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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

43 matches:

  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  3.    wt: 3:   A Decimal Counting and Adding Methods/
  4.    wt: 2:   Volume 1A Regles et modeles/
  5.    wt: 2:   A Origins of Counting and Figuring Methods/
  6.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  7.    wt: 2:   11 Squares and Square Roots/
  8.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  9.    wt: 2:   9 Combinatorics Trees Tables and Products/
  10.    wt: 2:   7 Arithmetic and Fractions with Units/
  11.    wt: 2:   6 Fractions and Ratios/
  12.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  13.    wt: 2:   D Decimal Long Division Methods/
  14.    wt: 2:   C Decimal Multiplication Methods/
  15.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  16.    wt: 2:   Volume 1 Elements of Reason/
  17.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  18.    wt: 1:   12 Function Translating and Rescaling/
  19.    wt: 1:   11 Parallel Straight Lines and Transversals/
  20.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  21.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  22.    wt: 1:   4 Lines and Slopes Take 1/
  23.    wt: 1:   3 Cartesian and Polar Coordinates/
  24.    wt: 1:   10 Examples of Algebraic Reasoning/
  25.    wt: 1:   9 Proportionality Backwards and Forwards/
  26.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  27.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  28.    wt: 1:   4 Computation Rules and Function Notation/
  29.    wt: 1:   Step 1 Stick diagram and fractions/
  30.    wt: 1:   8 Arithmetic with Signed Numbers/
  31.    wt: 1:   5 Integers/
  32.    wt: 1:   3 Prime Factorization Skills/
  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

310 matches:

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

Extended Search

694 matches:

  1.    wt: 9:   Chapter 17 Objective Ways Trial and Error Discovery
  2.    wt: 9:   Chapter 16 Origins and Limitations of Rules and Patterns
  3.    wt: 8:   Postscript B More on Story Telling and Reason
  4.    wt: 8:   Chapter 24 Direct and Indirect Reason
  5.    wt: 8:   Chapter 12 Islands and Divisions of Knowledge
  6.    wt: 7:   Postscript C Consistency as a Tool for Reason
  7.    wt: 7:   Chapter 22 Contrapositive and Vacuously True Implications
  8.    wt: 7:   Chapter 20 Shorthand Symbols as Pronouns
  9.    wt: 7:   Chapter 18 Sense and Knowledge
  10.    wt: 7:   Chapter 15 Objective Processes
  11.    wt: 7:   Chapter 14 Deductive and Empirical Views of Mathematics
  12.    wt: 7:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  13.    wt: 7:   Chapter 11 Accidental Patterns
  14.    wt: 7:   Chapter 7 Longer Chains of Reason
  15.    wt: 7:   Chapter 6 Chains of Reason
  16.    wt: 7:   Chapter 4 Implication Rules Forwards and Backwards
  17.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  18.    wt: 6:   Postscript A Story Telling
  19.    wt: 6:   Chapter 23 Truth Tables
  20.    wt: 6:   Chapter 21 Occurrence Tables
  21.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  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:   6. Counting and adding units and mixed units
  32.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  33.    wt: 4:   1 More and Less Than for Counts and Measures
  34.    wt: 4:   1 Counting and Counting Methods I
  35.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  36.    wt: 4:   17 Efficient Ways to Add and Subtract
  37.    wt: 4:   10 Division by Five Long and Short Ways
  38.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  39.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  40.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  41.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  42.    wt: 4:   8 What skills and work habits to require
  43.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  44.    wt: 3:   E Long Division Methods more
  45.    wt: 3:   D Long Division Methods
  46.    wt: 3:   C Three Decimal Subtraction Methods
  47.    wt: 3:   B Decimal Comparison and Subtraction
  48.    wt: 3:   A Decimal Addition Columm Methods
  49.    wt: 3:   8 Column Multiplication Methods in General
  50.    wt: 3:   7 Decimals Multiplication Methods Examples
  51.    wt: 3:   6 Column Methods for Decimal Multiplication
  52.    wt: 3:   2 Combing Counts Addition Skills and Principles
  53.    wt: 3:   2 More and Less Than for Counts and Measures
  54.    wt: 3:   2 More and Less Than with Unlike Signs
  55.    wt: 3:   1 Squares and Square Roots Introduction
  56.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  57.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  58.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  59.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  60.    wt: 3:   7 GCD and LCM from prime factorization
  61.    wt: 3:   4 LCM of 8 and 10 via Prime
