Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

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

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

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

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

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

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43 matches:

  1.    wt: 8:   D Decimal Long Division Methods/
  2.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 7:   B Decimal Comparing and Subtracting Methods/
  4.    wt: 7:   A Decimal Counting and Adding Methods/
  5.    wt: 6:   11 Squares and Square Roots/
  6.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 6:   9 Combinatorics Trees Tables and Products/
  8.    wt: 6:   8 Arithmetic with Signed Numbers/
  9.    wt: 6:   7 Arithmetic and Fractions with Units/
  10.    wt: 6:   6 Fractions and Ratios/
  11.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 6:   3 Prime Factorization Skills/
  13.    wt: 6:   C Decimal Multiplication Methods/
  14.    wt: 6:   2 Arithmetic with Decimals/
  15.    wt: 5:   5 Integers/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  21.    wt: 1:   12 Function Translating and Rescaling/
  22.    wt: 1:   11 Parallel Straight Lines and Transversals/
  23.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  24.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  25.    wt: 1:   7 Complex Numbers/
  26.    wt: 1:   4 Lines and Slopes Take 1/
  27.    wt: 1:   3 Cartesian and Polar Coordinates/
  28.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  29.    wt: 1:   B Real Numbers Extrinsic Development/
  30.    wt: 1:   A Origins of Counting and Figuring Methods/
  31.    wt: 1:   9 Proportionality Backwards and Forwards/
  32.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  33.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  34.    wt: 1:   5 Real Numbers/
  35.    wt: 1:   4 Computation Rules and Function Notation/
  36.    wt: 1:   Step 1 Stick diagram and fractions/
  37.    wt: 1:   Time Date Matters/
  38.    wt: 1:   Skills with take home value/
  39.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  40.    wt: 1:   13 Lessons on Limits and Continuity/
  41.    wt: 1:   Volume 2 Three Skills For Algebra/
  42.    wt: 1:   Work and Study Tips/
  43.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

367 matches:

  1.    wt: 3:   Long Division forwards and backwards Example 3
  2.    wt: 3:   Long Division forwards and backwards Example 2
  3.    wt: 3:   Long Division forwards and backwards Example 1
  4.    wt: 3:   10 Division by Five Long and Short Ways
  5.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  6.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  7.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  8.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  9.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  10.    wt: 2:   Ramblings Extrinsic numbers theory
  11.    wt: 2:   7 logic review and decimals an odd combination
  12.    wt: 2:   2 Reading and Writing Skills
  13.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  14.    wt: 2:   4 Polynomials Long division linear divisor
  15.    wt: 2:   Vector and Complex Number Applet
  16.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  17.    wt: 2:   14 cosine even and sine and tangent are odd
  18.    wt: 2:   3 Lengths and Areas on Maps and Plans
  19.    wt: 2:   11 Signed Number Addition and Addition Properties
  20.    wt: 2:   8 Division and Mulplication of Compound Fractions
  21.    wt: 2:   E Long Division Methods more
  22.    wt: 2:   D Long Division Methods
  23.    wt: 2:   2 Combing Counts Addition Skills and Principles
  24.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  25.    wt: 2:   4 Subtraction and Division Axioms
  26.    wt: 2:   2 More and Less Than for Counts and Measures
  27.    wt: 2:   15 Real Number Division
  28.    wt: 2:   10 Real Number Lengths and Signs
  29.    wt: 2:   1 Whole and Natural Numbers
  30.    wt: 2:   5 Talking about Numbers and Quantities
  31.    wt: 2:   4 A Brief Story of numbers and algebra
  32.    wt: 2:   1 More and Less Than for Counts and Measures
  33.    wt: 2:   11 What are real lengths and numbers
  34.    wt: 2:   5 lengths and signs of numbers
  35.    wt: 2:   2 signed and unsigned numbers as coordinates
  36.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  37.    wt: 2:   3 Multiplying Units and Numbers
  38.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  39.    wt: 2:   9 Improper Fractions and Mixed Numbers
  40.    wt: 2:   B Integer Long Division Multiple Choices
  41.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  42.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  43.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  44.    wt: 2:   Long Division Backwards more
  45.    wt: 2:   Long Division Backward
  46.    wt: 2:   Division with Counts and Length
  47.    wt: 2:   12 Why Long Division Works Take III
  48.    wt: 2:   9 Why Long Division Works Take II
  49.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  50.    wt: 2:   5 Long Division Include Zeroes or not
  51.    wt: 2:   8 What skills and work habits to require
  52.    wt: 2:   6. Counting and adding units and mixed units
  53.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  54.    wt: 2:   Quick history of numbers and algebra
  55.    wt: 2:   011 Division of Time Intervals By Numbers
  56.    wt: 2:   38 Formulas and derivatives for powers and roots
  57.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  58.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  59.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  60.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  61.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  62.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  63.    wt: 2:   I. Logic and language skills
  64.    wt: 2:   How to Build Skills and Confidence
  65.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  66.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  67.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  68.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  69.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  70.    wt: 1:   Appendix 1 primary and preschool mathematic
  71.    wt: 1:   G LAMP Introduction Problem Solving Skills
  72.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  73.    wt: 1:   Skills Chapter 5 Calculus
  74.    wt: 1:   Skills Chapter 4 Logic
  75.    wt: 1:   Skills Chapter 3 Algebra
  76.    wt: 1:   Skills Chapter 2 Geometry
  77.    wt: 1:   Skills Chapter 1 Arithmetic
  78.    wt: 1:   Skills Chapter 0 Introduction
  79.    wt: 1:   5 logarithms and exponentials etc
  80.    wt: 1:   2 arithmetic with signed numbers
  81.    wt: 1:   1 arithmetic with unsigned numbers
