Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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

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585 matches:

  1.    wt: 4:   7 Translations Rotations Reflections Dilatations
  2.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  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:   1 Geometric Introduction of Function Notation
  11.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  12.    wt: 3:   Rewriting algebraic substitution as function substitutions
  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:   4 Side Side Side
  17.    wt: 3:   8 Division and Mulplication of Compound Fractions
  18.    wt: 3:   3 GE III Equation Addition and Multiplication
  19.    wt: 3:   16 Addition Subtraction Comparision Compared
  20.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  21.    wt: 3:   Subtraction with J Conversions Example
  22.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  23.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  24.    wt: 3:   6 How long is a million seconds
  25.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  26.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  27.    wt: 2:   links Education Resources online
  28.    wt: 2:   Education Reform Inconsistencies
  29.    wt: 2:   Secondary One Mathematics
  30.    wt: 2:   Motivation and Context Problem
  31.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  32.    wt: 2:   chapitre 04 05 Implication versus suggestion
  33.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  34.    wt: 2:   C Electromotive force conventional current02
  35.    wt: 2:   B Electromotive force conventional current01
  36.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  37.    wt: 2:   13 Addition and Addition Tables
  38.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  39.    wt: 2:   17 Function maxima minima and their location
  40.    wt: 2:   12 Function Domain Recognition Exercises
  41.    wt: 2:   11 Function Domain Range Source and Targets
  42.    wt: 2:   8 Set view of relations and functions
  43.    wt: 2:   6 Set Existence Formation and Notation
  44.    wt: 2:   2 Algebraic use of function notation
  45.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  46.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  47.    wt: 2:   4 Polynomials Long division linear divisor
  48.    wt: 2:   3 Polynomials Multiplication Addition
  49.    wt: 2:   16 cotangent function Definition Graph and Inverse
  50.    wt: 2:   15 cosecant function Definition Graph and Inverse
  51.    wt: 2:   14 secant function Definition Graph and Inverse
  52.    wt: 2:   13 cosecant function Definition Graph and Inverse
  53.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  54.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  55.    wt: 2:   Straight Lines Instersection Solving Equations
  56.    wt: 2:   7 Tangent Function is odd on this domain
  57.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  58.    wt: 2:   25 tangent double angle formula Slope connection
  59.    wt: 2:   17G Pythagorean Theorem Converse
  60.    wt: 2:   12 Graph of tangent function for one period
  61.    wt: 2:   11 tangent function undefined when terminal side vertical
  62.    wt: 2:   1 Unit Points Reflections Rotations
  63.    wt: 2:   15 Pythagorean Theorem Converse
  64.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  65.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  66.    wt: 2:   6 Polar Multiplication and Rotation
  67.    wt: 2:   5 Cartesian Addition and Translation
  68.    wt: 2:   PS G Rotation Distributes over Addition
  69.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  70.    wt: 2:   PS B Parallelogram Construction Methods
  71.    wt: 2:   PS A Kite Construction Methods
  72.    wt: 2:   12 Side Angle Side Failure
  73.    wt: 2:   11 Triangle Construction Fails
  74.    wt: 2:   9 Construction of a right bisector
  75.    wt: 2:   5 Side Angle Side
  76.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  77.    wt: 2:   11 Signed Number Addition and Addition Properties
  78.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  79.    wt: 2:   4 Location of Point in Decimal Addition
  80.    wt: 2:   3 Location of Point in Decimal Multiplication
  81.    wt: 2:   1 Fractions with Finite Decimal Expansions
  82.    wt: 2:   E Long Division Methods more
  83.    wt: 2:   D Long Division Methods
  84.    wt: 2:   B Decimal Comparison and Subtraction
  85.    wt: 2:   4 Fraction Operations Axiomatic Development
