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:   D Decimal Long Division Methods/
  11.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 6:   A Decimal Counting and Adding Methods/
  13.    wt: 5:   5 Integers/
  14.    wt: 5:   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:   8 Division and Mulplication of Compound Fractions
  3.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  4.    wt: 3:   B Fractions and Two Term Ratios
  5.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  6.    wt: 3:   9 Improper Fractions and Mixed Numbers
  7.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  8.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  9.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  10.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  11.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  12.    wt: 2:   Ramblings Extrinsic numbers theory
  13.    wt: 2:   2 Reading and Writing Skills
  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:   3 Lengths and Areas on Maps and Plans
  20.    wt: 2:   11 Signed Number Addition and Addition Properties
  21.    wt: 2:   2 Combing Counts Addition Skills and Principles
  22.    wt: 2:   4 Rates Ratios and Proporitionality
  23.    wt: 2:   6 Compound Interest Forward and Backwards
  24.    wt: 2:   4 Subtraction and Division Axioms
  25.    wt: 2:   2 More and Less Than for Counts and Measures
  26.    wt: 2:   15 Real Number Division
  27.    wt: 2:   10 Real Number Lengths and Signs
  28.    wt: 2:   1 Whole and Natural Numbers
  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:   3 Multiplying Units and Numbers
  36.    wt: 2:   22 Complex Compound Fractions
  37.    wt: 2:   21 Reciprocals for Fractions and Wholes
  38.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  39.    wt: 2:   Division with Counts and Length
  40.    wt: 2:   Long Division forwards and backwards Example 3
  41.    wt: 2:   Long Division forwards and backwards Example 2
  42.    wt: 2:   Long Division forwards and backwards Example 1
  43.    wt: 2:   10 Division by Five Long and Short Ways
  44.    wt: 2:   8 What skills and work habits to require
  45.    wt: 2:   6. Counting and adding units and mixed units
  46.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  47.    wt: 2:   Quick history of numbers and algebra
  48.    wt: 2:   Exact Arithmetic Wholes and Fractions
  49.    wt: 2:   011 Division of Time Intervals By Numbers
  50.    wt: 2:   38 Formulas and derivatives for powers and roots
  51.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  52.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  53.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  54.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  55.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  56.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  57.    wt: 2:   I. Logic and language skills
  58.    wt: 2:   How to Build Skills and Confidence
  59.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  60.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  61.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  62.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  63.    wt: 1:   Appendix 1 primary and preschool mathematic
  64.    wt: 1:   G LAMP Introduction Problem Solving Skills
  65.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  66.    wt: 1:   Skills Chapter 5 Calculus
  67.    wt: 1:   Skills Chapter 4 Logic
  68.    wt: 1:   Skills Chapter 3 Algebra
  69.    wt: 1:   Skills Chapter 2 Geometry
  70.    wt: 1:   Skills Chapter 1 Arithmetic
  71.    wt: 1:   Skills Chapter 0 Introduction
  72.    wt: 1:   7 logic review and decimals an odd combination
  73.    wt: 1:   5 logarithms and exponentials etc
  74.    wt: 1:   2 arithmetic with signed numbers
  75.    wt: 1:   1 arithmetic with unsigned numbers
  76.    wt: 1:   key notes and themes
  77.    wt: 1:   what should be learnt and When
  78.    wt: 1:   standards for course material
  79.    wt: 1:   Theory of Knowledge
  80.    wt: 1:   Education in mathematics science and technology
  81.    wt: 1:   Motivation and Context Problem
  82.    wt: 1:   fairness and inductive principles for instruction
  83.    wt: 1:   chapitre 12 00 les iles et division
  84.    wt: 1:   Home Tutoring and Home Schooling
  85.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  86.    wt: 1:   24 Standards For Skill Develoment Take II
  87.    wt: 1:   24 Standards For Skill Develoment
  88.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  89.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  90.    wt: 1:   17 Math Booklets for children and young teenagers
  91.    wt: 1:   14 Multiplication and Times Tables
  92.    wt: 1:   13 Addition and Addition Tables
  93.    wt: 1:   12 Goals and Objectives For Mathematics
  94.    wt: 1:   11 Help and Defend Your Child or Teens Education
  95.    wt: 1:   5 Patience Please for Yourself and Your Charges
  96.    wt: 1:   4 Learning Takes Time and Effort
  97.    wt: 1:   1 Speaking Skills
  98.    wt: 1:   Ages 12 to 14 Skills with take home value
  99.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  100.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  101.    wt: 1:   26 Function definitions done and coming
  102.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  103.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  104.    wt: 1:   19 Horizontal line rule and method
  105.    wt: 1:   18 Vertical Line Rule and Method
  106.    wt: 1:   17 Function maxima minima and their location
  107.    wt: 1:   11 Function Domain Range Source and Targets
  108.    wt: 1:   9 Set theory term relation possible origins
  109.    wt: 1:   8 Set view of relations and functions
  110.    wt: 1:   6 Set Existence Formation and Notation
  111.    wt: 1:   4 Function notation in and beyond mathematics
  112.    wt: 1:   9 quadratics physical and further context
  113.    wt: 1:   11 Growth and Decay in Biology
  114.    wt: 1:   10 Exponential Growth and Decay Models
  115.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  116.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  117.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  118.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  119.    wt: 1:   4 Polynomials Long division linear divisor
  120.    wt: 1:   16 cotangent function Definition Graph and Inverse
  121.    wt: 1:   15 cosecant function Definition Graph and Inverse
