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

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

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


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

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

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

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

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83 matches:

  1.    wt: 9:   C Decimal Multiplication Methods/
  2.    wt: 8:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 8:   4 Remainder Arithmetic and Divisibility/
  4.    wt: 6:   Volume 1A Regles et modeles/
  5.    wt: 6:   12 Comparison of Unsigned and Signed Numbers/
  6.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 6:   9 Combinatorics Trees Tables and Products/
  8.    wt: 6:   12 Webvideo Lessons on Area and Volume Calculation/
  9.    wt: 5:   4 Lines and Slopes Take 1/
  10.    wt: 5:   3 Cartesian and Polar Coordinates/
  11.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  12.    wt: 5:   A Origins of Counting and Figuring Methods/
  13.    wt: 5:   9 Proportionality Backwards and Forwards/
  14.    wt: 5:   4 Computation Rules and Function Notation/
  15.    wt: 5:   Step 1 Stick diagram and fractions/
  16.    wt: 5:   8 Arithmetic with Signed Numbers/
  17.    wt: 5:   7 Arithmetic and Fractions with Units/
  18.    wt: 5:   2 Arithmetic with Decimals/
  19.    wt: 5:   5 Lessons on Integration/
  20.    wt: 5:   4 Lessons on Using Derivatives/
  21.    wt: 5:   38 Lessons on Calculating Derivatives/
  22.    wt: 5:   13 Lessons on Limits and Continuity/
  23.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  24.    wt: 4:   12 Function Translating and Rescaling/
  25.    wt: 4:   11 Parallel Straight Lines and Transversals/
  26.    wt: 4:   10 Intersecting Straight Lines and Transversals/
  27.    wt: 4:   9 Lines and Slopes Take 2 with tangent function/
  28.    wt: 4:   8 Unit Circle Trigonometry/
  29.    wt: 4:   6 Trigonometry first steps/
  30.    wt: 4:   6 More Less Greater Than Inequalities and Comparison/
  31.    wt: 4:   Step 4 Gaussian Elimination/
  32.    wt: 4:   11 Squares and Square Roots/
  33.    wt: 4:   6 Fractions and Ratios/
  34.    wt: 4:   1 Decimal Place Value/
  35.    wt: 4:   Time Date Matters/
  36.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  37.    wt: 3:   5 Factored Polynomial Sign Analysis Examples/
  38.    wt: 3:   3 Quadratics Geometrically/
  39.    wt: 3:   13 Vectors/
  40.    wt: 3:   7 Complex Numbers/
  41.    wt: 3:   5 What is Similarity/
  42.    wt: 3:   1 Maps Plans Measurement/
  43.    wt: 3:   B Real Numbers Extrinsic Development/
  44.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  45.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  46.    wt: 3:   Step 2 Algebraic solutions for one unknown/
  47.    wt: 3:   2 Formula Forward Use Evaluation/
  48.    wt: 3:   1 Working With Sets/
  49.    wt: 3:   5 Integers/
  50.    wt: 3:   3 Prime Factorization Skills/
  51.    wt: 3:   Advanced Calculus Volume 3 Appendices/
  52.    wt: 3:   Work and Study Tips/
  53.    wt: 3:   Secondary Mathematics A Practical Approach/
  54.    wt: 3:   PreSchool and Primary Mathematics or Quantitative Skills/
  55.    wt: 2:   LAMP Lean Applied Mathematics Program/
  56.    wt: 2:   Mathematics Education Essays/
  57.    wt: 2:   Direct Current Electric Circuits/
  58.    wt: 2:   Geometry maps plans trigonometry vectors/
  59.    wt: 2:   10 Examples of Algebraic Reasoning/
  60.    wt: 2:   8 Unifying Theme For Algebra/
  61.    wt: 2:   5 Real Numbers/
  62.    wt: 2:   3 Solving Linear Equations/
  63.    wt: 2:   Arithmetic and Number Theory Skills/
  64.    wt: 2:   70 Calculus Starter Lessons/
  65.    wt: 2:   Volume 1A Pattern Based Reason/
  66.    wt: 2:   Mathematics 506 Lessons/
  67.    wt: 1:   Archives/
  68.    wt: 1:   francais/
  69.    wt: 1:   Parent Center/
  70.    wt: 1:   Mathematics Skills Year by Year/
  71.    wt: 1:   4 Functions/
  72.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  73.    wt: 1:   1 Five Polynomial Operations/
  74.    wt: 1:   Algebra Starter Lessons/
  75.    wt: 1:   Skills with take home value/
  76.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  77.    wt: 1:   Volume 2 Three Skills For Algebra/
  78.    wt: 1:   Resources and Reciprocal Links/
  79.    wt: 1:   Quebec Material/
  80.    wt: 1:   Mathematics Skill Development Framework/
  81.    wt: 12:   D Decimal Long Division Methods/
  82.    wt: 12:   A Decimal Counting and Adding Methods/
  83.    wt: 10:   B Decimal Comparing and Subtracting Methods/

Web Page Search

828 matches:

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

Extended Search

1142 matches:

  1.    wt: 9:   4 Circle Sector Area proportional to Central Angle
  2.    wt: 9:   3 Circle Arclengh Proportional to Central Angle
  3.    wt: 9:   9 Midpoint Coordinates Half Endpoint Sum
  4.    wt: 9:   5 Cartesian Addition and Translation
  5.    wt: 9:   4 Polar Coordinates to and from
  6.    wt: 9:   PS G Rotation Distributes over Addition
  7.    wt: 9:   PS F Scalar Multiplication Distributes over Addition
  8.    wt: 9:   2 Correspondence between Triangles
  9.    wt: 9:   Short Course on Euclidean Geometry
  10.    wt: 9:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  11.    wt: 9:   E Long Division Methods more
  12.    wt: 9:   C Three Decimal Subtraction Methods
  13.    wt: 9:   6 Column Methods for Decimal Multiplication
  14.    wt: 9:   1 Decimals Modular and Remainder Arithmetic
  15.    wt: 9:   2 More and Less Than for Counts and Measures
  16.    wt: 9:   1 Formulas Dependence and Function Notation
  17.    wt: 9:   4 Greater More Less Than Signs in General
  18.    wt: 9:   2 More and Less Than with Unlike Signs
  19.    wt: 9:   17 GCD LCM of 85 and 60 via Prime
  20.    wt: 9:   16 GCD and LCM of 650 225 via Prime
  21.    wt: 9:   14 GCD of 650 110 via Primes LCM via Product Rule
  22.    wt: 9:   8 GCD from Euclidean Algorithm
  23.    wt: 9:   7 GCD and LCM from prime factorization
  24.    wt: 9:   6 GCD from Prime
  25.    wt: 9:   4 LCM of 8 and 10 via Prime
  26.    wt: 9:   2 Least Common Multiple LCM intro via list method
  27.    wt: 9:   1 Least Common Multiples LCM Introduction
  28.    wt: 9:   12 GCD 2700 288 via Prime
  29.    wt: 9:   4 Counting with Trees Product Rule Take I
  30.    wt: 9:   10 dividing signed numbers
  31.    wt: 9:   7 negative and additive inverse
  32.    wt: 9:   6 adding signed numbers
  33.    wt: 9:   4 signed coordinates for regions in space
  34.    wt: 9:   3 signed coordinates for maps and planes
  35.    wt: 9:   9 Place Value Review Decimal form of Avogrados number included
  36.    wt: 9:   Area Between Curves Lesson Take 1
  37.    wt: 9:   3 Second derivative test
  38.    wt: 9:   15 sine and cosine derivatives 3rd step
  39.    wt: 9:   14 sine and cosine derivatives 2nd step
  40.    wt: 9:   7 Evaluation by immediate or delayed substitution
  41.    wt: 9:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  42.    wt: 9:   Chapter 4 Logic for Reading Writing and Geometry etc
  43.    wt: 8:   7 logic review and decimals an odd combination
  44.    wt: 8:   13 Addition and Addition Tables
  45.    wt: 8:   10 Parallelogram Addition Method
  46.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  47.    wt: 8:   5 Head To Tail Arrow Addition
  48.    wt: 8:   Parallel Lines and Alternating Corresponding Angles
  49.    wt: 8:   SAS Method For Isometric Or Proportional Triangle Construction
  50.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  51.    wt: 8:   7 Tangent Function is odd on this domain
  52.    wt: 8:   14 cosine even and sine and tangent are odd
  53.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  54.    wt: 8:   5 Trigonometric Ratios For Tangent and Special Triangles
  55.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  56.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  57.    wt: 8:   10 Midpoint of [a b] and [b a]
  58.    wt: 8:   3 Slope product for perpendicular lines
  59.    wt: 8:   What is and is not here
  60.    wt: 8:   8 Distance Between Points on a Line
  61.    wt: 8:   Euclidean Geometry Elsewhere LINKS
  62.    wt: 8:   PS B Parallelogram Construction Methods
  63.    wt: 8:   PS A Kite Construction Methods
