Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

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

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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46 matches:

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

Web Page Search

371 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 3:   B Fractions and Two Term Ratios
  3.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  4.    wt: 3:   9 Improper Fractions and Mixed Numbers
  5.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  6.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  7.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 2:   Ramblings Extrinsic numbers theory
  9.    wt: 2:   2 Reading and Writing Skills
  10.    wt: 2:   Vector and Complex Number Applet
  11.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  12.    wt: 2:   14 cosine even and sine and tangent are odd
  13.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  14.    wt: 2:   3 Trigonometric Ratios sine and cosine
  15.    wt: 2:   3 Lengths and Areas on Maps and Plans
  16.    wt: 2:   11 Signed Number Addition and Addition Properties
  17.    wt: 2:   8 Division and Mulplication of Compound Fractions
  18.    wt: 2:   2 Combing Counts Addition Skills and Principles
  19.    wt: 2:   4 Rates Ratios and Proporitionality
  20.    wt: 2:   2 More and Less Than for Counts and Measures
  21.    wt: 2:   10 Real Number Lengths and Signs
  22.    wt: 2:   1 Whole and Natural Numbers
  23.    wt: 2:   5 Talking about Numbers and Quantities
  24.    wt: 2:   4 A Brief Story of numbers and algebra
  25.    wt: 2:   1 More and Less Than for Counts and Measures
  26.    wt: 2:   11 What are real lengths and numbers
  27.    wt: 2:   5 lengths and signs of numbers
  28.    wt: 2:   2 signed and unsigned numbers as coordinates
  29.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  30.    wt: 2:   3 Multiplying Units and Numbers
  31.    wt: 2:   21 Reciprocals for Fractions and Wholes
  32.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  33.    wt: 2:   8 What skills and work habits to require
  34.    wt: 2:   6. Counting and adding units and mixed units
  35.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  36.    wt: 2:   Quick history of numbers and algebra
  37.    wt: 2:   Exact Arithmetic Wholes and Fractions
  38.    wt: 2:   38 Formulas and derivatives for powers and roots
  39.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  40.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  41.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  42.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  43.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  44.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  45.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  46.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  47.    wt: 2:   I. Logic and language skills
  48.    wt: 2:   How to Build Skills and Confidence
  49.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  50.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  51.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  52.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  53.    wt: 1:   Appendix 1 primary and preschool mathematic
  54.    wt: 1:   G LAMP Introduction Problem Solving Skills
  55.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  56.    wt: 1:   Skills Chapter 5 Calculus
  57.    wt: 1:   Skills Chapter 4 Logic
  58.    wt: 1:   Skills Chapter 3 Algebra
  59.    wt: 1:   Skills Chapter 2 Geometry
  60.    wt: 1:   Skills Chapter 1 Arithmetic
  61.    wt: 1:   Skills Chapter 0 Introduction
  62.    wt: 1:   7 logic review and decimals an odd combination
  63.    wt: 1:   5 logarithms and exponentials etc
  64.    wt: 1:   2 arithmetic with signed numbers
  65.    wt: 1:   1 arithmetic with unsigned numbers
  66.    wt: 1:   key notes and themes
  67.    wt: 1:   what should be learnt and When
  68.    wt: 1:   teaching tutoring algebraic reason
  69.    wt: 1:   standards for course material
  70.    wt: 1:   Theory of Knowledge
  71.    wt: 1:   Education in mathematics science and technology
  72.    wt: 1:   Motivation and Context Problem
  73.    wt: 1:   fairness and inductive principles for instruction
  74.    wt: 1:   Home Tutoring and Home Schooling
  75.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  76.    wt: 1:   24 Standards For Skill Develoment Take II
  77.    wt: 1:   24 Standards For Skill Develoment
  78.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  79.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  80.    wt: 1:   17 Math Booklets for children and young teenagers
  81.    wt: 1:   14 Multiplication and Times Tables
  82.    wt: 1:   13 Addition and Addition Tables
  83.    wt: 1:   12 Goals and Objectives For Mathematics
  84.    wt: 1:   11 Help and Defend Your Child or Teens Education
  85.    wt: 1:   5 Patience Please for Yourself and Your Charges
  86.    wt: 1:   4 Learning Takes Time and Effort
  87.    wt: 1:   1 Speaking Skills
  88.    wt: 1:   Ages 12 to 14 Skills with take home value
  89.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  90.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  91.    wt: 1:   26 Function definitions done and coming
  92.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  93.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  94.    wt: 1:   19 Horizontal line rule and method
  95.    wt: 1:   18 Vertical Line Rule and Method
  96.    wt: 1:   17 Function maxima minima and their location
  97.    wt: 1:   11 Function Domain Range Source and Targets
  98.    wt: 1:   9 Set theory term relation possible origins
  99.    wt: 1:   8 Set view of relations and functions
  100.    wt: 1:   6 Set Existence Formation and Notation
  101.    wt: 1:   4 Function notation in and beyond mathematics
  102.    wt: 1:   2 Algebraic use of function notation
  103.    wt: 1:   9 quadratics physical and further context
  104.    wt: 1:   11 Growth and Decay in Biology
  105.    wt: 1:   10 Exponential Growth and Decay Models
  106.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  107.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  108.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  109.    wt: 1:   Rewriting algebraic substitution as function substitutions
  110.    wt: 1:   16 cotangent function Definition Graph and Inverse
  111.    wt: 1:   15 cosecant function Definition Graph and Inverse
  112.    wt: 1:   14 secant function Definition Graph and Inverse
  113.    wt: 1:   13 cosecant function Definition Graph and Inverse
  114.    wt: 1:   9 Summary Degrees to Radians and back
  115.    wt: 1:   1 Degrees and Radians Introduction
  116.    wt: 1:   A Global Time and Navigation
  117.    wt: 1:   15 Dot and Cross Product
  118.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  119.    wt: 1:   Parallel Lines and Parallel Transversals
  120.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  121.    wt: 1:   Parallel Lines and Interior Angles
  122.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  123.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  124.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  125.    wt: 1:   29 secant cosecant and cotangent for acute angles
  126.    wt: 1:   27 Logarithmic use of products of sines and cosines
  127.    wt: 1:   26 Formulas for products of sines and cosines