  62.    wt: 3:   3 Counting with Tables and Trees II
  63.    wt: 3:   2 Counting with Tables and Trees I
  64.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  65.    wt: 3:   3 Multiplying Units and Numbers
  66.    wt: 3:   2 Equality and Units
  67.    wt: 3:   1 Addition and Subtraction with Units
  68.    wt: 3:   B Fractions and Two Term Ratios
  69.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  70.    wt: 3:   21 Reciprocals for Fractions and Wholes
  71.    wt: 3:   18 Efficient Ways to Multiply
  72.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  73.    wt: 3:   14 Adding and Subtracting with Like Denominators
  74.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  75.    wt: 3:   9 Improper Fractions and Mixed Numbers
  76.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  77.    wt: 3:   Division with Counts and Length
  78.    wt: 3:   Long Division forwards and backwards Example 3
  79.    wt: 3:   Long Division forwards and backwards Example 2
  80.    wt: 3:   Long Division forwards and backwards Example 1
  81.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  82.    wt: 3:   D Decimal Multiplication Methods Derived
  83.    wt: 3:   A Elementary Basis for Multiplication Methods
  84.    wt: 3:   4 Two and Three Digit Multipliers
  85.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  86.    wt: 3:   Subtraction with J Conversions Example
  87.    wt: 3:   Subtraction Another Video Lesson
  88.    wt: 3:   9 22 Minute Subtraction Review Video
  89.    wt: 3:   8 Subtraction with Units of Measure
  90.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  91.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  92.    wt: 3:   5 A Tip for Efficent Subtraction
  93.    wt: 3:   2 Subtraction Easy Case Examples
  94.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  95.    wt: 3:   7 Adding decimal fractions using decimal point
  96.    wt: 3:   5. How to add decimals C. Examples
  97.    wt: 3:   4. How to add with decimals B with conversions
  98.    wt: 3:   3. How to add with decimals A sans conversions
  99.    wt: 3:   2 Decimal Counting Practices
  100.    wt: 3:   1. Explaining Addition Table
  101.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  102.    wt: 3:   Example 2 volume of a cone
  103.    wt: 3:   Example 1 volume of a pyramid
  104.    wt: 3:   Volume of Solid by Cross Sections Lesson
  105.    wt: 3:   Example 1. Area Between x and x squared
  106.    wt: 3:   Area Between Curves Lesson Take 2
  107.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  108.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  109.    wt: 3:   Chapter 31 Direct and Indirect Reason
  110.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  111.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  112.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  113.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  114.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  115.    wt: 2:   chapitre 12 00 les iles et division
  116.    wt: 2:   chapitre 07 01 principle D induction mathematique
  117.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  118.    wt: 2:   chapitre 06 00 Chaines de la raison
  119.    wt: 2:   chapitre 05 00 Deception
  120.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  121.    wt: 2:   chapitre 04 09 Regles accidentelles
  122.    wt: 2:   chapitre 04 08 Limitations et benefices
  123.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  124.    wt: 2:   chapitre 04 06 engagements
  125.    wt: 2:   chapitre 04 05 Implication versus suggestion
  126.    wt: 2:   chapitre 04 04 Parlons de la logique
  127.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  128.    wt: 2:   chapitre 04 02 Deuxieme enigme
  129.    wt: 2:   chapitre 04 01 Premiere enigme
  130.    wt: 2:   chapitre 04 00 Les regles d implication
  131.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  132.    wt: 2:   chapitre 02 00 La Communication des idees
  133.    wt: 2:   chapitre 01 00 Introduction
  134.    wt: 2:   12 Goals and Objectives For Mathematics
  135.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  136.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  137.    wt: 2:   9 Summary Degrees to Radians and back
  138.    wt: 2:   1 Degrees and Radians Introduction
  139.    wt: 2:   Parallel Lines and Parallel Transversals
  140.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  141.    wt: 2:   Parallel Lines and Interior Angles
  142.    wt: 2:   14 cosine even and sine and tangent are odd
  143.    wt: 2:   10 Midpoint of [a b] and [b a]
  144.    wt: 2:   7 Exercises to test skill and concept mastery
  145.    wt: 2:   1 Numerical view of lines and their equations
  146.    wt: 2:   What is and is not here
  147.    wt: 2:   6 Polar Multiplication and Rotation
  148.    wt: 2:   5 Cartesian Addition and Translation
  149.    wt: 2:   4 Polar Coordinates to and from
