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

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

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

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

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

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

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

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

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567 matches:

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

Extended Search

898 matches:

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