  128.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  129.    wt: 1:   21 sine and cosine Half Angle Formulas
  130.    wt: 1:   20 sine and cosine Double Angle Formulas
  131.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  132.    wt: 1:   17E Trig Formulas for dot and cross Products
  133.    wt: 1:   17D cis formulas for sine cosines and tangent
  134.    wt: 1:   17C sine and cosine double triple angle formulas
  135.    wt: 1:   17A The complex number valued trig function cis
  136.    wt: 1:   10 Graphs of sines and cosines many periods
  137.    wt: 1:   9 Graphs of sine and cosine over one period
  138.    wt: 1:   7 period of sine and cosine
  139.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  140.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  141.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  142.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  143.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  144.    wt: 1:   21 Logarithms Powers and Exponentials
  145.    wt: 1:   20 N th Roots of Complex Numbers
  146.    wt: 1:   16 References and Originality Question
  147.    wt: 1:   13 Trig Formulas for dot and cross Products
  148.    wt: 1:   12 cis formulas for sine cosines and tangent
  149.    wt: 1:   11 sine and cosine double triple angle formulas
  150.    wt: 1:   9 The complex number valued trig function cis
  151.    wt: 1:   6 Field Properties of Complex Number
  152.    wt: 1:   2 Complex Numbers made easier we hope
  153.    wt: 1:   Appetizer A Complex Number Applet
  154.    wt: 1:   7 Trignometric Ratios Unit Circle
  155.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  156.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  157.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  158.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  159.    wt: 1:   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:   5 Algebraic View of Slopes
  164.    wt: 1:   1 Numerical view of lines and their equations
  165.    wt: 1:   What is and is not here
  166.    wt: 1:   7 Complex Numbers Appetizer
  167.    wt: 1:   6 Polar Multiplication and Rotation
  168.    wt: 1:   5 Cartesian Addition and Translation
  169.    wt: 1:   4 Polar Coordinates to and from
  170.    wt: 1:   PS H Distributive Law For Complex Numbers
  171.    wt: 1:   16 Angles Subtended By Chords and Diameters
  172.    wt: 1:   6 Ruler and compass Angle Bisection
  173.    wt: 1:   1 Initial Concepts and Terms
  174.    wt: 1:   musings do not puiblish real numbers
  175.    wt: 1:   A Modular and Remainder Arithmetic
  176.    wt: 1:   A Signed Number Arithmetic Review
  177.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  178.    wt: 1:   22 Multiplication of Signed Numbers
  179.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  180.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  181.    wt: 1:   13 Arrows and Vectors in a Plane
  182.    wt: 1:   12 Real Numbers Line Signed Coordinates
  183.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  184.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  185.    wt: 1:   1 Fractions with Finite Decimal Expansions
  186.    wt: 1:   B Decimal Comparison and Subtraction
  187.    wt: 1:   5 Distributive Law for Whole Numbers
  188.    wt: 1:   3 Multiplicative Counting Skills Principles
  189.    wt: 1:   1 The Counting Origins of Numbers
  190.    wt: 1:   3 Inequalities Algebraically
  191.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  192.    wt: 1:   5 Proportionality in Equivalent Fractions
  193.    wt: 1:   2 Algebraic View
  194.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  195.    wt: 1:   6 Compound Interest Forward and Backwards
  196.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  197.    wt: 1:   6 Equations and Systems Equivalent or Implied
  198.    wt: 1:   4 Subtraction and Division Axioms
  199.    wt: 1:   2 Addition and Multiplication Axioms
  200.    wt: 1:   4 Comparison of Negative Numbers
  201.    wt: 1:   3 More and Less Than with Unlike Signs
  202.    wt: 1:   1 Real Numbers Comparison
  203.    wt: 1:   16 Real Numbers Comparison
  204.    wt: 1:   15 Real Number Division
  205.    wt: 1:   14 Real Number Multiplication
  206.    wt: 1:   13 Real Number Subtraction
  207.    wt: 1:   12 Real Number Additive Inverses or Negatives
  208.    wt: 1:   11 Real Number Addition
  209.    wt: 1:   8 Coordinates for Maps and Planes
  210.    wt: 1:   7 Real Numbers as Line Cordinates
  211.    wt: 1:   6 Unsigned Real Numbers
  212.    wt: 1:   5 Rational Numbers More
  213.    wt: 1:   4 Rational Numbers
  214.    wt: 1:   3 Fractions
  215.    wt: 1:   3 Geometric Formulas and Function Notation
  216.    wt: 1:   1 Formulas Dependence and Function Notation
  217.    wt: 1:   3 GE III Equation Addition and Multiplication
  218.    wt: 1:   6 Algebraic Solution Example
  219.    wt: 1:   5 Algebraic Solutions Introduction
  220.    wt: 1:   1 Written work formats for developing and showing skill
  221.    wt: 1:   9 Sets in Probability and Statistics
  222.    wt: 1:   8 Sets of Numbers
  223.    wt: 1:   1 Three Skills For Algebra
  224.    wt: 1:   3 Comparison of Negative Numbers
  225.    wt: 1:   2 More and Less Than with Unlike Signs
  226.    wt: 1:   1 Squares and Square Roots Introduction
  227.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  228.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  229.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  230.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  231.    wt: 1:   7 GCD and LCM from prime factorization
  232.    wt: 1:   4 LCM of 8 and 10 via Prime
  233.    wt: 1:   3 Counting with Tables and Trees II
  234.    wt: 1:   2 Counting with Tables and Trees I
  235.    wt: 1:   1 Counting and Counting Methods I
  236.    wt: 1:   10 dividing signed numbers
  237.    wt: 1:   9 subtracting signed numbers
  238.    wt: 1:   8 multiplying signed numbers
  239.    wt: 1:   7 negative and additive inverse
  240.    wt: 1:   6 adding signed numbers
  241.    wt: 1:   3 signed coordinates for maps and planes
  242.    wt: 1:   6 Simplification of Fractions with Units
  243.    wt: 1:   4 Fractions with Units
  244.    wt: 1:   2 Equality and Units
  245.    wt: 1:   1 Addition and Subtraction with Units
  246.    wt: 1:   D Three Term Ratios
  247.    wt: 1:   22 Complex Compound Fractions
  248.    wt: 1:   20 Dividing Fractions the Why
  249.    wt: 1:   19 Dividing Fractions How TO
  250.    wt: 1:   17 Efficient Ways to Add and Subtract
  251.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  252.    wt: 1:   14 Adding and Subtracting with Like Denominators
  253.    wt: 1:   13 Fraction Comparison Algebraic View
  254.    wt: 1:   11 Simplification an Algebraic View
  255.    wt: 1:   6 Multiplication of Mixed Numbers
  256.    wt: 1:   6 Multiplication Algebraically Take II
  257.    wt: 1:   5 Equivalent Fractions
  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:   A Decimals Modular and Remainder Arithmetic
  263.    wt: 1:   17 Identify and Count Factors using Primes
  264.    wt: 1:   12 LCD GCD and LCM using Primes
  265.    wt: 1:   7 Calculator Usage Notes and Cautions
  266.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  267.    wt: 1:   5 Prime Factorization and a Square Rule
  268.    wt: 1:   3 video Primes and Composites from 9 times table
  269.    wt: 1:   2 Prime and Composites less than 16
  270.    wt: 1:   Division with Counts and Length
