Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

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

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

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

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

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

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43 matches:

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

Web Page Search

352 matches:

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

Extended Search

710 matches:

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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