Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may 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.

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46 matches:

  1.    wt: 2:   Parent Center/
  2.    wt: 2:   9 Proportionality Backwards and Forwards/
  3.    wt: 2:   2 Formula Forward Use Evaluation/
  4.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  5.    wt: 2:   11 Squares and Square Roots/
  6.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 2:   9 Combinatorics Trees Tables and Products/
  8.    wt: 2:   7 Arithmetic and Fractions with Units/
  9.    wt: 2:   6 Fractions and Ratios/
  10.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  11.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 2:   A Decimal Counting and Adding Methods/
  13.    wt: 1:   LAMP Lean Applied Mathematics Program/
  14.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  15.    wt: 1:   Mathematics Education Essays/
  16.    wt: 1:   Mathematics Skills Year by Year/
  17.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  18.    wt: 1:   12 Function Translating and Rescaling/
  19.    wt: 1:   11 Parallel Straight Lines and Transversals/
  20.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  21.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  22.    wt: 1:   4 Lines and Slopes Take 1/
  23.    wt: 1:   3 Cartesian and Polar Coordinates/
  24.    wt: 1:   A Origins of Counting and Figuring Methods/
  25.    wt: 1:   8 Unifying Theme For Algebra/
  26.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  27.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  28.    wt: 1:   4 Computation Rules and Function Notation/
  29.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  30.    wt: 1:   Step 1 Stick diagram and fractions/
  31.    wt: 1:   8 Arithmetic with Signed Numbers/
  32.    wt: 1:   5 Integers/
  33.    wt: 1:   3 Prime Factorization Skills/
  34.    wt: 1:   D Decimal Long Division Methods/
  35.    wt: 1:   C Decimal Multiplication Methods/
  36.    wt: 1:   2 Arithmetic with Decimals/
  37.    wt: 1:   1 Decimal Place Value/
  38.    wt: 1:   Arithmetic and Number Theory Skills/
  39.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  40.    wt: 1:   13 Lessons on Limits and Continuity/
  41.    wt: 1:   Volume 2 Three Skills For Algebra/
  42.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  43.    wt: 1:   Work and Study Tips/
  44.    wt: 1:   Resources and Reciprocal Links/
  45.    wt: 1:   Mathematics 506 Lessons/
  46.    wt: 1:   Mathematics Skill Development Framework/

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392 matches:

  1.    wt: 5:   12 Goals and Objectives For Mathematics
  2.    wt: 4:   Objectives for Mathematics and Logic Language Skill Development
  3.    wt: 4:   38 Formulas and derivatives for powers and roots
  4.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  5.    wt: 3:   three goals for Mathematics Education
  6.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  7.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  8.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  9.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  10.    wt: 3:   26 Formulas for products of sines and cosines
  11.    wt: 3:   17E Trig Formulas for dot and cross Products
  12.    wt: 3:   17D cis formulas for sine cosines and tangent
  13.    wt: 3:   13 Trig Formulas for dot and cross Products
  14.    wt: 3:   12 cis formulas for sine cosines and tangent
  15.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  16.    wt: 3:   2 More and Less Than for Counts and Measures
  17.    wt: 3:   1 Written work formats for developing and showing skill
  18.    wt: 3:   1 More and Less Than for Counts and Measures
  19.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  20.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  21.    wt: 3:   Chapter 2 For and Against Mathematics
  22.    wt: 3:   G. Written work formats for developing and showing skill
  23.    wt: 2:   three goals to set for students
  24.    wt: 2:   three aims for mathematics students
  25.    wt: 2:   standards for course material
  26.    wt: 2:   formal or informal peer review
  27.    wt: 2:   Education in mathematics science and technology
  28.    wt: 2:   need for a mixed mathematics curriculum
  29.    wt: 2:   Prequel In For A Penny In For A Pound
  30.    wt: 2:   fairness and inductive principles for instruction
  31.    wt: 2:   words for mathematics instructor
  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:   22 Student Centered Highschool Mathematics
  36.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  37.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  38.    wt: 2:   17 Math Booklets for children and young teenagers
  39.    wt: 2:   5 Patience Please for Yourself and Your Charges
  40.    wt: 2:   4 Learning Takes Time and Effort
  41.    wt: 2:   6 Set Existence Formation and Notation
  42.    wt: 2:   5 Function notation for geometric transformations
  43.    wt: 2:   4 Function notation in and beyond mathematics
  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 Compound Interest Forward and Backwards
  62.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  63.    wt: 2:   8 Coordinates for Maps and Planes
  64.    wt: 2:   3 Geometric Formulas and Function Notation
  65.    wt: 2:   1 Formulas Dependence and Function Notation
  66.    wt: 2:   Formula Usage Show Work Format
  67.    wt: 2:   3 signed coordinates for maps and planes
  68.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  69.    wt: 2:   21 Reciprocals for Fractions and Wholes
  70.    wt: 2:   11 Adding Integers Formulas and Examples
  71.    wt: 2:   Long Division forwards and backwards Example 3
  72.    wt: 2:   Long Division forwards and backwards Example 2
  73.    wt: 2:   Long Division forwards and backwards Example 1
  74.    wt: 2:   6. Counting and adding units and mixed units
  75.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  76.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  77.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  78.    wt: 2:   PostScript For and Against Decimal Perspectives
  79.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  80.    wt: 2:   Postscript For Better Performance
  81.    wt: 2:   Appendix E. How To Study Mathematics and Why
  82.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  83.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  84.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  85.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  86.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  87.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  88.    wt: 2:   O On Learning Mathematics and Science
  89.    wt: 2:   N Mathematics Prepare for College Studies
  90.    wt: 2:   Helping the Blind in Logic and Mathematics
  91.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  92.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  93.    wt: 2:   Montreal Basic and Advanced Mathematics Tutoring
  94.    wt: 1:   Appendix 1 primary and preschool mathematic
  95.    wt: 1:   E LAMP Introduction Modern Mathematics
  96.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  97.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  98.    wt: 1:   A Introduction Objectives
  99.    wt: 1:   11 pure mathematics
  100.    wt: 1:   7 logic review and decimals an odd combination
  101.    wt: 1:   5 logarithms and exponentials etc
  102.    wt: 1:   Teach the teachers plus goals
  103.    wt: 1:   permissions for teachers
  104.    wt: 1:   activities for students
  105.    wt: 1:   key notes and themes
  106.    wt: 1:   Mathematics Education Professors
  107.    wt: 1:   what should be learnt and When
  108.    wt: 1:   mathematics in context
  109.    wt: 1:   Education Reform Inconsistencies
  110.    wt: 1:   Secondary Three Mathematics
  111.    wt: 1:   Secondary Two Mathematics
  112.    wt: 1:   Secondary One Mathematics
  113.    wt: 1:   mathematics curriculum shifts
