Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling. Avid readers in school and out may like Site Volumes.

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons. See Site Map

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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43 matches:

  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 3:   9 Combinatorics Trees Tables and Products/
  3.    wt: 2:   Volume 1A Regles et modeles/
  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:   7 Arithmetic and Fractions with Units/
  8.    wt: 2:   6 Fractions and Ratios/
  9.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  10.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 2:   A Decimal Counting and Adding Methods/
  12.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  13.    wt: 2:   Volume 1 Elements of Reason/
  14.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  15.    wt: 1:   12 Function Translating and Rescaling/
  16.    wt: 1:   11 Parallel Straight Lines and Transversals/
  17.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  18.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  19.    wt: 1:   4 Lines and Slopes Take 1/
  20.    wt: 1:   3 Cartesian and Polar Coordinates/
  21.    wt: 1:   A Origins of Counting and Figuring Methods/
  22.    wt: 1:   10 Examples of Algebraic Reasoning/
  23.    wt: 1:   9 Proportionality Backwards and Forwards/
  24.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  25.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  26.    wt: 1:   4 Computation Rules and Function Notation/
  27.    wt: 1:   Step 1 Stick diagram and fractions/
  28.    wt: 1:   8 Arithmetic with Signed Numbers/
  29.    wt: 1:   5 Integers/
  30.    wt: 1:   3 Prime Factorization Skills/
  31.    wt: 1:   D Decimal Long Division Methods/
  32.    wt: 1:   C Decimal Multiplication Methods/
  33.    wt: 1:   2 Arithmetic with Decimals/
  34.    wt: 1:   1 Decimal Place Value/
  35.    wt: 1:   Arithmetic and Number Theory Skills/
  36.    wt: 1:   13 Lessons on Limits and Continuity/
  37.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  38.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  39.    wt: 1:   Volume 2 Three Skills For Algebra/
  40.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  41.    wt: 1:   Work and Study Tips/
  42.    wt: 1:   Resources and Reciprocal Links/
  43.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

298 matches:

  1.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  2.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  3.    wt: 2:   14 Multiplication and Times Tables
  4.    wt: 2:   13 Addition and Addition Tables
  5.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  6.    wt: 2:   14 cosine even and sine and tangent are odd
  7.    wt: 2:   3 Lengths and Areas on Maps and Plans
  8.    wt: 2:   2 More and Less Than for Counts and Measures
  9.    wt: 2:   1 More and Less Than for Counts and Measures
  10.    wt: 2:   3 Counting with Tables and Trees II
  11.    wt: 2:   2 Counting with Tables and Trees I
  12.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  13.    wt: 2:   6. Counting and adding units and mixed units
  14.    wt: 2:   015 School and work day counting tables
  15.    wt: 2:   38 Formulas and derivatives for powers and roots
  16.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  17.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  18.    wt: 2:   Chapter 31 Direct and Indirect Reason
  19.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  20.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  21.    wt: 2:   Postscript B More on Story Telling and Reason
  22.    wt: 2:   Chapter 24 Direct and Indirect Reason
  23.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  24.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  25.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  26.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  27.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  28.    wt: 2:   More Algebra and Slope based Calculus Preview
  29.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  30.    wt: 1:   Appendix 1 primary and preschool mathematic
  31.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  32.    wt: 1:   7 logic review and decimals an odd combination
  33.    wt: 1:   5 logarithms and exponentials etc
  34.    wt: 1:   key notes and themes
  35.    wt: 1:   what should be learnt and When
  36.    wt: 1:   teaching tutoring algebraic reason
  37.    wt: 1:   standards for course material
  38.    wt: 1:   Education in mathematics science and technology
  39.    wt: 1:   Different Kinds of Reasoning in maths
  40.    wt: 1:   three kinds of reason in mathematics
  41.    wt: 1:   Motivation and Context Problem
  42.    wt: 1:   fairness and inductive principles for instruction
  43.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  44.    wt: 1:   Home Tutoring and Home Schooling
  45.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  46.    wt: 1:   24 Standards For Skill Develoment Take II
  47.    wt: 1:   24 Standards For Skill Develoment
  48.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  49.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  50.    wt: 1:   17 Math Booklets for children and young teenagers
  51.    wt: 1:   12 Goals and Objectives For Mathematics
  52.    wt: 1:   11 Help and Defend Your Child or Teens Education
  53.    wt: 1:   5 Patience Please for Yourself and Your Charges
  54.    wt: 1:   4 Learning Takes Time and Effort
  55.    wt: 1:   2 Reading and Writing Skills
  56.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  57.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  58.    wt: 1:   26 Function definitions done and coming
  59.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  60.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  61.    wt: 1:   19 Horizontal line rule and method
  62.    wt: 1:   18 Vertical Line Rule and Method
  63.    wt: 1:   17 Function maxima minima and their location
  64.    wt: 1:   11 Function Domain Range Source and Targets
  65.    wt: 1:   8 Set view of relations and functions
  66.    wt: 1:   6 Set Existence Formation and Notation
  67.    wt: 1:   4 Function notation in and beyond mathematics
  68.    wt: 1:   9 quadratics physical and further context
  69.    wt: 1:   11 Growth and Decay in Biology
  70.    wt: 1:   10 Exponential Growth and Decay Models
  71.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  72.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  73.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  74.    wt: 1:   16 cotangent function Definition Graph and Inverse
  75.    wt: 1:   15 cosecant function Definition Graph and Inverse
  76.    wt: 1:   14 secant function Definition Graph and Inverse
  77.    wt: 1:   13 cosecant function Definition Graph and Inverse
  78.    wt: 1:   9 Summary Degrees to Radians and back
  79.    wt: 1:   1 Degrees and Radians Introduction
  80.    wt: 1:   A Global Time and Navigation
  81.    wt: 1:   15 Dot and Cross Product
