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: 8:   C Decimal Multiplication Methods/
  2.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  3.    wt: 8:   A Decimal Counting and Adding Methods/
  4.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  5.    wt: 7:   D Decimal Long Division Methods/
  6.    wt: 6:   11 Squares and Square Roots/
  7.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  8.    wt: 6:   9 Combinatorics Trees Tables and Products/
  9.    wt: 6:   8 Arithmetic with Signed Numbers/
  10.    wt: 6:   7 Arithmetic and Fractions with Units/
  11.    wt: 6:   6 Fractions and Ratios/
  12.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  13.    wt: 6:   3 Prime Factorization Skills/
  14.    wt: 6:   2 Arithmetic with Decimals/
  15.    wt: 5:   5 Integers/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   A Origins of Counting and Figuring Methods/
  19.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  20.    wt: 1:   Mathematics Skills Year by Year/
  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:   9 Proportionality Backwards and Forwards/
  32.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  33.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  34.    wt: 1:   5 Real Numbers/
  35.    wt: 1:   4 Computation Rules and Function Notation/
  36.    wt: 1:   Step 1 Stick diagram and fractions/
  37.    wt: 1:   Time Date Matters/
  38.    wt: 1:   Skills with take home value/
  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

373 matches:

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

Extended Search

707 matches:

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

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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