Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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. Reform: look before you leap - plan all in detail first.

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:   3 Prime Factorization Skills/
  4.    wt: 8:   D Decimal Long Division Methods/
  5.    wt: 8:   C Decimal Multiplication Methods/
  6.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  7.    wt: 6:   11 Squares and Square Roots/
  8.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  9.    wt: 6:   9 Combinatorics Trees Tables and Products/
  10.    wt: 6:   8 Arithmetic with Signed Numbers/
  11.    wt: 6:   7 Arithmetic and Fractions with Units/
  12.    wt: 6:   6 Fractions and Ratios/
  13.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  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

394 matches:

  1.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  2.    wt: 3:   7 GCD and LCM from prime factorization
  3.    wt: 3:   5 Prime Factorization and a Square Rule
  4.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  5.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  6.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  7.    wt: 2:   Ramblings Extrinsic numbers theory
  8.    wt: 2:   7 logic review and decimals an odd combination
  9.    wt: 2:   2 Reading and Writing Skills
  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:   17 GCD LCM of 85 and 60 via Prime
  29.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  30.    wt: 2:   13 GCD from given Prime Factorization
  31.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  32.    wt: 2:   4 LCM of 8 and 10 via Prime
  33.    wt: 2:   1 Counting and Counting Methods I
  34.    wt: 2:   11 What are real lengths and numbers
  35.    wt: 2:   5 lengths and signs of numbers
  36.    wt: 2:   2 signed and unsigned numbers as coordinates
  37.    wt: 2:   3 Multiplying Units and Numbers
  38.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  39.    wt: 2:   9 Improper Fractions and Mixed Numbers
  40.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  41.    wt: 2:   20 Uniqueness of Prime Factorization
  42.    wt: 2:   19 video Prime Factorization Unique
  43.    wt: 2:   18 video Count Factors given Prime Factorization
  44.    wt: 2:   17 Identify and Count Factors using Primes
  45.    wt: 2:   15 video Factors of 20 using Prime Factorization
  46.    wt: 2:   12 LCD GCD and LCM using Primes
  47.    wt: 2:   10 video Prime Factorization upto 23 squared
  48.    wt: 2:   9 video Prime Factorization upto 19 squared
  49.    wt: 2:   8 video Prime Factorization upto 19
  50.    wt: 2:   4 video Prime Factorization Introduction
  51.    wt: 2:   3 video Primes and Composites from 9 times table
  52.    wt: 2:   2 Prime and Composites less than 16
  53.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  54.    wt: 2:   D Decimal Multiplication Methods Derived
  55.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  56.    wt: 2:   8 What skills and work habits to require
  57.    wt: 2:   7 Adding decimal fractions using decimal point
  58.    wt: 2:   6. Counting and adding units and mixed units
  59.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  60.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  61.    wt: 2:   Quick history of numbers and algebra
  62.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  63.    wt: 2:   38 Formulas and derivatives for powers and roots
  64.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  65.    wt: 2:   PostScript For and Against Decimal Perspectives
  66.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  67.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  68.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  69.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  70.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  71.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  72.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  73.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  74.    wt: 2:   I. Logic and language skills
  75.    wt: 2:   How to Build Skills and Confidence
  76.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  77.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  78.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  79.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  80.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  81.    wt: 1:   Appendix 1 primary and preschool mathematic
  82.    wt: 1:   G LAMP Introduction Problem Solving Skills
  83.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  84.    wt: 1:   Skills Chapter 5 Calculus
  85.    wt: 1:   Skills Chapter 4 Logic
  86.    wt: 1:   Skills Chapter 3 Algebra
  87.    wt: 1:   Skills Chapter 2 Geometry
  88.    wt: 1:   Skills Chapter 1 Arithmetic
  89.    wt: 1:   Skills Chapter 0 Introduction
  90.    wt: 1:   5 logarithms and exponentials etc
  91.    wt: 1:   2 arithmetic with signed numbers
  92.    wt: 1:   1 arithmetic with unsigned numbers
  93.    wt: 1:   key notes and themes
  94.    wt: 1:   what should be learnt and When
  95.    wt: 1:   standards for course material
  96.    wt: 1:   Theory of Knowledge
  97.    wt: 1:   Education in mathematics science and technology
  98.    wt: 1:   Motivation and Context Problem
  99.    wt: 1:   fairness and inductive principles for instruction
  100.    wt: 1:   Home Tutoring and Home Schooling
  101.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  102.    wt: 1:   24 Standards For Skill Develoment Take II
  103.    wt: 1:   24 Standards For Skill Develoment
