Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

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

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

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

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

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

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

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44 matches:

  1.    wt: 9:   6 Fractions and Ratios/
  2.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 7:   7 Arithmetic and Fractions with Units/
  4.    wt: 7:   B Decimal Comparing and Subtracting Methods/
  5.    wt: 7:   A Decimal Counting and Adding 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:   4 Remainder Arithmetic and Divisibility/
  11.    wt: 6:   3 Prime Factorization Skills/
  12.    wt: 6:   D Decimal Long Division Methods/
  13.    wt: 6:   C Decimal Multiplication Methods/
  14.    wt: 5:   5 Integers/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   A Origins of Counting and Figuring Methods/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  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:   6 Trigonometry first steps/
  29.    wt: 1:   4 Lines and Slopes Take 1/
  30.    wt: 1:   3 Cartesian and Polar Coordinates/
  31.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  32.    wt: 1:   B Real Numbers Extrinsic Development/
  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:   Time Date Matters/
  39.    wt: 1:   Skills with take home value/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Volume 2 Three Skills For Algebra/
  43.    wt: 1:   Work and Study Tips/
  44.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

374 matches:

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

Extended Search

714 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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