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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44 matches:

  1.    wt: 9:   10 LCM GCD and Euclid GCD Algorithm/
  2.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 6:   11 Squares and Square Roots/
  4.    wt: 6:   9 Combinatorics Trees Tables and Products/
  5.    wt: 6:   8 Arithmetic with Signed Numbers/
  6.    wt: 6:   7 Arithmetic and Fractions with Units/
  7.    wt: 6:   6 Fractions and Ratios/
  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:   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:   2 Formula Forward Use Evaluation/
  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

355 matches:

  1.    wt: 5:   12 LCD GCD and LCM using Primes
  2.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  3.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  4.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  5.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  6.    wt: 3:   7 GCD and LCM from prime factorization
  7.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  8.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  9.    wt: 2:   Ramblings Extrinsic numbers theory
  10.    wt: 2:   2 Reading and Writing Skills
  11.    wt: 2:   Vector and Complex Number Applet
  12.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  13.    wt: 2:   27 Logarithmic use of products of sines and cosines
  14.    wt: 2:   14 cosine even and sine and tangent are odd
  15.    wt: 2:   3 Lengths and Areas on Maps and Plans
  16.    wt: 2:   11 Signed Number Addition and Addition Properties
  17.    wt: 2:   2 Combing Counts Addition Skills and Principles
  18.    wt: 2:   2 More and Less Than for Counts and Measures
  19.    wt: 2:   10 Real Number Lengths and Signs
  20.    wt: 2:   1 Whole and Natural Numbers
  21.    wt: 2:   5 Talking about Numbers and Quantities
  22.    wt: 2:   4 A Brief Story of numbers and algebra
  23.    wt: 2:   1 More and Less Than for Counts and Measures
  24.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  25.    wt: 2:   4 LCM of 8 and 10 via Prime
  26.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  27.    wt: 2:   11 What are real lengths and numbers
  28.    wt: 2:   5 lengths and signs of numbers
  29.    wt: 2:   2 signed and unsigned numbers as coordinates
  30.    wt: 2:   3 Multiplying Units and Numbers
  31.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  32.    wt: 2:   9 Improper Fractions and Mixed Numbers
  33.    wt: 2:   17 Identify and Count Factors using Primes
  34.    wt: 2:   3 video Primes and Composites from 9 times table
  35.    wt: 2:   8 What skills and work habits to require
  36.    wt: 2:   6. Counting and adding units and mixed units
  37.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  38.    wt: 2:   Quick history of numbers and algebra
  39.    wt: 2:   38 Formulas and derivatives for powers and roots
  40.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  41.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  42.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  43.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  44.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  45.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  46.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  47.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  48.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  49.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  50.    wt: 2:   I. Logic and language skills
  51.    wt: 2:   How to Build Skills and Confidence
  52.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  53.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  54.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  55.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  56.    wt: 1:   Appendix 1 primary and preschool mathematic
  57.    wt: 1:   G LAMP Introduction Problem Solving Skills
  58.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  59.    wt: 1:   Skills Chapter 5 Calculus
  60.    wt: 1:   Skills Chapter 4 Logic
  61.    wt: 1:   Skills Chapter 3 Algebra
  62.    wt: 1:   Skills Chapter 2 Geometry
  63.    wt: 1:   Skills Chapter 1 Arithmetic
  64.    wt: 1:   Skills Chapter 0 Introduction
  65.    wt: 1:   7 logic review and decimals an odd combination
  66.    wt: 1:   5 logarithms and exponentials etc
  67.    wt: 1:   2 arithmetic with signed numbers
  68.    wt: 1:   1 arithmetic with unsigned numbers
  69.    wt: 1:   key notes and themes
  70.    wt: 1:   what should be learnt and When
  71.    wt: 1:   standards for course material
  72.    wt: 1:   Theory of Knowledge
  73.    wt: 1:   Education in mathematics science and technology
  74.    wt: 1:   Motivation and Context Problem
  75.    wt: 1:   fairness and inductive principles for instruction
  76.    wt: 1:   Home Tutoring and Home Schooling
  77.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  78.    wt: 1:   24 Standards For Skill Develoment Take II
  79.    wt: 1:   24 Standards For Skill Develoment
  80.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  81.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  82.    wt: 1:   17 Math Booklets for children and young teenagers
  83.    wt: 1:   14 Multiplication and Times Tables
  84.    wt: 1:   13 Addition and Addition Tables
  85.    wt: 1:   12 Goals and Objectives For Mathematics
  86.    wt: 1:   11 Help and Defend Your Child or Teens Education
  87.    wt: 1:   5 Patience Please for Yourself and Your Charges
  88.    wt: 1:   4 Learning Takes Time and Effort
  89.    wt: 1:   1 Speaking Skills
  90.    wt: 1:   Ages 12 to 14 Skills with take home value
  91.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  92.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  93.    wt: 1:   26 Function definitions done and coming
  94.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  95.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  96.    wt: 1:   19 Horizontal line rule and method
  97.    wt: 1:   18 Vertical Line Rule and Method
  98.    wt: 1:   17 Function maxima minima and their location
  99.    wt: 1:   11 Function Domain Range Source and Targets
  100.    wt: 1:   9 Set theory term relation possible origins
  101.    wt: 1:   8 Set view of relations and functions
  102.    wt: 1:   6 Set Existence Formation and Notation
  103.    wt: 1:   4 Function notation in and beyond mathematics
  104.    wt: 1:   2 Algebraic use of function notation
  105.    wt: 1:   9 quadratics physical and further context
  106.    wt: 1:   8 quadratics backward use of various formulas
  107.    wt: 1:   11 Growth and Decay in Biology
  108.    wt: 1:   10 Exponential Growth and Decay Models
  109.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  110.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  111.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  112.    wt: 1:   16 cotangent function Definition Graph and Inverse
  113.    wt: 1:   15 cosecant function Definition Graph and Inverse
  114.    wt: 1:   14 secant function Definition Graph and Inverse
  115.    wt: 1:   13 cosecant function Definition Graph and Inverse
  116.    wt: 1:   9 Summary Degrees to Radians and back
  117.    wt: 1:   1 Degrees and Radians Introduction
  118.    wt: 1:   A Global Time and Navigation
  119.    wt: 1:   15 Dot and Cross Product
  120.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  121.    wt: 1:   Parallel Lines and Parallel Transversals