  122.    wt: 1:   14 secant function Definition Graph and Inverse
  123.    wt: 1:   13 cosecant function Definition Graph and Inverse
  124.    wt: 1:   9 Summary Degrees to Radians and back
  125.    wt: 1:   1 Degrees and Radians Introduction
  126.    wt: 1:   A Global Time and Navigation
  127.    wt: 1:   15 Dot and Cross Product
  128.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  129.    wt: 1:   Parallel Lines and Parallel Transversals
  130.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  131.    wt: 1:   Parallel Lines and Interior Angles
  132.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  133.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  134.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  135.    wt: 1:   29 secant cosecant and cotangent for acute angles
  136.    wt: 1:   27 Logarithmic use of products of sines and cosines
  137.    wt: 1:   26 Formulas for products of sines and cosines
  138.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  139.    wt: 1:   21 sine and cosine Half Angle Formulas
  140.    wt: 1:   20 sine and cosine Double Angle Formulas
  141.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  142.    wt: 1:   17E Trig Formulas for dot and cross Products
  143.    wt: 1:   17D cis formulas for sine cosines and tangent
  144.    wt: 1:   17C sine and cosine double triple angle formulas
  145.    wt: 1:   17A The complex number valued trig function cis
  146.    wt: 1:   10 Graphs of sines and cosines many periods
  147.    wt: 1:   9 Graphs of sine and cosine over one period
  148.    wt: 1:   7 period of sine and cosine
  149.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  150.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  151.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  152.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  153.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  154.    wt: 1:   21 Logarithms Powers and Exponentials
  155.    wt: 1:   20 N th Roots of Complex Numbers
  156.    wt: 1:   16 References and Originality Question
  157.    wt: 1:   13 Trig Formulas for dot and cross Products
  158.    wt: 1:   12 cis formulas for sine cosines and tangent
  159.    wt: 1:   11 sine and cosine double triple angle formulas
  160.    wt: 1:   9 The complex number valued trig function cis
  161.    wt: 1:   6 Field Properties of Complex Number
  162.    wt: 1:   2 Complex Numbers made easier we hope
  163.    wt: 1:   Appetizer A Complex Number Applet
  164.    wt: 1:   7 Trignometric Ratios Unit Circle
  165.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  166.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  167.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  168.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  169.    wt: 1:   8 Similarity of Triangles and Polygons
  170.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  171.    wt: 1:   10 Midpoint of [a b] and [b a]
  172.    wt: 1:   7 Exercises to test skill and concept mastery
  173.    wt: 1:   1 Numerical view of lines and their equations
  174.    wt: 1:   What is and is not here
  175.    wt: 1:   7 Complex Numbers Appetizer
  176.    wt: 1:   6 Polar Multiplication and Rotation
  177.    wt: 1:   5 Cartesian Addition and Translation
  178.    wt: 1:   4 Polar Coordinates to and from
  179.    wt: 1:   PS H Distributive Law For Complex Numbers
  180.    wt: 1:   16 Angles Subtended By Chords and Diameters
  181.    wt: 1:   6 Ruler and compass Angle Bisection
  182.    wt: 1:   1 Initial Concepts and Terms
  183.    wt: 1:   musings do not puiblish real numbers
  184.    wt: 1:   A Modular and Remainder Arithmetic
  185.    wt: 1:   A Signed Number Arithmetic Review
  186.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  187.    wt: 1:   22 Multiplication of Signed Numbers
  188.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  189.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  190.    wt: 1:   13 Arrows and Vectors in a Plane
  191.    wt: 1:   12 Real Numbers Line Signed Coordinates
  192.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  193.    wt: 1:   9 Division with Digits after Decimal Point
  194.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  195.    wt: 1:   1 Fractions with Finite Decimal Expansions
  196.    wt: 1:   E Long Division Methods more
  197.    wt: 1:   D Long Division Methods
  198.    wt: 1:   B Decimal Comparison and Subtraction
  199.    wt: 1:   5 Distributive Law for Whole Numbers
  200.    wt: 1:   3 Multiplicative Counting Skills Principles
  201.    wt: 1:   1 The Counting Origins of Numbers
  202.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  203.    wt: 1:   5 Proportionality in Equivalent Fractions
  204.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  205.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  206.    wt: 1:   6 Equations and Systems Equivalent or Implied
  207.    wt: 1:   2 Addition and Multiplication Axioms
  208.    wt: 1:   4 Comparison of Negative Numbers
  209.    wt: 1:   3 More and Less Than with Unlike Signs
  210.    wt: 1:   1 Real Numbers Comparison
  211.    wt: 1:   16 Real Numbers Comparison
  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:   8 Compound Interest Formula Evaluation
  226.    wt: 1:   7 Compound Interest Formula Introduction
  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:   1 Addition and Subtraction with Units
  253.    wt: 1:   D Three Term Ratios
  254.    wt: 1:   20 Dividing Fractions the Why
  255.    wt: 1:   19 Dividing Fractions How TO
  256.    wt: 1:   17 Efficient Ways to Add and Subtract
  257.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  258.    wt: 1:   14 Adding and Subtracting with Like Denominators
  259.    wt: 1:   6 Multiplication of Mixed Numbers
  260.    wt: 1:   5 Equivalent Fractions
  261.    wt: 1:   B Integer Long Division Multiple Choices
  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:   11 Remainder Arithmetic Long Division by 5 Quickly more
  268.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  269.    wt: 1:   17 Identify and Count Factors using Primes
  270.    wt: 1:   12 LCD GCD and LCM using Primes
  271.    wt: 1:   7 Calculator Usage Notes and Cautions
  272.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  273.    wt: 1:   5 Prime Factorization and a Square Rule
  274.    wt: 1:   3 video Primes and Composites from 9 times table
  275.    wt: 1:   2 Prime and Composites less than 16
  276.    wt: 1:   Long Division Backwards more
