Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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 material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 focus on skills with actual or potential local 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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46 matches:

  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  3.    wt: 3:   A Decimal Counting and Adding Methods/
  4.    wt: 3:   Work and Study Tips/
  5.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  6.    wt: 2:   A Origins of Counting and Figuring Methods/
  7.    wt: 2:   9 Proportionality Backwards and Forwards/
  8.    wt: 2:   2 Formula Forward Use Evaluation/
  9.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  10.    wt: 2:   11 Squares and Square Roots/
  11.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  12.    wt: 2:   9 Combinatorics Trees Tables and Products/
  13.    wt: 2:   7 Arithmetic and Fractions with Units/
  14.    wt: 2:   6 Fractions and Ratios/
  15.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  16.    wt: 2:   D Decimal Long Division Methods/
  17.    wt: 2:   C Decimal Multiplication Methods/
  18.    wt: 1:   LAMP Lean Applied Mathematics Program/
  19.    wt: 1:   Archives/
  20.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  21.    wt: 1:   12 Function Translating and Rescaling/
  22.    wt: 1:   11 Parallel Straight Lines and Transversals/
  23.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  24.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  25.    wt: 1:   4 Lines and Slopes Take 1/
  26.    wt: 1:   3 Cartesian and Polar Coordinates/
  27.    wt: 1:   8 Unifying Theme For Algebra/
  28.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  29.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  30.    wt: 1:   4 Computation Rules and Function Notation/
  31.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  32.    wt: 1:   Step 1 Stick diagram and fractions/
  33.    wt: 1:   1 Working With Sets/
  34.    wt: 1:   8 Arithmetic with Signed Numbers/
  35.    wt: 1:   5 Integers/
  36.    wt: 1:   3 Prime Factorization Skills/
  37.    wt: 1:   2 Arithmetic with Decimals/
  38.    wt: 1:   1 Decimal Place Value/
  39.    wt: 1:   Arithmetic and Number Theory Skills/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  43.    wt: 1:   Volume 2 Three Skills For Algebra/
  44.    wt: 1:   Resources and Reciprocal Links/
  45.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  46.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

417 matches:

  1.    wt: 5:   10 Ends values for work study instruction
  2.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  3.    wt: 5:   Ends Values Methods For Skill Development Framework Prequel
  4.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  5.    wt: 4:   1 Written work formats for developing and showing skill
  6.    wt: 4:   38 Formulas and derivatives for powers and roots
  7.    wt: 4:   G. Written work formats for developing and showing skill
  8.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  9.    wt: 3:   26 Formulas for products of sines and cosines
  10.    wt: 3:   17E Trig Formulas for dot and cross Products
  11.    wt: 3:   17D cis formulas for sine cosines and tangent
  12.    wt: 3:   13 Trig Formulas for dot and cross Products
  13.    wt: 3:   12 cis formulas for sine cosines and tangent
  14.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  15.    wt: 3:   2 More and Less Than for Counts and Measures
  16.    wt: 3:   Formula Usage Show Work Format
  17.    wt: 3:   1 More and Less Than for Counts and Measures
  18.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  19.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  20.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  21.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  22.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  23.    wt: 2:   5 logarithms and exponentials etc
  24.    wt: 2:   Education Reform Inconsistencies
  25.    wt: 2:   three goals for Mathematics Education
  26.    wt: 2:   standards for course material
  27.    wt: 2:   formal or informal peer review
  28.    wt: 2:   Education in mathematics science and technology
  29.    wt: 2:   Four ways to improve education reform
  30.    wt: 2:   Prequel In For A Penny In For A Pound
  31.    wt: 2:   fairness and inductive principles for instruction
  32.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  33.    wt: 2:   24 Standards For Skill Develoment Take II
  34.    wt: 2:   24 Standards For Skill Develoment
  35.    wt: 2:   17 Math Booklets for children and young teenagers
  36.    wt: 2:   12 Goals and Objectives For Mathematics
  37.    wt: 2:   11 Help and Defend Your Child or Teens Education
  38.    wt: 2:   5 Patience Please for Yourself and Your Charges
  39.    wt: 2:   4 Learning Takes Time and Effort
  40.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  41.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  42.    wt: 2:   6 Set Existence Formation and Notation
  43.    wt: 2:   5 Function notation for geometric transformations