  122.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  123.    wt: 1:   Parallel Lines and Interior Angles
  124.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  125.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  126.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  127.    wt: 1:   29 secant cosecant and cotangent for acute angles
  128.    wt: 1:   26 Formulas for products of sines and cosines
  129.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  130.    wt: 1:   21 sine and cosine Half Angle Formulas
  131.    wt: 1:   20 sine and cosine Double Angle Formulas
  132.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  133.    wt: 1:   17E Trig Formulas for dot and cross Products
  134.    wt: 1:   17D cis formulas for sine cosines and tangent
  135.    wt: 1:   17C sine and cosine double triple angle formulas
  136.    wt: 1:   17A The complex number valued trig function cis
  137.    wt: 1:   10 Graphs of sines and cosines many periods
  138.    wt: 1:   9 Graphs of sine and cosine over one period
  139.    wt: 1:   7 period of sine and cosine
  140.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  141.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  142.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  143.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  144.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  145.    wt: 1:   21 Logarithms Powers and Exponentials
  146.    wt: 1:   20 N th Roots of Complex Numbers
  147.    wt: 1:   16 References and Originality Question
  148.    wt: 1:   13 Trig Formulas for dot and cross Products
  149.    wt: 1:   12 cis formulas for sine cosines and tangent
  150.    wt: 1:   11 sine and cosine double triple angle formulas
  151.    wt: 1:   9 The complex number valued trig function cis
  152.    wt: 1:   6 Field Properties of Complex Number
  153.    wt: 1:   2 Complex Numbers made easier we hope
  154.    wt: 1:   Appetizer A Complex Number Applet
  155.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  156.    wt: 1:   3 Trigonometric Ratios sine and cosine
  157.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  158.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  159.    wt: 1:   8 Similarity of Triangles and Polygons
  160.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  161.    wt: 1:   10 Midpoint of [a b] and [b a]
  162.    wt: 1:   7 Exercises to test skill and concept mastery
  163.    wt: 1:   1 Numerical view of lines and their equations
  164.    wt: 1:   What is and is not here
  165.    wt: 1:   7 Complex Numbers Appetizer
  166.    wt: 1:   6 Polar Multiplication and Rotation
  167.    wt: 1:   5 Cartesian Addition and Translation
  168.    wt: 1:   4 Polar Coordinates to and from
  169.    wt: 1:   PS H Distributive Law For Complex Numbers
  170.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  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:   A Measurement with Ruler Proper Use
  175.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  176.    wt: 1:   musings do not puiblish real numbers
  177.    wt: 1:   A Modular and Remainder Arithmetic
  178.    wt: 1:   A Signed Number Arithmetic Review
  179.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  180.    wt: 1:   22 Multiplication of Signed Numbers
  181.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  182.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  183.    wt: 1:   13 Arrows and Vectors in a Plane
  184.    wt: 1:   12 Real Numbers Line Signed Coordinates
  185.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  186.    wt: 1:   8 Division and Mulplication of Compound Fractions
  187.    wt: 1:   B Decimal Comparison and Subtraction
  188.    wt: 1:   5 Distributive Law for Whole Numbers
  189.    wt: 1:   3 Multiplicative Counting Skills Principles
  190.    wt: 1:   1 The Counting Origins of Numbers
  191.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  192.    wt: 1:   4 Rates Ratios and Proporitionality
  193.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  194.    wt: 1:   6 Compound Interest Forward and Backwards
  195.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  196.    wt: 1:   6 Equations and Systems Equivalent or Implied
  197.    wt: 1:   4 Subtraction and Division Axioms
  198.    wt: 1:   2 Addition and Multiplication Axioms
  199.    wt: 1:   4 Comparison of Negative Numbers
  200.    wt: 1:   3 More and Less Than with Unlike Signs
  201.    wt: 1:   1 Real Numbers Comparison
  202.    wt: 1:   16 Real Numbers Comparison
  203.    wt: 1:   15 Real Number Division
  204.    wt: 1:   14 Real Number Multiplication
  205.    wt: 1:   13 Real Number Subtraction
  206.    wt: 1:   12 Real Number Additive Inverses or Negatives
  207.    wt: 1:   11 Real Number Addition
  208.    wt: 1:   8 Coordinates for Maps and Planes
  209.    wt: 1:   7 Real Numbers as Line Cordinates
  210.    wt: 1:   6 Unsigned Real Numbers
  211.    wt: 1:   5 Rational Numbers More
  212.    wt: 1:   4 Rational Numbers
  213.    wt: 1:   3 Geometric Formulas and Function Notation
  214.    wt: 1:   1 Formulas Dependence and Function Notation
  215.    wt: 1:   3 GE III Equation Addition and Multiplication
  216.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  217.    wt: 1:   1 Written work formats for developing and showing skill
  218.    wt: 1:   9 Sets in Probability and Statistics
  219.    wt: 1:   8 Sets of Numbers
  220.    wt: 1:   1 Three Skills For Algebra
  221.    wt: 1:   3 Comparison of Negative Numbers
  222.    wt: 1:   2 More and Less Than with Unlike Signs
  223.    wt: 1:   5 Square Roots with primes more still
  224.    wt: 1:   4 Square Roots with primes more
  225.    wt: 1:   1 Squares and Square Roots Introduction
  226.    wt: 1:   13 GCD from given Prime Factorization
  227.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  228.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  229.    wt: 1:   8 GCD from Euclidean Algorithm
  230.    wt: 1:   6 GCD from Prime
  231.    wt: 1:   2 Least Common Multiple LCM intro via list method
  232.    wt: 1:   1 Least Common Multiples LCM Introduction
  233.    wt: 1:   12 GCD 2700 288 via Prime
  234.    wt: 1:   3 Counting with Tables and Trees II
  235.    wt: 1:   2 Counting with Tables and Trees I
  236.    wt: 1:   1 Counting and Counting Methods I
  237.    wt: 1:   10 dividing signed numbers
  238.    wt: 1:   9 subtracting signed numbers
  239.    wt: 1:   8 multiplying signed numbers
  240.    wt: 1:   7 negative and additive inverse
  241.    wt: 1:   6 adding signed numbers
  242.    wt: 1:   3 signed coordinates for maps and planes
  243.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  244.    wt: 1:   2 Equality and Units
  245.    wt: 1:   1 Addition and Subtraction with Units
  246.    wt: 1:   B Fractions and Two Term Ratios
  247.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  248.    wt: 1:   21 Reciprocals for Fractions and Wholes
  249.    wt: 1:   17 Efficient Ways to Add and Subtract
  250.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  251.    wt: 1:   14 Adding and Subtracting with Like Denominators
  252.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  253.    wt: 1:   6 Multiplication of Mixed Numbers
  254.    wt: 1:   11 Adding Integers Formulas and Examples
  255.    wt: 1:   8 Multiplication by Signed Numbers Integers
  256.    wt: 1:   6 Multiplication by Natural Numbers
  257.    wt: 1:   5 Zero Movement and Additive Inverses