  114.    wt: 1:   geometric implications for algebra
  115.    wt: 1:   04 29 New Mathematics Curriculum
  116.    wt: 1:   02 21 words for teachers
  117.    wt: 1:   02 20 mathematics education references
  118.    wt: 1:   mathematics instruction in general
  119.    wt: 1:   three kinds of reason in mathematics
  120.    wt: 1:   Four ways to improve education reform
  121.    wt: 1:   Motivation and Context Problem
  122.    wt: 1:   Leaner mathematics curriculum
  123.    wt: 1:   C Electromotive force conventional current02
  124.    wt: 1:   B Electromotive force conventional current01
  125.    wt: 1:   Home Tutoring and Home Schooling
  126.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  127.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  128.    wt: 1:   18 Primary School Mathematics
  129.    wt: 1:   16 Secondary Mathematics Tips
  130.    wt: 1:   15 Counting For Parents
  131.    wt: 1:   14 Multiplication and Times Tables
  132.    wt: 1:   13 Addition and Addition Tables
  133.    wt: 1:   11 Help and Defend Your Child or Teens Education
  134.    wt: 1:   10 Ends values for work study instruction
  135.    wt: 1:   3 Preparing for Science Studies
  136.    wt: 1:   2 Reading and Writing Skills
  137.    wt: 1:   26 Function definitions done and coming
  138.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  139.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  140.    wt: 1:   19 Horizontal line rule and method
  141.    wt: 1:   18 Vertical Line Rule and Method
  142.    wt: 1:   17 Function maxima minima and their location
  143.    wt: 1:   11 Function Domain Range Source and Targets
  144.    wt: 1:   8 Set view of relations and functions
  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:   12 From Applied To Pure Mathematics
  166.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  167.    wt: 1:   Vector and Complex Number Applet
  168.    wt: 1:   Parallel Lines and Parallel Transversals
  169.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  170.    wt: 1:   Parallel Lines and Interior Angles
  171.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  172.    wt: 1:   8 Straight Lines Equation for vertical
  173.    wt: 1:   17 tangent function angle sum formulas
  174.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  175.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  176.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  177.    wt: 1:   27 Logarithmic use of products of sines and cosines
  178.    wt: 1:   25 tangent double angle formula Slope connection
  179.    wt: 1:   24 tangent Angle Difference Formula
  180.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  181.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  182.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  183.    wt: 1:   12 Graph of tangent function for one period
  184.    wt: 1:   10 Graphs of sines and cosines many periods
  185.    wt: 1:   9 Graphs of sine and cosine over one period
  186.    wt: 1:   7 period of sine and cosine
  187.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  188.    wt: 1:   21 Logarithms Powers and Exponentials
  189.    wt: 1:   16 References and Originality Question
  190.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  191.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  192.    wt: 1:   3 Trigonometric Ratios sine and cosine
  193.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  194.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  195.    wt: 1:   8 Similarity of Triangles and Polygons
  196.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  197.    wt: 1:   10 Midpoint of [a b] and [b a]
  198.    wt: 1:   8 Mid Point Formula
  199.    wt: 1:   7 Exercises to test skill and concept mastery
  200.    wt: 1:   3 Slope product for perpendicular lines
  201.    wt: 1:   2 point slope equation for a line
  202.    wt: 1:   1 Numerical view of lines and their equations
  203.    wt: 1:   What is and is not here
  204.    wt: 1:   13 Pythagorean spatial distance formulas
  205.    wt: 1:   10 Pythagorean plane distance formula
  206.    wt: 1:   6 Polar Multiplication and Rotation
  207.    wt: 1:   5 Cartesian Addition and Translation
  208.    wt: 1:   4 Polar Coordinates to and from
  209.    wt: 1:   PS H Distributive Law For Complex Numbers
  210.    wt: 1:   16 Angles Subtended By Chords and Diameters
  211.    wt: 1:   6 Ruler and compass Angle Bisection
  212.    wt: 1:   1 Initial Concepts and Terms
  213.    wt: 1:   A Modular and Remainder Arithmetic
  214.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  215.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  216.    wt: 1:   13 Arrows and Vectors in a Plane
  217.    wt: 1:   11 Signed Number Addition and Addition Properties
  218.    wt: 1:   8 Division and Mulplication of Compound Fractions
  219.    wt: 1:   B Decimal Comparison and Subtraction
  220.    wt: 1:   6 Column Methods for Decimal Multiplication
  221.    wt: 1:   5 Distributive Law for Whole Numbers
  222.    wt: 1:   4 Commutative Law Groups Counting Form
  223.    wt: 1:   2 Combing Counts Addition Skills and Principles
  224.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  225.    wt: 1:   4 Rates Ratios and Proporitionality
  226.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  227.    wt: 1:   5 Triangle Area Formula Backwards
  228.    wt: 1:   6 Equations and Systems Equivalent or Implied
  229.    wt: 1:   4 Subtraction and Division Axioms
  230.    wt: 1:   3 Product Axioms Two Forms
  231.    wt: 1:   2 Addition and Multiplication Axioms
  232.    wt: 1:   3 More and Less Than with Unlike Signs
  233.    wt: 1:   10 Real Number Lengths and Signs
  234.    wt: 1:   9 Coordinates for Regions in Space
  235.    wt: 1:   1 Whole and Natural Numbers
  236.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  237.    wt: 1:   3 GE III Equation Addition and Multiplication
  238.    wt: 1:   Using Letters for Physical Quantities
  239.    wt: 1:   13 Naming Identifying Formulas with Words
  240.    wt: 1:   8 Compound Interest Formula Evaluation
  241.    wt: 1:   7 Compound Interest Formula Introduction
  242.    wt: 1:   5 Box Volume Formula Example
  243.    wt: 1:   4 Circle Area Formula Example
  244.    wt: 1:   3 Triangle Area Formula Example
  245.    wt: 1:   2 Another Rectangle Area Formula Example
  246.    wt: 1:   9 Sets in Probability and Statistics
  247.    wt: 1:   5 Talking about Numbers and Quantities
  248.    wt: 1:   4 A Brief Story of numbers and algebra
  249.    wt: 1:   1 Three Skills For Algebra
  250.    wt: 1:   arithmetic videos Real Player Format
  251.    wt: 1:   2 More and Less Than with Unlike Signs
  252.    wt: 1:   1 Squares and Square Roots Introduction
  253.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  254.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  255.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  256.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  257.    wt: 1:   7 GCD and LCM from prime factorization
  258.    wt: 1:   4 LCM of 8 and 10 via Prime
  259.    wt: 1:   3 Counting with Tables and Trees II
  260.    wt: 1:   2 Counting with Tables and Trees I
  261.    wt: 1:   1 Counting and Counting Methods I
  262.    wt: 1:   11 What are real lengths and numbers
  263.    wt: 1:   7 negative and additive inverse
  264.    wt: 1:   5 lengths and signs of numbers
  265.    wt: 1:   4 signed coordinates for regions in space
  266.    wt: 1:   2 signed and unsigned numbers as coordinates
  267.    wt: 1:   3 Multiplying Units and Numbers
  268.    wt: 1:   2 Equality and Units
  269.    wt: 1:   1 Addition and Subtraction with Units
  270.    wt: 1:   B Fractions and Two Term Ratios
  271.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  272.    wt: 1:   17 Efficient Ways to Add and Subtract
  273.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  274.    wt: 1:   14 Adding and Subtracting with Like Denominators