  82.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  83.    wt: 1:   Vector and Complex Number Applet
  84.    wt: 1:   Parallel Lines and Parallel Transversals
  85.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  86.    wt: 1:   Parallel Lines and Interior Angles
  87.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  88.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  89.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  90.    wt: 1:   29 secant cosecant and cotangent for acute angles
  91.    wt: 1:   27 Logarithmic use of products of sines and cosines
  92.    wt: 1:   26 Formulas for products of sines and cosines
  93.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  94.    wt: 1:   21 sine and cosine Half Angle Formulas
  95.    wt: 1:   20 sine and cosine Double Angle Formulas
  96.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  97.    wt: 1:   17E Trig Formulas for dot and cross Products
  98.    wt: 1:   17D cis formulas for sine cosines and tangent
  99.    wt: 1:   17C sine and cosine double triple angle formulas
  100.    wt: 1:   10 Graphs of sines and cosines many periods
  101.    wt: 1:   9 Graphs of sine and cosine over one period
  102.    wt: 1:   7 period of sine and cosine
  103.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  104.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  105.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  106.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  107.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  108.    wt: 1:   21 Logarithms Powers and Exponentials
  109.    wt: 1:   16 References and Originality Question
  110.    wt: 1:   13 Trig Formulas for dot and cross Products
  111.    wt: 1:   12 cis formulas for sine cosines and tangent
  112.    wt: 1:   11 sine and cosine double triple angle formulas
  113.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  114.    wt: 1:   3 Trigonometric Ratios sine and cosine
  115.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  116.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  117.    wt: 1:   8 Similarity of Triangles and Polygons
  118.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  119.    wt: 1:   10 Midpoint of [a b] and [b a]
  120.    wt: 1:   7 Exercises to test skill and concept mastery
  121.    wt: 1:   1 Numerical view of lines and their equations
  122.    wt: 1:   What is and is not here
  123.    wt: 1:   6 Polar Multiplication and Rotation
  124.    wt: 1:   5 Cartesian Addition and Translation
  125.    wt: 1:   4 Polar Coordinates to and from
  126.    wt: 1:   16 Angles Subtended By Chords and Diameters
  127.    wt: 1:   6 Ruler and compass Angle Bisection
  128.    wt: 1:   1 Initial Concepts and Terms
  129.    wt: 1:   A Modular and Remainder Arithmetic
  130.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  131.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  132.    wt: 1:   13 Arrows and Vectors in a Plane
  133.    wt: 1:   11 Signed Number Addition and Addition Properties
  134.    wt: 1:   8 Division and Mulplication of Compound Fractions
  135.    wt: 1:   B Decimal Comparison and Subtraction
  136.    wt: 1:   2 Combing Counts Addition Skills and Principles
  137.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  138.    wt: 1:   4 Rates Ratios and Proporitionality
  139.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  140.    wt: 1:   6 Compound Interest Forward and Backwards
  141.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  142.    wt: 1:   6 Equations and Systems Equivalent or Implied
  143.    wt: 1:   4 Subtraction and Division Axioms
  144.    wt: 1:   2 Addition and Multiplication Axioms
  145.    wt: 1:   3 More and Less Than with Unlike Signs
  146.    wt: 1:   10 Real Number Lengths and Signs
  147.    wt: 1:   8 Coordinates for Maps and Planes
  148.    wt: 1:   1 Whole and Natural Numbers
  149.    wt: 1:   3 Geometric Formulas and Function Notation
  150.    wt: 1:   1 Formulas Dependence and Function Notation
  151.    wt: 1:   3 GE III Equation Addition and Multiplication
  152.    wt: 1:   11 Volume of Sphere
  153.    wt: 1:   10 Volume of Pyramid
  154.    wt: 1:   9 Volume of Cone
  155.    wt: 1:   5 Box Volume Formula Example
  156.    wt: 1:   1 Written work formats for developing and showing skill
  157.    wt: 1:   9 Sets in Probability and Statistics
  158.    wt: 1:   5 Talking about Numbers and Quantities
  159.    wt: 1:   4 A Brief Story of numbers and algebra
  160.    wt: 1:   2 More and Less Than with Unlike Signs
  161.    wt: 1:   1 Squares and Square Roots Introduction
  162.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  163.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  164.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  165.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  166.    wt: 1:   7 GCD and LCM from prime factorization
  167.    wt: 1:   4 LCM of 8 and 10 via Prime
  168.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  169.    wt: 1:   1 Counting and Counting Methods I
  170.    wt: 1:   11 What are real lengths and numbers
  171.    wt: 1:   7 negative and additive inverse
  172.    wt: 1:   5 lengths and signs of numbers
  173.    wt: 1:   3 signed coordinates for maps and planes
  174.    wt: 1:   2 signed and unsigned numbers as coordinates
  175.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  176.    wt: 1:   3 Multiplying Units and Numbers
  177.    wt: 1:   2 Equality and Units
  178.    wt: 1:   1 Addition and Subtraction with Units
  179.    wt: 1:   B Fractions and Two Term Ratios
  180.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  181.    wt: 1:   21 Reciprocals for Fractions and Wholes
  182.    wt: 1:   17 Efficient Ways to Add and Subtract
  183.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  184.    wt: 1:   14 Adding and Subtracting with Like Denominators
  185.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  186.    wt: 1:   9 Improper Fractions and Mixed Numbers
  187.    wt: 1:   11 Adding Integers Formulas and Examples
  188.    wt: 1:   5 Zero Movement and Additive Inverses
  189.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  190.    wt: 1:   17 Identify and Count Factors using Primes
  191.    wt: 1:   12 LCD GCD and LCM using Primes
  192.    wt: 1:   7 Calculator Usage Notes and Cautions
  193.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  194.    wt: 1:   5 Prime Factorization and a Square Rule
  195.    wt: 1:   3 video Primes and Composites from 9 times table
  196.    wt: 1:   2 Prime and Composites less than 16
  197.    wt: 1:   Division with Counts and Length
  198.    wt: 1:   Long Division forwards and backwards Example 3
  199.    wt: 1:   Long Division forwards and backwards Example 2
  200.    wt: 1:   Long Division forwards and backwards Example 1
  201.    wt: 1:   10 Division by Five Long and Short Ways
  202.    wt: 1:   4 Two and Three Digit Multipliers
  203.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  204.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  205.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  206.    wt: 1:   8 What skills and work habits to require
