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:   4 Computation Rules and Function Notation/
  10.    wt: 4:   D Decimal Long Division Methods/
  11.    wt: 4:   C Decimal Multiplication Methods/
  12.    wt: 4:   2 Arithmetic with Decimals/
  13.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  14.    wt: 3:   12 Function Translating and Rescaling/
  15.    wt: 3:   A Origins of Counting and Figuring Methods/
  16.    wt: 3:   10 Examples of Algebraic Reasoning/
  17.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  18.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  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

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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