Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

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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44 matches:

  1.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  2.    wt: 6:   11 Squares and Square Roots/
  3.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  4.    wt: 6:   9 Combinatorics Trees Tables and Products/
  5.    wt: 6:   8 Arithmetic with Signed Numbers/
  6.    wt: 6:   7 Arithmetic and Fractions with Units/
  7.    wt: 6:   6 Fractions and Ratios/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  21.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 1:   12 Function Translating and Rescaling/
  23.    wt: 1:   11 Parallel Straight Lines and Transversals/
  24.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  26.    wt: 1:   7 Complex Numbers/
  27.    wt: 1:   4 Lines and Slopes Take 1/
  28.    wt: 1:   3 Cartesian and Polar Coordinates/
  29.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  30.    wt: 1:   B Real Numbers Extrinsic Development/
  31.    wt: 1:   A Origins of Counting and Figuring Methods/
  32.    wt: 1:   9 Proportionality Backwards and Forwards/
  33.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  34.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  35.    wt: 1:   5 Real Numbers/
  36.    wt: 1:   4 Computation Rules and Function Notation/
  37.    wt: 1:   Step 1 Stick diagram and fractions/
  38.    wt: 1:   Time Date Matters/
  39.    wt: 1:   Skills with take home value/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Volume 2 Three Skills For Algebra/
  43.    wt: 1:   Work and Study Tips/
  44.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

347 matches:

  1.    wt: 3:   PS H Distributive Law For Complex Numbers
  2.    wt: 3:   5 Distributive Law for Whole Numbers
  3.    wt: 3:   1 Whole and Natural Numbers
  4.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  5.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  6.    wt: 2:   Ramblings Extrinsic numbers theory
  7.    wt: 2:   2 Reading and Writing Skills
  8.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  9.    wt: 2:   1 Polynomials Distributive Law
  10.    wt: 2:   Vector and Complex Number Applet
  11.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  12.    wt: 2:   14 cosine even and sine and tangent are odd
  13.    wt: 2:   5 An Easy Proof of the Distributive Law
  14.    wt: 2:   3 Lengths and Areas on Maps and Plans
  15.    wt: 2:   23 Distributive Law Two Derivations
  16.    wt: 2:   11 Signed Number Addition and Addition Properties
  17.    wt: 2:   2 Combing Counts Addition Skills and Principles
  18.    wt: 2:   2 More and Less Than for Counts and Measures
  19.    wt: 2:   10 Real Number Lengths and Signs
  20.    wt: 2:   5 Talking about Numbers and Quantities
  21.    wt: 2:   4 A Brief Story of numbers and algebra
  22.    wt: 2:   1 More and Less Than for Counts and Measures
  23.    wt: 2:   11 What are real lengths and numbers
  24.    wt: 2:   5 lengths and signs of numbers
  25.    wt: 2:   2 signed and unsigned numbers as coordinates
  26.    wt: 2:   3 Multiplying Units and Numbers
  27.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  28.    wt: 2:   9 Improper Fractions and Mixed Numbers
  29.    wt: 2:   6 Multiplication by Natural Numbers
  30.    wt: 2:   8 What skills and work habits to require
  31.    wt: 2:   6. Counting and adding units and mixed units
  32.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  33.    wt: 2:   Quick history of numbers and algebra
  34.    wt: 2:   38 Formulas and derivatives for powers and roots
  35.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  36.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  37.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  38.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  39.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  40.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  41.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  42.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  43.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  44.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  45.    wt: 2:   I. Logic and language skills
  46.    wt: 2:   How to Build Skills and Confidence
  47.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  48.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  49.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  50.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  51.    wt: 1:   Appendix 1 primary and preschool mathematic
  52.    wt: 1:   G LAMP Introduction Problem Solving Skills
  53.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  54.    wt: 1:   Skills Chapter 5 Calculus
  55.    wt: 1:   Skills Chapter 4 Logic
  56.    wt: 1:   Skills Chapter 3 Algebra
  57.    wt: 1:   Skills Chapter 2 Geometry
  58.    wt: 1:   Skills Chapter 1 Arithmetic
  59.    wt: 1:   Skills Chapter 0 Introduction
  60.    wt: 1:   7 logic review and decimals an odd combination
  61.    wt: 1:   5 logarithms and exponentials etc
  62.    wt: 1:   2 arithmetic with signed numbers
  63.    wt: 1:   1 arithmetic with unsigned numbers
  64.    wt: 1:   key notes and themes
  65.    wt: 1:   what should be learnt and When
  66.    wt: 1:   standards for course material
  67.    wt: 1:   Theory of Knowledge
  68.    wt: 1:   Education in mathematics science and technology
  69.    wt: 1:   Motivation and Context Problem
  70.    wt: 1:   fairness and inductive principles for instruction
  71.    wt: 1:   E Kirchoffs Second Law
  72.    wt: 1:   D Kirchoff First Law
  73.    wt: 1:   Home Tutoring and Home Schooling
  74.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  75.    wt: 1:   24 Standards For Skill Develoment Take II
  76.    wt: 1:   24 Standards For Skill Develoment
  77.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  78.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  79.    wt: 1:   17 Math Booklets for children and young teenagers
  80.    wt: 1:   14 Multiplication and Times Tables
  81.    wt: 1:   13 Addition and Addition Tables
  82.    wt: 1:   12 Goals and Objectives For Mathematics
  83.    wt: 1:   11 Help and Defend Your Child or Teens Education
  84.    wt: 1:   5 Patience Please for Yourself and Your Charges
  85.    wt: 1:   4 Learning Takes Time and Effort
  86.    wt: 1:   1 Speaking Skills
  87.    wt: 1:   Ages 12 to 14 Skills with take home value
  88.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  89.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  90.    wt: 1:   26 Function definitions done and coming
  91.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  92.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  93.    wt: 1:   19 Horizontal line rule and method
  94.    wt: 1:   18 Vertical Line Rule and Method
  95.    wt: 1:   17 Function maxima minima and their location
  96.    wt: 1:   11 Function Domain Range Source and Targets
  97.    wt: 1:   9 Set theory term relation possible origins
  98.    wt: 1:   8 Set view of relations and functions
  99.    wt: 1:   6 Set Existence Formation and Notation
  100.    wt: 1:   4 Function notation in and beyond mathematics
  101.    wt: 1:   9 quadratics physical and further context
  102.    wt: 1:   11 Growth and Decay in Biology
  103.    wt: 1:   10 Exponential Growth and Decay Models
  104.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  105.    wt: 1:   5 Natural Logarithm Calculator Exercises
