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

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

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

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

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

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

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

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69 matches:

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

Web Page Search

592 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   02 21 words for teachers
  3.    wt: 4:   8 Notes for instructors or tutors
  4.    wt: 4:   1 Three Skills For Algebra
  5.    wt: 4:   Chapter 8 Three Skills For Algebra
  6.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  7.    wt: 3:   formal or informal peer review
  8.    wt: 3:   words for mathematics instructor
  9.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  10.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  11.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  12.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  13.    wt: 3:   26 Formulas for products of sines and cosines
  14.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  15.    wt: 3:   12 cis formulas for sine cosines and tangent
  16.    wt: 3:   4 Equations for lines three forms
  17.    wt: 3:   2 More and Less Than for Counts and Measures
  18.    wt: 3:   Formula Usage Show Work Format
  19.    wt: 3:   1 Written work formats for developing and showing skill
  20.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  21.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  22.    wt: 3:   12 GCD 2700 288 via Prime
  23.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  24.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  25.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  26.    wt: 3:   15 video Factors of 20 using Prime Factorization
  27.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  28.    wt: 3:   22 Chain Rule for polynomials
  29.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  30.    wt: 3:   G. Written work formats for developing and showing skill
  31.    wt: 2:   Skills Chapter 3 Algebra
  32.    wt: 2:   Skills Chapter 2 Geometry
  33.    wt: 2:   three goals to set for students
  34.    wt: 2:   geometric implications for algebra
  35.    wt: 2:   teaching tutoring algebraic reason
  36.    wt: 2:   three goals for Mathematics Education
  37.    wt: 2:   04 25 when to stop or suspend mathemat
  38.    wt: 2:   02 20 mathematics education references
  39.    wt: 2:   three aims for mathematics students
  40.    wt: 2:   Prequel In For A Penny In For A Pound
  41.    wt: 2:   fairness and inductive principles for instruction
  42.    wt: 2:   2 Conductance Resistance Duality02
  43.    wt: 2:   2 Unlike resistors in parallel01
  44.    wt: 2:   C Electromotive force conventional current02
  45.    wt: 2:   24 Standards For Skill Develoment Take II
  46.    wt: 2:   24 Standards For Skill Develoment
  47.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  48.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  49.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  50.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  51.    wt: 2:   22 Student Centered Highschool Mathematics
  52.    wt: 2:   12 Goals and Objectives For Mathematics
  53.    wt: 2:   10 Ends values for work study instruction
  54.    wt: 2:   2 Reading and Writing Skills
  55.    wt: 2:   Ages 12 to 14 Skills with take home value
  56.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  57.    wt: 2:   22 Square Root function graphically
  58.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  59.    wt: 2:   20 Interchanging coordinates a reflection
  60.    wt: 2:   9 Set theory term relation possible origins
  61.    wt: 2:   5 Function notation for geometric transformations
  62.    wt: 2:   3 Formula or function graphing exercise
  63.    wt: 2:   2 Algebraic use of function notation
  64.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  65.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  66.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  67.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  68.    wt: 2:   12 motivation for term arctan
  69.    wt: 2:   2 cosine function more properties
  70.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  71.    wt: 2:   6 Vectors with Coordinates
  72.    wt: 2:   3 Navigation with Arrows or Vectors
  73.    wt: 2:   2 Signed Coordinates
  74.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  75.    wt: 2:   10 Straight Lines through Origin Equations More
