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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62 matches:

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

Web Page Search

612 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  3.    wt: 4:   26 Formulas for products of sines and cosines
  4.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  5.    wt: 4:   12 cis formulas for sine cosines and tangent
  6.    wt: 4:   2 More and Less Than for Counts and Measures
  7.    wt: 4:   1 Three Skills For Algebra
  8.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  9.    wt: 4:   21 Reciprocals for Fractions and Wholes
  10.    wt: 4:   Long Division forwards and backwards Example 2
  11.    wt: 4:   38 Formulas and derivatives for powers and roots
  12.    wt: 4:   Chapter 8 Three Skills For Algebra
  13.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  14.    wt: 3:   02 21 words for teachers
  15.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  16.    wt: 3:   24 Standards For Skill Develoment Take II
  17.    wt: 3:   24 Standards For Skill Develoment
  18.    wt: 3:   12 Goals and Objectives For Mathematics
  19.    wt: 3:   2 Reading and Writing Skills
  20.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  21.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  22.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  23.    wt: 3:   29 secant cosecant and cotangent for acute angles
  24.    wt: 3:   21 sine and cosine Half Angle Formulas
  25.    wt: 3:   20 sine and cosine Double Angle Formulas
  26.    wt: 3:   17E Trig Formulas for dot and cross Products
  27.    wt: 3:   17D cis formulas for sine cosines and tangent
  28.    wt: 3:   13 Trig Formulas for dot and cross Products
  29.    wt: 3:   4 Equations for lines three forms
  30.    wt: 3:   8 Division and Mulplication of Compound Fractions
  31.    wt: 3:   2 Combing Counts Addition Skills and Principles
  32.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  33.    wt: 3:   1 Written work formats for developing and showing skill
  34.    wt: 3:   1 More and Less Than for Counts and Measures
  35.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  36.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  37.    wt: 3:   12 GCD 2700 288 via Prime
  38.    wt: 3:   22 Complex Compound Fractions
  39.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  40.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  41.    wt: 3:   Long Division forwards and backwards Example 3
  42.    wt: 3:   Long Division forwards and backwards Example 1
  43.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  44.    wt: 3:   22 Chain Rule for polynomials
  45.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  46.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  47.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  48.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  49.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  50.    wt: 3:   Chapter 2 For and Against Mathematics
  51.    wt: 3:   Chapter 22 Contrapositive and Vacuously True Implications
  52.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  53.    wt: 3:   G. Written work formats for developing and showing skill
  54.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  55.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  56.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  57.    wt: 2:   Skills Chapter 3 Algebra
  58.    wt: 2:   Skills Chapter 2 Geometry
  59.    wt: 2:   three goals to set for students
  60.    wt: 2:   geometric implications for algebra
  61.    wt: 2:   three goals for Mathematics Education
  62.    wt: 2:   02 20 mathematics education references
  63.    wt: 2:   three aims for mathematics students
  64.    wt: 2:   standards for course material
  65.    wt: 2:   formal or informal peer review
  66.    wt: 2:   Prequel In For A Penny In For A Pound
  67.    wt: 2:   fairness and inductive principles for instruction
  68.    wt: 2:   chapitre 12 00 les iles et division
  69.    wt: 2:   2 Conductance Resistance Duality02
  70.    wt: 2:   C Electromotive force conventional current02
  71.    wt: 2:   22 Student Centered Highschool Mathematics
  72.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  73.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  74.    wt: 2:   17 Math Booklets for children and young teenagers
  75.    wt: 2:   5 Patience Please for Yourself and Your Charges
  76.    wt: 2:   4 Learning Takes Time and Effort
  77.    wt: 2:   Ages 12 to 14 Skills with take home value
  78.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  79.    wt: 2:   26 Function definitions done and coming
  80.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  81.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  82.    wt: 2:   22 Square Root function graphically
