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

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

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

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

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

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

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

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

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44 matches:

  1.    wt: 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: 6:   11 Squares and Square Roots/
  5.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  6.    wt: 6:   9 Combinatorics Trees Tables and Products/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   Step 1 Stick diagram and fractions/
  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:   6 Trigonometry first steps/
  28.    wt: 1:   4 Lines and Slopes Take 1/
  29.    wt: 1:   3 Cartesian and Polar Coordinates/
  30.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  31.    wt: 1:   B Real Numbers Extrinsic Development/
  32.    wt: 1:   A Origins of Counting and Figuring Methods/
  33.    wt: 1:   9 Proportionality Backwards and Forwards/
  34.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  35.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  36.    wt: 1:   5 Real Numbers/
  37.    wt: 1:   4 Computation Rules and Function Notation/
  38.    wt: 1:   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

378 matches:

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

Extended Search

717 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:   1 Addition and Subtraction with Units
  5.    wt: 9:   21 Working With Signs
  6.    wt: 9:   13 Fraction Comparison Algebraic View
  7.    wt: 9:   12 Fraction Comparison
  8.    wt: 9:   11 Simplification an Algebraic View
  9.    wt: 9:   8 Numerals Fractionals Quantals Take II
  10.    wt: 9:   7 Numerals Fractionals Quantals
  11.    wt: 9:   6 Multiplication Algebraically Take II
  12.    wt: 9:   4 Fraction Multiplication
  13.    wt: 9:   3 Unit fraction of a fraction
  14.    wt: 9:   2 Unit Fraction Multiplication
  15.    wt: 9:   1 What is a fraction Take II
  16.    wt: 9:   1 What is a fraction
  17.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  18.    wt: 8:   3 Comparison of Negative Numbers
  19.    wt: 8:   2 More and Less Than with Unlike Signs
  20.    wt: 8:   11 What are real lengths and numbers
  21.    wt: 8:   5 lengths and signs of numbers
  22.    wt: 8:   2 signed and unsigned numbers as coordinates
  23.    wt: 8:   6 Simplification of Fractions with Units
  24.    wt: 8:   4 Fractions with Units
  25.    wt: 8:   2 Equality and Units
  26.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  27.    wt: 8:   8 What skills and work habits to require
  28.    wt: 8:   6. Counting and adding units and mixed units
  29.    wt: 7:   4 Greater More Less Than Signs in General
  30.    wt: 7:   1 Squares and Square Roots Introduction
  31.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  32.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  33.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  34.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  35.    wt: 7:   7 GCD and LCM from prime factorization
  36.    wt: 7:   4 LCM of 8 and 10 via Prime
  37.    wt: 7:   3 Counting with Tables and Trees II
  38.    wt: 7:   2 Counting with Tables and Trees I
  39.    wt: 7:   1 Counting and Counting Methods I
  40.    wt: 7:   10 dividing signed numbers
  41.    wt: 7:   9 subtracting signed numbers
  42.    wt: 7:   8 multiplying signed numbers
  43.    wt: 7:   7 negative and additive inverse
  44.    wt: 7:   6 adding signed numbers
  45.    wt: 7:   3 signed coordinates for maps and planes
  46.    wt: 7:   7 Converting or Changing Units
  47.    wt: 7:   6 Multiplication by Natural Numbers
  48.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  49.    wt: 7:   17 Identify and Count Factors using Primes
  50.    wt: 7:   12 LCD GCD and LCM using Primes
  51.    wt: 7:   11 Efficient Square Rule Use
  52.    wt: 7:   7 Calculator Usage Notes and Cautions
  53.    wt: 7:   5 Prime Factorization and a Square Rule
  54.    wt: 7:   3 video Primes and Composites from 9 times table
  55.    wt: 7:   2 Prime and Composites less than 16
  56.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  57.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  58.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  59.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  60.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  61.    wt: 7:   7 Adding decimal fractions using decimal point
  62.    wt: 7:   1. Explaining Addition Table
  63.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  64.    wt: 7:   Quick history of numbers and algebra