  258.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  259.    wt: 1:   11 Efficient Square Rule Use
  260.    wt: 1:   7 Calculator Usage Notes and Cautions
  261.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  262.    wt: 1:   5 Prime Factorization and a Square Rule
  263.    wt: 1:   2 Prime and Composites less than 16
  264.    wt: 1:   Division with Counts and Length
  265.    wt: 1:   Long Division forwards and backwards Example 3
  266.    wt: 1:   Long Division forwards and backwards Example 2
  267.    wt: 1:   Long Division forwards and backwards Example 1
  268.    wt: 1:   10 Division by Five Long and Short Ways
  269.    wt: 1:   4 Two and Three Digit Multipliers
  270.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  271.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  272.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  273.    wt: 1:   11 Place Value SI Standard International way
  274.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  275.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  276.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  277.    wt: 1:   Exact Arithmetic Wholes and Fractions
  278.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  279.    wt: 1:   016 Numbering Occidental Calendar Days
  280.    wt: 1:   015 School and work day counting tables
  281.    wt: 1:   011 Division of Time Intervals By Numbers
  282.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  283.    wt: 1:   4 Mixing and Changing Units of Time
  284.    wt: 1:   3 Units and Lengths of Time
  285.    wt: 1:   2 Time and Date Matters in School
  286.    wt: 1:   1 Intro of Kids To Time Date Skills
  287.    wt: 1:   Example 1. Area Between x and x squared
  288.    wt: 1:   17 Derivatives of quotients of sine and cosine
  289.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  290.    wt: 1:   15 sine and cosine derivatives 3rd step
  291.    wt: 1:   14 sine and cosine derivatives 2nd step
  292.    wt: 1:   13 sine and cosine derivatives 1st step
  293.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  294.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  295.    wt: 1:   9 Limits Continuity and Composition
  296.    wt: 1:   5 Jumps and absence of unlimited error control
  297.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  298.    wt: 1:   PostScript For and Against Decimal Perspectives
  299.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  300.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  301.    wt: 1:   Chapter 22 Complex Numbers
  302.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  303.    wt: 1:   Chapter 12. Units and Slopes
  304.    wt: 1:   Chapter 10 Slopes and Units
  305.    wt: 1:   Chapter 7 Slopes and Velocity
  306.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  307.    wt: 1:   Chapter 2. Slopes and Ski Trails
  308.    wt: 1:   Appendix E. How To Study Mathematics and Why
  309.    wt: 1:   Appendix D. What to do in School and Why
  310.    wt: 1:   Chapter 31 Direct and Indirect Reason
  311.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  312.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  313.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  314.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  315.    wt: 1:   Chapter 20. Degrees and Radians
  316.    wt: 1:   Chapter 19. Functions and Sets
  317.    wt: 1:   Chapter 12. Shorthand Usage Guide
  318.    wt: 1:   Chapter 11. Why Shorthand
  319.    wt: 1:   Chapter 10 Describing and Changing Calculations
  320.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  321.    wt: 1:   Chapter 8 Three Skills For Algebra
  322.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  323.    wt: 1:   Chapter 2 For and Against Mathematics
  324.    wt: 1:   Postscript B More on Story Telling and Reason
  325.    wt: 1:   Chapter 24 Direct and Indirect Reason
  326.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  327.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  328.    wt: 1:   Chapter 18 Sense and Knowledge
  329.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  330.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  331.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  332.    wt: 1:   R Why Learn Mathematics Skills
  333.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  334.    wt: 1:   O On Learning Mathematics and Science
  335.    wt: 1:   L Skills with take home value
  336.    wt: 1:   N Improving Marks on Tests and Finals
  337.    wt: 1:   J. More on written work and showing skill
  338.    wt: 1:   H Jigsaw puzzles and problem solving
  339.    wt: 1:   G. Written work formats for developing and showing skill
  340.    wt: 1:   E. When and how to correct errors
  341.    wt: 1:   Chapter 8 Skipped Topics and Why
  342.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  343.    wt: 1:   Chapter 6 More Algebra and Geometry
  344.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  345.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  346.    wt: 1:   7 Games and Activities for Instruction
  347.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  348.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  349.    wt: 1:   Helping the Blind in Logic and Mathematics
  350.    wt: 1:   More Algebra and Slope based Calculus Preview
  351.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  352.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  353.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  354.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  355.    wt: 1:   The Math Forum and Site Content

Extended Search

719 matches:

  1.    wt: 9:   1 More and Less Than for Counts and Measures
  2.    wt: 8:   3 Comparison of Negative Numbers
  3.    wt: 8:   2 More and Less Than with Unlike Signs
  4.    wt: 8:   11 What are real lengths and numbers
  5.    wt: 8:   5 lengths and signs of numbers
  6.    wt: 8:   2 signed and unsigned numbers as coordinates
  7.    wt: 8:   3 Multiplying Units and Numbers
  8.    wt: 8:   C Equality for Fractions and Two Term Ratios and Fractions
  9.    wt: 8:   9 Improper Fractions and Mixed Numbers
  10.    wt: 8:   17 Identify and Count Factors using Primes
  11.    wt: 8:   3 video Primes and Composites from 9 times table
  12.    wt: 8:   8 What skills and work habits to require
  13.    wt: 8:   6. Counting and adding units and mixed units
  14.    wt: 7:   4 Greater More Less Than Signs in General
  15.    wt: 7:   5 Square Roots with primes more still
  16.    wt: 7:   4 Square Roots with primes more
  17.    wt: 7:   2 Square Roots with Prime
  18.    wt: 7:   1 Squares and Square Roots Introduction
  19.    wt: 7:   3 Counting with Tables and Trees II
  20.    wt: 7:   2 Counting with Tables and Trees I
  21.    wt: 7:   1 Counting and Counting Methods I
  22.    wt: 7:   10 dividing signed numbers
  23.    wt: 7:   9 subtracting signed numbers
  24.    wt: 7:   8 multiplying signed numbers
  25.    wt: 7:   7 negative and additive inverse
  26.    wt: 7:   6 adding signed numbers
  27.    wt: 7:   3 signed coordinates for maps and planes
  28.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  29.    wt: 7:   2 Equality and Units
  30.    wt: 7:   1 Addition and Subtraction with Units
  31.    wt: 7:   B Fractions and Two Term Ratios
  32.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  33.    wt: 7:   21 Reciprocals for Fractions and Wholes
  34.    wt: 7:   17 Efficient Ways to Add and Subtract