  83.    wt: 2:   6 Set Existence Formation and Notation
  84.    wt: 2:   5 Function notation for geometric transformations
  85.    wt: 2:   2 Algebraic use of function notation
  86.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  87.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  88.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  89.    wt: 2:   12 motivation for term arctan
  90.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  91.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  92.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  93.    wt: 2:   27 Logarithmic use of products of sines and cosines
  94.    wt: 2:   25 tangent double angle formula Slope connection
  95.    wt: 2:   24 tangent Angle Difference Formula
  96.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  97.    wt: 2:   17C sine and cosine double triple angle formulas
  98.    wt: 2:   14 cosine even and sine and tangent are odd
  99.    wt: 2:   12 Graph of tangent function for one period
  100.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  101.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  102.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  103.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  104.    wt: 2:   21 Logarithms Powers and Exponentials
  105.    wt: 2:   11 sine and cosine double triple angle formulas
  106.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  107.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  108.    wt: 2:   2 point slope equation for a line
  109.    wt: 2:   3 Lengths and Areas on Maps and Plans
  110.    wt: 2:   22 Multiplication of Signed Numbers
  111.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  112.    wt: 2:   2 Algebraic View
  113.    wt: 2:   6 Compound Interest Forward and Backwards
  114.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  115.    wt: 2:   4 Subtraction and Division Axioms
  116.    wt: 2:   2 Addition and Multiplication Axioms
  117.    wt: 2:   8 Coordinates for Maps and Planes
  118.    wt: 2:   3 Geometric Formulas and Function Notation
  119.    wt: 2:   1 Formulas Dependence and Function Notation
  120.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  121.    wt: 2:   2 Essentially one exercises three with solution
  122.    wt: 2:   2 Three Examples
  123.    wt: 2:   2 Three Examples
  124.    wt: 2:   Formula Usage Show Work Format
  125.    wt: 2:   2 Another Rectangle Area Formula Example
  126.    wt: 2:   4 A Brief Story of numbers and algebra
  127.    wt: 2:   2 More and Less Than with Unlike Signs
  128.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  129.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  130.    wt: 2:   2 Counting with Tables and Trees I
  131.    wt: 2:   3 signed coordinates for maps and planes
  132.    wt: 2:   2 signed and unsigned numbers as coordinates
  133.    wt: 2:   2 Equality and Units
  134.    wt: 2:   B Fractions and Two Term Ratios
  135.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  136.    wt: 2:   20 Dividing Fractions the Why
  137.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  138.    wt: 2:   9 Improper Fractions and Mixed Numbers
  139.    wt: 2:   11 Adding Integers Formulas and Examples
  140.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  141.    wt: 2:   26 Divisibility by 2 3 5 Example
  142.    wt: 2:   23 Remainder Arithmetic Modulo 2
  143.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  144.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  145.    wt: 2:   12 LCD GCD and LCM using Primes
  146.    wt: 2:   2 Prime and Composites less than 16
  147.    wt: 2:   Division with Counts and Length
  148.    wt: 2:   12 Why Long Division Works Take III
  149.    wt: 2:   10 Division by Five Long and Short Ways
  150.    wt: 2:   4 Division with 2 Digit Divsors
  151.    wt: 2:   2 Division with Single Digit Divisors
  152.    wt: 2:   4 Two and Three Digit Multipliers
  153.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  154.    wt: 2:   9 22 Minute Subtraction Review Video
  155.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  156.    wt: 2:   8 What skills and work habits to require
  157.    wt: 2:   6. Counting and adding units and mixed units
  158.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  159.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  160.    wt: 2:   Quick history of numbers and algebra
  161.    wt: 2:   Exact Arithmetic Wholes and Fractions
  162.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  163.    wt: 2:   012 Division of Time Intervals by Time Intervals
  164.    wt: 2:   2 Time and Date Matters in School
  165.    wt: 2:   28 Chain Rule Preparation for a Proof
  166.    wt: 2:   21 Chain Rule for powers
  167.    wt: 2:   20 Chain Rule for Pulley Systems
  168.    wt: 2:   14 sine and cosine derivatives 2nd step
  169.    wt: 2:   3 Motivation for Limit Definition Take 2