  82.    wt: 1:   key notes and themes
  83.    wt: 1:   what should be learnt and When
  84.    wt: 1:   standards for course material
  85.    wt: 1:   Theory of Knowledge
  86.    wt: 1:   Education in mathematics science and technology
  87.    wt: 1:   Motivation and Context Problem
  88.    wt: 1:   fairness and inductive principles for instruction
  89.    wt: 1:   chapitre 12 00 les iles et division
  90.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  91.    wt: 1:   Home Tutoring and Home Schooling
  92.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  93.    wt: 1:   24 Standards For Skill Develoment Take II
  94.    wt: 1:   24 Standards For Skill Develoment
  95.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  96.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  97.    wt: 1:   17 Math Booklets for children and young teenagers
  98.    wt: 1:   14 Multiplication and Times Tables
  99.    wt: 1:   13 Addition and Addition Tables
  100.    wt: 1:   12 Goals and Objectives For Mathematics
  101.    wt: 1:   11 Help and Defend Your Child or Teens Education
  102.    wt: 1:   5 Patience Please for Yourself and Your Charges
  103.    wt: 1:   4 Learning Takes Time and Effort
  104.    wt: 1:   1 Speaking Skills
  105.    wt: 1:   Ages 12 to 14 Skills with take home value
  106.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  107.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  108.    wt: 1:   26 Function definitions done and coming
  109.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  110.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  111.    wt: 1:   19 Horizontal line rule and method
  112.    wt: 1:   18 Vertical Line Rule and Method
  113.    wt: 1:   17 Function maxima minima and their location
  114.    wt: 1:   11 Function Domain Range Source and Targets
  115.    wt: 1:   9 Set theory term relation possible origins
  116.    wt: 1:   8 Set view of relations and functions
  117.    wt: 1:   6 Set Existence Formation and Notation
  118.    wt: 1:   4 Function notation in and beyond mathematics
  119.    wt: 1:   9 quadratics physical and further context
  120.    wt: 1:   11 Growth and Decay in Biology
  121.    wt: 1:   10 Exponential Growth and Decay Models
  122.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  123.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  124.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  125.    wt: 1:   16 cotangent function Definition Graph and Inverse
  126.    wt: 1:   15 cosecant function Definition Graph and Inverse
  127.    wt: 1:   14 secant function Definition Graph and Inverse
  128.    wt: 1:   13 cosecant function Definition Graph and Inverse
  129.    wt: 1:   9 Summary Degrees to Radians and back
  130.    wt: 1:   1 Degrees and Radians Introduction
  131.    wt: 1:   A Global Time and Navigation
  132.    wt: 1:   15 Dot and Cross Product
  133.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  134.    wt: 1:   Parallel Lines and Parallel Transversals
  135.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  136.    wt: 1:   Parallel Lines and Interior Angles
  137.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  138.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  139.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  140.    wt: 1:   29 secant cosecant and cotangent for acute angles
  141.    wt: 1:   27 Logarithmic use of products of sines and cosines
  142.    wt: 1:   26 Formulas for products of sines and cosines
  143.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  144.    wt: 1:   21 sine and cosine Half Angle Formulas
  145.    wt: 1:   20 sine and cosine Double Angle Formulas
  146.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  147.    wt: 1:   17E Trig Formulas for dot and cross Products
  148.    wt: 1:   17D cis formulas for sine cosines and tangent
  149.    wt: 1:   17C sine and cosine double triple angle formulas
  150.    wt: 1:   17A The complex number valued trig function cis
  151.    wt: 1:   10 Graphs of sines and cosines many periods
  152.    wt: 1:   9 Graphs of sine and cosine over one period
  153.    wt: 1:   7 period of sine and cosine
  154.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  155.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  156.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  157.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  158.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  159.    wt: 1:   21 Logarithms Powers and Exponentials
  160.    wt: 1:   20 N th Roots of Complex Numbers
  161.    wt: 1:   16 References and Originality Question
  162.    wt: 1:   13 Trig Formulas for dot and cross Products
  163.    wt: 1:   12 cis formulas for sine cosines and tangent
  164.    wt: 1:   11 sine and cosine double triple angle formulas
  165.    wt: 1:   9 The complex number valued trig function cis
  166.    wt: 1:   6 Field Properties of Complex Number
  167.    wt: 1:   2 Complex Numbers made easier we hope
  168.    wt: 1:   Appetizer A Complex Number Applet
  169.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  170.    wt: 1:   3 Trigonometric Ratios sine and cosine
  171.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  172.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  173.    wt: 1:   8 Similarity of Triangles and Polygons
  174.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  175.    wt: 1:   10 Midpoint of [a b] and [b a]
  176.    wt: 1:   7 Exercises to test skill and concept mastery
  177.    wt: 1:   1 Numerical view of lines and their equations
  178.    wt: 1:   What is and is not here
  179.    wt: 1:   7 Complex Numbers Appetizer
  180.    wt: 1:   6 Polar Multiplication and Rotation
  181.    wt: 1:   5 Cartesian Addition and Translation
  182.    wt: 1:   4 Polar Coordinates to and from
  183.    wt: 1:   PS H Distributive Law For Complex Numbers
  184.    wt: 1:   16 Angles Subtended By Chords and Diameters
  185.    wt: 1:   6 Ruler and compass Angle Bisection
  186.    wt: 1:   1 Initial Concepts and Terms
  187.    wt: 1:   musings do not puiblish real numbers
  188.    wt: 1:   A Modular and Remainder Arithmetic
  189.    wt: 1:   A Signed Number Arithmetic Review
  190.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  191.    wt: 1:   22 Multiplication of Signed Numbers
  192.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  193.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  194.    wt: 1:   13 Arrows and Vectors in a Plane
  195.    wt: 1:   12 Real Numbers Line Signed Coordinates
  196.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  197.    wt: 1:   9 Division with Digits after Decimal Point
  198.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  199.    wt: 1:   B Decimal Comparison and Subtraction
  200.    wt: 1:   7 Decimals Multiplication Methods Examples
  201.    wt: 1:   5 Distributive Law for Whole Numbers