  76.    wt: 2:   29 secant cosecant and cotangent for acute angles
  77.    wt: 2:   25 tangent double angle formula Slope connection
  78.    wt: 2:   24 tangent Angle Difference Formula
  79.    wt: 2:   21 sine and cosine Half Angle Formulas
  80.    wt: 2:   20 sine and cosine Double Angle Formulas
  81.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  82.    wt: 2:   17G Pythagorean Theorem Converse
  83.    wt: 2:   17E Trig Formulas for dot and cross Products
  84.    wt: 2:   17D cis formulas for sine cosines and tangent
  85.    wt: 2:   12 Graph of tangent function for one period
  86.    wt: 2:   15 Pythagorean Theorem Converse
  87.    wt: 2:   13 Trig Formulas for dot and cross Products
  88.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  89.    wt: 2:   12 Triangles Similarity More Problems
  90.    wt: 2:   2 point slope equation for a line
  91.    wt: 2:   13 Pythagorean spatial distance formulas
  92.    wt: 2:   12 Spatial Coordinates
  93.    wt: 2:   10 Pythagorean plane distance formula
  94.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  95.    wt: 2:   2 Cartesian Coordinates with signs
  96.    wt: 2:   2 Correspondence between Triangles
  97.    wt: 2:   26 More Less Greater Than Comparison
  98.    wt: 2:   22 Multiplication of Signed Numbers
  99.    wt: 2:   21 Addition of Multiples of a Single Vector
  100.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  101.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  102.    wt: 2:   12 Real Numbers Line Signed Coordinates
  103.    wt: 2:   2 Combing Counts Addition Skills and Principles
  104.    wt: 2:   2 Algebraic View
  105.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  106.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  107.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  108.    wt: 2:   12 Real Number Additive Inverses or Negatives
  109.    wt: 2:   9 Coordinates for Regions in Space
  110.    wt: 2:   8 Coordinates for Maps and Planes
  111.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  112.    wt: 2:   2 Essentially one exercises three with solution
  113.    wt: 2:   2 Three Examples
  114.    wt: 2:   2 Three Examples
  115.    wt: 2:   13 Naming Identifying Formulas with Words
  116.    wt: 2:   2 Another Rectangle Area Formula Example
  117.    wt: 2:   4 A Brief Story of numbers and algebra
  118.    wt: 2:   2 More and Less Than with Unlike Signs
  119.    wt: 2:   1 More and Less Than for Counts and Measures
  120.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  121.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  122.    wt: 2:   4 signed coordinates for regions in space
  123.    wt: 2:   3 signed coordinates for maps and planes
  124.    wt: 2:   2 signed and unsigned numbers as coordinates
  125.    wt: 2:   22 Complex Compound Fractions
  126.    wt: 2:   21 Working With Signs
  127.    wt: 2:   21 Reciprocals for Fractions and Wholes
  128.    wt: 2:   12 Adding Integers More Examples
  129.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  130.    wt: 2:   26 Divisibility by 2 3 5 Example
  131.    wt: 2:   23 Remainder Arithmetic Modulo 2
  132.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  133.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  134.    wt: 2:   20 Uniqueness of Prime Factorization
  135.    wt: 2:   18 video Count Factors given Prime Factorization
  136.    wt: 2:   14 video Factors of 24 Take II
  137.    wt: 2:   13 video Factors of 24 using prime
  138.    wt: 2:   10 video Prime Factorization upto 23 squared
  139.    wt: 2:   Long Division forwards and backwards Example 2
  140.    wt: 2:   12 Why Long Division Works Take III
  141.    wt: 2:   4 Division with 2 Digit Divsors
  142.    wt: 2:   2 Division with Single Digit Divisors
  143.    wt: 2:   6 Multiplication Commutes Order Not Important
  144.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  145.    wt: 2:   9 22 Minute Subtraction Review Video
  146.    wt: 2:   8 What skills and work habits to require
  147.    wt: 2:   Quick history of numbers and algebra
  148.    wt: 2:   Formula Evaluation how to show work
  149.    wt: 2:   38 Formulas and derivatives for powers and roots
  150.    wt: 2:   28 Chain Rule Preparation for a Proof
  151.    wt: 2:   21 Chain Rule for powers
  152.    wt: 2:   20 Chain Rule for Pulley Systems
  153.    wt: 2:   3 Motivation for Limit Definition Take 2
  154.    wt: 2:   2 Motivation for Limit Definition Take 1
  155.    wt: 2:   2 Algebraic codification
  156.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  157.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  158.    wt: 2:   F.2 Closed Range Theorem
  159.    wt: 2:   E2 Algebraic Properties of Limits