  150.    wt: 2:   3 Lengths and Areas on Maps and Plans
  151.    wt: 2:   5 Distributive Law for Whole Numbers
  152.    wt: 2:   4 Commutative Law Groups Counting Form
  153.    wt: 2:   3 Multiplicative Counting Skills Principles
  154.    wt: 2:   1 The Counting Origins of Numbers
  155.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  156.    wt: 2:   4 Rates Ratios and Proporitionality
  157.    wt: 2:   6 Equations and Systems Equivalent or Implied
  158.    wt: 2:   4 Subtraction and Division Axioms
  159.    wt: 2:   2 Addition and Multiplication Axioms
  160.    wt: 2:   3 More and Less Than with Unlike Signs
  161.    wt: 2:   3 Geometric Formulas and Function Notation
  162.    wt: 2:   1 Formulas Dependence and Function Notation
  163.    wt: 2:   4 Greater More Less Than Signs in General
  164.    wt: 2:   3 Comparison of Negative Numbers
  165.    wt: 2:   5 Square Roots with primes more still
  166.    wt: 2:   4 Square Roots with primes more
  167.    wt: 2:   3 Properties of Square Roots with example
  168.    wt: 2:   2 Square Roots with Prime
  169.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  170.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  171.    wt: 2:   13 GCD from given Prime Factorization
  172.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  173.    wt: 2:   8 GCD from Euclidean Algorithm
  174.    wt: 2:   6 GCD from Prime
  175.    wt: 2:   5 Common Divisors 60 45 via Prime
  176.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  177.    wt: 2:   2 Least Common Multiple LCM intro via list method
  178.    wt: 2:   1 Least Common Multiples LCM Introduction
  179.    wt: 2:   12 GCD 2700 288 via Prime
  180.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  181.    wt: 2:   4 Counting with Trees Product Rule Take I
  182.    wt: 2:   11 What are real lengths and numbers
  183.    wt: 2:   7 negative and additive inverse
  184.    wt: 2:   5 lengths and signs of numbers
  185.    wt: 2:   3 signed coordinates for maps and planes
  186.    wt: 2:   2 signed and unsigned numbers as coordinates
  187.    wt: 2:   7 Converting or Changing Units
  188.    wt: 2:   6 Simplification of Fractions with Units
  189.    wt: 2:   4 Fractions with Units
  190.    wt: 2:   D Three Term Ratios
  191.    wt: 2:   22 Complex Compound Fractions
  192.    wt: 2:   21 Working With Signs
  193.    wt: 2:   20 Dividing Fractions the Why
  194.    wt: 2:   19 Dividing Fractions How TO
  195.    wt: 2:   16 Addition Subtraction Comparision Compared
  196.    wt: 2:   13 Fraction Comparison Algebraic View
  197.    wt: 2:   12 Fraction Comparison
  198.    wt: 2:   11 Simplification an Algebraic View
  199.    wt: 2:   8 Numerals Fractionals Quantals Take II
  200.    wt: 2:   7 Numerals Fractionals Quantals
  201.    wt: 2:   6 Multiplication of Mixed Numbers
  202.    wt: 2:   6 Multiplication Algebraically Take II
  203.    wt: 2:   5 Equivalent Fractions
  204.    wt: 2:   4 Fraction Multiplication
  205.    wt: 2:   3 Unit fraction of a fraction
  206.    wt: 2:   2 Unit Fraction Multiplication
  207.    wt: 2:   1 What is a fraction Take II
  208.    wt: 2:   1 What is a fraction
  209.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  210.    wt: 2:   11 Adding Integers Formulas and Examples
  211.    wt: 2:   5 Zero Movement and Additive Inverses
  212.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  213.    wt: 2:   26 Divisibility by 2 3 5 Example
  214.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  215.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  216.    wt: 2:   23 Remainder Arithmetic Modulo 2
  217.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  218.    wt: 2:   21 Remainder Arithmetic Modulo 3
  219.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  220.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  221.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  222.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  223.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  224.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  225.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  226.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  227.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  228.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  229.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  230.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  231.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  232.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  233.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  234.    wt: 2:   5 Remainder Arithmetic Modulo 5
  235.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  236.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  237.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  238.    wt: 2:   1 Remainder Arithmetic Modulo 10
  239.    wt: 2:   17 Identify and Count Factors using Primes
