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

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

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

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

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

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

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

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43 matches:

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

Web Page Search

386 matches:

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

Extended Search

710 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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