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

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

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

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

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

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

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

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70 matches:

  1.    wt: 9:   D Decimal Long Division Methods/
  2.    wt: 9:   B Decimal Comparing and Subtracting Methods/
  3.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  4.    wt: 7:   C Decimal Multiplication Methods/
  5.    wt: 6:   9 Proportionality Backwards and Forwards/
  6.    wt: 6:   Step 2 Algebraic solutions for one unknown/
  7.    wt: 6:   2 Formula Forward Use Evaluation/
  8.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  9.    wt: 6:   Volume 2 Three Skills For Algebra/
  10.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  11.    wt: 5:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 5:   2 Arithmetic with Decimals/
  13.    wt: 4:   A Origins of Counting and Figuring Methods/
  14.    wt: 4:   8 Unifying Theme For Algebra/
  15.    wt: 4:   Step 1 Stick diagram and fractions/
  16.    wt: 4:   9 Combinatorics Trees Tables and Products/
  17.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  18.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  19.    wt: 3:   12 Function Translating and Rescaling/
  20.    wt: 3:   2 Euclidean Geometry Constructions Theory extras/
  21.    wt: 3:   B Real Numbers Extrinsic Development/
  22.    wt: 3:   10 Examples of Algebraic Reasoning/
  23.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  24.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  25.    wt: 3:   4 Computation Rules and Function Notation/
  26.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  27.    wt: 3:   11 Squares and Square Roots/
  28.    wt: 3:   8 Arithmetic with Signed Numbers/
  29.    wt: 3:   7 Arithmetic and Fractions with Units/
  30.    wt: 3:   6 Fractions and Ratios/
  31.    wt: 3:   3 Prime Factorization Skills/
  32.    wt: 3:   1 Decimal Place Value/
  33.    wt: 3:   12 Webvideo Lessons on Area and Volume Calculation/
  34.    wt: 3:   Advanced Calculus Volume 3 Appendices/
  35.    wt: 3:   Work and Study Tips/
  36.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  37.    wt: 2:   3 Quadratics Geometrically/
  38.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  39.    wt: 2:   3 Cartesian and Polar Coordinates/
  40.    wt: 2:   5 Real Numbers/
  41.    wt: 2:   Step 4 Gaussian Elimination/
  42.    wt: 2:   3 Solving Linear Equations/
  43.    wt: 2:   1 Working With Sets/
  44.    wt: 2:   Algebra Starter Lessons/
  45.    wt: 2:   5 Integers/
  46.    wt: 2:   Arithmetic and Number Theory Skills/
  47.    wt: 2:   Time Date Matters/
  48.    wt: 2:   38 Lessons on Calculating Derivatives/
  49.    wt: 2:   Volume 1A Pattern Based Reason/
  50.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  51.    wt: 1:   LAMP Lean Applied Mathematics Program/
  52.    wt: 1:   Mathematics Education Essays/
  53.    wt: 1:   Volume 1A Regles et modeles/
  54.    wt: 1:   Direct Current Electric Circuits/
  55.    wt: 1:   Mathematics Skills Year by Year/
  56.    wt: 1:   4 Functions/
  57.    wt: 1:   1 Five Polynomial Operations/
  58.    wt: 1:   More Algebra/
  59.    wt: 1:   11 Parallel Straight Lines and Transversals/
  60.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  61.    wt: 1:   4 Lines and Slopes Take 1/
  62.    wt: 1:   Skills with take home value/
  63.    wt: 1:   4 Lessons on Using Derivatives/
  64.    wt: 1:   13 Lessons on Limits and Continuity/
  65.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  66.    wt: 1:   Volume 1 Elements of Reason/
  67.    wt: 1:   Resources and Reciprocal Links/
  68.    wt: 1:   Secondary Mathematics A Practical Approach/
  69.    wt: 1:   Mathematics Skill Development Framework/
  70.    wt: 10:   A Decimal Counting and Adding Methods/

Web Page Search

879 matches:

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

Extended Search

1101 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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