  64.    wt: 8:   12 Side Angle Side Failure
  65.    wt: 8:   10 Dropping a perpendicular to line
  66.    wt: 8:   8 Isoceles Triangles
  67.    wt: 8:   5 Side Angle Side
  68.    wt: 8:   3 Isometry of Triangles Congruence
  69.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  70.    wt: 8:   A Modular and Remainder Arithmetic
  71.    wt: 8:   4 Location of Point in Decimal Addition
  72.    wt: 8:   B Decimal Comparison and Subtraction
  73.    wt: 8:   8 Column Multiplication Methods in General
  74.    wt: 8:   4 Rates Ratios and Proporitionality
  75.    wt: 8:   9 Circle Area and Perimeter Formula Backwards Forwards
  76.    wt: 8:   6 Compound Interest Forward and Backwards
  77.    wt: 8:   2 Addition and Multiplication Axioms
  78.    wt: 8:   3 More and Less Than with Unlike Signs
  79.    wt: 8:   3 Geometric Formulas and Function Notation
  80.    wt: 8:   4 GE III Animated Examples
  81.    wt: 8:   3 GE III Equation Addition and Multiplication
  82.    wt: 8:   4 Two Examples
  83.    wt: 8:   13 GCD from given Prime Factorization
  84.    wt: 8:   5 Common Divisors 60 45 via Prime
  85.    wt: 8:   1 Addition and Subtraction with Units
  86.    wt: 8:   15 Adding and Subtracting with Unlike Denominators
  87.    wt: 8:   14 Adding and Subtracting with Like Denominators
  88.    wt: 8:   D Remainders Modulo 11 Pair Rule
  89.    wt: 8:   11 Adding Integers Formulas and Examples
  90.    wt: 8:   4 Adding Movements wiht opposite directions
  91.    wt: 8:   4 video Prime Factorization Introduction
  92.    wt: 8:   Practical Methods Ends and Values for Arithmetic
  93.    wt: 8:   016 Numbering Occidental Calendar Days
  94.    wt: 8:   015 School and work day counting tables
  95.    wt: 8:   010 Repeated Addition of Time Intervals
  96.    wt: 8:   8 Addition of Time Intervals via subtotaling
  97.    wt: 8:   7 Addition of Time Intervals
  98.    wt: 8:   2 Time and Date Matters in School
  99.    wt: 8:   1 Intro of Kids To Time Date Skills
  100.    wt: 8:   Example 1 volume of a pyramid
  101.    wt: 8:   Example 1
  102.    wt: 8:   Summary
  103.    wt: 8:   3 Two Chain Rule Method Exercises
  104.    wt: 8:   2 Indefinite Integrals Exercises
  105.    wt: 8:   1 Chain Rule in Reverse Integration Method
  106.    wt: 8:   4 Second derivative test exercise example
  107.    wt: 8:   2 Second derivative test prequel
  108.    wt: 8:   1 Two cubic sketching exercises with 1st derivative
  109.    wt: 8:   38 Formulas and derivatives for powers and roots
  110.    wt: 8:   36 Cube root derivative animated
  111.    wt: 8:   25 Chain Rule Animated Examples Continued
  112.    wt: 8:   13 sine and cosine derivatives 1st step
  113.    wt: 8:   7 Animated Differentiation Examples
  114.    wt: 8:   13 Limits with Parameters and Derivatives Take II
  115.    wt: 8:   12 Limits with Parameters and Derivatives Take I
  116.    wt: 8:   8 Four Animated Examples
  117.    wt: 8:   5 Jumps and absence of unlimited error control
  118.    wt: 8:   D1 Sets and Sequences GLBs and LGBs
  119.    wt: 8:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  120.    wt: 8:   Chapter 4 Implication Rules Forwards and Backwards
  121.    wt: 8:   How to Build Skills and Confidence
  122.    wt: 8:   5 Interpreting and Drawing Maps and Plans.
  123.    wt: 8:   4 Money Matters Saving Earning Buying Selling and Budgets
  124.    wt: 7:   B LAMP Introduction Curriculum Development Standards
  125.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take IV
  126.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take III
  127.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take II
  128.    wt: 7:   23 Modularized Skill Development Modularized Rigor
  129.    wt: 7:   11 Help and Defend Your Child or Teens Education
  130.    wt: 7:   16 cotangent function Definition Graph and Inverse
  131.    wt: 7:   15 cosecant function Definition Graph and Inverse
  132.    wt: 7:   14 secant function Definition Graph and Inverse
  133.    wt: 7:   13 cosecant function Definition Graph and Inverse
  134.    wt: 7:   15 Dot and Cross Product
  135.    wt: 7:   Vector and Complex Number Applet
  136.    wt: 7:   Triangle Angles Sum To 180 Degrees
  137.    wt: 7:   Parallel Lines and Interior Angles
  138.    wt: 7:   17E Trig Formulas for dot and cross Products
  139.    wt: 7:   11 tangent function undefined when terminal side vertical
  140.    wt: 7:   7 period of sine and cosine
  141.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  142.    wt: 7:   2 Quadrant I reference Angles
  143.    wt: 7:   Unit Circle Development of Trigonometry
  144.    wt: 7:   13 Trig Formulas for dot and cross Products
  145.    wt: 7:   Appetizer A Complex Number Applet
  146.    wt: 7:   8 Triangles Cascade Problem Solving
  147.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  148.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  149.    wt: 7:   3 Trigonometric Ratios sine and cosine
  150.    wt: 7:   Why Trigonometry the whyslopes view
  151.    wt: 7:   12 Links Lessons elsewhere
  152.    wt: 7:   8 Mid Point Formula
  153.    wt: 7:   7 Exercises to test skill and concept mastery
  154.    wt: 7:   4 Equations for lines three forms
  155.    wt: 7:   1 Numerical view of lines and their equations
  156.    wt: 7:   13 Pythagorean spatial distance formulas
  157.    wt: 7:   12 Spatial Coordinates
  158.    wt: 7:   10 Pythagorean plane distance formula
  159.    wt: 7:   7 Complex Numbers Appetizer
  160.    wt: 7:   6 Polar Multiplication and Rotation
  161.    wt: 7:   3 Rectangular Coordinates Review
  162.    wt: 7:   2 Cartesian Coordinates with signs
  163.    wt: 7:   1 Cartesian Coordinates sans signs
  164.    wt: 7:   PS H Distributive Law For Complex Numbers
  165.    wt: 7:   PS E Multiplication with Polar Coordinates
  166.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  167.    wt: 7:   17 Right Bisectors of Triangle Sides
  168.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  169.    wt: 7:   13 Angle Side Angle Failure
  170.    wt: 7:   7 Angle Side Angle
  171.    wt: 7:   6 Ruler and compass Angle Bisection
  172.    wt: 7:   1 Initial Concepts and Terms
  173.    wt: 7:   4 Angles on Maps Plans drawn to scale
  174.    wt: 7:   3 Lengths and Areas on Maps and Plans
  175.    wt: 7:   21 Addition of Multiples of a Single Vector
  176.    wt: 7:   18 Geometrically Why Vector Addition Commutes
  177.    wt: 7:   15 Head to Tails in place Addition Associative
  178.    wt: 7:   9 Division with Digits after Decimal Point
  179.    wt: 7:   8 Division and Mulplication of Compound Fractions
  180.    wt: 7:   5 Distributive Law for Whole Numbers
  181.    wt: 7:   4 Commutative Law Groups Counting Form
  182.    wt: 7:   3 Multiplicative Counting Skills Principles
  183.    wt: 7:   3 Proportionality Examples
  184.    wt: 7:   6 Equations and Systems Equivalent or Implied
  185.    wt: 7:   4 Subtraction and Division Axioms
  186.    wt: 7:   5 Greater More Less Than Signs in General
  187.    wt: 7:   4 Changing Letters
  188.    wt: 7:   2 Computation Rules Evaluation
  189.    wt: 7:   Skill Development Notes
  190.    wt: 7:   9 Three Examples
  191.    wt: 7:   7 Two Examples
  192.    wt: 7:   6 Three Examples
  193.    wt: 7:   5 Three Examples
  194.    wt: 7:   3 Two Examples
  195.    wt: 7:   2 Three Examples
  196.    wt: 7:   12 Cone Cylinder Sphere Lesson Idea
  197.    wt: 7:   7 Compound Interest Formula Introduction
  198.    wt: 7:   1 Written work formats for developing and showing skill
  199.    wt: 7:   10 Set View of Wordy Extensions To Arithmetic
  200.    wt: 7:   9 Sets in Probability and Statistics
  201.    wt: 7:   5 Product Builder Notation
  202.    wt: 7:   4 Subset Builder Notation
  203.    wt: 7:   3 Counting with Sets etc
  204.    wt: 7:   3 Comparison of Negative Numbers
  205.    wt: 7:   1 Squares and Square Roots Introduction
  206.    wt: 7:   9 subtracting signed numbers
  207.    wt: 7:   8 multiplying signed numbers
  208.    wt: 7:   5 lengths and signs of numbers
  209.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  210.    wt: 7:   C Equality for Fractions and Two Term Ratios and Fractions
  211.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  212.    wt: 7:   17 Efficient Ways to Add and Subtract
  213.    wt: 7:   16 Addition Subtraction Comparision Compared