  275.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  276.    wt: 1:   9 Improper Fractions and Mixed Numbers
  277.    wt: 1:   10 Integer Multiplication Formulas
  278.    wt: 1:   5 Zero Movement and Additive Inverses
  279.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  280.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  281.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  282.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  283.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  284.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  285.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  286.    wt: 1:   17 Identify and Count Factors using Primes
  287.    wt: 1:   12 LCD GCD and LCM using Primes
  288.    wt: 1:   7 Calculator Usage Notes and Cautions
  289.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  290.    wt: 1:   5 Prime Factorization and a Square Rule
  291.    wt: 1:   3 video Primes and Composites from 9 times table
  292.    wt: 1:   2 Prime and Composites less than 16
  293.    wt: 1:   Division with Counts and Length
  294.    wt: 1:   10 Division by Five Long and Short Ways
  295.    wt: 1:   A Elementary Basis for Multiplication Methods
  296.    wt: 1:   4 Two and Three Digit Multipliers
  297.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  298.    wt: 1:   5 A Tip for Efficent Subtraction
  299.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  300.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  301.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  302.    wt: 1:   8 What skills and work habits to require
  303.    wt: 1:   11 Place Value SI Standard International way
  304.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  305.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  306.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  307.    wt: 1:   Quick history of numbers and algebra
  308.    wt: 1:   Exact Arithmetic Wholes and Fractions
  309.    wt: 1:   Formula Evaluation how to show work
  310.    wt: 1:   015 School and work day counting tables
  311.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  312.    wt: 1:   4 Mixing and Changing Units of Time
  313.    wt: 1:   3 Units and Lengths of Time
  314.    wt: 1:   2 Time and Date Matters in School
  315.    wt: 1:   Example 1. Area Between x and x squared
  316.    wt: 1:   28 Chain Rule Preparation for a Proof
  317.    wt: 1:   22 Chain Rule for polynomials
  318.    wt: 1:   21 Chain Rule for powers
  319.    wt: 1:   20 Chain Rule for Pulley Systems
  320.    wt: 1:   19 Chain Rule for linear functions
  321.    wt: 1:   17 Derivatives of quotients of sine and cosine
  322.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  323.    wt: 1:   15 sine and cosine derivatives 3rd step
  324.    wt: 1:   14 sine and cosine derivatives 2nd step
  325.    wt: 1:   13 sine and cosine derivatives 1st step
  326.    wt: 1:   10 Power rule for negative integers
  327.    wt: 1:   3 Motivation for Limit Definition Take 2
  328.    wt: 1:   2 Motivation for Limit Definition Take 1
  329.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  330.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  331.    wt: 1:   9 Limits Continuity and Composition
  332.    wt: 1:   5 Jumps and absence of unlimited error control
  333.    wt: 1:   3 Decimal insights for limits continuity convergence
  334.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  335.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  336.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  337.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  338.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  339.    wt: 1:   Chapter 12. Units and Slopes
  340.    wt: 1:   Chapter 10 Slopes and Units
  341.    wt: 1:   Chapter 7 Slopes and Velocity
  342.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  343.    wt: 1:   Chapter 2. Slopes and Ski Trails
  344.    wt: 1:   Foreword
  345.    wt: 1:   Postscript More on Better Performance
  346.    wt: 1:   Appendix D. What to do in School and Why
  347.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  348.    wt: 1:   Chapter 31 Direct and Indirect Reason
  349.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  350.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  351.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  352.    wt: 1:   Chapter 23. Notation For Sums
  353.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  354.    wt: 1:   Chapter 20. Degrees and Radians
  355.    wt: 1:   Chapter 19. Functions and Sets
  356.    wt: 1:   Chapter 18. Rules for Algebra
  357.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  358.    wt: 1:   Chapter 12. Shorthand Usage Guide
  359.    wt: 1:   Chapter 11. Why Shorthand
  360.    wt: 1:   Chapter 10 Describing and Changing Calculations
  361.    wt: 1:   Chapter 8 Three Skills For Algebra
  362.    wt: 1:   Solutions For Arithmetic Exercises
  363.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  364.    wt: 1:   Foreword
  365.    wt: 1:   Postscript B Mathematics Education References
  366.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  367.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  368.    wt: 1:   Foreword
  369.    wt: 1:   Postscript C Consistency as a Tool for Reason
  370.    wt: 1:   Postscript B More on Story Telling and Reason
  371.    wt: 1:   Chapter 24 Direct and Indirect Reason
  372.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  373.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  374.    wt: 1:   Chapter 18 Sense and Knowledge
  375.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  376.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  377.    wt: 1:   Foreword
  378.    wt: 1:   R Why Learn Mathematics Skills
  379.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  380.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  381.    wt: 1:   N Improving Marks on Tests and Finals
  382.    wt: 1:   J. More on written work and showing skill
  383.    wt: 1:   I. Logic and language skills
  384.    wt: 1:   H Jigsaw puzzles and problem solving
  385.    wt: 1:   E. When and how to correct errors
  386.    wt: 1:   How to Build Skills and Confidence
  387.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  388.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  389.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  390.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  391.    wt: 1:   More Algebra and Slope based Calculus Preview
  392.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

Extended Search

768 matches:

  1.    wt: 7:   12 Goals and Objectives For Mathematics
  2.    wt: 5:   Objectives for Mathematics and Logic Language Skill Development
  3.    wt: 5:   1 Written work formats for developing and showing skill
  4.    wt: 5:   1 More and Less Than for Counts and Measures
  5.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  6.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  7.    wt: 4:   three goals for Mathematics Education
  8.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  9.    wt: 4:   24 Standards For Skill Develoment Take II
  10.    wt: 4:   24 Standards For Skill Develoment
  11.    wt: 4:   22 Student Centered Highschool Mathematics
  12.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  13.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  14.    wt: 4:   17 Math Booklets for children and young teenagers
  15.    wt: 4:   5 Patience Please for Yourself and Your Charges
  16.    wt: 4:   4 Learning Takes Time and Effort
  17.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  18.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  19.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  20.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  21.    wt: 4:   2 More and Less Than for Counts and Measures
  22.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  23.    wt: 4:   21 Reciprocals for Fractions and Wholes
  24.    wt: 4:   6. Counting and adding units and mixed units