  106.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  107.    wt: 1:   16 cotangent function Definition Graph and Inverse
  108.    wt: 1:   15 cosecant function Definition Graph and Inverse
  109.    wt: 1:   14 secant function Definition Graph and Inverse
  110.    wt: 1:   13 cosecant function Definition Graph and Inverse
  111.    wt: 1:   9 Summary Degrees to Radians and back
  112.    wt: 1:   1 Degrees and Radians Introduction
  113.    wt: 1:   A Global Time and Navigation
  114.    wt: 1:   15 Dot and Cross Product
  115.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  116.    wt: 1:   Parallel Lines and Parallel Transversals
  117.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  118.    wt: 1:   Parallel Lines and Interior Angles
  119.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  120.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  121.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  122.    wt: 1:   29 secant cosecant and cotangent for acute angles
  123.    wt: 1:   27 Logarithmic use of products of sines and cosines
  124.    wt: 1:   26 Formulas for products of sines and cosines
  125.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  126.    wt: 1:   21 sine and cosine Half Angle Formulas
  127.    wt: 1:   20 sine and cosine Double Angle Formulas
  128.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  129.    wt: 1:   17F Law of cosines
  130.    wt: 1:   17E Trig Formulas for dot and cross Products
  131.    wt: 1:   17D cis formulas for sine cosines and tangent
  132.    wt: 1:   17C sine and cosine double triple angle formulas
  133.    wt: 1:   17A The complex number valued trig function cis
  134.    wt: 1:   10 Graphs of sines and cosines many periods
  135.    wt: 1:   9 Graphs of sine and cosine over one period
  136.    wt: 1:   7 period of sine and cosine
  137.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  138.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  139.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  140.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  141.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  142.    wt: 1:   21 Logarithms Powers and Exponentials
  143.    wt: 1:   20 N th Roots of Complex Numbers
  144.    wt: 1:   16 References and Originality Question
  145.    wt: 1:   14 Law of cosines
  146.    wt: 1:   13 Trig Formulas for dot and cross Products
  147.    wt: 1:   12 cis formulas for sine cosines and tangent
  148.    wt: 1:   11 sine and cosine double triple angle formulas
  149.    wt: 1:   9 The complex number valued trig function cis
  150.    wt: 1:   6 Field Properties of Complex Number
  151.    wt: 1:   2 Complex Numbers made easier we hope
  152.    wt: 1:   Appetizer A Complex Number Applet
  153.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  154.    wt: 1:   3 Trigonometric Ratios sine and cosine
  155.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  156.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  157.    wt: 1:   8 Similarity of Triangles and Polygons
  158.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  159.    wt: 1:   10 Midpoint of [a b] and [b a]
  160.    wt: 1:   7 Exercises to test skill and concept mastery
  161.    wt: 1:   1 Numerical view of lines and their equations
  162.    wt: 1:   What is and is not here
  163.    wt: 1:   7 Complex Numbers Appetizer
  164.    wt: 1:   6 Polar Multiplication and Rotation
  165.    wt: 1:   5 Cartesian Addition and Translation
  166.    wt: 1:   4 Polar Coordinates to and from
  167.    wt: 1:   16 Angles Subtended By Chords and Diameters
  168.    wt: 1:   6 Ruler and compass Angle Bisection
  169.    wt: 1:   1 Initial Concepts and Terms
  170.    wt: 1:   musings do not puiblish real numbers
  171.    wt: 1:   A Modular and Remainder Arithmetic
  172.    wt: 1:   A Signed Number Arithmetic Review
  173.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  174.    wt: 1:   22 Multiplication of Signed Numbers
  175.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  176.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  177.    wt: 1:   13 Arrows and Vectors in a Plane
  178.    wt: 1:   12 Real Numbers Line Signed Coordinates
  179.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  180.    wt: 1:   8 Division and Mulplication of Compound Fractions
  181.    wt: 1:   B Decimal Comparison and Subtraction
  182.    wt: 1:   4 Commutative Law Groups Counting Form
  183.    wt: 1:   3 Multiplicative Counting Skills Principles
  184.    wt: 1:   1 The Counting Origins of Numbers
  185.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  186.    wt: 1:   4 Rates Ratios and Proporitionality
  187.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  188.    wt: 1:   6 Compound Interest Forward and Backwards
  189.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  190.    wt: 1:   6 Equations and Systems Equivalent or Implied
  191.    wt: 1:   4 Subtraction and Division Axioms
  192.    wt: 1:   2 Addition and Multiplication Axioms
  193.    wt: 1:   4 Comparison of Negative Numbers
  194.    wt: 1:   3 More and Less Than with Unlike Signs
  195.    wt: 1:   1 Real Numbers Comparison
  196.    wt: 1:   16 Real Numbers Comparison
  197.    wt: 1:   15 Real Number Division
  198.    wt: 1:   14 Real Number Multiplication
  199.    wt: 1:   13 Real Number Subtraction
  200.    wt: 1:   12 Real Number Additive Inverses or Negatives
  201.    wt: 1:   11 Real Number Addition
  202.    wt: 1:   8 Coordinates for Maps and Planes
  203.    wt: 1:   7 Real Numbers as Line Cordinates
  204.    wt: 1:   6 Unsigned Real Numbers
  205.    wt: 1:   5 Rational Numbers More
  206.    wt: 1:   4 Rational Numbers
  207.    wt: 1:   3 Geometric Formulas and Function Notation
  208.    wt: 1:   1 Formulas Dependence and Function Notation
  209.    wt: 1:   3 GE III Equation Addition and Multiplication
  210.    wt: 1:   1 Written work formats for developing and showing skill
  211.    wt: 1:   9 Sets in Probability and Statistics
  212.    wt: 1:   8 Sets of Numbers
  213.    wt: 1:   1 Three Skills For Algebra
  214.    wt: 1:   3 Comparison of Negative Numbers
  215.    wt: 1:   2 More and Less Than with Unlike Signs
  216.    wt: 1:   1 Squares and Square Roots Introduction
  217.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  218.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  219.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  220.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  221.    wt: 1:   7 GCD and LCM from prime factorization
  222.    wt: 1:   4 LCM of 8 and 10 via Prime
  223.    wt: 1:   3 Counting with Tables and Trees II
  224.    wt: 1:   2 Counting with Tables and Trees I
  225.    wt: 1:   1 Counting and Counting Methods I
  226.    wt: 1:   10 dividing signed numbers
  227.    wt: 1:   9 subtracting signed numbers
  228.    wt: 1:   8 multiplying signed numbers
  229.    wt: 1:   7 negative and additive inverse
  230.    wt: 1:   6 adding signed numbers
  231.    wt: 1:   3 signed coordinates for maps and planes
  232.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  233.    wt: 1:   2 Equality and Units
  234.    wt: 1:   1 Addition and Subtraction with Units
  235.    wt: 1:   B Fractions and Two Term Ratios
  236.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  237.    wt: 1:   21 Reciprocals for Fractions and Wholes
  238.    wt: 1:   17 Efficient Ways to Add and Subtract
  239.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  240.    wt: 1:   14 Adding and Subtracting with Like Denominators