  271.    wt: 1:   Long Division forwards and backwards Example 3
  272.    wt: 1:   Long Division forwards and backwards Example 2
  273.    wt: 1:   Long Division forwards and backwards Example 1
  274.    wt: 1:   10 Division by Five Long and Short Ways
  275.    wt: 1:   4 Two and Three Digit Multipliers
  276.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  277.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  278.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  279.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  280.    wt: 1:   7 Adding decimal fractions using decimal point
  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:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  285.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  286.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  287.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  288.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  289.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  290.    wt: 1:   016 Numbering Occidental Calendar Days
  291.    wt: 1:   015 School and work day counting tables
  292.    wt: 1:   011 Division of Time Intervals By Numbers
  293.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  294.    wt: 1:   4 Mixing and Changing Units of Time
  295.    wt: 1:   3 Units and Lengths of Time
  296.    wt: 1:   2 Time and Date Matters in School
  297.    wt: 1:   1 Intro of Kids To Time Date Skills
  298.    wt: 1:   Example 1. Area Between x and x squared
  299.    wt: 1:   17 Derivatives of quotients of sine and cosine
  300.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  301.    wt: 1:   15 sine and cosine derivatives 3rd step
  302.    wt: 1:   14 sine and cosine derivatives 2nd step
  303.    wt: 1:   13 sine and cosine derivatives 1st step
  304.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  305.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  306.    wt: 1:   9 Limits Continuity and Composition
  307.    wt: 1:   5 Jumps and absence of unlimited error control
  308.    wt: 1:   2 Algebraic codification
  309.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  310.    wt: 1:   E2 Algebraic Properties of Limits
  311.    wt: 1:   PostScript For and Against Decimal Perspectives
  312.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  313.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  314.    wt: 1:   Chapter 22 Complex Numbers
  315.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  316.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  317.    wt: 1:   Chapter 12. Units and Slopes
  318.    wt: 1:   Chapter 10 Slopes and Units
  319.    wt: 1:   Chapter 7 Slopes and Velocity
  320.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  321.    wt: 1:   Chapter 2. Slopes and Ski Trails
  322.    wt: 1:   Appendix E. How To Study Mathematics and Why
  323.    wt: 1:   Appendix D. What to do in School and Why
  324.    wt: 1:   Chapter 31 Direct and Indirect Reason
  325.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  326.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  327.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  328.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  329.    wt: 1:   Chapter 20. Degrees and Radians
  330.    wt: 1:   Chapter 19. Functions and Sets
  331.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  332.    wt: 1:   Chapter 12. Shorthand Usage Guide
  333.    wt: 1:   Chapter 11. Why Shorthand
  334.    wt: 1:   Chapter 10 Describing and Changing Calculations
  335.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  336.    wt: 1:   Chapter 8 Three Skills For Algebra
  337.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  338.    wt: 1:   Chapter 2 For and Against Mathematics
  339.    wt: 1:   Postscript B More on Story Telling and Reason
  340.    wt: 1:   Chapter 24 Direct and Indirect Reason
  341.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  342.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  343.    wt: 1:   Chapter 18 Sense and Knowledge
  344.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  345.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  346.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  347.    wt: 1:   R Why Learn Mathematics Skills
  348.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  349.    wt: 1:   O On Learning Mathematics and Science
  350.    wt: 1:   L Skills with take home value
  351.    wt: 1:   N Improving Marks on Tests and Finals
  352.    wt: 1:   J. More on written work and showing skill
  353.    wt: 1:   H Jigsaw puzzles and problem solving
  354.    wt: 1:   G. Written work formats for developing and showing skill
  355.    wt: 1:   E. When and how to correct errors
  356.    wt: 1:   Chapter 8 Skipped Topics and Why
  357.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  358.    wt: 1:   Chapter 6 More Algebra and Geometry
  359.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  360.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  361.    wt: 1:   7 Games and Activities for Instruction
  362.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  363.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  364.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  365.    wt: 1:   Helping the Blind in Logic and Mathematics
  366.    wt: 1:   More Algebra and Slope based Calculus Preview
  367.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  368.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  369.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  370.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  371.    wt: 1:   The Math Forum and Site Content

Extended Search

726 matches:

  1.    wt: 9:   1 More and Less Than for Counts and Measures
  2.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  3.    wt: 9:   3 Multiplying Units and Numbers
  4.    wt: 9:   21 Working With Signs
  5.    wt: 9:   18 Efficient Ways to Multiply
  6.    wt: 9:   16 Addition Subtraction Comparision Compared
  7.    wt: 9:   12 Fraction Comparison
  8.    wt: 9:   8 Numerals Fractionals Quantals Take II
  9.    wt: 9:   7 Numerals Fractionals Quantals
  10.    wt: 9:   4 Fraction Multiplication
  11.    wt: 9:   3 Unit fraction of a fraction
  12.    wt: 9:   2 Unit Fraction Multiplication
  13.    wt: 9:   1 What is a fraction Take II
  14.    wt: 9:   1 What is a fraction
  15.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  16.    wt: 8:   3 Comparison of Negative Numbers
  17.    wt: 8:   2 More and Less Than with Unlike Signs
  18.    wt: 8:   11 What are real lengths and numbers
  19.    wt: 8:   5 lengths and signs of numbers
  20.    wt: 8:   2 signed and unsigned numbers as coordinates
  21.    wt: 8:   6 Simplification of Fractions with Units
  22.    wt: 8:   4 Fractions with Units
  23.    wt: 8:   2 Equality and Units
  24.    wt: 8:   1 Addition and Subtraction with Units
  25.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  26.    wt: 8:   8 What skills and work habits to require
  27.    wt: 8:   6. Counting and adding units and mixed units
  28.    wt: 7:   4 Greater More Less Than Signs in General
  29.    wt: 7:   1 Squares and Square Roots Introduction
  30.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  31.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  32.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  33.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  34.    wt: 7:   7 GCD and LCM from prime factorization