  25.    wt: 4:   38 Formulas and derivatives for powers and roots
  26.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  27.    wt: 4:   Chapter 2 For and Against Mathematics
  28.    wt: 4:   G. Written work formats for developing and showing skill
  29.    wt: 3:   three goals to set for students
  30.    wt: 3:   three aims for mathematics students
  31.    wt: 3:   standards for course material
  32.    wt: 3:   formal or informal peer review
  33.    wt: 3:   Education in mathematics science and technology
  34.    wt: 3:   need for a mixed mathematics curriculum
  35.    wt: 3:   Prequel In For A Penny In For A Pound
  36.    wt: 3:   fairness and inductive principles for instruction
  37.    wt: 3:   words for mathematics instructor
  38.    wt: 3:   Home Tutoring and Home Schooling
  39.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  40.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  41.    wt: 3:   18 Primary School Mathematics
  42.    wt: 3:   16 Secondary Mathematics Tips
  43.    wt: 3:   15 Counting For Parents
  44.    wt: 3:   14 Multiplication and Times Tables
  45.    wt: 3:   13 Addition and Addition Tables
  46.    wt: 3:   11 Help and Defend Your Child or Teens Education
  47.    wt: 3:   10 Ends values for work study instruction
  48.    wt: 3:   3 Preparing for Science Studies
  49.    wt: 3:   2 Reading and Writing Skills
  50.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  51.    wt: 3:   26 Formulas for products of sines and cosines
  52.    wt: 3:   17E Trig Formulas for dot and cross Products
  53.    wt: 3:   17D cis formulas for sine cosines and tangent
  54.    wt: 3:   13 Trig Formulas for dot and cross Products
  55.    wt: 3:   12 cis formulas for sine cosines and tangent
  56.    wt: 3:   4 Equations for lines three forms
  57.    wt: 3:   4 Rates Ratios and Proporitionality
  58.    wt: 3:   6 Compound Interest Forward and Backwards
  59.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  60.    wt: 3:   3 Geometric Formulas and Function Notation
  61.    wt: 3:   1 Formulas Dependence and Function Notation
  62.    wt: 3:   13 Naming Identifying Formulas with Words
  63.    wt: 3:   8 Compound Interest Formula Evaluation
  64.    wt: 3:   7 Compound Interest Formula Introduction
  65.    wt: 3:   5 Box Volume Formula Example
  66.    wt: 3:   4 Circle Area Formula Example
  67.    wt: 3:   3 Triangle Area Formula Example
  68.    wt: 3:   2 Another Rectangle Area Formula Example
  69.    wt: 3:   2 More and Less Than with Unlike Signs
  70.    wt: 3:   1 Squares and Square Roots Introduction
  71.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  72.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  73.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  74.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  75.    wt: 3:   7 GCD and LCM from prime factorization
  76.    wt: 3:   4 LCM of 8 and 10 via Prime
  77.    wt: 3:   3 Counting with Tables and Trees II
  78.    wt: 3:   2 Counting with Tables and Trees I
  79.    wt: 3:   1 Counting and Counting Methods I
  80.    wt: 3:   3 signed coordinates for maps and planes
  81.    wt: 3:   3 Multiplying Units and Numbers
  82.    wt: 3:   2 Equality and Units
  83.    wt: 3:   1 Addition and Subtraction with Units
  84.    wt: 3:   B Fractions and Two Term Ratios
  85.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  86.    wt: 3:   17 Efficient Ways to Add and Subtract
  87.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  88.    wt: 3:   14 Adding and Subtracting with Like Denominators
  89.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  90.    wt: 3:   9 Improper Fractions and Mixed Numbers
  91.    wt: 3:   11 Adding Integers Formulas and Examples
  92.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  93.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  94.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  95.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  96.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  97.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  98.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  99.    wt: 3:   Long Division forwards and backwards Example 3
  100.    wt: 3:   Long Division forwards and backwards Example 2
  101.    wt: 3:   Long Division forwards and backwards Example 1
  102.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  103.    wt: 3:   5 A Tip for Efficent Subtraction
  104.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  105.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  106.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  107.    wt: 3:   8 What skills and work habits to require
  108.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  109.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  110.    wt: 3:   Postscript For Better Performance
  111.    wt: 3:   Appendix E. How To Study Mathematics and Why
  112.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  113.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  114.    wt: 3:   O On Learning Mathematics and Science
  115.    wt: 3:   N Mathematics Prepare for College Studies
  116.    wt: 3:   Helping the Blind in Logic and Mathematics
  117.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  118.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  119.    wt: 2:   Appendix 1 primary and preschool mathematic
  120.    wt: 2:   E LAMP Introduction Modern Mathematics
  121.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  122.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  123.    wt: 2:   A Introduction Objectives
  124.    wt: 2:   11 pure mathematics
  125.    wt: 2:   7 logic review and decimals an odd combination
  126.    wt: 2:   5 logarithms and exponentials etc
  127.    wt: 2:   Teach the teachers plus goals
  128.    wt: 2:   permissions for teachers
  129.    wt: 2:   activities for students
  130.    wt: 2:   key notes and themes
  131.    wt: 2:   Mathematics Education Professors
  132.    wt: 2:   what should be learnt and When
  133.    wt: 2:   mathematics in context
  134.    wt: 2:   Education Reform Inconsistencies
  135.    wt: 2:   Secondary Three Mathematics
  136.    wt: 2:   Secondary Two Mathematics
  137.    wt: 2:   Secondary One Mathematics
  138.    wt: 2:   mathematics curriculum shifts
  139.    wt: 2:   geometric implications for algebra
  140.    wt: 2:   04 29 New Mathematics Curriculum
  141.    wt: 2:   02 21 words for teachers
  142.    wt: 2:   02 20 mathematics education references
  143.    wt: 2:   mathematics instruction in general
  144.    wt: 2:   three kinds of reason in mathematics
  145.    wt: 2:   Four ways to improve education reform
  146.    wt: 2:   Motivation and Context Problem
  147.    wt: 2:   Leaner mathematics curriculum
  148.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  149.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  150.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  151.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  152.    wt: 2:   9 Streaming by Student Cooperation
  153.    wt: 2:   8 The Effect of Negative Remarks
  154.    wt: 2:   7 Student Motivation
  155.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  156.    wt: 2:   1 Speaking Skills
  157.    wt: 2:   6 Set Existence Formation and Notation
  158.    wt: 2:   5 Function notation for geometric transformations
  159.    wt: 2:   4 Function notation in and beyond mathematics
  160.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  161.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  162.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  163.    wt: 2:   9 Summary Degrees to Radians and back
  164.    wt: 2:   1 Degrees and Radians Introduction
  165.    wt: 2:   Parallel Lines and Parallel Transversals
  166.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  167.    wt: 2:   Parallel Lines and Interior Angles
  168.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  169.    wt: 2:   8 Straight Lines Equation for vertical