  35.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  36.    wt: 7:   14 Adding and Subtracting with Like Denominators
  37.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  38.    wt: 7:   6 Multiplication of Mixed Numbers
  39.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  40.    wt: 7:   16 video Factors of 980 using prime
  41.    wt: 7:   13 video Factors of 24 using prime
  42.    wt: 7:   11 Efficient Square Rule Use
  43.    wt: 7:   7 Calculator Usage Notes and Cautions
  44.    wt: 7:   6 Sieve of Eratosthenes and Square Rule
  45.    wt: 7:   5 Prime Factorization and a Square Rule
  46.    wt: 7:   2 Prime and Composites less than 16
  47.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  48.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  49.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  50.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  51.    wt: 7:   Quick history of numbers and algebra
  52.    wt: 6:   3 Properties of Square Roots with example
  53.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  54.    wt: 6:   4 Counting with Trees Product Rule Take I
  55.    wt: 6:   4 signed coordinates for regions in space
  56.    wt: 6:   7 Converting or Changing Units
  57.    wt: 6:   6 Simplification of Fractions with Units
  58.    wt: 6:   4 Fractions with Units
  59.    wt: 6:   D Three Term Ratios
  60.    wt: 6:   22 Complex Compound Fractions
  61.    wt: 6:   21 Working With Signs
  62.    wt: 6:   20 Dividing Fractions the Why
  63.    wt: 6:   19 Dividing Fractions How TO
  64.    wt: 6:   18 Efficient Ways to Multiply
  65.    wt: 6:   16 Addition Subtraction Comparision Compared
  66.    wt: 6:   13 Fraction Comparison Algebraic View
  67.    wt: 6:   12 Fraction Comparison
  68.    wt: 6:   11 Simplification an Algebraic View
  69.    wt: 6:   8 Numerals Fractionals Quantals Take II
  70.    wt: 6:   7 Numerals Fractionals Quantals
  71.    wt: 6:   6 Multiplication Algebraically Take II
  72.    wt: 6:   5 Equivalent Fractions
  73.    wt: 6:   4 Fraction Multiplication
  74.    wt: 6:   3 Unit fraction of a fraction
  75.    wt: 6:   2 Unit Fraction Multiplication
  76.    wt: 6:   1 What is a fraction Take II
  77.    wt: 6:   1 What is a fraction
  78.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  79.    wt: 6:   11 Adding Integers Formulas and Examples
  80.    wt: 6:   8 Multiplication by Signed Numbers Integers
  81.    wt: 6:   6 Multiplication by Natural Numbers
  82.    wt: 6:   5 Zero Movement and Additive Inverses
  83.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  84.    wt: 6:   26 Divisibility by 2 3 5 Example
  85.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  86.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  87.    wt: 6:   23 Remainder Arithmetic Modulo 2
  88.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  89.    wt: 6:   21 Remainder Arithmetic Modulo 3
  90.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  91.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  92.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  93.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  94.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  95.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  96.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  97.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  98.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  99.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  100.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  101.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  102.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  103.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  104.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  105.    wt: 6:   5 Remainder Arithmetic Modulo 5
  106.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  107.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  108.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  109.    wt: 6:   1 Remainder Arithmetic Modulo 10
  110.    wt: 6:   20 Uniqueness of Prime Factorization
  111.    wt: 6:   19 video Prime Factorization Unique
  112.    wt: 6:   18 video Count Factors given Prime Factorization
  113.    wt: 6:   15 video Factors of 20 using Prime Factorization
  114.    wt: 6:   14 video Factors of 24 Take II
  115.    wt: 6:   10 video Prime Factorization upto 23 squared
  116.    wt: 6:   9 video Prime Factorization upto 19 squared
  117.    wt: 6:   8 video Prime Factorization upto 19
  118.    wt: 6:   4 video Prime Factorization Introduction
  119.    wt: 6:   1 video how Products are bigger than factor
  120.    wt: 6:   Division with Counts and Length
  121.    wt: 6:   Long Division forwards and backwards Example 3
  122.    wt: 6:   Long Division forwards and backwards Example 2
  123.    wt: 6:   Long Division forwards and backwards Example 1
  124.    wt: 6:   10 Division by Five Long and Short Ways
  125.    wt: 6:   4 Two and Three Digit Multipliers
  126.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  127.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  128.    wt: 6:   Subtraction with J Conversions Example
  129.    wt: 6:   Subtraction Another Video Lesson
  130.    wt: 6:   9 22 Minute Subtraction Review Video
  131.    wt: 6:   8 Subtraction with Units of Measure
  132.    wt: 6:   7 Subtraction for Decimal Fractions with Exercises
  133.    wt: 6:   6 Subtraction with Conversion Example with Exercises
  134.    wt: 6:   5 A Tip for Efficent Subtraction
  135.    wt: 6:   2 Subtraction Easy Case Examples
  136.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  137.    wt: 6:   7 Adding decimal fractions using decimal point
  138.    wt: 6:   5. How to add decimals C. Examples
  139.    wt: 6:   4. How to add with decimals B with conversions
  140.    wt: 6:   3. How to add with decimals A sans conversions
  141.    wt: 6:   2 Decimal Counting Practices
  142.    wt: 6:   1. Explaining Addition Table
  143.    wt: 6:   11 Place Value SI Standard International way
  144.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  145.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  146.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  147.    wt: 6:   Exact Arithmetic Wholes and Fractions
  148.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  149.    wt: 5:   arithmetic videos Real Player Format
  150.    wt: 5:   D Remainders Modulo 11 Pair Rule
  151.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  152.    wt: 5:   B Integer Long Division Multiple Choices
  153.    wt: 5:   A Associative Law Theorectical Note
  154.    wt: 5:   13 Subtraction with Additive Inverse
  155.    wt: 5:   12 Adding Integers More Examples
  156.    wt: 5:   10 Integer Multiplication Formulas
  157.    wt: 5:   9 Multiplying Integers
  158.    wt: 5:   7 Multiplication by Signs
  159.    wt: 5:   4 Adding Movements wiht opposite directions
  160.    wt: 5:   3 Adding Movements with same direction
  161.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  162.    wt: 5:   1 Integers as Coordinates
  163.    wt: 5:   Long Division Backwards more
  164.    wt: 5:   Long Division Backward
  165.    wt: 5:   12 Why Long Division Works Take III
  166.    wt: 5:   11 Another Single Digit Divisor Example
  167.    wt: 5:   9 Why Long Division Works Take II
  168.    wt: 5:   8 Correcting the Mistake
  169.    wt: 5:   7 Long Divison Mistake Catching