  65.    wt: 7:   Exact Arithmetic Wholes and Fractions
  66.    wt: 6:   5 Square Roots with primes more still
  67.    wt: 6:   4 Square Roots with primes more
  68.    wt: 6:   3 Properties of Square Roots with example
  69.    wt: 6:   2 Square Roots with Prime
  70.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  71.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  72.    wt: 6:   13 GCD from given Prime Factorization
  73.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  74.    wt: 6:   8 GCD from Euclidean Algorithm
  75.    wt: 6:   6 GCD from Prime
  76.    wt: 6:   5 Common Divisors 60 45 via Prime
  77.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  78.    wt: 6:   2 Least Common Multiple LCM intro via list method
  79.    wt: 6:   1 Least Common Multiples LCM Introduction
  80.    wt: 6:   12 GCD 2700 288 via Prime
  81.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  82.    wt: 6:   4 Counting with Trees Product Rule Take I
  83.    wt: 6:   4 signed coordinates for regions in space
  84.    wt: 6:   11 Adding Integers Formulas and Examples
  85.    wt: 6:   8 Multiplication by Signed Numbers Integers
  86.    wt: 6:   5 Zero Movement and Additive Inverses
  87.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  88.    wt: 6:   26 Divisibility by 2 3 5 Example
  89.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  90.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  91.    wt: 6:   23 Remainder Arithmetic Modulo 2
  92.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  93.    wt: 6:   21 Remainder Arithmetic Modulo 3
  94.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  95.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  96.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  97.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  98.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  99.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  100.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  101.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  102.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  103.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  104.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  105.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  106.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  107.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  108.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  109.    wt: 6:   5 Remainder Arithmetic Modulo 5
  110.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  111.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  112.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  113.    wt: 6:   1 Remainder Arithmetic Modulo 10
  114.    wt: 6:   20 Uniqueness of Prime Factorization
  115.    wt: 6:   19 video Prime Factorization Unique
  116.    wt: 6:   18 video Count Factors given Prime Factorization
  117.    wt: 6:   16 video Factors of 980 using prime
  118.    wt: 6:   15 video Factors of 20 using Prime Factorization
  119.    wt: 6:   14 video Factors of 24 Take II
  120.    wt: 6:   13 video Factors of 24 using prime
  121.    wt: 6:   10 video Prime Factorization upto 23 squared
  122.    wt: 6:   9 video Prime Factorization upto 19 squared
  123.    wt: 6:   8 video Prime Factorization upto 19
  124.    wt: 6:   4 video Prime Factorization Introduction
  125.    wt: 6:   1 video how Products are bigger than factor
  126.    wt: 6:   Division with Counts and Length
  127.    wt: 6:   Long Division forwards and backwards Example 3
  128.    wt: 6:   Long Division forwards and backwards Example 2
  129.    wt: 6:   Long Division forwards and backwards Example 1
  130.    wt: 6:   10 Division by Five Long and Short Ways
  131.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  132.    wt: 6:   6 Multiplication Commutes Order Not Important
  133.    wt: 6:   4 Two and Three Digit Multipliers
  134.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  135.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  136.    wt: 6:   Subtraction with J Conversions Example
  137.    wt: 6:   Subtraction Another Video Lesson
  138.    wt: 6:   9 22 Minute Subtraction Review Video
  139.    wt: 6:   8 Subtraction with Units of Measure
  140.    wt: 6:   5 A Tip for Efficent Subtraction
  141.    wt: 6:   2 Subtraction Easy Case Examples
  142.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  143.    wt: 6:   5. How to add decimals C. Examples
  144.    wt: 6:   4. How to add with decimals B with conversions
  145.    wt: 6:   3. How to add with decimals A sans conversions
  146.    wt: 6:   2 Decimal Counting Practices
  147.    wt: 6:   11 Place Value SI Standard International way
