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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50 matches:

  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   A Origins of Counting and Figuring Methods/
  4.    wt: 2:   9 Proportionality Backwards and Forwards/
  5.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  6.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  7.    wt: 2:   4 Computation Rules and Function Notation/
  8.    wt: 2:   Step 1 Stick diagram and fractions/
  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:   B Decimal Comparing and Subtracting Methods/
  17.    wt: 2:   A Decimal Counting and Adding 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:   B Real Numbers Extrinsic Development/
  28.    wt: 1:   10 Examples of Algebraic Reasoning/
  29.    wt: 1:   8 Unifying Theme For Algebra/
  30.    wt: 1:   5 Real Numbers/
  31.    wt: 1:   Step 4 Gaussian Elimination/
  32.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  33.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  34.    wt: 1:   3 Solving Linear Equations/
  35.    wt: 1:   2 Formula Forward Use Evaluation/
  36.    wt: 1:   1 Working With Sets/
  37.    wt: 1:   Algebra Starter Lessons/
  38.    wt: 1:   8 Arithmetic with Signed Numbers/
  39.    wt: 1:   5 Integers/
  40.    wt: 1:   3 Prime Factorization Skills/
  41.    wt: 1:   D Decimal Long Division Methods/
  42.    wt: 1:   C Decimal Multiplication Methods/
  43.    wt: 1:   2 Arithmetic with Decimals/
  44.    wt: 1:   1 Decimal Place Value/
  45.    wt: 1:   Arithmetic and Number Theory Skills/
  46.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  47.    wt: 1:   13 Lessons on Limits and Continuity/
  48.    wt: 1:   Work and Study Tips/
  49.    wt: 1:   Resources and Reciprocal Links/
  50.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

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298 matches:

  1.    wt: 3:   The Math Forum and Site Content
  2.    wt: 2:   Education in mathematics science and technology
  3.    wt: 2:   11 Help and Defend Your Child or Teens Education
  4.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  5.    wt: 2:   14 cosine even and sine and tangent are odd
  6.    wt: 2:   3 Lengths and Areas on Maps and Plans
  7.    wt: 2:   2 More and Less Than for Counts and Measures
  8.    wt: 2:   1 More and Less Than for Counts and Measures
  9.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  10.    wt: 2:   3 video Primes and Composites from 9 times table
  11.    wt: 2:   2 Prime and Composites less than 16
  12.    wt: 2:   6. Counting and adding units and mixed units
  13.    wt: 2:   Quick history of numbers and algebra
  14.    wt: 2:   38 Formulas and derivatives for powers and roots
  15.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  16.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  17.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  18.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  19.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  20.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  21.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  22.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  23.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  24.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  25.    wt: 1:   Appendix 1 primary and preschool mathematic
  26.    wt: 1:   K LAMP Musings Science Education
  27.    wt: 1:   F LAMP Introduction Prerequisites
  28.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  29.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  30.    wt: 1:   7 logic review and decimals an odd combination
  31.    wt: 1:   5 logarithms and exponentials etc
  32.    wt: 1:   website reviews
  33.    wt: 1:   links Education Resources online
  34.    wt: 1:   site origins
  35.    wt: 1:   site eurekas
  36.    wt: 1:   About site lesson plans
  37.    wt: 1:   key notes and themes
  38.    wt: 1:   Mathematics Education Professors
  39.    wt: 1:   modern education
  40.    wt: 1:   what should be learnt and When
  41.    wt: 1:   Education Reform Inconsistencies
  42.    wt: 1:   three goals for Mathematics Education
  43.    wt: 1:   05 13 OldSiteEntrancePage
  44.    wt: 1:   02 20 mathematics education references
  45.    wt: 1:   standards for course material
  46.    wt: 1:   Four ways to improve education reform
  47.    wt: 1:   Motivation and Context Problem
  48.    wt: 1:   education an empirical art
  49.    wt: 1:   fairness and inductive principles for instruction
  50.    wt: 1:   Home Tutoring and Home Schooling
  51.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  52.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  53.    wt: 1:   24 Standards For Skill Develoment Take II