  202.    wt: 1:   3 Multiplicative Counting Skills Principles
  203.    wt: 1:   1 The Counting Origins of Numbers
  204.    wt: 1:   4 Rates Ratios and Proporitionality
  205.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  206.    wt: 1:   6 Compound Interest Forward and Backwards
  207.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  208.    wt: 1:   6 Equations and Systems Equivalent or Implied
  209.    wt: 1:   2 Addition and Multiplication Axioms
  210.    wt: 1:   4 Comparison of Negative Numbers
  211.    wt: 1:   3 More and Less Than with Unlike Signs
  212.    wt: 1:   1 Real Numbers Comparison
  213.    wt: 1:   16 Real Numbers Comparison
  214.    wt: 1:   14 Real Number Multiplication
  215.    wt: 1:   13 Real Number Subtraction
  216.    wt: 1:   12 Real Number Additive Inverses or Negatives
  217.    wt: 1:   11 Real Number Addition
  218.    wt: 1:   8 Coordinates for Maps and Planes
  219.    wt: 1:   7 Real Numbers as Line Cordinates
  220.    wt: 1:   6 Unsigned Real Numbers
  221.    wt: 1:   5 Rational Numbers More
  222.    wt: 1:   4 Rational Numbers
  223.    wt: 1:   3 Geometric Formulas and Function Notation
  224.    wt: 1:   1 Formulas Dependence and Function Notation
  225.    wt: 1:   3 GE III Equation Addition and Multiplication
  226.    wt: 1:   1 Written work formats for developing and showing skill
  227.    wt: 1:   9 Sets in Probability and Statistics
  228.    wt: 1:   8 Sets of Numbers
  229.    wt: 1:   1 Three Skills For Algebra
  230.    wt: 1:   3 Comparison of Negative Numbers
  231.    wt: 1:   2 More and Less Than with Unlike Signs
  232.    wt: 1:   1 Squares and Square Roots Introduction
  233.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  234.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  235.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  236.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  237.    wt: 1:   7 GCD and LCM from prime factorization
  238.    wt: 1:   4 LCM of 8 and 10 via Prime
  239.    wt: 1:   3 Counting with Tables and Trees II
  240.    wt: 1:   2 Counting with Tables and Trees I
  241.    wt: 1:   1 Counting and Counting Methods I
  242.    wt: 1:   10 dividing signed numbers
  243.    wt: 1:   9 subtracting signed numbers
  244.    wt: 1:   8 multiplying signed numbers
  245.    wt: 1:   7 negative and additive inverse
  246.    wt: 1:   6 adding signed numbers
  247.    wt: 1:   3 signed coordinates for maps and planes
  248.    wt: 1:   2 Equality and Units
  249.    wt: 1:   1 Addition and Subtraction with Units
  250.    wt: 1:   B Fractions and Two Term Ratios
  251.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  252.    wt: 1:   21 Reciprocals for Fractions and Wholes
  253.    wt: 1:   17 Efficient Ways to Add and Subtract
  254.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  255.    wt: 1:   14 Adding and Subtracting with Like Denominators
  256.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  257.    wt: 1:   6 Multiplication of Mixed Numbers
  258.    wt: 1:   11 Adding Integers Formulas and Examples
  259.    wt: 1:   8 Multiplication by Signed Numbers Integers
  260.    wt: 1:   6 Multiplication by Natural Numbers
  261.    wt: 1:   5 Zero Movement and Additive Inverses
  262.    wt: 1:   17 Identify and Count Factors using Primes
  263.    wt: 1:   12 LCD GCD and LCM using Primes
  264.    wt: 1:   7 Calculator Usage Notes and Cautions
  265.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  266.    wt: 1:   5 Prime Factorization and a Square Rule
  267.    wt: 1:   3 video Primes and Composites from 9 times table
  268.    wt: 1:   2 Prime and Composites less than 16
  269.    wt: 1:   7 Long Divison Mistake Catching
  270.    wt: 1:   4 Division with 2 Digit Divsors
  271.    wt: 1:   3 Division Single Digit Divisor Example
  272.    wt: 1:   2 Division with Single Digit Divisors
  273.    wt: 1:   4 Two and Three Digit Multipliers
  274.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  275.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  276.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  277.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  278.    wt: 1:   5. How to add decimals C. Examples
  279.    wt: 1:   4. How to add with decimals B with conversions
  280.    wt: 1:   3. How to add with decimals A sans conversions
  281.    wt: 1:   11 Place Value SI Standard International way
  282.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  283.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  284.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  285.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  286.    wt: 1:   Exact Arithmetic Wholes and Fractions
  287.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  288.    wt: 1:   016 Numbering Occidental Calendar Days
  289.    wt: 1:   015 School and work day counting tables
  290.    wt: 1:   012 Division of Time Intervals by Time Intervals
  291.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  292.    wt: 1:   6 How long is a million seconds
  293.    wt: 1:   4 Mixing and Changing Units of Time
  294.    wt: 1:   3 Units and Lengths of Time
  295.    wt: 1:   2 Time and Date Matters in School
  296.    wt: 1:   1 Intro of Kids To Time Date Skills
  297.    wt: 1:   Example 1. Area Between x and x squared
  298.    wt: 1:   17 Derivatives of quotients of sine and cosine
  299.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  300.    wt: 1:   15 sine and cosine derivatives 3rd step
  301.    wt: 1:   14 sine and cosine derivatives 2nd step
  302.    wt: 1:   13 sine and cosine derivatives 1st step
  303.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  304.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  305.    wt: 1:   9 Limits Continuity and Composition
  306.    wt: 1:   5 Jumps and absence of unlimited error control
  307.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  308.    wt: 1:   PostScript For and Against Decimal Perspectives
  309.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  310.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  311.    wt: 1:   Chapter 22 Complex Numbers
  312.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  313.    wt: 1:   Chapter 12. Units and Slopes
  314.    wt: 1:   Chapter 10 Slopes and Units
  315.    wt: 1:   Chapter 7 Slopes and Velocity
  316.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  317.    wt: 1:   Chapter 2. Slopes and Ski Trails
  318.    wt: 1:   Appendix E. How To Study Mathematics and Why
  319.    wt: 1:   Appendix D. What to do in School and Why
  320.    wt: 1:   Chapter 31 Direct and Indirect Reason
  321.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  322.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  323.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  324.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  325.    wt: 1:   Chapter 20. Degrees and Radians