  104.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  105.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  106.    wt: 1:   17 Math Booklets for children and young teenagers
  107.    wt: 1:   14 Multiplication and Times Tables
  108.    wt: 1:   13 Addition and Addition Tables
  109.    wt: 1:   12 Goals and Objectives For Mathematics
  110.    wt: 1:   11 Help and Defend Your Child or Teens Education
  111.    wt: 1:   5 Patience Please for Yourself and Your Charges
  112.    wt: 1:   4 Learning Takes Time and Effort
  113.    wt: 1:   1 Speaking Skills
  114.    wt: 1:   Ages 12 to 14 Skills with take home value
  115.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  116.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  117.    wt: 1:   26 Function definitions done and coming
  118.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  119.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  120.    wt: 1:   19 Horizontal line rule and method
  121.    wt: 1:   18 Vertical Line Rule and Method
  122.    wt: 1:   17 Function maxima minima and their location
  123.    wt: 1:   11 Function Domain Range Source and Targets
  124.    wt: 1:   9 Set theory term relation possible origins
  125.    wt: 1:   8 Set view of relations and functions
  126.    wt: 1:   6 Set Existence Formation and Notation
  127.    wt: 1:   4 Function notation in and beyond mathematics
  128.    wt: 1:   9 quadratics physical and further context
  129.    wt: 1:   11 Growth and Decay in Biology
  130.    wt: 1:   10 Exponential Growth and Decay Models
  131.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  132.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  133.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  134.    wt: 1:   16 cotangent function Definition Graph and Inverse
  135.    wt: 1:   15 cosecant function Definition Graph and Inverse
  136.    wt: 1:   14 secant function Definition Graph and Inverse
  137.    wt: 1:   13 cosecant function Definition Graph and Inverse
  138.    wt: 1:   9 Summary Degrees to Radians and back
  139.    wt: 1:   1 Degrees and Radians Introduction
  140.    wt: 1:   A Global Time and Navigation
  141.    wt: 1:   15 Dot and Cross Product
  142.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  143.    wt: 1:   Parallel Lines and Parallel Transversals
  144.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  145.    wt: 1:   Parallel Lines and Interior Angles
  146.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  147.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  148.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  149.    wt: 1:   29 secant cosecant and cotangent for acute angles
  150.    wt: 1:   27 Logarithmic use of products of sines and cosines
  151.    wt: 1:   26 Formulas for products of sines and cosines
  152.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  153.    wt: 1:   21 sine and cosine Half Angle Formulas
  154.    wt: 1:   20 sine and cosine Double Angle Formulas
  155.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  156.    wt: 1:   17E Trig Formulas for dot and cross Products
  157.    wt: 1:   17D cis formulas for sine cosines and tangent
  158.    wt: 1:   17C sine and cosine double triple angle formulas
  159.    wt: 1:   17A The complex number valued trig function cis
  160.    wt: 1:   10 Graphs of sines and cosines many periods
  161.    wt: 1:   9 Graphs of sine and cosine over one period
  162.    wt: 1:   7 period of sine and cosine
  163.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  164.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  165.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  166.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  167.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  168.    wt: 1:   21 Logarithms Powers and Exponentials
  169.    wt: 1:   20 N th Roots of Complex Numbers
  170.    wt: 1:   16 References and Originality Question
  171.    wt: 1:   13 Trig Formulas for dot and cross Products
  172.    wt: 1:   12 cis formulas for sine cosines and tangent
  173.    wt: 1:   11 sine and cosine double triple angle formulas
  174.    wt: 1:   9 The complex number valued trig function cis
  175.    wt: 1:   6 Field Properties of Complex Number
  176.    wt: 1:   2 Complex Numbers made easier we hope
  177.    wt: 1:   Appetizer A Complex Number Applet
  178.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  179.    wt: 1:   3 Trigonometric Ratios sine and cosine
  180.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  181.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  182.    wt: 1:   8 Similarity of Triangles and Polygons
  183.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  184.    wt: 1:   10 Midpoint of [a b] and [b a]
  185.    wt: 1:   7 Exercises to test skill and concept mastery
  186.    wt: 1:   1 Numerical view of lines and their equations
  187.    wt: 1:   What is and is not here
  188.    wt: 1:   7 Complex Numbers Appetizer
  189.    wt: 1:   6 Polar Multiplication and Rotation
  190.    wt: 1:   5 Cartesian Addition and Translation
  191.    wt: 1:   4 Polar Coordinates to and from
  192.    wt: 1:   PS H Distributive Law For Complex Numbers
  193.    wt: 1:   PS B Parallelogram Construction Methods
  194.    wt: 1:   PS A Kite Construction Methods
  195.    wt: 1:   16 Angles Subtended By Chords and Diameters
  196.    wt: 1:   6 Ruler and compass Angle Bisection
  197.    wt: 1:   1 Initial Concepts and Terms
  198.    wt: 1:   musings do not puiblish real numbers
  199.    wt: 1:   A Modular and Remainder Arithmetic
  200.    wt: 1:   A Signed Number Arithmetic Review
