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:   A Decimal Counting and Adding Methods/
  7.    wt: 4:   9 Proportionality Backwards and Forwards/
  8.    wt: 4:   8 Unifying Theme For Algebra/
  9.    wt: 4:   D Decimal Long Division Methods/
  10.    wt: 4:   C Decimal Multiplication Methods/
  11.    wt: 4:   2 Arithmetic with Decimals/
  12.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  13.    wt: 3:   12 Function Translating and Rescaling/
  14.    wt: 3:   A Origins of Counting and Figuring Methods/
  15.    wt: 3:   10 Examples of Algebraic Reasoning/
  16.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  17.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  18.    wt: 3:   4 Computation Rules and Function Notation/
  19.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  20.    wt: 3:   Step 1 Stick diagram and fractions/
  21.    wt: 3:   11 Squares and Square Roots/
  22.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  23.    wt: 3:   9 Combinatorics Trees Tables and Products/
  24.    wt: 3:   7 Arithmetic and Fractions with Units/
  25.    wt: 3:   6 Fractions and Ratios/
  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

585 matches:

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

Extended Search

978 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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