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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44 matches:

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

Web Page Search

377 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   11 Signed Number Addition and Addition Properties
  3.    wt: 3:   13 Addition and Addition Tables
  4.    wt: 3:   2 Combing Counts Addition Skills and Principles
  5.    wt: 3:   B Fractions and Two Term Ratios
  6.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  7.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  8.    wt: 3:   9 Improper Fractions and Mixed Numbers
  9.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  10.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  11.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  12.    wt: 2:   Ramblings Extrinsic numbers theory
  13.    wt: 2:   2 Reading and Writing Skills
  14.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  15.    wt: 2:   Vector and Complex Number Applet
  16.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  17.    wt: 2:   14 cosine even and sine and tangent are odd
  18.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  19.    wt: 2:   3 Trigonometric Ratios sine and cosine
  20.    wt: 2:   5 Cartesian Addition and Translation
  21.    wt: 2:   3 Lengths and Areas on Maps and Plans
  22.    wt: 2:   8 Division and Mulplication of Compound Fractions
  23.    wt: 2:   4 Rates Ratios and Proporitionality
  24.    wt: 2:   2 Addition and Multiplication Axioms
  25.    wt: 2:   3 More and Less Than with Unlike Signs
  26.    wt: 2:   2 More and Less Than for Counts and Measures
  27.    wt: 2:   11 Real Number Addition
  28.    wt: 2:   10 Real Number Lengths and Signs
  29.    wt: 2:   1 Whole and Natural Numbers
  30.    wt: 2:   3 GE III Equation Addition and Multiplication
  31.    wt: 2:   5 Talking about Numbers and Quantities
  32.    wt: 2:   4 A Brief Story of numbers and algebra
  33.    wt: 2:   2 More and Less Than with Unlike Signs
  34.    wt: 2:   1 More and Less Than for Counts and Measures
  35.    wt: 2:   11 What are real lengths and numbers
  36.    wt: 2:   5 lengths and signs of numbers
  37.    wt: 2:   2 signed and unsigned numbers as coordinates
  38.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  39.    wt: 2:   3 Multiplying Units and Numbers
  40.    wt: 2:   1 Addition and Subtraction with Units
  41.    wt: 2:   21 Reciprocals for Fractions and Wholes
  42.    wt: 2:   14 Adding and Subtracting with Like Denominators
  43.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  44.    wt: 2:   8 What skills and work habits to require
  45.    wt: 2:   6. Counting and adding units and mixed units
  46.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  47.    wt: 2:   Quick history of numbers and algebra
  48.    wt: 2:   Exact Arithmetic Wholes and Fractions
  49.    wt: 2:   38 Formulas and derivatives for powers and roots
  50.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  51.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  52.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  53.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  54.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  55.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  56.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  57.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  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: 1:   Appendix 1 primary and preschool mathematic
  65.    wt: 1:   G LAMP Introduction Problem Solving Skills
  66.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  67.    wt: 1:   Skills Chapter 5 Calculus
  68.    wt: 1:   Skills Chapter 4 Logic
  69.    wt: 1:   Skills Chapter 3 Algebra
  70.    wt: 1:   Skills Chapter 2 Geometry
  71.    wt: 1:   Skills Chapter 1 Arithmetic
  72.    wt: 1:   Skills Chapter 0 Introduction
  73.    wt: 1:   7 logic review and decimals an odd combination
  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:   2 Unlike resistors in parallel01
  85.    wt: 1:   F Unlike Resistors in Series
  86.    wt: 1:   Home Tutoring and Home Schooling
  87.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  88.    wt: 1:   24 Standards For Skill Develoment Take II
  89.    wt: 1:   24 Standards For Skill Develoment
  90.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  91.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  92.    wt: 1:   17 Math Booklets for children and young teenagers
  93.    wt: 1:   14 Multiplication and Times Tables
  94.    wt: 1:   12 Goals and Objectives For Mathematics
  95.    wt: 1:   11 Help and Defend Your Child or Teens Education
  96.    wt: 1:   5 Patience Please for Yourself and Your Charges
  97.    wt: 1:   4 Learning Takes Time and Effort
  98.    wt: 1:   1 Speaking Skills
  99.    wt: 1:   Ages 12 to 14 Skills with take home value
  100.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  101.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  102.    wt: 1:   26 Function definitions done and coming
  103.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  104.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  105.    wt: 1:   19 Horizontal line rule and method
  106.    wt: 1:   18 Vertical Line Rule and Method
  107.    wt: 1:   17 Function maxima minima and their location
  108.    wt: 1:   11 Function Domain Range Source and Targets
  109.    wt: 1:   9 Set theory term relation possible origins
  110.    wt: 1:   8 Set view of relations and functions
  111.    wt: 1:   6 Set Existence Formation and Notation
  112.    wt: 1:   4 Function notation in and beyond mathematics
  113.    wt: 1:   9 quadratics physical and further context
  114.    wt: 1:   11 Growth and Decay in Biology
  115.    wt: 1:   10 Exponential Growth and Decay Models
  116.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  117.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  118.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  119.    wt: 1:   3 Polynomials Multiplication Addition
  120.    wt: 1:   16 cotangent function Definition Graph and Inverse
  121.    wt: 1:   15 cosecant function Definition Graph and Inverse
  122.    wt: 1:   14 secant function Definition Graph and Inverse
  123.    wt: 1:   13 cosecant function Definition Graph and Inverse
  124.    wt: 1:   9 Summary Degrees to Radians and back
  125.    wt: 1:   1 Degrees and Radians Introduction
  126.    wt: 1:   A Global Time and Navigation
  127.    wt: 1:   15 Dot and Cross Product
  128.    wt: 1:   10 Parallelogram Addition Method
  129.    wt: 1:   5 Head To Tail Arrow Addition
  130.    wt: 1:   Parallel Lines and Parallel Transversals
  131.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  132.    wt: 1:   Parallel Lines and Interior Angles
  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:   3 Addition Properties
  164.    wt: 1:   2 Complex Numbers made easier we hope