  44.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  45.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  46.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  47.    wt: 2:   29 secant cosecant and cotangent for acute angles
  48.    wt: 2:   21 sine and cosine Half Angle Formulas
  49.    wt: 2:   20 sine and cosine Double Angle Formulas
  50.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  51.    wt: 2:   17C sine and cosine double triple angle formulas
  52.    wt: 2:   14 cosine even and sine and tangent are odd
  53.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  54.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  55.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  56.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  57.    wt: 2:   11 sine and cosine double triple angle formulas
  58.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  59.    wt: 2:   4 Equations for lines three forms
  60.    wt: 2:   3 Lengths and Areas on Maps and Plans
  61.    wt: 2:   6 Column Methods for Decimal Multiplication
  62.    wt: 2:   6 Compound Interest Forward and Backwards
  63.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  64.    wt: 2:   8 Coordinates for Maps and Planes
  65.    wt: 2:   3 Geometric Formulas and Function Notation
  66.    wt: 2:   1 Formulas Dependence and Function Notation
  67.    wt: 2:   1 Counting and Counting Methods I
  68.    wt: 2:   3 signed coordinates for maps and planes
  69.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  70.    wt: 2:   21 Reciprocals for Fractions and Wholes
  71.    wt: 2:   11 Adding Integers Formulas and Examples
  72.    wt: 2:   Long Division forwards and backwards Example 3
  73.    wt: 2:   Long Division forwards and backwards Example 2
  74.    wt: 2:   Long Division forwards and backwards Example 1
  75.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  76.    wt: 2:   A Elementary Basis for Multiplication Methods
  77.    wt: 2:   8 What skills and work habits to require
  78.    wt: 2:   6. Counting and adding units and mixed units
  79.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  80.    wt: 2:   Formula Evaluation how to show work
  81.    wt: 2:   015 School and work day counting tables
  82.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  83.    wt: 2:   PostScript For and Against Decimal Perspectives
  84.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  85.    wt: 2:   Postscript For Better Performance
  86.    wt: 2:   Appendix E. How To Study Mathematics and Why
  87.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  88.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  89.    wt: 2:   Chapter 2 For and Against Mathematics
  90.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  91.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  92.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  93.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  94.    wt: 2:   J. More on written work and showing skill
  95.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  96.    wt: 2:   7 Games and Activities for Instruction
  97.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  98.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  99.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  100.    wt: 2:   The Math Forum and Site Content
  101.    wt: 1:   Appendix 1 primary and preschool mathematic
  102.    wt: 1:   K LAMP Musings Science Education
  103.    wt: 1:   I LAMP Introduction Study Habits
  104.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  105.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  106.    wt: 1:   8 analytic geometry etc
  107.    wt: 1:   7 logic review and decimals an odd combination
  108.    wt: 1:   6 polynomials etc
  109.    wt: 1:   three goals to set for students
  110.    wt: 1:   permissions for teachers
  111.    wt: 1:   activities for students
  112.    wt: 1:   links Education Resources online
  113.    wt: 1:   key notes and themes
  114.    wt: 1:   Mathematics Education Professors
  115.    wt: 1:   modern education
  116.    wt: 1:   what should be learnt and When
  117.    wt: 1:   geometric implications for algebra
  118.    wt: 1:   02 21 words for teachers
  119.    wt: 1:   02 20 mathematics education references
  120.    wt: 1:   three aims for mathematics students
  121.    wt: 1:   Motivation and Context Problem
  122.    wt: 1:   need for a mixed mathematics curriculum
  123.    wt: 1:   education an empirical art
  124.    wt: 1:   words for mathematics instructor
  125.    wt: 1:   C Electromotive force conventional current02
  126.    wt: 1:   B Electromotive force conventional current01
  127.    wt: 1:   Home Tutoring and Home Schooling
  128.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  129.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  130.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  131.    wt: 1:   15 Counting For Parents
  132.    wt: 1:   14 Multiplication and Times Tables
  133.    wt: 1:   13 Addition and Addition Tables
  134.    wt: 1:   3 Preparing for Science Studies
  135.    wt: 1:   2 Reading and Writing Skills
  136.    wt: 1:   26 Function definitions done and coming
  137.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  138.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  139.    wt: 1:   19 Horizontal line rule and method