  86.    wt: 2:   2 Fraction Operations Physical Development
  87.    wt: 2:   5 Proportionality in Equivalent Fractions
  88.    wt: 2:   3 Linear Equation Literal Solution More
  89.    wt: 2:   2 Linear Equation Literal Solution
  90.    wt: 2:   4 Subtraction and Division Axioms
  91.    wt: 2:   2 Addition and Multiplication Axioms
  92.    wt: 2:   3 Geometric Formulas and Function Notation
  93.    wt: 2:   2 Computation Rules Evaluation
  94.    wt: 2:   1 Formulas Dependence and Function Notation
  95.    wt: 2:   2 Essentially one exercises three with solution
  96.    wt: 2:   5 Algebraic Solutions Introduction
  97.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  98.    wt: 2:   7 Cautious or Safe Set Construction
  99.    wt: 2:   1 Least Common Multiples LCM Introduction
  100.    wt: 2:   6 Simplification of Fractions with Units
  101.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  102.    wt: 2:   1 Addition and Subtraction with Units
  103.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  104.    wt: 2:   13 Fraction Comparison Algebraic View
  105.    wt: 2:   12 Fraction Comparison
  106.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  107.    wt: 2:   4 Fraction Multiplication
  108.    wt: 2:   3 Unit fraction of a fraction
  109.    wt: 2:   2 Unit Fraction Multiplication
  110.    wt: 2:   B Integer Long Division Multiple Choices
  111.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  112.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  113.    wt: 2:   4 video Prime Factorization Introduction
  114.    wt: 2:   Long Division Backwards more
  115.    wt: 2:   Long Division Backward
  116.    wt: 2:   Long Division forwards and backwards Example 3
  117.    wt: 2:   Long Division forwards and backwards Example 2
  118.    wt: 2:   Long Division forwards and backwards Example 1
  119.    wt: 2:   12 Why Long Division Works Take III
  120.    wt: 2:   10 Division by Five Long and Short Ways
  121.    wt: 2:   9 Why Long Division Works Take II
  122.    wt: 2:   7 Long Divison Mistake Catching
  123.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  124.    wt: 2:   5 Long Division Include Zeroes or not
  125.    wt: 2:   5 Decimal Fraction Multiplication
  126.    wt: 2:   Video Power Notation in Decimal Expansion
  127.    wt: 2:   Subtraction Another Video Lesson
  128.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  129.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  130.    wt: 2:   4. How to add with decimals B with conversions
  131.    wt: 2:   3. How to add with decimals A sans conversions
  132.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  133.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  134.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  135.    wt: 2:   Expression Evaluation how to show work
  136.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  137.    wt: 2:   5 Conversion Arithmetic
  138.    wt: 2:   Volume of Solid by Cross Sections Lesson
  139.    wt: 2:   34 Derivative of exponential function
  140.    wt: 2:   3 Motivation for Limit Definition Take 2
  141.    wt: 2:   2 Motivation for Limit Definition Take 1
  142.    wt: 2:   10 Three one sided limits with infinite values
  143.    wt: 2:   9 Limits Continuity and Composition
  144.    wt: 2:   7 Evaluation by immediate or delayed substitution
  145.    wt: 2:   3 Decimal insights for limits continuity convergence
  146.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  147.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  148.    wt: 2:   G.3 Constant Difference Theorem Proof
  149.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  150.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  151.    wt: 2:   F.5a Equicontinuity Theorems
  152.    wt: 2:   F.2 Closed Range Theorem
  153.    wt: 2:   F.1 What Functions are Continuous
  154.    wt: 2:   D2 Limits of Monotone Sequences
  155.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  156.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  157.    wt: 2:   Chapter 4 Longer Chains of Reason
  158.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  159.    wt: 2:   Postscript C Consistency as a Tool for Reason
  160.    wt: 2:   Postscript B More on Story Telling and Reason
  161.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  162.    wt: 2:   Chapter 7 Longer Chains of Reason
  163.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  164.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  165.    wt: 2:   Chapter 3 Algebra Starter Lessons