  170.    wt: 2:   2 Motivation for Limit Definition Take 1
  171.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  172.    wt: 2:   2 Algebraic codification
  173.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  174.    wt: 2:   E2 Algebraic Properties of Limits
  175.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  176.    wt: 2:   PostScript For and Against Decimal Perspectives
  177.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  178.    wt: 2:   Chapter 22 Complex Numbers
  179.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  180.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  181.    wt: 2:   Chapter 12. Units and Slopes
  182.    wt: 2:   Chapter 2. Slopes and Ski Trails
  183.    wt: 2:   Postscript For Better Performance
  184.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  185.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  186.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  187.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  188.    wt: 2:   Chapter 23. Notation For Sums
  189.    wt: 2:   Chapter 20. Degrees and Radians
  190.    wt: 2:   Chapter 18. Rules for Algebra
  191.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  192.    wt: 2:   Chapter 12. Shorthand Usage Guide
  193.    wt: 2:   Chapter 24 Direct and Indirect Reason
  194.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  195.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  196.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  197.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  198.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  199.    wt: 2:   I. Logic and language skills
  200.    wt: 2:   How to Build Skills and Confidence
  201.    wt: 2:   Chapter 6 More Algebra and Geometry
  202.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  203.    wt: 2:   7 Games and Activities for Instruction
  204.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  205.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  206.    wt: 2:   More Algebra and Slope based Calculus Preview
  207.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  208.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  209.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  210.    wt: 2:   The Math Forum and Site Content
  211.    wt: 1:   Appendix 2 primary school Arithmetic 01
  212.    wt: 1:   Appendix 1 primary and preschool mathematic
  213.    wt: 1:   G LAMP Introduction Problem Solving Skills
  214.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  215.    wt: 1:   Skills Chapter 5 Calculus
  216.    wt: 1:   Skills Chapter 4 Logic
  217.    wt: 1:   Ramblings Introduction Algebra Essay
  218.    wt: 1:   Skills Chapter 1 Arithmetic
  219.    wt: 1:   Skills Chapter 0 Introduction
  220.    wt: 1:   7 logic review and decimals an odd combination
  221.    wt: 1:   5 logarithms and exponentials etc
  222.    wt: 1:   4 algebra
  223.    wt: 1:   2 arithmetic with signed numbers
  224.    wt: 1:   permissions for teachers
  225.    wt: 1:   Applied Maths Program14092009 POMME variant
  226.    wt: 1:   activities for students
  227.    wt: 1:   key notes and themes
  228.    wt: 1:   what should be learnt and When
  229.    wt: 1:   Postscript 2007 01 10
  230.    wt: 1:   Education Reform Inconsistencies
  231.    wt: 1:   Secondary Three Mathematics
  232.    wt: 1:   talk the algebra talk
  233.    wt: 1:   three difficulties
  234.    wt: 1:   teaching tutoring algebraic reason
  235.    wt: 1:   Lessening Algebra Difficulties
  236.    wt: 1:   the trouble with algebra
  237.    wt: 1:   04 29 New Mathematics Curriculum
  238.    wt: 1:   04 25 when to stop or suspend mathemat
  239.    wt: 1:   Education in mathematics science and technology
  240.    wt: 1:   three kinds of reason in mathematics
  241.    wt: 1:   Four ways to improve education reform
  242.    wt: 1:   Motivation and Context Problem
  243.    wt: 1:   need for a mixed mathematics curriculum
  244.    wt: 1:   words for mathematics instructor
  245.    wt: 1:   chapitre 04 02 Deuxieme enigme
  246.    wt: 1:   chapitre 02 00 La Communication des idees
  247.    wt: 1:   2 Energy Power Heat07
  248.    wt: 1:   B Energy Power02
  249.    wt: 1:   D Wire Resistance Calculation02
  250.    wt: 1:   B Wire Resistance Qualitative02
  251.    wt: 1:   2 Unlike resistors in parallel01
  252.    wt: 1:   H Series Circuit02
  253.    wt: 1:   B Electromotive force conventional current01
  254.    wt: 1:   Home Tutoring and Home Schooling
  255.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  256.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  257.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  258.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  259.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  260.    wt: 1:   15 Counting For Parents