  165.    wt: 1:   Appetizer A Complex Number Applet
  166.    wt: 1:   7 Trignometric Ratios Unit Circle
  167.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  168.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  169.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  170.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  171.    wt: 1:   8 Similarity of Triangles and Polygons
  172.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  173.    wt: 1:   10 Midpoint of [a b] and [b a]
  174.    wt: 1:   7 Exercises to test skill and concept mastery
  175.    wt: 1:   1 Numerical view of lines and their equations
  176.    wt: 1:   What is and is not here
  177.    wt: 1:   7 Complex Numbers Appetizer
  178.    wt: 1:   6 Polar Multiplication and Rotation
  179.    wt: 1:   4 Polar Coordinates to and from
  180.    wt: 1:   PS H Distributive Law For Complex Numbers
  181.    wt: 1:   PS G Rotation Distributes over Addition
  182.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  183.    wt: 1:   PS D Addition with Cartesian Coordinates
  184.    wt: 1:   16 Angles Subtended By Chords and Diameters
  185.    wt: 1:   6 Ruler and compass Angle Bisection
  186.    wt: 1:   1 Initial Concepts and Terms
  187.    wt: 1:   musings do not puiblish real numbers
  188.    wt: 1:   A Modular and Remainder Arithmetic
  189.    wt: 1:   A Signed Number Arithmetic Review
  190.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  191.    wt: 1:   22 Multiplication of Signed Numbers
  192.    wt: 1:   21 Addition of Multiples of a Single Vector
  193.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  194.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  195.    wt: 1:   15 Head to Tails in place Addition Associative
  196.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  197.    wt: 1:   13 Arrows and Vectors in a Plane
  198.    wt: 1:   12 Real Numbers Line Signed Coordinates
  199.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  200.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  201.    wt: 1:   4 Location of Point in Decimal Addition
  202.    wt: 1:   1 Fractions with Finite Decimal Expansions
  203.    wt: 1:   B Decimal Comparison and Subtraction
  204.    wt: 1:   A Decimal Addition Columm Methods
  205.    wt: 1:   5 Distributive Law for Whole Numbers
  206.    wt: 1:   3 Multiplicative Counting Skills Principles
  207.    wt: 1:   1 The Counting Origins of Numbers
  208.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  209.    wt: 1:   5 Proportionality in Equivalent Fractions
  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:   4 Comparison of Negative Numbers
  216.    wt: 1:   1 Real Numbers Comparison
  217.    wt: 1:   16 Real Numbers Comparison
  218.    wt: 1:   15 Real Number Division
  219.    wt: 1:   14 Real Number Multiplication
  220.    wt: 1:   13 Real Number Subtraction
  221.    wt: 1:   12 Real Number Additive Inverses or Negatives
  222.    wt: 1:   8 Coordinates for Maps and Planes
  223.    wt: 1:   7 Real Numbers as Line Cordinates
  224.    wt: 1:   6 Unsigned Real Numbers
  225.    wt: 1:   5 Rational Numbers More
  226.    wt: 1:   4 Rational Numbers
  227.    wt: 1:   3 Fractions
  228.    wt: 1:   3 Geometric Formulas and Function Notation
  229.    wt: 1:   1 Formulas Dependence and Function Notation
  230.    wt: 1:   1 Written work formats for developing and showing skill
  231.    wt: 1:   9 Sets in Probability and Statistics
  232.    wt: 1:   8 Sets of Numbers
  233.    wt: 1:   1 Three Skills For Algebra
  234.    wt: 1:   3 Comparison of Negative Numbers
  235.    wt: 1:   1 Squares and Square Roots Introduction
  236.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  237.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  238.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  239.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  240.    wt: 1:   7 GCD and LCM from prime factorization
  241.    wt: 1:   4 LCM of 8 and 10 via Prime
  242.    wt: 1:   3 Counting with Tables and Trees II
  243.    wt: 1:   2 Counting with Tables and Trees I
  244.    wt: 1:   1 Counting and Counting Methods I
  245.    wt: 1:   10 dividing signed numbers
  246.    wt: 1:   9 subtracting signed numbers
  247.    wt: 1:   8 multiplying signed numbers
  248.    wt: 1:   7 negative and additive inverse
  249.    wt: 1:   6 adding signed numbers
  250.    wt: 1:   3 signed coordinates for maps and planes
  251.    wt: 1:   6 Simplification of Fractions with Units
  252.    wt: 1:   4 Fractions with Units
  253.    wt: 1:   2 Equality and Units
  254.    wt: 1:   D Three Term Ratios
  255.    wt: 1:   22 Complex Compound Fractions
  256.    wt: 1:   20 Dividing Fractions the Why
  257.    wt: 1:   19 Dividing Fractions How TO
  258.    wt: 1:   17 Efficient Ways to Add and Subtract
  259.    wt: 1:   16 Addition Subtraction Comparision Compared
  260.    wt: 1:   6 Multiplication of Mixed Numbers
  261.    wt: 1:   5 Equivalent Fractions
  262.    wt: 1:   11 Adding Integers Formulas and Examples
  263.    wt: 1:   8 Multiplication by Signed Numbers Integers
  264.    wt: 1:   6 Multiplication by Natural Numbers
  265.    wt: 1:   5 Zero Movement and Additive Inverses
  266.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  267.    wt: 1:   17 Identify and Count Factors using Primes
  268.    wt: 1:   12 LCD GCD and LCM using Primes
  269.    wt: 1:   7 Calculator Usage Notes and Cautions
  270.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  271.    wt: 1:   5 Prime Factorization and a Square Rule
  272.    wt: 1:   3 video Primes and Composites from 9 times table
  273.    wt: 1:   2 Prime and Composites less than 16
  274.    wt: 1:   Division with Counts and Length
  275.    wt: 1:   Long Division forwards and backwards Example 3
  276.    wt: 1:   Long Division forwards and backwards Example 2
  277.    wt: 1:   Long Division forwards and backwards Example 1
  278.    wt: 1:   10 Division by Five Long and Short Ways
  279.    wt: 1:   4 Two and Three Digit Multipliers
  280.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  281.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  282.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  283.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  284.    wt: 1:   7 Adding decimal fractions using decimal point
  285.    wt: 1:   1. Explaining Addition Table
  286.    wt: 1:   11 Place Value SI Standard International way
  287.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  288.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  289.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  290.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  291.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  292.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  293.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  294.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  295.    wt: 1:   016 Numbering Occidental Calendar Days