  170.    wt: 2:   29 secant cosecant and cotangent for acute angles
  171.    wt: 2:   21 sine and cosine Half Angle Formulas
  172.    wt: 2:   20 sine and cosine Double Angle Formulas
  173.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  174.    wt: 2:   17C sine and cosine double triple angle formulas
  175.    wt: 2:   14 cosine even and sine and tangent are odd
  176.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  177.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  178.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  179.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  180.    wt: 2:   11 sine and cosine double triple angle formulas
  181.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  182.    wt: 2:   10 Midpoint of [a b] and [b a]
  183.    wt: 2:   8 Mid Point Formula
  184.    wt: 2:   7 Exercises to test skill and concept mastery
  185.    wt: 2:   3 Slope product for perpendicular lines
  186.    wt: 2:   2 point slope equation for a line
  187.    wt: 2:   1 Numerical view of lines and their equations
  188.    wt: 2:   What is and is not here
  189.    wt: 2:   13 Pythagorean spatial distance formulas
  190.    wt: 2:   10 Pythagorean plane distance formula
  191.    wt: 2:   6 Polar Multiplication and Rotation
  192.    wt: 2:   5 Cartesian Addition and Translation
  193.    wt: 2:   4 Polar Coordinates to and from
  194.    wt: 2:   3 Lengths and Areas on Maps and Plans
  195.    wt: 2:   B Decimal Comparison and Subtraction
  196.    wt: 2:   6 Column Methods for Decimal Multiplication
  197.    wt: 2:   5 Distributive Law for Whole Numbers
  198.    wt: 2:   4 Commutative Law Groups Counting Form
  199.    wt: 2:   2 Combing Counts Addition Skills and Principles
  200.    wt: 2:   5 Proportionality in Equivalent Fractions
  201.    wt: 2:   3 Proportionality Examples
  202.    wt: 2:   2 Algebraic View
  203.    wt: 2:   1 What is Proportionality
  204.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  205.    wt: 2:   5 Triangle Area Formula Backwards
  206.    wt: 2:   6 Equations and Systems Equivalent or Implied
  207.    wt: 2:   4 Subtraction and Division Axioms
  208.    wt: 2:   3 Product Axioms Two Forms
  209.    wt: 2:   2 Addition and Multiplication Axioms
  210.    wt: 2:   3 More and Less Than with Unlike Signs
  211.    wt: 2:   8 Coordinates for Maps and Planes
  212.    wt: 2:   Formula Usage Show Work Format
  213.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  214.    wt: 2:   11 Volume of Sphere
  215.    wt: 2:   10 Volume of Pyramid
  216.    wt: 2:   9 Volume of Cone
  217.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  218.    wt: 2:   arithmetic videos Real Player Format
  219.    wt: 2:   4 Greater More Less Than Signs in General
  220.    wt: 2:   3 Comparison of Negative Numbers
  221.    wt: 2:   5 Square Roots with primes more still
  222.    wt: 2:   4 Square Roots with primes more
  223.    wt: 2:   3 Properties of Square Roots with example
  224.    wt: 2:   2 Square Roots with Prime
  225.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  226.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  227.    wt: 2:   13 GCD from given Prime Factorization
  228.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  229.    wt: 2:   8 GCD from Euclidean Algorithm
  230.    wt: 2:   6 GCD from Prime
  231.    wt: 2:   5 Common Divisors 60 45 via Prime
  232.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  233.    wt: 2:   2 Least Common Multiple LCM intro via list method
  234.    wt: 2:   1 Least Common Multiples LCM Introduction
  235.    wt: 2:   12 GCD 2700 288 via Prime
  236.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  237.    wt: 2:   4 Counting with Trees Product Rule Take I
  238.    wt: 2:   11 What are real lengths and numbers
  239.    wt: 2:   7 negative and additive inverse
  240.    wt: 2:   5 lengths and signs of numbers
  241.    wt: 2:   4 signed coordinates for regions in space
  242.    wt: 2:   2 signed and unsigned numbers as coordinates
  243.    wt: 2:   7 Converting or Changing Units
  244.    wt: 2:   6 Simplification of Fractions with Units
  245.    wt: 2:   4 Fractions with Units
  246.    wt: 2:   D Three Term Ratios
  247.    wt: 2:   22 Complex Compound Fractions
  248.    wt: 2:   21 Working With Signs
  249.    wt: 2:   20 Dividing Fractions the Why
  250.    wt: 2:   19 Dividing Fractions How TO
  251.    wt: 2:   18 Efficient Ways to Multiply
  252.    wt: 2:   16 Addition Subtraction Comparision Compared
  253.    wt: 2:   13 Fraction Comparison Algebraic View
  254.    wt: 2:   12 Fraction Comparison
  255.    wt: 2:   11 Simplification an Algebraic View
  256.    wt: 2:   8 Numerals Fractionals Quantals Take II
  257.    wt: 2:   7 Numerals Fractionals Quantals
  258.    wt: 2:   6 Multiplication Algebraically Take II
  259.    wt: 2:   5 Equivalent Fractions
  260.    wt: 2:   4 Fraction Multiplication
  261.    wt: 2:   3 Unit fraction of a fraction
  262.    wt: 2:   2 Unit Fraction Multiplication
  263.    wt: 2:   1 What is a fraction Take II
  264.    wt: 2:   1 What is a fraction
  265.    wt: 2:   10 Integer Multiplication Formulas
  266.    wt: 2:   5 Zero Movement and Additive Inverses
  267.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  268.    wt: 2:   26 Divisibility by 2 3 5 Example
  269.    wt: 2:   23 Remainder Arithmetic Modulo 2
  270.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  271.    wt: 2:   21 Remainder Arithmetic Modulo 3
  272.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  273.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  274.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  275.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  276.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  277.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  278.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  279.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  280.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  281.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  282.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  283.    wt: 2:   5 Remainder Arithmetic Modulo 5
  284.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  285.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  286.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  287.    wt: 2:   1 Remainder Arithmetic Modulo 10
  288.    wt: 2:   17 Identify and Count Factors using Primes
  289.    wt: 2:   12 LCD GCD and LCM using Primes
  290.    wt: 2:   7 Calculator Usage Notes and Cautions
  291.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  292.    wt: 2:   5 Prime Factorization and a Square Rule
  293.    wt: 2:   3 video Primes and Composites from 9 times table
  294.    wt: 2:   2 Prime and Composites less than 16
  295.    wt: 2:   Division with Counts and Length
  296.    wt: 2:   10 Division by Five Long and Short Ways
  297.    wt: 2:   A Elementary Basis for Multiplication Methods
  298.    wt: 2:   4 Two and Three Digit Multipliers
  299.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  300.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  301.    wt: 2:   Subtraction with J Conversions Example
  302.    wt: 2:   Subtraction Another Video Lesson
  303.    wt: 2:   9 22 Minute Subtraction Review Video
  304.    wt: 2:   8 Subtraction with Units of Measure
  305.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  306.    wt: 2:   2 Subtraction Easy Case Examples
  307.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  308.    wt: 2:   7 Adding decimal fractions using decimal point
  309.    wt: 2:   5. How to add decimals C. Examples
  310.    wt: 2:   4. How to add with decimals B with conversions
  311.    wt: 2:   3. How to add with decimals A sans conversions
  312.    wt: 2:   2 Decimal Counting Practices
  313.    wt: 2:   1. Explaining Addition Table
  314.    wt: 2:   11 Place Value SI Standard International way