  261.    wt: 1:   14 Multiplication and Times Tables
  262.    wt: 1:   13 Addition and Addition Tables
  263.    wt: 1:   11 Help and Defend Your Child or Teens Education
  264.    wt: 1:   10 Ends values for work study instruction
  265.    wt: 1:   3 Preparing for Science Studies
  266.    wt: 1:   1 Speaking Skills
  267.    wt: 1:   Ages 12 to 14 Geometry
  268.    wt: 1:   Ages 12 to 14 Arithmetic
  269.    wt: 1:   Ages 10 to 12 Geometry
  270.    wt: 1:   Ages 10 to 12 Arithmetic
  271.    wt: 1:   sign monoticity analysis example 2
  272.    wt: 1:   23 Inverse Functions
  273.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  274.    wt: 1:   20 Interchanging coordinates a reflection
  275.    wt: 1:   19 Horizontal line rule and method
  276.    wt: 1:   18 Vertical Line Rule and Method
  277.    wt: 1:   17 Function maxima minima and their location
  278.    wt: 1:   12 Function Domain Recognition Exercises
  279.    wt: 1:   11 Function Domain Range Source and Targets
  280.    wt: 1:   8 Set view of relations and functions
  281.    wt: 1:   4 Function notation in and beyond mathematics
  282.    wt: 1:   3 Formula or function graphing exercise
  283.    wt: 1:   9 quadratics physical and further context
  284.    wt: 1:   8 quadratics backward use of various formulas
  285.    wt: 1:   7 quadratic formulla derivation
  286.    wt: 1:   2 quadratics graphing in general
  287.    wt: 1:   11 Growth and Decay in Biology
  288.    wt: 1:   10 Exponential Growth and Decay Models
  289.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  290.    wt: 1:   2 Square Root Simplification a prequel
  291.    wt: 1:   8 Notes for instructors or tutors
  292.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  293.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  294.    wt: 1:   4 Polynomials Long division linear divisor
  295.    wt: 1:   2 Column Multiplication Method
  296.    wt: 1:   Rewriting algebraic substitution as function substitutions
  297.    wt: 1:   16 cotangent function Definition Graph and Inverse
  298.    wt: 1:   15 cosecant function Definition Graph and Inverse
  299.    wt: 1:   14 secant function Definition Graph and Inverse
  300.    wt: 1:   13 cosecant function Definition Graph and Inverse
  301.    wt: 1:   9 motivation for name arcsin
  302.    wt: 1:   4 possible motivation for term arccos
  303.    wt: 1:   2 cosine function more properties
  304.    wt: 1:   9 Summary Degrees to Radians and back
  305.    wt: 1:   2 Radian Measure Numerical Value of one degree
  306.    wt: 1:   1 Degrees and Radians Introduction
  307.    wt: 1:   A Global Time and Navigation
  308.    wt: 1:   15 Dot and Cross Product
  309.    wt: 1:   12 From Applied To Pure Mathematics
  310.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  311.    wt: 1:   2 Signed Coordinates
  312.    wt: 1:   Vector and Complex Number Applet
  313.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  314.    wt: 1:   Parallel Lines and Parallel Transversals
  315.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  316.    wt: 1:   Parallel Lines and Interior Angles
  317.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  318.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  319.    wt: 1:   12 Straight Lines Graphing mx plus b
  320.    wt: 1:   8 Straight Lines Equation for vertical
  321.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  322.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  323.    wt: 1:   17 tangent function angle sum formulas
  324.    wt: 1:   32 seven rows of pascals triangle
  325.    wt: 1:   28 Expressing products of sines cosines as sums
  326.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  327.    wt: 1:   10 Graphs of sines and cosines many periods
  328.    wt: 1:   9 Graphs of sine and cosine over one period
  329.    wt: 1:   7 period of sine and cosine
  330.    wt: 1:   2 Quadrant I reference Angles
  331.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  332.    wt: 1:   20 N th Roots of Complex Numbers
  333.    wt: 1:   16 References and Originality Question
  334.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  335.    wt: 1:   2 Complex Numbers made easier we hope
  336.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  337.    wt: 1:   3 Trigonometric Ratios sine and cosine
  338.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  339.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  340.    wt: 1:   12 Triangles Similarity More Problems
  341.    wt: 1:   8 Similarity of Triangles and Polygons
  342.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  343.    wt: 1:   2 Similarity By Design
  344.    wt: 1:   12 Links Lessons elsewhere
  345.    wt: 1:   10 Midpoint of [a b] and [b a]
  346.    wt: 1:   8 Mid Point Formula
  347.    wt: 1:   7 Exercises to test skill and concept mastery