  296.    wt: 1:   015 School and work day counting tables
  297.    wt: 1:   011 Division of Time Intervals By Numbers
  298.    wt: 1:   010 Repeated Addition of Time Intervals
  299.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  300.    wt: 1:   8 Addition of Time Intervals via subtotaling
  301.    wt: 1:   7 Addition of Time Intervals
  302.    wt: 1:   4 Mixing and Changing Units of Time
  303.    wt: 1:   3 Units and Lengths of Time
  304.    wt: 1:   2 Time and Date Matters in School
  305.    wt: 1:   1 Intro of Kids To Time Date Skills
  306.    wt: 1:   Example 1. Area Between x and x squared
  307.    wt: 1:   17 Derivatives of quotients of sine and cosine
  308.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  309.    wt: 1:   15 sine and cosine derivatives 3rd step
  310.    wt: 1:   14 sine and cosine derivatives 2nd step
  311.    wt: 1:   13 sine and cosine derivatives 1st step
  312.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  313.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  314.    wt: 1:   9 Limits Continuity and Composition
  315.    wt: 1:   5 Jumps and absence of unlimited error control
  316.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  317.    wt: 1:   PostScript For and Against Decimal Perspectives
  318.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  319.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  320.    wt: 1:   Chapter 22 Complex Numbers
  321.    wt: 1:   Chapter 21 Arrow Addition
  322.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  323.    wt: 1:   Chapter 12. Units and Slopes
  324.    wt: 1:   Chapter 10 Slopes and Units
  325.    wt: 1:   Chapter 7 Slopes and Velocity
  326.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  327.    wt: 1:   Chapter 2. Slopes and Ski Trails
  328.    wt: 1:   Appendix E. How To Study Mathematics and Why
  329.    wt: 1:   Appendix D. What to do in School and Why
  330.    wt: 1:   Chapter 31 Direct and Indirect Reason
  331.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  332.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  333.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  334.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  335.    wt: 1:   Chapter 20. Degrees and Radians
  336.    wt: 1:   Chapter 19. Functions and Sets
  337.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  338.    wt: 1:   Chapter 12. Shorthand Usage Guide
  339.    wt: 1:   Chapter 11. Why Shorthand
  340.    wt: 1:   Chapter 10 Describing and Changing Calculations
  341.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  342.    wt: 1:   Chapter 8 Three Skills For Algebra
  343.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  344.    wt: 1:   Chapter 2 For and Against Mathematics
  345.    wt: 1:   Postscript B More on Story Telling and Reason
  346.    wt: 1:   Chapter 24 Direct and Indirect Reason
  347.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  348.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  349.    wt: 1:   Chapter 18 Sense and Knowledge
  350.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  351.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  352.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  353.    wt: 1:   R Why Learn Mathematics Skills
  354.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  355.    wt: 1:   O On Learning Mathematics and Science
  356.    wt: 1:   L Skills with take home value
  357.    wt: 1:   N Improving Marks on Tests and Finals
  358.    wt: 1:   J. More on written work and showing skill
  359.    wt: 1:   H Jigsaw puzzles and problem solving
  360.    wt: 1:   G. Written work formats for developing and showing skill
  361.    wt: 1:   E. When and how to correct errors
  362.    wt: 1:   Chapter 8 Skipped Topics and Why
  363.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  364.    wt: 1:   Chapter 6 More Algebra and Geometry
  365.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  366.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  367.    wt: 1:   7 Games and Activities for Instruction
  368.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  369.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  370.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  371.    wt: 1:   Helping the Blind in Logic and Mathematics
  372.    wt: 1:   More Algebra and Slope based Calculus Preview
  373.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  374.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  375.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  376.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  377.    wt: 1:   The Math Forum and Site Content

Extended Search

718 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   1 More and Less Than for Counts and Measures
  3.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  4.    wt: 9:   3 Multiplying Units and Numbers
  5.    wt: 9:   1 Addition and Subtraction with Units
  6.    wt: 9:   21 Working With Signs
  7.    wt: 9:   18 Efficient Ways to Multiply
  8.    wt: 9:   13 Fraction Comparison Algebraic View
  9.    wt: 9:   12 Fraction Comparison
  10.    wt: 9:   11 Simplification an Algebraic View
  11.    wt: 9:   8 Numerals Fractionals Quantals Take II
  12.    wt: 9:   7 Numerals Fractionals Quantals
  13.    wt: 9:   6 Multiplication Algebraically Take II
  14.    wt: 9:   4 Fraction Multiplication
  15.    wt: 9:   3 Unit fraction of a fraction
  16.    wt: 9:   2 Unit Fraction Multiplication
  17.    wt: 9:   1 What is a fraction Take II
  18.    wt: 9:   1 What is a fraction
  19.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  20.    wt: 8:   3 Comparison of Negative Numbers
  21.    wt: 8:   11 What are real lengths and numbers
  22.    wt: 8:   5 lengths and signs of numbers
  23.    wt: 8:   2 signed and unsigned numbers as coordinates
  24.    wt: 8:   6 Simplification of Fractions with Units
  25.    wt: 8:   4 Fractions with Units
  26.    wt: 8:   2 Equality and Units
  27.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  28.    wt: 8:   8 What skills and work habits to require
  29.    wt: 8:   6. Counting and adding units and mixed units
  30.    wt: 7:   4 Greater More Less Than Signs in General
  31.    wt: 7:   1 Squares and Square Roots Introduction
  32.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  33.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  34.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  35.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  36.    wt: 7:   7 GCD and LCM from prime factorization
  37.    wt: 7:   4 LCM of 8 and 10 via Prime
  38.    wt: 7:   3 Counting with Tables and Trees II
  39.    wt: 7:   2 Counting with Tables and Trees I
  40.    wt: 7:   1 Counting and Counting Methods I
  41.    wt: 7:   10 dividing signed numbers
  42.    wt: 7:   9 subtracting signed numbers