  214.    wt: 7:   C Divisibility by 11 Integer Recognition Method
  215.    wt: 7:   13 Subtraction with Additive Inverse
  216.    wt: 7:   12 Adding Integers More Examples
  217.    wt: 7:   5 Zero Movement and Additive Inverses
  218.    wt: 7:   3 Adding Movements with same direction
  219.    wt: 7:   12 LCD GCD and LCM using Primes
  220.    wt: 7:   10 video Prime Factorization upto 23 squared
  221.    wt: 7:   9 video Prime Factorization upto 19 squared
  222.    wt: 7:   3 video Primes and Composites from 9 times table
  223.    wt: 7:   1 video how Products are bigger than factor
  224.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  225.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  226.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  227.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  228.    wt: 7:   2 Groups of Three Place Value for Multidigit Decimals
  229.    wt: 7:   014 Counting Days with Calendars
  230.    wt: 7:   9 Comparison and Subtraction of Time Intervals
  231.    wt: 7:   6 How long is a million seconds
  232.    wt: 7:   5 Conversion Arithmetic
  233.    wt: 7:   4 Mixing and Changing Units of Time
  234.    wt: 7:   3 Units and Lengths of Time
  235.    wt: 7:   Example 2 volume of a cone
  236.    wt: 7:   Example 4 with x function of y
  237.    wt: 7:   Example 3
  238.    wt: 7:   Example 2
  239.    wt: 7:   A Related Material in Volume 3
  240.    wt: 7:   5 Area Under Curve Exercise
  241.    wt: 7:   4 Definite Integrals Evaluation Exercises
  242.    wt: 7:   A Related lessons in Volume 3
  243.    wt: 7:   A Chain Rule Real Player video examples
  244.    wt: 7:   33 Chain Rule Real Player video examples
  245.    wt: 7:   24 Chain Rule Animated Examples
  246.    wt: 7:   18 Chain Rule Introduction
  247.    wt: 7:   17 Derivatives of quotients of sine and cosine
  248.    wt: 7:   16 Derivatives of reciprocals of sine and cosine
  249.    wt: 7:   12 Quotient rule examples
  250.    wt: 7:   3 Motivation for Limit Definition Take 2
  251.    wt: 7:   2 Motivation for Limit Definition Take 1
  252.    wt: 7:   1 Fall 1983 Why Slopes Appetizer
  253.    wt: 7:   10 Three one sided limits with infinite values
  254.    wt: 7:   9 Limits Continuity and Composition
  255.    wt: 7:   4 Numerical properties
  256.    wt: 7:   3 Decimal insights for limits continuity convergence
  257.    wt: 7:   2 Algebraic codification
  258.    wt: 7:   1 Numerical introduction
  259.    wt: 7:   Postscript One Sided and Intermediate Value Theorems
  260.    wt: 7:   G.6 Bounded Derivatives implies Lipshitz Continuity
  261.    wt: 7:   Chapter 2 Implication Rules Forwards and Backwards
  262.    wt: 7:   Postscript D Reflections on Law of the Excluded Middle
  263.    wt: 7:   S Adding words to algebra
  264.    wt: 7:   M Words to extend arithmetic
  265.    wt: 7:   Primary and Secondary Skills and Practices with Take Home Value
  266.    wt: 7:   2 Identifying Size and Position Place and Spatial Sense
  267.    wt: 7:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  268.    wt: 6:   8 analytic geometry etc
  269.    wt: 6:   5 logarithms and exponentials etc
  270.    wt: 6:   3 Euclidean Geometry Leanly
  271.    wt: 6:   2 arithmetic with signed numbers
  272.    wt: 6:   1 arithmetic with unsigned numbers
  273.    wt: 6:   fairness and inductive principles for instruction
  274.    wt: 6:   27 Graduated Correction and Penalties for Young Offenders
  275.    wt: 6:   Introduction Reading Guide
  276.    wt: 6:   4 quadratics difference of two squares
  277.    wt: 6:   Quadratics in 10 steps
  278.    wt: 6:   10 arctan left inverse of tangent Definition
  279.    wt: 6:   7 arcsin left inverse of sine Definition
  280.    wt: 6:   5 Swapping Coordinates is a reflection
  281.    wt: 6:   3 Left Inverse of cosine arccos definition
  282.    wt: 6:   11 Component Method
  283.    wt: 6:   9 Head to Tail Coordinate View
  284.    wt: 6:   2 Signed Coordinates
  285.    wt: 6:   1 Unsigned Coordinates
  286.    wt: 6:   4 graphing y=Asin(x c)
  287.    wt: 6:   Parallel Lines and Parallel Transversals
  288.    wt: 6:   Straight Lines ASA Intersection Study More
  289.    wt: 6:   Straight Lines ASA Intersection Study
  290.    wt: 6:   C Straight Lines Slope from Coordinates
  291.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  292.    wt: 6:   29 secant cosecant and cotangent for acute angles
  293.    wt: 6:   27 Logarithmic use of products of sines and cosines
  294.    wt: 6:   26 Formulas for products of sines and cosines
  295.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  296.    wt: 6:   20 sine and cosine Double Angle Formulas
  297.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  298.    wt: 6:   17D cis formulas for sine cosines and tangent
  299.    wt: 6:   17C sine and cosine double triple angle formulas
  300.    wt: 6:   10 Graphs of sines and cosines many periods
  301.    wt: 6:   9 Graphs of sine and cosine over one period
  302.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  303.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  304.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  305.    wt: 6:   11 sine and cosine double triple angle formulas
  306.    wt: 6:   8 Unit Circle Development of Trigonometry
  307.    wt: 6:   7 Second Way to Calculate Products
  308.    wt: 6:   3 Addition Properties
  309.    wt: 6:   7 Trignometric Ratios Unit Circle
  310.    wt: 6:   1 Angle Measurement with Degrees
  311.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  312.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  313.    wt: 6:   4 Similarity Definition with Coordinate
  314.    wt: 6:   Four Simple Exercises
  315.    wt: 6:   11 A Partial Summary
  316.    wt: 6:   6 Intersection of lines by solving linear systems
  317.    wt: 6:   5 Algebraic View of Slopes
  318.    wt: 6:   2 point slope equation for a line
  319.    wt: 6:   11 Triangle Inequality
  320.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  321.    wt: 6:   21 Parallelograms
  322.    wt: 6:   19 Right Triangle Similarity
  323.    wt: 6:   18 Triangle Similarity Take 1
  324.    wt: 6:   14 Parallel Lines Postulate
  325.    wt: 6:   11 Triangle Construction Fails
  326.    wt: 6:   9 Construction of a right bisector
  327.    wt: 6:   8 More Use of Maps Not Drawn to Scale
  328.    wt: 6:   2 Measuring Area Directly
  329.    wt: 6:   A Signed Number Arithmetic Review
  330.    wt: 6:   24 Signed Numbers Arithmmetic Properties
  331.    wt: 6:   23 Distributive Law Two Derivations
  332.    wt: 6:   19 Signed Multiples of Vectors
  333.    wt: 6:   14 Vector Head to Tail Sums and Resultants
  334.    wt: 6:   12 Real Numbers Line Signed Coordinates
  335.    wt: 6:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  336.    wt: 6:   7 Arithmetic with Infinite Decimal Expansions
  337.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  338.    wt: 6:   2 Counting Digits in Decimal Multiplication
  339.    wt: 6:   1 The Counting Origins of Numbers
  340.    wt: 6:   5 Areas of Rectangles Revisited
  341.    wt: 6:   5 Proportionality in Equivalent Fractions
  342.    wt: 6:   2 Algebraic View
  343.    wt: 6:   1 What is Proportionality
  344.    wt: 6:   8 Pythagorean Relation Forwards Backwards
  345.    wt: 6:   4 Rectangle Area and Like Formulas Backwards
  346.    wt: 6:   3 Product Axioms Two Forms
  347.    wt: 6:   1 Equivalent Computation Rules
  348.    wt: 6:   4 Comparison of Negative Numbers
  349.    wt: 6:   1 Real Numbers Comparison
  350.    wt: 6:   5 Gaussian Elimination for 3 unknowns 2nd example
  351.    wt: 6:   1 GE Substitution four examples
  352.    wt: 6:   4 Four Examples Fractional Coefficients
  353.    wt: 6:   10 One Example
  354.    wt: 6:   8 One Example
  355.    wt: 6:   13 Naming Identifying Formulas with Words
  356.    wt: 6:   8 Compound Interest Formula Evaluation
  357.    wt: 6:   8 Sets of Numbers
  358.    wt: 6:   7 Cautious or Safe Set Construction
  359.    wt: 6:   6 Power Set Notation
  360.    wt: 6:   2 Venn Diagrams
  361.    wt: 6:   1 Finite Sets
  362.    wt: 6:   3 Adding Words To Arithmetic
  363.    wt: 6:   3 Properties of Square Roots with example
  364.    wt: 6:   11 What are real lengths and numbers
  365.    wt: 6:   3 Multiplying Units and Numbers