  166.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  167.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  168.    wt: 1:   K LAMP Musings Science Education
  169.    wt: 1:   J LAMP Introduction Extrinsic Origins
  170.    wt: 1:   I LAMP Introduction Study Habits
  171.    wt: 1:   G LAMP Introduction Problem Solving Skills
  172.    wt: 1:   F LAMP Introduction Prerequisites
  173.    wt: 1:   E LAMP Introduction Modern Mathematics
  174.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  175.    wt: 1:   A Introduction Objectives
  176.    wt: 1:   Skills Chapter 5 Calculus
  177.    wt: 1:   Ramblings Introduction Algebra Essay
  178.    wt: 1:   Skills Chapter 0 Introduction
  179.    wt: 1:   7 logic review and decimals an odd combination
  180.    wt: 1:   5 logarithms and exponentials etc
  181.    wt: 1:   permissions for teachers
  182.    wt: 1:   About site lesson plans
  183.    wt: 1:   Mathematics Education Professors
  184.    wt: 1:   teacher certification
  185.    wt: 1:   modern education
  186.    wt: 1:   mathematics in context
  187.    wt: 1:   Secondary Three Mathematics
  188.    wt: 1:   Secondary Two Mathematics
  189.    wt: 1:   geometric implications for algebra
  190.    wt: 1:   teaching tutoring algebraic reason
  191.    wt: 1:   three goals for Mathematics Education
  192.    wt: 1:   02 20 mathematics education references
  193.    wt: 1:   Operational Viewpoint to Value
  194.    wt: 1:   mathematics instruction in general
  195.    wt: 1:   Education in mathematics science and technology
  196.    wt: 1:   Different Kinds of Reasoning in maths
  197.    wt: 1:   three kinds of reason in mathematics
  198.    wt: 1:   Four ways to improve education reform
  199.    wt: 1:   education an empirical art
  200.    wt: 1:   fairness and inductive principles for instruction
  201.    wt: 1:   chapitre 12 00 les iles et division
  202.    wt: 1:   chapitre 07 01 principle D induction mathematique
  203.    wt: 1:   chapitre 06 00 Chaines de la raison
  204.    wt: 1:   chapitre 05 00 Deception
  205.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  206.    wt: 1:   chapitre 04 08 Limitations et benefices
  207.    wt: 1:   chapitre 04 04 Parlons de la logique
  208.    wt: 1:   chapitre 04 00 Les regles d implication
  209.    wt: 1:   chapitre 02 00 La Communication des idees
  210.    wt: 1:   chapitre 01 00 Introduction
  211.    wt: 1:   problemes responses
  212.    wt: 1:   Trois Notions qui menent a algebre
  213.    wt: 1:   deux definitions pour variable
  214.    wt: 1:   2 Conductance Resistance Duality02
  215.    wt: 1:   1 Conductance Resistance Duality01
  216.    wt: 1:   F Wire Resistance Calculation04
  217.    wt: 1:   E Wire Resistance Calculation03
  218.    wt: 1:   D Wire Resistance Calculation02
  219.    wt: 1:   C Wire Resistance Calculation01
  220.    wt: 1:   E Kirchoffs Second Law
  221.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  222.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  223.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  224.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  225.    wt: 1:   16 Secondary Mathematics Tips
  226.    wt: 1:   14 Multiplication and Times Tables
  227.    wt: 1:   11 Help and Defend Your Child or Teens Education
  228.    wt: 1:   10 Ends values for work study instruction
  229.    wt: 1:   9 Streaming by Student Cooperation
  230.    wt: 1:   7 Student Motivation
  231.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  232.    wt: 1:   sign monoticity analysis example 4
  233.    wt: 1:   sign monoticity analysis example 3
  234.    wt: 1:   sign monoticity analysis example 2
  235.    wt: 1:   sign monoticity analysis example 1
  236.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  237.    wt: 1:   23 Inverse Functions
  238.    wt: 1:   22 Square Root function graphically
  239.    wt: 1:   20 Interchanging coordinates a reflection
  240.    wt: 1:   19 Horizontal line rule and method
  241.    wt: 1:   16 Increasing or decreasing on intervals
  242.    wt: 1:   15 Sign analysis of functions
  243.    wt: 1:   10 Interval Notation
  244.    wt: 1:   9 Set theory term relation possible origins
  245.    wt: 1:   7 Functions with finite domains
  246.    wt: 1:   3 Formula or function graphing exercise
  247.    wt: 1:   Introduction Reading Guide
  248.    wt: 1:   9 quadratics physical and further context
  249.    wt: 1:   7 quadratic formulla derivation
  250.    wt: 1:   3 quadratics factoring by inspection
  251.    wt: 1:   10 Exponential Growth and Decay Models