  43.    wt: 7:   8 multiplying signed numbers
  44.    wt: 7:   7 negative and additive inverse
  45.    wt: 7:   6 adding signed numbers
  46.    wt: 7:   3 signed coordinates for maps and planes
  47.    wt: 7:   7 Converting or Changing Units
  48.    wt: 7:   6 Multiplication by Natural Numbers
  49.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  50.    wt: 7:   17 Identify and Count Factors using Primes
  51.    wt: 7:   12 LCD GCD and LCM using Primes
  52.    wt: 7:   7 Calculator Usage Notes and Cautions
  53.    wt: 7:   5 Prime Factorization and a Square Rule
  54.    wt: 7:   3 video Primes and Composites from 9 times table
  55.    wt: 7:   2 Prime and Composites less than 16
  56.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  57.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  58.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  59.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  60.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  61.    wt: 7:   7 Adding decimal fractions using decimal point
  62.    wt: 7:   1. Explaining Addition Table
  63.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  64.    wt: 7:   Quick history of numbers and algebra
  65.    wt: 7:   Exact Arithmetic Wholes and Fractions
  66.    wt: 6:   5 Square Roots with primes more still
  67.    wt: 6:   4 Square Roots with primes more
  68.    wt: 6:   3 Properties of Square Roots with example
  69.    wt: 6:   2 Square Roots with Prime
  70.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  71.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  72.    wt: 6:   13 GCD from given Prime Factorization
  73.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  74.    wt: 6:   8 GCD from Euclidean Algorithm
  75.    wt: 6:   6 GCD from Prime
  76.    wt: 6:   5 Common Divisors 60 45 via Prime
  77.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  78.    wt: 6:   2 Least Common Multiple LCM intro via list method
  79.    wt: 6:   1 Least Common Multiples LCM Introduction
  80.    wt: 6:   12 GCD 2700 288 via Prime
  81.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  82.    wt: 6:   4 Counting with Trees Product Rule Take I
  83.    wt: 6:   4 signed coordinates for regions in space
  84.    wt: 6:   11 Adding Integers Formulas and Examples
  85.    wt: 6:   8 Multiplication by Signed Numbers Integers
  86.    wt: 6:   5 Zero Movement and Additive Inverses
  87.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  88.    wt: 6:   26 Divisibility by 2 3 5 Example
  89.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  90.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  91.    wt: 6:   23 Remainder Arithmetic Modulo 2
  92.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  93.    wt: 6:   21 Remainder Arithmetic Modulo 3
  94.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  95.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  96.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  97.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  98.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  99.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  100.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  101.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  102.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  103.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  104.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  105.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  106.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  107.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  108.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  109.    wt: 6:   5 Remainder Arithmetic Modulo 5
  110.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  111.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  112.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  113.    wt: 6:   1 Remainder Arithmetic Modulo 10
  114.    wt: 6:   20 Uniqueness of Prime Factorization
  115.    wt: 6:   19 video Prime Factorization Unique
  116.    wt: 6:   18 video Count Factors given Prime Factorization
  117.    wt: 6:   16 video Factors of 980 using prime
  118.    wt: 6:   15 video Factors of 20 using Prime Factorization
  119.    wt: 6:   14 video Factors of 24 Take II
  120.    wt: 6:   13 video Factors of 24 using prime
  121.    wt: 6:   11 Efficient Square Rule Use
  122.    wt: 6:   10 video Prime Factorization upto 23 squared
  123.    wt: 6:   9 video Prime Factorization upto 19 squared
  124.    wt: 6:   8 video Prime Factorization upto 19
  125.    wt: 6:   4 video Prime Factorization Introduction
  126.    wt: 6:   1 video how Products are bigger than factor
  127.    wt: 6:   Division with Counts and Length
  128.    wt: 6:   Long Division forwards and backwards Example 3
  129.    wt: 6:   Long Division forwards and backwards Example 2
  130.    wt: 6:   Long Division forwards and backwards Example 1
  131.    wt: 6:   10 Division by Five Long and Short Ways
  132.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  133.    wt: 6:   6 Multiplication Commutes Order Not Important
  134.    wt: 6:   4 Two and Three Digit Multipliers
  135.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  136.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  137.    wt: 6:   Subtraction with J Conversions Example
  138.    wt: 6:   Subtraction Another Video Lesson
  139.    wt: 6:   9 22 Minute Subtraction Review Video
  140.    wt: 6:   8 Subtraction with Units of Measure
  141.    wt: 6:   5 A Tip for Efficent Subtraction
  142.    wt: 6:   2 Subtraction Easy Case Examples
  143.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  144.    wt: 6:   5. How to add decimals C. Examples
  145.    wt: 6:   4. How to add with decimals B with conversions
  146.    wt: 6:   3. How to add with decimals A sans conversions
  147.    wt: 6:   2 Decimal Counting Practices
  148.    wt: 6:   11 Place Value SI Standard International way
  149.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  150.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  151.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  152.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  153.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  154.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  155.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  156.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  157.    wt: 5:   11 Signed Number Addition and Addition Properties
  158.    wt: 5:   arithmetic videos Real Player Format
  159.    wt: 5:   D Remainders Modulo 11 Pair Rule
  160.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  161.    wt: 5:   B Integer Long Division Multiple Choices
  162.    wt: 5:   A Associative Law Theorectical Note
  163.    wt: 5:   13 Subtraction with Additive Inverse
  164.    wt: 5:   12 Adding Integers More Examples