  201.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  202.    wt: 1:   22 Multiplication of Signed Numbers
  203.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  204.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  205.    wt: 1:   13 Arrows and Vectors in a Plane
  206.    wt: 1:   12 Real Numbers Line Signed Coordinates
  207.    wt: 1:   9 Division with Digits after Decimal Point
  208.    wt: 1:   8 Division and Mulplication of Compound Fractions
  209.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  210.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  211.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  212.    wt: 1:   4 Location of Point in Decimal Addition
  213.    wt: 1:   3 Location of Point in Decimal Multiplication
  214.    wt: 1:   2 Counting Digits in Decimal Multiplication
  215.    wt: 1:   1 Fractions with Finite Decimal Expansions
  216.    wt: 1:   E Long Division Methods more
  217.    wt: 1:   D Long Division Methods
  218.    wt: 1:   8 Column Multiplication Methods in General
  219.    wt: 1:   5 Distributive Law for Whole Numbers
  220.    wt: 1:   3 Multiplicative Counting Skills Principles
  221.    wt: 1:   1 The Counting Origins of Numbers
  222.    wt: 1:   4 Rates Ratios and Proporitionality
  223.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  224.    wt: 1:   6 Compound Interest Forward and Backwards
  225.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  226.    wt: 1:   6 Equations and Systems Equivalent or Implied
  227.    wt: 1:   4 Subtraction and Division Axioms
  228.    wt: 1:   2 Addition and Multiplication Axioms
  229.    wt: 1:   4 Comparison of Negative Numbers
  230.    wt: 1:   3 More and Less Than with Unlike Signs
  231.    wt: 1:   1 Real Numbers Comparison
  232.    wt: 1:   16 Real Numbers Comparison
  233.    wt: 1:   15 Real Number Division
  234.    wt: 1:   14 Real Number Multiplication
  235.    wt: 1:   13 Real Number Subtraction
  236.    wt: 1:   12 Real Number Additive Inverses or Negatives
  237.    wt: 1:   11 Real Number Addition
  238.    wt: 1:   8 Coordinates for Maps and Planes
  239.    wt: 1:   7 Real Numbers as Line Cordinates
  240.    wt: 1:   6 Unsigned Real Numbers
  241.    wt: 1:   5 Rational Numbers More
  242.    wt: 1:   4 Rational Numbers
  243.    wt: 1:   3 Geometric Formulas and Function Notation
  244.    wt: 1:   1 Formulas Dependence and Function Notation
  245.    wt: 1:   3 GE III Equation Addition and Multiplication
  246.    wt: 1:   1 Written work formats for developing and showing skill
  247.    wt: 1:   9 Sets in Probability and Statistics
  248.    wt: 1:   8 Sets of Numbers
  249.    wt: 1:   1 Three Skills For Algebra
  250.    wt: 1:   3 Comparison of Negative Numbers
  251.    wt: 1:   2 More and Less Than with Unlike Signs
  252.    wt: 1:   5 Square Roots with primes more still
  253.    wt: 1:   4 Square Roots with primes more
  254.    wt: 1:   2 Square Roots with Prime
  255.    wt: 1:   1 Squares and Square Roots Introduction
  256.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  257.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  258.    wt: 1:   6 GCD from Prime
  259.    wt: 1:   5 Common Divisors 60 45 via Prime
  260.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  261.    wt: 1:   12 GCD 2700 288 via Prime
  262.    wt: 1:   3 Counting with Tables and Trees II
  263.    wt: 1:   2 Counting with Tables and Trees I
  264.    wt: 1:   10 dividing signed numbers
  265.    wt: 1:   9 subtracting signed numbers
  266.    wt: 1:   8 multiplying signed numbers
  267.    wt: 1:   7 negative and additive inverse
  268.    wt: 1:   6 adding signed numbers
  269.    wt: 1:   3 signed coordinates for maps and planes
  270.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  271.    wt: 1:   2 Equality and Units
  272.    wt: 1:   1 Addition and Subtraction with Units
  273.    wt: 1:   B Fractions and Two Term Ratios
  274.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  275.    wt: 1:   21 Reciprocals for Fractions and Wholes
  276.    wt: 1:   17 Efficient Ways to Add and Subtract
  277.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  278.    wt: 1:   14 Adding and Subtracting with Like Denominators
  279.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  280.    wt: 1:   6 Multiplication of Mixed Numbers
  281.    wt: 1:   11 Adding Integers Formulas and Examples
  282.    wt: 1:   8 Multiplication by Signed Numbers Integers
  283.    wt: 1:   6 Multiplication by Natural Numbers
  284.    wt: 1:   5 Zero Movement and Additive Inverses
  285.    wt: 1:   16 video Factors of 980 using prime
  286.    wt: 1:   13 video Factors of 24 using prime
  287.    wt: 1:   7 Calculator Usage Notes and Cautions
  288.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  289.    wt: 1:   Division with Counts and Length
  290.    wt: 1:   Long Division forwards and backwards Example 3
  291.    wt: 1:   Long Division forwards and backwards Example 2
  292.    wt: 1:   Long Division forwards and backwards Example 1
  293.    wt: 1:   10 Division by Five Long and Short Ways
  294.    wt: 1:   A Elementary Basis for Multiplication Methods
  295.    wt: 1:   5 Decimal Fraction Multiplication
  296.    wt: 1:   4 Two and Three Digit Multipliers
  297.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  298.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  299.    wt: 1:   Video Power Notation in Decimal Expansion
  300.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  301.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  302.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  303.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  304.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  305.    wt: 1:   5. How to add decimals C. Examples