  252.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  253.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  254.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  255.    wt: 1:   2 Square Root Simplification a prequel
  256.    wt: 1:   1 Calculator Starter Exercises
  257.    wt: 1:   7 Links Lessons Elsewhere
  258.    wt: 1:   2 Column Multiplication Method
  259.    wt: 1:   12 motivation for term arctan
  260.    wt: 1:   10 arctan left inverse of tangent Definition
  261.    wt: 1:   9 motivation for name arcsin
  262.    wt: 1:   7 arcsin left inverse of sine Definition
  263.    wt: 1:   6 Graph of arccos function
  264.    wt: 1:   5 Swapping Coordinates is a reflection
  265.    wt: 1:   4 possible motivation for term arccos
  266.    wt: 1:   3 Left Inverse of cosine arccos definition
  267.    wt: 1:   2 cosine function more properties
  268.    wt: 1:   1 cosine function properties
  269.    wt: 1:   8 Radian Measures of Common Angles
  270.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  271.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  272.    wt: 1:   2 Radian Measure Numerical Value of one degree
  273.    wt: 1:   1 Degrees and Radians Introduction
  274.    wt: 1:   A Global Time and Navigation
  275.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  276.    wt: 1:   11 Component Method
  277.    wt: 1:   10 Parallelogram Addition Method
  278.    wt: 1:   5 Head To Tail Arrow Addition
  279.    wt: 1:   3 Navigation with Arrows or Vectors
  280.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  281.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  282.    wt: 1:   Straight Lines ASA Intersection Study More
  283.    wt: 1:   Straight Lines ASA Intersection Study
  284.    wt: 1:   Straight Lines Intersection of
  285.    wt: 1:   14 Straight Lines Equations General Case
  286.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  287.    wt: 1:   10 Straight Lines through Origin Equations More
  288.    wt: 1:   9 Straight Lines through Origin Equations
  289.    wt: 1:   8 Straight Lines Equation for vertical
  290.    wt: 1:   5 Tangent Function Graph
  291.    wt: 1:   4 Tangent Function Properties
  292.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  293.    wt: 1:   1 Straight Lines Slope Concept
  294.    wt: 1:   17 tangent function angle sum formulas
  295.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  296.    wt: 1:   17A The complex number valued trig function cis
  297.    wt: 1:   16 Right Triangle Complementary Angle Relations
  298.    wt: 1:   15 sine cosine Complementary Angle Relations
  299.    wt: 1:   13 Graph of tangent function many periods
  300.    wt: 1:   9 Graphs of sine and cosine over one period
  301.    wt: 1:   8 period of tangent function
  302.    wt: 1:   Unit Circle Development of Trigonometry
  303.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  304.    wt: 1:   21 Logarithms Powers and Exponentials
  305.    wt: 1:   16 References and Originality Question
  306.    wt: 1:   9 The complex number valued trig function cis
  307.    wt: 1:   8 Unit Circle Development of Trigonometry
  308.    wt: 1:   7 Second Way to Calculate Products
  309.    wt: 1:   4 Multiplication Properties
  310.    wt: 1:   3 Addition Properties
  311.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  312.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  313.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  314.    wt: 1:   3 Trigonometric Ratios sine and cosine
  315.    wt: 1:   Why Trigonometry the whyslopes view
  316.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  317.    wt: 1:   11 Triangle Similarity Missing Side Problem
  318.    wt: 1:   8 Similarity of Triangles and Polygons
  319.    wt: 1:   4 Similarity Definition with Coordinate
  320.    wt: 1:   1 Early Concept of Like or Similar Shapes
  321.    wt: 1:   12 Links Lessons elsewhere
  322.    wt: 1:   7 Exercises to test skill and concept mastery
  323.    wt: 1:   6 Intersection of lines by solving linear systems
  324.    wt: 1:   4 Equations for lines three forms
  325.    wt: 1:   2 point slope equation for a line
  326.    wt: 1:   1 Numerical view of lines and their equations
  327.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  328.    wt: 1:   8 Distance Between Points on a Line
  329.    wt: 1:   PS E Multiplication with Polar Coordinates
  330.    wt: 1:   PS D Addition with Cartesian Coordinates
  331.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  332.    wt: 1:   17 Right Bisectors of Triangle Sides
  333.    wt: 1:   13 Angle Side Angle Failure