  140.    wt: 1:   18 Vertical Line Rule and Method
  141.    wt: 1:   17 Function maxima minima and their location
  142.    wt: 1:   11 Function Domain Range Source and Targets
  143.    wt: 1:   8 Set view of relations and functions
  144.    wt: 1:   4 Function notation in and beyond mathematics
  145.    wt: 1:   3 Formula or function graphing exercise
  146.    wt: 1:   9 quadratics physical and further context
  147.    wt: 1:   8 quadratics backward use of various formulas
  148.    wt: 1:   7 quadratic formulla derivation
  149.    wt: 1:   11 Growth and Decay in Biology
  150.    wt: 1:   10 Exponential Growth and Decay Models
  151.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  152.    wt: 1:   8 Notes for instructors or tutors
  153.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  154.    wt: 1:   16 cotangent function Definition Graph and Inverse
  155.    wt: 1:   15 cosecant function Definition Graph and Inverse
  156.    wt: 1:   14 secant function Definition Graph and Inverse
  157.    wt: 1:   13 cosecant function Definition Graph and Inverse
  158.    wt: 1:   12 motivation for term arctan
  159.    wt: 1:   9 motivation for name arcsin
  160.    wt: 1:   4 possible motivation for term arccos
  161.    wt: 1:   9 Summary Degrees to Radians and back
  162.    wt: 1:   1 Degrees and Radians Introduction
  163.    wt: 1:   A Global Time and Navigation
  164.    wt: 1:   15 Dot and Cross Product
  165.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  166.    wt: 1:   Vector and Complex Number Applet
  167.    wt: 1:   Parallel Lines and Parallel Transversals
  168.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  169.    wt: 1:   Parallel Lines and Interior Angles
  170.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  171.    wt: 1:   Straight Lines ASA Intersection Study More
  172.    wt: 1:   Straight Lines ASA Intersection Study
  173.    wt: 1:   8 Straight Lines Equation for vertical
  174.    wt: 1:   17 tangent function angle sum formulas
  175.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  176.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  177.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  178.    wt: 1:   27 Logarithmic use of products of sines and cosines
  179.    wt: 1:   25 tangent double angle formula Slope connection
  180.    wt: 1:   24 tangent Angle Difference Formula
  181.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  182.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  183.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  184.    wt: 1:   12 Graph of tangent function for one period
  185.    wt: 1:   10 Graphs of sines and cosines many periods
  186.    wt: 1:   9 Graphs of sine and cosine over one period
  187.    wt: 1:   7 period of sine and cosine
  188.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  189.    wt: 1:   21 Logarithms Powers and Exponentials
  190.    wt: 1:   16 References and Originality Question
  191.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  192.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  193.    wt: 1:   3 Trigonometric Ratios sine and cosine
  194.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  195.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  196.    wt: 1:   8 Similarity of Triangles and Polygons
  197.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  198.    wt: 1:   10 Midpoint of [a b] and [b a]
  199.    wt: 1:   8 Mid Point Formula
  200.    wt: 1:   7 Exercises to test skill and concept mastery
  201.    wt: 1:   3 Slope product for perpendicular lines
  202.    wt: 1:   2 point slope equation for a line
  203.    wt: 1:   1 Numerical view of lines and their equations
  204.    wt: 1:   What is and is not here
  205.    wt: 1:   13 Pythagorean spatial distance formulas
  206.    wt: 1:   10 Pythagorean plane distance formula
  207.    wt: 1:   6 Polar Multiplication and Rotation
  208.    wt: 1:   5 Cartesian Addition and Translation
  209.    wt: 1:   4 Polar Coordinates to and from
  210.    wt: 1:   PS H Distributive Law For Complex Numbers
  211.    wt: 1:   PS B Parallelogram Construction Methods
  212.    wt: 1:   PS A Kite Construction Methods
  213.    wt: 1:   16 Angles Subtended By Chords and Diameters
  214.    wt: 1:   6 Ruler and compass Angle Bisection
  215.    wt: 1:   1 Initial Concepts and Terms
  216.    wt: 1:   A Modular and Remainder Arithmetic
  217.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  218.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  219.    wt: 1:   13 Arrows and Vectors in a Plane
  220.    wt: 1:   11 Signed Number Addition and Addition Properties
  221.    wt: 1:   8 Division and Mulplication of Compound Fractions
  222.    wt: 1:   E Long Division Methods more
  223.    wt: 1:   D Long Division Methods
  224.    wt: 1:   C Three Decimal Subtraction Methods
  225.    wt: 1:   B Decimal Comparison and Subtraction
  226.    wt: 1:   A Decimal Addition Columm Methods
  227.    wt: 1:   8 Column Multiplication Methods in General
  228.    wt: 1:   7 Decimals Multiplication Methods Examples
  229.    wt: 1:   5 Distributive Law for Whole Numbers
  230.    wt: 1:   4 Commutative Law Groups Counting Form