  160.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  161.    wt: 2:   Chapter 22 Complex Numbers
  162.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  163.    wt: 2:   Foreword
  164.    wt: 2:   Postscript More on Better Performance
  165.    wt: 2:   Postscript For Better Performance
  166.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  167.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  168.    wt: 2:   Chapter 23. Notation For Sums
  169.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  170.    wt: 2:   Chapter 18. Rules for Algebra
  171.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  172.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  173.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  174.    wt: 2:   Chapter 12. Shorthand Usage Guide
  175.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  176.    wt: 2:   Foreword
  177.    wt: 2:   Chapter 2 For and Against Mathematics
  178.    wt: 2:   Foreword
  179.    wt: 2:   Postscript B More on Story Telling and Reason
  180.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  181.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  182.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  183.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  184.    wt: 2:   Foreword
  185.    wt: 2:   S Adding words to algebra
  186.    wt: 2:   J. More on written work and showing skill
  187.    wt: 2:   E. When and how to correct errors
  188.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  189.    wt: 2:   Chapter 6 More Algebra and Geometry
  190.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  191.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  192.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  193.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  194.    wt: 2:   More Algebra and Slope based Calculus Preview
  195.    wt: 1:   Appendix 2 primary school Arithmetic 01
  196.    wt: 1:   J LAMP Introduction Extrinsic Origins
  197.    wt: 1:   G LAMP Introduction Problem Solving Skills
  198.    wt: 1:   Skills Chapter 5 Calculus
  199.    wt: 1:   Skills Chapter 4 Logic
  200.    wt: 1:   Ramblings Extrinsic numbers theory
  201.    wt: 1:   Ramblings Introduction Algebra Essay
  202.    wt: 1:   Skills Chapter 1 Arithmetic
  203.    wt: 1:   Skills Chapter 0 Introduction
  204.    wt: 1:   9 combinatorics probability sets
  205.    wt: 1:   4 algebra
  206.    wt: 1:   2 arithmetic with signed numbers
  207.    wt: 1:   permissions for teachers
  208.    wt: 1:   Math Ed if it must be short make it lean effective
  209.    wt: 1:   Applied Maths Program14092009 POMME variant
  210.    wt: 1:   activities for students
  211.    wt: 1:   site origins
  212.    wt: 1:   Mathematics Education Professors
  213.    wt: 1:   grouping students according to ability
  214.    wt: 1:   Postscript 2007 01 10
  215.    wt: 1:   Education Reform Inconsistencies
  216.    wt: 1:   Secondary Three Mathematics
  217.    wt: 1:   talk the algebra talk
  218.    wt: 1:   three difficulties
  219.    wt: 1:   Lessening Algebra Difficulties
  220.    wt: 1:   the trouble with algebra
  221.    wt: 1:   04 29 New Mathematics Curriculum
  222.    wt: 1:   standards for course material
  223.    wt: 1:   Theory of Knowledge
  224.    wt: 1:   three kinds of reason in mathematics
  225.    wt: 1:   Four ways to improve education reform
  226.    wt: 1:   How to be a better instructor
  227.    wt: 1:   need for a mixed mathematics curriculum
  228.    wt: 1:   education an empirical art
  229.    wt: 1:   chapitre 12 00 les iles et division
  230.    wt: 1:   chapitre 04 02 Deuxieme enigme
  231.    wt: 1:   chapitre 02 00 La Communication des idees
  232.    wt: 1:   2 Energy Power Heat07
  233.    wt: 1:   B Energy Power02
  234.    wt: 1:   D Wire Resistance Calculation02
  235.    wt: 1:   B Wire Resistance Qualitative02
  236.    wt: 1:   3 Like resistors in parallel
  237.    wt: 1:   1 Like resistors in series
  238.    wt: 1:   H Series Circuit02
  239.    wt: 1:   F Unlike Resistors in Series
  240.    wt: 1:   B Electromotive force conventional current01
  241.    wt: 1:   Home Tutoring and Home Schooling
  242.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  243.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  244.    wt: 1:   17 Math Booklets for children and young teenagers
  245.    wt: 1:   15 Counting For Parents
  246.    wt: 1:   11 Help and Defend Your Child or Teens Education
  247.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  248.    wt: 1:   5 Patience Please for Yourself and Your Charges
  249.    wt: 1:   4 Learning Takes Time and Effort
  250.    wt: 1:   3 Preparing for Science Studies
  251.    wt: 1:   1 Speaking Skills