  241.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  242.    wt: 1:   6 Multiplication of Mixed Numbers
  243.    wt: 1:   A Associative Law Theorectical Note
  244.    wt: 1:   11 Adding Integers Formulas and Examples
  245.    wt: 1:   8 Multiplication by Signed Numbers Integers
  246.    wt: 1:   5 Zero Movement and Additive Inverses
  247.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  248.    wt: 1:   17 Identify and Count Factors using Primes
  249.    wt: 1:   12 LCD GCD and LCM using Primes
  250.    wt: 1:   7 Calculator Usage Notes and Cautions
  251.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  252.    wt: 1:   5 Prime Factorization and a Square Rule
  253.    wt: 1:   3 video Primes and Composites from 9 times table
  254.    wt: 1:   2 Prime and Composites less than 16
  255.    wt: 1:   Division with Counts and Length
  256.    wt: 1:   Long Division forwards and backwards Example 3
  257.    wt: 1:   Long Division forwards and backwards Example 2
  258.    wt: 1:   Long Division forwards and backwards Example 1
  259.    wt: 1:   10 Division by Five Long and Short Ways
  260.    wt: 1:   4 Two and Three Digit Multipliers
  261.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  262.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  263.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  264.    wt: 1:   11 Place Value SI Standard International way
  265.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  266.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  267.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  268.    wt: 1:   Exact Arithmetic Wholes and Fractions
  269.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  270.    wt: 1:   016 Numbering Occidental Calendar Days
  271.    wt: 1:   015 School and work day counting tables
  272.    wt: 1:   011 Division of Time Intervals By Numbers
  273.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  274.    wt: 1:   4 Mixing and Changing Units of Time
  275.    wt: 1:   3 Units and Lengths of Time
  276.    wt: 1:   2 Time and Date Matters in School
  277.    wt: 1:   1 Intro of Kids To Time Date Skills
  278.    wt: 1:   Example 1. Area Between x and x squared
  279.    wt: 1:   17 Derivatives of quotients of sine and cosine
  280.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  281.    wt: 1:   15 sine and cosine derivatives 3rd step
  282.    wt: 1:   14 sine and cosine derivatives 2nd step
  283.    wt: 1:   13 sine and cosine derivatives 1st step
  284.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  285.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  286.    wt: 1:   9 Limits Continuity and Composition
  287.    wt: 1:   5 Jumps and absence of unlimited error control
  288.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  289.    wt: 1:   PostScript For and Against Decimal Perspectives
  290.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  291.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  292.    wt: 1:   Chapter 22 Complex Numbers
  293.    wt: 1:   Chapter 12. Units and Slopes
  294.    wt: 1:   Chapter 10 Slopes and Units
  295.    wt: 1:   Chapter 7 Slopes and Velocity
  296.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  297.    wt: 1:   Chapter 2. Slopes and Ski Trails
  298.    wt: 1:   Appendix E. How To Study Mathematics and Why
  299.    wt: 1:   Appendix D. What to do in School and Why
  300.    wt: 1:   Chapter 31 Direct and Indirect Reason
  301.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  302.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  303.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  304.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  305.    wt: 1:   Chapter 20. Degrees and Radians
  306.    wt: 1:   Chapter 19. Functions and Sets
  307.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  308.    wt: 1:   Chapter 12. Shorthand Usage Guide
  309.    wt: 1:   Chapter 11. Why Shorthand
  310.    wt: 1:   Chapter 10 Describing and Changing Calculations
  311.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  312.    wt: 1:   Chapter 8 Three Skills For Algebra
  313.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  314.    wt: 1:   Chapter 2 For and Against Mathematics
  315.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  316.    wt: 1:   Postscript B More on Story Telling and Reason
  317.    wt: 1:   Chapter 24 Direct and Indirect Reason
  318.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  319.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  320.    wt: 1:   Chapter 18 Sense and Knowledge
  321.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  322.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  323.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  324.    wt: 1:   R Why Learn Mathematics Skills
  325.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  326.    wt: 1:   O On Learning Mathematics and Science
  327.    wt: 1:   L Skills with take home value
  328.    wt: 1:   N Improving Marks on Tests and Finals
  329.    wt: 1:   J. More on written work and showing skill
  330.    wt: 1:   H Jigsaw puzzles and problem solving
  331.    wt: 1:   G. Written work formats for developing and showing skill
  332.    wt: 1:   E. When and how to correct errors
  333.    wt: 1:   Chapter 8 Skipped Topics and Why
  334.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  335.    wt: 1:   Chapter 6 More Algebra and Geometry
  336.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  337.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  338.    wt: 1:   7 Games and Activities for Instruction
  339.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  340.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  341.    wt: 1:   Helping the Blind in Logic and Mathematics
  342.    wt: 1:   More Algebra and Slope based Calculus Preview
  343.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  344.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  345.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  346.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  347.    wt: 1:   The Math Forum and Site Content

Extended Search

714 matches:

  1.    wt: 9:   1 More and Less Than for Counts and Measures
  2.    wt: 8:   3 Comparison of Negative Numbers
  3.    wt: 8:   2 More and Less Than with Unlike Signs
  4.    wt: 8:   11 What are real lengths and numbers
  5.    wt: 8:   5 lengths and signs of numbers
  6.    wt: 8:   2 signed and unsigned numbers as coordinates
  7.    wt: 8:   3 Multiplying Units and Numbers
  8.    wt: 8:   C Equality for Fractions and Two Term Ratios and Fractions
  9.    wt: 8:   9 Improper Fractions and Mixed Numbers
  10.    wt: 8:   8 What skills and work habits to require
  11.    wt: 8:   6. Counting and adding units and mixed units
  12.    wt: 7:   4 Greater More Less Than Signs in General
  13.    wt: 7:   1 Squares and Square Roots Introduction
  14.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  15.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  16.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  17.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  18.    wt: 7:   7 GCD and LCM from prime factorization
  19.    wt: 7:   4 LCM of 8 and 10 via Prime
  20.    wt: 7:   3 Counting with Tables and Trees II
  21.    wt: 7:   2 Counting with Tables and Trees I
  22.    wt: 7:   1 Counting and Counting Methods I
  23.    wt: 7:   10 dividing signed numbers
  24.    wt: 7:   9 subtracting signed numbers
  25.    wt: 7:   8 multiplying signed numbers