  207.    wt: 1:   11 Place Value SI Standard International way
  208.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  209.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  210.    wt: 1:   Quick history of numbers and algebra
  211.    wt: 1:   Exact Arithmetic Wholes and Fractions
  212.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  213.    wt: 1:   013 Travel Time Tables
  214.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  215.    wt: 1:   4 Mixing and Changing Units of Time
  216.    wt: 1:   3 Units and Lengths of Time
  217.    wt: 1:   2 Time and Date Matters in School
  218.    wt: 1:   Example 2 volume of a cone
  219.    wt: 1:   Example 1 volume of a pyramid
  220.    wt: 1:   Volume of Solid by Cross Sections Lesson
  221.    wt: 1:   Example 1. Area Between x and x squared
  222.    wt: 1:   A Related Material in Volume 3
  223.    wt: 1:   A Related lessons in Volume 3
  224.    wt: 1:   17 Derivatives of quotients of sine and cosine
  225.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  226.    wt: 1:   15 sine and cosine derivatives 3rd step
  227.    wt: 1:   14 sine and cosine derivatives 2nd step
  228.    wt: 1:   13 sine and cosine derivatives 1st step
  229.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  230.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  231.    wt: 1:   9 Limits Continuity and Composition
  232.    wt: 1:   5 Jumps and absence of unlimited error control
  233.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  234.    wt: 1:   PostScript For and Against Decimal Perspectives
  235.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  236.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  237.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  238.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  239.    wt: 1:   Chapter 12. Units and Slopes
  240.    wt: 1:   Chapter 10 Slopes and Units
  241.    wt: 1:   Chapter 7 Slopes and Velocity
  242.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  243.    wt: 1:   Chapter 2. Slopes and Ski Trails
  244.    wt: 1:   Appendix E. How To Study Mathematics and Why
  245.    wt: 1:   Appendix D. What to do in School and Why
  246.    wt: 1:   Chapter 30 Truth Tables
  247.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  248.    wt: 1:   Chapter 28 Occurrence Tables
  249.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  250.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  251.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  252.    wt: 1:   Chapter 20. Degrees and Radians
  253.    wt: 1:   Chapter 19. Functions and Sets
  254.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  255.    wt: 1:   Chapter 12. Shorthand Usage Guide
  256.    wt: 1:   Chapter 11. Why Shorthand
  257.    wt: 1:   Chapter 10 Describing and Changing Calculations
  258.    wt: 1:   Chapter 4 Longer Chains of Reason
  259.    wt: 1:   Chapter 3 Chains of Reason
  260.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  261.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  262.    wt: 1:   Chapter 2 For and Against Mathematics
  263.    wt: 1:   Postscript C Consistency as a Tool for Reason
  264.    wt: 1:   Chapter 23 Truth Tables
  265.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  266.    wt: 1:   Chapter 21 Occurrence Tables
  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 13 Geometric Thinking Euclidean Model For Reason
  272.    wt: 1:   Chapter 11 Accidental Patterns
  273.    wt: 1:   Chapter 7 Longer Chains of Reason
  274.    wt: 1:   Chapter 6 Chains of Reason
  275.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  276.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  277.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  278.    wt: 1:   O On Learning Mathematics and Science
  279.    wt: 1:   N Improving Marks on Tests and Finals
  280.    wt: 1:   J. More on written work and showing skill
  281.    wt: 1:   I. Logic and language skills
  282.    wt: 1:   H Jigsaw puzzles and problem solving
  283.    wt: 1:   G. Written work formats for developing and showing skill
  284.    wt: 1:   E. When and how to correct errors
  285.    wt: 1:   How to Build Skills and Confidence
  286.    wt: 1:   Chapter 8 Skipped Topics and Why
  287.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  288.    wt: 1:   Chapter 6 More Algebra and Geometry
  289.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  290.    wt: 1:   7 Games and Activities for Instruction
  291.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  292.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  293.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  294.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  295.    wt: 1:   Helping the Blind in Logic and Mathematics
  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:   The Math Forum and Site Content

Extended Search

689 matches:

  1.    wt: 9:   Chapter 16 Origins and Limitations of Rules and Patterns
  2.    wt: 8:   Postscript B More on Story Telling and Reason
  3.    wt: 8:   Chapter 24 Direct and Indirect Reason
  4.    wt: 8:   Chapter 12 Islands and Divisions of Knowledge
  5.    wt: 7:   Postscript C Consistency as a Tool for Reason
  6.    wt: 7:   Chapter 23 Truth Tables
  7.    wt: 7:   Chapter 22 Contrapositive and Vacuously True Implications
  8.    wt: 7:   Chapter 21 Occurrence Tables
  9.    wt: 7:   Chapter 20 Shorthand Symbols as Pronouns
  10.    wt: 7:   Chapter 18 Sense and Knowledge
  11.    wt: 7:   Chapter 17 Objective Ways Trial and Error Discovery
  12.    wt: 7:   Chapter 14 Deductive and Empirical Views of Mathematics
  13.    wt: 7:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  14.    wt: 7:   Chapter 11 Accidental Patterns
  15.    wt: 7:   Chapter 7 Longer Chains of Reason
  16.    wt: 7:   Chapter 6 Chains of Reason
  17.    wt: 7:   Chapter 4 Implication Rules Forwards and Backwards
  18.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  19.    wt: 6:   Postscript A Story Telling
  20.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  21.    wt: 6:   Chapter 15 Objective Processes
  22.    wt: 6:   Chapter 10 Responsibility
  23.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  24.    wt: 6:   Chapter 8 Change of Language
  25.    wt: 6:   Chapter 5 Deception
  26.    wt: 6:   Chapter 3 What is in chapters 4 to 8
  27.    wt: 6:   Chapter 2 Skill Development
  28.    wt: 6:   Chapter 1 Introduction
  29.    wt: 6:   Three Remarks
  30.    wt: 6:   Foreword
  31.    wt: 5:   3 Counting with Tables and Trees II
  32.    wt: 5:   2 Counting with Tables and Trees I
  33.    wt: 4:   1 More and Less Than for Counts and Measures
  34.    wt: 4:   5 Counting with Tables Trees Product Rule Take II
  35.    wt: 4:   1 Counting and Counting Methods I
  36.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  37.    wt: 4:   6. Counting and adding units and mixed units
  38.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  39.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  40.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  41.    wt: 3:   2 More and Less Than for Counts and Measures