  240.    wt: 2:   12 LCD GCD and LCM using Primes
  241.    wt: 2:   7 Calculator Usage Notes and Cautions
  242.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  243.    wt: 2:   5 Prime Factorization and a Square Rule
  244.    wt: 2:   3 video Primes and Composites from 9 times table
  245.    wt: 2:   2 Prime and Composites less than 16
  246.    wt: 2:   Long Division Backwards more
  247.    wt: 2:   Long Division Backward
  248.    wt: 2:   12 Why Long Division Works Take III
  249.    wt: 2:   11 Another Single Digit Divisor Example
  250.    wt: 2:   9 Why Long Division Works Take II
  251.    wt: 2:   8 Correcting the Mistake
  252.    wt: 2:   7 Long Divison Mistake Catching
  253.    wt: 2:   5 Long Division Include Zeroes or not
  254.    wt: 2:   4 Division with 2 Digit Divsors
  255.    wt: 2:   3 Division Single Digit Divisor Example
  256.    wt: 2:   2 Division with Single Digit Divisors
  257.    wt: 2:   1 Divsion Physical Examples
  258.    wt: 2:   C Counting Areas with Powers of Ten
  259.    wt: 2:   B Powers of Ten
  260.    wt: 2:   6 Multiplication Commutes Order Not Important
  261.    wt: 2:   5 Decimal Fraction Multiplication
  262.    wt: 2:   3 More One Digit Multipliers
  263.    wt: 2:   2 One Digit Multipliers
  264.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  265.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  266.    wt: 2:   Video Power Notation in Decimal Expansion
  267.    wt: 2:   1 Why 3 times 5 gives 15
  268.    wt: 2:   11 Place Value SI Standard International way
  269.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  270.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  271.    wt: 2:   Quick history of numbers and algebra
  272.    wt: 2:   Exact Arithmetic Wholes and Fractions
  273.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  274.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  275.    wt: 2:   Example 4 with x function of y
  276.    wt: 2:   Example 3
  277.    wt: 2:   Example 2
  278.    wt: 2:   Example 1
  279.    wt: 2:   Area Between Curves Lesson Take 1
  280.    wt: 2:   Summary
  281.    wt: 2:   A Related Material in Volume 3
  282.    wt: 2:   38 Formulas and derivatives for powers and roots
  283.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  284.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  285.    wt: 2:   9 Limits Continuity and Composition
  286.    wt: 2:   5 Jumps and absence of unlimited error control
  287.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  288.    wt: 2:   PostScript For and Against Decimal Perspectives
  289.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  290.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  291.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  292.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  293.    wt: 2:   Chapter 12. Units and Slopes
  294.    wt: 2:   Chapter 10 Slopes and Units
  295.    wt: 2:   Chapter 7 Slopes and Velocity
  296.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  297.    wt: 2:   Chapter 2. Slopes and Ski Trails
  298.    wt: 2:   Appendix E. How To Study Mathematics and Why
  299.    wt: 2:   Appendix D. What to do in School and Why
  300.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  301.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  302.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  303.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  304.    wt: 2:   Chapter 20. Degrees and Radians
  305.    wt: 2:   Chapter 19. Functions and Sets
  306.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  307.    wt: 2:   Chapter 12. Shorthand Usage Guide
  308.    wt: 2:   Chapter 11. Why Shorthand
  309.    wt: 2:   Chapter 10 Describing and Changing Calculations
  310.    wt: 2:   Chapter 4 Longer Chains of Reason
  311.    wt: 2:   Chapter 3 Chains of Reason
  312.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  313.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  314.    wt: 2:   Chapter 2 For and Against Mathematics
  315.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  316.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  317.    wt: 2:   O On Learning Mathematics and Science
  318.    wt: 2:   N Improving Marks on Tests and Finals
  319.    wt: 2:   J. More on written work and showing skill
  320.    wt: 2:   I. Logic and language skills
  321.    wt: 2:   H Jigsaw puzzles and problem solving
  322.    wt: 2:   G. Written work formats for developing and showing skill
  323.    wt: 2:   E. When and how to correct errors
  324.    wt: 2:   How to Build Skills and Confidence
  325.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  326.    wt: 2:   7 Games and Activities for Instruction
  327.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  328.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  329.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  330.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  331.    wt: 2:   More Algebra and Slope based Calculus Preview