  26.    wt: 7:   7 negative and additive inverse
  27.    wt: 7:   6 adding signed numbers
  28.    wt: 7:   3 signed coordinates for maps and planes
  29.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  30.    wt: 7:   2 Equality and Units
  31.    wt: 7:   1 Addition and Subtraction with Units
  32.    wt: 7:   B Fractions and Two Term Ratios
  33.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  34.    wt: 7:   21 Reciprocals for Fractions and Wholes
  35.    wt: 7:   17 Efficient Ways to Add and Subtract
  36.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  37.    wt: 7:   14 Adding and Subtracting with Like Denominators
  38.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  39.    wt: 7:   6 Multiplication of Mixed Numbers
  40.    wt: 7:   6 Multiplication by Natural Numbers
  41.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  42.    wt: 7:   17 Identify and Count Factors using Primes
  43.    wt: 7:   12 LCD GCD and LCM using Primes
  44.    wt: 7:   7 Calculator Usage Notes and Cautions
  45.    wt: 7:   6 Sieve of Eratosthenes and Square Rule
  46.    wt: 7:   5 Prime Factorization and a Square Rule
  47.    wt: 7:   3 video Primes and Composites from 9 times table
  48.    wt: 7:   2 Prime and Composites less than 16
  49.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  50.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  51.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  52.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  53.    wt: 7:   Quick history of numbers and algebra
  54.    wt: 6:   5 Square Roots with primes more still
  55.    wt: 6:   4 Square Roots with primes more
  56.    wt: 6:   3 Properties of Square Roots with example
  57.    wt: 6:   2 Square Roots with Prime
  58.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  59.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  60.    wt: 6:   13 GCD from given Prime Factorization
  61.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  62.    wt: 6:   8 GCD from Euclidean Algorithm
  63.    wt: 6:   6 GCD from Prime
  64.    wt: 6:   5 Common Divisors 60 45 via Prime
  65.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  66.    wt: 6:   2 Least Common Multiple LCM intro via list method
  67.    wt: 6:   1 Least Common Multiples LCM Introduction
  68.    wt: 6:   12 GCD 2700 288 via Prime
  69.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  70.    wt: 6:   4 Counting with Trees Product Rule Take I
  71.    wt: 6:   4 signed coordinates for regions in space
  72.    wt: 6:   7 Converting or Changing Units
  73.    wt: 6:   6 Simplification of Fractions with Units
  74.    wt: 6:   4 Fractions with Units
  75.    wt: 6:   D Three Term Ratios
  76.    wt: 6:   22 Complex Compound Fractions
  77.    wt: 6:   21 Working With Signs
  78.    wt: 6:   20 Dividing Fractions the Why
  79.    wt: 6:   19 Dividing Fractions How TO
  80.    wt: 6:   18 Efficient Ways to Multiply
  81.    wt: 6:   16 Addition Subtraction Comparision Compared
  82.    wt: 6:   13 Fraction Comparison Algebraic View
  83.    wt: 6:   12 Fraction Comparison
  84.    wt: 6:   11 Simplification an Algebraic View
  85.    wt: 6:   8 Numerals Fractionals Quantals Take II
  86.    wt: 6:   7 Numerals Fractionals Quantals
  87.    wt: 6:   6 Multiplication Algebraically Take II
  88.    wt: 6:   5 Equivalent Fractions
  89.    wt: 6:   4 Fraction Multiplication
  90.    wt: 6:   3 Unit fraction of a fraction
  91.    wt: 6:   2 Unit Fraction Multiplication
  92.    wt: 6:   1 What is a fraction Take II
  93.    wt: 6:   1 What is a fraction
  94.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  95.    wt: 6:   A Associative Law Theorectical Note
  96.    wt: 6:   11 Adding Integers Formulas and Examples
  97.    wt: 6:   8 Multiplication by Signed Numbers Integers
  98.    wt: 6:   5 Zero Movement and Additive Inverses
  99.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  100.    wt: 6:   26 Divisibility by 2 3 5 Example
  101.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  102.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  103.    wt: 6:   23 Remainder Arithmetic Modulo 2
  104.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  105.    wt: 6:   21 Remainder Arithmetic Modulo 3
  106.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  107.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  108.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  109.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  110.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  111.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  112.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  113.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  114.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  115.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  116.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  117.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  118.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  119.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  120.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  121.    wt: 6:   5 Remainder Arithmetic Modulo 5
  122.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  123.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  124.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  125.    wt: 6:   1 Remainder Arithmetic Modulo 10
  126.    wt: 6:   20 Uniqueness of Prime Factorization
  127.    wt: 6:   19 video Prime Factorization Unique
  128.    wt: 6:   18 video Count Factors given Prime Factorization
  129.    wt: 6:   16 video Factors of 980 using prime
  130.    wt: 6:   15 video Factors of 20 using Prime Factorization
  131.    wt: 6:   14 video Factors of 24 Take II
  132.    wt: 6:   13 video Factors of 24 using prime
  133.    wt: 6:   11 Efficient Square Rule Use
  134.    wt: 6:   10 video Prime Factorization upto 23 squared
  135.    wt: 6:   9 video Prime Factorization upto 19 squared
  136.    wt: 6:   8 video Prime Factorization upto 19
  137.    wt: 6:   4 video Prime Factorization Introduction
  138.    wt: 6:   1 video how Products are bigger than factor
  139.    wt: 6:   Division with Counts and Length
  140.    wt: 6:   Long Division forwards and backwards Example 3
  141.    wt: 6:   Long Division forwards and backwards Example 2
  142.    wt: 6:   Long Division forwards and backwards Example 1
  143.    wt: 6:   10 Division by Five Long and Short Ways
  144.    wt: 6:   4 Two and Three Digit Multipliers
  145.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  146.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  147.    wt: 6:   Subtraction with J Conversions Example
  148.    wt: 6:   Subtraction Another Video Lesson
  149.    wt: 6:   9 22 Minute Subtraction Review Video
  150.    wt: 6:   8 Subtraction with Units of Measure
  151.    wt: 6:   7 Subtraction for Decimal Fractions with Exercises
  152.    wt: 6:   6 Subtraction with Conversion Example with Exercises
  153.    wt: 6:   5 A Tip for Efficent Subtraction
  154.    wt: 6:   2 Subtraction Easy Case Examples
  155.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  156.    wt: 6:   7 Adding decimal fractions using decimal point
  157.    wt: 6:   5. How to add decimals C. Examples
  158.    wt: 6:   4. How to add with decimals B with conversions
  159.    wt: 6:   3. How to add with decimals A sans conversions
  160.    wt: 6:   2 Decimal Counting Practices
  161.    wt: 6:   1. Explaining Addition Table
