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:   7 Axioms Logic and Equivalent Equations/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  20.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  21.    wt: 1:   Mathematics Skills Year by Year/
  22.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  23.    wt: 1:   12 Function Translating and Rescaling/
  24.    wt: 1:   11 Parallel Straight Lines and Transversals/
  25.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 1:   7 Complex Numbers/
  28.    wt: 1:   6 Trigonometry first steps/
  29.    wt: 1:   4 Lines and Slopes Take 1/
  30.    wt: 1:   3 Cartesian and Polar Coordinates/
  31.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  32.    wt: 1:   B Real Numbers Extrinsic Development/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   9 Proportionality Backwards and Forwards/
  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

359 matches:

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

Extended Search

713 matches:

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

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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