  326.    wt: 1:   Chapter 19. Functions and Sets
  327.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  328.    wt: 1:   Chapter 12. Shorthand Usage Guide
  329.    wt: 1:   Chapter 11. Why Shorthand
  330.    wt: 1:   Chapter 10 Describing and Changing Calculations
  331.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  332.    wt: 1:   Chapter 8 Three Skills For Algebra
  333.    wt: 1:   Chapter 4 Longer Chains of Reason
  334.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  335.    wt: 1:   Chapter 2 For and Against Mathematics
  336.    wt: 1:   Postscript B More on Story Telling and Reason
  337.    wt: 1:   Chapter 24 Direct and Indirect Reason
  338.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  339.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  340.    wt: 1:   Chapter 18 Sense and Knowledge
  341.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  342.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  343.    wt: 1:   Chapter 7 Longer Chains of Reason
  344.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  345.    wt: 1:   R Why Learn Mathematics Skills
  346.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  347.    wt: 1:   O On Learning Mathematics and Science
  348.    wt: 1:   L Skills with take home value
  349.    wt: 1:   N Improving Marks on Tests and Finals
  350.    wt: 1:   J. More on written work and showing skill
  351.    wt: 1:   H Jigsaw puzzles and problem solving
  352.    wt: 1:   G. Written work formats for developing and showing skill
  353.    wt: 1:   E. When and how to correct errors
  354.    wt: 1:   Chapter 8 Skipped Topics and Why
  355.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  356.    wt: 1:   Chapter 6 More Algebra and Geometry
  357.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  358.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  359.    wt: 1:   7 Games and Activities for Instruction
  360.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  361.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  362.    wt: 1:   Helping the Blind in Logic and Mathematics
  363.    wt: 1:   More Algebra and Slope based Calculus Preview
  364.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  365.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  366.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  367.    wt: 1:   The Math Forum and Site Content

Extended Search

708 matches:

  1.    wt: 9:   1 More and Less Than for Counts and Measures
  2.    wt: 9:   7 Long Divison Mistake Catching
  3.    wt: 9:   4 Division with 2 Digit Divsors
  4.    wt: 9:   3 Division Single Digit Divisor Example
  5.    wt: 9:   2 Division with Single Digit Divisors
  6.    wt: 9:   8 What skills and work habits to require
  7.    wt: 9:   6. Counting and adding units and mixed units
  8.    wt: 8:   3 Comparison of Negative Numbers
  9.    wt: 8:   2 More and Less Than with Unlike Signs
  10.    wt: 8:   11 What are real lengths and numbers
  11.    wt: 8:   5 lengths and signs of numbers
  12.    wt: 8:   2 signed and unsigned numbers as coordinates
  13.    wt: 8:   5 Reciprocals and Division for Fractions with Units
  14.    wt: 8:   3 Multiplying Units and Numbers
  15.    wt: 8:   C Equality for Fractions and Two Term Ratios and Fractions
  16.    wt: 8:   9 Improper Fractions and Mixed Numbers
  17.    wt: 8:   A Decimals Modular and Remainder Arithmetic
  18.    wt: 8:   11 Remainder Arithmetic Long Division by 5 Quickly more
  19.    wt: 8:   10 Remainder Arithmetic Long Division by 5 Quickly
  20.    wt: 8:   11 Another Single Digit Divisor Example
  21.    wt: 8:   8 Correcting the Mistake
  22.    wt: 8:   1 Divsion Physical Examples
  23.    wt: 8:   Appendix 1 Decimals Comparison Method Take II
  24.    wt: 8:   4 Subtraction with Conversions Borrows and Letter J
  25.    wt: 8:   3 Harder Cases Convert to Compare and Subtract
  26.    wt: 8:   1 Comparison and Subtraction Easy Direct Cases
  27.    wt: 8:   5. How to add decimals C. Examples
  28.    wt: 8:   4. How to add with decimals B with conversions
  29.    wt: 8:   3. How to add with decimals A sans conversions
  30.    wt: 7:   4 Greater More Less Than Signs in General
  31.    wt: 7:   1 Squares and Square Roots Introduction
  32.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  33.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  34.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  35.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  36.    wt: 7:   7 GCD and LCM from prime factorization
  37.    wt: 7:   4 LCM of 8 and 10 via Prime
  38.    wt: 7:   3 Counting with Tables and Trees II
  39.    wt: 7:   2 Counting with Tables and Trees I
  40.    wt: 7:   1 Counting and Counting Methods I
  41.    wt: 7:   10 dividing signed numbers
  42.    wt: 7:   9 subtracting signed numbers
  43.    wt: 7:   8 multiplying signed numbers
  44.    wt: 7:   7 negative and additive inverse
  45.    wt: 7:   6 adding signed numbers
  46.    wt: 7:   3 signed coordinates for maps and planes
  47.    wt: 7:   2 Equality and Units
  48.    wt: 7:   1 Addition and Subtraction with Units
  49.    wt: 7:   B Fractions and Two Term Ratios
  50.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  51.    wt: 7:   21 Reciprocals for Fractions and Wholes
  52.    wt: 7:   17 Efficient Ways to Add and Subtract
  53.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  54.    wt: 7:   14 Adding and Subtracting with Like Denominators
  55.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  56.    wt: 7:   6 Multiplication of Mixed Numbers
  57.    wt: 7:   B Integer Long Division Multiple Choices
  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:   6 Sieve of Eratosthenes and Square Rule
  62.    wt: 7:   5 Prime Factorization and a Square Rule
  63.    wt: 7:   3 video Primes and Composites from 9 times table
  64.    wt: 7:   2 Prime and Composites less than 16
  65.    wt: 7:   4 Two and Three Digit Multipliers
  66.    wt: 7:   Appendix 2 Three Decimal Subtraction Methods
  67.    wt: 7:   Subtraction with J Conversions Example
  68.    wt: 7:   Subtraction Another Video Lesson
  69.    wt: 7:   9 22 Minute Subtraction Review Video
  70.    wt: 7:   8 Subtraction with Units of Measure
  71.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  72.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  73.    wt: 7:   5 A Tip for Efficent Subtraction
  74.    wt: 7:   2 Subtraction Easy Case Examples
  75.    wt: 7:   Appendix 1 Counting Revisited 15 minute video
  76.    wt: 7:   7 Adding decimal fractions using decimal point
  77.    wt: 7:   2 Decimal Counting Practices
  78.    wt: 7:   1. Explaining Addition Table
  79.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  80.    wt: 7:   Quick history of numbers and algebra
  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:   7 Converting or Changing Units