  162.    wt: 6:   11 Place Value SI Standard International way
  163.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  164.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  165.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  166.    wt: 6:   Exact Arithmetic Wholes and Fractions
  167.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  168.    wt: 5:   arithmetic videos Real Player Format
  169.    wt: 5:   D Remainders Modulo 11 Pair Rule
  170.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  171.    wt: 5:   B Integer Long Division Multiple Choices
  172.    wt: 5:   13 Subtraction with Additive Inverse
  173.    wt: 5:   12 Adding Integers More Examples
  174.    wt: 5:   10 Integer Multiplication Formulas
  175.    wt: 5:   9 Multiplying Integers
  176.    wt: 5:   7 Multiplication by Signs
  177.    wt: 5:   4 Adding Movements wiht opposite directions
  178.    wt: 5:   3 Adding Movements with same direction
  179.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  180.    wt: 5:   1 Integers as Coordinates
  181.    wt: 5:   Long Division Backwards more
  182.    wt: 5:   Long Division Backward
  183.    wt: 5:   12 Why Long Division Works Take III
  184.    wt: 5:   11 Another Single Digit Divisor Example
  185.    wt: 5:   9 Why Long Division Works Take II
  186.    wt: 5:   8 Correcting the Mistake
  187.    wt: 5:   7 Long Divison Mistake Catching
  188.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  189.    wt: 5:   5 Long Division Include Zeroes or not
  190.    wt: 5:   4 Division with 2 Digit Divsors
  191.    wt: 5:   3 Division Single Digit Divisor Example
  192.    wt: 5:   2 Division with Single Digit Divisors
  193.    wt: 5:   1 Divsion Physical Examples
  194.    wt: 5:   D Decimal Multiplication Methods Derived
  195.    wt: 5:   C Counting Areas with Powers of Ten
  196.    wt: 5:   B Powers of Ten
  197.    wt: 5:   A Elementary Basis for Multiplication Methods
  198.    wt: 5:   6 Multiplication Commutes Order Not Important
  199.    wt: 5:   5 Decimal Fraction Multiplication
  200.    wt: 5:   3 More One Digit Multipliers
  201.    wt: 5:   2 One Digit Multipliers
  202.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  203.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  204.    wt: 5:   Video Power Notation in Decimal Expansion
  205.    wt: 5:   1 Why 3 times 5 gives 15
  206.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  207.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  208.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  209.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  210.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  211.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  212.    wt: 5:   Formula Evaluation how to show work
  213.    wt: 5:   Expression Evaluation how to show work
  214.    wt: 5:   The 20 Times Table
  215.    wt: 5:   The 12 Times Table Visually
  216.    wt: 5:   About folder contents
  217.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  218.    wt: 4:   PS H Distributive Law For Complex Numbers
  219.    wt: 4:   5 Distributive Law for Whole Numbers
  220.    wt: 4:   1 Whole and Natural Numbers
  221.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  222.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  223.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  224.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  225.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  226.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  227.    wt: 3:   5 An Easy Proof of the Distributive Law
  228.    wt: 3:   23 Distributive Law Two Derivations
  229.    wt: 3:   11 Signed Number Addition and Addition Properties
  230.    wt: 3:   2 Combing Counts Addition Skills and Principles
  231.    wt: 3:   2 More and Less Than for Counts and Measures
  232.    wt: 3:   10 Real Number Lengths and Signs
  233.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  234.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  235.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  236.    wt: 3:   I. Logic and language skills
  237.    wt: 3:   How to Build Skills and Confidence
  238.    wt: 3:   7 Games and Activities for Instruction
  239.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  240.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  241.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  242.    wt: 2:   Ramblings Extrinsic numbers theory
  243.    wt: 2:   2 Reading and Writing Skills
  244.    wt: 2:   Ages 12 to 14 Skills with take home value
  245.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  246.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  247.    wt: 2:   11 Growth and Decay in Biology
  248.    wt: 2:   10 Exponential Growth and Decay Models
  249.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  250.    wt: 2:   5 Natural Logarithm Calculator Exercises
  251.    wt: 2:   1 Polynomials Distributive Law
  252.    wt: 2:   9 Summary Degrees to Radians and back
  253.    wt: 2:   1 Degrees and Radians Introduction
  254.    wt: 2:   Vector and Complex Number Applet
  255.    wt: 2:   Parallel Lines and Parallel Transversals
  256.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  257.    wt: 2:   Parallel Lines and Interior Angles
  258.    wt: 2:   14 cosine even and sine and tangent are odd
  259.    wt: 2:   21 Logarithms Powers and Exponentials
  260.    wt: 2:   20 N th Roots of Complex Numbers
  261.    wt: 2:   16 References and Originality Question
  262.    wt: 2:   14 Law of cosines
  263.    wt: 2:   13 Trig Formulas for dot and cross Products
  264.    wt: 2:   12 cis formulas for sine cosines and tangent
  265.    wt: 2:   11 sine and cosine double triple angle formulas
  266.    wt: 2:   9 The complex number valued trig function cis
  267.    wt: 2:   6 Field Properties of Complex Number
  268.    wt: 2:   2 Complex Numbers made easier we hope
  269.    wt: 2:   Appetizer A Complex Number Applet
  270.    wt: 2:   10 Midpoint of [a b] and [b a]
  271.    wt: 2:   7 Exercises to test skill and concept mastery
  272.    wt: 2:   1 Numerical view of lines and their equations
  273.    wt: 2:   What is and is not here
  274.    wt: 2:   7 Complex Numbers Appetizer
  275.    wt: 2:   6 Polar Multiplication and Rotation
  276.    wt: 2:   5 Cartesian Addition and Translation
  277.    wt: 2:   4 Polar Coordinates to and from
  278.    wt: 2:   16 Angles Subtended By Chords and Diameters
  279.    wt: 2:   6 Ruler and compass Angle Bisection
  280.    wt: 2:   1 Initial Concepts and Terms
  281.    wt: 2:   3 Lengths and Areas on Maps and Plans
  282.    wt: 2:   musings do not puiblish real numbers
  283.    wt: 2:   A Modular and Remainder Arithmetic
  284.    wt: 2:   A Signed Number Arithmetic Review
  285.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  286.    wt: 2:   22 Multiplication of Signed Numbers
  287.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  288.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  289.    wt: 2:   13 Arrows and Vectors in a Plane
  290.    wt: 2:   12 Real Numbers Line Signed Coordinates
  291.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  292.    wt: 2:   8 Division and Mulplication of Compound Fractions
  293.    wt: 2:   B Decimal Comparison and Subtraction
  294.    wt: 2:   4 Commutative Law Groups Counting Form
  295.    wt: 2:   3 Multiplicative Counting Skills Principles
  296.    wt: 2:   1 The Counting Origins of Numbers
  297.    wt: 2:   4 Rates Ratios and Proporitionality
  298.    wt: 2:   6 Equations and Systems Equivalent or Implied