  315.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  316.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  317.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  318.    wt: 2:   Quick history of numbers and algebra
  319.    wt: 2:   Exact Arithmetic Wholes and Fractions
  320.    wt: 2:   Formula Evaluation how to show work
  321.    wt: 2:   Example 1. Area Between x and x squared
  322.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  323.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  324.    wt: 2:   9 Limits Continuity and Composition
  325.    wt: 2:   5 Jumps and absence of unlimited error control
  326.    wt: 2:   3 Decimal insights for limits continuity convergence
  327.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  328.    wt: 2:   PostScript For and Against Decimal Perspectives
  329.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  330.    wt: 2:   Postscript More on Better Performance
  331.    wt: 2:   Appendix D. What to do in School and Why
  332.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  333.    wt: 2:   Chapter 31 Direct and Indirect Reason
  334.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  335.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  336.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  337.    wt: 2:   Chapter 23. Notation For Sums
  338.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  339.    wt: 2:   Chapter 20. Degrees and Radians
  340.    wt: 2:   Chapter 19. Functions and Sets
  341.    wt: 2:   Chapter 18. Rules for Algebra
  342.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  343.    wt: 2:   Chapter 12. Shorthand Usage Guide
  344.    wt: 2:   Chapter 11. Why Shorthand
  345.    wt: 2:   Chapter 10 Describing and Changing Calculations
  346.    wt: 2:   Chapter 8 Three Skills For Algebra
  347.    wt: 2:   Solutions For Arithmetic Exercises
  348.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  349.    wt: 2:   Foreword
  350.    wt: 2:   Postscript B Mathematics Education References
  351.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  352.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  353.    wt: 2:   Foreword
  354.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  355.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  356.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  357.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  358.    wt: 2:   R Why Learn Mathematics Skills
  359.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  360.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  361.    wt: 2:   N Improving Marks on Tests and Finals
  362.    wt: 2:   J. More on written work and showing skill
  363.    wt: 2:   I. Logic and language skills
  364.    wt: 2:   H Jigsaw puzzles and problem solving
  365.    wt: 2:   E. When and how to correct errors
  366.    wt: 2:   How to Build Skills and Confidence
  367.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  368.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  369.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  370.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  371.    wt: 2:   More Algebra and Slope based Calculus Preview
  372.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  373.    wt: 2:   Montreal Basic and Advanced Mathematics Tutoring
  374.    wt: 1:   Appendix 2 primary school Arithmetic 01
  375.    wt: 1:   K LAMP Musings Science Education
  376.    wt: 1:   J LAMP Introduction Extrinsic Origins
  377.    wt: 1:   I LAMP Introduction Study Habits
  378.    wt: 1:   H LAMP Introduction Instructional Concepts
  379.    wt: 1:   G LAMP Introduction Problem Solving Skills
  380.    wt: 1:   F LAMP Introduction Prerequisites
  381.    wt: 1:   Skills Chapter 5 Calculus
  382.    wt: 1:   Skills Chapter 4 Logic
  383.    wt: 1:   Ramblings Extrinsic numbers theory
  384.    wt: 1:   Ramblings Introduction Algebra Essay
  385.    wt: 1:   Skills Chapter 3 Algebra
  386.    wt: 1:   Skills Chapter 2 Geometry
  387.    wt: 1:   Skills Chapter 1 Arithmetic
  388.    wt: 1:   Skills Chapter 0 Introduction
  389.    wt: 1:   10 statistics
  390.    wt: 1:   9 combinatorics probability sets
  391.    wt: 1:   8 analytic geometry etc
  392.    wt: 1:   6 polynomials etc
  393.    wt: 1:   4 algebra
  394.    wt: 1:   3 Euclidean Geometry Leanly
  395.    wt: 1:   2 arithmetic with signed numbers
  396.    wt: 1:   1 arithmetic with unsigned numbers
  397.    wt: 1:   What is POMME
  398.    wt: 1:   why bother
  399.    wt: 1:   which way to go
  400.    wt: 1:   website reviews
  401.    wt: 1:   Math Ed if it must be short make it lean effective
  402.    wt: 1:   Applied Maths Program14092009 POMME variant
  403.    wt: 1:   links Education Resources online
  404.    wt: 1:   site origins
  405.    wt: 1:   site eurekas
  406.    wt: 1:   About site lesson plans
  407.    wt: 1:   teacher certification
  408.    wt: 1:   modern education
  409.    wt: 1:   learning takes time
  410.    wt: 1:   grouping students according to ability
  411.    wt: 1:   Postscript 2007 01 10
  412.    wt: 1:   five decades make a difference
  413.    wt: 1:   Maps Plans Drawings
  414.    wt: 1:   how letters appear
  415.    wt: 1:   talk the algebra talk
  416.    wt: 1:   three difficulties
  417.    wt: 1:   teaching tips
  418.    wt: 1:   What to Tell Students
  419.    wt: 1:   teaching tutoring algebraic reason
  420.    wt: 1:   Lessening Algebra Difficulties
  421.    wt: 1:   the trouble with algebra
  422.    wt: 1:   05 13 OldSiteEntrancePage
  423.    wt: 1:   04 25 when to stop or suspend mathemat
  424.    wt: 1:   Operational Viewpoint to Value
  425.    wt: 1:   Theory of Knowledge
  426.    wt: 1:   Different Kinds of Reasoning in maths
  427.    wt: 1:   cultivating intelligence
  428.    wt: 1:   How to be a better instructor
  429.    wt: 1:   education an empirical art
  430.    wt: 1:   C Electromotive force conventional current02
  431.    wt: 1:   B Electromotive force conventional current01
  432.    wt: 1:   Ages 12 to 14 Skills with take home value
  433.    wt: 1:   Ages 12 to 14 Geometry
  434.    wt: 1:   Ages 12 to 14 Arithmetic
  435.    wt: 1:   Ages 10 to 12 Geometry
  436.    wt: 1:   Ages 10 to 12 Arithmetic
  437.    wt: 1:   Ages 9 to 10
  438.    wt: 1:   Ages 8 to 9
  439.    wt: 1:   Ages 7 to 8
  440.    wt: 1:   Ages 6 to 7
  441.    wt: 1:   Ages 4 plus to 5 plus
  442.    wt: 1:   Ages 3 plus to 4 plus
  443.    wt: 1:   26 Function definitions done and coming
  444.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  445.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  446.    wt: 1:   19 Horizontal line rule and method
  447.    wt: 1:   18 Vertical Line Rule and Method
  448.    wt: 1:   17 Function maxima minima and their location
  449.    wt: 1:   11 Function Domain Range Source and Targets
  450.    wt: 1:   8 Set view of relations and functions
  451.    wt: 1:   3 Formula or function graphing exercise
  452.    wt: 1:   9 quadratics physical and further context
  453.    wt: 1:   8 quadratics backward use of various formulas
  454.    wt: 1:   7 quadratic formulla derivation
  455.    wt: 1:   11 Growth and Decay in Biology
  456.    wt: 1:   10 Exponential Growth and Decay Models
  457.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  458.    wt: 1:   8 Notes for instructors or tutors
  459.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  460.    wt: 1:   16 cotangent function Definition Graph and Inverse
  461.    wt: 1:   15 cosecant function Definition Graph and Inverse
  462.    wt: 1:   14 secant function Definition Graph and Inverse
  463.    wt: 1:   13 cosecant function Definition Graph and Inverse
  464.    wt: 1:   12 motivation for term arctan
  465.    wt: 1:   9 motivation for name arcsin
  466.    wt: 1:   4 possible motivation for term arccos
  467.    wt: 1:   8 Radian Measures of Common Angles
  468.    wt: 1:   7 Radian Measures in special Triangles
  469.    wt: 1:   6 Radian Measure to Degrees