  35.    wt: 7:   4 LCM of 8 and 10 via Prime
  36.    wt: 7:   3 Counting with Tables and Trees II
  37.    wt: 7:   2 Counting with Tables and Trees I
  38.    wt: 7:   1 Counting and Counting Methods I
  39.    wt: 7:   10 dividing signed numbers
  40.    wt: 7:   9 subtracting signed numbers
  41.    wt: 7:   8 multiplying signed numbers
  42.    wt: 7:   7 negative and additive inverse
  43.    wt: 7:   6 adding signed numbers
  44.    wt: 7:   3 signed coordinates for maps and planes
  45.    wt: 7:   7 Converting or Changing Units
  46.    wt: 7:   6 Multiplication by Natural Numbers
  47.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  48.    wt: 7:   17 Identify and Count Factors using Primes
  49.    wt: 7:   12 LCD GCD and LCM using Primes
  50.    wt: 7:   7 Calculator Usage Notes and Cautions
  51.    wt: 7:   5 Prime Factorization and a Square Rule
  52.    wt: 7:   3 video Primes and Composites from 9 times table
  53.    wt: 7:   2 Prime and Composites less than 16
  54.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  55.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  56.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  57.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  58.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  59.    wt: 7:   7 Adding decimal fractions using decimal point
  60.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  61.    wt: 7:   Quick history of numbers and algebra
  62.    wt: 7:   Exact Arithmetic Wholes and Fractions
  63.    wt: 6:   5 Square Roots with primes more still
  64.    wt: 6:   4 Square Roots with primes more
  65.    wt: 6:   3 Properties of Square Roots with example
  66.    wt: 6:   2 Square Roots with Prime
  67.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  68.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  69.    wt: 6:   13 GCD from given Prime Factorization
  70.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  71.    wt: 6:   8 GCD from Euclidean Algorithm
  72.    wt: 6:   6 GCD from Prime
  73.    wt: 6:   5 Common Divisors 60 45 via Prime
  74.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  75.    wt: 6:   2 Least Common Multiple LCM intro via list method
  76.    wt: 6:   1 Least Common Multiples LCM Introduction
  77.    wt: 6:   12 GCD 2700 288 via Prime
  78.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  79.    wt: 6:   4 Counting with Trees Product Rule Take I
  80.    wt: 6:   4 signed coordinates for regions in space
  81.    wt: 6:   11 Adding Integers Formulas and Examples
  82.    wt: 6:   8 Multiplication by Signed Numbers Integers
  83.    wt: 6:   5 Zero Movement and Additive Inverses
  84.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  85.    wt: 6:   26 Divisibility by 2 3 5 Example
  86.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  87.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  88.    wt: 6:   23 Remainder Arithmetic Modulo 2
  89.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  90.    wt: 6:   21 Remainder Arithmetic Modulo 3
  91.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  92.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  93.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  94.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  95.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  96.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  97.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  98.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  99.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  100.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  101.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  102.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  103.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  104.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  105.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  106.    wt: 6:   5 Remainder Arithmetic Modulo 5
  107.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  108.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  109.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  110.    wt: 6:   1 Remainder Arithmetic Modulo 10
  111.    wt: 6:   20 Uniqueness of Prime Factorization
  112.    wt: 6:   19 video Prime Factorization Unique
  113.    wt: 6:   18 video Count Factors given Prime Factorization
  114.    wt: 6:   16 video Factors of 980 using prime
  115.    wt: 6:   15 video Factors of 20 using Prime Factorization
  116.    wt: 6:   14 video Factors of 24 Take II
  117.    wt: 6:   13 video Factors of 24 using prime
  118.    wt: 6:   11 Efficient Square Rule Use
  119.    wt: 6:   10 video Prime Factorization upto 23 squared
  120.    wt: 6:   9 video Prime Factorization upto 19 squared
  121.    wt: 6:   8 video Prime Factorization upto 19
  122.    wt: 6:   4 video Prime Factorization Introduction
  123.    wt: 6:   1 video how Products are bigger than factor
  124.    wt: 6:   Division with Counts and Length
  125.    wt: 6:   Long Division forwards and backwards Example 3
  126.    wt: 6:   Long Division forwards and backwards Example 2
  127.    wt: 6:   Long Division forwards and backwards Example 1
  128.    wt: 6:   10 Division by Five Long and Short Ways
  129.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  130.    wt: 6:   6 Multiplication Commutes Order Not Important
  131.    wt: 6:   4 Two and Three Digit Multipliers
  132.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  133.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  134.    wt: 6:   Subtraction with J Conversions Example
  135.    wt: 6:   Subtraction Another Video Lesson
  136.    wt: 6:   9 22 Minute Subtraction Review Video
  137.    wt: 6:   8 Subtraction with Units of Measure
  138.    wt: 6:   5 A Tip for Efficent Subtraction
  139.    wt: 6:   2 Subtraction Easy Case Examples
  140.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  141.    wt: 6:   5. How to add decimals C. Examples
  142.    wt: 6:   4. How to add with decimals B with conversions
  143.    wt: 6:   3. How to add with decimals A sans conversions
  144.    wt: 6:   2 Decimal Counting Practices
  145.    wt: 6:   1. Explaining Addition Table
  146.    wt: 6:   11 Place Value SI Standard International way
  147.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  148.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  149.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  150.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  151.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  152.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  153.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  154.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  155.    wt: 5:   arithmetic videos Real Player Format
  156.    wt: 5:   D Remainders Modulo 11 Pair Rule
  157.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  158.    wt: 5:   B Integer Long Division Multiple Choices
  159.    wt: 5:   A Associative Law Theorectical Note
  160.    wt: 5:   13 Subtraction with Additive Inverse
  161.    wt: 5:   12 Adding Integers More Examples
  162.    wt: 5:   10 Integer Multiplication Formulas
  163.    wt: 5:   9 Multiplying Integers
  164.    wt: 5:   7 Multiplication by Signs
  165.    wt: 5:   4 Adding Movements wiht opposite directions
  166.    wt: 5:   3 Adding Movements with same direction
  167.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  168.    wt: 5:   1 Integers as Coordinates