  334.    wt: 1:   7 Angle Side Angle
  335.    wt: 1:   6 Ruler and compass Angle Bisection
  336.    wt: 1:   3 Isometry of Triangles Congruence
  337.    wt: 1:   2 Correspondence between Triangles
  338.    wt: 1:   1 Initial Concepts and Terms
  339.    wt: 1:   Short Course on Euclidean Geometry
  340.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  341.    wt: 1:   4 Angles on Maps Plans drawn to scale
  342.    wt: 1:   3 Lengths and Areas on Maps and Plans
  343.    wt: 1:   About Folder Contents
  344.    wt: 1:   26 More Less Greater Than Comparison
  345.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  346.    wt: 1:   23 Distributive Law Two Derivations
  347.    wt: 1:   22 Multiplication of Signed Numbers
  348.    wt: 1:   21 Addition of Multiples of a Single Vector
  349.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  350.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  351.    wt: 1:   15 Head to Tails in place Addition Associative
  352.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  353.    wt: 1:   9 Division with Digits after Decimal Point
  354.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  355.    wt: 1:   2 Counting Digits in Decimal Multiplication
  356.    wt: 1:   C Three Decimal Subtraction Methods
  357.    wt: 1:   A Decimal Addition Columm Methods
  358.    wt: 1:   8 Column Multiplication Methods in General
  359.    wt: 1:   7 Decimals Multiplication Methods Examples
  360.    wt: 1:   6 Column Methods for Decimal Multiplication
  361.    wt: 1:   2 Combing Counts Addition Skills and Principles
  362.    wt: 1:   4 Rates Ratios and Proporitionality
  363.    wt: 1:   3 Proportionality Examples
  364.    wt: 1:   1 What is Proportionality
  365.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  366.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  367.    wt: 1:   1 Changing Calculations
  368.    wt: 1:   6 Equations and Systems Equivalent or Implied
  369.    wt: 1:   1 Equivalent Computation Rules
  370.    wt: 1:   4 Comparison of Negative Numbers
  371.    wt: 1:   1 Real Numbers Comparison
  372.    wt: 1:   16 Real Numbers Comparison
  373.    wt: 1:   15 Real Number Division
  374.    wt: 1:   14 Real Number Multiplication
  375.    wt: 1:   13 Real Number Subtraction
  376.    wt: 1:   11 Real Number Addition
  377.    wt: 1:   9 Coordinates for Regions in Space
  378.    wt: 1:   5 Rational Numbers More
  379.    wt: 1:   4 Rational Numbers
  380.    wt: 1:   3 Fractions
  381.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  382.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  383.    wt: 1:   2 GE II Comparison
  384.    wt: 1:   1 GE Substitution four examples
  385.    wt: 1:   1 Essentially One Unknown
  386.    wt: 1:   6 Algebraic Solution Example
  387.    wt: 1:   4 Four Examples Fractional Coefficients
  388.    wt: 1:   10 One Example
  389.    wt: 1:   8 One Example
  390.    wt: 1:   9 Volume of Cone
  391.    wt: 1:   8 Compound Interest Formula Evaluation
  392.    wt: 1:   7 Compound Interest Formula Introduction
  393.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  394.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  395.    wt: 1:   6 Power Set Notation
  396.    wt: 1:   5 Product Builder Notation
  397.    wt: 1:   4 Subset Builder Notation
  398.    wt: 1:   6 Three Notions of What is a Variable
  399.    wt: 1:   About Folder Contents
  400.    wt: 1:   3 Comparison of Negative Numbers
  401.    wt: 1:   1 Squares and Square Roots Introduction
  402.    wt: 1:   13 GCD from given Prime Factorization
  403.    wt: 1:   7 GCD and LCM from prime factorization
  404.    wt: 1:   5 Common Divisors 60 45 via Prime
  405.    wt: 1:   2 Least Common Multiple LCM intro via list method
  406.    wt: 1:   4 signed coordinates for regions in space
  407.    wt: 1:   7 Converting or Changing Units
  408.    wt: 1:   4 Fractions with Units
  409.    wt: 1:   B Fractions and Two Term Ratios
  410.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  411.    wt: 1:   22 Complex Compound Fractions
  412.    wt: 1:   21 Reciprocals for Fractions and Wholes
  413.    wt: 1:   20 Dividing Fractions the Why
  414.    wt: 1:   19 Dividing Fractions How TO
  415.    wt: 1:   11 Simplification an Algebraic View
  416.    wt: 1:   9 Improper Fractions and Mixed Numbers
  417.    wt: 1:   8 Numerals Fractionals Quantals Take II
  418.    wt: 1:   7 Numerals Fractionals Quantals
  419.    wt: 1:   6 Multiplication of Mixed Numbers
  420.    wt: 1:   6 Multiplication Algebraically Take II