  348.    wt: 1:   5 Algebraic View of Slopes
  349.    wt: 1:   3 Slope product for perpendicular lines
  350.    wt: 1:   1 Numerical view of lines and their equations
  351.    wt: 1:   What is and is not here
  352.    wt: 1:   13 Pythagorean spatial distance formulas
  353.    wt: 1:   12 Spatial Coordinates
  354.    wt: 1:   10 Pythagorean plane distance formula
  355.    wt: 1:   6 Polar Multiplication and Rotation
  356.    wt: 1:   5 Cartesian Addition and Translation
  357.    wt: 1:   4 Polar Coordinates to and from
  358.    wt: 1:   2 Cartesian Coordinates with signs
  359.    wt: 1:   PS H Distributive Law For Complex Numbers
  360.    wt: 1:   21 Parallelograms
  361.    wt: 1:   16 Angles Subtended By Chords and Diameters
  362.    wt: 1:   12 Side Angle Side Failure
  363.    wt: 1:   6 Ruler and compass Angle Bisection
  364.    wt: 1:   2 Correspondence between Triangles
  365.    wt: 1:   1 Initial Concepts and Terms
  366.    wt: 1:   2 Measuring Area Directly
  367.    wt: 1:   A Modular and Remainder Arithmetic
  368.    wt: 1:   26 More Less Greater Than Comparison
  369.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  370.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  371.    wt: 1:   23 Distributive Law Two Derivations
  372.    wt: 1:   21 Addition of Multiples of a Single Vector
  373.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  374.    wt: 1:   13 Arrows and Vectors in a Plane
  375.    wt: 1:   12 Real Numbers Line Signed Coordinates
  376.    wt: 1:   11 Signed Number Addition and Addition Properties
  377.    wt: 1:   9 Division with Digits after Decimal Point
  378.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  379.    wt: 1:   2 Counting Digits in Decimal Multiplication
  380.    wt: 1:   1 Fractions with Finite Decimal Expansions
  381.    wt: 1:   E Long Division Methods more
  382.    wt: 1:   D Long Division Methods
  383.    wt: 1:   C Three Decimal Subtraction Methods
  384.    wt: 1:   B Decimal Comparison and Subtraction
  385.    wt: 1:   6 Column Methods for Decimal Multiplication
  386.    wt: 1:   5 Distributive Law for Whole Numbers
  387.    wt: 1:   4 Commutative Law Groups Counting Form
  388.    wt: 1:   3 Multiplicative Counting Skills Principles
  389.    wt: 1:   3 Inequalities Algebraically
  390.    wt: 1:   2 Fraction Operations Physical Development
  391.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  392.    wt: 1:   5 Proportionality in Equivalent Fractions
  393.    wt: 1:   4 Rates Ratios and Proporitionality
  394.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  395.    wt: 1:   5 Triangle Area Formula Backwards
  396.    wt: 1:   2 Linear Equation Literal Solution
  397.    wt: 1:   6 Equations and Systems Equivalent or Implied
  398.    wt: 1:   5 Equality in Algebra
  399.    wt: 1:   3 Product Axioms Two Forms
  400.    wt: 1:   3 More and Less Than with Unlike Signs
  401.    wt: 1:   15 Real Number Division
  402.    wt: 1:   12 Real Number Additive Inverses or Negatives
  403.    wt: 1:   10 Real Number Lengths and Signs
  404.    wt: 1:   9 Coordinates for Regions in Space
  405.    wt: 1:   3 Fractions
  406.    wt: 1:   2 Integers
  407.    wt: 1:   1 Whole and Natural Numbers
  408.    wt: 1:   2 Computation Rules Evaluation
  409.    wt: 1:   3 GE III Equation Addition and Multiplication
  410.    wt: 1:   2 GE II Comparison
  411.    wt: 1:   6 Algebraic Solution Example
  412.    wt: 1:   5 Algebraic Solutions Introduction
  413.    wt: 1:   9 Three Examples
  414.    wt: 1:   6 Three Examples
  415.    wt: 1:   5 Three Examples
  416.    wt: 1:   Using Letters for Physical Quantities
  417.    wt: 1:   13 Naming Identifying Formulas with Words
  418.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  419.    wt: 1:   8 Compound Interest Formula Evaluation
  420.    wt: 1:   7 Compound Interest Formula Introduction
  421.    wt: 1:   5 Box Volume Formula Example
  422.    wt: 1:   4 Circle Area Formula Example
  423.    wt: 1:   3 Triangle Area Formula Example
  424.    wt: 1:   9 Sets in Probability and Statistics
  425.    wt: 1:   2 Venn Diagrams
  426.    wt: 1:   6 Three Notions of What is a Variable
  427.    wt: 1:   5 Talking about Numbers and Quantities
  428.    wt: 1:   2 What is a Variable
  429.    wt: 1:   arithmetic videos Real Player Format
  430.    wt: 1:   2 Square Roots with Prime
  431.    wt: 1:   1 Squares and Square Roots Introduction
  432.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  433.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  434.    wt: 1:   7 GCD and LCM from prime factorization
  435.    wt: 1:   4 LCM of 8 and 10 via Prime
  436.    wt: 1:   2 Least Common Multiple LCM intro via list method
  437.    wt: 1:   3 Counting with Tables and Trees II
  438.    wt: 1:   1 Counting and Counting Methods I
  439.    wt: 1:   11 What are real lengths and numbers