  148.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  149.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  150.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  151.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  152.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  153.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  154.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  155.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  156.    wt: 5:   11 Signed Number Addition and Addition Properties
  157.    wt: 5:   arithmetic videos Real Player Format
  158.    wt: 5:   D Remainders Modulo 11 Pair Rule
  159.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  160.    wt: 5:   B Integer Long Division Multiple Choices
  161.    wt: 5:   A Associative Law Theorectical Note
  162.    wt: 5:   13 Subtraction with Additive Inverse
  163.    wt: 5:   12 Adding Integers More Examples
  164.    wt: 5:   10 Integer Multiplication Formulas
  165.    wt: 5:   9 Multiplying Integers
  166.    wt: 5:   7 Multiplication by Signs
  167.    wt: 5:   4 Adding Movements wiht opposite directions
  168.    wt: 5:   3 Adding Movements with same direction
  169.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  170.    wt: 5:   1 Integers as Coordinates
  171.    wt: 5:   Long Division Backwards more
  172.    wt: 5:   Long Division Backward
  173.    wt: 5:   12 Why Long Division Works Take III
  174.    wt: 5:   11 Another Single Digit Divisor Example
  175.    wt: 5:   9 Why Long Division Works Take II
  176.    wt: 5:   8 Correcting the Mistake
  177.    wt: 5:   7 Long Divison Mistake Catching
  178.    wt: 5:   5 Long Division Include Zeroes or not
  179.    wt: 5:   4 Division with 2 Digit Divsors
  180.    wt: 5:   3 Division Single Digit Divisor Example
  181.    wt: 5:   2 Division with Single Digit Divisors
  182.    wt: 5:   1 Divsion Physical Examples
  183.    wt: 5:   D Decimal Multiplication Methods Derived
  184.    wt: 5:   C Counting Areas with Powers of Ten
  185.    wt: 5:   B Powers of Ten
  186.    wt: 5:   A Elementary Basis for Multiplication Methods
  187.    wt: 5:   5 Decimal Fraction Multiplication
  188.    wt: 5:   3 More One Digit Multipliers
  189.    wt: 5:   2 One Digit Multipliers
  190.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  191.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  192.    wt: 5:   Video Power Notation in Decimal Expansion
  193.    wt: 5:   1 Why 3 times 5 gives 15
  194.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  195.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  196.    wt: 5:   Formula Evaluation how to show work
  197.    wt: 5:   Expression Evaluation how to show work
  198.    wt: 5:   The 20 Times Table
  199.    wt: 5:   The 12 Times Table Visually
  200.    wt: 5:   About folder contents
  201.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  202.    wt: 4:   2 Combing Counts Addition Skills and Principles
  203.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  204.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  205.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  206.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  207.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  208.    wt: 3:   13 Addition and Addition Tables
  209.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  210.    wt: 3:   6 Field Properties of Complex Number
  211.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  212.    wt: 3:   3 Trigonometric Ratios sine and cosine
  213.    wt: 3:   6 Polar Multiplication and Rotation
  214.    wt: 3:   5 Cartesian Addition and Translation
  215.    wt: 3:   6 Ruler and compass Angle Bisection
  216.    wt: 3:   8 Division and Mulplication of Compound Fractions
  217.    wt: 3:   4 Rates Ratios and Proporitionality
  218.    wt: 3:   2 Addition and Multiplication Axioms
  219.    wt: 3:   2 More and Less Than for Counts and Measures
  220.    wt: 3:   11 Real Number Addition
  221.    wt: 3:   10 Real Number Lengths and Signs
  222.    wt: 3:   1 Whole and Natural Numbers
  223.    wt: 3:   6 Three Examples
  224.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  225.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  226.    wt: 3:   I. Logic and language skills
  227.    wt: 3:   How to Build Skills and Confidence
  228.    wt: 3:   7 Games and Activities for Instruction
  229.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  230.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  231.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  232.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  233.    wt: 2:   Ramblings Extrinsic numbers theory
  234.    wt: 2:   2 Reading and Writing Skills
  235.    wt: 2:   Ages 12 to 14 Skills with take home value
  236.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  237.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  238.    wt: 2:   9 Summary Degrees to Radians and back