  170.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  171.    wt: 5:   5 Long Division Include Zeroes or not
  172.    wt: 5:   4 Division with 2 Digit Divsors
  173.    wt: 5:   3 Division Single Digit Divisor Example
  174.    wt: 5:   2 Division with Single Digit Divisors
  175.    wt: 5:   1 Divsion Physical Examples
  176.    wt: 5:   D Decimal Multiplication Methods Derived
  177.    wt: 5:   C Counting Areas with Powers of Ten
  178.    wt: 5:   B Powers of Ten
  179.    wt: 5:   A Elementary Basis for Multiplication Methods
  180.    wt: 5:   6 Multiplication Commutes Order Not Important
  181.    wt: 5:   5 Decimal Fraction Multiplication
  182.    wt: 5:   3 More One Digit Multipliers
  183.    wt: 5:   2 One Digit Multipliers
  184.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  185.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  186.    wt: 5:   Video Power Notation in Decimal Expansion
  187.    wt: 5:   1 Why 3 times 5 gives 15
  188.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  189.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  190.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  191.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  192.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  193.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  194.    wt: 5:   Formula Evaluation how to show work
  195.    wt: 5:   Expression Evaluation how to show work
  196.    wt: 5:   The 20 Times Table
  197.    wt: 5:   The 12 Times Table Visually
  198.    wt: 5:   About folder contents
  199.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  200.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  201.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  202.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  203.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  204.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  205.    wt: 3:   11 Signed Number Addition and Addition Properties
  206.    wt: 3:   2 Combing Counts Addition Skills and Principles
  207.    wt: 3:   2 More and Less Than for Counts and Measures
  208.    wt: 3:   10 Real Number Lengths and Signs
  209.    wt: 3:   1 Whole and Natural Numbers
  210.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  211.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  212.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  213.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  214.    wt: 3:   I. Logic and language skills
  215.    wt: 3:   How to Build Skills and Confidence
  216.    wt: 3:   7 Games and Activities for Instruction
  217.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  218.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  219.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  220.    wt: 2:   Ramblings Extrinsic numbers theory
  221.    wt: 2:   2 Reading and Writing Skills
  222.    wt: 2:   Ages 12 to 14 Skills with take home value
  223.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  224.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  225.    wt: 2:   9 Summary Degrees to Radians and back
  226.    wt: 2:   1 Degrees and Radians Introduction
  227.    wt: 2:   Vector and Complex Number Applet
  228.    wt: 2:   Parallel Lines and Parallel Transversals
  229.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  230.    wt: 2:   Parallel Lines and Interior Angles
  231.    wt: 2:   27 Logarithmic use of products of sines and cosines
  232.    wt: 2:   14 cosine even and sine and tangent are odd
  233.    wt: 2:   21 Logarithms Powers and Exponentials
  234.    wt: 2:   20 N th Roots of Complex Numbers
  235.    wt: 2:   16 References and Originality Question
  236.    wt: 2:   13 Trig Formulas for dot and cross Products
  237.    wt: 2:   12 cis formulas for sine cosines and tangent
  238.    wt: 2:   11 sine and cosine double triple angle formulas
  239.    wt: 2:   9 The complex number valued trig function cis
  240.    wt: 2:   6 Field Properties of Complex Number
  241.    wt: 2:   2 Complex Numbers made easier we hope
  242.    wt: 2:   Appetizer A Complex Number Applet
  243.    wt: 2:   10 Midpoint of [a b] and [b a]
  244.    wt: 2:   7 Exercises to test skill and concept mastery
  245.    wt: 2:   1 Numerical view of lines and their equations
  246.    wt: 2:   What is and is not here
  247.    wt: 2:   7 Complex Numbers Appetizer
  248.    wt: 2:   6 Polar Multiplication and Rotation
  249.    wt: 2:   5 Cartesian Addition and Translation
  250.    wt: 2:   4 Polar Coordinates to and from
  251.    wt: 2:   PS H Distributive Law For Complex Numbers
  252.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  253.    wt: 2:   16 Angles Subtended By Chords and Diameters
  254.    wt: 2:   6 Ruler and compass Angle Bisection
  255.    wt: 2:   1 Initial Concepts and Terms
  256.    wt: 2:   3 Lengths and Areas on Maps and Plans
  257.    wt: 2:   musings do not puiblish real numbers
  258.    wt: 2:   A Modular and Remainder Arithmetic
  259.    wt: 2:   A Signed Number Arithmetic Review
  260.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  261.    wt: 2:   22 Multiplication of Signed Numbers
  262.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  263.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  264.    wt: 2:   13 Arrows and Vectors in a Plane
  265.    wt: 2:   12 Real Numbers Line Signed Coordinates
  266.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  267.    wt: 2:   8 Division and Mulplication of Compound Fractions
  268.    wt: 2:   B Decimal Comparison and Subtraction
  269.    wt: 2:   5 Distributive Law for Whole Numbers
  270.    wt: 2:   3 Multiplicative Counting Skills Principles
  271.    wt: 2:   1 The Counting Origins of Numbers
  272.    wt: 2:   4 Rates Ratios and Proporitionality
  273.    wt: 2:   6 Equations and Systems Equivalent or Implied
  274.    wt: 2:   4 Subtraction and Division Axioms
  275.    wt: 2:   2 Addition and Multiplication Axioms
  276.    wt: 2:   4 Comparison of Negative Numbers
  277.    wt: 2:   3 More and Less Than with Unlike Signs
  278.    wt: 2:   1 Real Numbers Comparison
  279.    wt: 2:   16 Real Numbers Comparison
  280.    wt: 2:   15 Real Number Division
  281.    wt: 2:   14 Real Number Multiplication
  282.    wt: 2:   13 Real Number Subtraction
  283.    wt: 2:   12 Real Number Additive Inverses or Negatives
  284.    wt: 2:   11 Real Number Addition
  285.    wt: 2:   8 Coordinates for Maps and Planes
  286.    wt: 2:   7 Real Numbers as Line Cordinates
  287.    wt: 2:   6 Unsigned Real Numbers
  288.    wt: 2:   5 Rational Numbers More
  289.    wt: 2:   4 Rational Numbers
  290.    wt: 2:   3 Geometric Formulas and Function Notation
  291.    wt: 2:   1 Formulas Dependence and Function Notation
  292.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  293.    wt: 2:   1 Written work formats for developing and showing skill
  294.    wt: 2:   5 Talking about Numbers and Quantities
  295.    wt: 2:   4 A Brief Story of numbers and algebra
  296.    wt: 2:   016 Numbering Occidental Calendar Days
  297.    wt: 2:   015 School and work day counting tables
  298.    wt: 2:   011 Division of Time Intervals By Numbers
  299.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  300.    wt: 2:   4 Mixing and Changing Units of Time
  301.    wt: 2:   3 Units and Lengths of Time
  302.    wt: 2:   2 Time and Date Matters in School
  303.    wt: 2:   1 Intro of Kids To Time Date Skills