  421.    wt: 1:   5 Equivalent Fractions
  422.    wt: 1:   1 What is a fraction Take II
  423.    wt: 1:   1 What is a fraction
  424.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  425.    wt: 1:   13 Subtraction with Additive Inverse
  426.    wt: 1:   10 Integer Multiplication Formulas
  427.    wt: 1:   8 Multiplication by Signed Numbers Integers
  428.    wt: 1:   7 Multiplication by Signs
  429.    wt: 1:   6 Multiplication by Natural Numbers
  430.    wt: 1:   4 Adding Movements wiht opposite directions
  431.    wt: 1:   3 Adding Movements with same direction
  432.    wt: 1:   20 Uniqueness of Prime Factorization
  433.    wt: 1:   19 video Prime Factorization Unique
  434.    wt: 1:   18 video Count Factors given Prime Factorization
  435.    wt: 1:   15 video Factors of 20 using Prime Factorization
  436.    wt: 1:   10 video Prime Factorization upto 23 squared
  437.    wt: 1:   9 video Prime Factorization upto 19 squared
  438.    wt: 1:   8 video Prime Factorization upto 19
  439.    wt: 1:   7 Calculator Usage Notes and Cautions
  440.    wt: 1:   5 Prime Factorization and a Square Rule
  441.    wt: 1:   Division with Counts and Length
  442.    wt: 1:   4 Division with 2 Digit Divsors
  443.    wt: 1:   3 Division Single Digit Divisor Example
  444.    wt: 1:   2 Division with Single Digit Divisors
  445.    wt: 1:   1 Divsion Physical Examples
  446.    wt: 1:   D Decimal Multiplication Methods Derived
  447.    wt: 1:   A Elementary Basis for Multiplication Methods
  448.    wt: 1:   6 Multiplication Commutes Order Not Important
  449.    wt: 1:   3 More One Digit Multipliers
  450.    wt: 1:   2 One Digit Multipliers
  451.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  452.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  453.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  454.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  455.    wt: 1:   9 22 Minute Subtraction Review Video
  456.    wt: 1:   8 Subtraction with Units of Measure
  457.    wt: 1:   5 A Tip for Efficent Subtraction
  458.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  459.    wt: 1:   2 Subtraction Easy Case Examples
  460.    wt: 1:   7 Adding decimal fractions using decimal point
  461.    wt: 1:   1. Explaining Addition Table
  462.    wt: 1:   11 Place Value SI Standard International way
  463.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  464.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  465.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  466.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  467.    wt: 1:   Exact Arithmetic Wholes and Fractions
  468.    wt: 1:   Formula Evaluation how to show work
  469.    wt: 1:   About folder contents
  470.    wt: 1:   012 Division of Time Intervals by Time Intervals
  471.    wt: 1:   011 Division of Time Intervals By Numbers
  472.    wt: 1:   010 Repeated Addition of Time Intervals
  473.    wt: 1:   8 Addition of Time Intervals via subtotaling
  474.    wt: 1:   7 Addition of Time Intervals
  475.    wt: 1:   Example 2 volume of a cone
  476.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  477.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  478.    wt: 1:   Example 4 with x function of y
  479.    wt: 1:   Area Between Curves Lesson Take 2
  480.    wt: 1:   Area Between Curves Lesson Take 1
  481.    wt: 1:   4 Definite Integrals Evaluation Exercises
  482.    wt: 1:   1 Chain Rule in Reverse Integration Method
  483.    wt: 1:   A Related lessons in Volume 3
  484.    wt: 1:   4 Second derivative test exercise example
  485.    wt: 1:   3 Second derivative test
  486.    wt: 1:   2 Second derivative test prequel
  487.    wt: 1:   31 Derivatives of inverse functions
  488.    wt: 1:   29 Chain Rule Optional Reading
  489.    wt: 1:   28 Chain Rule Preparation for a Proof
  490.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  491.    wt: 1:   26 Chain Rule Recognising outer inner functions
  492.    wt: 1:   25 Chain Rule Animated Examples Continued
  493.    wt: 1:   19 Chain Rule for linear functions
  494.    wt: 1:   18 Chain Rule Introduction
  495.    wt: 1:   8 Differentiation of polynomials
  496.    wt: 1:   7 Animated Differentiation Examples
  497.    wt: 1:   6 Continuity at a point
  498.    wt: 1:   5 Jumps and absence of unlimited error control
  499.    wt: 1:   2 Algebraic codification
  500.    wt: 1:   1 Numerical introduction
  501.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  502.    wt: 1:   G.5 Motions With Bounded Velocities
  503.    wt: 1:   F.5b Extreme Value Theorem