  239.    wt: 2:   1 Degrees and Radians Introduction
  240.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  241.    wt: 2:   Vector and Complex Number Applet
  242.    wt: 2:   Parallel Lines and Parallel Transversals
  243.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  244.    wt: 2:   Parallel Lines and Interior Angles
  245.    wt: 2:   14 cosine even and sine and tangent are odd
  246.    wt: 2:   21 Logarithms Powers and Exponentials
  247.    wt: 2:   20 N th Roots of Complex Numbers
  248.    wt: 2:   16 References and Originality Question
  249.    wt: 2:   13 Trig Formulas for dot and cross Products
  250.    wt: 2:   12 cis formulas for sine cosines and tangent
  251.    wt: 2:   11 sine and cosine double triple angle formulas
  252.    wt: 2:   9 The complex number valued trig function cis
  253.    wt: 2:   3 Addition Properties
  254.    wt: 2:   2 Complex Numbers made easier we hope
  255.    wt: 2:   Appetizer A Complex Number Applet
  256.    wt: 2:   7 Trignometric Ratios Unit Circle
  257.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  258.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  259.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  260.    wt: 2:   10 Midpoint of [a b] and [b a]
  261.    wt: 2:   7 Exercises to test skill and concept mastery
  262.    wt: 2:   6 Intersection of lines by solving linear systems
  263.    wt: 2:   1 Numerical view of lines and their equations
  264.    wt: 2:   What is and is not here
  265.    wt: 2:   7 Complex Numbers Appetizer
  266.    wt: 2:   4 Polar Coordinates to and from
  267.    wt: 2:   PS H Distributive Law For Complex Numbers
  268.    wt: 2:   PS G Rotation Distributes over Addition
  269.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  270.    wt: 2:   PS D Addition with Cartesian Coordinates
  271.    wt: 2:   16 Angles Subtended By Chords and Diameters
  272.    wt: 2:   1 Initial Concepts and Terms
  273.    wt: 2:   3 Lengths and Areas on Maps and Plans
  274.    wt: 2:   musings do not puiblish real numbers
  275.    wt: 2:   A Modular and Remainder Arithmetic
  276.    wt: 2:   A Signed Number Arithmetic Review
  277.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  278.    wt: 2:   22 Multiplication of Signed Numbers
  279.    wt: 2:   21 Addition of Multiples of a Single Vector
  280.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  281.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  282.    wt: 2:   15 Head to Tails in place Addition Associative
  283.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  284.    wt: 2:   13 Arrows and Vectors in a Plane
  285.    wt: 2:   12 Real Numbers Line Signed Coordinates
  286.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  287.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  288.    wt: 2:   4 Location of Point in Decimal Addition
  289.    wt: 2:   1 Fractions with Finite Decimal Expansions
  290.    wt: 2:   B Decimal Comparison and Subtraction
  291.    wt: 2:   A Decimal Addition Columm Methods
  292.    wt: 2:   6 Column Methods for Decimal Multiplication
  293.    wt: 2:   5 Distributive Law for Whole Numbers
  294.    wt: 2:   3 Multiplicative Counting Skills Principles
  295.    wt: 2:   1 The Counting Origins of Numbers
  296.    wt: 2:   5 Proportionality in Equivalent Fractions
  297.    wt: 2:   6 Equations and Systems Equivalent or Implied
  298.    wt: 2:   4 Subtraction and Division 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:   8 Coordinates for Maps and Planes
  308.    wt: 2:   7 Real Numbers as Line Cordinates
  309.    wt: 2:   6 Unsigned Real Numbers
  310.    wt: 2:   5 Rational Numbers More
  311.    wt: 2:   4 Rational Numbers
  312.    wt: 2:   3 Fractions
  313.    wt: 2:   3 Geometric Formulas and Function Notation
  314.    wt: 2:   1 Formulas Dependence and Function Notation
  315.    wt: 2:   3 GE III Equation Addition and Multiplication
  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:   010 Repeated Addition of Time Intervals
  331.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  332.    wt: 2:   8 Addition of Time Intervals via subtotaling
  333.    wt: 2:   7 Addition of Time Intervals
  334.    wt: 2:   4 Mixing and Changing Units of Time
  335.    wt: 2:   3 Units and Lengths of Time
  336.    wt: 2:   2 Time and Date Matters in School
  337.    wt: 2:   1 Intro of Kids To Time Date Skills
  338.    wt: 2:   Example 1. Area Between x and x squared
  339.    wt: 2:   38 Formulas and derivatives for powers and roots
  340.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  341.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  342.    wt: 2:   9 Limits Continuity and Composition
  343.    wt: 2:   5 Jumps and absence of unlimited error control
  344.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  345.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  346.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  347.    wt: 2:   Appendix E. How To Study Mathematics and Why