  42.    wt: 3:   2 More and Less Than with Unlike Signs
  43.    wt: 3:   1 Squares and Square Roots Introduction
  44.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  45.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  46.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  47.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  48.    wt: 3:   7 GCD and LCM from prime factorization
  49.    wt: 3:   4 LCM of 8 and 10 via Prime
  50.    wt: 3:   4 Counting with Trees Product Rule Take I
  51.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  52.    wt: 3:   3 Multiplying Units and Numbers
  53.    wt: 3:   2 Equality and Units
  54.    wt: 3:   1 Addition and Subtraction with Units
  55.    wt: 3:   B Fractions and Two Term Ratios
  56.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  57.    wt: 3:   21 Reciprocals for Fractions and Wholes
  58.    wt: 3:   17 Efficient Ways to Add and Subtract
  59.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  60.    wt: 3:   14 Adding and Subtracting with Like Denominators
  61.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  62.    wt: 3:   9 Improper Fractions and Mixed Numbers
  63.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  64.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  65.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  66.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  67.    wt: 3:   8 What skills and work habits to require
  68.    wt: 3:   Example 2 volume of a cone
  69.    wt: 3:   Example 1 volume of a pyramid
  70.    wt: 3:   Volume of Solid by Cross Sections Lesson
  71.    wt: 3:   Example 1. Area Between x and x squared
  72.    wt: 3:   Area Between Curves Lesson Take 2
  73.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  74.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  75.    wt: 3:   Chapter 31 Direct and Indirect Reason
  76.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  77.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  78.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  79.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  80.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  81.    wt: 2:   chapitre 12 00 les iles et division
  82.    wt: 2:   chapitre 07 01 principle D induction mathematique
  83.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  84.    wt: 2:   chapitre 06 00 Chaines de la raison
  85.    wt: 2:   chapitre 05 00 Deception
  86.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  87.    wt: 2:   chapitre 04 09 Regles accidentelles
  88.    wt: 2:   chapitre 04 08 Limitations et benefices
  89.    wt: 2:   chapitre 04 06 engagements
  90.    wt: 2:   chapitre 04 05 Implication versus suggestion
  91.    wt: 2:   chapitre 04 04 Parlons de la logique
  92.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  93.    wt: 2:   chapitre 04 02 Deuxieme enigme
  94.    wt: 2:   chapitre 04 01 Premiere enigme
  95.    wt: 2:   chapitre 04 00 Les regles d implication
  96.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  97.    wt: 2:   chapitre 02 00 La Communication des idees
  98.    wt: 2:   chapitre 01 00 Introduction
  99.    wt: 2:   14 Multiplication and Times Tables
  100.    wt: 2:   13 Addition and Addition Tables
  101.    wt: 2:   9 Summary Degrees to Radians and back
  102.    wt: 2:   1 Degrees and Radians Introduction
  103.    wt: 2:   Parallel Lines and Parallel Transversals
  104.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  105.    wt: 2:   Parallel Lines and Interior Angles
  106.    wt: 2:   14 cosine even and sine and tangent are odd
  107.    wt: 2:   10 Midpoint of [a b] and [b a]
  108.    wt: 2:   7 Exercises to test skill and concept mastery
  109.    wt: 2:   1 Numerical view of lines and their equations
  110.    wt: 2:   What is and is not here
  111.    wt: 2:   6 Polar Multiplication and Rotation
  112.    wt: 2:   5 Cartesian Addition and Translation
  113.    wt: 2:   4 Polar Coordinates to and from
  114.    wt: 2:   3 Lengths and Areas on Maps and Plans
  115.    wt: 2:   B Decimal Comparison and Subtraction
  116.    wt: 2:   2 Combing Counts Addition Skills and Principles
  117.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  118.    wt: 2:   4 Rates Ratios and Proporitionality
  119.    wt: 2:   6 Equations and Systems Equivalent or Implied
  120.    wt: 2:   4 Subtraction and Division Axioms
  121.    wt: 2:   2 Addition and Multiplication Axioms
  122.    wt: 2:   3 More and Less Than with Unlike Signs
  123.    wt: 2:   3 Geometric Formulas and Function Notation
  124.    wt: 2:   1 Formulas Dependence and Function Notation
  125.    wt: 2:   4 Greater More Less Than Signs in General
  126.    wt: 2:   3 Comparison of Negative Numbers
  127.    wt: 2:   5 Square Roots with primes more still
  128.    wt: 2:   4 Square Roots with primes more
  129.    wt: 2:   3 Properties of Square Roots with example
  130.    wt: 2:   2 Square Roots with Prime
  131.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  132.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  133.    wt: 2:   13 GCD from given Prime Factorization
  134.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  135.    wt: 2:   8 GCD from Euclidean Algorithm
  136.    wt: 2:   6 GCD from Prime
  137.    wt: 2:   5 Common Divisors 60 45 via Prime
  138.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  139.    wt: 2:   2 Least Common Multiple LCM intro via list method
  140.    wt: 2:   1 Least Common Multiples LCM Introduction
  141.    wt: 2:   12 GCD 2700 288 via Prime
  142.    wt: 2:   11 What are real lengths and numbers
  143.    wt: 2:   7 negative and additive inverse
  144.    wt: 2:   5 lengths and signs of numbers
  145.    wt: 2:   3 signed coordinates for maps and planes
  146.    wt: 2:   2 signed and unsigned numbers as coordinates
  147.    wt: 2:   7 Converting or Changing Units
  148.    wt: 2:   6 Simplification of Fractions with Units
  149.    wt: 2:   4 Fractions with Units
  150.    wt: 2:   D Three Term Ratios
  151.    wt: 2:   22 Complex Compound Fractions
  152.    wt: 2:   21 Working With Signs
  153.    wt: 2:   20 Dividing Fractions the Why
  154.    wt: 2:   19 Dividing Fractions How TO
  155.    wt: 2:   18 Efficient Ways to Multiply
  156.    wt: 2:   16 Addition Subtraction Comparision Compared
  157.    wt: 2:   13 Fraction Comparison Algebraic View
  158.    wt: 2:   12 Fraction Comparison
  159.    wt: 2:   11 Simplification an Algebraic View
  160.    wt: 2:   8 Numerals Fractionals Quantals Take II
  161.    wt: 2:   7 Numerals Fractionals Quantals
  162.    wt: 2:   6 Multiplication of Mixed Numbers
  163.    wt: 2:   6 Multiplication Algebraically Take II
  164.    wt: 2:   5 Equivalent Fractions
  165.    wt: 2:   4 Fraction Multiplication
  166.    wt: 2:   3 Unit fraction of a fraction
  167.    wt: 2:   2 Unit Fraction Multiplication
  168.    wt: 2:   1 What is a fraction Take II
  169.    wt: 2:   1 What is a fraction