  100.    wt: 6:   6 Simplification of Fractions with Units
  101.    wt: 6:   4 Fractions with Units
  102.    wt: 6:   D Three Term Ratios
  103.    wt: 6:   22 Complex Compound Fractions
  104.    wt: 6:   21 Working With Signs
  105.    wt: 6:   20 Dividing Fractions the Why
  106.    wt: 6:   19 Dividing Fractions How TO
  107.    wt: 6:   18 Efficient Ways to Multiply
  108.    wt: 6:   16 Addition Subtraction Comparision Compared
  109.    wt: 6:   13 Fraction Comparison Algebraic View
  110.    wt: 6:   12 Fraction Comparison
  111.    wt: 6:   11 Simplification an Algebraic View
  112.    wt: 6:   8 Numerals Fractionals Quantals Take II
  113.    wt: 6:   7 Numerals Fractionals Quantals
  114.    wt: 6:   6 Multiplication Algebraically Take II
  115.    wt: 6:   5 Equivalent Fractions
  116.    wt: 6:   4 Fraction Multiplication
  117.    wt: 6:   3 Unit fraction of a fraction
  118.    wt: 6:   2 Unit Fraction Multiplication
  119.    wt: 6:   1 What is a fraction Take II
  120.    wt: 6:   1 What is a fraction
  121.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  122.    wt: 6:   11 Adding Integers Formulas and Examples
  123.    wt: 6:   8 Multiplication by Signed Numbers Integers
  124.    wt: 6:   6 Multiplication by Natural Numbers
  125.    wt: 6:   5 Zero Movement and Additive Inverses
  126.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  127.    wt: 6:   26 Divisibility by 2 3 5 Example
  128.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  129.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  130.    wt: 6:   23 Remainder Arithmetic Modulo 2
  131.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  132.    wt: 6:   21 Remainder Arithmetic Modulo 3
  133.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  134.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  135.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  136.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  137.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  138.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  139.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  140.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  141.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  142.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  143.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  144.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  145.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  146.    wt: 6:   5 Remainder Arithmetic Modulo 5
  147.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  148.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  149.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  150.    wt: 6:   1 Remainder Arithmetic Modulo 10
  151.    wt: 6:   20 Uniqueness of Prime Factorization
  152.    wt: 6:   19 video Prime Factorization Unique
  153.    wt: 6:   18 video Count Factors given Prime Factorization
  154.    wt: 6:   16 video Factors of 980 using prime
  155.    wt: 6:   15 video Factors of 20 using Prime Factorization
  156.    wt: 6:   14 video Factors of 24 Take II
  157.    wt: 6:   13 video Factors of 24 using prime
  158.    wt: 6:   11 Efficient Square Rule Use
  159.    wt: 6:   10 video Prime Factorization upto 23 squared
  160.    wt: 6:   9 video Prime Factorization upto 19 squared
  161.    wt: 6:   8 video Prime Factorization upto 19
  162.    wt: 6:   4 video Prime Factorization Introduction
  163.    wt: 6:   1 video how Products are bigger than factor
  164.    wt: 6:   D Decimal Multiplication Methods Derived
  165.    wt: 6:   C Counting Areas with Powers of Ten
  166.    wt: 6:   B Powers of Ten
  167.    wt: 6:   A Elementary Basis for Multiplication Methods
  168.    wt: 6:   6 Multiplication Commutes Order Not Important
  169.    wt: 6:   5 Decimal Fraction Multiplication
  170.    wt: 6:   3 More One Digit Multipliers
  171.    wt: 6:   2 One Digit Multipliers
  172.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  173.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  174.    wt: 6:   Video Power Notation in Decimal Expansion
  175.    wt: 6:   1 Why 3 times 5 gives 15
  176.    wt: 6:   11 Place Value SI Standard International way
  177.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  178.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  179.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  180.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  181.    wt: 6:   Exact Arithmetic Wholes and Fractions
  182.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  183.    wt: 5:   arithmetic videos Real Player Format
  184.    wt: 5:   D Remainders Modulo 11 Pair Rule
  185.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  186.    wt: 5:   A Associative Law Theorectical Note
  187.    wt: 5:   13 Subtraction with Additive Inverse
  188.    wt: 5:   12 Adding Integers More Examples
  189.    wt: 5:   10 Integer Multiplication Formulas
  190.    wt: 5:   9 Multiplying Integers
  191.    wt: 5:   7 Multiplication by Signs
  192.    wt: 5:   4 Adding Movements wiht opposite directions
  193.    wt: 5:   3 Adding Movements with same direction
  194.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  195.    wt: 5:   1 Integers as Coordinates
  196.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  197.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  198.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  199.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  200.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  201.    wt: 5:   Formula Evaluation how to show work
  202.    wt: 5:   Expression Evaluation how to show work
  203.    wt: 5:   The 20 Times Table
  204.    wt: 5:   The 12 Times Table Visually
  205.    wt: 5:   About folder contents
  206.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  207.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  208.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  209.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  210.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  211.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  212.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  213.    wt: 3:   11 Signed Number Addition and Addition Properties
  214.    wt: 3:   8 Division and Mulplication of Compound Fractions
  215.    wt: 3:   E Long Division Methods more
  216.    wt: 3:   D Long Division Methods
  217.    wt: 3:   2 Combing Counts Addition Skills and Principles
  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:   011 Division of Time Intervals By Numbers
  224.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  225.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  226.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  227.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  228.    wt: 3:   I. Logic and language skills
  229.    wt: 3:   How to Build Skills and Confidence