  252.    wt: 1:   Ages 12 to 14 Geometry
  253.    wt: 1:   Ages 12 to 14 Arithmetic
  254.    wt: 1:   Ages 10 to 12 Geometry
  255.    wt: 1:   Ages 10 to 12 Arithmetic
  256.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  257.    wt: 1:   sign monoticity analysis example 2
  258.    wt: 1:   26 Function definitions done and coming
  259.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  260.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  261.    wt: 1:   23 Inverse Functions
  262.    wt: 1:   19 Horizontal line rule and method
  263.    wt: 1:   16 Increasing or decreasing on intervals
  264.    wt: 1:   12 Function Domain Recognition Exercises
  265.    wt: 1:   6 Set Existence Formation and Notation
  266.    wt: 1:   8 quadratics backward use of various formulas
  267.    wt: 1:   7 quadratic formulla derivation
  268.    wt: 1:   3 quadratics factoring by inspection
  269.    wt: 1:   2 quadratics graphing in general
  270.    wt: 1:   5 Natural Logarithm Calculator Exercises
  271.    wt: 1:   2 Square Root Simplification a prequel
  272.    wt: 1:   1 Calculator Starter Exercises
  273.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  274.    wt: 1:   4 Polynomials Long division linear divisor
  275.    wt: 1:   2 Column Multiplication Method
  276.    wt: 1:   Rewriting algebraic substitution as function substitutions
  277.    wt: 1:   9 motivation for name arcsin
  278.    wt: 1:   5 Swapping Coordinates is a reflection
  279.    wt: 1:   4 possible motivation for term arccos
  280.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  281.    wt: 1:   2 Radian Measure Numerical Value of one degree
  282.    wt: 1:   13 Velocity Vectors in Physics
  283.    wt: 1:   12 From Applied To Pure Mathematics
  284.    wt: 1:   9 Head to Tail Coordinate View
  285.    wt: 1:   8 Parallel Vectors
  286.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  287.    wt: 1:   1 Unsigned Coordinates
  288.    wt: 1:   Vector and Complex Number Applet
  289.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  290.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  291.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  292.    wt: 1:   Parallel Lines and Interior Angles
  293.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  294.    wt: 1:   Straight Lines ASA Intersection Study More
  295.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  296.    wt: 1:   C Straight Lines Slope from Coordinates
  297.    wt: 1:   B Straight Line Slope Scaling Properties More
  298.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  299.    wt: 1:   12 Straight Lines Graphing mx plus b
  300.    wt: 1:   9 Straight Lines through Origin Equations
  301.    wt: 1:   8 Straight Lines Equation for vertical
  302.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  303.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  304.    wt: 1:   17 tangent function angle sum formulas
  305.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  306.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  307.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  308.    wt: 1:   32 seven rows of pascals triangle
  309.    wt: 1:   28 Expressing products of sines cosines as sums
  310.    wt: 1:   27 Logarithmic use of products of sines and cosines
  311.    wt: 1:   17C sine and cosine double triple angle formulas
  312.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  313.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  314.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  315.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  316.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  317.    wt: 1:   2 Quadrant I reference Angles
  318.    wt: 1:   21 Logarithms Powers and Exponentials
  319.    wt: 1:   20 N th Roots of Complex Numbers
  320.    wt: 1:   16 References and Originality Question
  321.    wt: 1:   11 sine and cosine double triple angle formulas
  322.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  323.    wt: 1:   2 Complex Numbers made easier we hope
  324.    wt: 1:   1 Rectangular Polar Coordinates Review
  325.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  326.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  327.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  328.    wt: 1:   4 Similarity Definition with Coordinate
  329.    wt: 1:   3 Similarity by Design with coordinates
  330.    wt: 1:   2 Similarity By Design
  331.    wt: 1:   1 Early Concept of Like or Similar Shapes
  332.    wt: 1:   12 Links Lessons elsewhere
  333.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  334.    wt: 1:   8 Mid Point Formula
  335.    wt: 1:   5 Algebraic View of Slopes