  170.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  171.    wt: 2:   11 Adding Integers Formulas and Examples
  172.    wt: 2:   5 Zero Movement and Additive Inverses
  173.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  174.    wt: 2:   26 Divisibility by 2 3 5 Example
  175.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  176.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  177.    wt: 2:   23 Remainder Arithmetic Modulo 2
  178.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  179.    wt: 2:   21 Remainder Arithmetic Modulo 3
  180.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  181.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  182.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  183.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  184.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  185.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  186.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  187.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  188.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  189.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  190.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  191.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  192.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  193.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  194.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  195.    wt: 2:   5 Remainder Arithmetic Modulo 5
  196.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  197.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  198.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  199.    wt: 2:   1 Remainder Arithmetic Modulo 10
  200.    wt: 2:   17 Identify and Count Factors using Primes
  201.    wt: 2:   12 LCD GCD and LCM using Primes
  202.    wt: 2:   7 Calculator Usage Notes and Cautions
  203.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  204.    wt: 2:   5 Prime Factorization and a Square Rule
  205.    wt: 2:   3 video Primes and Composites from 9 times table
  206.    wt: 2:   2 Prime and Composites less than 16
  207.    wt: 2:   Division with Counts and Length
  208.    wt: 2:   Long Division forwards and backwards Example 3
  209.    wt: 2:   Long Division forwards and backwards Example 2
  210.    wt: 2:   Long Division forwards and backwards Example 1
  211.    wt: 2:   10 Division by Five Long and Short Ways
  212.    wt: 2:   4 Two and Three Digit Multipliers
  213.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  214.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  215.    wt: 2:   Subtraction with J Conversions Example
  216.    wt: 2:   Subtraction Another Video Lesson
  217.    wt: 2:   9 22 Minute Subtraction Review Video
  218.    wt: 2:   8 Subtraction with Units of Measure
  219.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  220.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  221.    wt: 2:   5 A Tip for Efficent Subtraction
  222.    wt: 2:   2 Subtraction Easy Case Examples
  223.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  224.    wt: 2:   7 Adding decimal fractions using decimal point
  225.    wt: 2:   5. How to add decimals C. Examples
  226.    wt: 2:   4. How to add with decimals B with conversions
  227.    wt: 2:   3. How to add with decimals A sans conversions
  228.    wt: 2:   2 Decimal Counting Practices
  229.    wt: 2:   1. Explaining Addition Table
  230.    wt: 2:   11 Place Value SI Standard International way
  231.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  232.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  233.    wt: 2:   Quick history of numbers and algebra
  234.    wt: 2:   Exact Arithmetic Wholes and Fractions
  235.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  236.    wt: 2:   015 School and work day counting tables
  237.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  238.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  239.    wt: 2:   Example 4 with x function of y
  240.    wt: 2:   Example 3
  241.    wt: 2:   Example 2
  242.    wt: 2:   Example 1
  243.    wt: 2:   Area Between Curves Lesson Take 1
  244.    wt: 2:   Summary
  245.    wt: 2:   A Related Material in Volume 3
  246.    wt: 2:   38 Formulas and derivatives for powers and roots
  247.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  248.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  249.    wt: 2:   9 Limits Continuity and Composition
  250.    wt: 2:   5 Jumps and absence of unlimited error control
  251.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  252.    wt: 2:   PostScript For and Against Decimal Perspectives
  253.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  254.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  255.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  256.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  257.    wt: 2:   Chapter 12. Units and Slopes
  258.    wt: 2:   Chapter 10 Slopes and Units
  259.    wt: 2:   Chapter 7 Slopes and Velocity
  260.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  261.    wt: 2:   Chapter 2. Slopes and Ski Trails
  262.    wt: 2:   Appendix E. How To Study Mathematics and Why
  263.    wt: 2:   Appendix D. What to do in School and Why
  264.    wt: 2:   Chapter 30 Truth Tables
  265.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  266.    wt: 2:   Chapter 28 Occurrence Tables
  267.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  268.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  269.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  270.    wt: 2:   Chapter 20. Degrees and Radians
  271.    wt: 2:   Chapter 19. Functions and Sets
  272.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  273.    wt: 2:   Chapter 12. Shorthand Usage Guide
  274.    wt: 2:   Chapter 11. Why Shorthand
  275.    wt: 2:   Chapter 10 Describing and Changing Calculations
  276.    wt: 2:   Chapter 4 Longer Chains of Reason
  277.    wt: 2:   Chapter 3 Chains of Reason
  278.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  279.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  280.    wt: 2:   Chapter 2 For and Against Mathematics
  281.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  282.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  283.    wt: 2:   O On Learning Mathematics and Science
  284.    wt: 2:   N Improving Marks on Tests and Finals
  285.    wt: 2:   J. More on written work and showing skill
  286.    wt: 2:   I. Logic and language skills
  287.    wt: 2:   H Jigsaw puzzles and problem solving
  288.    wt: 2:   G. Written work formats for developing and showing skill
  289.    wt: 2:   E. When and how to correct errors
  290.    wt: 2:   How to Build Skills and Confidence
  291.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  292.    wt: 2:   7 Games and Activities for Instruction
  293.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  294.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  295.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  296.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  297.    wt: 2:   More Algebra and Slope based Calculus Preview