  304.    wt: 2:   Example 1. Area Between x and x squared
  305.    wt: 2:   38 Formulas and derivatives for powers and roots
  306.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  307.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  308.    wt: 2:   9 Limits Continuity and Composition
  309.    wt: 2:   5 Jumps and absence of unlimited error control
  310.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  311.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  312.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  313.    wt: 2:   Appendix E. How To Study Mathematics and Why
  314.    wt: 2:   Appendix D. What to do in School and Why
  315.    wt: 2:   Chapter 31 Direct and Indirect Reason
  316.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  317.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  318.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  319.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  320.    wt: 2:   Chapter 20. Degrees and Radians
  321.    wt: 2:   Chapter 19. Functions and Sets
  322.    wt: 2:   Chapter 12. Shorthand Usage Guide
  323.    wt: 2:   Chapter 11. Why Shorthand
  324.    wt: 2:   Chapter 10 Describing and Changing Calculations
  325.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  326.    wt: 2:   Chapter 8 Three Skills For Algebra
  327.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  328.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  329.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  330.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  331.    wt: 2:   R Why Learn Mathematics Skills
  332.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  333.    wt: 2:   O On Learning Mathematics and Science
  334.    wt: 2:   L Skills with take home value
  335.    wt: 2:   N Improving Marks on Tests and Finals
  336.    wt: 2:   J. More on written work and showing skill
  337.    wt: 2:   H Jigsaw puzzles and problem solving
  338.    wt: 2:   G. Written work formats for developing and showing skill
  339.    wt: 2:   E. When and how to correct errors
  340.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  341.    wt: 1:   Appendix 1 primary and preschool mathematic
  342.    wt: 1:   G LAMP Introduction Problem Solving Skills
  343.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  344.    wt: 1:   Skills Chapter 5 Calculus
  345.    wt: 1:   Skills Chapter 4 Logic
  346.    wt: 1:   Skills Chapter 3 Algebra
  347.    wt: 1:   Skills Chapter 2 Geometry
  348.    wt: 1:   Skills Chapter 1 Arithmetic
  349.    wt: 1:   Skills Chapter 0 Introduction
  350.    wt: 1:   7 logic review and decimals an odd combination
  351.    wt: 1:   5 logarithms and exponentials etc
  352.    wt: 1:   2 arithmetic with signed numbers
  353.    wt: 1:   1 arithmetic with unsigned numbers
  354.    wt: 1:   key notes and themes
  355.    wt: 1:   what should be learnt and When
  356.    wt: 1:   standards for course material
  357.    wt: 1:   Theory of Knowledge
  358.    wt: 1:   Education in mathematics science and technology
  359.    wt: 1:   Motivation and Context Problem
  360.    wt: 1:   fairness and inductive principles for instruction
  361.    wt: 1:   Home Tutoring and Home Schooling
  362.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  363.    wt: 1:   24 Standards For Skill Develoment Take II
  364.    wt: 1:   24 Standards For Skill Develoment
  365.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  366.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  367.    wt: 1:   17 Math Booklets for children and young teenagers
  368.    wt: 1:   14 Multiplication and Times Tables
  369.    wt: 1:   13 Addition and Addition Tables
  370.    wt: 1:   12 Goals and Objectives For Mathematics
  371.    wt: 1:   11 Help and Defend Your Child or Teens Education
  372.    wt: 1:   5 Patience Please for Yourself and Your Charges
  373.    wt: 1:   4 Learning Takes Time and Effort
  374.    wt: 1:   1 Speaking Skills
  375.    wt: 1:   Ages 12 to 14 Geometry
  376.    wt: 1:   Ages 12 to 14 Arithmetic
  377.    wt: 1:   Ages 10 to 12 Geometry
  378.    wt: 1:   Ages 10 to 12 Arithmetic
  379.    wt: 1:   Ages 9 to 10
  380.    wt: 1:   Ages 8 to 9
  381.    wt: 1:   Ages 7 to 8
  382.    wt: 1:   Ages 6 to 7
  383.    wt: 1:   Ages 4 plus to 5 plus
  384.    wt: 1:   Ages 3 plus to 4 plus
  385.    wt: 1:   26 Function definitions done and coming
  386.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  387.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  388.    wt: 1:   19 Horizontal line rule and method
  389.    wt: 1:   18 Vertical Line Rule and Method
  390.    wt: 1:   17 Function maxima minima and their location
  391.    wt: 1:   11 Function Domain Range Source and Targets
  392.    wt: 1:   9 Set theory term relation possible origins
  393.    wt: 1:   8 Set view of relations and functions
  394.    wt: 1:   6 Set Existence Formation and Notation
  395.    wt: 1:   4 Function notation in and beyond mathematics
  396.    wt: 1:   2 Algebraic use of function notation
  397.    wt: 1:   9 quadratics physical and further context
  398.    wt: 1:   8 quadratics backward use of various formulas
  399.    wt: 1:   11 Growth and Decay in Biology
  400.    wt: 1:   10 Exponential Growth and Decay Models
  401.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  402.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  403.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  404.    wt: 1:   16 cotangent function Definition Graph and Inverse
  405.    wt: 1:   15 cosecant function Definition Graph and Inverse
  406.    wt: 1:   14 secant function Definition Graph and Inverse
  407.    wt: 1:   13 cosecant function Definition Graph and Inverse
  408.    wt: 1:   8 Radian Measures of Common Angles
  409.    wt: 1:   7 Radian Measures in special Triangles
  410.    wt: 1:   6 Radian Measure to Degrees
  411.    wt: 1:   5 Degrees to Radian Measure
  412.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  413.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  414.    wt: 1:   2 Radian Measure Numerical Value of one degree
  415.    wt: 1:   A Global Time and Navigation
  416.    wt: 1:   15 Dot and Cross Product
  417.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  418.    wt: 1:   4 graphing y=Asin(x c)
  419.    wt: 1:   3 graphing y=f(x c) plus K
  420.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  421.    wt: 1:   1 graphing y=f(x a)
  422.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  423.    wt: 1:   Triangle Angles Sum To 180 Degrees
  424.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  425.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  426.    wt: 1:   Straight Lines ASA Intersection Study More
  427.    wt: 1:   Straight Lines ASA Intersection Study
  428.    wt: 1:   Straight Lines Instersection Solving Equations
  429.    wt: 1:   Straight Lines Intersection of
  430.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  431.    wt: 1:   C Straight Lines Slope from Coordinates
  432.    wt: 1:   B Straight Line Slope Scaling Properties More
  433.    wt: 1:   A Straight Line Slope Scaling Properties
  434.    wt: 1:   14 Straight Lines Equations General Case
  435.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  436.    wt: 1:   12 Straight Lines Graphing mx plus b
  437.    wt: 1:   11 Straight Lines Graphing y=mx
  438.    wt: 1:   10 Straight Lines through Origin Equations More
  439.    wt: 1:   9 Straight Lines through Origin Equations