  366.    wt: 6:   2 Equality and Units
  367.    wt: 6:   D Three Term Ratios
  368.    wt: 6:   B Fractions and Two Term Ratios
  369.    wt: 6:   21 Reciprocals for Fractions and Wholes
  370.    wt: 6:   20 Dividing Fractions the Why
  371.    wt: 6:   19 Dividing Fractions How TO
  372.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  373.    wt: 6:   9 Improper Fractions and Mixed Numbers
  374.    wt: 6:   19 video Prime Factorization Unique
  375.    wt: 6:   18 video Count Factors given Prime Factorization
  376.    wt: 6:   17 Identify and Count Factors using Primes
  377.    wt: 6:   16 video Factors of 980 using prime
  378.    wt: 6:   15 video Factors of 20 using Prime Factorization
  379.    wt: 6:   14 video Factors of 24 Take II
  380.    wt: 6:   13 video Factors of 24 using prime
  381.    wt: 6:   8 video Prime Factorization upto 19
  382.    wt: 6:   2 Prime and Composites less than 16
  383.    wt: 6:   11 Place Value SI Standard International way
  384.    wt: 6:   10 Names for Big Numbers and Powers of Ten Expansion
  385.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  386.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  387.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  388.    wt: 6:   Exact Arithmetic Wholes and Fractions
  389.    wt: 6:   013 Travel Time Tables
  390.    wt: 6:   012 Division of Time Intervals by Time Intervals
  391.    wt: 6:   011 Division of Time Intervals By Numbers
  392.    wt: 6:   34 Derivative of exponential function
  393.    wt: 6:   31 Derivatives of inverse functions
  394.    wt: 6:   29 Chain Rule Optional Reading
  395.    wt: 6:   28 Chain Rule Preparation for a Proof
  396.    wt: 6:   27 Chain Rule sinusoidal outer inner functions EGS
  397.    wt: 6:   8 Differentiation of polynomials
  398.    wt: 6:   6 Power rule from product rule
  399.    wt: 6:   5 Product Rule
  400.    wt: 6:   4 Sum Rule
  401.    wt: 6:   11 Limits at infinity Three Examples
  402.    wt: 6:   6 Continuity at a point
  403.    wt: 6:   G.5 Motions With Bounded Velocities
  404.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  405.    wt: 6:   Appendix D. What to do in School and Why
  406.    wt: 6:   Appendix A. Reading Guide For Next Appendices
  407.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  408.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  409.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  410.    wt: 6:   Q How Logic and Proofs extend Show Work Practices
  411.    wt: 6:   P Exact Arithmetic With Whole Numbers and Fractions
  412.    wt: 6:   H Jigsaw puzzles and problem solving
  413.    wt: 6:   G. Written work formats for developing and showing skill
  414.    wt: 6:   F. The student teacher tutor feedback loop
  415.    wt: 6:   D. Check work a must with a caution
  416.    wt: 6:   Chapter 8 Skipped Topics and Why
  417.    wt: 6:   Chapter 6 More Algebra and Geometry
  418.    wt: 6:   1 From Number Recognition and Counting to Arithmetic A
  419.    wt: 5:   Appendix 2 primary school Arithmetic 01
  420.    wt: 5:   Appendix 1 primary and preschool mathematic
  421.    wt: 5:   I LAMP Introduction Study Habits
  422.    wt: 5:   E LAMP Introduction Modern Mathematics
  423.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
  424.    wt: 5:   9 combinatorics probability sets
  425.    wt: 5:   6 polynomials etc
  426.    wt: 5:   4 algebra
  427.    wt: 5:   What is POMME
  428.    wt: 5:   what should be learnt and When
  429.    wt: 5:   five decades make a difference
  430.    wt: 5:   geometric implications for algebra
  431.    wt: 5:   Education in mathematics science and technology
  432.    wt: 5:   need for a mixed mathematics curriculum
  433.    wt: 5:   2 Conductance Resistance Duality02
  434.    wt: 5:   24 Standards For Skill Develoment Take II
  435.    wt: 5:   24 Standards For Skill Develoment
  436.    wt: 5:   17 Math Booklets for children and young teenagers
  437.    wt: 5:   4 Function notation in and beyond mathematics
  438.    wt: 5:   A Quadratics Summary
  439.    wt: 5:   9 quadratics physical and further context
  440.    wt: 5:   8 quadratics backward use of various formulas
  441.    wt: 5:   7 quadratic formulla derivation
  442.    wt: 5:   5 quadratics completing the square
  443.    wt: 5:   10 Exponential Growth and Decay Models
  444.    wt: 5:   6 Formulas for Even and Odd Roots with Logarithms
  445.    wt: 5:   12 motivation for term arctan
  446.    wt: 5:   11 arctan left inverse of tangent Graph
  447.    wt: 5:   9 motivation for name arcsin
  448.    wt: 5:   8 arcsin left inverse of sine Graph
  449.    wt: 5:   6 Graph of arccos function
  450.    wt: 5:   4 possible motivation for term arccos
  451.    wt: 5:   2 cosine function more properties
  452.    wt: 5:   1 cosine function properties
  453.    wt: 5:   A Global Time and Navigation
  454.    wt: 5:   14 Why Scalar Multiplication Distributes Physical Argument
  455.    wt: 5:   12 From Applied To Pure Mathematics
  456.    wt: 5:   6 Vectors with Coordinates
  457.    wt: 5:   4 Resultant of a Sum of Movements
  458.    wt: 5:   3 graphing y=f(x c) plus K
  459.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  460.    wt: 5:   1 graphing y=f(x a)
  461.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  462.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  463.    wt: 5:   Straight Lines Instersection Solving Equations
  464.    wt: 5:   Straight Lines Intersection of
  465.    wt: 5:   B Straight Line Slope Scaling Properties More
  466.    wt: 5:   A Straight Line Slope Scaling Properties
  467.    wt: 5:   14 Straight Lines Equations General Case
  468.    wt: 5:   12 Straight Lines Graphing mx plus b
  469.    wt: 5:   11 Straight Lines Graphing y=mx
  470.    wt: 5:   10 Straight Lines through Origin Equations More
  471.    wt: 5:   9 Straight Lines through Origin Equations
  472.    wt: 5:   8 Straight Lines Equation for vertical
  473.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  474.    wt: 5:   5 Tangent Function Graph
  475.    wt: 5:   4 Tangent Function Properties
  476.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  477.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  478.    wt: 5:   1 Straight Lines Slope Concept
  479.    wt: 5:   35 sines and cosines of 2A 3A 4A 5A
  480.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  481.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  482.    wt: 5:   31 basic secant cosecant cotangent trig identities
  483.    wt: 5:   30 unit circle calculation of six trigonometric functions
  484.    wt: 5:   28 Expressing products of sines cosines as sums
  485.    wt: 5:   25 tangent double angle formula Slope connection
  486.    wt: 5:   24 tangent Angle Difference Formula
  487.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  488.    wt: 5:   21 sine and cosine Half Angle Formulas
  489.    wt: 5:   18 sum of sinusoidal waves as a single wave
  490.    wt: 5:   17A The complex number valued trig function cis
  491.    wt: 5:   13 Graph of tangent function many periods
  492.    wt: 5:   12 Graph of tangent function for one period
  493.    wt: 5:   8 period of tangent function
  494.    wt: 5:   1 Unit Points Reflections Rotations
  495.    wt: 5:   21 Logarithms Powers and Exponentials
  496.    wt: 5:   16 References and Originality Question
  497.    wt: 5:   12 cis formulas for sine cosines and tangent
  498.    wt: 5:   9 The complex number valued trig function cis
  499.    wt: 5:   6 Field Properties of Complex Number
  500.    wt: 5:   5 An Easy Proof of the Distributive Law
  501.    wt: 5:   4 Multiplication Properties
  502.    wt: 5:   2 Complex Numbers made easier we hope
  503.    wt: 5:   1 Rectangular Polar Coordinates Review
  504.    wt: 5:   12 Triangles Similarity More Problems
  505.    wt: 5:   11 Triangle Similarity Missing Side Problem
  506.    wt: 5:   9 Similarity of Triangles Usual Criteria
  507.    wt: 5:   8 Similarity of Triangles and Polygons
  508.    wt: 5:   6 Geometric Diagrams in Class
  509.    wt: 5:   3 Similarity by Design with coordinates
  510.    wt: 5:   A Measurement with Ruler Proper Use
  511.    wt: 5:   6 Figuring with Maps Not to Scale
  512.    wt: 5:   1 Length Measurement
  513.    wt: 5:   About Folder Contents
  514.    wt: 5:   26 More Less Greater Than Comparison
