: 1:   9 video Prime Factorization upto 19 squared
  430.    wt: 1:   8 video Prime Factorization upto 19
  431.    wt: 1:   7 Calculator Usage Notes and Cautions
  432.    wt: 1:   5 Prime Factorization and a Square Rule
  433.    wt: 1:   Division with Counts and Length
  434.    wt: 1:   4 Division with 2 Digit Divsors
  435.    wt: 1:   3 Division Single Digit Divisor Example
  436.    wt: 1:   2 Division with Single Digit Divisors
  437.    wt: 1:   1 Divsion Physical Examples
  438.    wt: 1:   D Decimal Multiplication Methods Derived
  439.    wt: 1:   A Elementary Basis for Multiplication Methods
  440.    wt: 1:   6 Multiplication Commutes Order Not Important
  441.    wt: 1:   3 More One Digit Multipliers
  442.    wt: 1:   2 One Digit Multipliers
  443.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  444.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  445.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  446.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  447.    wt: 1:   9 22 Minute Subtraction Review Video
  448.    wt: 1:   8 Subtraction with Units of Measure
  449.    wt: 1:   5 A Tip for Efficent Subtraction
  450.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  451.    wt: 1:   2 Subtraction Easy Case Examples
  452.    wt: 1:   7 Adding decimal fractions using decimal point
  453.    wt: 1:   1. Explaining Addition Table
  454.    wt: 1:   11 Place Value SI Standard International way
  455.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  456.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  457.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  458.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  459.    wt: 1:   Quick history of numbers and algebra
  460.    wt: 1:   Exact Arithmetic Wholes and Fractions
  461.    wt: 1:   Formula Evaluation how to show work
  462.    wt: 1:   About folder contents
  463.    wt: 1:   012 Division of Time Intervals by Time Intervals
  464.    wt: 1:   011 Division of Time Intervals By Numbers
  465.    wt: 1:   010 Repeated Addition of Time Intervals
  466.    wt: 1:   8 Addition of Time Intervals via subtotaling
  467.    wt: 1:   7 Addition of Time Intervals
  468.    wt: 1:   Example 2 volume of a cone
  469.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  470.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  471.    wt: 1:   Example 4 with x function of y
  472.    wt: 1:   Area Between Curves Lesson Take 2
  473.    wt: 1:   Area Between Curves Lesson Take 1
  474.    wt: 1:   4 Definite Integrals Evaluation Exercises
  475.    wt: 1:   1 Chain Rule in Reverse Integration Method
  476.    wt: 1:   A Related lessons in Volume 3
  477.    wt: 1:   4 Second derivative test exercise example
  478.    wt: 1:   3 Second derivative test
  479.    wt: 1:   2 Second derivative test prequel
  480.    wt: 1:   31 Derivatives of inverse functions
  481.    wt: 1:   29 Chain Rule Optional Reading
  482.    wt: 1:   28 Chain Rule Preparation for a Proof
  483.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  484.    wt: 1:   26 Chain Rule Recognising outer inner functions
  485.    wt: 1:   25 Chain Rule Animated Examples Continued
  486.    wt: 1:   19 Chain Rule for linear functions
  487.    wt: 1:   18 Chain Rule Introduction
  488.    wt: 1:   8 Differentiation of polynomials
  489.    wt: 1:   7 Animated Differentiation Examples
  490.    wt: 1:   10 Three one sided limits with infinite values
  491.    wt: 1:   6 Continuity at a point
  492.    wt: 1:   5 Jumps and absence of unlimited error control
  493.    wt: 1:   1 Numerical introduction
  494.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  495.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  496.    wt: 1:   G.5 Motions With Bounded Velocities
  497.    wt: 1:   G.3 Constant Difference Theorem Proof
  498.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  499.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  500.    wt: 1:   F.5a Equicontinuity Theorems
  501.    wt: 1:   E2 Algebraic Properties of Limits
  502.    wt: 1:   E1 Error Control Inequalities
  503.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  504.    wt: 1:   A1. Introduction
  505.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  506.    wt: 1:   Chapter 23 Links To Trigonometry
  507.    wt: 1:   Chapter 21 Arrow Addition
  508.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  509.    wt: 1:   Chapter 18. Slopes Areas Integration
  510.    wt: 1:   Chapter 17. Area Approximation
  511.    wt: 1:   Chapter 16. Velocity Approximation
  512.    wt: 1:   Chapter 15. Slope Approximation
  513.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  514.    wt: 1:   Chapter 13. Acceleration
  515.    wt: 1:   Chapter 11. Graphing Slope versus Position
  516.    wt: 1:   Chapter 8. Slope Interpretation
  517.    wt: 1:   Chapter 1.Introduction
  518.    wt: 1:   Postscript More on Better Performance
  519.    wt: 1:   Chapter 31 Direct and Indirect Reason
  520.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  521.    wt: 1:   Chapter 25. Mathematical Induction Examples
  522.    wt: 1:   Chapter 23. Notation For Sums
  523.    wt: 1:   Chapter 19. Functions and Sets
  524.    wt: 1:   Chapter 18. Rules for Algebra
  525.    wt: 1:   Chapter 15. Solving Linear Equations
  526.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  527.    wt: 1:   Chapter 13. Second Reading Guide
  528.    wt: 1:   Chapter 10 Describing and Changing Calculations
  529.    wt: 1:   Chapter 8 Three Skills For Algebra
  530.    wt: 1:   Solutions For Arithmetic Exercises
  531.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  532.    wt: 1:   Chapter 3 Chains of Reason
  533.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  534.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  535.    wt: 1:   Postscript B Mathematics Education References
  536.    wt: 1:   Chapter 11 Elementary Instruction
  537.    wt: 1:   Chapter 10 Transition
  538.    wt: 1:   Chapter 8 Modern Instruction
  539.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  540.    wt: 1:   Chapter 3 Algebra Difficulties
  541.    wt: 1:   Chapter 1 Introduction
  542.    wt: 1:   Chapter 24 Direct and Indirect Reason
  543.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  544.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  545.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  546.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  547.    wt: 1:   Chapter 10 Responsibility
  548.    wt: 1:   Chapter 6 Chains of Reason
  549.    wt: 1:   Chapter 5 Deception
  550.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  551.    wt: 1:   Chapter 1 Introduction
  552.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  553.    wt: 1:   S Adding words to algebra
  554.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  555.    wt: 1:   O On Learning Mathematics and Science
  556.    wt: 1:   N Improving Marks on Tests and Finals
  557.    wt: 1:   J. More on written work and showing skill
  558.    wt: 1:   H more Routine to non routine problem solving
  559.    wt: 1:   D. Check work a must with a caution
  560.    wt: 1:   How to Build Skills and Confidence
  561.    wt: 1:   Chapter 6 More Algebra and Geometry
  562.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  563.    wt: 1:   7 Games and Activities for Instruction
  564.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  565.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  566.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  567.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  568.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  569.    wt: 1:   Mathematics Education References
  570.    wt: 1:   Mathematics Education References
  571.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  572.    wt: 1:   Implementation Notes
  573.    wt: 1:   More Algebra and Slope based Calculus Preview
  574.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  575.    wt: 1:   Systematic Algebra Skill Development Missing Links
  576.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  577.    wt: 1:   Road Safety Questions
  578.    wt: 1:   The Math Forum and Site Content

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

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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


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

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

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

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