  165.    wt: 5:   10 Integer Multiplication Formulas
  166.    wt: 5:   9 Multiplying Integers
  167.    wt: 5:   7 Multiplication by Signs
  168.    wt: 5:   4 Adding Movements wiht opposite directions
  169.    wt: 5:   3 Adding Movements with same direction
  170.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  171.    wt: 5:   1 Integers as Coordinates
  172.    wt: 5:   Long Division Backwards more
  173.    wt: 5:   Long Division Backward
  174.    wt: 5:   12 Why Long Division Works Take III
  175.    wt: 5:   11 Another Single Digit Divisor Example
  176.    wt: 5:   9 Why Long Division Works Take II
  177.    wt: 5:   8 Correcting the Mistake
  178.    wt: 5:   7 Long Divison Mistake Catching
  179.    wt: 5:   5 Long Division Include Zeroes or not
  180.    wt: 5:   4 Division with 2 Digit Divsors
  181.    wt: 5:   3 Division Single Digit Divisor Example
  182.    wt: 5:   2 Division with Single Digit Divisors
  183.    wt: 5:   1 Divsion Physical Examples
  184.    wt: 5:   D Decimal Multiplication Methods Derived
  185.    wt: 5:   C Counting Areas with Powers of Ten
  186.    wt: 5:   B Powers of Ten
  187.    wt: 5:   A Elementary Basis for Multiplication Methods
  188.    wt: 5:   5 Decimal Fraction Multiplication
  189.    wt: 5:   3 More One Digit Multipliers
  190.    wt: 5:   2 One Digit Multipliers
  191.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  192.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  193.    wt: 5:   Video Power Notation in Decimal Expansion
  194.    wt: 5:   1 Why 3 times 5 gives 15
  195.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  196.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  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:   2 Combing Counts Addition Skills and Principles
  204.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  205.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  206.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  207.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  208.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  209.    wt: 3:   13 Addition and Addition Tables
  210.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  211.    wt: 3:   6 Field Properties of Complex Number
  212.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  213.    wt: 3:   3 Trigonometric Ratios sine and cosine
  214.    wt: 3:   6 Polar Multiplication and Rotation
  215.    wt: 3:   5 Cartesian Addition and Translation
  216.    wt: 3:   6 Ruler and compass Angle Bisection
  217.    wt: 3:   8 Division and Mulplication of Compound Fractions
  218.    wt: 3:   4 Rates Ratios and Proporitionality
  219.    wt: 3:   2 Addition and Multiplication Axioms
  220.    wt: 3:   3 More and Less Than with Unlike Signs
  221.    wt: 3:   2 More and Less Than for Counts and Measures
  222.    wt: 3:   11 Real Number Addition
  223.    wt: 3:   10 Real Number Lengths and Signs
  224.    wt: 3:   1 Whole and Natural Numbers
  225.    wt: 3:   6 Three Examples
  226.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  227.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  228.    wt: 3:   I. Logic and language skills
  229.    wt: 3:   How to Build Skills and Confidence
  230.    wt: 3:   7 Games and Activities for Instruction
  231.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  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:   2 Reading and Writing Skills
  237.    wt: 2:   Ages 12 to 14 Skills with take home value
  238.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  239.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  240.    wt: 2:   9 Summary Degrees to Radians and back
  241.    wt: 2:   1 Degrees and Radians Introduction
  242.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  243.    wt: 2:   Vector and Complex Number Applet
  244.    wt: 2:   Parallel Lines and Parallel Transversals
  245.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  246.    wt: 2:   Parallel Lines and Interior Angles
  247.    wt: 2:   14 cosine even and sine and tangent are odd
  248.    wt: 2:   21 Logarithms Powers and Exponentials
  249.    wt: 2:   20 N th Roots of Complex Numbers
  250.    wt: 2:   16 References and Originality Question
  251.    wt: 2:   13 Trig Formulas for dot and cross Products
  252.    wt: 2:   12 cis formulas for sine cosines and tangent
  253.    wt: 2:   11 sine and cosine double triple angle formulas
  254.    wt: 2:   9 The complex number valued trig function cis
  255.    wt: 2:   3 Addition Properties
  256.    wt: 2:   2 Complex Numbers made easier we hope
  257.    wt: 2:   Appetizer A Complex Number Applet
  258.    wt: 2:   7 Trignometric Ratios Unit Circle
  259.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  260.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  261.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  262.    wt: 2:   10 Midpoint of [a b] and [b a]
  263.    wt: 2:   7 Exercises to test skill and concept mastery
  264.    wt: 2:   6 Intersection of lines by solving linear systems
  265.    wt: 2:   1 Numerical view of lines and their equations
  266.    wt: 2:   What is and is not here
  267.    wt: 2:   7 Complex Numbers Appetizer
  268.    wt: 2:   4 Polar Coordinates to and from
  269.    wt: 2:   PS H Distributive Law For Complex Numbers
  270.    wt: 2:   PS G Rotation Distributes over Addition
  271.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  272.    wt: 2:   PS D Addition with Cartesian Coordinates
  273.    wt: 2:   16 Angles Subtended By Chords and Diameters
  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:   21 Addition of Multiples of a Single Vector
  282.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  283.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  284.    wt: 2:   15 Head to Tails in place Addition Associative
  285.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  286.    wt: 2:   13 Arrows and Vectors in a Plane
  287.    wt: 2:   12 Real Numbers Line Signed Coordinates
  288.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  289.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  290.    wt: 2:   4 Location of Point in Decimal Addition
  291.    wt: 2:   1 Fractions with Finite Decimal Expansions
  292.    wt: 2:   B Decimal Comparison and Subtraction
  293.    wt: 2:   A Decimal Addition Columm Methods
  294.    wt: 2:   6 Column Methods for Decimal Multiplication
  295.    wt: 2:   5 Distributive Law for Whole Numbers
  296.    wt: 2:   3 Multiplicative Counting Skills Principles
  297.    wt: 2:   1 The Counting Origins of Numbers
  298.    wt: 2:   5 Proportionality in Equivalent Fractions
  299.    wt: 2:   6 Equations and Systems Equivalent or Implied
  300.    wt: 2:   4 Subtraction and Division Axioms
  301.    wt: 2:   4 Comparison of Negative Numbers
  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:   8 Coordinates for Maps and Planes