  332.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  333.    wt: 1:   Appendix 1 primary and preschool mathematic
  334.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  335.    wt: 1:   A Introduction Objectives
  336.    wt: 1:   7 logic review and decimals an odd combination
  337.    wt: 1:   5 logarithms and exponentials etc
  338.    wt: 1:   key notes and themes
  339.    wt: 1:   what should be learnt and When
  340.    wt: 1:   teaching tutoring algebraic reason
  341.    wt: 1:   standards for course material
  342.    wt: 1:   Education in mathematics science and technology
  343.    wt: 1:   Different Kinds of Reasoning in maths
  344.    wt: 1:   three kinds of reason in mathematics
  345.    wt: 1:   Four ways to improve education reform
  346.    wt: 1:   Motivation and Context Problem
  347.    wt: 1:   fairness and inductive principles for instruction
  348.    wt: 1:   Home Tutoring and Home Schooling
  349.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  350.    wt: 1:   24 Standards For Skill Develoment Take II
  351.    wt: 1:   24 Standards For Skill Develoment
  352.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  353.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  354.    wt: 1:   17 Math Booklets for children and young teenagers
  355.    wt: 1:   14 Multiplication and Times Tables
  356.    wt: 1:   13 Addition and Addition Tables
  357.    wt: 1:   11 Help and Defend Your Child or Teens Education
  358.    wt: 1:   5 Patience Please for Yourself and Your Charges
  359.    wt: 1:   4 Learning Takes Time and Effort
  360.    wt: 1:   2 Reading and Writing Skills
  361.    wt: 1:   26 Function definitions done and coming
  362.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  363.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  364.    wt: 1:   19 Horizontal line rule and method
  365.    wt: 1:   18 Vertical Line Rule and Method
  366.    wt: 1:   17 Function maxima minima and their location
  367.    wt: 1:   11 Function Domain Range Source and Targets
  368.    wt: 1:   8 Set view of relations and functions
  369.    wt: 1:   6 Set Existence Formation and Notation
  370.    wt: 1:   4 Function notation in and beyond mathematics
  371.    wt: 1:   9 quadratics physical and further context
  372.    wt: 1:   11 Growth and Decay in Biology
  373.    wt: 1:   10 Exponential Growth and Decay Models
  374.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  375.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  376.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  377.    wt: 1:   16 cotangent function Definition Graph and Inverse
  378.    wt: 1:   15 cosecant function Definition Graph and Inverse
  379.    wt: 1:   14 secant function Definition Graph and Inverse
  380.    wt: 1:   13 cosecant function Definition Graph and Inverse
  381.    wt: 1:   8 Radian Measures of Common Angles
  382.    wt: 1:   7 Radian Measures in special Triangles
  383.    wt: 1:   6 Radian Measure to Degrees
  384.    wt: 1:   5 Degrees to Radian Measure
  385.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  386.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  387.    wt: 1:   2 Radian Measure Numerical Value of one degree
  388.    wt: 1:   A Global Time and Navigation
  389.    wt: 1:   15 Dot and Cross Product
  390.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  391.    wt: 1:   Vector and Complex Number Applet
  392.    wt: 1:   4 graphing y=Asin(x c)
  393.    wt: 1:   3 graphing y=f(x c) plus K
  394.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  395.    wt: 1:   1 graphing y=f(x a)
  396.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  397.    wt: 1:   Triangle Angles Sum To 180 Degrees
  398.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  399.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  400.    wt: 1:   Straight Lines ASA Intersection Study More
  401.    wt: 1:   Straight Lines ASA Intersection Study
  402.    wt: 1:   Straight Lines Instersection Solving Equations
  403.    wt: 1:   Straight Lines Intersection of
  404.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  405.    wt: 1:   C Straight Lines Slope from Coordinates
  406.    wt: 1:   B Straight Line Slope Scaling Properties More
  407.    wt: 1:   A Straight Line Slope Scaling Properties
  408.    wt: 1:   14 Straight Lines Equations General Case
  409.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  410.    wt: 1:   12 Straight Lines Graphing mx plus b
  411.    wt: 1:   11 Straight Lines Graphing y=mx
  412.    wt: 1:   10 Straight Lines through Origin Equations More
  413.    wt: 1:   9 Straight Lines through Origin Equations
  414.    wt: 1:   8 Straight Lines Equation for vertical
  415.    wt: 1:   7 Tangent Function is odd on this domain
  416.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  417.    wt: 1:   5 Tangent Function Graph