  299.    wt: 2:   4 Subtraction and Division Axioms
  300.    wt: 2:   2 Addition and Multiplication Axioms
  301.    wt: 2:   4 Comparison of Negative Numbers
  302.    wt: 2:   3 More and Less Than with Unlike Signs
  303.    wt: 2:   1 Real Numbers Comparison
  304.    wt: 2:   16 Real Numbers Comparison
  305.    wt: 2:   15 Real Number Division
  306.    wt: 2:   14 Real Number Multiplication
  307.    wt: 2:   13 Real Number Subtraction
  308.    wt: 2:   12 Real Number Additive Inverses or Negatives
  309.    wt: 2:   11 Real Number Addition
  310.    wt: 2:   8 Coordinates for Maps and Planes
  311.    wt: 2:   7 Real Numbers as Line Cordinates
  312.    wt: 2:   6 Unsigned Real Numbers
  313.    wt: 2:   5 Rational Numbers More
  314.    wt: 2:   4 Rational Numbers
  315.    wt: 2:   3 Geometric Formulas and Function Notation
  316.    wt: 2:   1 Formulas Dependence and Function Notation
  317.    wt: 2:   5 Talking about Numbers and Quantities
  318.    wt: 2:   4 A Brief Story of numbers and algebra
  319.    wt: 2:   016 Numbering Occidental Calendar Days
  320.    wt: 2:   015 School and work day counting tables
  321.    wt: 2:   011 Division of Time Intervals By Numbers
  322.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  323.    wt: 2:   4 Mixing and Changing Units of Time
  324.    wt: 2:   3 Units and Lengths of Time
  325.    wt: 2:   2 Time and Date Matters in School
  326.    wt: 2:   1 Intro of Kids To Time Date Skills
  327.    wt: 2:   Example 1. Area Between x and x squared
  328.    wt: 2:   38 Formulas and derivatives for powers and roots
  329.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  330.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  331.    wt: 2:   9 Limits Continuity and Composition
  332.    wt: 2:   5 Jumps and absence of unlimited error control
  333.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  334.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  335.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  336.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  337.    wt: 2:   Appendix E. How To Study Mathematics and Why
  338.    wt: 2:   Appendix D. What to do in School and Why
  339.    wt: 2:   Chapter 31 Direct and Indirect Reason
  340.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  341.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  342.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  343.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  344.    wt: 2:   Chapter 20. Degrees and Radians
  345.    wt: 2:   Chapter 19. Functions and Sets
  346.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  347.    wt: 2:   Chapter 12. Shorthand Usage Guide
  348.    wt: 2:   Chapter 11. Why Shorthand
  349.    wt: 2:   Chapter 10 Describing and Changing Calculations
  350.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  351.    wt: 2:   Chapter 8 Three Skills For Algebra
  352.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  353.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  354.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  355.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  356.    wt: 2:   R Why Learn Mathematics Skills
  357.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  358.    wt: 2:   O On Learning Mathematics and Science
  359.    wt: 2:   L Skills with take home value
  360.    wt: 2:   N Improving Marks on Tests and Finals
  361.    wt: 2:   J. More on written work and showing skill
  362.    wt: 2:   H Jigsaw puzzles and problem solving
  363.    wt: 2:   G. Written work formats for developing and showing skill
  364.    wt: 2:   E. When and how to correct errors
  365.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  366.    wt: 1:   Appendix 1 primary and preschool mathematic
  367.    wt: 1:   G LAMP Introduction Problem Solving Skills
  368.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  369.    wt: 1:   Skills Chapter 5 Calculus
  370.    wt: 1:   Skills Chapter 4 Logic
  371.    wt: 1:   Skills Chapter 3 Algebra
  372.    wt: 1:   Skills Chapter 2 Geometry
  373.    wt: 1:   Skills Chapter 1 Arithmetic
  374.    wt: 1:   Skills Chapter 0 Introduction
  375.    wt: 1:   7 logic review and decimals an odd combination
  376.    wt: 1:   5 logarithms and exponentials etc
  377.    wt: 1:   2 arithmetic with signed numbers
  378.    wt: 1:   1 arithmetic with unsigned numbers
  379.    wt: 1:   key notes and themes
  380.    wt: 1:   what should be learnt and When
  381.    wt: 1:   standards for course material
  382.    wt: 1:   Theory of Knowledge
  383.    wt: 1:   Education in mathematics science and technology
  384.    wt: 1:   Motivation and Context Problem
  385.    wt: 1:   fairness and inductive principles for instruction
  386.    wt: 1:   E Kirchoffs Second Law
  387.    wt: 1:   D Kirchoff First Law
  388.    wt: 1:   Home Tutoring and Home Schooling
  389.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  390.    wt: 1:   24 Standards For Skill Develoment Take II
  391.    wt: 1:   24 Standards For Skill Develoment
  392.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  393.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  394.    wt: 1:   17 Math Booklets for children and young teenagers
  395.    wt: 1:   14 Multiplication and Times Tables
  396.    wt: 1:   13 Addition and Addition Tables
  397.    wt: 1:   12 Goals and Objectives For Mathematics
  398.    wt: 1:   11 Help and Defend Your Child or Teens Education
  399.    wt: 1:   5 Patience Please for Yourself and Your Charges
  400.    wt: 1:   4 Learning Takes Time and Effort
  401.    wt: 1:   1 Speaking Skills
  402.    wt: 1:   Ages 12 to 14 Geometry
  403.    wt: 1:   Ages 12 to 14 Arithmetic
  404.    wt: 1:   Ages 10 to 12 Geometry
  405.    wt: 1:   Ages 10 to 12 Arithmetic
  406.    wt: 1:   Ages 9 to 10
  407.    wt: 1:   Ages 8 to 9
  408.    wt: 1:   Ages 7 to 8
  409.    wt: 1:   Ages 6 to 7
  410.    wt: 1:   Ages 4 plus to 5 plus
  411.    wt: 1:   Ages 3 plus to 4 plus
  412.    wt: 1:   26 Function definitions done and coming
  413.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  414.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  415.    wt: 1:   19 Horizontal line rule and method
  416.    wt: 1:   18 Vertical Line Rule and Method
  417.    wt: 1:   17 Function maxima minima and their location
  418.    wt: 1:   11 Function Domain Range Source and Targets
  419.    wt: 1:   9 Set theory term relation possible origins
  420.    wt: 1:   8 Set view of relations and functions
  421.    wt: 1:   6 Set Existence Formation and Notation
  422.    wt: 1:   4 Function notation in and beyond mathematics
  423.    wt: 1:   9 quadratics physical and further context
  424.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  425.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  426.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  427.    wt: 1:   2 Square Root Simplification a prequel
  428.    wt: 1:   1 Calculator Starter Exercises
  429.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  430.    wt: 1:   16 cotangent function Definition Graph and Inverse
  431.    wt: 1:   15 cosecant function Definition Graph and Inverse
  432.    wt: 1:   14 secant function Definition Graph and Inverse
  433.    wt: 1:   13 cosecant function Definition Graph and Inverse
  434.    wt: 1:   8 Radian Measures of Common Angles
  435.    wt: 1:   7 Radian Measures in special Triangles
  436.    wt: 1:   6 Radian Measure to Degrees
  437.    wt: 1:   5 Degrees to Radian Measure