  515.    wt: 5:   25 Mid way Convergence to Axiomatic Approach
  516.    wt: 5:   22 Multiplication of Signed Numbers
  517.    wt: 5:   17 Arrows Rotate to Reverse with Length Unchanged
  518.    wt: 5:   13 Arrows and Vectors in a Plane
  519.    wt: 5:   5 Fractions with Infinite Decimal Expansions
  520.    wt: 5:   3 Location of Point in Decimal Multiplication
  521.    wt: 5:   1 Fractions with Finite Decimal Expansions
  522.    wt: 5:   4 Fraction Operations Axiomatic Development
  523.    wt: 5:   2 Fraction Operations Physical Development
  524.    wt: 5:   5 Triangle Area Formula Backwards
  525.    wt: 5:   5 Equality in Algebra
  526.    wt: 5:   12 Real Number Additive Inverses or Negatives
  527.    wt: 5:   11 Real Number Addition
  528.    wt: 5:   8 Coordinates for Maps and Planes
  529.    wt: 5:   1 Whole and Natural Numbers
  530.    wt: 5:   3 Gaussian Elimination 3 unknowns first example
  531.    wt: 5:   2 GE II Comparison
  532.    wt: 5:   4 Solving a triangular system exercise
  533.    wt: 5:   5 Algebraic Solutions Introduction
  534.    wt: 5:   3 Four Examples
  535.    wt: 5:   2 Three Examples
  536.    wt: 5:   10 Volume of Pyramid
  537.    wt: 5:   9 Volume of Cone
  538.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  539.    wt: 5:   5 Box Volume Formula Example
  540.    wt: 5:   4 Circle Area Formula Example
  541.    wt: 5:   3 Triangle Area Formula Example
  542.    wt: 5:   2 Another Rectangle Area Formula Example
  543.    wt: 5:   5 Square Roots with primes more still
  544.    wt: 5:   4 Square Roots with primes more
  545.    wt: 5:   2 Square Roots with Prime
  546.    wt: 5:   7 Converting or Changing Units
  547.    wt: 5:   6 Simplification of Fractions with Units
  548.    wt: 5:   4 Fractions with Units
  549.    wt: 5:   22 Complex Compound Fractions
  550.    wt: 5:   6 Multiplication of Mixed Numbers
  551.    wt: 5:   4 Fraction Multiplication
  552.    wt: 5:   B Integer Long Division Multiple Choices
  553.    wt: 5:   8 Multiplication by Signed Numbers Integers
  554.    wt: 5:   1 Integers as Coordinates
  555.    wt: 5:   7 Calculator Usage Notes and Cautions
  556.    wt: 5:   6 Sieve of Eratosthenes and Square Rule
  557.    wt: 5:   5 Prime Factorization and a Square Rule
  558.    wt: 5:   About folder contents
  559.    wt: 5:   30Chain Rule A Proof
  560.    wt: 5:   26 Chain Rule Recognising outer inner functions
  561.    wt: 5:   23 Chain Rule in general
  562.    wt: 5:   22 Chain Rule for polynomials
  563.    wt: 5:   21 Chain Rule for powers
  564.    wt: 5:   20 Chain Rule for Pulley Systems
  565.    wt: 5:   19 Chain Rule for linear functions
  566.    wt: 5:   11 Quotient rule
  567.    wt: 5:   10 Power rule for negative integers
  568.    wt: 5:   9 Reciprocal rule
  569.    wt: 5:   G.2 Lipshitz Conditions Integration Calculus Reform
  570.    wt: 5:   G.1 First Fundamental Theorem of Calculus
  571.    wt: 5:   G.3 Constant Difference Theorem Proof
  572.    wt: 5:   G.2 Differentiable Functions Mean Value Theorem
  573.    wt: 5:   F.3 Intermediate Value Theorem
  574.    wt: 5:   F.2 Closed Range Theorem
  575.    wt: 5:   D2 Limits of Monotone Sequences
  576.    wt: 5:   C Triangle Inequalities
  577.    wt: 5:   B1 Pigeon Hole Principles from combinatorics
  578.    wt: 5:   PostScript For and Against Decimal Perspectives
  579.    wt: 5:   A1. Introduction
  580.    wt: 5:   Appendix E. How To Study Mathematics and Why
  581.    wt: 5:   Chapter 31 Direct and Indirect Reason
  582.    wt: 5:   Chapter 21. Third Reading Guide
  583.    wt: 5:   Chapter 20. Degrees and Radians
  584.    wt: 5:   Chapter 14. Forward and Backward Use of a Formula
  585.    wt: 5:   Chapter 13. Second Reading Guide
  586.    wt: 5:   Chapter 24 Direct and Indirect Reason
  587.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  588.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  589.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  590.    wt: 5:   O On Learning Mathematics and Science
  591.    wt: 5:   N Mathematics Prepare for College Studies
  592.    wt: 5:   N Improving Marks on Tests and Finals
  593.    wt: 5:   J. More on written work and showing skill
  594.    wt: 5:   I. Logic and language skills
  595.    wt: 5:   E. When and how to correct errors
  596.    wt: 5:   C. Domino effect of being careful
  597.    wt: 5:   B. Domino effect of errors
  598.    wt: 5:   A. Skill has to be seen to believed
  599.    wt: 5:   Appendix A Calculus with Proofs for Keen or Gifted
  600.    wt: 5:   Chapter 7 Calculus Previews and Calculus Lightly
  601.    wt: 5:   Chapter 3 Algebra Starter Lessons
  602.    wt: 5:   Chapter 2 Why Sets
  603.    wt: 5:   Chapter 1 Arithmetic
  604.    wt: 5:   7 Games and Activities for Instruction
  605.    wt: 5:   6 Measuring via counting or arithmetic the role of fractions
  606.    wt: 5:   3 Telling Tracking Time Temporal and More Place Sense
  607.    wt: 5:   1 From Number Recognition and Counting to Arithmetic B
  608.    wt: 5:   Ends Values Methods For Skill Development Framework Prequel
  609.    wt: 5:   Talking pdf files for online lessons a webvideo alternative
  610.    wt: 4:   K LAMP Musings Science Education
  611.    wt: 4:   J LAMP Introduction Extrinsic Origins
  612.    wt: 4:   H LAMP Introduction Instructional Concepts
  613.    wt: 4:   G LAMP Introduction Problem Solving Skills
  614.    wt: 4:   F LAMP Introduction Prerequisites
  615.    wt: 4:   A Introduction Objectives
  616.    wt: 4:   Skills Chapter 0 Introduction
  617.    wt: 4:   11 pure mathematics
  618.    wt: 4:   10 statistics
  619.    wt: 4:   three goals to set for students
  620.    wt: 4:   Applied Maths Program14092009 POMME variant
  621.    wt: 4:   links Education Resources online
  622.    wt: 4:   modern education
  623.    wt: 4:   grouping students according to ability
  624.    wt: 4:   Secondary Two Mathematics
  625.    wt: 4:   Lessening Algebra Difficulties
  626.    wt: 4:   04 25 when to stop or suspend mathemat
  627.    wt: 4:   standards for course material
  628.    wt: 4:   Different Kinds of Reasoning in maths
  629.    wt: 4:   Four ways to improve education reform
  630.    wt: 4:   How to be a better instructor
  631.    wt: 4:   Motivation and Context Problem
  632.    wt: 4:   Prequel In For A Penny In For A Pound
  633.    wt: 4:   education an empirical art
  634.    wt: 4:   words for mathematics instructor
  635.    wt: 4:   problemes algebre et arithmetique
  636.    wt: 4:   deux definitions pour variable
  637.    wt: 4:   D Energy Power04
  638.    wt: 4:   1 Conductance Resistance Duality01
  639.    wt: 4:   E Kirchoffs Second Law
  640.    wt: 4:   D Kirchoff First Law
  641.    wt: 4:   25 Mathematics Education Leaving A Good Impression
  642.    wt: 4:   22 Student Centered Highschool Mathematics
  643.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  644.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  645.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  646.    wt: 4:   14 Multiplication and Times Tables
  647.    wt: 4:   10 Ends values for work study instruction
  648.    wt: 4:   4 Learning Takes Time and Effort
  649.    wt: 4:   2 Reading and Writing Skills
  650.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  651.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  652.    wt: 4:   sign monoticity analysis example 4
  653.    wt: 4:   sign monoticity analysis example 3
  654.    wt: 4:   sign monoticity analysis example 2
  655.    wt: 4:   sign monoticity analysis example 1
  656.    wt: 4:   26 Function definitions done and coming
  657.    wt: 4:   19 Horizontal line rule and method
  658.    wt: 4:   18 Vertical Line Rule and Method
  659.    wt: 4:   11 Function Domain Range Source and Targets
  660.    wt: 4:   8 Set view of relations and functions
  661.    wt: 4:   6 Set Existence Formation and Notation
  662.    wt: 4:   1 Geometric Introduction of Function Notation
  663.    wt: 4:   10 quadratic exercises
  664.    wt: 4:   6 quadratics numerical approach
  665.    wt: 4:   3 quadratics factoring by inspection
  666.    wt: 4:   2 quadratics graphing in general
  667.    wt: 4:   1 quadratics graphing exercises
  668.    wt: 4:   4 Polynomials Long division linear divisor
  669.    wt: 4:   13 Velocity Vectors in Physics
  670.    wt: 4:   8 Parallel Vectors