  230.    wt: 3:   7 Games and Activities for Instruction
  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:   7 logic review and decimals an odd combination
  236.    wt: 2:   2 Reading and Writing Skills
  237.    wt: 2:   Ages 12 to 14 Skills with take home value
  238.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  239.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  240.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  241.    wt: 2:   4 Polynomials Long division linear divisor
  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:   6 Field Properties of Complex Number
  257.    wt: 2:   2 Complex Numbers made easier we hope
  258.    wt: 2:   Appetizer A Complex Number Applet
  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:   1 Numerical view of lines and their equations
  262.    wt: 2:   What is and is not here
  263.    wt: 2:   7 Complex Numbers Appetizer
  264.    wt: 2:   6 Polar Multiplication and Rotation
  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:   6 Ruler and compass Angle Bisection
  270.    wt: 2:   1 Initial Concepts and Terms
  271.    wt: 2:   3 Lengths and Areas on Maps and Plans
  272.    wt: 2:   musings do not puiblish real numbers
  273.    wt: 2:   A Modular and Remainder Arithmetic
  274.    wt: 2:   A Signed Number Arithmetic Review
  275.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  276.    wt: 2:   22 Multiplication of Signed Numbers
  277.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  278.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  279.    wt: 2:   13 Arrows and Vectors in a Plane
  280.    wt: 2:   12 Real Numbers Line Signed Coordinates
  281.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  282.    wt: 2:   9 Division with Digits after Decimal Point
  283.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  284.    wt: 2:   B Decimal Comparison and Subtraction
  285.    wt: 2:   7 Decimals Multiplication Methods Examples
  286.    wt: 2:   5 Distributive Law for Whole Numbers
  287.    wt: 2:   3 Multiplicative Counting Skills Principles
  288.    wt: 2:   1 The Counting Origins of Numbers
  289.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  290.    wt: 2:   4 Rates Ratios and Proporitionality
  291.    wt: 2:   6 Equations and Systems Equivalent or Implied
  292.    wt: 2:   2 Addition and Multiplication Axioms
  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:   14 Real Number Multiplication
  298.    wt: 2:   13 Real Number Subtraction
  299.    wt: 2:   12 Real Number Additive Inverses or Negatives
  300.    wt: 2:   11 Real Number Addition
  301.    wt: 2:   8 Coordinates for Maps and Planes
  302.    wt: 2:   7 Real Numbers as Line Cordinates
  303.    wt: 2:   6 Unsigned Real Numbers
  304.    wt: 2:   5 Rational Numbers More
  305.    wt: 2:   4 Rational Numbers
  306.    wt: 2:   3 Geometric Formulas and Function Notation
  307.    wt: 2:   1 Formulas Dependence and Function Notation
  308.    wt: 2:   5 Talking about Numbers and Quantities
  309.    wt: 2:   4 A Brief Story of numbers and algebra
  310.    wt: 2:   016 Numbering Occidental Calendar Days
  311.    wt: 2:   015 School and work day counting tables
  312.    wt: 2:   012 Division of Time Intervals by Time Intervals
  313.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  314.    wt: 2:   6 How long is a million seconds
  315.    wt: 2:   4 Mixing and Changing Units of Time
  316.    wt: 2:   3 Units and Lengths of Time
  317.    wt: 2:   2 Time and Date Matters in School
  318.    wt: 2:   1 Intro of Kids To Time Date Skills
  319.    wt: 2:   Example 1. Area Between x and x squared
  320.    wt: 2:   38 Formulas and derivatives for powers and roots
  321.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  322.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  323.    wt: 2:   9 Limits Continuity and Composition
  324.    wt: 2:   5 Jumps and absence of unlimited error control
  325.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  326.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  327.    wt: 2:   Appendix E. How To Study Mathematics and Why
  328.    wt: 2:   Appendix D. What to do in School and Why
  329.    wt: 2:   Chapter 31 Direct and Indirect Reason
  330.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  331.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  332.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  333.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  334.    wt: 2:   Chapter 20. Degrees and Radians
  335.    wt: 2:   Chapter 19. Functions and Sets
  336.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  337.    wt: 2:   Chapter 12. Shorthand Usage Guide
  338.    wt: 2:   Chapter 11. Why Shorthand
  339.    wt: 2:   Chapter 10 Describing and Changing Calculations
  340.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  341.    wt: 2:   Chapter 8 Three Skills For Algebra
  342.    wt: 2:   Chapter 4 Longer Chains of Reason
  343.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  344.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  345.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  346.    wt: 2:   R Why Learn Mathematics Skills
  347.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  348.    wt: 2:   O On Learning Mathematics and Science
  349.    wt: 2:   L Skills with take home value
  350.    wt: 2:   N Improving Marks on Tests and Finals
  351.    wt: 2:   J. More on written work and showing skill
  352.    wt: 2:   H Jigsaw puzzles and problem solving
  353.    wt: 2:   G. Written work formats for developing and showing skill
  354.    wt: 2:   E. When and how to correct errors
  355.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  356.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  357.    wt: 1:   Appendix 1 primary and preschool mathematic
  358.    wt: 1:   G LAMP Introduction Problem Solving Skills
  359.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  360.    wt: 1:   Skills Chapter 5 Calculus
  361.    wt: 1:   Skills Chapter 4 Logic
  362.    wt: 1:   Skills Chapter 3 Algebra
  363.    wt: 1:   Skills Chapter 2 Geometry
  364.    wt: 1:   Skills Chapter 1 Arithmetic
  365.    wt: 1:   Skills Chapter 0 Introduction
  366.    wt: 1:   5 logarithms and exponentials etc
  367.    wt: 1:   2 arithmetic with signed numbers
  368.    wt: 1:   1 arithmetic with unsigned numbers
  369.    wt: 1:   key notes and themes
  370.    wt: 1:   what should be learnt and When
  371.    wt: 1:   standards for course material
  372.    wt: 1:   Theory of Knowledge
  373.    wt: 1:   Education in mathematics science and technology
  374.    wt: 1:   Motivation and Context Problem
  375.    wt: 1:   fairness and inductive principles for instruction
  376.    wt: 1:   chapitre 12 00 les iles et division
  377.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  378.    wt: 1:   Home Tutoring and Home Schooling