  169.    wt: 5:   Long Division Backwards more
  170.    wt: 5:   Long Division Backward
  171.    wt: 5:   12 Why Long Division Works Take III
  172.    wt: 5:   11 Another Single Digit Divisor Example
  173.    wt: 5:   9 Why Long Division Works Take II
  174.    wt: 5:   8 Correcting the Mistake
  175.    wt: 5:   7 Long Divison Mistake Catching
  176.    wt: 5:   5 Long Division Include Zeroes or not
  177.    wt: 5:   4 Division with 2 Digit Divsors
  178.    wt: 5:   3 Division Single Digit Divisor Example
  179.    wt: 5:   2 Division with Single Digit Divisors
  180.    wt: 5:   1 Divsion Physical Examples
  181.    wt: 5:   D Decimal Multiplication Methods Derived
  182.    wt: 5:   C Counting Areas with Powers of Ten
  183.    wt: 5:   B Powers of Ten
  184.    wt: 5:   A Elementary Basis for Multiplication Methods
  185.    wt: 5:   5 Decimal Fraction Multiplication
  186.    wt: 5:   3 More One Digit Multipliers
  187.    wt: 5:   2 One Digit Multipliers
  188.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  189.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  190.    wt: 5:   Video Power Notation in Decimal Expansion
  191.    wt: 5:   1 Why 3 times 5 gives 15
  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:   P Exact Arithmetic With Whole Numbers and Fractions
  201.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  202.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  203.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  204.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  205.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  206.    wt: 3:   6 Field Properties of Complex Number
  207.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  208.    wt: 3:   3 Trigonometric Ratios sine and cosine
  209.    wt: 3:   6 Polar Multiplication and Rotation
  210.    wt: 3:   6 Ruler and compass Angle Bisection
  211.    wt: 3:   11 Signed Number Addition and Addition Properties
  212.    wt: 3:   8 Division and Mulplication of Compound Fractions
  213.    wt: 3:   2 Combing Counts Addition Skills and Principles
  214.    wt: 3:   4 Rates Ratios and Proporitionality
  215.    wt: 3:   2 More and Less Than for Counts and Measures
  216.    wt: 3:   10 Real Number Lengths and Signs
  217.    wt: 3:   1 Whole and Natural Numbers
  218.    wt: 3:   6 Algebraic Solution Example
  219.    wt: 3:   6 Three Examples
  220.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  221.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  222.    wt: 3:   I. Logic and language skills
  223.    wt: 3:   How to Build Skills and Confidence
  224.    wt: 3:   7 Games and Activities for Instruction
  225.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  226.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  227.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  228.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  229.    wt: 2:   Ramblings Extrinsic numbers theory
  230.    wt: 2:   2 Reading and Writing Skills
  231.    wt: 2:   Ages 12 to 14 Skills with take home value
  232.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  233.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  234.    wt: 2:   9 Summary Degrees to Radians and back
  235.    wt: 2:   1 Degrees and Radians Introduction
  236.    wt: 2:   Vector and Complex Number Applet
  237.    wt: 2:   Parallel Lines and Parallel Transversals
  238.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  239.    wt: 2:   Parallel Lines and Interior Angles
  240.    wt: 2:   14 cosine even and sine and tangent are odd
  241.    wt: 2:   21 Logarithms Powers and Exponentials
  242.    wt: 2:   20 N th Roots of Complex Numbers
  243.    wt: 2:   16 References and Originality Question
  244.    wt: 2:   13 Trig Formulas for dot and cross Products
  245.    wt: 2:   12 cis formulas for sine cosines and tangent
  246.    wt: 2:   11 sine and cosine double triple angle formulas
  247.    wt: 2:   9 The complex number valued trig function cis
  248.    wt: 2:   2 Complex Numbers made easier we hope
  249.    wt: 2:   Appetizer A Complex Number Applet
  250.    wt: 2:   7 Trignometric Ratios Unit Circle
  251.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  252.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  253.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  254.    wt: 2:   10 Midpoint of [a b] and [b a]
  255.    wt: 2:   7 Exercises to test skill and concept mastery
  256.    wt: 2:   6 Intersection of lines by solving linear systems
  257.    wt: 2:   5 Algebraic View of Slopes
  258.    wt: 2:   1 Numerical view of lines and their equations
  259.    wt: 2:   What is and is not here
  260.    wt: 2:   7 Complex Numbers Appetizer
  261.    wt: 2:   5 Cartesian Addition and Translation
  262.    wt: 2:   4 Polar Coordinates to and from
  263.    wt: 2:   PS H Distributive Law For Complex Numbers
  264.    wt: 2:   16 Angles Subtended By Chords and Diameters
  265.    wt: 2:   1 Initial Concepts and Terms
  266.    wt: 2:   3 Lengths and Areas on Maps and Plans
  267.    wt: 2:   musings do not puiblish real numbers
  268.    wt: 2:   A Modular and Remainder Arithmetic
  269.    wt: 2:   A Signed Number Arithmetic Review
  270.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  271.    wt: 2:   22 Multiplication of Signed Numbers
  272.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  273.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  274.    wt: 2:   13 Arrows and Vectors in a Plane
  275.    wt: 2:   12 Real Numbers Line Signed Coordinates
  276.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  277.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  278.    wt: 2:   1 Fractions with Finite Decimal Expansions
  279.    wt: 2:   B Decimal Comparison and Subtraction
  280.    wt: 2:   6 Column Methods for Decimal Multiplication
  281.    wt: 2:   5 Distributive Law for Whole Numbers
  282.    wt: 2:   3 Multiplicative Counting Skills Principles
  283.    wt: 2:   1 The Counting Origins of Numbers
  284.    wt: 2:   3 Inequalities Algebraically
  285.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  286.    wt: 2:   5 Proportionality in Equivalent Fractions
  287.    wt: 2:   2 Algebraic View
  288.    wt: 2:   6 Equations and Systems Equivalent or Implied
  289.    wt: 2:   4 Subtraction and Division Axioms
  290.    wt: 2:   2 Addition and Multiplication Axioms
  291.    wt: 2:   4 Comparison of Negative Numbers
  292.    wt: 2:   3 More and Less Than with Unlike Signs
  293.    wt: 2:   1 Real Numbers Comparison
  294.    wt: 2:   16 Real Numbers Comparison
  295.    wt: 2:   15 Real Number Division
  296.    wt: 2:   14 Real Number Multiplication
  297.    wt: 2:   13 Real Number Subtraction
  298.    wt: 2:   12 Real Number Additive Inverses or Negatives
  299.    wt: 2:   11 Real Number Addition
  300.    wt: 2:   8 Coordinates for Maps and Planes
  301.    wt: 2:   7 Real Numbers as Line Cordinates
  302.    wt: 2:   6 Unsigned Real Numbers
  303.    wt: 2:   5 Rational Numbers More
  304.    wt: 2:   4 Rational Numbers
  305.    wt: 2:   3 Fractions
  306.    wt: 2:   3 Geometric Formulas and Function Notation
  307.    wt: 2:   1 Formulas Dependence and Function Notation
  308.    wt: 2:   5 Algebraic Solutions Introduction
  309.    wt: 2:   Skill Development Notes
  310.    wt: 2:   10 One Example
  311.    wt: 2:   9 Three Examples
  312.    wt: 2:   8 One Example
  313.    wt: 2:   7 Two Examples