  440.    wt: 1:   8 Straight Lines Equation for vertical
  441.    wt: 1:   7 Tangent Function is odd on this domain
  442.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  443.    wt: 1:   5 Tangent Function Graph
  444.    wt: 1:   4 Tangent Function Properties
  445.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  446.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  447.    wt: 1:   1 Straight Lines Slope Concept
  448.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  449.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  450.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  451.    wt: 1:   29 secant cosecant and cotangent for acute angles
  452.    wt: 1:   26 Formulas for products of sines and cosines
  453.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  454.    wt: 1:   21 sine and cosine Half Angle Formulas
  455.    wt: 1:   20 sine and cosine Double Angle Formulas
  456.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  457.    wt: 1:   17E Trig Formulas for dot and cross Products
  458.    wt: 1:   17D cis formulas for sine cosines and tangent
  459.    wt: 1:   17C sine and cosine double triple angle formulas
  460.    wt: 1:   17A The complex number valued trig function cis
  461.    wt: 1:   10 Graphs of sines and cosines many periods
  462.    wt: 1:   9 Graphs of sine and cosine over one period
  463.    wt: 1:   7 period of sine and cosine
  464.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  465.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  466.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  467.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  468.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  469.    wt: 1:   19 N th Roots of Unity
  470.    wt: 1:   18 Sixth Roots of Unity
  471.    wt: 1:   17 Cube Roots of unity
  472.    wt: 1:   15 Pythagorean Theorem Converse
  473.    wt: 1:   14 Law of cosines
  474.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  475.    wt: 1:   8 Unit Circle Development of Trigonometry
  476.    wt: 1:   7 Second Way to Calculate Products
  477.    wt: 1:   5 An Easy Proof of the Distributive Law
  478.    wt: 1:   4 Multiplication Properties
  479.    wt: 1:   3 Addition Properties
  480.    wt: 1:   1 Rectangular Polar Coordinates Review
  481.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  482.    wt: 1:   3 Trigonometric Ratios sine and cosine
  483.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  484.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  485.    wt: 1:   8 Similarity of Triangles and Polygons
  486.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  487.    wt: 1:   Four Simple Exercises
  488.    wt: 1:   12 Links Lessons elsewhere
  489.    wt: 1:   11 A Partial Summary
  490.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  491.    wt: 1:   8 Mid Point Formula
  492.    wt: 1:   6 Intersection of lines by solving linear systems
  493.    wt: 1:   5 Algebraic View of Slopes
  494.    wt: 1:   4 Equations for lines three forms
  495.    wt: 1:   3 Slope product for perpendicular lines
  496.    wt: 1:   2 point slope equation for a line
  497.    wt: 1:   13 Pythagorean spatial distance formulas
  498.    wt: 1:   12 Spatial Coordinates
  499.    wt: 1:   11 Triangle Inequality
  500.    wt: 1:   10 Pythagorean plane distance formula
  501.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  502.    wt: 1:   8 Distance Between Points on a Line
  503.    wt: 1:   3 Rectangular Coordinates Review
  504.    wt: 1:   2 Cartesian Coordinates with signs
  505.    wt: 1:   1 Cartesian Coordinates sans signs
  506.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  507.    wt: 1:   PS G Rotation Distributes over Addition
  508.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  509.    wt: 1:   PS E Multiplication with Polar Coordinates
  510.    wt: 1:   PS D Addition with Cartesian Coordinates
  511.    wt: 1:   PS B Parallelogram Construction Methods
  512.    wt: 1:   PS A Kite Construction Methods
  513.    wt: 1:   21 Parallelograms
  514.    wt: 1:   19 Right Triangle Similarity
  515.    wt: 1:   18 Triangle Similarity Take 1
  516.    wt: 1:   17 Right Bisectors of Triangle Sides
  517.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  518.    wt: 1:   14 Parallel Lines Postulate
  519.    wt: 1:   13 Angle Side Angle Failure
  520.    wt: 1:   12 Side Angle Side Failure
  521.    wt: 1:   11 Triangle Construction Fails
  522.    wt: 1:   10 Dropping a perpendicular to line
  523.    wt: 1:   9 Construction of a right bisector
  524.    wt: 1:   8 Isoceles Triangles
  525.    wt: 1:   7 Angle Side Angle
  526.    wt: 1:   5 Side Angle Side
  527.    wt: 1:   4 Side Side Side
  528.    wt: 1:   3 Isometry of Triangles Congruence
  529.    wt: 1:   2 Correspondence between Triangles
  530.    wt: 1:   Short Course on Euclidean Geometry
  531.    wt: 1:   A Measurement with Ruler Proper Use
  532.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  533.    wt: 1:   26 More Less Greater Than Comparison
  534.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  535.    wt: 1:   23 Distributive Law Two Derivations
  536.    wt: 1:   21 Addition of Multiples of a Single Vector
  537.    wt: 1:   19 Signed Multiples of Vectors
  538.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  539.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  540.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  541.    wt: 1:   15 Head to Tails in place Addition Associative
  542.    wt: 1:   9 Division with Digits after Decimal Point
  543.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  544.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  545.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  546.    wt: 1:   4 Location of Point in Decimal Addition
  547.    wt: 1:   3 Location of Point in Decimal Multiplication
  548.    wt: 1:   2 Counting Digits in Decimal Multiplication
  549.    wt: 1:   1 Fractions with Finite Decimal Expansions
  550.    wt: 1:   E Long Division Methods more
  551.    wt: 1:   D Long Division Methods
  552.    wt: 1:   C Three Decimal Subtraction Methods
  553.    wt: 1:   A Decimal Addition Columm Methods
  554.    wt: 1:   8 Column Multiplication Methods in General
  555.    wt: 1:   7 Decimals Multiplication Methods Examples
  556.    wt: 1:   6 Column Methods for Decimal Multiplication
  557.    wt: 1:   4 Commutative Law Groups Counting Form
  558.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  559.    wt: 1:   5 Proportionality in Equivalent Fractions
  560.    wt: 1:   3 Proportionality Examples
  561.    wt: 1:   2 Algebraic View
  562.    wt: 1:   1 What is Proportionality
  563.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  564.    wt: 1:   6 Compound Interest Forward and Backwards
  565.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  566.    wt: 1:   5 Equality in Algebra
  567.    wt: 1:   3 Product Axioms Two Forms
  568.    wt: 1:   1 Equivalent Computation Rules
  569.    wt: 1:   5 Greater More Less Than Signs in General
  570.    wt: 1:   9 Coordinates for Regions in Space
  571.    wt: 1:   3 Fractions
  572.    wt: 1:   2 Integers
  573.    wt: 1:   5 Independent versus Dependent Variables
  574.    wt: 1:   4 Changing Letters
  575.    wt: 1:   2 Computation Rules Evaluation
  576.    wt: 1:   3 GE III Equation Addition and Multiplication
  577.    wt: 1:   Skill Development Notes
  578.    wt: 1:   10 One Example