  438.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  439.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  440.    wt: 1:   2 Radian Measure Numerical Value of one degree
  441.    wt: 1:   A Global Time and Navigation
  442.    wt: 1:   15 Dot and Cross Product
  443.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  444.    wt: 1:   4 graphing y=Asin(x c)
  445.    wt: 1:   3 graphing y=f(x c) plus K
  446.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  447.    wt: 1:   1 graphing y=f(x a)
  448.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  449.    wt: 1:   Triangle Angles Sum To 180 Degrees
  450.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  451.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  452.    wt: 1:   Straight Lines ASA Intersection Study More
  453.    wt: 1:   Straight Lines ASA Intersection Study
  454.    wt: 1:   Straight Lines Instersection Solving Equations
  455.    wt: 1:   Straight Lines Intersection of
  456.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  457.    wt: 1:   C Straight Lines Slope from Coordinates
  458.    wt: 1:   B Straight Line Slope Scaling Properties More
  459.    wt: 1:   A Straight Line Slope Scaling Properties
  460.    wt: 1:   14 Straight Lines Equations General Case
  461.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  462.    wt: 1:   12 Straight Lines Graphing mx plus b
  463.    wt: 1:   11 Straight Lines Graphing y=mx
  464.    wt: 1:   10 Straight Lines through Origin Equations More
  465.    wt: 1:   9 Straight Lines through Origin Equations
  466.    wt: 1:   8 Straight Lines Equation for vertical
  467.    wt: 1:   7 Tangent Function is odd on this domain
  468.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  469.    wt: 1:   5 Tangent Function Graph
  470.    wt: 1:   4 Tangent Function Properties
  471.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  472.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  473.    wt: 1:   1 Straight Lines Slope Concept
  474.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  475.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  476.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  477.    wt: 1:   29 secant cosecant and cotangent for acute angles
  478.    wt: 1:   27 Logarithmic use of products of sines and cosines
  479.    wt: 1:   26 Formulas for products of sines and cosines
  480.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  481.    wt: 1:   21 sine and cosine Half Angle Formulas
  482.    wt: 1:   20 sine and cosine Double Angle Formulas
  483.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  484.    wt: 1:   17F Law of cosines
  485.    wt: 1:   17E Trig Formulas for dot and cross Products
  486.    wt: 1:   17D cis formulas for sine cosines and tangent
  487.    wt: 1:   17C sine and cosine double triple angle formulas
  488.    wt: 1:   17A The complex number valued trig function cis
  489.    wt: 1:   10 Graphs of sines and cosines many periods
  490.    wt: 1:   9 Graphs of sine and cosine over one period
  491.    wt: 1:   7 period of sine and cosine
  492.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  493.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  494.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  495.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  496.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  497.    wt: 1:   19 N th Roots of Unity
  498.    wt: 1:   18 Sixth Roots of Unity
  499.    wt: 1:   17 Cube Roots of unity
  500.    wt: 1:   15 Pythagorean Theorem Converse
  501.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  502.    wt: 1:   8 Unit Circle Development of Trigonometry
  503.    wt: 1:   7 Second Way to Calculate Products
  504.    wt: 1:   4 Multiplication Properties
  505.    wt: 1:   3 Addition Properties
  506.    wt: 1:   1 Rectangular Polar Coordinates Review
  507.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  508.    wt: 1:   3 Trigonometric Ratios sine and cosine
  509.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  510.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  511.    wt: 1:   8 Similarity of Triangles and Polygons
  512.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  513.    wt: 1:   Four Simple Exercises
  514.    wt: 1:   12 Links Lessons elsewhere
  515.    wt: 1:   11 A Partial Summary
  516.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  517.    wt: 1:   8 Mid Point Formula
  518.    wt: 1:   6 Intersection of lines by solving linear systems
  519.    wt: 1:   5 Algebraic View of Slopes
  520.    wt: 1:   4 Equations for lines three forms
  521.    wt: 1:   3 Slope product for perpendicular lines
  522.    wt: 1:   2 point slope equation for a line
  523.    wt: 1:   13 Pythagorean spatial distance formulas
  524.    wt: 1:   12 Spatial Coordinates
  525.    wt: 1:   11 Triangle Inequality
  526.    wt: 1:   10 Pythagorean plane distance formula
  527.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  528.    wt: 1:   8 Distance Between Points on a Line
  529.    wt: 1:   3 Rectangular Coordinates Review
  530.    wt: 1:   2 Cartesian Coordinates with signs
  531.    wt: 1:   1 Cartesian Coordinates sans signs
  532.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  533.    wt: 1:   PS G Rotation Distributes over Addition
  534.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  535.    wt: 1:   PS E Multiplication with Polar Coordinates
  536.    wt: 1:   PS D Addition with Cartesian Coordinates
  537.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  538.    wt: 1:   PS B Parallelogram Construction Methods
  539.    wt: 1:   PS A Kite Construction Methods
  540.    wt: 1:   21 Parallelograms
  541.    wt: 1:   19 Right Triangle Similarity
  542.    wt: 1:   18 Triangle Similarity Take 1
  543.    wt: 1:   17 Right Bisectors of Triangle Sides
  544.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  545.    wt: 1:   14 Parallel Lines Postulate
  546.    wt: 1:   13 Angle Side Angle Failure
  547.    wt: 1:   12 Side Angle Side Failure
  548.    wt: 1:   11 Triangle Construction Fails
  549.    wt: 1:   10 Dropping a perpendicular to line
  550.    wt: 1:   9 Construction of a right bisector
  551.    wt: 1:   8 Isoceles Triangles
  552.    wt: 1:   7 Angle Side Angle
  553.    wt: 1:   5 Side Angle Side
  554.    wt: 1:   4 Side Side Side
  555.    wt: 1:   3 Isometry of Triangles Congruence
  556.    wt: 1:   2 Correspondence between Triangles
  557.    wt: 1:   Short Course on Euclidean Geometry
  558.    wt: 1:   26 More Less Greater Than Comparison
  559.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  560.    wt: 1:   21 Addition of Multiples of a Single Vector
  561.    wt: 1:   19 Signed Multiples of Vectors
  562.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  563.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  564.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  565.    wt: 1:   15 Head to Tails in place Addition Associative
  566.    wt: 1:   9 Division with Digits after Decimal Point
  567.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  568.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  569.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  570.    wt: 1:   4 Location of Point in Decimal Addition
  571.    wt: 1:   3 Location of Point in Decimal Multiplication
  572.    wt: 1:   2 Counting Digits in Decimal Multiplication
  573.    wt: 1:   1 Fractions with Finite Decimal Expansions
  574.    wt: 1:   E Long Division Methods more
