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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45 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:   1 Five Polynomial Operations/
  22.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  23.    wt: 1:   12 Function Translating and Rescaling/
  24.    wt: 1:   11 Parallel Straight Lines and Transversals/
  25.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 1:   7 Complex Numbers/
  28.    wt: 1:   6 Trigonometry first steps/
  29.    wt: 1:   4 Lines and Slopes Take 1/
  30.    wt: 1:   3 Cartesian and Polar Coordinates/
  31.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  32.    wt: 1:   B Real Numbers Extrinsic Development/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   9 Proportionality Backwards and Forwards/
  35.    wt: 1:   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:   Time Date Matters/
  40.    wt: 1:   Skills with take home value/
  41.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  42.    wt: 1:   13 Lessons on Limits and Continuity/
  43.    wt: 1:   Volume 2 Three Skills For Algebra/
  44.    wt: 1:   Work and Study Tips/
  45.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

366 matches:

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

Extended Search

722 matches:

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

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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