  336.    wt: 1:   3 Slope product for perpendicular lines
  337.    wt: 1:   4 Polar Coordinates to and from
  338.    wt: 1:   3 Rectangular Coordinates Review
  339.    wt: 1:   1 Cartesian Coordinates sans signs
  340.    wt: 1:   PS H Distributive Law For Complex Numbers
  341.    wt: 1:   PS E Multiplication with Polar Coordinates
  342.    wt: 1:   PS D Addition with Cartesian Coordinates
  343.    wt: 1:   21 Parallelograms
  344.    wt: 1:   17 Right Bisectors of Triangle Sides
  345.    wt: 1:   16 Angles Subtended By Chords and Diameters
  346.    wt: 1:   12 Side Angle Side Failure
  347.    wt: 1:   9 Construction of a right bisector
  348.    wt: 1:   Short Course on Euclidean Geometry
  349.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  350.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  351.    wt: 1:   2 Measuring Area Directly
  352.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  353.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  354.    wt: 1:   23 Distributive Law Two Derivations
  355.    wt: 1:   19 Signed Multiples of Vectors
  356.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  357.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  358.    wt: 1:   13 Arrows and Vectors in a Plane
  359.    wt: 1:   2 Counting Digits in Decimal Multiplication
  360.    wt: 1:   E Long Division Methods more
  361.    wt: 1:   C Three Decimal Subtraction Methods
  362.    wt: 1:   6 Column Methods for Decimal Multiplication
  363.    wt: 1:   5 Distributive Law for Whole Numbers
  364.    wt: 1:   4 Commutative Law Groups Counting Form
  365.    wt: 1:   3 Multiplicative Counting Skills Principles
  366.    wt: 1:   1 The Counting Origins of Numbers
  367.    wt: 1:   3 Inequalities Algebraically
  368.    wt: 1:   2 Fraction Operations Physical Development
  369.    wt: 1:   5 Proportionality in Equivalent Fractions
  370.    wt: 1:   4 Rates Ratios and Proporitionality
  371.    wt: 1:   3 Proportionality Examples
  372.    wt: 1:   1 What is Proportionality
  373.    wt: 1:   6 Compound Interest Forward and Backwards
  374.    wt: 1:   5 Triangle Area Formula Backwards
  375.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  376.    wt: 1:   3 Linear Equation Literal Solution More
  377.    wt: 1:   2 Linear Equation Literal Solution
  378.    wt: 1:   6 Equations and Systems Equivalent or Implied
  379.    wt: 1:   5 Equality in Algebra
  380.    wt: 1:   3 Product Axioms Two Forms
  381.    wt: 1:   2 Addition and Multiplication Axioms
  382.    wt: 1:   5 Greater More Less Than Signs in General
  383.    wt: 1:   3 More and Less Than with Unlike Signs
  384.    wt: 1:   7 Real Numbers as Line Cordinates
  385.    wt: 1:   5 Rational Numbers More
  386.    wt: 1:   2 Integers
  387.    wt: 1:   3 Geometric Formulas and Function Notation
  388.    wt: 1:   2 Computation Rules Evaluation
  389.    wt: 1:   1 Formulas Dependence and Function Notation
  390.    wt: 1:   More Exercises
  391.    wt: 1:   2 GE II Comparison
  392.    wt: 1:   6 Algebraic Solution Example
  393.    wt: 1:   5 Algebraic Solutions Introduction
  394.    wt: 1:   9 Three Examples
  395.    wt: 1:   6 Three Examples
  396.    wt: 1:   5 Three Examples
  397.    wt: 1:   Using Letters for Physical Quantities
  398.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  399.    wt: 1:   8 Compound Interest Formula Evaluation
  400.    wt: 1:   7 Compound Interest Formula Introduction
  401.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  402.    wt: 1:   5 Box Volume Formula Example
  403.    wt: 1:   4 Circle Area Formula Example
  404.    wt: 1:   3 Triangle Area Formula Example
  405.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  406.    wt: 1:   7 Cautious or Safe Set Construction
  407.    wt: 1:   2 Venn Diagrams
  408.    wt: 1:   6 Three Notions of What is a Variable
  409.    wt: 1:   3 Adding Words To Arithmetic
  410.    wt: 1:   2 What is a Variable
  411.    wt: 1:   arithmetic videos Real Player Format
  412.    wt: 1:   4 Greater More Less Than Signs in General
  413.    wt: 1:   5 Square Roots with primes more still
  414.    wt: 1:   4 Square Roots with primes more
  415.    wt: 1:   2 Square Roots with Prime
  416.    wt: 1:   13 GCD from given Prime Factorization
  417.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  418.    wt: 1:   8 GCD from Euclidean Algorithm
  419.    wt: 1:   7 GCD and LCM from prime factorization
  420.    wt: 1:   5 Common Divisors 60 45 via Prime
  421.    wt: 1:   2 Least Common Multiple LCM intro via list method
  422.    wt: 1:   2 Counting with Tables and Trees I
  423.    wt: 1:   7 Converting or Changing Units
  424.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  425.    wt: 1:   2 Equality and Units