  575.    wt: 1:   D Long Division Methods
  576.    wt: 1:   C Three Decimal Subtraction Methods
  577.    wt: 1:   A Decimal Addition Columm Methods
  578.    wt: 1:   8 Column Multiplication Methods in General
  579.    wt: 1:   7 Decimals Multiplication Methods Examples
  580.    wt: 1:   6 Column Methods for Decimal Multiplication
  581.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  582.    wt: 1:   5 Proportionality in Equivalent Fractions
  583.    wt: 1:   3 Proportionality Examples
  584.    wt: 1:   2 Algebraic View
  585.    wt: 1:   1 What is Proportionality
  586.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  587.    wt: 1:   6 Compound Interest Forward and Backwards
  588.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  589.    wt: 1:   5 Equality in Algebra
  590.    wt: 1:   3 Product Axioms Two Forms
  591.    wt: 1:   1 Equivalent Computation Rules
  592.    wt: 1:   5 Greater More Less Than Signs in General
  593.    wt: 1:   9 Coordinates for Regions in Space
  594.    wt: 1:   3 Fractions
  595.    wt: 1:   2 Integers
  596.    wt: 1:   5 Independent versus Dependent Variables
  597.    wt: 1:   4 Changing Letters
  598.    wt: 1:   2 Computation Rules Evaluation
  599.    wt: 1:   3 GE III Equation Addition and Multiplication
  600.    wt: 1:   Skill Development Notes
  601.    wt: 1:   10 One Example
  602.    wt: 1:   9 Three Examples
  603.    wt: 1:   8 One Example
  604.    wt: 1:   7 Two Examples
  605.    wt: 1:   6 Three Examples
  606.    wt: 1:   5 Three Examples
  607.    wt: 1:   4 Two Examples
  608.    wt: 1:   3 Two Examples
  609.    wt: 1:   2 Three Examples
  610.    wt: 1:   1 Written work formats for developing and showing skill
  611.    wt: 1:   9 Sets in Probability and Statistics
  612.    wt: 1:   8 Sets of Numbers
  613.    wt: 1:   1 Three Skills For Algebra
  614.    wt: 1:   014 Counting Days with Calendars
  615.    wt: 1:   013 Travel Time Tables
  616.    wt: 1:   012 Division of Time Intervals by Time Intervals
  617.    wt: 1:   010 Repeated Addition of Time Intervals
  618.    wt: 1:   8 Addition of Time Intervals via subtotaling
  619.    wt: 1:   7 Addition of Time Intervals
  620.    wt: 1:   6 How long is a million seconds
  621.    wt: 1:   5 Conversion Arithmetic
  622.    wt: 1:   Example 2 volume of a cone
  623.    wt: 1:   Example 1 volume of a pyramid
  624.    wt: 1:   Volume of Solid by Cross Sections Lesson
  625.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  626.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  627.    wt: 1:   Example 4 with x function of y
  628.    wt: 1:   Example 3
  629.    wt: 1:   Example 2
  630.    wt: 1:   Example 1
  631.    wt: 1:   Area Between Curves Lesson Take 2
  632.    wt: 1:   Area Between Curves Lesson Take 1
  633.    wt: 1:   Summary
  634.    wt: 1:   17 Derivatives of quotients of sine and cosine
  635.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  636.    wt: 1:   15 sine and cosine derivatives 3rd step
  637.    wt: 1:   14 sine and cosine derivatives 2nd step
  638.    wt: 1:   13 sine and cosine derivatives 1st step
  639.    wt: 1:   11 Limits at infinity Three Examples
  640.    wt: 1:   10 Three one sided limits with infinite values
  641.    wt: 1:   8 Four Animated Examples
  642.    wt: 1:   7 Evaluation by immediate or delayed substitution
  643.    wt: 1:   6 Continuity at a point
  644.    wt: 1:   4 Numerical properties
  645.    wt: 1:   3 Decimal insights for limits continuity convergence
  646.    wt: 1:   2 Algebraic codification
  647.    wt: 1:   1 Numerical introduction
  648.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  649.    wt: 1:   PostScript For and Against Decimal Perspectives
  650.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  651.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  652.    wt: 1:   Chapter 22 Complex Numbers
  653.    wt: 1:   Chapter 12. Units and Slopes
  654.    wt: 1:   Chapter 10 Slopes and Units
  655.    wt: 1:   Chapter 7 Slopes and Velocity
  656.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  657.    wt: 1:   Chapter 2. Slopes and Ski Trails
  658.    wt: 1:   Postscript More on Better Performance
  659.    wt: 1:   Postscript For Better Performance
  660.    wt: 1:   Appendix C. How to Read
  661.    wt: 1:   Appendix B. How To Learn
  662.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  663.    wt: 1:   Chapter 30 Truth Tables
  664.    wt: 1:   Chapter 28 Occurrence Tables
  665.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  666.    wt: 1:   Chapter 25. Mathematical Induction Examples
  667.    wt: 1:   Chapter 23. Notation For Sums
  668.    wt: 1:   Chapter 21. Third Reading Guide
  669.    wt: 1:   Chapter 18. Rules for Algebra
  670.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  671.    wt: 1:   Chapter 16. Painless Theorem Proving
  672.    wt: 1:   Chapter 15. Solving Linear Equations
  673.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  674.    wt: 1:   Chapter 13. Second Reading Guide
  675.    wt: 1:   Postscript What is a Variable
  676.    wt: 1:   Solutions For Arithmetic Exercises
  677.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  678.    wt: 1:   Chapter 6 Change of Language
  679.    wt: 1:   Chapter 4 Longer Chains of Reason
  680.    wt: 1:   Chapter 3 Chains of Reason
  681.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  682.    wt: 1:   Foreword
  683.    wt: 1:   Chapter 2 For and Against Mathematics
  684.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  685.    wt: 1:   Postscript B More on Story Telling and Reason
  686.    wt: 1:   Chapter 24 Direct and Indirect Reason
  687.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  688.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  689.    wt: 1:   Chapter 18 Sense and Knowledge
  690.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  691.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  692.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  693.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  694.    wt: 1:   S Adding words to algebra
  695.    wt: 1:   N Mathematics Prepare for College Studies
  696.    wt: 1:   M Words to extend arithmetic
  697.    wt: 1:   H more Routine to non routine problem solving
  698.    wt: 1:   F. The student teacher tutor feedback loop
  699.    wt: 1:   D. Check work a must with a caution
  700.    wt: 1:   C. Domino effect of being careful
  701.    wt: 1:   B. Domino effect of errors
  702.    wt: 1:   A. Skill has to be seen to believed
  703.    wt: 1:   Chapter 8 Skipped Topics and Why
  704.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  705.    wt: 1:   Chapter 6 More Algebra and Geometry
  706.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  707.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  708.    wt: 1:   Helping the Blind in Logic and Mathematics
  709.    wt: 1:   More Algebra and Slope based Calculus Preview
  710.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  711.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  712.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  713.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  714.    wt: 1:   The Math Forum and Site Content

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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
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Responsibility
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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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