  314.    wt: 2:   5 Three Examples
  315.    wt: 2:   4 Two Examples
  316.    wt: 2:   3 Two Examples
  317.    wt: 2:   2 Three Examples
  318.    wt: 2:   5 Talking about Numbers and Quantities
  319.    wt: 2:   4 A Brief Story of numbers and algebra
  320.    wt: 2:   016 Numbering Occidental Calendar Days
  321.    wt: 2:   015 School and work day counting tables
  322.    wt: 2:   011 Division of Time Intervals By Numbers
  323.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  324.    wt: 2:   4 Mixing and Changing Units of Time
  325.    wt: 2:   3 Units and Lengths of Time
  326.    wt: 2:   2 Time and Date Matters in School
  327.    wt: 2:   1 Intro of Kids To Time Date Skills
  328.    wt: 2:   Example 1. Area Between x and x squared
  329.    wt: 2:   38 Formulas and derivatives for powers and roots
  330.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  331.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  332.    wt: 2:   9 Limits Continuity and Composition
  333.    wt: 2:   5 Jumps and absence of unlimited error control
  334.    wt: 2:   2 Algebraic codification
  335.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  336.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  337.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  338.    wt: 2:   Appendix E. How To Study Mathematics and Why
  339.    wt: 2:   Appendix D. What to do in School and Why
  340.    wt: 2:   Chapter 31 Direct and Indirect Reason
  341.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  342.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  343.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  344.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  345.    wt: 2:   Chapter 20. Degrees and Radians
  346.    wt: 2:   Chapter 19. Functions and Sets
  347.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  348.    wt: 2:   Chapter 12. Shorthand Usage Guide
  349.    wt: 2:   Chapter 11. Why Shorthand
  350.    wt: 2:   Chapter 10 Describing and Changing Calculations
  351.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  352.    wt: 2:   Chapter 8 Three Skills For Algebra
  353.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  354.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  355.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  356.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  357.    wt: 2:   R Why Learn Mathematics Skills
  358.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  359.    wt: 2:   O On Learning Mathematics and Science
  360.    wt: 2:   L Skills with take home value
  361.    wt: 2:   N Improving Marks on Tests and Finals
  362.    wt: 2:   J. More on written work and showing skill
  363.    wt: 2:   H Jigsaw puzzles and problem solving
  364.    wt: 2:   G. Written work formats for developing and showing skill
  365.    wt: 2:   E. When and how to correct errors
  366.    wt: 1:   Appendix 1 primary and preschool mathematic
  367.    wt: 1:   G LAMP Introduction Problem Solving Skills
  368.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  369.    wt: 1:   Skills Chapter 5 Calculus
  370.    wt: 1:   Skills Chapter 4 Logic
  371.    wt: 1:   Skills Chapter 3 Algebra
  372.    wt: 1:   Skills Chapter 2 Geometry
  373.    wt: 1:   Skills Chapter 1 Arithmetic
  374.    wt: 1:   Skills Chapter 0 Introduction
  375.    wt: 1:   7 logic review and decimals an odd combination
  376.    wt: 1:   5 logarithms and exponentials etc
  377.    wt: 1:   2 arithmetic with signed numbers
  378.    wt: 1:   1 arithmetic with unsigned numbers
  379.    wt: 1:   key notes and themes
  380.    wt: 1:   what should be learnt and When
  381.    wt: 1:   teaching tutoring algebraic reason
  382.    wt: 1:   standards for course material
  383.    wt: 1:   Theory of Knowledge
  384.    wt: 1:   Education in mathematics science and technology
  385.    wt: 1:   Motivation and Context Problem
  386.    wt: 1:   fairness and inductive principles for instruction
  387.    wt: 1:   Home Tutoring and Home Schooling
  388.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  389.    wt: 1:   24 Standards For Skill Develoment Take II
  390.    wt: 1:   24 Standards For Skill Develoment
  391.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  392.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  393.    wt: 1:   17 Math Booklets for children and young teenagers
  394.    wt: 1:   14 Multiplication and Times Tables
  395.    wt: 1:   13 Addition and Addition Tables
  396.    wt: 1:   12 Goals and Objectives For Mathematics
  397.    wt: 1:   11 Help and Defend Your Child or Teens Education
  398.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  399.    wt: 1:   5 Patience Please for Yourself and Your Charges
  400.    wt: 1:   4 Learning Takes Time and Effort
  401.    wt: 1:   1 Speaking Skills
  402.    wt: 1:   Ages 12 to 14 Geometry
  403.    wt: 1:   Ages 12 to 14 Arithmetic
  404.    wt: 1:   Ages 10 to 12 Geometry
  405.    wt: 1:   Ages 10 to 12 Arithmetic
  406.    wt: 1:   Ages 9 to 10
  407.    wt: 1:   Ages 8 to 9
  408.    wt: 1:   Ages 7 to 8
  409.    wt: 1:   Ages 6 to 7
  410.    wt: 1:   Ages 4 plus to 5 plus
  411.    wt: 1:   Ages 3 plus to 4 plus
  412.    wt: 1:   26 Function definitions done and coming
  413.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  414.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  415.    wt: 1:   19 Horizontal line rule and method
  416.    wt: 1:   18 Vertical Line Rule and Method
  417.    wt: 1:   17 Function maxima minima and their location
  418.    wt: 1:   11 Function Domain Range Source and Targets
  419.    wt: 1:   9 Set theory term relation possible origins
  420.    wt: 1:   8 Set view of relations and functions
  421.    wt: 1:   6 Set Existence Formation and Notation
  422.    wt: 1:   4 Function notation in and beyond mathematics
  423.    wt: 1:   2 Algebraic use of function notation
  424.    wt: 1:   9 quadratics physical and further context
  425.    wt: 1:   11 Growth and Decay in Biology
  426.    wt: 1:   10 Exponential Growth and Decay Models
  427.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  428.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  429.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  430.    wt: 1:   Rewriting algebraic substitution as function substitutions
  431.    wt: 1:   16 cotangent function Definition Graph and Inverse
  432.    wt: 1:   15 cosecant function Definition Graph and Inverse
  433.    wt: 1:   14 secant function Definition Graph and Inverse
  434.    wt: 1:   13 cosecant function Definition Graph and Inverse
  435.    wt: 1:   8 Radian Measures of Common Angles
  436.    wt: 1:   7 Radian Measures in special Triangles
  437.    wt: 1:   6 Radian Measure to Degrees
  438.    wt: 1:   5 Degrees to Radian Measure
  439.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  440.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  441.    wt: 1:   2 Radian Measure Numerical Value of one degree
  442.    wt: 1:   A Global Time and Navigation
  443.    wt: 1:   15 Dot and Cross Product
  444.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  445.    wt: 1:   4 graphing y=Asin(x c)
  446.    wt: 1:   3 graphing y=f(x c) plus K
  447.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  448.    wt: 1:   1 graphing y=f(x a)
  449.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  450.    wt: 1:   Triangle Angles Sum To 180 Degrees