  671.    wt: 4:   3 Navigation with Arrows or Vectors
  672.    wt: 4:   17 tangent function angle sum formulas
  673.    wt: 4:   32 seven rows of pascals triangle
  674.    wt: 4:   17G Pythagorean Theorem Converse
  675.    wt: 4:   17F Law of cosines
  676.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  677.    wt: 4:   16 Right Triangle Complementary Angle Relations
  678.    wt: 4:   15 sine cosine Complementary Angle Relations
  679.    wt: 4:   20 N th Roots of Complex Numbers
  680.    wt: 4:   19 N th Roots of Unity
  681.    wt: 4:   18 Sixth Roots of Unity
  682.    wt: 4:   17 Cube Roots of unity
  683.    wt: 4:   15 Pythagorean Theorem Converse
  684.    wt: 4:   14 Law of cosines
  685.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  686.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  687.    wt: 4:   7 Translations Rotations Reflections Dilatations
  688.    wt: 4:   2 Similarity By Design
  689.    wt: 4:   musings do not puiblish real numbers
  690.    wt: 4:   16 Collinear Horizontal Arrows Vectors
  691.    wt: 4:   3 Inequalities Algebraically
  692.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  693.    wt: 4:   3 Linear Equation Literal Solution More
  694.    wt: 4:   2 Linear Equation Literal Solution
  695.    wt: 4:   1 Changing Calculations
  696.    wt: 4:   15 Real Number Division
  697.    wt: 4:   10 Real Number Lengths and Signs
  698.    wt: 4:   9 Coordinates for Regions in Space
  699.    wt: 4:   7 Real Numbers as Line Cordinates
  700.    wt: 4:   6 Unsigned Real Numbers
  701.    wt: 4:   5 Rational Numbers More
  702.    wt: 4:   4 Rational Numbers
  703.    wt: 4:   3 Fractions
  704.    wt: 4:   2 Integers
  705.    wt: 4:   3 Solving triangular system example
  706.    wt: 4:   2 Essentially one exercises three with solution
  707.    wt: 4:   1 Essentially One Unknown
  708.    wt: 4:   6 Algebraic Solution Example
  709.    wt: 4:   1 Proper Equal Sign Usage
  710.    wt: 4:   Using Letters for Physical Quantities
  711.    wt: 4:   Formula Usage Show Work Format
  712.    wt: 4:   11 Volume of Sphere
  713.    wt: 4:   About Folder Contents
  714.    wt: 4:   arithmetic videos Real Player Format
  715.    wt: 4:   21 Working With Signs
  716.    wt: 4:   18 Efficient Ways to Multiply
  717.    wt: 4:   13 Fraction Comparison Algebraic View
  718.    wt: 4:   12 Fraction Comparison
  719.    wt: 4:   11 Simplification an Algebraic View
  720.    wt: 4:   8 Numerals Fractionals Quantals Take II
  721.    wt: 4:   7 Numerals Fractionals Quantals
  722.    wt: 4:   6 Multiplication Algebraically Take II
  723.    wt: 4:   5 Equivalent Fractions
  724.    wt: 4:   3 Unit fraction of a fraction
  725.    wt: 4:   2 Unit Fraction Multiplication
  726.    wt: 4:   1 What is a fraction Take II
  727.    wt: 4:   1 What is a fraction
  728.    wt: 4:   Fraction Operations by Raising Terms A Simple Innovation
  729.    wt: 4:   A Associative Law Theorectical Note
  730.    wt: 4:   10 Integer Multiplication Formulas
  731.    wt: 4:   9 Multiplying Integers
  732.    wt: 4:   7 Multiplication by Signs
  733.    wt: 4:   6 Multiplication by Natural Numbers
  734.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  735.    wt: 4:   20 Uniqueness of Prime Factorization
  736.    wt: 4:   11 Efficient Square Rule Use
  737.    wt: 4:   Quick history of numbers and algebra
  738.    wt: 4:   Formula Evaluation how to show work
  739.    wt: 4:   Expression Evaluation how to show work
  740.    wt: 4:   G.4 Lipschitz Continuity implies EquiContinuity
  741.    wt: 4:   F.5b Extreme Value Theorem
  742.    wt: 4:   F.5a Equicontinuity Theorems
  743.    wt: 4:   F.4 Finite Covering Theorem
  744.    wt: 4:   F.1 What Functions are Continuous
  745.    wt: 4:   E2 Algebraic Properties of Limits
  746.    wt: 4:   E1 Error Control Inequalities
  747.    wt: 4:   B3 Bolzano Weierstrass Theorem
  748.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  749.    wt: 4:   Appendix C. How to Read
  750.    wt: 4:   Chapter 29 Contrapositive and Vacuously True Implications
  751.    wt: 4:   Chapter 25. Mathematical Induction Examples
  752.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  753.    wt: 4:   Chapter 19. Functions and Sets
  754.    wt: 4:   Chapter 12. Shorthand Usage Guide
  755.    wt: 4:   Chapter 10 Describing and Changing Calculations
  756.    wt: 4:   Foreword
  757.    wt: 4:   Chapter 22 Contrapositive and Vacuously True Implications
  758.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  759.    wt: 4:   Chapter 18 Sense and Knowledge
  760.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  761.    wt: 4:   Foreword
  762.    wt: 4:   R Why Learn Mathematics Skills
  763.    wt: 4:   L Skills with take home value
  764.    wt: 4:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  765.    wt: 3:   Ramblings Introduction Algebra Essay
  766.    wt: 3:   Skills Chapter 2 Geometry
  767.    wt: 3:   Skills Chapter 1 Arithmetic
  768.    wt: 3:   website reviews
  769.    wt: 3:   Teach the teachers plus goals
  770.    wt: 3:   Math Ed if it must be short make it lean effective
  771.    wt: 3:   activities for students
  772.    wt: 3:   site eurekas
  773.    wt: 3:   About site lesson plans
  774.    wt: 3:   key notes and themes
  775.    wt: 3:   Mathematics Education Professors
  776.    wt: 3:   teacher certification
  777.    wt: 3:   Postscript 2007 01 10
  778.    wt: 3:   Education Reform Inconsistencies
  779.    wt: 3:   Maps Plans Drawings
  780.    wt: 3:   how letters appear
  781.    wt: 3:   Secondary Three Mathematics
  782.    wt: 3:   Secondary One Mathematics
  783.    wt: 3:   three difficulties
  784.    wt: 3:   What to Tell Students
  785.    wt: 3:   three goals for Mathematics Education
  786.    wt: 3:   05 13 OldSiteEntrancePage
  787.    wt: 3:   04 29 New Mathematics Curriculum
  788.    wt: 3:   02 21 words for teachers
  789.    wt: 3:   02 20 mathematics education references
  790.    wt: 3:   three aims for mathematics students
  791.    wt: 3:   Theory of Knowledge
  792.    wt: 3:   three kinds of reason in mathematics
  793.    wt: 3:   Leaner mathematics curriculum
  794.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  795.    wt: 3:   logique deux enigme
  796.    wt: 3:   4 Energy Power Heat09
  797.    wt: 3:   F Wire Resistance Calculation04
  798.    wt: 3:   D Wire Resistance Calculation02
  799.    wt: 3:   1 Like resistors in series
  800.    wt: 3:   H Series Circuit02
  801.    wt: 3:   G Series Circuit01
  802.    wt: 3:   F Unlike Resistors in Series
  803.    wt: 3:   C Electromotive force conventional current02
  804.    wt: 3:   B Electromotive force conventional current01
  805.    wt: 3:   A Circuit Elements
  806.    wt: 3:   16 Secondary Mathematics Tips
  807.    wt: 3:   12 Goals and Objectives For Mathematics
  808.    wt: 3:   9 Streaming by Student Cooperation
  809.    wt: 3:   7 Student Motivation
  810.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  811.    wt: 3:   5 Patience Please for Yourself and Your Charges
  812.    wt: 3:   3 Preparing for Science Studies
  813.    wt: 3:   Ages 12 to 14 Geometry
  814.    wt: 3:   Ages 12 to 14 Arithmetic
  815.    wt: 3:   Ages 10 to 12 Geometry
  816.    wt: 3:   Ages 10 to 12 Arithmetic
  817.    wt: 3:   Ages 4 plus to 5 plus
  818.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  819.    wt: 3:   20 Interchanging coordinates a reflection
  820.    wt: 3:   9 Set theory term relation possible origins
  821.    wt: 3:   7 Functions with finite domains
  822.    wt: 3:   5 Function notation for geometric transformations
  823.    wt: 3:   11 Growth and Decay in Biology
  824.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  825.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  826.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  827.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  828.    wt: 3:   3 Polynomials Multiplication Addition
  829.    wt: 3:   2 Column Multiplication Method
  830.    wt: 3:   1 Early Concept of Like or Similar Shapes
  831.    wt: 3:   16 Real Numbers Comparison
  832.    wt: 3:   14 Real Number Multiplication
  833.    wt: 3:   13 Real Number Subtraction
  834.    wt: 3:   More Exercises
  835.    wt: 3:   Simple Exercises
  836.    wt: 3:   5 Talking about Numbers and Quantities