  379.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  380.    wt: 1:   24 Standards For Skill Develoment Take II
  381.    wt: 1:   24 Standards For Skill Develoment
  382.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  383.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  384.    wt: 1:   17 Math Booklets for children and young teenagers
  385.    wt: 1:   14 Multiplication and Times Tables
  386.    wt: 1:   13 Addition and Addition Tables
  387.    wt: 1:   12 Goals and Objectives For Mathematics
  388.    wt: 1:   11 Help and Defend Your Child or Teens Education
  389.    wt: 1:   5 Patience Please for Yourself and Your Charges
  390.    wt: 1:   4 Learning Takes Time and Effort
  391.    wt: 1:   1 Speaking Skills
  392.    wt: 1:   Ages 12 to 14 Geometry
  393.    wt: 1:   Ages 12 to 14 Arithmetic
  394.    wt: 1:   Ages 10 to 12 Geometry
  395.    wt: 1:   Ages 10 to 12 Arithmetic
  396.    wt: 1:   Ages 9 to 10
  397.    wt: 1:   Ages 8 to 9
  398.    wt: 1:   Ages 7 to 8
  399.    wt: 1:   Ages 6 to 7
  400.    wt: 1:   Ages 4 plus to 5 plus
  401.    wt: 1:   Ages 3 plus to 4 plus
  402.    wt: 1:   26 Function definitions done and coming
  403.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  404.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  405.    wt: 1:   19 Horizontal line rule and method
  406.    wt: 1:   18 Vertical Line Rule and Method
  407.    wt: 1:   17 Function maxima minima and their location
  408.    wt: 1:   11 Function Domain Range Source and Targets
  409.    wt: 1:   9 Set theory term relation possible origins
  410.    wt: 1:   8 Set view of relations and functions
  411.    wt: 1:   6 Set Existence Formation and Notation
  412.    wt: 1:   4 Function notation in and beyond mathematics
  413.    wt: 1:   9 quadratics physical and further context
  414.    wt: 1:   11 Growth and Decay in Biology
  415.    wt: 1:   10 Exponential Growth and Decay Models
  416.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  417.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  418.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  419.    wt: 1:   16 cotangent function Definition Graph and Inverse
  420.    wt: 1:   15 cosecant function Definition Graph and Inverse
  421.    wt: 1:   14 secant function Definition Graph and Inverse
  422.    wt: 1:   13 cosecant function Definition Graph and Inverse
  423.    wt: 1:   8 Radian Measures of Common Angles
  424.    wt: 1:   7 Radian Measures in special Triangles
  425.    wt: 1:   6 Radian Measure to Degrees
  426.    wt: 1:   5 Degrees to Radian Measure
  427.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  428.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  429.    wt: 1:   2 Radian Measure Numerical Value of one degree
  430.    wt: 1:   A Global Time and Navigation
  431.    wt: 1:   15 Dot and Cross Product
  432.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  433.    wt: 1:   4 graphing y=Asin(x c)
  434.    wt: 1:   3 graphing y=f(x c) plus K
  435.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  436.    wt: 1:   1 graphing y=f(x a)
  437.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  438.    wt: 1:   Triangle Angles Sum To 180 Degrees
  439.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  440.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  441.    wt: 1:   Straight Lines ASA Intersection Study More
  442.    wt: 1:   Straight Lines ASA Intersection Study
  443.    wt: 1:   Straight Lines Instersection Solving Equations
  444.    wt: 1:   Straight Lines Intersection of
  445.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  446.    wt: 1:   C Straight Lines Slope from Coordinates
  447.    wt: 1:   B Straight Line Slope Scaling Properties More
  448.    wt: 1:   A Straight Line Slope Scaling Properties
  449.    wt: 1:   14 Straight Lines Equations General Case
  450.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  451.    wt: 1:   12 Straight Lines Graphing mx plus b
  452.    wt: 1:   11 Straight Lines Graphing y=mx
  453.    wt: 1:   10 Straight Lines through Origin Equations More
  454.    wt: 1:   9 Straight Lines through Origin Equations
  455.    wt: 1:   8 Straight Lines Equation for vertical
  456.    wt: 1:   7 Tangent Function is odd on this domain
  457.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  458.    wt: 1:   5 Tangent Function Graph
  459.    wt: 1:   4 Tangent Function Properties
  460.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  461.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  462.    wt: 1:   1 Straight Lines Slope Concept
  463.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  464.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  465.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  466.    wt: 1:   29 secant cosecant and cotangent for acute angles
  467.    wt: 1:   27 Logarithmic use of products of sines and cosines
  468.    wt: 1:   26 Formulas for products of sines and cosines
  469.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  470.    wt: 1:   21 sine and cosine Half Angle Formulas
  471.    wt: 1:   20 sine and cosine Double Angle Formulas
  472.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  473.    wt: 1:   17E Trig Formulas for dot and cross Products
  474.    wt: 1:   17D cis formulas for sine cosines and tangent
  475.    wt: 1:   17C sine and cosine double triple angle formulas
  476.    wt: 1:   17A The complex number valued trig function cis
  477.    wt: 1:   10 Graphs of sines and cosines many periods
  478.    wt: 1:   9 Graphs of sine and cosine over one period
  479.    wt: 1:   7 period of sine and cosine
  480.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  481.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  482.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  483.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  484.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  485.    wt: 1:   19 N th Roots of Unity
  486.    wt: 1:   18 Sixth Roots of Unity
  487.    wt: 1:   17 Cube Roots of unity
  488.    wt: 1:   15 Pythagorean Theorem Converse
  489.    wt: 1:   14 Law of cosines
  490.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  491.    wt: 1:   8 Unit Circle Development of Trigonometry
  492.    wt: 1:   7 Second Way to Calculate Products
  493.    wt: 1:   5 An Easy Proof of the Distributive Law
  494.    wt: 1:   4 Multiplication Properties
  495.    wt: 1:   3 Addition Properties
  496.    wt: 1:   1 Rectangular Polar Coordinates Review
  497.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  498.    wt: 1:   3 Trigonometric Ratios sine and cosine
  499.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  500.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  501.    wt: 1:   8 Similarity of Triangles and Polygons
  502.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  503.    wt: 1:   Four Simple Exercises