  54.    wt: 1:   24 Standards For Skill Develoment
  55.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  56.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  57.    wt: 1:   17 Math Booklets for children and young teenagers
  58.    wt: 1:   14 Multiplication and Times Tables
  59.    wt: 1:   13 Addition and Addition Tables
  60.    wt: 1:   12 Goals and Objectives For Mathematics
  61.    wt: 1:   5 Patience Please for Yourself and Your Charges
  62.    wt: 1:   4 Learning Takes Time and Effort
  63.    wt: 1:   2 Reading and Writing Skills
  64.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  65.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  66.    wt: 1:   26 Function definitions done and coming
  67.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  68.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  69.    wt: 1:   19 Horizontal line rule and method
  70.    wt: 1:   18 Vertical Line Rule and Method
  71.    wt: 1:   17 Function maxima minima and their location
  72.    wt: 1:   11 Function Domain Range Source and Targets
  73.    wt: 1:   8 Set view of relations and functions
  74.    wt: 1:   6 Set Existence Formation and Notation
  75.    wt: 1:   4 Function notation in and beyond mathematics
  76.    wt: 1:   9 quadratics physical and further context
  77.    wt: 1:   11 Growth and Decay in Biology
  78.    wt: 1:   10 Exponential Growth and Decay Models
  79.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  80.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  81.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  82.    wt: 1:   16 cotangent function Definition Graph and Inverse
  83.    wt: 1:   15 cosecant function Definition Graph and Inverse
  84.    wt: 1:   14 secant function Definition Graph and Inverse
  85.    wt: 1:   13 cosecant function Definition Graph and Inverse
  86.    wt: 1:   9 Summary Degrees to Radians and back
  87.    wt: 1:   1 Degrees and Radians Introduction
  88.    wt: 1:   A Global Time and Navigation
  89.    wt: 1:   15 Dot and Cross Product
  90.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  91.    wt: 1:   Vector and Complex Number Applet
  92.    wt: 1:   Parallel Lines and Parallel Transversals
  93.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  94.    wt: 1:   Parallel Lines and Interior Angles
  95.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  96.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  97.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  98.    wt: 1:   29 secant cosecant and cotangent for acute angles
  99.    wt: 1:   27 Logarithmic use of products of sines and cosines
  100.    wt: 1:   26 Formulas for products of sines and cosines
  101.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  102.    wt: 1:   21 sine and cosine Half Angle Formulas
  103.    wt: 1:   20 sine and cosine Double Angle Formulas
  104.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  105.    wt: 1:   17E Trig Formulas for dot and cross Products
  106.    wt: 1:   17D cis formulas for sine cosines and tangent
  107.    wt: 1:   17C sine and cosine double triple angle formulas
  108.    wt: 1:   10 Graphs of sines and cosines many periods
  109.    wt: 1:   9 Graphs of sine and cosine over one period
  110.    wt: 1:   7 period of sine and cosine
  111.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  112.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  113.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  114.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  115.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  116.    wt: 1:   21 Logarithms Powers and Exponentials
  117.    wt: 1:   16 References and Originality Question
  118.    wt: 1:   13 Trig Formulas for dot and cross Products
  119.    wt: 1:   12 cis formulas for sine cosines and tangent
  120.    wt: 1:   11 sine and cosine double triple angle formulas
  121.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  122.    wt: 1:   3 Trigonometric Ratios sine and cosine
  123.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  124.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  125.    wt: 1:   8 Similarity of Triangles and Polygons
  126.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  127.    wt: 1:   10 Midpoint of [a b] and [b a]
  128.    wt: 1:   7 Exercises to test skill and concept mastery
  129.    wt: 1:   1 Numerical view of lines and their equations
  130.    wt: 1:   What is and is not here
  131.    wt: 1:   6 Polar Multiplication and Rotation
  132.    wt: 1:   5 Cartesian Addition and Translation
  133.    wt: 1:   4 Polar Coordinates to and from