  579.    wt: 1:   9 Three Examples
  580.    wt: 1:   8 One Example
  581.    wt: 1:   7 Two Examples
  582.    wt: 1:   6 Three Examples
  583.    wt: 1:   5 Three Examples
  584.    wt: 1:   4 Two Examples
  585.    wt: 1:   3 Two Examples
  586.    wt: 1:   2 Three Examples
  587.    wt: 1:   13 Naming Identifying Formulas with Words
  588.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  589.    wt: 1:   11 Volume of Sphere
  590.    wt: 1:   10 Volume of Pyramid
  591.    wt: 1:   9 Volume of Cone
  592.    wt: 1:   8 Compound Interest Formula Evaluation
  593.    wt: 1:   7 Compound Interest Formula Introduction
  594.    wt: 1:   5 Box Volume Formula Example
  595.    wt: 1:   4 Circle Area Formula Example
  596.    wt: 1:   3 Triangle Area Formula Example
  597.    wt: 1:   2 Another Rectangle Area Formula Example
  598.    wt: 1:   9 Sets in Probability and Statistics
  599.    wt: 1:   8 Sets of Numbers
  600.    wt: 1:   1 Three Skills For Algebra
  601.    wt: 1:   014 Counting Days with Calendars
  602.    wt: 1:   013 Travel Time Tables
  603.    wt: 1:   012 Division of Time Intervals by Time Intervals
  604.    wt: 1:   010 Repeated Addition of Time Intervals
  605.    wt: 1:   8 Addition of Time Intervals via subtotaling
  606.    wt: 1:   7 Addition of Time Intervals
  607.    wt: 1:   6 How long is a million seconds
  608.    wt: 1:   5 Conversion Arithmetic
  609.    wt: 1:   Example 2 volume of a cone
  610.    wt: 1:   Example 1 volume of a pyramid
  611.    wt: 1:   Volume of Solid by Cross Sections Lesson
  612.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  613.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  614.    wt: 1:   Example 4 with x function of y
  615.    wt: 1:   Example 3
  616.    wt: 1:   Example 2
  617.    wt: 1:   Example 1
  618.    wt: 1:   Area Between Curves Lesson Take 2
  619.    wt: 1:   Area Between Curves Lesson Take 1
  620.    wt: 1:   Summary
  621.    wt: 1:   17 Derivatives of quotients of sine and cosine
  622.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  623.    wt: 1:   15 sine and cosine derivatives 3rd step
  624.    wt: 1:   14 sine and cosine derivatives 2nd step
  625.    wt: 1:   13 sine and cosine derivatives 1st step
  626.    wt: 1:   11 Limits at infinity Three Examples
  627.    wt: 1:   10 Three one sided limits with infinite values
  628.    wt: 1:   8 Four Animated Examples
  629.    wt: 1:   7 Evaluation by immediate or delayed substitution
  630.    wt: 1:   6 Continuity at a point
  631.    wt: 1:   4 Numerical properties
  632.    wt: 1:   3 Decimal insights for limits continuity convergence
  633.    wt: 1:   2 Algebraic codification
  634.    wt: 1:   1 Numerical introduction
  635.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  636.    wt: 1:   PostScript For and Against Decimal Perspectives
  637.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  638.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  639.    wt: 1:   Chapter 22 Complex Numbers
  640.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  641.    wt: 1:   Chapter 12. Units and Slopes
  642.    wt: 1:   Chapter 10 Slopes and Units
  643.    wt: 1:   Chapter 7 Slopes and Velocity
  644.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  645.    wt: 1:   Chapter 2. Slopes and Ski Trails
  646.    wt: 1:   Postscript More on Better Performance
  647.    wt: 1:   Postscript For Better Performance
  648.    wt: 1:   Appendix C. How to Read
  649.    wt: 1:   Appendix B. How To Learn
  650.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  651.    wt: 1:   Chapter 30 Truth Tables
  652.    wt: 1:   Chapter 28 Occurrence Tables
  653.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  654.    wt: 1:   Chapter 25. Mathematical Induction Examples
  655.    wt: 1:   Chapter 23. Notation For Sums
  656.    wt: 1:   Chapter 21. Third Reading Guide
  657.    wt: 1:   Chapter 18. Rules for Algebra
  658.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  659.    wt: 1:   Chapter 16. Painless Theorem Proving
  660.    wt: 1:   Chapter 15. Solving Linear Equations
  661.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  662.    wt: 1:   Chapter 13. Second Reading Guide
  663.    wt: 1:   Postscript What is a Variable
  664.    wt: 1:   Solutions For Arithmetic Exercises
  665.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  666.    wt: 1:   Chapter 6 Change of Language
  667.    wt: 1:   Chapter 4 Longer Chains of Reason
  668.    wt: 1:   Chapter 3 Chains of Reason
  669.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  670.    wt: 1:   Foreword
  671.    wt: 1:   Chapter 2 For and Against Mathematics
  672.    wt: 1:   Postscript B More on Story Telling and Reason
  673.    wt: 1:   Chapter 24 Direct and Indirect Reason
  674.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  675.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  676.    wt: 1:   Chapter 18 Sense and Knowledge
  677.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  678.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  679.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  680.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  681.    wt: 1:   S Adding words to algebra
  682.    wt: 1:   N Mathematics Prepare for College Studies
  683.    wt: 1:   M Words to extend arithmetic
  684.    wt: 1:   H more Routine to non routine problem solving
  685.    wt: 1:   F. The student teacher tutor feedback loop
  686.    wt: 1:   D. Check work a must with a caution
  687.    wt: 1:   C. Domino effect of being careful
  688.    wt: 1:   B. Domino effect of errors
  689.    wt: 1:   A. Skill has to be seen to believed
  690.    wt: 1:   Chapter 8 Skipped Topics and Why
  691.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  692.    wt: 1:   Chapter 6 More Algebra and Geometry
  693.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  694.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  695.    wt: 1:   Helping the Blind in Logic and Mathematics
  696.    wt: 1:   More Algebra and Slope based Calculus Preview
  697.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  698.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  699.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  700.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  701.    wt: 1:   The Math Forum and Site Content
  702.    wt: 13:   17 GCD LCM of 85 and 60 via Prime
  703.    wt: 13:   16 GCD and LCM of 650 225 via Prime
  704.    wt: 12:   14 GCD of 650 110 via Primes LCM via Product Rule
  705.    wt: 12:   9 GCD of 360 110 via Primes and Euclid Algorithm
  706.    wt: 12:   7 GCD and LCM from prime factorization
  707.    wt: 12:   4 LCM of 8 and 10 via Prime
  708.    wt: 12:   LCM 60 45 Avoid List Method Use Prime
  709.    wt: 11:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  710.    wt: 11:   6 GCD from Prime
  711.    wt: 11:   12 GCD 2700 288 via Prime
  712.    wt: 11:   12 LCD GCD and LCM using Primes
  713.    wt: 10:   13 GCD from given Prime Factorization
  714.    wt: 10:   11 GCD 2700 288 via Euclid Algorithm
  715.    wt: 10:   10 Euclid Algorithm with 129 125 and with 45 14
  716.    wt: 10:   8 GCD from Euclidean Algorithm
  717.    wt: 10:   5 Common Divisors 60 45 via Prime
  718.    wt: 10:   2 Least Common Multiple LCM intro via list method
  719.    wt: 10:   1 Least Common Multiples LCM Introduction

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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