  451.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  452.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  453.    wt: 1:   Straight Lines ASA Intersection Study More
  454.    wt: 1:   Straight Lines ASA Intersection Study
  455.    wt: 1:   Straight Lines Instersection Solving Equations
  456.    wt: 1:   Straight Lines Intersection of
  457.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  458.    wt: 1:   C Straight Lines Slope from Coordinates
  459.    wt: 1:   B Straight Line Slope Scaling Properties More
  460.    wt: 1:   A Straight Line Slope Scaling Properties
  461.    wt: 1:   14 Straight Lines Equations General Case
  462.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  463.    wt: 1:   12 Straight Lines Graphing mx plus b
  464.    wt: 1:   11 Straight Lines Graphing y=mx
  465.    wt: 1:   10 Straight Lines through Origin Equations More
  466.    wt: 1:   9 Straight Lines through Origin Equations
  467.    wt: 1:   8 Straight Lines Equation for vertical
  468.    wt: 1:   7 Tangent Function is odd on this domain
  469.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  470.    wt: 1:   5 Tangent Function Graph
  471.    wt: 1:   4 Tangent Function Properties
  472.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  473.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  474.    wt: 1:   1 Straight Lines Slope Concept
  475.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  476.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  477.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  478.    wt: 1:   29 secant cosecant and cotangent for acute angles
  479.    wt: 1:   27 Logarithmic use of products of sines and cosines
  480.    wt: 1:   26 Formulas for products of sines and cosines
  481.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  482.    wt: 1:   21 sine and cosine Half Angle Formulas
  483.    wt: 1:   20 sine and cosine Double Angle Formulas
  484.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  485.    wt: 1:   17E Trig Formulas for dot and cross Products
  486.    wt: 1:   17D cis formulas for sine cosines and tangent
  487.    wt: 1:   17C sine and cosine double triple angle formulas
  488.    wt: 1:   17A The complex number valued trig function cis
  489.    wt: 1:   10 Graphs of sines and cosines many periods
  490.    wt: 1:   9 Graphs of sine and cosine over one period
  491.    wt: 1:   7 period of sine and cosine
  492.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  493.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  494.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  495.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  496.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  497.    wt: 1:   19 N th Roots of Unity
  498.    wt: 1:   18 Sixth Roots of Unity
  499.    wt: 1:   17 Cube Roots of unity
  500.    wt: 1:   15 Pythagorean Theorem Converse
  501.    wt: 1:   14 Law of cosines
  502.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  503.    wt: 1:   8 Unit Circle Development of Trigonometry
  504.    wt: 1:   7 Second Way to Calculate Products
  505.    wt: 1:   5 An Easy Proof of the Distributive Law
  506.    wt: 1:   4 Multiplication Properties
  507.    wt: 1:   3 Addition Properties
  508.    wt: 1:   1 Rectangular Polar Coordinates Review
  509.    wt: 1:   8 Triangles Cascade Problem Solving
  510.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  511.    wt: 1:   1 Angle Measurement with Degrees
  512.    wt: 1:   Why Trigonometry the whyslopes view
  513.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  514.    wt: 1:   8 Similarity of Triangles and Polygons
  515.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  516.    wt: 1:   Four Simple Exercises
  517.    wt: 1:   12 Links Lessons elsewhere
  518.    wt: 1:   11 A Partial Summary
  519.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  520.    wt: 1:   8 Mid Point Formula
  521.    wt: 1:   4 Equations for lines three forms
  522.    wt: 1:   3 Slope product for perpendicular lines
  523.    wt: 1:   2 point slope equation for a line
  524.    wt: 1:   13 Pythagorean spatial distance formulas
  525.    wt: 1:   12 Spatial Coordinates
  526.    wt: 1:   11 Triangle Inequality
  527.    wt: 1:   10 Pythagorean plane distance formula
  528.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  529.    wt: 1:   8 Distance Between Points on a Line
  530.    wt: 1:   3 Rectangular Coordinates Review
  531.    wt: 1:   2 Cartesian Coordinates with signs
  532.    wt: 1:   1 Cartesian Coordinates sans signs
  533.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  534.    wt: 1:   PS G Rotation Distributes over Addition
  535.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  536.    wt: 1:   PS E Multiplication with Polar Coordinates
  537.    wt: 1:   PS D Addition with Cartesian Coordinates
  538.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  539.    wt: 1:   PS B Parallelogram Construction Methods
  540.    wt: 1:   PS A Kite Construction Methods
  541.    wt: 1:   21 Parallelograms
  542.    wt: 1:   19 Right Triangle Similarity
  543.    wt: 1:   18 Triangle Similarity Take 1
  544.    wt: 1:   17 Right Bisectors of Triangle Sides
  545.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  546.    wt: 1:   14 Parallel Lines Postulate
  547.    wt: 1:   13 Angle Side Angle Failure
  548.    wt: 1:   12 Side Angle Side Failure
  549.    wt: 1:   11 Triangle Construction Fails
  550.    wt: 1:   10 Dropping a perpendicular to line
  551.    wt: 1:   9 Construction of a right bisector
  552.    wt: 1:   8 Isoceles Triangles
  553.    wt: 1:   7 Angle Side Angle
  554.    wt: 1:   5 Side Angle Side
  555.    wt: 1:   4 Side Side Side
  556.    wt: 1:   3 Isometry of Triangles Congruence
  557.    wt: 1:   2 Correspondence between Triangles
  558.    wt: 1:   Short Course on Euclidean Geometry
  559.    wt: 1:   26 More Less Greater Than Comparison
  560.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  561.    wt: 1:   23 Distributive Law Two Derivations
  562.    wt: 1:   21 Addition of Multiples of a Single Vector
  563.    wt: 1:   19 Signed Multiples of Vectors
  564.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  565.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  566.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  567.    wt: 1:   15 Head to Tails in place Addition Associative
  568.    wt: 1:   9 Division with Digits after Decimal Point
  569.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  570.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  571.    wt: 1:   4 Location of Point in Decimal Addition
  572.    wt: 1:   3 Location of Point in Decimal Multiplication
  573.    wt: 1:   2 Counting Digits in Decimal Multiplication
  574.    wt: 1:   E Long Division Methods more
  575.    wt: 1:   D Long Division Methods
  576.    wt: 1:   C Three Decimal Subtraction Methods
  577.    wt: 1:   A Decimal Addition Columm Methods
  578.    wt: 1:   8 Column Multiplication Methods in General
  579.    wt: 1:   7 Decimals Multiplication Methods Examples
  580.    wt: 1:   4 Commutative Law Groups Counting Form
  581.    wt: 1:   5 Areas of Rectangles Revisited
  582.    wt: 1:   4 Fraction Operations Axiomatic Development
  583.    wt: 1:   2 Fraction Operations Physical Development
  584.    wt: 1:   3 Proportionality Examples
  585.    wt: 1:   1 What is Proportionality
  586.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  587.    wt: 1:   6 Compound Interest Forward and Backwards