  277.    wt: 1:   Long Division Backward
  278.    wt: 1:   12 Why Long Division Works Take III
  279.    wt: 1:   9 Why Long Division Works Take II
  280.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  281.    wt: 1:   5 Long Division Include Zeroes or not
  282.    wt: 1:   4 Division with 2 Digit Divsors
  283.    wt: 1:   3 Division Single Digit Divisor Example
  284.    wt: 1:   2 Division with Single Digit Divisors
  285.    wt: 1:   4 Two and Three Digit Multipliers
  286.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  287.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  288.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  289.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  290.    wt: 1:   7 Adding decimal fractions using decimal point
  291.    wt: 1:   11 Place Value SI Standard International way
  292.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  293.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  294.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  295.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  296.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  297.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  298.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  299.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  300.    wt: 1:   016 Numbering Occidental Calendar Days
  301.    wt: 1:   015 School and work day counting tables
  302.    wt: 1:   012 Division of Time Intervals by Time Intervals
  303.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  304.    wt: 1:   4 Mixing and Changing Units of Time
  305.    wt: 1:   3 Units and Lengths of Time
  306.    wt: 1:   2 Time and Date Matters in School
  307.    wt: 1:   1 Intro of Kids To Time Date Skills
  308.    wt: 1:   Example 1. Area Between x and x squared
  309.    wt: 1:   17 Derivatives of quotients of sine and cosine
  310.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  311.    wt: 1:   15 sine and cosine derivatives 3rd step
  312.    wt: 1:   14 sine and cosine derivatives 2nd step
  313.    wt: 1:   13 sine and cosine derivatives 1st step
  314.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  315.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  316.    wt: 1:   9 Limits Continuity and Composition
  317.    wt: 1:   5 Jumps and absence of unlimited error control
  318.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  319.    wt: 1:   PostScript For and Against Decimal Perspectives
  320.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  321.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  322.    wt: 1:   Chapter 22 Complex Numbers
  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:   3 Multiplying Units and Numbers
  3.    wt: 9:   21 Working With Signs
  4.    wt: 9:   18 Efficient Ways to Multiply
  5.    wt: 9:   16 Addition Subtraction Comparision Compared
  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:   1 Addition and Subtraction with Units
  27.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  28.    wt: 8:   Division with Counts and Length
  29.    wt: 8:   Long Division forwards and backwards Example 3
  30.    wt: 8:   Long Division forwards and backwards Example 2
  31.    wt: 8:   Long Division forwards and backwards Example 1
  32.    wt: 8:   10 Division by Five Long and Short Ways
  33.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  34.    wt: 8:   8 What skills and work habits to require
  35.    wt: 8:   6. Counting and adding units and mixed units
  36.    wt: 7:   4 Greater More Less Than Signs in General
  37.    wt: 7:   1 Squares and Square Roots Introduction
  38.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  39.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  40.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  41.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  42.    wt: 7:   7 GCD and LCM from prime factorization
  43.    wt: 7:   4 LCM of 8 and 10 via Prime
  44.    wt: 7:   3 Counting with Tables and Trees II
  45.    wt: 7:   2 Counting with Tables and Trees I
  46.    wt: 7:   1 Counting and Counting Methods I
  47.    wt: 7:   10 dividing signed numbers
  48.    wt: 7:   9 subtracting signed numbers
  49.    wt: 7:   8 multiplying signed numbers
  50.    wt: 7:   7 negative and additive inverse
  51.    wt: 7:   6 adding signed numbers
  52.    wt: 7:   3 signed coordinates for maps and planes
  53.    wt: 7:   7 Converting or Changing Units
  54.    wt: 7:   6 Multiplication by Natural Numbers
  55.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  56.    wt: 7:   11 Remainder Arithmetic Long Division by 5 Quickly more
  57.    wt: 7:   10 Remainder Arithmetic Long Division by 5 Quickly
  58.    wt: 7:   17 Identify and Count Factors using Primes
  59.    wt: 7:   12 LCD GCD and LCM using Primes
  60.    wt: 7:   7 Calculator Usage Notes and Cautions
  61.    wt: 7:   5 Prime Factorization and a Square Rule
  62.    wt: 7:   3 video Primes and Composites from 9 times table
  63.    wt: 7:   2 Prime and Composites less than 16
  64.    wt: 7:   Long Division Backwards more
  65.    wt: 7:   Long Division Backward
  66.    wt: 7:   12 Why Long Division Works Take III
  67.    wt: 7:   9 Why Long Division Works Take II
  68.    wt: 7:   5 Long Division Include Zeroes or not
  69.    wt: 7:   4 Division with 2 Digit Divsors
  70.    wt: 7:   3 Division Single Digit Divisor Example
  71.    wt: 7:   2 Division with Single Digit Divisors
  72.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  73.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  74.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  75.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  76.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  77.    wt: 7:   7 Adding decimal fractions using decimal point
  78.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  79.    wt: 7:   Quick history of numbers and algebra
  80.    wt: 7:   Exact Arithmetic Wholes and Fractions
  81.    wt: 6:   5 Square Roots with primes more still
  82.    wt: 6:   4 Square Roots with primes more
  83.    wt: 6:   3 Properties of Square Roots with example
  84.    wt: 6:   2 Square Roots with Prime
  85.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  86.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  87.    wt: 6:   13 GCD from given Prime Factorization
  88.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  89.    wt: 6:   8 GCD from Euclidean Algorithm