  298.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  299.    wt: 1:   Appendix 1 primary and preschool mathematic
  300.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  301.    wt: 1:   7 logic review and decimals an odd combination
  302.    wt: 1:   5 logarithms and exponentials etc
  303.    wt: 1:   key notes and themes
  304.    wt: 1:   what should be learnt and When
  305.    wt: 1:   teaching tutoring algebraic reason
  306.    wt: 1:   standards for course material
  307.    wt: 1:   Education in mathematics science and technology
  308.    wt: 1:   Different Kinds of Reasoning in maths
  309.    wt: 1:   three kinds of reason in mathematics
  310.    wt: 1:   Motivation and Context Problem
  311.    wt: 1:   fairness and inductive principles for instruction
  312.    wt: 1:   Home Tutoring and Home Schooling
  313.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  314.    wt: 1:   24 Standards For Skill Develoment Take II
  315.    wt: 1:   24 Standards For Skill Develoment
  316.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  317.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  318.    wt: 1:   17 Math Booklets for children and young teenagers
  319.    wt: 1:   12 Goals and Objectives For Mathematics
  320.    wt: 1:   11 Help and Defend Your Child or Teens Education
  321.    wt: 1:   5 Patience Please for Yourself and Your Charges
  322.    wt: 1:   4 Learning Takes Time and Effort
  323.    wt: 1:   2 Reading and Writing Skills
  324.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  325.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  326.    wt: 1:   26 Function definitions done and coming
  327.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  328.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  329.    wt: 1:   19 Horizontal line rule and method
  330.    wt: 1:   18 Vertical Line Rule and Method
  331.    wt: 1:   17 Function maxima minima and their location
  332.    wt: 1:   11 Function Domain Range Source and Targets
  333.    wt: 1:   8 Set view of relations and functions
  334.    wt: 1:   6 Set Existence Formation and Notation
  335.    wt: 1:   4 Function notation in and beyond mathematics
  336.    wt: 1:   9 quadratics physical and further context
  337.    wt: 1:   11 Growth and Decay in Biology
  338.    wt: 1:   10 Exponential Growth and Decay Models
  339.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  340.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  341.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  342.    wt: 1:   16 cotangent function Definition Graph and Inverse
  343.    wt: 1:   15 cosecant function Definition Graph and Inverse
  344.    wt: 1:   14 secant function Definition Graph and Inverse
  345.    wt: 1:   13 cosecant function Definition Graph and Inverse
  346.    wt: 1:   8 Radian Measures of Common Angles
  347.    wt: 1:   7 Radian Measures in special Triangles
  348.    wt: 1:   6 Radian Measure to Degrees
  349.    wt: 1:   5 Degrees to Radian Measure
  350.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  351.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  352.    wt: 1:   2 Radian Measure Numerical Value of one degree
  353.    wt: 1:   A Global Time and Navigation
  354.    wt: 1:   15 Dot and Cross Product
  355.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  356.    wt: 1:   Vector and Complex Number Applet
  357.    wt: 1:   4 graphing y=Asin(x c)
  358.    wt: 1:   3 graphing y=f(x c) plus K
  359.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  360.    wt: 1:   1 graphing y=f(x a)
  361.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  362.    wt: 1:   Triangle Angles Sum To 180 Degrees
  363.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  364.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  365.    wt: 1:   Straight Lines ASA Intersection Study More
  366.    wt: 1:   Straight Lines ASA Intersection Study
  367.    wt: 1:   Straight Lines Instersection Solving Equations
  368.    wt: 1:   Straight Lines Intersection of
  369.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  370.    wt: 1:   C Straight Lines Slope from Coordinates
  371.    wt: 1:   B Straight Line Slope Scaling Properties More
  372.    wt: 1:   A Straight Line Slope Scaling Properties
  373.    wt: 1:   14 Straight Lines Equations General Case
  374.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  375.    wt: 1:   12 Straight Lines Graphing mx plus b
  376.    wt: 1:   11 Straight Lines Graphing y=mx
  377.    wt: 1:   10 Straight Lines through Origin Equations More
  378.    wt: 1:   9 Straight Lines through Origin Equations
  379.    wt: 1:   8 Straight Lines Equation for vertical
  380.    wt: 1:   7 Tangent Function is odd on this domain
  381.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  382.    wt: 1:   5 Tangent Function Graph
  383.    wt: 1:   4 Tangent Function Properties
  384.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  385.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  386.    wt: 1:   1 Straight Lines Slope Concept
  387.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  388.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  389.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  390.    wt: 1:   29 secant cosecant and cotangent for acute angles
  391.    wt: 1:   27 Logarithmic use of products of sines and cosines
  392.    wt: 1:   26 Formulas for products of sines and cosines
  393.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  394.    wt: 1:   21 sine and cosine Half Angle Formulas
  395.    wt: 1:   20 sine and cosine Double Angle Formulas
  396.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  397.    wt: 1:   17E Trig Formulas for dot and cross Products
  398.    wt: 1:   17D cis formulas for sine cosines and tangent
  399.    wt: 1:   17C sine and cosine double triple angle formulas
  400.    wt: 1:   10 Graphs of sines and cosines many periods
  401.    wt: 1:   9 Graphs of sine and cosine over one period
  402.    wt: 1:   7 period of sine and cosine
  403.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  404.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  405.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  406.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  407.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  408.    wt: 1:   21 Logarithms Powers and Exponentials
  409.    wt: 1:   16 References and Originality Question
  410.    wt: 1:   13 Trig Formulas for dot and cross Products
  411.    wt: 1:   12 cis formulas for sine cosines and tangent
  412.    wt: 1:   11 sine and cosine double triple angle formulas
  413.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  414.    wt: 1:   3 Trigonometric Ratios sine and cosine
  415.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  416.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  417.    wt: 1:   8 Similarity of Triangles and Polygons
  418.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  419.    wt: 1:   Four Simple Exercises
