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: 2:   Volume 1A Regles et modeles/
  3.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  4.    wt: 2:   11 Squares and Square Roots/
  5.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  6.    wt: 2:   9 Combinatorics Trees Tables and Products/
  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

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

Extended Search

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