  90.    wt: 6:   6 GCD from Prime
  91.    wt: 6:   5 Common Divisors 60 45 via Prime
  92.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  93.    wt: 6:   2 Least Common Multiple LCM intro via list method
  94.    wt: 6:   1 Least Common Multiples LCM Introduction
  95.    wt: 6:   12 GCD 2700 288 via Prime
  96.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  97.    wt: 6:   4 Counting with Trees Product Rule Take I
  98.    wt: 6:   4 signed coordinates for regions in space
  99.    wt: 6:   B Integer Long Division Multiple Choices
  100.    wt: 6:   11 Adding Integers Formulas and Examples
  101.    wt: 6:   8 Multiplication by Signed Numbers Integers
  102.    wt: 6:   5 Zero Movement and Additive Inverses
  103.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  104.    wt: 6:   26 Divisibility by 2 3 5 Example
  105.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  106.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  107.    wt: 6:   23 Remainder Arithmetic Modulo 2
  108.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  109.    wt: 6:   21 Remainder Arithmetic Modulo 3
  110.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  111.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  112.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  113.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  114.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  115.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  116.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  117.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  118.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  119.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  120.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  121.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  122.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  123.    wt: 6:   5 Remainder Arithmetic Modulo 5
  124.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  125.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  126.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  127.    wt: 6:   1 Remainder Arithmetic Modulo 10
  128.    wt: 6:   20 Uniqueness of Prime Factorization
  129.    wt: 6:   19 video Prime Factorization Unique
  130.    wt: 6:   18 video Count Factors given Prime Factorization
  131.    wt: 6:   16 video Factors of 980 using prime
  132.    wt: 6:   15 video Factors of 20 using Prime Factorization
  133.    wt: 6:   14 video Factors of 24 Take II
  134.    wt: 6:   13 video Factors of 24 using prime
  135.    wt: 6:   11 Efficient Square Rule Use
  136.    wt: 6:   10 video Prime Factorization upto 23 squared
  137.    wt: 6:   9 video Prime Factorization upto 19 squared
  138.    wt: 6:   8 video Prime Factorization upto 19
  139.    wt: 6:   4 video Prime Factorization Introduction
  140.    wt: 6:   1 video how Products are bigger than factor
  141.    wt: 6:   11 Another Single Digit Divisor Example
  142.    wt: 6:   8 Correcting the Mistake
  143.    wt: 6:   7 Long Divison Mistake Catching
  144.    wt: 6:   1 Divsion Physical Examples
  145.    wt: 6:   6 Multiplication Commutes Order Not Important
  146.    wt: 6:   4 Two and Three Digit Multipliers
  147.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  148.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  149.    wt: 6:   Subtraction with J Conversions Example
  150.    wt: 6:   Subtraction Another Video Lesson
  151.    wt: 6:   9 22 Minute Subtraction Review Video
  152.    wt: 6:   8 Subtraction with Units of Measure
  153.    wt: 6:   5 A Tip for Efficent Subtraction
  154.    wt: 6:   2 Subtraction Easy Case Examples
  155.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  156.    wt: 6:   5. How to add decimals C. Examples
  157.    wt: 6:   4. How to add with decimals B with conversions
  158.    wt: 6:   3. How to add with decimals A sans conversions
  159.    wt: 6:   2 Decimal Counting Practices
  160.    wt: 6:   1. Explaining Addition Table
  161.    wt: 6:   11 Place Value SI Standard International way
  162.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  163.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  164.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  165.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  166.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  167.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  168.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  169.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  170.    wt: 5:   8 Division and Mulplication of Compound Fractions
  171.    wt: 5:   arithmetic videos Real Player Format
  172.    wt: 5:   D Remainders Modulo 11 Pair Rule
  173.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  174.    wt: 5:   A Associative Law Theorectical Note
  175.    wt: 5:   13 Subtraction with Additive Inverse
  176.    wt: 5:   12 Adding Integers More Examples
  177.    wt: 5:   10 Integer Multiplication Formulas
  178.    wt: 5:   9 Multiplying Integers
  179.    wt: 5:   7 Multiplication by Signs
  180.    wt: 5:   4 Adding Movements wiht opposite directions
  181.    wt: 5:   3 Adding Movements with same direction
  182.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  183.    wt: 5:   1 Integers as Coordinates
  184.    wt: 5:   D Decimal Multiplication Methods Derived
  185.    wt: 5:   C Counting Areas with Powers of Ten
  186.    wt: 5:   B Powers of Ten
  187.    wt: 5:   A Elementary Basis for Multiplication Methods
  188.    wt: 5:   5 Decimal Fraction Multiplication
  189.    wt: 5:   3 More One Digit Multipliers
  190.    wt: 5:   2 One Digit Multipliers
  191.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  192.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  193.    wt: 5:   Video Power Notation in Decimal Expansion
  194.    wt: 5:   1 Why 3 times 5 gives 15
  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:   Chapter 5 Islands and Divisions of Knowledge
  204.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  205.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  206.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  207.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  208.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  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:   6 Ruler and compass Angle Bisection
  215.    wt: 3:   11 Signed Number Addition and Addition Properties
  216.    wt: 3:   2 Combing Counts Addition Skills and Principles