  420.    wt: 1:   12 Links Lessons elsewhere
  421.    wt: 1:   11 A Partial Summary
  422.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  423.    wt: 1:   8 Mid Point Formula
  424.    wt: 1:   6 Intersection of lines by solving linear systems
  425.    wt: 1:   5 Algebraic View of Slopes
  426.    wt: 1:   4 Equations for lines three forms
  427.    wt: 1:   3 Slope product for perpendicular lines
  428.    wt: 1:   2 point slope equation for a line
  429.    wt: 1:   13 Pythagorean spatial distance formulas
  430.    wt: 1:   12 Spatial Coordinates
  431.    wt: 1:   11 Triangle Inequality
  432.    wt: 1:   10 Pythagorean plane distance formula
  433.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  434.    wt: 1:   8 Distance Between Points on a Line
  435.    wt: 1:   7 Complex Numbers Appetizer
  436.    wt: 1:   3 Rectangular Coordinates Review
  437.    wt: 1:   2 Cartesian Coordinates with signs
  438.    wt: 1:   1 Cartesian Coordinates sans signs
  439.    wt: 1:   16 Angles Subtended By Chords and Diameters
  440.    wt: 1:   6 Ruler and compass Angle Bisection
  441.    wt: 1:   1 Initial Concepts and Terms
  442.    wt: 1:   A Modular and Remainder Arithmetic
  443.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  444.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  445.    wt: 1:   13 Arrows and Vectors in a Plane
  446.    wt: 1:   11 Signed Number Addition and Addition Properties
  447.    wt: 1:   8 Division and Mulplication of Compound Fractions
  448.    wt: 1:   E Long Division Methods more
  449.    wt: 1:   D Long Division Methods
  450.    wt: 1:   C Three Decimal Subtraction Methods
  451.    wt: 1:   A Decimal Addition Columm Methods
  452.    wt: 1:   8 Column Multiplication Methods in General
  453.    wt: 1:   7 Decimals Multiplication Methods Examples
  454.    wt: 1:   6 Column Methods for Decimal Multiplication
  455.    wt: 1:   5 Distributive Law for Whole Numbers
  456.    wt: 1:   4 Commutative Law Groups Counting Form
  457.    wt: 1:   3 Multiplicative Counting Skills Principles
  458.    wt: 1:   1 The Counting Origins of Numbers
  459.    wt: 1:   5 Areas of Rectangles Revisited
  460.    wt: 1:   4 Fraction Operations Axiomatic Development
  461.    wt: 1:   3 Inequalities Algebraically
  462.    wt: 1:   2 Fraction Operations Physical Development
  463.    wt: 1:   5 Proportionality in Equivalent Fractions
  464.    wt: 1:   3 Proportionality Examples
  465.    wt: 1:   2 Algebraic View
  466.    wt: 1:   1 What is Proportionality
  467.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  468.    wt: 1:   6 Compound Interest Forward and Backwards
  469.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  470.    wt: 1:   5 Equality in Algebra
  471.    wt: 1:   3 Product Axioms Two Forms
  472.    wt: 1:   1 Equivalent Computation Rules
  473.    wt: 1:   5 Greater More Less Than Signs in General
  474.    wt: 1:   4 Comparison of Negative Numbers
  475.    wt: 1:   1 Real Numbers Comparison
  476.    wt: 1:   10 Real Number Lengths and Signs
  477.    wt: 1:   8 Coordinates for Maps and Planes
  478.    wt: 1:   1 Whole and Natural Numbers
  479.    wt: 1:   5 Independent versus Dependent Variables
  480.    wt: 1:   4 Changing Letters
  481.    wt: 1:   2 Computation Rules Evaluation
  482.    wt: 1:   3 GE III Equation Addition and Multiplication
  483.    wt: 1:   Skill Development Notes
  484.    wt: 1:   10 One Example
  485.    wt: 1:   9 Three Examples
  486.    wt: 1:   8 One Example
  487.    wt: 1:   7 Two Examples
  488.    wt: 1:   6 Three Examples
  489.    wt: 1:   5 Three Examples
  490.    wt: 1:   4 Two Examples
  491.    wt: 1:   3 Two Examples
  492.    wt: 1:   2 Three Examples
  493.    wt: 1:   11 Volume of Sphere
  494.    wt: 1:   10 Volume of Pyramid
  495.    wt: 1:   9 Volume of Cone
  496.    wt: 1:   5 Box Volume Formula Example
  497.    wt: 1:   1 Written work formats for developing and showing skill
  498.    wt: 1:   9 Sets in Probability and Statistics
  499.    wt: 1:   5 Talking about Numbers and Quantities
  500.    wt: 1:   4 A Brief Story of numbers and algebra
  501.    wt: 1:   arithmetic videos Real Player Format
  502.    wt: 1:   10 dividing signed numbers
  503.    wt: 1:   9 subtracting signed numbers
  504.    wt: 1:   8 multiplying signed numbers
  505.    wt: 1:   6 adding signed numbers
  506.    wt: 1:   4 signed coordinates for regions in space
  507.    wt: 1:   D Remainders Modulo 11 Pair Rule
  508.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  509.    wt: 1:   B Integer Long Division Multiple Choices
  510.    wt: 1:   A Associative Law Theorectical Note
  511.    wt: 1:   13 Subtraction with Additive Inverse
  512.    wt: 1:   12 Adding Integers More Examples
  513.    wt: 1:   10 Integer Multiplication Formulas
  514.    wt: 1:   9 Multiplying Integers
  515.    wt: 1:   8 Multiplication by Signed Numbers Integers
  516.    wt: 1:   7 Multiplication by Signs
  517.    wt: 1:   6 Multiplication by Natural Numbers
  518.    wt: 1:   4 Adding Movements wiht opposite directions
  519.    wt: 1:   3 Adding Movements with same direction
  520.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  521.    wt: 1:   1 Integers as Coordinates
  522.    wt: 1:   20 Uniqueness of Prime Factorization
  523.    wt: 1:   19 video Prime Factorization Unique
  524.    wt: 1:   18 video Count Factors given Prime Factorization
  525.    wt: 1:   16 video Factors of 980 using prime
  526.    wt: 1:   15 video Factors of 20 using Prime Factorization
  527.    wt: 1:   14 video Factors of 24 Take II
  528.    wt: 1:   13 video Factors of 24 using prime
  529.    wt: 1:   11 Efficient Square Rule Use
  530.    wt: 1:   10 video Prime Factorization upto 23 squared
  531.    wt: 1:   9 video Prime Factorization upto 19 squared
  532.    wt: 1:   8 video Prime Factorization upto 19
  533.    wt: 1:   4 video Prime Factorization Introduction
  534.    wt: 1:   1 video how Products are bigger than factor
  535.    wt: 1:   Long Division Backwards more
  536.    wt: 1:   Long Division Backward
  537.    wt: 1:   12 Why Long Division Works Take III
  538.    wt: 1:   11 Another Single Digit Divisor Example
  539.    wt: 1:   9 Why Long Division Works Take II
  540.    wt: 1:   8 Correcting the Mistake
  541.    wt: 1:   7 Long Divison Mistake Catching
  542.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  543.    wt: 1:   5 Long Division Include Zeroes or not
  544.    wt: 1:   4 Division with 2 Digit Divsors
  545.    wt: 1:   3 Division Single Digit Divisor Example
  546.    wt: 1:   2 Division with Single Digit Divisors
  547.    wt: 1:   1 Divsion Physical Examples
  548.    wt: 1:   D Decimal Multiplication Methods Derived
  549.    wt: 1:   C Counting Areas with Powers of Ten
  550.    wt: 1:   B Powers of Ten
  551.    wt: 1:   A Elementary Basis for Multiplication Methods
  552.    wt: 1:   6 Multiplication Commutes Order Not Important
  553.    wt: 1:   5 Decimal Fraction Multiplication
  554.    wt: 1:   3 More One Digit Multipliers
  555.    wt: 1:   2 One Digit Multipliers