  440.    wt: 1:   7 negative and additive inverse
  441.    wt: 1:   5 lengths and signs of numbers
  442.    wt: 1:   4 signed coordinates for regions in space
  443.    wt: 1:   6 Simplification of Fractions with Units
  444.    wt: 1:   4 Fractions with Units
  445.    wt: 1:   3 Multiplying Units and Numbers
  446.    wt: 1:   1 Addition and Subtraction with Units
  447.    wt: 1:   D Three Term Ratios
  448.    wt: 1:   21 Working With Signs
  449.    wt: 1:   19 Dividing Fractions How TO
  450.    wt: 1:   17 Efficient Ways to Add and Subtract
  451.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  452.    wt: 1:   14 Adding and Subtracting with Like Denominators
  453.    wt: 1:   13 Fraction Comparison Algebraic View
  454.    wt: 1:   12 Fraction Comparison
  455.    wt: 1:   11 Simplification an Algebraic View
  456.    wt: 1:   6 Multiplication Algebraically Take II
  457.    wt: 1:   5 Equivalent Fractions
  458.    wt: 1:   2 Unit Fraction Multiplication
  459.    wt: 1:   B Integer Long Division Multiple Choices
  460.    wt: 1:   12 Adding Integers More Examples
  461.    wt: 1:   10 Integer Multiplication Formulas
  462.    wt: 1:   5 Zero Movement and Additive Inverses
  463.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  464.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  465.    wt: 1:   21 Remainder Arithmetic Modulo 3
  466.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  467.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  468.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  469.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  470.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  471.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  472.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  473.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  474.    wt: 1:   20 Uniqueness of Prime Factorization
  475.    wt: 1:   17 Identify and Count Factors using Primes
  476.    wt: 1:   15 video Factors of 20 using Prime Factorization
  477.    wt: 1:   14 video Factors of 24 Take II
  478.    wt: 1:   13 video Factors of 24 using prime
  479.    wt: 1:   10 video Prime Factorization upto 23 squared
  480.    wt: 1:   7 Calculator Usage Notes and Cautions
  481.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  482.    wt: 1:   5 Prime Factorization and a Square Rule
  483.    wt: 1:   3 video Primes and Composites from 9 times table
  484.    wt: 1:   Long Division Backwards more
  485.    wt: 1:   Long Division Backward
  486.    wt: 1:   9 Why Long Division Works Take II
  487.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  488.    wt: 1:   5 Long Division Include Zeroes or not
  489.    wt: 1:   3 Division Single Digit Divisor Example
  490.    wt: 1:   A Elementary Basis for Multiplication Methods
  491.    wt: 1:   2 One Digit Multipliers
  492.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  493.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  494.    wt: 1:   5 A Tip for Efficent Subtraction
  495.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  496.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  497.    wt: 1:   2 Subtraction Easy Case Examples
  498.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  499.    wt: 1:   7 Adding decimal fractions using decimal point
  500.    wt: 1:   2 Decimal Counting Practices
  501.    wt: 1:   11 Place Value SI Standard International way
  502.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  503.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  504.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  505.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  506.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  507.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  508.    wt: 1:   Formula Evaluation how to show work
  509.    wt: 1:   The 20 Times Table
  510.    wt: 1:   The 12 Times Table Visually
  511.    wt: 1:   015 School and work day counting tables
  512.    wt: 1:   011 Division of Time Intervals By Numbers
  513.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  514.    wt: 1:   4 Mixing and Changing Units of Time
  515.    wt: 1:   3 Units and Lengths of Time
  516.    wt: 1:   1 Intro of Kids To Time Date Skills
  517.    wt: 1:   Example 2 volume of a cone
  518.    wt: 1:   Example 1. Area Between x and x squared
  519.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  520.    wt: 1:   Example 2
  521.    wt: 1:   Area Between Curves Lesson Take 2
  522.    wt: 1:   2 Indefinite Integrals Exercises
  523.    wt: 1:   2 Second derivative test prequel
  524.    wt: 1:   29 Chain Rule Optional Reading
  525.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  526.    wt: 1:   26 Chain Rule Recognising outer inner functions
  527.    wt: 1:   25 Chain Rule Animated Examples Continued
  528.    wt: 1:   24 Chain Rule Animated Examples