  348.    wt: 2:   Appendix D. What to do in School and Why
  349.    wt: 2:   Chapter 31 Direct and Indirect Reason
  350.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  351.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  352.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  353.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  354.    wt: 2:   Chapter 20. Degrees and Radians
  355.    wt: 2:   Chapter 19. Functions and Sets
  356.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  357.    wt: 2:   Chapter 12. Shorthand Usage Guide
  358.    wt: 2:   Chapter 11. Why Shorthand
  359.    wt: 2:   Chapter 10 Describing and Changing Calculations
  360.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  361.    wt: 2:   Chapter 8 Three Skills For Algebra
  362.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  363.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  364.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  365.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  366.    wt: 2:   R Why Learn Mathematics Skills
  367.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  368.    wt: 2:   O On Learning Mathematics and Science
  369.    wt: 2:   L Skills with take home value
  370.    wt: 2:   N Improving Marks on Tests and Finals
  371.    wt: 2:   J. More on written work and showing skill
  372.    wt: 2:   H Jigsaw puzzles and problem solving
  373.    wt: 2:   G. Written work formats for developing and showing skill
  374.    wt: 2:   E. When and how to correct errors
  375.    wt: 1:   Appendix 1 primary and preschool mathematic
  376.    wt: 1:   G LAMP Introduction Problem Solving Skills
  377.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  378.    wt: 1:   Skills Chapter 5 Calculus
  379.    wt: 1:   Skills Chapter 4 Logic
  380.    wt: 1:   Skills Chapter 3 Algebra
  381.    wt: 1:   Skills Chapter 2 Geometry
  382.    wt: 1:   Skills Chapter 1 Arithmetic
  383.    wt: 1:   Skills Chapter 0 Introduction
  384.    wt: 1:   7 logic review and decimals an odd combination
  385.    wt: 1:   5 logarithms and exponentials etc
  386.    wt: 1:   2 arithmetic with signed numbers
  387.    wt: 1:   1 arithmetic with unsigned numbers
  388.    wt: 1:   key notes and themes
  389.    wt: 1:   what should be learnt and When
  390.    wt: 1:   standards for course material
  391.    wt: 1:   Theory of Knowledge
  392.    wt: 1:   Education in mathematics science and technology
  393.    wt: 1:   Motivation and Context Problem
  394.    wt: 1:   fairness and inductive principles for instruction
  395.    wt: 1:   Home Tutoring and Home Schooling
  396.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  397.    wt: 1:   24 Standards For Skill Develoment Take II
  398.    wt: 1:   24 Standards For Skill Develoment
  399.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  400.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  401.    wt: 1:   17 Math Booklets for children and young teenagers
  402.    wt: 1:   14 Multiplication and Times Tables
  403.    wt: 1:   12 Goals and Objectives For Mathematics
  404.    wt: 1:   11 Help and Defend Your Child or Teens Education
  405.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  406.    wt: 1:   5 Patience Please for Yourself and Your Charges
  407.    wt: 1:   4 Learning Takes Time and Effort
  408.    wt: 1:   1 Speaking Skills
  409.    wt: 1:   Ages 12 to 14 Geometry
  410.    wt: 1:   Ages 12 to 14 Arithmetic
  411.    wt: 1:   Ages 10 to 12 Geometry
  412.    wt: 1:   Ages 10 to 12 Arithmetic
  413.    wt: 1:   Ages 9 to 10
  414.    wt: 1:   Ages 8 to 9
  415.    wt: 1:   Ages 7 to 8
  416.    wt: 1:   Ages 6 to 7
  417.    wt: 1:   Ages 4 plus to 5 plus
  418.    wt: 1:   Ages 3 plus to 4 plus
  419.    wt: 1:   26 Function definitions done and coming
  420.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  421.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  422.    wt: 1:   19 Horizontal line rule and method
  423.    wt: 1:   18 Vertical Line Rule and Method
  424.    wt: 1:   17 Function maxima minima and their location
  425.    wt: 1:   11 Function Domain Range Source and Targets
  426.    wt: 1:   9 Set theory term relation possible origins
  427.    wt: 1:   8 Set view of relations and functions
  428.    wt: 1:   6 Set Existence Formation and Notation
  429.    wt: 1:   4 Function notation in and beyond mathematics
  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:   3 Polynomials Multiplication Addition
  437.    wt: 1:   16 cotangent function Definition Graph and Inverse
  438.    wt: 1:   15 cosecant function Definition Graph and Inverse
  439.    wt: 1:   14 secant function Definition Graph and Inverse
  440.    wt: 1:   13 cosecant function Definition Graph and Inverse