  217.    wt: 3:   4 Rates Ratios and Proporitionality
  218.    wt: 3:   4 Subtraction and Division Axioms
  219.    wt: 3:   2 More and Less Than for Counts and Measures
  220.    wt: 3:   15 Real Number Division
  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:   011 Division of Time Intervals By Numbers
  225.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  226.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  227.    wt: 3:   I. Logic and language skills
  228.    wt: 3:   How to Build Skills and Confidence
  229.    wt: 3:   7 Games and Activities for Instruction
  230.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  231.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  232.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  233.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  234.    wt: 2:   Ramblings Extrinsic numbers theory
  235.    wt: 2:   2 Reading and Writing Skills
  236.    wt: 2:   Ages 12 to 14 Skills with take home value
  237.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  238.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  239.    wt: 2:   9 Summary Degrees to Radians and back
  240.    wt: 2:   1 Degrees and Radians Introduction
  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:   2 Complex Numbers made easier we hope
  254.    wt: 2:   Appetizer A Complex Number Applet
  255.    wt: 2:   7 Trignometric Ratios Unit Circle
  256.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  257.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  258.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  259.    wt: 2:   10 Midpoint of [a b] and [b a]
  260.    wt: 2:   7 Exercises to test skill and concept mastery
  261.    wt: 2:   6 Intersection of lines by solving linear systems
  262.    wt: 2:   1 Numerical view of lines and their equations
  263.    wt: 2:   What is and is not here
  264.    wt: 2:   7 Complex Numbers Appetizer
  265.    wt: 2:   5 Cartesian Addition and Translation
  266.    wt: 2:   4 Polar Coordinates to and from
  267.    wt: 2:   PS H Distributive Law For Complex Numbers
  268.    wt: 2:   16 Angles Subtended By Chords and Diameters
  269.    wt: 2:   1 Initial Concepts and Terms
  270.    wt: 2:   3 Lengths and Areas on Maps and Plans
  271.    wt: 2:   musings do not puiblish real numbers
  272.    wt: 2:   A Modular and Remainder Arithmetic
  273.    wt: 2:   A Signed Number Arithmetic Review
  274.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  275.    wt: 2:   22 Multiplication of Signed Numbers
  276.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  277.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  278.    wt: 2:   13 Arrows and Vectors in a Plane
  279.    wt: 2:   12 Real Numbers Line Signed Coordinates
  280.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  281.    wt: 2:   9 Division with Digits after Decimal Point
  282.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  283.    wt: 2:   1 Fractions with Finite Decimal Expansions
  284.    wt: 2:   E Long Division Methods more
  285.    wt: 2:   D Long Division Methods
  286.    wt: 2:   B Decimal Comparison and Subtraction
  287.    wt: 2:   6 Column Methods for Decimal Multiplication
  288.    wt: 2:   5 Distributive Law for Whole Numbers
  289.    wt: 2:   3 Multiplicative Counting Skills Principles
  290.    wt: 2:   1 The Counting Origins of Numbers
  291.    wt: 2:   5 Proportionality in Equivalent Fractions
  292.    wt: 2:   6 Compound Interest Forward and Backwards
  293.    wt: 2:   6 Equations and Systems Equivalent or Implied
  294.    wt: 2:   2 Addition and Multiplication Axioms
  295.    wt: 2:   4 Comparison of Negative Numbers
  296.    wt: 2:   3 More and Less Than with Unlike Signs
  297.    wt: 2:   1 Real Numbers Comparison
  298.    wt: 2:   16 Real Numbers Comparison
  299.    wt: 2:   14 Real Number Multiplication
  300.    wt: 2:   13 Real Number Subtraction
  301.    wt: 2:   12 Real Number Additive Inverses or Negatives
  302.    wt: 2:   11 Real Number Addition
  303.    wt: 2:   8 Coordinates for Maps and Planes
  304.    wt: 2:   7 Real Numbers as Line Cordinates
  305.    wt: 2:   6 Unsigned Real Numbers
  306.    wt: 2:   5 Rational Numbers More
  307.    wt: 2:   4 Rational Numbers
  308.    wt: 2:   3 Fractions
  309.    wt: 2:   3 Geometric Formulas and Function Notation
  310.    wt: 2:   1 Formulas Dependence and Function Notation
  311.    wt: 2:   Skill Development Notes
  312.    wt: 2:   10 One Example
  313.    wt: 2:   9 Three Examples
  314.    wt: 2:   8 One Example
  315.    wt: 2:   7 Two Examples
  316.    wt: 2:   5 Three Examples
  317.    wt: 2:   4 Two Examples
  318.    wt: 2:   3 Two Examples
  319.    wt: 2:   2 Three Examples
  320.    wt: 2:   5 Talking about Numbers and Quantities
  321.    wt: 2:   4 A Brief Story of numbers and algebra
  322.    wt: 2:   016 Numbering Occidental Calendar Days
  323.    wt: 2:   015 School and work day counting tables
  324.    wt: 2:   012 Division of Time Intervals by Time Intervals
  325.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  326.    wt: 2:   4 Mixing and Changing Units of Time
  327.    wt: 2:   3 Units and Lengths of Time
  328.    wt: 2:   2 Time and Date Matters in School
  329.    wt: 2:   1 Intro of Kids To Time Date Skills
  330.    wt: 2:   Example 1. Area Between x and x squared
  331.    wt: 2:   38 Formulas and derivatives for powers and roots
  332.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  333.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  334.    wt: 2:   9 Limits Continuity and Composition
  335.    wt: 2:   5 Jumps and absence of unlimited error control
  336.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  337.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  338.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  339.    wt: 2:   Appendix E. How To Study Mathematics and Why
  340.    wt: 2:   Appendix D. What to do in School and Why
  341.    wt: 2:   Chapter 31 Direct and Indirect Reason
  342.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  343.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  344.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  345.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  346.    wt: 2:   Chapter 20. Degrees and Radians
  347.    wt: 2:   Chapter 19. Functions and Sets
  348.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  349.    wt: 2:   Chapter 12. Shorthand Usage Guide