  588.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  589.    wt: 1:   5 Equality in Algebra
  590.    wt: 1:   3 Product Axioms Two Forms
  591.    wt: 1:   1 Equivalent Computation Rules
  592.    wt: 1:   5 Greater More Less Than Signs in General
  593.    wt: 1:   9 Coordinates for Regions in Space
  594.    wt: 1:   2 Integers
  595.    wt: 1:   5 Independent versus Dependent Variables
  596.    wt: 1:   4 Changing Letters
  597.    wt: 1:   2 Computation Rules Evaluation
  598.    wt: 1:   3 GE III Equation Addition and Multiplication
  599.    wt: 1:   4 Four Examples Fractional Coefficients
  600.    wt: 1:   3 Four Examples
  601.    wt: 1:   2 Three Examples
  602.    wt: 1:   1 Proper Equal Sign Usage
  603.    wt: 1:   1 Written work formats for developing and showing skill
  604.    wt: 1:   9 Sets in Probability and Statistics
  605.    wt: 1:   8 Sets of Numbers
  606.    wt: 1:   1 Three Skills For Algebra
  607.    wt: 1:   014 Counting Days with Calendars
  608.    wt: 1:   013 Travel Time Tables
  609.    wt: 1:   012 Division of Time Intervals by Time Intervals
  610.    wt: 1:   010 Repeated Addition of Time Intervals
  611.    wt: 1:   8 Addition of Time Intervals via subtotaling
  612.    wt: 1:   7 Addition of Time Intervals
  613.    wt: 1:   6 How long is a million seconds
  614.    wt: 1:   5 Conversion Arithmetic
  615.    wt: 1:   Example 2 volume of a cone
  616.    wt: 1:   Example 1 volume of a pyramid
  617.    wt: 1:   Volume of Solid by Cross Sections Lesson
  618.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  619.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  620.    wt: 1:   Example 4 with x function of y
  621.    wt: 1:   Example 3
  622.    wt: 1:   Example 2
  623.    wt: 1:   Example 1
  624.    wt: 1:   Area Between Curves Lesson Take 2
  625.    wt: 1:   Area Between Curves Lesson Take 1
  626.    wt: 1:   Summary
  627.    wt: 1:   17 Derivatives of quotients of sine and cosine
  628.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  629.    wt: 1:   15 sine and cosine derivatives 3rd step
  630.    wt: 1:   14 sine and cosine derivatives 2nd step
  631.    wt: 1:   13 sine and cosine derivatives 1st step
  632.    wt: 1:   11 Limits at infinity Three Examples
  633.    wt: 1:   10 Three one sided limits with infinite values
  634.    wt: 1:   8 Four Animated Examples
  635.    wt: 1:   7 Evaluation by immediate or delayed substitution
  636.    wt: 1:   6 Continuity at a point
  637.    wt: 1:   4 Numerical properties
  638.    wt: 1:   3 Decimal insights for limits continuity convergence
  639.    wt: 1:   1 Numerical introduction
  640.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  641.    wt: 1:   E2 Algebraic Properties of Limits
  642.    wt: 1:   PostScript For and Against Decimal Perspectives
  643.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  644.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  645.    wt: 1:   Chapter 22 Complex Numbers
  646.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  647.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  648.    wt: 1:   Chapter 12. Units and Slopes
  649.    wt: 1:   Chapter 10 Slopes and Units
  650.    wt: 1:   Chapter 7 Slopes and Velocity
  651.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  652.    wt: 1:   Chapter 2. Slopes and Ski Trails
  653.    wt: 1:   Postscript More on Better Performance
  654.    wt: 1:   Postscript For Better Performance
  655.    wt: 1:   Appendix C. How to Read
  656.    wt: 1:   Appendix B. How To Learn
  657.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  658.    wt: 1:   Chapter 30 Truth Tables
  659.    wt: 1:   Chapter 28 Occurrence Tables
  660.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  661.    wt: 1:   Chapter 25. Mathematical Induction Examples
  662.    wt: 1:   Chapter 23. Notation For Sums
  663.    wt: 1:   Chapter 21. Third Reading Guide
  664.    wt: 1:   Chapter 18. Rules for Algebra
  665.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  666.    wt: 1:   Chapter 16. Painless Theorem Proving
  667.    wt: 1:   Chapter 15. Solving Linear Equations
  668.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  669.    wt: 1:   Chapter 13. Second Reading Guide
  670.    wt: 1:   Postscript What is a Variable
  671.    wt: 1:   Solutions For Arithmetic Exercises
  672.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  673.    wt: 1:   Chapter 6 Change of Language
  674.    wt: 1:   Chapter 4 Longer Chains of Reason
  675.    wt: 1:   Chapter 3 Chains of Reason
  676.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  677.    wt: 1:   Foreword
  678.    wt: 1:   Chapter 2 For and Against Mathematics
  679.    wt: 1:   Postscript B More on Story Telling and Reason
  680.    wt: 1:   Chapter 24 Direct and Indirect Reason
  681.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  682.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  683.    wt: 1:   Chapter 18 Sense and Knowledge
  684.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  685.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  686.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  687.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  688.    wt: 1:   S Adding words to algebra
  689.    wt: 1:   N Mathematics Prepare for College Studies
  690.    wt: 1:   M Words to extend arithmetic
  691.    wt: 1:   H more Routine to non routine problem solving
  692.    wt: 1:   F. The student teacher tutor feedback loop
  693.    wt: 1:   D. Check work a must with a caution
  694.    wt: 1:   C. Domino effect of being careful
  695.    wt: 1:   B. Domino effect of errors
  696.    wt: 1:   A. Skill has to be seen to believed
  697.    wt: 1:   Chapter 8 Skipped Topics and Why
  698.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  699.    wt: 1:   Chapter 6 More Algebra and Geometry
  700.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  701.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  702.    wt: 1:   Helping the Blind in Logic and Mathematics
  703.    wt: 1:   More Algebra and Slope based Calculus Preview
  704.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  705.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  706.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  707.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  708.    wt: 1:   The Math Forum and Site Content
  709.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  710.    wt: 12:   B Fractions and Two Term Ratios
  711.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  712.    wt: 12:   9 Improper Fractions and Mixed Numbers
  713.    wt: 11:   21 Reciprocals for Fractions and Wholes
  714.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  715.    wt: 10:   D Three Term Ratios
  716.    wt: 10:   22 Complex Compound Fractions
  717.    wt: 10:   20 Dividing Fractions the Why
  718.    wt: 10:   19 Dividing Fractions How TO
  719.    wt: 10:   17 Efficient Ways to Add and Subtract
  720.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  721.    wt: 10:   14 Adding and Subtracting with Like Denominators
  722.    wt: 10:   13 Fraction Comparison Algebraic View
  723.    wt: 10:   11 Simplification an Algebraic View
  724.    wt: 10:   6 Multiplication of Mixed Numbers
  725.    wt: 10:   6 Multiplication Algebraically Take II
  726.    wt: 10:   5 Equivalent Fractions

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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