  441.    wt: 1:   8 Radian Measures of Common Angles
  442.    wt: 1:   7 Radian Measures in special Triangles
  443.    wt: 1:   6 Radian Measure to Degrees
  444.    wt: 1:   5 Degrees to Radian Measure
  445.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  446.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  447.    wt: 1:   2 Radian Measure Numerical Value of one degree
  448.    wt: 1:   A Global Time and Navigation
  449.    wt: 1:   15 Dot and Cross Product
  450.    wt: 1:   10 Parallelogram Addition Method
  451.    wt: 1:   5 Head To Tail Arrow Addition
  452.    wt: 1:   4 graphing y=Asin(x c)
  453.    wt: 1:   3 graphing y=f(x c) plus K
  454.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  455.    wt: 1:   1 graphing y=f(x a)
  456.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  457.    wt: 1:   Triangle Angles Sum To 180 Degrees
  458.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  459.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  460.    wt: 1:   Straight Lines ASA Intersection Study More
  461.    wt: 1:   Straight Lines ASA Intersection Study
  462.    wt: 1:   Straight Lines Instersection Solving Equations
  463.    wt: 1:   Straight Lines Intersection of
  464.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  465.    wt: 1:   C Straight Lines Slope from Coordinates
  466.    wt: 1:   B Straight Line Slope Scaling Properties More
  467.    wt: 1:   A Straight Line Slope Scaling Properties
  468.    wt: 1:   14 Straight Lines Equations General Case
  469.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  470.    wt: 1:   12 Straight Lines Graphing mx plus b
  471.    wt: 1:   11 Straight Lines Graphing y=mx
  472.    wt: 1:   10 Straight Lines through Origin Equations More
  473.    wt: 1:   9 Straight Lines through Origin Equations
  474.    wt: 1:   8 Straight Lines Equation for vertical
  475.    wt: 1:   7 Tangent Function is odd on this domain
  476.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  477.    wt: 1:   5 Tangent Function Graph
  478.    wt: 1:   4 Tangent Function Properties
  479.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  480.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  481.    wt: 1:   1 Straight Lines Slope Concept
  482.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  483.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  484.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  485.    wt: 1:   29 secant cosecant and cotangent for acute angles
  486.    wt: 1:   27 Logarithmic use of products of sines and cosines
  487.    wt: 1:   26 Formulas for products of sines and cosines
  488.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  489.    wt: 1:   21 sine and cosine Half Angle Formulas
  490.    wt: 1:   20 sine and cosine Double Angle Formulas
  491.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  492.    wt: 1:   17E Trig Formulas for dot and cross Products
  493.    wt: 1:   17D cis formulas for sine cosines and tangent
  494.    wt: 1:   17C sine and cosine double triple angle formulas
  495.    wt: 1:   17A The complex number valued trig function cis
  496.    wt: 1:   10 Graphs of sines and cosines many periods
  497.    wt: 1:   9 Graphs of sine and cosine over one period
  498.    wt: 1:   7 period of sine and cosine
  499.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  500.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  501.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  502.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  503.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  504.    wt: 1:   19 N th Roots of Unity
  505.    wt: 1:   18 Sixth Roots of Unity
  506.    wt: 1:   17 Cube Roots of unity
  507.    wt: 1:   15 Pythagorean Theorem Converse
  508.    wt: 1:   14 Law of cosines
  509.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  510.    wt: 1:   8 Unit Circle Development of Trigonometry
  511.    wt: 1:   7 Second Way to Calculate Products
  512.    wt: 1:   5 An Easy Proof of the Distributive Law
  513.    wt: 1:   4 Multiplication Properties
  514.    wt: 1:   1 Rectangular Polar Coordinates Review
  515.    wt: 1:   8 Triangles Cascade Problem Solving
  516.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  517.    wt: 1:   1 Angle Measurement with Degrees
  518.    wt: 1:   Why Trigonometry the whyslopes view
  519.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  520.    wt: 1:   8 Similarity of Triangles and Polygons
  521.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  522.    wt: 1:   Four Simple Exercises
  523.    wt: 1:   12 Links Lessons elsewhere
  524.    wt: 1:   11 A Partial Summary
  525.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  526.    wt: 1:   8 Mid Point Formula
  527.    wt: 1:   5 Algebraic View of Slopes
  528.    wt: 1:   4 Equations for lines three forms