  837.    wt: 3:   4 A Brief Story of numbers and algebra
  838.    wt: 3:   The 20 Times Table
  839.    wt: 3:   The 12 Times Table Visually
  840.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  841.    wt: 3:   Chapter 21 Arrow Addition
  842.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  843.    wt: 3:   Chapter 10 Slopes and Units
  844.    wt: 3:   Chapter 1.Introduction
  845.    wt: 3:   Fall 1983 Calculus Appetizer
  846.    wt: 3:   Foreword
  847.    wt: 3:   Postscript More on Better Performance
  848.    wt: 3:   Postscript For Better Performance
  849.    wt: 3:   Appendix B. How To Learn
  850.    wt: 3:   Chapter 30 Truth Tables
  851.    wt: 3:   Chapter 28 Occurrence Tables
  852.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  853.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  854.    wt: 3:   Chapter 18. Rules for Algebra
  855.    wt: 3:   Chapter 16. Painless Theorem Proving
  856.    wt: 3:   Chapter 11. Why Shorthand
  857.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  858.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  859.    wt: 3:   Postscript B More on Story Telling and Reason
  860.    wt: 3:   Chapter 23 Truth Tables
  861.    wt: 3:   Chapter 21 Occurrence Tables
  862.    wt: 3:   Chapter 11 Accidental Patterns
  863.    wt: 3:   Chapter 10 Responsibility
  864.    wt: 3:   Chapter 5 Deception
  865.    wt: 3:   Chapter 2 Skill Development
  866.    wt: 3:   Chapter 1 Introduction
  867.    wt: 3:   Three Remarks
  868.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  869.    wt: 3:   H more Routine to non routine problem solving
  870.    wt: 3:   Helping the Blind in Logic and Mathematics
  871.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  872.    wt: 3:   More Algebra and Slope based Calculus Preview
  873.    wt: 3:   Road Safety Questions
  874.    wt: 2:   Skills Chapter 5 Calculus
  875.    wt: 2:   Skills Chapter 4 Logic
  876.    wt: 2:   Ramblings Extrinsic numbers theory
  877.    wt: 2:   Skills Chapter 3 Algebra
  878.    wt: 2:   why bother
  879.    wt: 2:   which way to go
  880.    wt: 2:   permissions for teachers
  881.    wt: 2:   site origins
  882.    wt: 2:   learning takes time
  883.    wt: 2:   mathematics in context
  884.    wt: 2:   talk the algebra talk
  885.    wt: 2:   teaching tips
  886.    wt: 2:   mathematics curriculum shifts
  887.    wt: 2:   teaching tutoring algebraic reason
  888.    wt: 2:   the trouble with algebra
  889.    wt: 2:   Operational Viewpoint to Value
  890.    wt: 2:   formal or informal peer review
  891.    wt: 2:   mathematics instruction in general
  892.    wt: 2:   cultivating intelligence
  893.    wt: 2:   liens
  894.    wt: 2:   Trois Notions qui menent a algebre
  895.    wt: 2:   3 Energy Power Heat08
  896.    wt: 2:   2 Energy Power Heat07
  897.    wt: 2:   1 Energy Power Heat06
  898.    wt: 2:   E Energy Power05
  899.    wt: 2:   C Energy Power03
  900.    wt: 2:   B Energy Power02
  901.    wt: 2:   A Energy Power01
  902.    wt: 2:   E Wire Resistance Calculation03
  903.    wt: 2:   C Wire Resistance Calculation01
  904.    wt: 2:   B Wire Resistance Qualitative02
  905.    wt: 2:   A Wire Resistance Qualitative01
  906.    wt: 2:   3 Like resistors in parallel
  907.    wt: 2:   2 Unlike resistors in parallel01
  908.    wt: 2:   Home Tutoring and Home Schooling
  909.    wt: 2:   18 Primary School Mathematics
  910.    wt: 2:   15 Counting For Parents
  911.    wt: 2:   8 The Effect of Negative Remarks
  912.    wt: 2:   1 Speaking Skills
  913.    wt: 2:   Ages 12 to 14 Skills with take home value
  914.    wt: 2:   Ages 9 to 10
  915.    wt: 2:   Ages 8 to 9
  916.    wt: 2:   Ages 7 to 8
  917.    wt: 2:   Ages 6 to 7
  918.    wt: 2:   Ages 3 plus to 4 plus
  919.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  920.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  921.    wt: 2:   17 Function maxima minima and their location
  922.    wt: 2:   16 Increasing or decreasing on intervals
  923.    wt: 2:   12 Function Domain Recognition Exercises
  924.    wt: 2:   10 Interval Notation
  925.    wt: 2:   3 Formula or function graphing exercise
  926.    wt: 2:   2 Algebraic use of function notation
  927.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  928.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  929.    wt: 2:   5 Natural Logarithm Calculator Exercises
  930.    wt: 2:   2 Square Root Simplification a prequel
  931.    wt: 2:   1 Calculator Starter Exercises
  932.    wt: 2:   7 Links Lessons Elsewhere
  933.    wt: 2:   1 Polynomials Distributive Law
  934.    wt: 2:   Rewriting algebraic substitution as function substitutions
  935.    wt: 2:   6 Three Notions of What is a Variable
  936.    wt: 2:   2 What is a Variable
  937.    wt: 2:   1 Three Skills For Algebra
  938.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  939.    wt: 2:   Chapter 23 Links To Trigonometry
  940.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  941.    wt: 2:   Chapter 12. Units and Slopes
  942.    wt: 2:   Chapter 8. Slope Interpretation
  943.    wt: 2:   Chapter 7 Slopes and Velocity
  944.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  945.    wt: 2:   Chapter 4. More Slope Sign Analysis
  946.    wt: 2:   Chapter 2. Slopes and Ski Trails
  947.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  948.    wt: 2:   Chapter 23. Notation For Sums
  949.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  950.    wt: 2:   Chapter 15. Solving Linear Equations
  951.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  952.    wt: 2:   Chapter 8 Three Skills For Algebra
  953.    wt: 2:   Solutions For Arithmetic Exercises
  954.    wt: 2:   Chapter 6 Change of Language
  955.    wt: 2:   Chapter 4 Longer Chains of Reason
  956.    wt: 2:   Chapter 3 Chains of Reason
  957.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  958.    wt: 2:   Foreword
  959.    wt: 2:   Postscript C Consistency as a Tool for Reason
  960.    wt: 2:   Postscript A Story Telling
  961.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  962.    wt: 2:   Chapter 15 Objective Processes
  963.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  964.    wt: 2:   Chapter 8 Change of Language
  965.    wt: 2:   Chapter 7 Longer Chains of Reason
  966.    wt: 2:   Chapter 6 Chains of Reason
  967.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  968.    wt: 2:   Mathematics Education References
  969.    wt: 2:   Mathematics Education References
  970.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  971.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  972.    wt: 2:   Systematic Algebra Skill Development Missing Links
  973.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  974.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  975.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  976.    wt: 2:   Which Way To Go
  977.    wt: 2:   The Math Forum and Site Content
  978.    wt: 1:   problemes responses
  979.    wt: 1:   23 Inverse Functions
  980.    wt: 1:   22 Square Root function graphically
  981.    wt: 1:   15 Sign analysis of functions
  982.    wt: 1:   14 Surjections Injections Bijections
  983.    wt: 1:   13 From one to one to many to one
  984.    wt: 1:   8 Notes for instructors or tutors
  985.    wt: 1:   Chapter 22 Complex Numbers
  986.    wt: 1:   Chapter 18. Slopes Areas Integration
  987.    wt: 1:   Chapter 17. Area Approximation
  988.    wt: 1:   Chapter 16. Velocity Approximation
  989.    wt: 1:   Chapter 15. Slope Approximation
  990.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  991.    wt: 1:   Chapter 13. Acceleration
  992.    wt: 1:   Chapter 11. Graphing Slope versus Position
  993.    wt: 1:   Chapter 9 About First Courses in Calculus
  994.    wt: 1:   Chapter 5. Slope Sign Tests
  995.    wt: 1:   Chapter 3. Slope Sign Analysis
  996.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  997.    wt: 1:   Postscript What is a Variable
  998.    wt: 1:   Annotated Links to Material Elsehwere
  999.    wt: 1:   Postscript B Mathematics Education References
  1000.    wt: 1:   Chapter 10 Transition
  1001.    wt: 1:   Chapter 9 The Two Ends
  1002.    wt: 1:   Chapter 8 Modern Instruction
  1003.    wt: 1:   Chapter 7 Two Treatments of Geometry
  1004.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  1005.    wt: 1:   Chapter 3 Algebra Difficulties