  426.    wt: 1:   D Three Term Ratios
  427.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  428.    wt: 1:   20 Dividing Fractions the Why
  429.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  430.    wt: 1:   14 Adding and Subtracting with Like Denominators
  431.    wt: 1:   13 Fraction Comparison Algebraic View
  432.    wt: 1:   12 Fraction Comparison
  433.    wt: 1:   11 Simplification an Algebraic View
  434.    wt: 1:   6 Multiplication Algebraically Take II
  435.    wt: 1:   2 Unit Fraction Multiplication
  436.    wt: 1:   A Associative Law Theorectical Note
  437.    wt: 1:   11 Adding Integers Formulas and Examples
  438.    wt: 1:   10 Integer Multiplication Formulas
  439.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  440.    wt: 1:   1 Integers as Coordinates
  441.    wt: 1:   21 Remainder Arithmetic Modulo 3
  442.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  443.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  444.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  445.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  446.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  447.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  448.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  449.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  450.    wt: 1:   19 video Prime Factorization Unique
  451.    wt: 1:   17 Identify and Count Factors using Primes
  452.    wt: 1:   16 video Factors of 980 using prime
  453.    wt: 1:   12 LCD GCD and LCM using Primes
  454.    wt: 1:   9 video Prime Factorization upto 19 squared
  455.    wt: 1:   8 video Prime Factorization upto 19
  456.    wt: 1:   7 Calculator Usage Notes and Cautions
  457.    wt: 1:   5 Prime Factorization and a Square Rule
  458.    wt: 1:   4 video Prime Factorization Introduction
  459.    wt: 1:   2 Prime and Composites less than 16
  460.    wt: 1:   1 video how Products are bigger than factor
  461.    wt: 1:   Long Division Backwards more
  462.    wt: 1:   Long Division forwards and backwards Example 3
  463.    wt: 1:   Long Division forwards and backwards Example 1
  464.    wt: 1:   11 Another Single Digit Divisor Example
  465.    wt: 1:   10 Division by Five Long and Short Ways
  466.    wt: 1:   9 Why Long Division Works Take II
  467.    wt: 1:   8 Correcting the Mistake
  468.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  469.    wt: 1:   5 Long Division Include Zeroes or not
  470.    wt: 1:   3 Division Single Digit Divisor Example
  471.    wt: 1:   A Elementary Basis for Multiplication Methods
  472.    wt: 1:   4 Two and Three Digit Multipliers
  473.    wt: 1:   3 More One Digit Multipliers
  474.    wt: 1:   2 One Digit Multipliers
  475.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  476.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  477.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  478.    wt: 1:   5 A Tip for Efficent Subtraction
  479.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  480.    wt: 1:   2 Subtraction Easy Case Examples
  481.    wt: 1:   2 Decimal Counting Practices
  482.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  483.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  484.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  485.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  486.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  487.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  488.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  489.    wt: 1:   Expression Evaluation how to show work
  490.    wt: 1:   The 20 Times Table
  491.    wt: 1:   The 12 Times Table Visually
  492.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  493.    wt: 1:   015 School and work day counting tables
  494.    wt: 1:   012 Division of Time Intervals by Time Intervals
  495.    wt: 1:   2 Time and Date Matters in School
  496.    wt: 1:   1 Intro of Kids To Time Date Skills
  497.    wt: 1:   Example 2 volume of a cone
  498.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  499.    wt: 1:   Example 2
  500.    wt: 1:   Area Between Curves Lesson Take 2
  501.    wt: 1:   2 Indefinite Integrals Exercises
  502.    wt: 1:   2 Second derivative test prequel
  503.    wt: 1:   29 Chain Rule Optional Reading
  504.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  505.    wt: 1:   26 Chain Rule Recognising outer inner functions
  506.    wt: 1:   25 Chain Rule Animated Examples Continued
  507.    wt: 1:   24 Chain Rule Animated Examples
  508.    wt: 1:   23 Chain Rule in general
  509.    wt: 1:   19 Chain Rule for linear functions
  510.    wt: 1:   14 sine and cosine derivatives 2nd step