  231.    wt: 1:   2 Combing Counts Addition Skills and Principles
  232.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  233.    wt: 1:   4 Rates Ratios and Proporitionality
  234.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  235.    wt: 1:   5 Triangle Area Formula Backwards
  236.    wt: 1:   6 Equations and Systems Equivalent or Implied
  237.    wt: 1:   4 Subtraction and Division Axioms
  238.    wt: 1:   3 Product Axioms Two Forms
  239.    wt: 1:   2 Addition and Multiplication Axioms
  240.    wt: 1:   3 More and Less Than with Unlike Signs
  241.    wt: 1:   10 Real Number Lengths and Signs
  242.    wt: 1:   9 Coordinates for Regions in Space
  243.    wt: 1:   1 Whole and Natural Numbers
  244.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  245.    wt: 1:   3 GE III Equation Addition and Multiplication
  246.    wt: 1:   Using Letters for Physical Quantities
  247.    wt: 1:   13 Naming Identifying Formulas with Words
  248.    wt: 1:   8 Compound Interest Formula Evaluation
  249.    wt: 1:   7 Compound Interest Formula Introduction
  250.    wt: 1:   5 Box Volume Formula Example
  251.    wt: 1:   4 Circle Area Formula Example
  252.    wt: 1:   3 Triangle Area Formula Example
  253.    wt: 1:   2 Another Rectangle Area Formula Example
  254.    wt: 1:   9 Sets in Probability and Statistics
  255.    wt: 1:   3 Counting with Sets etc
  256.    wt: 1:   5 Talking about Numbers and Quantities
  257.    wt: 1:   4 A Brief Story of numbers and algebra
  258.    wt: 1:   1 Three Skills For Algebra
  259.    wt: 1:   arithmetic videos Real Player Format
  260.    wt: 1:   2 More and Less Than with Unlike Signs
  261.    wt: 1:   1 Squares and Square Roots Introduction
  262.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  263.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  264.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  265.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  266.    wt: 1:   7 GCD and LCM from prime factorization
  267.    wt: 1:   4 LCM of 8 and 10 via Prime
  268.    wt: 1:   3 Counting with Tables and Trees II
  269.    wt: 1:   2 Counting with Tables and Trees I
  270.    wt: 1:   11 What are real lengths and numbers
  271.    wt: 1:   7 negative and additive inverse
  272.    wt: 1:   5 lengths and signs of numbers
  273.    wt: 1:   4 signed coordinates for regions in space
  274.    wt: 1:   2 signed and unsigned numbers as coordinates
  275.    wt: 1:   3 Multiplying Units and Numbers
  276.    wt: 1:   2 Equality and Units
  277.    wt: 1:   1 Addition and Subtraction with Units
  278.    wt: 1:   B Fractions and Two Term Ratios
  279.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  280.    wt: 1:   21 Working With Signs
  281.    wt: 1:   17 Efficient Ways to Add and Subtract
  282.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  283.    wt: 1:   14 Adding and Subtracting with Like Denominators
  284.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  285.    wt: 1:   9 Improper Fractions and Mixed Numbers
  286.    wt: 1:   10 Integer Multiplication Formulas
  287.    wt: 1:   5 Zero Movement and Additive Inverses
  288.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  289.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  290.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  291.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  292.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  293.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  294.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  295.    wt: 1:   17 Identify and Count Factors using Primes
  296.    wt: 1:   12 LCD GCD and LCM using Primes
  297.    wt: 1:   7 Calculator Usage Notes and Cautions
  298.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  299.    wt: 1:   5 Prime Factorization and a Square Rule
  300.    wt: 1:   3 video Primes and Composites from 9 times table
  301.    wt: 1:   2 Prime and Composites less than 16
  302.    wt: 1:   Division with Counts and Length
  303.    wt: 1:   12 Why Long Division Works Take III
  304.    wt: 1:   10 Division by Five Long and Short Ways
  305.    wt: 1:   9 Why Long Division Works Take II
  306.    wt: 1:   D Decimal Multiplication Methods Derived
  307.    wt: 1:   4 Two and Three Digit Multipliers
  308.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  309.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  310.    wt: 1:   5 A Tip for Efficent Subtraction
  311.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  312.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  313.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  314.    wt: 1:   11 Place Value SI Standard International way
  315.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  316.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  317.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  318.    wt: 1:   Quick history of numbers and algebra
  319.    wt: 1:   Exact Arithmetic Wholes and Fractions
  320.    wt: 1:   Expression Evaluation how to show work
  321.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  322.    wt: 1:   4 Mixing and Changing Units of Time
  323.    wt: 1:   3 Units and Lengths of Time