  529.    wt: 1:   3 Slope product for perpendicular lines
  530.    wt: 1:   2 point slope equation for a line
  531.    wt: 1:   13 Pythagorean spatial distance formulas
  532.    wt: 1:   12 Spatial Coordinates
  533.    wt: 1:   11 Triangle Inequality
  534.    wt: 1:   10 Pythagorean plane distance formula
  535.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  536.    wt: 1:   8 Distance Between Points on a Line
  537.    wt: 1:   3 Rectangular Coordinates Review
  538.    wt: 1:   2 Cartesian Coordinates with signs
  539.    wt: 1:   1 Cartesian Coordinates sans signs
  540.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  541.    wt: 1:   PS E Multiplication with Polar Coordinates
  542.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  543.    wt: 1:   PS B Parallelogram Construction Methods
  544.    wt: 1:   PS A Kite Construction Methods
  545.    wt: 1:   21 Parallelograms
  546.    wt: 1:   19 Right Triangle Similarity
  547.    wt: 1:   18 Triangle Similarity Take 1
  548.    wt: 1:   17 Right Bisectors of Triangle Sides
  549.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  550.    wt: 1:   14 Parallel Lines Postulate
  551.    wt: 1:   13 Angle Side Angle Failure
  552.    wt: 1:   12 Side Angle Side Failure
  553.    wt: 1:   11 Triangle Construction Fails
  554.    wt: 1:   10 Dropping a perpendicular to line
  555.    wt: 1:   9 Construction of a right bisector
  556.    wt: 1:   8 Isoceles Triangles
  557.    wt: 1:   7 Angle Side Angle
  558.    wt: 1:   5 Side Angle Side
  559.    wt: 1:   4 Side Side Side
  560.    wt: 1:   3 Isometry of Triangles Congruence
  561.    wt: 1:   2 Correspondence between Triangles
  562.    wt: 1:   Short Course on Euclidean Geometry
  563.    wt: 1:   26 More Less Greater Than Comparison
  564.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  565.    wt: 1:   23 Distributive Law Two Derivations
  566.    wt: 1:   19 Signed Multiples of Vectors
  567.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  568.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  569.    wt: 1:   9 Division with Digits after Decimal Point
  570.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  571.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  572.    wt: 1:   3 Location of Point in Decimal Multiplication
  573.    wt: 1:   2 Counting Digits in Decimal Multiplication
  574.    wt: 1:   E Long Division Methods more
  575.    wt: 1:   D Long Division Methods
  576.    wt: 1:   C Three Decimal Subtraction Methods
  577.    wt: 1:   8 Column Multiplication Methods in General
  578.    wt: 1:   7 Decimals Multiplication Methods Examples
  579.    wt: 1:   4 Commutative Law Groups Counting Form
  580.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  581.    wt: 1:   3 Proportionality Examples
  582.    wt: 1:   2 Algebraic View
  583.    wt: 1:   1 What is Proportionality
  584.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  585.    wt: 1:   6 Compound Interest Forward and Backwards
  586.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  587.    wt: 1:   5 Equality in Algebra
  588.    wt: 1:   3 Product Axioms Two Forms
  589.    wt: 1:   1 Equivalent Computation Rules
  590.    wt: 1:   5 Greater More Less Than Signs in General
  591.    wt: 1:   9 Coordinates for Regions in Space
  592.    wt: 1:   2 Integers
  593.    wt: 1:   5 Independent versus Dependent Variables
  594.    wt: 1:   4 Changing Letters
  595.    wt: 1:   2 Computation Rules Evaluation
  596.    wt: 1:   6 Algebraic Solution Example
  597.    wt: 1:   4 Four Examples Fractional Coefficients
  598.    wt: 1:   1 Written work formats for developing and showing skill
  599.    wt: 1:   9 Sets in Probability and Statistics
  600.    wt: 1:   8 Sets of Numbers
  601.    wt: 1:   1 Three Skills For Algebra
  602.    wt: 1:   014 Counting Days with Calendars
  603.    wt: 1:   013 Travel Time Tables
  604.    wt: 1:   012 Division of Time Intervals by 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:   Summary
  619.    wt: 1:   17 Derivatives of quotients of sine and cosine
  620.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  621.    wt: 1:   15 sine and cosine derivatives 3rd step
  622.    wt: 1:   14 sine and cosine derivatives 2nd step
  623.    wt: 1:   13 sine and cosine derivatives 1st step
  624.    wt: 1:   11 Limits at infinity Three Examples
  625.    wt: 1:   10 Three one sided limits with infinite values
  626.    wt: 1:   8 Four Animated Examples
  627.    wt: 1:   7 Evaluation by immediate or delayed substitution
  628.    wt: 1:   6 Continuity at a point
  629.    wt: 1:   4 Numerical properties
  630.    wt: 1:   3 Decimal insights for limits continuity convergence
  631.    wt: 1:   2 Algebraic codification
  632.    wt: 1:   1 Numerical introduction