  306.    wt: 1:   4. How to add with decimals B with conversions
  307.    wt: 1:   3. How to add with decimals A sans conversions
  308.    wt: 1:   2 Decimal Counting Practices
  309.    wt: 1:   11 Place Value SI Standard International way
  310.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  311.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  312.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  313.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  314.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  315.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  316.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  317.    wt: 1:   Exact Arithmetic Wholes and Fractions
  318.    wt: 1:   016 Numbering Occidental Calendar Days
  319.    wt: 1:   015 School and work day counting tables
  320.    wt: 1:   011 Division of Time Intervals By Numbers
  321.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  322.    wt: 1:   4 Mixing and Changing Units of Time
  323.    wt: 1:   3 Units and Lengths of Time
  324.    wt: 1:   2 Time and Date Matters in School
  325.    wt: 1:   1 Intro of Kids To Time Date Skills
  326.    wt: 1:   Example 1. Area Between x and x squared
  327.    wt: 1:   17 Derivatives of quotients of sine and cosine
  328.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  329.    wt: 1:   15 sine and cosine derivatives 3rd step
  330.    wt: 1:   14 sine and cosine derivatives 2nd step
  331.    wt: 1:   13 sine and cosine derivatives 1st step
  332.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  333.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  334.    wt: 1:   9 Limits Continuity and Composition
  335.    wt: 1:   5 Jumps and absence of unlimited error control
  336.    wt: 1:   3 Decimal insights for limits continuity convergence
  337.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  338.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  339.    wt: 1:   Chapter 22 Complex Numbers
  340.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  341.    wt: 1:   Chapter 12. Units and Slopes
  342.    wt: 1:   Chapter 10 Slopes and Units
  343.    wt: 1:   Chapter 7 Slopes and Velocity
  344.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  345.    wt: 1:   Chapter 2. Slopes and Ski Trails
  346.    wt: 1:   Appendix E. How To Study Mathematics and Why
  347.    wt: 1:   Appendix D. What to do in School and Why
  348.    wt: 1:   Chapter 31 Direct and Indirect Reason
  349.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  350.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  351.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  352.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  353.    wt: 1:   Chapter 20. Degrees and Radians
  354.    wt: 1:   Chapter 19. Functions and Sets
  355.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  356.    wt: 1:   Chapter 12. Shorthand Usage Guide
  357.    wt: 1:   Chapter 11. Why Shorthand
  358.    wt: 1:   Chapter 10 Describing and Changing Calculations
  359.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  360.    wt: 1:   Chapter 8 Three Skills For Algebra
  361.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  362.    wt: 1:   Chapter 2 For and Against Mathematics
  363.    wt: 1:   Postscript B More on Story Telling and Reason
  364.    wt: 1:   Chapter 24 Direct and Indirect Reason
  365.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  366.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  367.    wt: 1:   Chapter 18 Sense and Knowledge
  368.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  369.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  370.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  371.    wt: 1:   R Why Learn Mathematics Skills
  372.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  373.    wt: 1:   O On Learning Mathematics and Science
  374.    wt: 1:   L Skills with take home value
  375.    wt: 1:   N Improving Marks on Tests and Finals
  376.    wt: 1:   J. More on written work and showing skill
  377.    wt: 1:   H Jigsaw puzzles and problem solving
  378.    wt: 1:   G. Written work formats for developing and showing skill
  379.    wt: 1:   E. When and how to correct errors
  380.    wt: 1:   Chapter 8 Skipped Topics and Why
  381.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  382.    wt: 1:   Chapter 6 More Algebra and Geometry
  383.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  384.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  385.    wt: 1:   7 Games and Activities for Instruction
  386.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  387.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  388.    wt: 1:   Helping the Blind in Logic and Mathematics
  389.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  390.    wt: 1:   More Algebra and Slope based Calculus Preview
  391.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  392.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  393.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  394.    wt: 1:   The Math Forum and Site Content

Extended Search

704 matches:

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

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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
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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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