  134.    wt: 1:   16 Angles Subtended By Chords and Diameters
  135.    wt: 1:   6 Ruler and compass Angle Bisection
  136.    wt: 1:   1 Initial Concepts and Terms
  137.    wt: 1:   About Folder Contents
  138.    wt: 1:   A Modular and Remainder Arithmetic
  139.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  140.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  141.    wt: 1:   13 Arrows and Vectors in a Plane
  142.    wt: 1:   11 Signed Number Addition and Addition Properties
  143.    wt: 1:   8 Division and Mulplication of Compound Fractions
  144.    wt: 1:   B Decimal Comparison and Subtraction
  145.    wt: 1:   2 Combing Counts Addition Skills and Principles
  146.    wt: 1:   5 Areas of Rectangles Revisited
  147.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  148.    wt: 1:   4 Rates Ratios and Proporitionality
  149.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  150.    wt: 1:   6 Compound Interest Forward and Backwards
  151.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  152.    wt: 1:   6 Equations and Systems Equivalent or Implied
  153.    wt: 1:   4 Subtraction and Division Axioms
  154.    wt: 1:   2 Addition and Multiplication Axioms
  155.    wt: 1:   3 More and Less Than with Unlike Signs
  156.    wt: 1:   10 Real Number Lengths and Signs
  157.    wt: 1:   8 Coordinates for Maps and Planes
  158.    wt: 1:   1 Whole and Natural Numbers
  159.    wt: 1:   3 Geometric Formulas and Function Notation
  160.    wt: 1:   1 Formulas Dependence and Function Notation
  161.    wt: 1:   3 GE III Equation Addition and Multiplication
  162.    wt: 1:   1 Written work formats for developing and showing skill
  163.    wt: 1:   9 Sets in Probability and Statistics
  164.    wt: 1:   5 Talking about Numbers and Quantities
  165.    wt: 1:   4 A Brief Story of numbers and algebra
  166.    wt: 1:   About Folder Contents
  167.    wt: 1:   2 More and Less Than with Unlike Signs
  168.    wt: 1:   1 Squares and Square Roots Introduction
  169.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  170.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  171.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  172.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  173.    wt: 1:   7 GCD and LCM from prime factorization
  174.    wt: 1:   4 LCM of 8 and 10 via Prime
  175.    wt: 1:   3 Counting with Tables and Trees II
  176.    wt: 1:   2 Counting with Tables and Trees I
  177.    wt: 1:   1 Counting and Counting Methods I
  178.    wt: 1:   11 What are real lengths and numbers
  179.    wt: 1:   7 negative and additive inverse
  180.    wt: 1:   5 lengths and signs of numbers
  181.    wt: 1:   3 signed coordinates for maps and planes
  182.    wt: 1:   2 signed and unsigned numbers as coordinates
  183.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  184.    wt: 1:   3 Multiplying Units and Numbers
  185.    wt: 1:   2 Equality and Units
  186.    wt: 1:   1 Addition and Subtraction with Units
  187.    wt: 1:   B Fractions and Two Term Ratios
  188.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  189.    wt: 1:   21 Reciprocals for Fractions and Wholes
  190.    wt: 1:   17 Efficient Ways to Add and Subtract
  191.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  192.    wt: 1:   14 Adding and Subtracting with Like Denominators
  193.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  194.    wt: 1:   9 Improper Fractions and Mixed Numbers
  195.    wt: 1:   11 Adding Integers Formulas and Examples
  196.    wt: 1:   5 Zero Movement and Additive Inverses
  197.    wt: 1:   4 Adding Movements wiht opposite directions
  198.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  199.    wt: 1:   17 Identify and Count Factors using Primes
  200.    wt: 1:   12 LCD GCD and LCM using Primes
  201.    wt: 1:   7 Calculator Usage Notes and Cautions
  202.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  203.    wt: 1:   5 Prime Factorization and a Square Rule
  204.    wt: 1:   Division with Counts and Length
  205.    wt: 1:   Long Division forwards and backwards Example 3
  206.    wt: 1:   Long Division forwards and backwards Example 2
  207.    wt: 1:   Long Division forwards and backwards Example 1
  208.    wt: 1:   10 Division by Five Long and Short Ways
  209.    wt: 1:   4 Two and Three Digit Multipliers
  210.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  211.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  212.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  213.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  214.    wt: 1:   8 What skills and work habits to require
  215.    wt: 1:   11 Place Value SI Standard International way