  418.    wt: 1:   4 Tangent Function Properties
  419.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  420.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  421.    wt: 1:   1 Straight Lines Slope Concept
  422.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  423.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  424.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  425.    wt: 1:   29 secant cosecant and cotangent for acute angles
  426.    wt: 1:   27 Logarithmic use of products of sines and cosines
  427.    wt: 1:   26 Formulas for products of sines and cosines
  428.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  429.    wt: 1:   21 sine and cosine Half Angle Formulas
  430.    wt: 1:   20 sine and cosine Double Angle Formulas
  431.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  432.    wt: 1:   17E Trig Formulas for dot and cross Products
  433.    wt: 1:   17D cis formulas for sine cosines and tangent
  434.    wt: 1:   17C sine and cosine double triple angle formulas
  435.    wt: 1:   10 Graphs of sines and cosines many periods
  436.    wt: 1:   9 Graphs of sine and cosine over one period
  437.    wt: 1:   7 period of sine and cosine
  438.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  439.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  440.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  441.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  442.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  443.    wt: 1:   21 Logarithms Powers and Exponentials
  444.    wt: 1:   16 References and Originality Question
  445.    wt: 1:   13 Trig Formulas for dot and cross Products
  446.    wt: 1:   12 cis formulas for sine cosines and tangent
  447.    wt: 1:   11 sine and cosine double triple angle formulas
  448.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  449.    wt: 1:   3 Trigonometric Ratios sine and cosine
  450.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  451.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  452.    wt: 1:   8 Similarity of Triangles and Polygons
  453.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  454.    wt: 1:   Four Simple Exercises
  455.    wt: 1:   12 Links Lessons elsewhere
  456.    wt: 1:   11 A Partial Summary
  457.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  458.    wt: 1:   8 Mid Point Formula
  459.    wt: 1:   6 Intersection of lines by solving linear systems
  460.    wt: 1:   5 Algebraic View of Slopes
  461.    wt: 1:   4 Equations for lines three forms
  462.    wt: 1:   3 Slope product for perpendicular lines
  463.    wt: 1:   2 point slope equation for a line
  464.    wt: 1:   13 Pythagorean spatial distance formulas
  465.    wt: 1:   12 Spatial Coordinates
  466.    wt: 1:   11 Triangle Inequality
  467.    wt: 1:   10 Pythagorean plane distance formula
  468.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  469.    wt: 1:   8 Distance Between Points on a Line
  470.    wt: 1:   7 Complex Numbers Appetizer
  471.    wt: 1:   3 Rectangular Coordinates Review
  472.    wt: 1:   2 Cartesian Coordinates with signs
  473.    wt: 1:   1 Cartesian Coordinates sans signs
  474.    wt: 1:   PS B Parallelogram Construction Methods
  475.    wt: 1:   PS A Kite Construction Methods
  476.    wt: 1:   16 Angles Subtended By Chords and Diameters
  477.    wt: 1:   6 Ruler and compass Angle Bisection
  478.    wt: 1:   1 Initial Concepts and Terms
  479.    wt: 1:   A Modular and Remainder Arithmetic
  480.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  481.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  482.    wt: 1:   13 Arrows and Vectors in a Plane
  483.    wt: 1:   11 Signed Number Addition and Addition Properties
  484.    wt: 1:   8 Division and Mulplication of Compound Fractions
  485.    wt: 1:   5 Areas of Rectangles Revisited
  486.    wt: 1:   4 Fraction Operations Axiomatic Development
  487.    wt: 1:   3 Inequalities Algebraically
  488.    wt: 1:   2 Fraction Operations Physical Development
  489.    wt: 1:   5 Proportionality in Equivalent Fractions
  490.    wt: 1:   3 Proportionality Examples
  491.    wt: 1:   2 Algebraic View
  492.    wt: 1:   1 What is Proportionality
  493.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  494.    wt: 1:   6 Compound Interest Forward and Backwards
  495.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  496.    wt: 1:   5 Equality in Algebra
  497.    wt: 1:   3 Product Axioms Two Forms
  498.    wt: 1:   1 Equivalent Computation Rules
  499.    wt: 1:   5 Greater More Less Than Signs in General
  500.    wt: 1:   4 Comparison of Negative Numbers
  501.    wt: 1:   1 Real Numbers Comparison
  502.    wt: 1:   10 Real Number Lengths and Signs
  503.    wt: 1:   8 Coordinates for Maps and Planes
  504.    wt: 1:   1 Whole and Natural Numbers
  505.    wt: 1:   5 Independent versus Dependent Variables