  504.    wt: 1:   F.4 Finite Covering Theorem
  505.    wt: 1:   F.3 Intermediate Value Theorem
  506.    wt: 1:   E1 Error Control Inequalities
  507.    wt: 1:   B3 Bolzano Weierstrass Theorem
  508.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  509.    wt: 1:   A1. Introduction
  510.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  511.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  512.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  513.    wt: 1:   Chapter 23 Links To Trigonometry
  514.    wt: 1:   Chapter 21 Arrow Addition
  515.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  516.    wt: 1:   Chapter 18. Slopes Areas Integration
  517.    wt: 1:   Chapter 17. Area Approximation
  518.    wt: 1:   Chapter 16. Velocity Approximation
  519.    wt: 1:   Chapter 15. Slope Approximation
  520.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  521.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  522.    wt: 1:   Chapter 13. Acceleration
  523.    wt: 1:   Chapter 11. Graphing Slope versus Position
  524.    wt: 1:   Chapter 9 About First Courses in Calculus
  525.    wt: 1:   Chapter 8. Slope Interpretation
  526.    wt: 1:   Chapter 1.Introduction
  527.    wt: 1:   Fall 1983 Calculus Appetizer
  528.    wt: 1:   Postscript More on Better Performance
  529.    wt: 1:   Chapter 31 Direct and Indirect Reason
  530.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  531.    wt: 1:   Chapter 25. Mathematical Induction Examples
  532.    wt: 1:   Chapter 23. Notation For Sums
  533.    wt: 1:   Chapter 19. Functions and Sets
  534.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  535.    wt: 1:   Chapter 16. Painless Theorem Proving
  536.    wt: 1:   Chapter 15. Solving Linear Equations
  537.    wt: 1:   Chapter 13. Second Reading Guide
  538.    wt: 1:   Chapter 10 Describing and Changing Calculations
  539.    wt: 1:   Solutions For Arithmetic Exercises
  540.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  541.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  542.    wt: 1:   Chapter 3 Chains of Reason
  543.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  544.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  545.    wt: 1:   Postscript B Mathematics Education References
  546.    wt: 1:   Chapter 11 Elementary Instruction
  547.    wt: 1:   Chapter 10 Transition
  548.    wt: 1:   Chapter 8 Modern Instruction
  549.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  550.    wt: 1:   Chapter 1 Introduction
  551.    wt: 1:   Chapter 24 Direct and Indirect Reason
  552.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  553.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  554.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  555.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  556.    wt: 1:   Chapter 10 Responsibility
  557.    wt: 1:   Chapter 6 Chains of Reason
  558.    wt: 1:   Chapter 5 Deception
  559.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  560.    wt: 1:   Chapter 1 Introduction
  561.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  562.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  563.    wt: 1:   O On Learning Mathematics and Science
  564.    wt: 1:   N Improving Marks on Tests and Finals
  565.    wt: 1:   J. More on written work and showing skill
  566.    wt: 1:   H more Routine to non routine problem solving
  567.    wt: 1:   D. Check work a must with a caution
  568.    wt: 1:   How to Build Skills and Confidence
  569.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  570.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  571.    wt: 1:   7 Games and Activities for Instruction
  572.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  573.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  574.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  575.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  576.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  577.    wt: 1:   Mathematics Education References
  578.    wt: 1:   Mathematics Education References
  579.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  580.    wt: 1:   Implementation Notes
  581.    wt: 1:   More Algebra and Slope based Calculus Preview
  582.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  583.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  584.    wt: 1:   Road Safety Questions
  585.    wt: 1:   The Math Forum and Site Content

Extended Search

928 matches:

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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