  216.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  217.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  218.    wt: 1:   Exact Arithmetic Wholes and Fractions
  219.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  220.    wt: 1:   About folder contents
  221.    wt: 1:   015 School and work day counting tables
  222.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  223.    wt: 1:   4 Mixing and Changing Units of Time
  224.    wt: 1:   3 Units and Lengths of Time
  225.    wt: 1:   2 Time and Date Matters in School
  226.    wt: 1:   Example 1. Area Between x and x squared
  227.    wt: 1:   17 Derivatives of quotients of sine and cosine
  228.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  229.    wt: 1:   15 sine and cosine derivatives 3rd step
  230.    wt: 1:   14 sine and cosine derivatives 2nd step
  231.    wt: 1:   13 sine and cosine derivatives 1st step
  232.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  233.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  234.    wt: 1:   9 Limits Continuity and Composition
  235.    wt: 1:   5 Jumps and absence of unlimited error control
  236.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  237.    wt: 1:   PostScript For and Against Decimal Perspectives
  238.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  239.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  240.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  241.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  242.    wt: 1:   Chapter 12. Units and Slopes
  243.    wt: 1:   Chapter 10 Slopes and Units
  244.    wt: 1:   Chapter 7 Slopes and Velocity
  245.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  246.    wt: 1:   Chapter 2. Slopes and Ski Trails
  247.    wt: 1:   Appendix E. How To Study Mathematics and Why
  248.    wt: 1:   Appendix D. What to do in School and Why
  249.    wt: 1:   Chapter 31 Direct and Indirect Reason
  250.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  251.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  252.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  253.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  254.    wt: 1:   Chapter 20. Degrees and Radians
  255.    wt: 1:   Chapter 19. Functions and Sets
  256.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  257.    wt: 1:   Chapter 12. Shorthand Usage Guide
  258.    wt: 1:   Chapter 11. Why Shorthand
  259.    wt: 1:   Chapter 10 Describing and Changing Calculations
  260.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  261.    wt: 1:   Postscript B Mathematics Education References
  262.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  263.    wt: 1:   Chapter 2 For and Against Mathematics
  264.    wt: 1:   Postscript B More on Story Telling and Reason
  265.    wt: 1:   Chapter 24 Direct and Indirect Reason
  266.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  267.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  268.    wt: 1:   Chapter 18 Sense and Knowledge
  269.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  270.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  271.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  272.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  273.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  274.    wt: 1:   O On Learning Mathematics and Science
  275.    wt: 1:   N Improving Marks on Tests and Finals
  276.    wt: 1:   J. More on written work and showing skill
  277.    wt: 1:   I. Logic and language skills
  278.    wt: 1:   H Jigsaw puzzles and problem solving
  279.    wt: 1:   G. Written work formats for developing and showing skill
  280.    wt: 1:   E. When and how to correct errors
  281.    wt: 1:   How to Build Skills and Confidence
  282.    wt: 1:   Chapter 8 Skipped Topics and Why
  283.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  284.    wt: 1:   Chapter 6 More Algebra and Geometry
  285.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  286.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  287.    wt: 1:   7 Games and Activities for Instruction
  288.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  289.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  290.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  291.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  292.    wt: 1:   Helping the Blind in Logic and Mathematics
  293.    wt: 1:   Mathematics Education References
  294.    wt: 1:   Mathematics Education References
  295.    wt: 1:   More Algebra and Slope based Calculus Preview
  296.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  297.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  298.    wt: 1:   Site Reviews

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