  309.    wt: 2:   7 Real Numbers as Line Cordinates
  310.    wt: 2:   6 Unsigned Real Numbers
  311.    wt: 2:   5 Rational Numbers More
  312.    wt: 2:   4 Rational Numbers
  313.    wt: 2:   3 Fractions
  314.    wt: 2:   3 Geometric Formulas and Function Notation
  315.    wt: 2:   1 Formulas Dependence and Function Notation
  316.    wt: 2:   3 GE III Equation Addition and Multiplication
  317.    wt: 2:   Skill Development Notes
  318.    wt: 2:   10 One Example
  319.    wt: 2:   9 Three Examples
  320.    wt: 2:   8 One Example
  321.    wt: 2:   7 Two Examples
  322.    wt: 2:   5 Three Examples
  323.    wt: 2:   4 Two Examples
  324.    wt: 2:   3 Two Examples
  325.    wt: 2:   2 Three Examples
  326.    wt: 2:   5 Talking about Numbers and Quantities
  327.    wt: 2:   4 A Brief Story of numbers and algebra
  328.    wt: 2:   016 Numbering Occidental Calendar Days
  329.    wt: 2:   015 School and work day counting tables
  330.    wt: 2:   011 Division of Time Intervals By Numbers
  331.    wt: 2:   010 Repeated Addition of Time Intervals
  332.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  333.    wt: 2:   8 Addition of Time Intervals via subtotaling
  334.    wt: 2:   7 Addition of Time Intervals
  335.    wt: 2:   4 Mixing and Changing Units of Time
  336.    wt: 2:   3 Units and Lengths of Time
  337.    wt: 2:   2 Time and Date Matters in School
  338.    wt: 2:   1 Intro of Kids To Time Date Skills
  339.    wt: 2:   Example 1. Area Between x and x squared
  340.    wt: 2:   38 Formulas and derivatives for powers and roots
  341.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  342.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  343.    wt: 2:   9 Limits Continuity and Composition
  344.    wt: 2:   5 Jumps and absence of unlimited error control
  345.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  346.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  347.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  348.    wt: 2:   Appendix E. How To Study Mathematics and Why
  349.    wt: 2:   Appendix D. What to do in School and Why
  350.    wt: 2:   Chapter 31 Direct and Indirect Reason
  351.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  352.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  353.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  354.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  355.    wt: 2:   Chapter 20. Degrees and Radians
  356.    wt: 2:   Chapter 19. Functions and Sets
  357.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  358.    wt: 2:   Chapter 12. Shorthand Usage Guide
  359.    wt: 2:   Chapter 11. Why Shorthand
  360.    wt: 2:   Chapter 10 Describing and Changing Calculations
  361.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  362.    wt: 2:   Chapter 8 Three Skills For Algebra
  363.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  364.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  365.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  366.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  367.    wt: 2:   R Why Learn Mathematics Skills
  368.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  369.    wt: 2:   O On Learning Mathematics and Science
  370.    wt: 2:   L Skills with take home value
  371.    wt: 2:   N Improving Marks on Tests and Finals
  372.    wt: 2:   J. More on written work and showing skill
  373.    wt: 2:   H Jigsaw puzzles and problem solving
  374.    wt: 2:   G. Written work formats for developing and showing skill
  375.    wt: 2:   E. When and how to correct errors
  376.    wt: 1:   Appendix 1 primary and preschool mathematic
  377.    wt: 1:   G LAMP Introduction Problem Solving Skills
  378.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  379.    wt: 1:   Skills Chapter 5 Calculus
  380.    wt: 1:   Skills Chapter 4 Logic
  381.    wt: 1:   Skills Chapter 3 Algebra
  382.    wt: 1:   Skills Chapter 2 Geometry
  383.    wt: 1:   Skills Chapter 1 Arithmetic
  384.    wt: 1:   Skills Chapter 0 Introduction
  385.    wt: 1:   7 logic review and decimals an odd combination
  386.    wt: 1:   5 logarithms and exponentials etc
  387.    wt: 1:   2 arithmetic with signed numbers
  388.    wt: 1:   1 arithmetic with unsigned numbers
  389.    wt: 1:   key notes and themes
  390.    wt: 1:   what should be learnt and When
  391.    wt: 1:   standards for course material
  392.    wt: 1:   Theory of Knowledge
  393.    wt: 1:   Education in mathematics science and technology
  394.    wt: 1:   Motivation and Context Problem
  395.    wt: 1:   fairness and inductive principles for instruction
  396.    wt: 1:   2 Unlike resistors in parallel01
  397.    wt: 1:   F Unlike Resistors in Series
  398.    wt: 1:   Home Tutoring and Home Schooling
  399.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  400.    wt: 1:   24 Standards For Skill Develoment Take II
  401.    wt: 1:   24 Standards For Skill Develoment
  402.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  403.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  404.    wt: 1:   17 Math Booklets for children and young teenagers
  405.    wt: 1:   14 Multiplication and Times Tables
  406.    wt: 1:   12 Goals and Objectives For Mathematics
  407.    wt: 1:   11 Help and Defend Your Child or Teens Education
  408.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  409.    wt: 1:   5 Patience Please for Yourself and Your Charges
  410.    wt: 1:   4 Learning Takes Time and Effort
  411.    wt: 1:   1 Speaking Skills
  412.    wt: 1:   Ages 12 to 14 Geometry
  413.    wt: 1:   Ages 12 to 14 Arithmetic
  414.    wt: 1:   Ages 10 to 12 Geometry
  415.    wt: 1:   Ages 10 to 12 Arithmetic
  416.    wt: 1:   Ages 9 to 10
  417.    wt: 1:   Ages 8 to 9
  418.    wt: 1:   Ages 7 to 8
  419.    wt: 1:   Ages 6 to 7
  420.    wt: 1:   Ages 4 plus to 5 plus
  421.    wt: 1:   Ages 3 plus to 4 plus
  422.    wt: 1:   26 Function definitions done and coming
  423.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  424.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  425.    wt: 1:   19 Horizontal line rule and method
  426.    wt: 1:   18 Vertical Line Rule and Method
  427.    wt: 1:   17 Function maxima minima and their location
  428.    wt: 1:   11 Function Domain Range Source and Targets
  429.    wt: 1:   9 Set theory term relation possible origins
  430.    wt: 1:   8 Set view of relations and functions
  431.    wt: 1:   6 Set Existence Formation and Notation
  432.    wt: 1:   4 Function notation in and beyond mathematics
  433.    wt: 1:   9 quadratics physical and further context
  434.    wt: 1:   11 Growth and Decay in Biology
  435.    wt: 1:   10 Exponential Growth and Decay Models
  436.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  437.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  438.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  439.    wt: 1:   3 Polynomials Multiplication Addition