  511.    wt: 1:   12 Quotient rule examples
  512.    wt: 1:   10 Power rule for negative integers
  513.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  514.    wt: 1:   11 Limits at infinity Three Examples
  515.    wt: 1:   10 Three one sided limits with infinite values
  516.    wt: 1:   7 Evaluation by immediate or delayed substitution
  517.    wt: 1:   5 Jumps and absence of unlimited error control
  518.    wt: 1:   3 Decimal insights for limits continuity convergence
  519.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  520.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  521.    wt: 1:   G.3 Constant Difference Theorem Proof
  522.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  523.    wt: 1:   F.5b Extreme Value Theorem
  524.    wt: 1:   F.5a Equicontinuity Theorems
  525.    wt: 1:   F.4 Finite Covering Theorem
  526.    wt: 1:   F.3 Intermediate Value Theorem
  527.    wt: 1:   E1 Error Control Inequalities
  528.    wt: 1:   D2 Limits of Monotone Sequences
  529.    wt: 1:   B3 Bolzano Weierstrass Theorem
  530.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  531.    wt: 1:   PostScript For and Against Decimal Perspectives
  532.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  533.    wt: 1:   Chapter 23 Links To Trigonometry
  534.    wt: 1:   Chapter 21 Arrow Addition
  535.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  536.    wt: 1:   Chapter 12. Units and Slopes
  537.    wt: 1:   Chapter 4. More Slope Sign Analysis
  538.    wt: 1:   Chapter 2. Slopes and Ski Trails
  539.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  540.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  541.    wt: 1:   Chapter 28 Occurrence Tables
  542.    wt: 1:   Chapter 25. Mathematical Induction Examples
  543.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  544.    wt: 1:   Chapter 21. Third Reading Guide
  545.    wt: 1:   Chapter 20. Degrees and Radians
  546.    wt: 1:   Chapter 16. Painless Theorem Proving
  547.    wt: 1:   Chapter 11. Why Shorthand
  548.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  549.    wt: 1:   Solutions For Arithmetic Exercises
  550.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  551.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  552.    wt: 1:   Postscript A Three Remarks
  553.    wt: 1:   Chapter 12 Four Phases
  554.    wt: 1:   Chapter 3 Algebra Difficulties
  555.    wt: 1:   Postscript C Consistency as a Tool for Reason
  556.    wt: 1:   Postscript A Story Telling
  557.    wt: 1:   Chapter 24 Direct and Indirect Reason
  558.    wt: 1:   Chapter 23 Truth Tables
  559.    wt: 1:   Chapter 21 Occurrence Tables
  560.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  561.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  562.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  563.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  564.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  565.    wt: 1:   Chapter 2 Skill Development
  566.    wt: 1:   Three Remarks
  567.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  568.    wt: 1:   R Why Learn Mathematics Skills
  569.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  570.    wt: 1:   N Mathematics Prepare for College Studies
  571.    wt: 1:   M Words to extend arithmetic
  572.    wt: 1:   L Skills with take home value
  573.    wt: 1:   I. Logic and language skills
  574.    wt: 1:   H more Routine to non routine problem solving
  575.    wt: 1:   F. The student teacher tutor feedback loop
  576.    wt: 1:   D. Check work a must with a caution
  577.    wt: 1:   B. Domino effect of errors
  578.    wt: 1:   How to Build Skills and Confidence
  579.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  580.    wt: 1:   Chapter 3 Algebra Starter Lessons
  581.    wt: 1:   Chapter 2 Why Sets
  582.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  583.    wt: 1:   7 Games and Activities for Instruction
  584.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  585.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  586.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  587.    wt: 1:   Systematic Algebra Skill Development Missing Links
  588.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  589.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  590.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  591.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  592.    wt: 1:   The Math Forum and Site Content

Extended Search

1041 matches:

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

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

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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