  350.    wt: 2:   Chapter 11. Why Shorthand
  351.    wt: 2:   Chapter 10 Describing and Changing Calculations
  352.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  353.    wt: 2:   Chapter 8 Three Skills For Algebra
  354.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  355.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  356.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  357.    wt: 2:   R Why Learn Mathematics Skills
  358.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  359.    wt: 2:   O On Learning Mathematics and Science
  360.    wt: 2:   L Skills with take home value
  361.    wt: 2:   N Improving Marks on Tests and Finals
  362.    wt: 2:   J. More on written work and showing skill
  363.    wt: 2:   H Jigsaw puzzles and problem solving
  364.    wt: 2:   G. Written work formats for developing and showing skill
  365.    wt: 2:   E. When and how to correct errors
  366.    wt: 1:   Appendix 1 primary and preschool mathematic
  367.    wt: 1:   G LAMP Introduction Problem Solving Skills
  368.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  369.    wt: 1:   Skills Chapter 5 Calculus
  370.    wt: 1:   Skills Chapter 4 Logic
  371.    wt: 1:   Skills Chapter 3 Algebra
  372.    wt: 1:   Skills Chapter 2 Geometry
  373.    wt: 1:   Skills Chapter 1 Arithmetic
  374.    wt: 1:   Skills Chapter 0 Introduction
  375.    wt: 1:   7 logic review and decimals an odd combination
  376.    wt: 1:   5 logarithms and exponentials etc
  377.    wt: 1:   2 arithmetic with signed numbers
  378.    wt: 1:   1 arithmetic with unsigned numbers
  379.    wt: 1:   key notes and themes
  380.    wt: 1:   what should be learnt and When
  381.    wt: 1:   standards for course material
  382.    wt: 1:   Theory of Knowledge
  383.    wt: 1:   Education in mathematics science and technology
  384.    wt: 1:   Motivation and Context Problem
  385.    wt: 1:   fairness and inductive principles for instruction
  386.    wt: 1:   chapitre 12 00 les iles et division
  387.    wt: 1:   Home Tutoring and Home Schooling
  388.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  389.    wt: 1:   24 Standards For Skill Develoment Take II
  390.    wt: 1:   24 Standards For Skill Develoment
  391.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  392.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  393.    wt: 1:   17 Math Booklets for children and young teenagers
  394.    wt: 1:   14 Multiplication and Times Tables
  395.    wt: 1:   13 Addition and Addition Tables
  396.    wt: 1:   12 Goals and Objectives For Mathematics
  397.    wt: 1:   11 Help and Defend Your Child or Teens Education
  398.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  399.    wt: 1:   5 Patience Please for Yourself and Your Charges
  400.    wt: 1:   4 Learning Takes Time and Effort
  401.    wt: 1:   1 Speaking Skills
  402.    wt: 1:   Ages 12 to 14 Geometry
  403.    wt: 1:   Ages 12 to 14 Arithmetic
  404.    wt: 1:   Ages 10 to 12 Geometry
  405.    wt: 1:   Ages 10 to 12 Arithmetic
  406.    wt: 1:   Ages 9 to 10
  407.    wt: 1:   Ages 8 to 9
  408.    wt: 1:   Ages 7 to 8
  409.    wt: 1:   Ages 6 to 7
  410.    wt: 1:   Ages 4 plus to 5 plus
  411.    wt: 1:   Ages 3 plus to 4 plus
  412.    wt: 1:   26 Function definitions done and coming
  413.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  414.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  415.    wt: 1:   19 Horizontal line rule and method
  416.    wt: 1:   18 Vertical Line Rule and Method
  417.    wt: 1:   17 Function maxima minima and their location
  418.    wt: 1:   11 Function Domain Range Source and Targets
  419.    wt: 1:   9 Set theory term relation possible origins
  420.    wt: 1:   8 Set view of relations and functions
  421.    wt: 1:   6 Set Existence Formation and Notation
  422.    wt: 1:   4 Function notation in and beyond mathematics
  423.    wt: 1:   9 quadratics physical and further context
  424.    wt: 1:   11 Growth and Decay in Biology
  425.    wt: 1:   10 Exponential Growth and Decay Models
  426.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  427.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  428.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  429.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  430.    wt: 1:   4 Polynomials Long division linear divisor
  431.    wt: 1:   16 cotangent function Definition Graph and Inverse
  432.    wt: 1:   15 cosecant function Definition Graph and Inverse
  433.    wt: 1:   14 secant function Definition Graph and Inverse
  434.    wt: 1:   13 cosecant function Definition Graph and Inverse
  435.    wt: 1:   8 Radian Measures of Common Angles
  436.    wt: 1:   7 Radian Measures in special Triangles
  437.    wt: 1:   6 Radian Measure to Degrees
  438.    wt: 1:   5 Degrees to Radian Measure
  439.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  440.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  441.    wt: 1:   2 Radian Measure Numerical Value of one degree
  442.    wt: 1:   A Global Time and Navigation
  443.    wt: 1:   15 Dot and Cross Product
  444.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  445.    wt: 1:   4 graphing y=Asin(x c)
  446.    wt: 1:   3 graphing y=f(x c) plus K
  447.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  448.    wt: 1:   1 graphing y=f(x a)
  449.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  450.    wt: 1:   Triangle Angles Sum To 180 Degrees
  451.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  452.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  453.    wt: 1:   Straight Lines ASA Intersection Study More
  454.    wt: 1:   Straight Lines ASA Intersection Study
  455.    wt: 1:   Straight Lines Instersection Solving Equations
  456.    wt: 1:   Straight Lines Intersection of
  457.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  458.    wt: 1:   C Straight Lines Slope from Coordinates
  459.    wt: 1:   B Straight Line Slope Scaling Properties More
  460.    wt: 1:   A Straight Line Slope Scaling Properties
  461.    wt: 1:   14 Straight Lines Equations General Case
  462.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  463.    wt: 1:   12 Straight Lines Graphing mx plus b
  464.    wt: 1:   11 Straight Lines Graphing y=mx
  465.    wt: 1:   10 Straight Lines through Origin Equations More
  466.    wt: 1:   9 Straight Lines through Origin Equations
  467.    wt: 1:   8 Straight Lines Equation for vertical
  468.    wt: 1:   7 Tangent Function is odd on this domain