  440.    wt: 1:   16 cotangent function Definition Graph and Inverse
  441.    wt: 1:   15 cosecant function Definition Graph and Inverse
  442.    wt: 1:   14 secant function Definition Graph and Inverse
  443.    wt: 1:   13 cosecant function Definition Graph and Inverse
  444.    wt: 1:   8 Radian Measures of Common Angles
  445.    wt: 1:   7 Radian Measures in special Triangles
  446.    wt: 1:   6 Radian Measure to Degrees
  447.    wt: 1:   5 Degrees to Radian Measure
  448.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  449.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  450.    wt: 1:   2 Radian Measure Numerical Value of one degree
  451.    wt: 1:   A Global Time and Navigation
  452.    wt: 1:   15 Dot and Cross Product
  453.    wt: 1:   10 Parallelogram Addition Method
  454.    wt: 1:   5 Head To Tail Arrow Addition
  455.    wt: 1:   4 graphing y=Asin(x c)
  456.    wt: 1:   3 graphing y=f(x c) plus K
  457.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  458.    wt: 1:   1 graphing y=f(x a)
  459.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  460.    wt: 1:   Triangle Angles Sum To 180 Degrees
  461.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  462.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  463.    wt: 1:   Straight Lines ASA Intersection Study More
  464.    wt: 1:   Straight Lines ASA Intersection Study
  465.    wt: 1:   Straight Lines Instersection Solving Equations
  466.    wt: 1:   Straight Lines Intersection of
  467.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  468.    wt: 1:   C Straight Lines Slope from Coordinates
  469.    wt: 1:   B Straight Line Slope Scaling Properties More
  470.    wt: 1:   A Straight Line Slope Scaling Properties
  471.    wt: 1:   14 Straight Lines Equations General Case
  472.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  473.    wt: 1:   12 Straight Lines Graphing mx plus b
  474.    wt: 1:   11 Straight Lines Graphing y=mx
  475.    wt: 1:   10 Straight Lines through Origin Equations More
  476.    wt: 1:   9 Straight Lines through Origin Equations
  477.    wt: 1:   8 Straight Lines Equation for vertical
  478.    wt: 1:   7 Tangent Function is odd on this domain
  479.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  480.    wt: 1:   5 Tangent Function Graph
  481.    wt: 1:   4 Tangent Function Properties
  482.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  483.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  484.    wt: 1:   1 Straight Lines Slope Concept
  485.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  486.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  487.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  488.    wt: 1:   29 secant cosecant and cotangent for acute angles
  489.    wt: 1:   27 Logarithmic use of products of sines and cosines
  490.    wt: 1:   26 Formulas for products of sines and cosines
  491.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  492.    wt: 1:   21 sine and cosine Half Angle Formulas
  493.    wt: 1:   20 sine and cosine Double Angle Formulas
  494.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  495.    wt: 1:   17E Trig Formulas for dot and cross Products
  496.    wt: 1:   17D cis formulas for sine cosines and tangent
  497.    wt: 1:   17C sine and cosine double triple angle formulas
  498.    wt: 1:   17A The complex number valued trig function cis
  499.    wt: 1:   10 Graphs of sines and cosines many periods
  500.    wt: 1:   9 Graphs of sine and cosine over one period
  501.    wt: 1:   7 period of sine and cosine
  502.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  503.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  504.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  505.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  506.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  507.    wt: 1:   19 N th Roots of Unity
  508.    wt: 1:   18 Sixth Roots of Unity
  509.    wt: 1:   17 Cube Roots of unity
  510.    wt: 1:   15 Pythagorean Theorem Converse
  511.    wt: 1:   14 Law of cosines
  512.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  513.    wt: 1:   8 Unit Circle Development of Trigonometry
  514.    wt: 1:   7 Second Way to Calculate Products
  515.    wt: 1:   5 An Easy Proof of the Distributive Law
  516.    wt: 1:   4 Multiplication Properties
  517.    wt: 1:   1 Rectangular Polar Coordinates Review
  518.    wt: 1:   8 Triangles Cascade Problem Solving
  519.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  520.    wt: 1:   1 Angle Measurement with Degrees
  521.    wt: 1:   Why Trigonometry the whyslopes view
  522.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  523.    wt: 1:   8 Similarity of Triangles and Polygons
  524.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  525.    wt: 1:   Four Simple Exercises
  526.    wt: 1:   12 Links Lessons elsewhere
  527.    wt: 1:   11 A Partial Summary
  528.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  529.    wt: 1:   8 Mid Point Formula
  530.    wt: 1:   5 Algebraic View of Slopes
  531.    wt: 1:   4 Equations for lines three forms
  532.    wt: 1:   3 Slope product for perpendicular lines
  533.    wt: 1:   2 point slope equation for a line
  534.    wt: 1:   13 Pythagorean spatial distance formulas
  535.    wt: 1:   12 Spatial Coordinates
  536.    wt: 1:   11 Triangle Inequality
  537.    wt: 1:   10 Pythagorean plane distance formula
  538.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  539.    wt: 1:   8 Distance Between Points on a Line
  540.    wt: 1:   3 Rectangular Coordinates Review
  541.    wt: 1:   2 Cartesian Coordinates with signs
  542.    wt: 1:   1 Cartesian Coordinates sans signs
  543.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  544.    wt: 1:   PS E Multiplication with Polar Coordinates
  545.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  546.    wt: 1:   PS B Parallelogram Construction Methods
  547.    wt: 1:   PS A Kite Construction Methods
  548.    wt: 1:   21 Parallelograms
  549.    wt: 1:   19 Right Triangle Similarity
  550.    wt: 1:   18 Triangle Similarity Take 1
  551.    wt: 1:   17 Right Bisectors of Triangle Sides
  552.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  553.    wt: 1:   14 Parallel Lines Postulate
  554.    wt: 1:   13 Angle Side Angle Failure
  555.    wt: 1:   12 Side Angle Side Failure
  556.    wt: 1:   11 Triangle Construction Fails
  557.    wt: 1:   10 Dropping a perpendicular to line
  558.    wt: 1:   9 Construction of a right bisector
  559.    wt: 1:   8 Isoceles Triangles
  560.    wt: 1:   7 Angle Side Angle
  561.    wt: 1:   5 Side Angle Side
  562.    wt: 1:   4 Side Side Side
  563.    wt: 1:   3 Isometry of Triangles Congruence
  564.    wt: 1:   2 Correspondence between Triangles
  565.    wt: 1:   Short Course on Euclidean Geometry
  566.    wt: 1:   26 More Less Greater Than Comparison