  470.    wt: 1:   5 Degrees to Radian Measure
  471.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  472.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  473.    wt: 1:   2 Radian Measure Numerical Value of one degree
  474.    wt: 1:   A Global Time and Navigation
  475.    wt: 1:   15 Dot and Cross Product
  476.    wt: 1:   12 From Applied To Pure Mathematics
  477.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  478.    wt: 1:   Vector and Complex Number Applet
  479.    wt: 1:   4 graphing y=Asin(x c)
  480.    wt: 1:   3 graphing y=f(x c) plus K
  481.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  482.    wt: 1:   1 graphing y=f(x a)
  483.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  484.    wt: 1:   Triangle Angles Sum To 180 Degrees
  485.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  486.    wt: 1:   Straight Lines ASA Intersection Study More
  487.    wt: 1:   Straight Lines ASA Intersection Study
  488.    wt: 1:   Straight Lines Instersection Solving Equations
  489.    wt: 1:   Straight Lines Intersection of
  490.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  491.    wt: 1:   C Straight Lines Slope from Coordinates
  492.    wt: 1:   B Straight Line Slope Scaling Properties More
  493.    wt: 1:   A Straight Line Slope Scaling Properties
  494.    wt: 1:   14 Straight Lines Equations General Case
  495.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  496.    wt: 1:   12 Straight Lines Graphing mx plus b
  497.    wt: 1:   11 Straight Lines Graphing y=mx
  498.    wt: 1:   10 Straight Lines through Origin Equations More
  499.    wt: 1:   9 Straight Lines through Origin Equations
  500.    wt: 1:   7 Tangent Function is odd on this domain
  501.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  502.    wt: 1:   5 Tangent Function Graph
  503.    wt: 1:   4 Tangent Function Properties
  504.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  505.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  506.    wt: 1:   1 Straight Lines Slope Concept
  507.    wt: 1:   17 tangent function angle sum formulas
  508.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  509.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  510.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  511.    wt: 1:   27 Logarithmic use of products of sines and cosines
  512.    wt: 1:   25 tangent double angle formula Slope connection
  513.    wt: 1:   24 tangent Angle Difference Formula
  514.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  515.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  516.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  517.    wt: 1:   12 Graph of tangent function for one period
  518.    wt: 1:   10 Graphs of sines and cosines many periods
  519.    wt: 1:   9 Graphs of sine and cosine over one period
  520.    wt: 1:   7 period of sine and cosine
  521.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  522.    wt: 1:   21 Logarithms Powers and Exponentials
  523.    wt: 1:   16 References and Originality Question
  524.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  525.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  526.    wt: 1:   3 Trigonometric Ratios sine and cosine
  527.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  528.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  529.    wt: 1:   8 Similarity of Triangles and Polygons
  530.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  531.    wt: 1:   Four Simple Exercises
  532.    wt: 1:   12 Links Lessons elsewhere
  533.    wt: 1:   11 A Partial Summary
  534.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  535.    wt: 1:   6 Intersection of lines by solving linear systems
  536.    wt: 1:   5 Algebraic View of Slopes
  537.    wt: 1:   12 Spatial Coordinates
  538.    wt: 1:   11 Triangle Inequality
  539.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  540.    wt: 1:   8 Distance Between Points on a Line
  541.    wt: 1:   7 Complex Numbers Appetizer
  542.    wt: 1:   3 Rectangular Coordinates Review
  543.    wt: 1:   2 Cartesian Coordinates with signs
  544.    wt: 1:   1 Cartesian Coordinates sans signs
  545.    wt: 1:   PS H Distributive Law For Complex Numbers
  546.    wt: 1:   16 Angles Subtended By Chords and Diameters
  547.    wt: 1:   6 Ruler and compass Angle Bisection
  548.    wt: 1:   1 Initial Concepts and Terms
  549.    wt: 1:   A Modular and Remainder Arithmetic
  550.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  551.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  552.    wt: 1:   13 Arrows and Vectors in a Plane
  553.    wt: 1:   11 Signed Number Addition and Addition Properties
  554.    wt: 1:   8 Division and Mulplication of Compound Fractions
  555.    wt: 1:   E Long Division Methods more
  556.    wt: 1:   D Long Division Methods
  557.    wt: 1:   C Three Decimal Subtraction Methods
  558.    wt: 1:   A Decimal Addition Columm Methods
  559.    wt: 1:   8 Column Multiplication Methods in General
  560.    wt: 1:   7 Decimals Multiplication Methods Examples
  561.    wt: 1:   3 Multiplicative Counting Skills Principles
  562.    wt: 1:   1 The Counting Origins of Numbers
  563.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  564.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  565.    wt: 1:   3 Linear Equation Literal Solution More
  566.    wt: 1:   2 Linear Equation Literal Solution
  567.    wt: 1:   1 Changing Calculations
  568.    wt: 1:   5 Equality in Algebra
  569.    wt: 1:   1 Equivalent Computation Rules
  570.    wt: 1:   5 Greater More Less Than Signs in General
  571.    wt: 1:   4 Comparison of Negative Numbers
  572.    wt: 1:   1 Real Numbers Comparison
  573.    wt: 1:   10 Real Number Lengths and Signs
  574.    wt: 1:   9 Coordinates for Regions in Space
  575.    wt: 1:   1 Whole and Natural Numbers
  576.    wt: 1:   5 Independent versus Dependent Variables
  577.    wt: 1:   4 Changing Letters
  578.    wt: 1:   2 Computation Rules Evaluation
  579.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  580.    wt: 1:   3 GE III Equation Addition and Multiplication
  581.    wt: 1:   6 Algebraic Solution Example
  582.    wt: 1:   5 Algebraic Solutions Introduction
  583.    wt: 1:   4 Four Examples Fractional Coefficients
  584.    wt: 1:   3 Four Examples
  585.    wt: 1:   2 Three Examples
  586.    wt: 1:   1 Proper Equal Sign Usage
  587.    wt: 1:   Skill Development Notes
  588.    wt: 1:   10 One Example
  589.    wt: 1:   9 Three Examples
  590.    wt: 1:   8 One Example
  591.    wt: 1:   7 Two Examples
  592.    wt: 1:   6 Three Examples
  593.    wt: 1:   5 Three Examples
  594.    wt: 1:   4 Two Examples
  595.    wt: 1:   3 Two Examples
  596.    wt: 1:   2 Three Examples
  597.    wt: 1:   Using Letters for Physical Quantities
  598.    wt: 1:   9 Sets in Probability and Statistics
  599.    wt: 1:   5 Talking about Numbers and Quantities
  600.    wt: 1:   4 A Brief Story of numbers and algebra
  601.    wt: 1:   1 Three Skills For Algebra
  602.    wt: 1:   10 dividing signed numbers
  603.    wt: 1:   9 subtracting signed numbers
  604.    wt: 1:   8 multiplying signed numbers
  605.    wt: 1:   6 adding signed numbers
  606.    wt: 1:   D Remainders Modulo 11 Pair Rule
  607.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  608.    wt: 1:   B Integer Long Division Multiple Choices
  609.    wt: 1:   A Associative Law Theorectical Note
  610.    wt: 1:   13 Subtraction with Additive Inverse
  611.    wt: 1:   12 Adding Integers More Examples
  612.    wt: 1:   9 Multiplying Integers
  613.    wt: 1:   8 Multiplication by Signed Numbers Integers
  614.    wt: 1:   7 Multiplication by Signs
  615.    wt: 1:   6 Multiplication by Natural Numbers
  616.    wt: 1:   4 Adding Movements wiht opposite directions
  617.    wt: 1:   3 Adding Movements with same direction
  618.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  619.    wt: 1:   1 Integers as Coordinates
  620.    wt: 1:   20 Uniqueness of Prime Factorization