  506.    wt: 1:   4 Changing Letters
  507.    wt: 1:   2 Computation Rules Evaluation
  508.    wt: 1:   3 GE III Equation Addition and Multiplication
  509.    wt: 1:   Skill Development Notes
  510.    wt: 1:   10 One Example
  511.    wt: 1:   9 Three Examples
  512.    wt: 1:   8 One Example
  513.    wt: 1:   7 Two Examples
  514.    wt: 1:   6 Three Examples
  515.    wt: 1:   5 Three Examples
  516.    wt: 1:   4 Two Examples
  517.    wt: 1:   3 Two Examples
  518.    wt: 1:   2 Three Examples
  519.    wt: 1:   11 Volume of Sphere
  520.    wt: 1:   10 Volume of Pyramid
  521.    wt: 1:   9 Volume of Cone
  522.    wt: 1:   5 Box Volume Formula Example
  523.    wt: 1:   1 Written work formats for developing and showing skill
  524.    wt: 1:   9 Sets in Probability and Statistics
  525.    wt: 1:   5 Talking about Numbers and Quantities
  526.    wt: 1:   4 A Brief Story of numbers and algebra
  527.    wt: 1:   arithmetic videos Real Player Format
  528.    wt: 1:   10 dividing signed numbers
  529.    wt: 1:   9 subtracting signed numbers
  530.    wt: 1:   8 multiplying signed numbers
  531.    wt: 1:   6 adding signed numbers
  532.    wt: 1:   4 signed coordinates for regions in space
  533.    wt: 1:   D Remainders Modulo 11 Pair Rule
  534.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  535.    wt: 1:   B Integer Long Division Multiple Choices
  536.    wt: 1:   A Associative Law Theorectical Note
  537.    wt: 1:   13 Subtraction with Additive Inverse
  538.    wt: 1:   12 Adding Integers More Examples
  539.    wt: 1:   10 Integer Multiplication Formulas
  540.    wt: 1:   9 Multiplying Integers
  541.    wt: 1:   8 Multiplication by Signed Numbers Integers
  542.    wt: 1:   7 Multiplication by Signs
  543.    wt: 1:   6 Multiplication by Natural Numbers
  544.    wt: 1:   4 Adding Movements wiht opposite directions
  545.    wt: 1:   3 Adding Movements with same direction
  546.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  547.    wt: 1:   1 Integers as Coordinates
  548.    wt: 1:   20 Uniqueness of Prime Factorization
  549.    wt: 1:   19 video Prime Factorization Unique
  550.    wt: 1:   18 video Count Factors given Prime Factorization
  551.    wt: 1:   16 video Factors of 980 using prime
  552.    wt: 1:   15 video Factors of 20 using Prime Factorization
  553.    wt: 1:   14 video Factors of 24 Take II
  554.    wt: 1:   13 video Factors of 24 using prime
  555.    wt: 1:   11 Efficient Square Rule Use
  556.    wt: 1:   10 video Prime Factorization upto 23 squared
  557.    wt: 1:   9 video Prime Factorization upto 19 squared
  558.    wt: 1:   8 video Prime Factorization upto 19
  559.    wt: 1:   4 video Prime Factorization Introduction
  560.    wt: 1:   1 video how Products are bigger than factor
  561.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  562.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  563.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  564.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  565.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  566.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  567.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  568.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  569.    wt: 1:   Formula Evaluation how to show work
  570.    wt: 1:   Expression Evaluation how to show work
  571.    wt: 1:   The 20 Times Table
  572.    wt: 1:   The 12 Times Table Visually
  573.    wt: 1:   About folder contents
  574.    wt: 1:   015 School and work day counting tables
  575.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  576.    wt: 1:   4 Mixing and Changing Units of Time
  577.    wt: 1:   3 Units and Lengths of Time
  578.    wt: 1:   2 Time and Date Matters in School
  579.    wt: 1:   A Related lessons in Volume 3
  580.    wt: 1:   17 Derivatives of quotients of sine and cosine
  581.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  582.    wt: 1:   15 sine and cosine derivatives 3rd step
  583.    wt: 1:   14 sine and cosine derivatives 2nd step
  584.    wt: 1:   13 sine and cosine derivatives 1st step
  585.    wt: 1:   11 Limits at infinity Three Examples
  586.    wt: 1:   10 Three one sided limits with infinite values
  587.    wt: 1:   8 Four Animated Examples
  588.    wt: 1:   7 Evaluation by immediate or delayed substitution
  589.    wt: 1:   6 Continuity at a point
  590.    wt: 1:   4 Numerical properties
  591.    wt: 1:   3 Decimal insights for limits continuity convergence
  592.    wt: 1:   2 Algebraic codification
  593.    wt: 1:   1 Numerical introduction
  594.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  595.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  596.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  597.    wt: 1:   G.5 Motions With Bounded Velocities
  598.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  599.    wt: 1:   G.3 Constant Difference Theorem Proof