  469.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  470.    wt: 1:   5 Tangent Function Graph
  471.    wt: 1:   4 Tangent Function Properties
  472.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  473.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  474.    wt: 1:   1 Straight Lines Slope Concept
  475.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  476.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  477.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  478.    wt: 1:   29 secant cosecant and cotangent for acute angles
  479.    wt: 1:   27 Logarithmic use of products of sines and cosines
  480.    wt: 1:   26 Formulas for products of sines and cosines
  481.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  482.    wt: 1:   21 sine and cosine Half Angle Formulas
  483.    wt: 1:   20 sine and cosine Double Angle Formulas
  484.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  485.    wt: 1:   17E Trig Formulas for dot and cross Products
  486.    wt: 1:   17D cis formulas for sine cosines and tangent
  487.    wt: 1:   17C sine and cosine double triple angle formulas
  488.    wt: 1:   17A The complex number valued trig function cis
  489.    wt: 1:   10 Graphs of sines and cosines many periods
  490.    wt: 1:   9 Graphs of sine and cosine over one period
  491.    wt: 1:   7 period of sine and cosine
  492.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  493.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  494.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  495.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  496.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  497.    wt: 1:   19 N th Roots of Unity
  498.    wt: 1:   18 Sixth Roots of Unity
  499.    wt: 1:   17 Cube Roots of unity
  500.    wt: 1:   15 Pythagorean Theorem Converse
  501.    wt: 1:   14 Law of cosines
  502.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  503.    wt: 1:   8 Unit Circle Development of Trigonometry
  504.    wt: 1:   7 Second Way to Calculate Products
  505.    wt: 1:   5 An Easy Proof of the Distributive Law
  506.    wt: 1:   4 Multiplication Properties
  507.    wt: 1:   3 Addition Properties
  508.    wt: 1:   1 Rectangular Polar Coordinates Review
  509.    wt: 1:   8 Triangles Cascade Problem Solving
  510.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  511.    wt: 1:   1 Angle Measurement with Degrees
  512.    wt: 1:   Why Trigonometry the whyslopes view
  513.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  514.    wt: 1:   8 Similarity of Triangles and Polygons
  515.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  516.    wt: 1:   Four Simple Exercises
  517.    wt: 1:   12 Links Lessons elsewhere
  518.    wt: 1:   11 A Partial Summary
  519.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  520.    wt: 1:   8 Mid Point Formula
  521.    wt: 1:   5 Algebraic View of Slopes
  522.    wt: 1:   4 Equations for lines three forms
  523.    wt: 1:   3 Slope product for perpendicular lines
  524.    wt: 1:   2 point slope equation for a line
  525.    wt: 1:   13 Pythagorean spatial distance formulas
  526.    wt: 1:   12 Spatial Coordinates
  527.    wt: 1:   11 Triangle Inequality
  528.    wt: 1:   10 Pythagorean plane distance formula
  529.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  530.    wt: 1:   8 Distance Between Points on a Line
  531.    wt: 1:   3 Rectangular Coordinates Review
  532.    wt: 1:   2 Cartesian Coordinates with signs
  533.    wt: 1:   1 Cartesian Coordinates sans signs
  534.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  535.    wt: 1:   PS G Rotation Distributes over Addition
  536.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  537.    wt: 1:   PS E Multiplication with Polar Coordinates
  538.    wt: 1:   PS D Addition with Cartesian Coordinates
  539.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  540.    wt: 1:   PS B Parallelogram Construction Methods
  541.    wt: 1:   PS A Kite Construction Methods
  542.    wt: 1:   21 Parallelograms
  543.    wt: 1:   19 Right Triangle Similarity
  544.    wt: 1:   18 Triangle Similarity Take 1
  545.    wt: 1:   17 Right Bisectors of Triangle Sides
  546.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  547.    wt: 1:   14 Parallel Lines Postulate
  548.    wt: 1:   13 Angle Side Angle Failure
  549.    wt: 1:   12 Side Angle Side Failure
  550.    wt: 1:   11 Triangle Construction Fails
  551.    wt: 1:   10 Dropping a perpendicular to line
  552.    wt: 1:   9 Construction of a right bisector
  553.    wt: 1:   8 Isoceles Triangles
  554.    wt: 1:   7 Angle Side Angle
  555.    wt: 1:   5 Side Angle Side
  556.    wt: 1:   4 Side Side Side
  557.    wt: 1:   3 Isometry of Triangles Congruence
  558.    wt: 1:   2 Correspondence between Triangles
  559.    wt: 1:   Short Course on Euclidean Geometry
  560.    wt: 1:   26 More Less Greater Than Comparison
  561.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  562.    wt: 1:   23 Distributive Law Two Derivations
  563.    wt: 1:   21 Addition of Multiples of a Single Vector
  564.    wt: 1:   19 Signed Multiples of Vectors
  565.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  566.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  567.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  568.    wt: 1:   15 Head to Tails in place Addition Associative
  569.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  570.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  571.    wt: 1:   4 Location of Point in Decimal Addition
  572.    wt: 1:   3 Location of Point in Decimal Multiplication
  573.    wt: 1:   2 Counting Digits in Decimal Multiplication
  574.    wt: 1:   C Three Decimal Subtraction Methods
  575.    wt: 1:   A Decimal Addition Columm Methods
  576.    wt: 1:   8 Column Multiplication Methods in General
  577.    wt: 1:   7 Decimals Multiplication Methods Examples
  578.    wt: 1:   4 Commutative Law Groups Counting Form
  579.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  580.    wt: 1:   3 Proportionality Examples
  581.    wt: 1:   2 Algebraic View
  582.    wt: 1:   1 What is Proportionality
  583.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  584.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  585.    wt: 1:   5 Equality in Algebra
  586.    wt: 1:   3 Product Axioms Two Forms
  587.    wt: 1:   1 Equivalent Computation Rules
  588.    wt: 1:   5 Greater More Less Than Signs in General