  621.    wt: 1:   19 video Prime Factorization Unique
  622.    wt: 1:   18 video Count Factors given Prime Factorization
  623.    wt: 1:   16 video Factors of 980 using prime
  624.    wt: 1:   15 video Factors of 20 using Prime Factorization
  625.    wt: 1:   14 video Factors of 24 Take II
  626.    wt: 1:   13 video Factors of 24 using prime
  627.    wt: 1:   11 Efficient Square Rule Use
  628.    wt: 1:   10 video Prime Factorization upto 23 squared
  629.    wt: 1:   9 video Prime Factorization upto 19 squared
  630.    wt: 1:   8 video Prime Factorization upto 19
  631.    wt: 1:   4 video Prime Factorization Introduction
  632.    wt: 1:   1 video how Products are bigger than factor
  633.    wt: 1:   Long Division Backwards more
  634.    wt: 1:   Long Division Backward
  635.    wt: 1:   12 Why Long Division Works Take III
  636.    wt: 1:   11 Another Single Digit Divisor Example
  637.    wt: 1:   9 Why Long Division Works Take II
  638.    wt: 1:   8 Correcting the Mistake
  639.    wt: 1:   7 Long Divison Mistake Catching
  640.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  641.    wt: 1:   5 Long Division Include Zeroes or not
  642.    wt: 1:   4 Division with 2 Digit Divsors
  643.    wt: 1:   3 Division Single Digit Divisor Example
  644.    wt: 1:   2 Division with Single Digit Divisors
  645.    wt: 1:   1 Divsion Physical Examples
  646.    wt: 1:   D Decimal Multiplication Methods Derived
  647.    wt: 1:   C Counting Areas with Powers of Ten
  648.    wt: 1:   B Powers of Ten
  649.    wt: 1:   6 Multiplication Commutes Order Not Important
  650.    wt: 1:   5 Decimal Fraction Multiplication
  651.    wt: 1:   3 More One Digit Multipliers
  652.    wt: 1:   2 One Digit Multipliers
  653.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  654.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  655.    wt: 1:   Video Power Notation in Decimal Expansion
  656.    wt: 1:   1 Why 3 times 5 gives 15
  657.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  658.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  659.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  660.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  661.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  662.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  663.    wt: 1:   Expression Evaluation how to show work
  664.    wt: 1:   The 20 Times Table
  665.    wt: 1:   The 12 Times Table Visually
  666.    wt: 1:   About folder contents
  667.    wt: 1:   015 School and work day counting tables
  668.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  669.    wt: 1:   4 Mixing and Changing Units of Time
  670.    wt: 1:   3 Units and Lengths of Time
  671.    wt: 1:   2 Time and Date Matters in School
  672.    wt: 1:   Example 2 volume of a cone
  673.    wt: 1:   Example 1 volume of a pyramid
  674.    wt: 1:   Volume of Solid by Cross Sections Lesson
  675.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  676.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  677.    wt: 1:   Example 4 with x function of y
  678.    wt: 1:   Example 3
  679.    wt: 1:   Example 2
  680.    wt: 1:   Example 1
  681.    wt: 1:   Area Between Curves Lesson Take 2
  682.    wt: 1:   Area Between Curves Lesson Take 1
  683.    wt: 1:   Summary
  684.    wt: 1:   28 Chain Rule Preparation for a Proof
  685.    wt: 1:   22 Chain Rule for polynomials
  686.    wt: 1:   21 Chain Rule for powers
  687.    wt: 1:   20 Chain Rule for Pulley Systems
  688.    wt: 1:   19 Chain Rule for linear functions
  689.    wt: 1:   17 Derivatives of quotients of sine and cosine
  690.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  691.    wt: 1:   15 sine and cosine derivatives 3rd step
  692.    wt: 1:   14 sine and cosine derivatives 2nd step
  693.    wt: 1:   13 sine and cosine derivatives 1st step
  694.    wt: 1:   10 Power rule for negative integers
  695.    wt: 1:   3 Motivation for Limit Definition Take 2
  696.    wt: 1:   2 Motivation for Limit Definition Take 1
  697.    wt: 1:   11 Limits at infinity Three Examples
  698.    wt: 1:   10 Three one sided limits with infinite values
  699.    wt: 1:   8 Four Animated Examples
  700.    wt: 1:   7 Evaluation by immediate or delayed substitution
  701.    wt: 1:   6 Continuity at a point
  702.    wt: 1:   4 Numerical properties
  703.    wt: 1:   2 Algebraic codification
  704.    wt: 1:   1 Numerical introduction
  705.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  706.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  707.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  708.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  709.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  710.    wt: 1:   Chapter 12. Units and Slopes
  711.    wt: 1:   Chapter 10 Slopes and Units
  712.    wt: 1:   Chapter 7 Slopes and Velocity
  713.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  714.    wt: 1:   Chapter 2. Slopes and Ski Trails
  715.    wt: 1:   Foreword
  716.    wt: 1:   Appendix C. How to Read
  717.    wt: 1:   Appendix B. How To Learn
  718.    wt: 1:   Chapter 30 Truth Tables
  719.    wt: 1:   Chapter 28 Occurrence Tables
  720.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  721.    wt: 1:   Chapter 25. Mathematical Induction Examples
  722.    wt: 1:   Chapter 25. Mathematical Induction Examples
  723.    wt: 1:   Chapter 21. Third Reading Guide
  724.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  725.    wt: 1:   Chapter 16. Painless Theorem Proving
  726.    wt: 1:   Chapter 15. Solving Linear Equations
  727.    wt: 1:   Chapter 13. Second Reading Guide
  728.    wt: 1:   Postscript What is a Variable
  729.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  730.    wt: 1:   Chapter 6 Change of Language
  731.    wt: 1:   Chapter 4 Longer Chains of Reason
  732.    wt: 1:   Chapter 3 Chains of Reason
  733.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  734.    wt: 1:   Annotated Links to Material Elsehwere
  735.    wt: 1:   Postscript A Three Remarks
  736.    wt: 1:   Chapter 12 Four Phases
  737.    wt: 1:   Chapter 11 Elementary Instruction
  738.    wt: 1:   Chapter 10 Transition
  739.    wt: 1:   Chapter 9 The Two Ends
  740.    wt: 1:   Chapter 8 Modern Instruction
  741.    wt: 1:   Chapter 7 Two Treatments of Geometry
  742.    wt: 1:   Chapter 5 Four References
  743.    wt: 1:   Chapter 3 Algebra Difficulties
  744.    wt: 1:   Chapter 1 Introduction
  745.    wt: 1:   Postscript C Consistency as a Tool for Reason
  746.    wt: 1:   Postscript B More on Story Telling and Reason
  747.    wt: 1:   Chapter 24 Direct and Indirect Reason
  748.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  749.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  750.    wt: 1:   Chapter 18 Sense and Knowledge
  751.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  752.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  753.    wt: 1:   Foreword
  754.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  755.    wt: 1:   S Adding words to algebra
  756.    wt: 1:   M Words to extend arithmetic
  757.    wt: 1:   L Skills with take home value
  758.    wt: 1:   H more Routine to non routine problem solving
  759.    wt: 1:   F. The student teacher tutor feedback loop
  760.    wt: 1:   D. Check work a must with a caution
  761.    wt: 1:   C. Domino effect of being careful
  762.    wt: 1:   B. Domino effect of errors
  763.    wt: 1:   A. Skill has to be seen to believed
  764.    wt: 1:   Implementation Notes
  765.    wt: 1:   Systematic Algebra Skill Development Missing Links
  766.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  767.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  768.    wt: 1:   Which Way To Go

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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.

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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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