  600.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  601.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  602.    wt: 1:   F.5b Extreme Value Theorem
  603.    wt: 1:   F.5a Equicontinuity Theorems
  604.    wt: 1:   F.4 Finite Covering Theorem
  605.    wt: 1:   F.3 Intermediate Value Theorem
  606.    wt: 1:   F.2 Closed Range Theorem
  607.    wt: 1:   F.1 What Functions are Continuous
  608.    wt: 1:   E2 Algebraic Properties of Limits
  609.    wt: 1:   E1 Error Control Inequalities
  610.    wt: 1:   D2 Limits of Monotone Sequences
  611.    wt: 1:   C Triangle Inequalities
  612.    wt: 1:   B3 Bolzano Weierstrass Theorem
  613.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  614.    wt: 1:   A1. Introduction
  615.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  616.    wt: 1:   Chapter 23 Links To Trigonometry
  617.    wt: 1:   Chapter 22 Complex Numbers
  618.    wt: 1:   Chapter 21 Arrow Addition
  619.    wt: 1:   Chapter 18. Slopes Areas Integration
  620.    wt: 1:   Chapter 17. Area Approximation
  621.    wt: 1:   Chapter 16. Velocity Approximation
  622.    wt: 1:   Chapter 15. Slope Approximation
  623.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  624.    wt: 1:   Chapter 13. Acceleration
  625.    wt: 1:   Chapter 11. Graphing Slope versus Position
  626.    wt: 1:   Chapter 9 About First Courses in Calculus
  627.    wt: 1:   Chapter 8. Slope Interpretation
  628.    wt: 1:   Chapter 5. Slope Sign Tests
  629.    wt: 1:   Chapter 4. More Slope Sign Analysis
  630.    wt: 1:   Chapter 3. Slope Sign Analysis
  631.    wt: 1:   Chapter 1.Introduction
  632.    wt: 1:   Fall 1983 Calculus Appetizer
  633.    wt: 1:   Foreword
  634.    wt: 1:   Postscript More on Better Performance
  635.    wt: 1:   Postscript For Better Performance
  636.    wt: 1:   Appendix C. How to Read
  637.    wt: 1:   Appendix B. How To Learn
  638.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  639.    wt: 1:   Chapter 30 Truth Tables
  640.    wt: 1:   Chapter 28 Occurrence Tables
  641.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  642.    wt: 1:   Chapter 25. Mathematical Induction Examples
  643.    wt: 1:   Chapter 23. Notation For Sums
  644.    wt: 1:   Chapter 21. Third Reading Guide
  645.    wt: 1:   Chapter 18. Rules for Algebra
  646.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  647.    wt: 1:   Chapter 16. Painless Theorem Proving
  648.    wt: 1:   Chapter 15. Solving Linear Equations
  649.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  650.    wt: 1:   Chapter 13. Second Reading Guide
  651.    wt: 1:   Postscript What is a Variable
  652.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  653.    wt: 1:   Chapter 8 Three Skills For Algebra
  654.    wt: 1:   Solutions For Arithmetic Exercises
  655.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  656.    wt: 1:   Chapter 6 Change of Language
  657.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  658.    wt: 1:   Foreword
  659.    wt: 1:   Annotated Links to Material Elsehwere
  660.    wt: 1:   Postscript B Mathematics Education References
  661.    wt: 1:   Postscript A Three Remarks
  662.    wt: 1:   Chapter 12 Four Phases
  663.    wt: 1:   Chapter 11 Elementary Instruction
  664.    wt: 1:   Chapter 10 Transition
  665.    wt: 1:   Chapter 9 The Two Ends
  666.    wt: 1:   Chapter 8 Modern Instruction
  667.    wt: 1:   Chapter 7 Two Treatments of Geometry
  668.    wt: 1:   Chapter 5 Four References
  669.    wt: 1:   Chapter 3 Algebra Difficulties
  670.    wt: 1:   Chapter 1 Introduction
  671.    wt: 1:   Foreword
  672.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  673.    wt: 1:   S Adding words to algebra
  674.    wt: 1:   R Why Learn Mathematics Skills
  675.    wt: 1:   N Mathematics Prepare for College Studies
  676.    wt: 1:   M Words to extend arithmetic
  677.    wt: 1:   L Skills with take home value
  678.    wt: 1:   H more Routine to non routine problem solving
  679.    wt: 1:   F. The student teacher tutor feedback loop
  680.    wt: 1:   D. Check work a must with a caution
  681.    wt: 1:   C. Domino effect of being careful
  682.    wt: 1:   B. Domino effect of errors
  683.    wt: 1:   A. Skill has to be seen to believed
  684.    wt: 1:   Chapter 8 Skipped Topics and Why
  685.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  686.    wt: 1:   Chapter 6 More Algebra and Geometry
  687.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  688.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  689.    wt: 1:   Helping the Blind in Logic and Mathematics
  690.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  691.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  692.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  693.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  694.    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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.