  589.    wt: 1:   9 Coordinates for Regions in Space
  590.    wt: 1:   2 Integers
  591.    wt: 1:   5 Independent versus Dependent Variables
  592.    wt: 1:   4 Changing Letters
  593.    wt: 1:   2 Computation Rules Evaluation
  594.    wt: 1:   3 GE III Equation Addition and Multiplication
  595.    wt: 1:   6 Algebraic Solution Example
  596.    wt: 1:   8 Compound Interest Formula Evaluation
  597.    wt: 1:   7 Compound Interest Formula Introduction
  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:   010 Repeated Addition of Time Intervals
  605.    wt: 1:   8 Addition of Time Intervals via subtotaling
  606.    wt: 1:   7 Addition of Time Intervals
  607.    wt: 1:   6 How long is a million seconds
  608.    wt: 1:   5 Conversion Arithmetic
  609.    wt: 1:   Example 2 volume of a cone
  610.    wt: 1:   Example 1 volume of a pyramid
  611.    wt: 1:   Volume of Solid by Cross Sections Lesson
  612.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  613.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  614.    wt: 1:   Example 4 with x function of y
  615.    wt: 1:   Example 3
  616.    wt: 1:   Example 2
  617.    wt: 1:   Example 1
  618.    wt: 1:   Area Between Curves Lesson Take 2
  619.    wt: 1:   Area Between Curves Lesson Take 1
  620.    wt: 1:   Summary
  621.    wt: 1:   17 Derivatives of quotients of sine and cosine
  622.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  623.    wt: 1:   15 sine and cosine derivatives 3rd step
  624.    wt: 1:   14 sine and cosine derivatives 2nd step
  625.    wt: 1:   13 sine and cosine derivatives 1st step
  626.    wt: 1:   11 Limits at infinity Three Examples
  627.    wt: 1:   10 Three one sided limits with infinite values
  628.    wt: 1:   8 Four Animated Examples
  629.    wt: 1:   7 Evaluation by immediate or delayed substitution
  630.    wt: 1:   6 Continuity at a point
  631.    wt: 1:   4 Numerical properties
  632.    wt: 1:   3 Decimal insights for limits continuity convergence
  633.    wt: 1:   2 Algebraic codification
  634.    wt: 1:   1 Numerical introduction
  635.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  636.    wt: 1:   PostScript For and Against Decimal Perspectives
  637.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  638.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  639.    wt: 1:   Chapter 22 Complex Numbers
  640.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  641.    wt: 1:   Chapter 12. Units and Slopes
  642.    wt: 1:   Chapter 10 Slopes and Units
  643.    wt: 1:   Chapter 7 Slopes and Velocity
  644.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  645.    wt: 1:   Chapter 2. Slopes and Ski Trails
  646.    wt: 1:   Postscript More on Better Performance
  647.    wt: 1:   Postscript For Better Performance
  648.    wt: 1:   Appendix C. How to Read
  649.    wt: 1:   Appendix B. How To Learn
  650.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  651.    wt: 1:   Chapter 30 Truth Tables
  652.    wt: 1:   Chapter 28 Occurrence Tables
  653.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  654.    wt: 1:   Chapter 25. Mathematical Induction Examples
  655.    wt: 1:   Chapter 23. Notation For Sums
  656.    wt: 1:   Chapter 21. Third Reading Guide
  657.    wt: 1:   Chapter 18. Rules for Algebra
  658.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  659.    wt: 1:   Chapter 16. Painless Theorem Proving
  660.    wt: 1:   Chapter 15. Solving Linear Equations
  661.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  662.    wt: 1:   Chapter 13. Second Reading Guide
  663.    wt: 1:   Postscript What is a Variable
  664.    wt: 1:   Solutions For Arithmetic Exercises
  665.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  666.    wt: 1:   Chapter 6 Change of Language
  667.    wt: 1:   Chapter 4 Longer Chains of Reason
  668.    wt: 1:   Chapter 3 Chains of Reason
  669.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  670.    wt: 1:   Foreword
  671.    wt: 1:   Chapter 2 For and Against Mathematics
  672.    wt: 1:   Postscript B More on Story Telling and Reason
  673.    wt: 1:   Chapter 24 Direct and Indirect Reason
  674.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  675.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  676.    wt: 1:   Chapter 18 Sense and Knowledge
  677.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  678.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  679.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  680.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  681.    wt: 1:   S Adding words to algebra
  682.    wt: 1:   N Mathematics Prepare for College Studies
  683.    wt: 1:   M Words to extend arithmetic
  684.    wt: 1:   H more Routine to non routine problem solving
  685.    wt: 1:   F. The student teacher tutor feedback loop
  686.    wt: 1:   D. Check work a must with a caution
  687.    wt: 1:   C. Domino effect of being careful
  688.    wt: 1:   B. Domino effect of errors
  689.    wt: 1:   A. Skill has to be seen to believed
  690.    wt: 1:   Chapter 8 Skipped Topics and Why
  691.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  692.    wt: 1:   Chapter 6 More Algebra and Geometry
  693.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  694.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  695.    wt: 1:   Helping the Blind in Logic and Mathematics
  696.    wt: 1:   More Algebra and Slope based Calculus Preview
  697.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  698.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  699.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  700.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  701.    wt: 1:   The Math Forum and Site Content
  702.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  703.    wt: 12:   B Fractions and Two Term Ratios
  704.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  705.    wt: 12:   9 Improper Fractions and Mixed Numbers
  706.    wt: 11:   22 Complex Compound Fractions
  707.    wt: 11:   21 Reciprocals for Fractions and Wholes
  708.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  709.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  710.    wt: 10:   D Three Term Ratios
  711.    wt: 10:   20 Dividing Fractions the Why
  712.    wt: 10:   19 Dividing Fractions How TO
  713.    wt: 10:   17 Efficient Ways to Add and Subtract
  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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