  529.    wt: 1:   23 Chain Rule in general
  530.    wt: 1:   19 Chain Rule for linear functions
  531.    wt: 1:   17 Derivatives of quotients of sine and cosine
  532.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  533.    wt: 1:   15 sine and cosine derivatives 3rd step
  534.    wt: 1:   13 sine and cosine derivatives 1st step
  535.    wt: 1:   12 Quotient rule examples
  536.    wt: 1:   10 Power rule for negative integers
  537.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  538.    wt: 1:   11 Limits at infinity Three Examples
  539.    wt: 1:   10 Three one sided limits with infinite values
  540.    wt: 1:   9 Limits Continuity and Composition
  541.    wt: 1:   5 Jumps and absence of unlimited error control
  542.    wt: 1:   3 Decimal insights for limits continuity convergence
  543.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  544.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  545.    wt: 1:   F.2 Closed Range Theorem
  546.    wt: 1:   D2 Limits of Monotone Sequences
  547.    wt: 1:   Chapter 23 Links To Trigonometry
  548.    wt: 1:   Chapter 21 Arrow Addition
  549.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  550.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  551.    wt: 1:   Chapter 10 Slopes and Units
  552.    wt: 1:   Chapter 7 Slopes and Velocity
  553.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  554.    wt: 1:   Foreword
  555.    wt: 1:   Postscript More on Better Performance
  556.    wt: 1:   Appendix E. How To Study Mathematics and Why
  557.    wt: 1:   Appendix D. What to do in School and Why
  558.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  559.    wt: 1:   Chapter 31 Direct and Indirect Reason
  560.    wt: 1:   Chapter 28 Occurrence Tables
  561.    wt: 1:   Chapter 25. Mathematical Induction Examples
  562.    wt: 1:   Chapter 21. Third Reading Guide
  563.    wt: 1:   Chapter 19. Functions and Sets
  564.    wt: 1:   Chapter 11. Why Shorthand
  565.    wt: 1:   Chapter 10 Describing and Changing Calculations
  566.    wt: 1:   Solutions For Arithmetic Exercises
  567.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  568.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  569.    wt: 1:   Foreword
  570.    wt: 1:   Postscript A Three Remarks
  571.    wt: 1:   Chapter 12 Four Phases
  572.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  573.    wt: 1:   Chapter 3 Algebra Difficulties
  574.    wt: 1:   Foreword
  575.    wt: 1:   Postscript C Consistency as a Tool for Reason
  576.    wt: 1:   Postscript B More on Story Telling and Reason
  577.    wt: 1:   Chapter 23 Truth Tables
  578.    wt: 1:   Chapter 21 Occurrence Tables
  579.    wt: 1:   Chapter 18 Sense and Knowledge
  580.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  581.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  582.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  583.    wt: 1:   Chapter 2 Skill Development
  584.    wt: 1:   Three Remarks
  585.    wt: 1:   Foreword
  586.    wt: 1:   S Adding words to algebra
  587.    wt: 1:   R Why Learn Mathematics Skills
  588.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  589.    wt: 1:   O On Learning Mathematics and Science
  590.    wt: 1:   N Mathematics Prepare for College Studies
  591.    wt: 1:   L Skills with take home value
  592.    wt: 1:   N Improving Marks on Tests and Finals
  593.    wt: 1:   J. More on written work and showing skill
  594.    wt: 1:   H Jigsaw puzzles and problem solving
  595.    wt: 1:   E. When and how to correct errors
  596.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  597.    wt: 1:   Chapter 8 Skipped Topics and Why
  598.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  599.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  600.    wt: 1:   Chapter 3 Algebra Starter Lessons
  601.    wt: 1:   Chapter 2 Why Sets
  602.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  603.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  604.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  605.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  606.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  607.    wt: 1:   Helping the Blind in Logic and Mathematics
  608.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  609.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  610.    wt: 1:   Systematic Algebra Skill Development Missing Links
  611.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  612.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

978 matches:

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

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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
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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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