  556.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  557.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  558.    wt: 1:   Video Power Notation in Decimal Expansion
  559.    wt: 1:   1 Why 3 times 5 gives 15
  560.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  561.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  562.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  563.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  564.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  565.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  566.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  567.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  568.    wt: 1:   Formula Evaluation how to show work
  569.    wt: 1:   Expression Evaluation how to show work
  570.    wt: 1:   The 20 Times Table
  571.    wt: 1:   The 12 Times Table Visually
  572.    wt: 1:   About folder contents
  573.    wt: 1:   013 Travel Time Tables
  574.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  575.    wt: 1:   4 Mixing and Changing Units of Time
  576.    wt: 1:   3 Units and Lengths of Time
  577.    wt: 1:   2 Time and Date Matters in School
  578.    wt: 1:   A Related lessons in Volume 3
  579.    wt: 1:   17 Derivatives of quotients of sine and cosine
  580.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  581.    wt: 1:   15 sine and cosine derivatives 3rd step
  582.    wt: 1:   14 sine and cosine derivatives 2nd step
  583.    wt: 1:   13 sine and cosine derivatives 1st step
  584.    wt: 1:   11 Limits at infinity Three Examples
  585.    wt: 1:   10 Three one sided limits with infinite values
  586.    wt: 1:   8 Four Animated Examples
  587.    wt: 1:   7 Evaluation by immediate or delayed substitution
  588.    wt: 1:   6 Continuity at a point
  589.    wt: 1:   4 Numerical properties
  590.    wt: 1:   3 Decimal insights for limits continuity convergence
  591.    wt: 1:   2 Algebraic codification
  592.    wt: 1:   1 Numerical introduction
  593.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  594.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  595.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  596.    wt: 1:   G.5 Motions With Bounded Velocities
  597.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  598.    wt: 1:   G.3 Constant Difference Theorem Proof
  599.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  600.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  601.    wt: 1:   F.5b Extreme Value Theorem
  602.    wt: 1:   F.5a Equicontinuity Theorems
  603.    wt: 1:   F.4 Finite Covering Theorem
  604.    wt: 1:   F.3 Intermediate Value Theorem
  605.    wt: 1:   F.2 Closed Range Theorem
  606.    wt: 1:   F.1 What Functions are Continuous
  607.    wt: 1:   E2 Algebraic Properties of Limits
  608.    wt: 1:   E1 Error Control Inequalities
  609.    wt: 1:   D2 Limits of Monotone Sequences
  610.    wt: 1:   C Triangle Inequalities
  611.    wt: 1:   B3 Bolzano Weierstrass Theorem
  612.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  613.    wt: 1:   A1. Introduction
  614.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  615.    wt: 1:   Chapter 23 Links To Trigonometry
  616.    wt: 1:   Chapter 22 Complex Numbers
  617.    wt: 1:   Chapter 21 Arrow Addition
  618.    wt: 1:   Chapter 18. Slopes Areas Integration
  619.    wt: 1:   Chapter 17. Area Approximation
  620.    wt: 1:   Chapter 16. Velocity Approximation
  621.    wt: 1:   Chapter 15. Slope Approximation
  622.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  623.    wt: 1:   Chapter 13. Acceleration
  624.    wt: 1:   Chapter 11. Graphing Slope versus Position
  625.    wt: 1:   Chapter 9 About First Courses in Calculus
  626.    wt: 1:   Chapter 8. Slope Interpretation
  627.    wt: 1:   Chapter 5. Slope Sign Tests
  628.    wt: 1:   Chapter 4. More Slope Sign Analysis
  629.    wt: 1:   Chapter 3. Slope Sign Analysis
  630.    wt: 1:   Chapter 1.Introduction
  631.    wt: 1:   Fall 1983 Calculus Appetizer
  632.    wt: 1:   Foreword
  633.    wt: 1:   Postscript More on Better Performance
  634.    wt: 1:   Postscript For Better Performance
  635.    wt: 1:   Appendix C. How to Read
  636.    wt: 1:   Appendix B. How To Learn
  637.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  638.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  639.    wt: 1:   Chapter 25. Mathematical Induction Examples
  640.    wt: 1:   Chapter 23. Notation For Sums
  641.    wt: 1:   Chapter 21. Third Reading Guide
  642.    wt: 1:   Chapter 18. Rules for Algebra
  643.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  644.    wt: 1:   Chapter 16. Painless Theorem Proving
  645.    wt: 1:   Chapter 15. Solving Linear Equations
  646.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  647.    wt: 1:   Chapter 13. Second Reading Guide
  648.    wt: 1:   Postscript What is a Variable
  649.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  650.    wt: 1:   Chapter 8 Three Skills For Algebra
  651.    wt: 1:   Solutions For Arithmetic Exercises
  652.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  653.    wt: 1:   Chapter 6 Change of Language
  654.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  655.    wt: 1:   Foreword
  656.    wt: 1:   Annotated Links to Material Elsehwere
  657.    wt: 1:   Postscript B Mathematics Education References
  658.    wt: 1:   Postscript A Three Remarks
  659.    wt: 1:   Chapter 12 Four Phases
  660.    wt: 1:   Chapter 11 Elementary Instruction
  661.    wt: 1:   Chapter 10 Transition
  662.    wt: 1:   Chapter 9 The Two Ends
  663.    wt: 1:   Chapter 8 Modern Instruction
  664.    wt: 1:   Chapter 7 Two Treatments of Geometry
  665.    wt: 1:   Chapter 5 Four References
  666.    wt: 1:   Chapter 3 Algebra Difficulties
  667.    wt: 1:   Chapter 1 Introduction
  668.    wt: 1:   Foreword
  669.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  670.    wt: 1:   S Adding words to algebra
  671.    wt: 1:   R Why Learn Mathematics Skills
  672.    wt: 1:   N Mathematics Prepare for College Studies
  673.    wt: 1:   M Words to extend arithmetic
  674.    wt: 1:   L Skills with take home value
  675.    wt: 1:   H more Routine to non routine problem solving
  676.    wt: 1:   F. The student teacher tutor feedback loop
  677.    wt: 1:   D. Check work a must with a caution
  678.    wt: 1:   C. Domino effect of being careful
  679.    wt: 1:   B. Domino effect of errors
  680.    wt: 1:   A. Skill has to be seen to believed
  681.    wt: 1:   Chapter 8 Skipped Topics and Why
  682.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  683.    wt: 1:   Chapter 6 More Algebra and Geometry
  684.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  685.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  686.    wt: 1:   Helping the Blind in Logic and Mathematics
  687.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  688.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  689.    wt: 1:   The Math Forum and Site Content

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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