  504.    wt: 1:   12 Links Lessons elsewhere
  505.    wt: 1:   11 A Partial Summary
  506.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  507.    wt: 1:   8 Mid Point Formula
  508.    wt: 1:   6 Intersection of lines by solving linear systems
  509.    wt: 1:   5 Algebraic View of Slopes
  510.    wt: 1:   4 Equations for lines three forms
  511.    wt: 1:   3 Slope product for perpendicular lines
  512.    wt: 1:   2 point slope equation for a line
  513.    wt: 1:   13 Pythagorean spatial distance formulas
  514.    wt: 1:   12 Spatial Coordinates
  515.    wt: 1:   11 Triangle Inequality
  516.    wt: 1:   10 Pythagorean plane distance formula
  517.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  518.    wt: 1:   8 Distance Between Points on a Line
  519.    wt: 1:   3 Rectangular Coordinates Review
  520.    wt: 1:   2 Cartesian Coordinates with signs
  521.    wt: 1:   1 Cartesian Coordinates sans signs
  522.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  523.    wt: 1:   PS G Rotation Distributes over Addition
  524.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  525.    wt: 1:   PS E Multiplication with Polar Coordinates
  526.    wt: 1:   PS D Addition with Cartesian Coordinates
  527.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  528.    wt: 1:   PS B Parallelogram Construction Methods
  529.    wt: 1:   PS A Kite Construction Methods
  530.    wt: 1:   21 Parallelograms
  531.    wt: 1:   19 Right Triangle Similarity
  532.    wt: 1:   18 Triangle Similarity Take 1
  533.    wt: 1:   17 Right Bisectors of Triangle Sides
  534.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  535.    wt: 1:   14 Parallel Lines Postulate
  536.    wt: 1:   13 Angle Side Angle Failure
  537.    wt: 1:   12 Side Angle Side Failure
  538.    wt: 1:   11 Triangle Construction Fails
  539.    wt: 1:   10 Dropping a perpendicular to line
  540.    wt: 1:   9 Construction of a right bisector
  541.    wt: 1:   8 Isoceles Triangles
  542.    wt: 1:   7 Angle Side Angle
  543.    wt: 1:   5 Side Angle Side
  544.    wt: 1:   4 Side Side Side
  545.    wt: 1:   3 Isometry of Triangles Congruence
  546.    wt: 1:   2 Correspondence between Triangles
  547.    wt: 1:   Short Course on Euclidean Geometry
  548.    wt: 1:   26 More Less Greater Than Comparison
  549.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  550.    wt: 1:   23 Distributive Law Two Derivations
  551.    wt: 1:   21 Addition of Multiples of a Single Vector
  552.    wt: 1:   19 Signed Multiples of Vectors
  553.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  554.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  555.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  556.    wt: 1:   15 Head to Tails in place Addition Associative
  557.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  558.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  559.    wt: 1:   4 Location of Point in Decimal Addition
  560.    wt: 1:   3 Location of Point in Decimal Multiplication
  561.    wt: 1:   2 Counting Digits in Decimal Multiplication
  562.    wt: 1:   1 Fractions with Finite Decimal Expansions
  563.    wt: 1:   C Three Decimal Subtraction Methods
  564.    wt: 1:   A Decimal Addition Columm Methods
  565.    wt: 1:   8 Column Multiplication Methods in General
  566.    wt: 1:   6 Column Methods for Decimal Multiplication
  567.    wt: 1:   4 Commutative Law Groups Counting Form
  568.    wt: 1:   5 Proportionality in Equivalent Fractions
  569.    wt: 1:   3 Proportionality Examples
  570.    wt: 1:   2 Algebraic View
  571.    wt: 1:   1 What is Proportionality
  572.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  573.    wt: 1:   6 Compound Interest Forward and Backwards
  574.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  575.    wt: 1:   5 Equality in Algebra
  576.    wt: 1:   3 Product Axioms Two Forms
  577.    wt: 1:   1 Equivalent Computation Rules
  578.    wt: 1:   5 Greater More Less Than Signs in General
  579.    wt: 1:   9 Coordinates for Regions in Space
  580.    wt: 1:   3 Fractions
  581.    wt: 1:   2 Integers
  582.    wt: 1:   5 Independent versus Dependent Variables
  583.    wt: 1:   4 Changing Letters
  584.    wt: 1:   2 Computation Rules Evaluation
  585.    wt: 1:   3 GE III Equation Addition and Multiplication
  586.    wt: 1:   Skill Development Notes
  587.    wt: 1:   10 One Example
  588.    wt: 1:   9 Three Examples
  589.    wt: 1:   8 One Example
  590.    wt: 1:   7 Two Examples
  591.    wt: 1:   6 Three Examples
  592.    wt: 1:   5 Three Examples
  593.    wt: 1:   4 Two Examples
  594.    wt: 1:   3 Two Examples
  595.    wt: 1:   2 Three Examples
  596.    wt: 1:   1 Written work formats for developing and showing skill
  597.    wt: 1:   9 Sets in Probability and Statistics
  598.    wt: 1:   8 Sets of Numbers
  599.    wt: 1:   1 Three Skills For Algebra
  600.    wt: 1:   014 Counting Days with Calendars
  601.    wt: 1:   013 Travel Time Tables
  602.    wt: 1:   010 Repeated Addition of Time Intervals
  603.    wt: 1:   8 Addition of Time Intervals via subtotaling
  604.    wt: 1:   7 Addition of Time Intervals
  605.    wt: 1:   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 3 Chains of Reason
  665.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  666.    wt: 1:   Foreword
  667.    wt: 1:   Chapter 2 For and Against Mathematics
  668.    wt: 1:   Postscript B More on Story Telling and Reason
  669.    wt: 1:   Chapter 24 Direct and Indirect Reason
  670.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  671.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  672.    wt: 1:   Chapter 18 Sense and Knowledge
  673.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  674.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  675.    wt: 1:   Chapter 7 Longer Chains of Reason
  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:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  695.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  696.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  697.    wt: 1:   The Math Forum and Site Content
  698.    wt: 11:   Long Division forwards and backwards Example 3
  699.    wt: 11:   Long Division forwards and backwards Example 2
  700.    wt: 11:   Long Division forwards and backwards Example 1
  701.    wt: 11:   10 Division by Five Long and Short Ways
  702.    wt: 10:   Long Division Backwards more
  703.    wt: 10:   Long Division Backward
  704.    wt: 10:   Division with Counts and Length
  705.    wt: 10:   12 Why Long Division Works Take III
  706.    wt: 10:   9 Why Long Division Works Take II
  707.    wt: 10:   6 Why Decimal Long Division Methods Works Take I
  708.    wt: 10:   5 Long Division Include Zeroes or not

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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