  1006.    wt: 1:   Chapter 2 For and Against Mathematics
  1007.    wt: 1:   Chapter 1 Introduction
  1008.    wt: 1:   Implementation Notes
  1009.    wt: 1:   Site Reviews
  1010.    wt: 18:   6. Counting and adding units and mixed units
  1011.    wt: 17:   Long Division forwards and backwards Example 3
  1012.    wt: 17:   Long Division forwards and backwards Example 2
  1013.    wt: 17:   Long Division forwards and backwards Example 1
  1014.    wt: 17:   6 Why Decimal Long Division Methods Works Take I
  1015.    wt: 17:   4 Division with 2 Digit Divsors
  1016.    wt: 17:   7 Adding decimal fractions using decimal point
  1017.    wt: 17:   5. How to add decimals C. Examples
  1018.    wt: 17:   4. How to add with decimals B with conversions
  1019.    wt: 16:   3 Division Single Digit Divisor Example
  1020.    wt: 16:   2 Division with Single Digit Divisors
  1021.    wt: 16:   D Decimal Multiplication Methods Derived
  1022.    wt: 16:   Appendix 1 Counting Revisited 15 minute video
  1023.    wt: 16:   3. How to add with decimals A sans conversions
  1024.    wt: 15:   chapitre 04 07 RepetablesEtReproductibles
  1025.    wt: 15:   chapitre 04 00 Les regles d implication
  1026.    wt: 15:   Long Division Backwards more
  1027.    wt: 15:   Long Division Backward
  1028.    wt: 15:   Division with Counts and Length
  1029.    wt: 15:   11 Another Single Digit Divisor Example
  1030.    wt: 15:   10 Division by Five Long and Short Ways
  1031.    wt: 15:   5 Long Division Include Zeroes or not
  1032.    wt: 15:   1 Divsion Physical Examples
  1033.    wt: 15:   Appendix 2 Three Decimal Subtraction Methods
  1034.    wt: 15:   Appendix 1 Decimals Comparison Method Take II
  1035.    wt: 15:   1. Explaining Addition Table
  1036.    wt: 14:   chapitre 12 00 les iles et division
  1037.    wt: 14:   1 Degrees and Radians Introduction
  1038.    wt: 14:   A Decimals Modular and Remainder Arithmetic
  1039.    wt: 14:   7 Remainder Arithmetic Modulo 5 Examples I
  1040.    wt: 14:   12 Why Long Division Works Take III
  1041.    wt: 14:   9 Why Long Division Works Take II
  1042.    wt: 14:   7 Long Divison Mistake Catching
  1043.    wt: 14:   4 Subtraction with Conversions Borrows and Letter J
  1044.    wt: 14:   8 What skills and work habits to require
  1045.    wt: 14:   2 Decimal Counting Practices
  1046.    wt: 13:   chapitre 04 09 Regles accidentelles
  1047.    wt: 13:   16 Angles Subtended By Chords and Diameters
  1048.    wt: 13:   23 Remainder Arithmetic Modulo 2
  1049.    wt: 13:   22 Remainder Arithmetic Modulo 3 more
  1050.    wt: 13:   21 Remainder Arithmetic Modulo 3
  1051.    wt: 13:   16 Remainder Arithmetic Modulo 9 Example 2
  1052.    wt: 13:   15 Remainder Arithmetic Modulo 9 Example
  1053.    wt: 13:   14 Remainder Arithmetic Modulo 9 Example
  1054.    wt: 13:   13 Remainder Arithmetic Modulo 5 Example
  1055.    wt: 13:   12 Remainder Arithmetic Modulo 10 Example
  1056.    wt: 13:   11 Remainder Arithmetic Long Division by 5 Quickly more
  1057.    wt: 13:   10 Remainder Arithmetic Long Division by 5 Quickly
  1058.    wt: 13:   9 Remainder Arithmetic Divisibility by 5
  1059.    wt: 13:   8 Remainder Arithmetic Morulo 5 Examples II
  1060.    wt: 13:   6 Remainder Arithmetic Modulo 5 Propertie
  1061.    wt: 13:   5 Remainder Arithmetic Modulo 5
  1062.    wt: 13:   4 Remainder Arithmetic Modulo 10 in general
  1063.    wt: 13:   3 Remainder Arithmetic Modulos 10 more still
  1064.    wt: 13:   2 Remainder Arithmetic Modulo 10 more
  1065.    wt: 13:   1 Remainder Arithmetic Modulo 10
  1066.    wt: 13:   8 Correcting the Mistake
  1067.    wt: 13:   4 Two and Three Digit Multipliers
  1068.    wt: 13:   Video Decimal Multiplication Geometric View Example 2
  1069.    wt: 13:   Video Decimal Multiplication Geometric View Example 2
  1070.    wt: 13:   Subtraction Another Video Lesson
  1071.    wt: 13:   3 Harder Cases Convert to Compare and Subtract
  1072.    wt: 13:   1 Comparison and Subtraction Easy Direct Cases
  1073.    wt: 12:   chapitre 07 00 Des chaines plus longues de la raison
  1074.    wt: 12:   chapitre 04 04 Parlons de la logique
  1075.    wt: 12:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  1076.    wt: 12:   chapitre 02 00 La Communication des idees
  1077.    wt: 12:   9 Summary Degrees to Radians and back
  1078.    wt: 12:   25 Divisibility Tests for 2 3 5 9 10 Example
  1079.    wt: 12:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  1080.    wt: 12:   19 Remainder Arithmetic Rule of 9 for checking sums III
  1081.    wt: 12:   18 Remainder Arithmetic Rule of 9 for checking sums II
  1082.    wt: 12:   17 Remainder Arithmetic Rule of 9 for checking sums I
  1083.    wt: 12:   A Elementary Basis for Multiplication Methods
  1084.    wt: 12:   Video Power Notation in Decimal Expansion
  1085.    wt: 12:   Subtraction with J Conversions Example
  1086.    wt: 12:   9 22 Minute Subtraction Review Video
  1087.    wt: 12:   7 Subtraction for Decimal Fractions with Exercises
  1088.    wt: 12:   2 Subtraction Easy Case Examples
  1089.    wt: 11:   chapitre 07 01 principle D induction mathematique
  1090.    wt: 11:   chapitre 06 00 Chaines de la raison
  1091.    wt: 11:   chapitre 05 00 Deception
  1092.    wt: 11:   chapitre 04 10 Etapes pour une meilleur raison
  1093.    wt: 11:   chapitre 04 08 Limitations et benefices
  1094.    wt: 11:   chapitre 04 05 Implication versus suggestion
  1095.    wt: 11:   chapitre 04 02 Deuxieme enigme
  1096.    wt: 11:   chapitre 03 A Propos Des Prochains Chapitre
  1097.    wt: 11:   chapitre 01 00 Introduction
  1098.    wt: 11:   8 Radian Measures of Common Angles
  1099.    wt: 11:   7 Radian Measures in special Triangles
  1100.    wt: 11:   6 Radian Measure to Degrees
  1101.    wt: 11:   5 Degrees to Radian Measure
  1102.    wt: 11:   2 Radian Measure Numerical Value of one degree
  1103.    wt: 11:   Construction Methods and Criteria for Isometric and Similar Triangles
  1104.    wt: 11:   A Decimal Addition Columm Methods
  1105.    wt: 11:   5 Independent versus Dependent Variables
  1106.    wt: 11:   1 Counting and Counting Methods I
  1107.    wt: 11:   27 Divisibility by 2 3 6 5 9 10 Example
  1108.    wt: 11:   26 Divisibility by 2 3 5 Example
  1109.    wt: 11:   24 Divisibility Tests for 2 3 5 9 10
  1110.    wt: 11:   6 Multiplication Commutes Order Not Important
  1111.    wt: 11:   5 Decimal Fraction Multiplication
  1112.    wt: 11:   3 More One Digit Multipliers
  1113.    wt: 11:   2 One Digit Multipliers
  1114.    wt: 11:   8 Subtraction with Units of Measure
  1115.    wt: 11:   6 Subtraction with Conversion Example with Exercises
  1116.    wt: 11:   5 A Tip for Efficent Subtraction
  1117.    wt: 11:   Area Between Crossing Curves Lesson Take 1
  1118.    wt: 10:   chapitre 04 06 engagements
  1119.    wt: 10:   chapitre 04 01 Premiere enigme
  1120.    wt: 10:   PS D Addition with Cartesian Coordinates
  1121.    wt: 10:   4 Side Side Side
  1122.    wt: 10:   11 Signed Number Addition and Addition Properties
  1123.    wt: 10:   D Long Division Methods
  1124.    wt: 10:   7 Decimals Multiplication Methods Examples
  1125.    wt: 10:   2 Combing Counts Addition Skills and Principles
  1126.    wt: 10:   1 More and Less Than for Counts and Measures
  1127.    wt: 10:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  1128.    wt: 10:   11 GCD 2700 288 via Euclid Algorithm
  1129.    wt: 10:   10 Euclid Algorithm with 129 125 and with 45 14
  1130.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1131.    wt: 10:   LCM 60 45 Avoid List Method Use Prime
  1132.    wt: 10:   5 Counting with Tables Trees Product Rule Take II
  1133.    wt: 10:   3 Counting with Tables and Trees II
  1134.    wt: 10:   2 Counting with Tables and Trees I
  1135.    wt: 10:   2 signed and unsigned numbers as coordinates
  1136.    wt: 10:   C Counting Areas with Powers of Ten
  1137.    wt: 10:   B Powers of Ten
  1138.    wt: 10:   1 Why 3 times 5 gives 15
  1139.    wt: 10:   Volume of Solid by Cross Sections Lesson
  1140.    wt: 10:   Example 1. Area Between x and x squared
  1141.    wt: 10:   Area Between Crossing Curves Lesson Take 2
  1142.    wt: 10:   Area Between Curves Lesson Take 2
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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