  324.    wt: 1:   2 Time and Date Matters in School
  325.    wt: 1:   Example 1. Area Between x and x squared
  326.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  327.    wt: 1:   28 Chain Rule Preparation for a Proof
  328.    wt: 1:   22 Chain Rule for polynomials
  329.    wt: 1:   21 Chain Rule for powers
  330.    wt: 1:   20 Chain Rule for Pulley Systems
  331.    wt: 1:   19 Chain Rule for linear functions
  332.    wt: 1:   17 Derivatives of quotients of sine and cosine
  333.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  334.    wt: 1:   15 sine and cosine derivatives 3rd step
  335.    wt: 1:   14 sine and cosine derivatives 2nd step
  336.    wt: 1:   13 sine and cosine derivatives 1st step
  337.    wt: 1:   10 Power rule for negative integers
  338.    wt: 1:   3 Motivation for Limit Definition Take 2
  339.    wt: 1:   2 Motivation for Limit Definition Take 1
  340.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  341.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  342.    wt: 1:   10 Three one sided limits with infinite values
  343.    wt: 1:   9 Limits Continuity and Composition
  344.    wt: 1:   5 Jumps and absence of unlimited error control
  345.    wt: 1:   3 Decimal insights for limits continuity convergence
  346.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  347.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  348.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  349.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  350.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  351.    wt: 1:   Chapter 12. Units and Slopes
  352.    wt: 1:   Chapter 10 Slopes and Units
  353.    wt: 1:   Chapter 7 Slopes and Velocity
  354.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  355.    wt: 1:   Chapter 2. Slopes and Ski Trails
  356.    wt: 1:   Foreword
  357.    wt: 1:   Postscript More on Better Performance
  358.    wt: 1:   Appendix D. What to do in School and Why
  359.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  360.    wt: 1:   Chapter 31 Direct and Indirect Reason
  361.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  362.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  363.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  364.    wt: 1:   Chapter 23. Notation For Sums
  365.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  366.    wt: 1:   Chapter 20. Degrees and Radians
  367.    wt: 1:   Chapter 19. Functions and Sets
  368.    wt: 1:   Chapter 18. Rules for Algebra
  369.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  370.    wt: 1:   Chapter 12. Shorthand Usage Guide
  371.    wt: 1:   Chapter 11. Why Shorthand
  372.    wt: 1:   Chapter 10 Describing and Changing Calculations
  373.    wt: 1:   Chapter 8 Three Skills For Algebra
  374.    wt: 1:   Solutions For Arithmetic Exercises
  375.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  376.    wt: 1:   Foreword
  377.    wt: 1:   Postscript B Mathematics Education References
  378.    wt: 1:   Chapter 9 The Two Ends
  379.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  380.    wt: 1:   Foreword
  381.    wt: 1:   Postscript C Consistency as a Tool for Reason
  382.    wt: 1:   Postscript B More on Story Telling and Reason
  383.    wt: 1:   Chapter 24 Direct and Indirect Reason
  384.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  385.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  386.    wt: 1:   Chapter 18 Sense and Knowledge
  387.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  388.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  389.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  390.    wt: 1:   Foreword
  391.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  392.    wt: 1:   O On Learning Mathematics and Science
  393.    wt: 1:   N Mathematics Prepare for College Studies
  394.    wt: 1:   N Improving Marks on Tests and Finals
  395.    wt: 1:   I. Logic and language skills
  396.    wt: 1:   H Jigsaw puzzles and problem solving
  397.    wt: 1:   E. When and how to correct errors
  398.    wt: 1:   D. Check work a must with a caution
  399.    wt: 1:   How to Build Skills and Confidence
  400.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  401.    wt: 1:   Chapter 8 Skipped Topics and Why
  402.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  403.    wt: 1:   Chapter 6 More Algebra and Geometry
  404.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  405.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  406.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  407.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  408.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  409.    wt: 1:   Helping the Blind in Logic and Mathematics
  410.    wt: 1:   Mathematics Education References
  411.    wt: 1:   Mathematics Education References
  412.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  413.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  414.    wt: 1:   More Algebra and Slope based Calculus Preview
  415.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  416.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  417.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

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