  633.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  634.    wt: 1:   PostScript For and Against Decimal Perspectives
  635.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  636.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  637.    wt: 1:   Chapter 22 Complex Numbers
  638.    wt: 1:   Chapter 21 Arrow Addition
  639.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  640.    wt: 1:   Chapter 12. Units and Slopes
  641.    wt: 1:   Chapter 10 Slopes and Units
  642.    wt: 1:   Chapter 7 Slopes and Velocity
  643.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  644.    wt: 1:   Chapter 2. Slopes and Ski Trails
  645.    wt: 1:   Postscript More on Better Performance
  646.    wt: 1:   Postscript For Better Performance
  647.    wt: 1:   Appendix C. How to Read
  648.    wt: 1:   Appendix B. How To Learn
  649.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  650.    wt: 1:   Chapter 30 Truth Tables
  651.    wt: 1:   Chapter 28 Occurrence Tables
  652.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  653.    wt: 1:   Chapter 25. Mathematical Induction Examples
  654.    wt: 1:   Chapter 23. Notation For Sums
  655.    wt: 1:   Chapter 21. Third Reading Guide
  656.    wt: 1:   Chapter 18. Rules for Algebra
  657.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  658.    wt: 1:   Chapter 16. Painless Theorem Proving
  659.    wt: 1:   Chapter 15. Solving Linear Equations
  660.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  661.    wt: 1:   Chapter 13. Second Reading Guide
  662.    wt: 1:   Postscript What is a Variable
  663.    wt: 1:   Solutions For Arithmetic Exercises
  664.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  665.    wt: 1:   Chapter 6 Change of Language
  666.    wt: 1:   Chapter 4 Longer Chains of Reason
  667.    wt: 1:   Chapter 3 Chains of Reason
  668.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  669.    wt: 1:   Foreword
  670.    wt: 1:   Chapter 2 For and Against Mathematics
  671.    wt: 1:   Postscript B More on Story Telling and Reason
  672.    wt: 1:   Chapter 24 Direct and Indirect Reason
  673.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  674.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  675.    wt: 1:   Chapter 18 Sense and Knowledge
  676.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  677.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  678.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  679.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  680.    wt: 1:   S Adding words to algebra
  681.    wt: 1:   N Mathematics Prepare for College Studies
  682.    wt: 1:   M Words to extend arithmetic
  683.    wt: 1:   H more Routine to non routine problem solving
  684.    wt: 1:   F. The student teacher tutor feedback loop
  685.    wt: 1:   D. Check work a must with a caution
  686.    wt: 1:   C. Domino effect of being careful
  687.    wt: 1:   B. Domino effect of errors
  688.    wt: 1:   A. Skill has to be seen to believed
  689.    wt: 1:   Chapter 8 Skipped Topics and Why
  690.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  691.    wt: 1:   Chapter 6 More Algebra and Geometry
  692.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  693.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  694.    wt: 1:   Helping the Blind in Logic and Mathematics
  695.    wt: 1:   More Algebra and Slope based Calculus Preview
  696.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  697.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  698.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  699.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  700.    wt: 1:   The Math Forum and Site Content
  701.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  702.    wt: 12:   B Fractions and Two Term Ratios
  703.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  704.    wt: 12:   9 Improper Fractions and Mixed Numbers
  705.    wt: 11:   21 Reciprocals for Fractions and Wholes
  706.    wt: 11:   17 Efficient Ways to Add and Subtract
  707.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  708.    wt: 10:   D Three Term Ratios
  709.    wt: 10:   22 Complex Compound Fractions
  710.    wt: 10:   20 Dividing Fractions the Why
  711.    wt: 10:   19 Dividing Fractions How TO
  712.    wt: 10:   18 Efficient Ways to Multiply
  713.    wt: 10:   16 Addition Subtraction Comparision Compared
  714.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  715.    wt: 10:   14 Adding and Subtracting with Like Denominators
  716.    wt: 10:   6 Multiplication of Mixed Numbers
  717.    wt: 10:   5 Equivalent Fractions

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicylce?

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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Logic-Reason for all
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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