  567.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  568.    wt: 1:   23 Distributive Law Two Derivations
  569.    wt: 1:   19 Signed Multiples of Vectors
  570.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  571.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  572.    wt: 1:   9 Division with Digits after Decimal Point
  573.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  574.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  575.    wt: 1:   3 Location of Point in Decimal Multiplication
  576.    wt: 1:   2 Counting Digits in Decimal Multiplication
  577.    wt: 1:   E Long Division Methods more
  578.    wt: 1:   D Long Division Methods
  579.    wt: 1:   C Three Decimal Subtraction Methods
  580.    wt: 1:   8 Column Multiplication Methods in General
  581.    wt: 1:   7 Decimals Multiplication Methods Examples
  582.    wt: 1:   4 Commutative Law Groups Counting Form
  583.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  584.    wt: 1:   3 Proportionality Examples
  585.    wt: 1:   2 Algebraic View
  586.    wt: 1:   1 What is Proportionality
  587.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  588.    wt: 1:   6 Compound Interest Forward and Backwards
  589.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  590.    wt: 1:   5 Equality in Algebra
  591.    wt: 1:   3 Product Axioms Two Forms
  592.    wt: 1:   1 Equivalent Computation Rules
  593.    wt: 1:   5 Greater More Less Than Signs in General
  594.    wt: 1:   9 Coordinates for Regions in Space
  595.    wt: 1:   2 Integers
  596.    wt: 1:   5 Independent versus Dependent Variables
  597.    wt: 1:   4 Changing Letters
  598.    wt: 1:   2 Computation Rules Evaluation
  599.    wt: 1:   6 Algebraic Solution Example
  600.    wt: 1:   1 Written work formats for developing and showing skill
  601.    wt: 1:   9 Sets in Probability and Statistics
  602.    wt: 1:   8 Sets of Numbers
  603.    wt: 1:   1 Three Skills For Algebra
  604.    wt: 1:   014 Counting Days with Calendars
  605.    wt: 1:   013 Travel Time Tables
  606.    wt: 1:   012 Division of Time Intervals by Time Intervals
  607.    wt: 1:   6 How long is a million seconds
  608.    wt: 1:   5 Conversion Arithmetic
  609.    wt: 1:   Example 2 volume of a cone
  610.    wt: 1:   Example 1 volume of a pyramid
  611.    wt: 1:   Volume of Solid by Cross Sections Lesson
  612.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  613.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  614.    wt: 1:   Example 4 with x function of y
  615.    wt: 1:   Example 3
  616.    wt: 1:   Example 2
  617.    wt: 1:   Example 1
  618.    wt: 1:   Area Between Curves Lesson Take 2
  619.    wt: 1:   Area Between Curves Lesson Take 1
  620.    wt: 1:   Summary
  621.    wt: 1:   17 Derivatives of quotients of sine and cosine
  622.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  623.    wt: 1:   15 sine and cosine derivatives 3rd step
  624.    wt: 1:   14 sine and cosine derivatives 2nd step
  625.    wt: 1:   13 sine and cosine derivatives 1st step
  626.    wt: 1:   11 Limits at infinity Three Examples
  627.    wt: 1:   10 Three one sided limits with infinite values
  628.    wt: 1:   8 Four Animated Examples
  629.    wt: 1:   7 Evaluation by immediate or delayed substitution
  630.    wt: 1:   6 Continuity at a point
  631.    wt: 1:   4 Numerical properties
  632.    wt: 1:   3 Decimal insights for limits continuity convergence
  633.    wt: 1:   2 Algebraic codification
  634.    wt: 1:   1 Numerical introduction
  635.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  636.    wt: 1:   PostScript For and Against Decimal Perspectives
  637.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  638.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  639.    wt: 1:   Chapter 22 Complex Numbers
  640.    wt: 1:   Chapter 21 Arrow Addition
  641.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  642.    wt: 1:   Chapter 12. Units and Slopes
  643.    wt: 1:   Chapter 10 Slopes and Units
  644.    wt: 1:   Chapter 7 Slopes and Velocity
  645.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  646.    wt: 1:   Chapter 2. Slopes and Ski Trails
  647.    wt: 1:   Postscript More on Better Performance
  648.    wt: 1:   Postscript For Better Performance
  649.    wt: 1:   Appendix C. How to Read
  650.    wt: 1:   Appendix B. How To Learn
  651.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  652.    wt: 1:   Chapter 30 Truth Tables
  653.    wt: 1:   Chapter 28 Occurrence Tables
  654.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  655.    wt: 1:   Chapter 25. Mathematical Induction Examples
  656.    wt: 1:   Chapter 23. Notation For Sums
  657.    wt: 1:   Chapter 21. Third Reading Guide
  658.    wt: 1:   Chapter 18. Rules for Algebra
  659.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  660.    wt: 1:   Chapter 16. Painless Theorem Proving
  661.    wt: 1:   Chapter 15. Solving Linear Equations
  662.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  663.    wt: 1:   Chapter 13. Second Reading Guide
  664.    wt: 1:   Postscript What is a Variable
  665.    wt: 1:   Solutions For Arithmetic Exercises
  666.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  667.    wt: 1:   Chapter 6 Change of Language
  668.    wt: 1:   Chapter 4 Longer Chains of Reason
  669.    wt: 1:   Chapter 3 Chains of Reason
  670.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  671.    wt: 1:   Foreword
  672.    wt: 1:   Chapter 2 For and Against Mathematics
  673.    wt: 1:   Postscript B More on Story Telling and Reason
  674.    wt: 1:   Chapter 24 Direct and Indirect Reason
  675.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  676.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  677.    wt: 1:   Chapter 18 Sense and Knowledge
  678.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  679.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  680.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  681.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  682.    wt: 1:   S Adding words to algebra
  683.    wt: 1:   N Mathematics Prepare for College Studies
  684.    wt: 1:   M Words to extend arithmetic
  685.    wt: 1:   H more Routine to non routine problem solving
  686.    wt: 1:   F. The student teacher tutor feedback loop
  687.    wt: 1:   D. Check work a must with a caution
  688.    wt: 1:   C. Domino effect of being careful
  689.    wt: 1:   B. Domino effect of errors
  690.    wt: 1:   A. Skill has to be seen to believed
  691.    wt: 1:   Chapter 8 Skipped Topics and Why
  692.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  693.    wt: 1:   Chapter 6 More Algebra and Geometry
  694.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  695.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  696.    wt: 1:   Helping the Blind in Logic and Mathematics
  697.    wt: 1:   More Algebra and Slope based Calculus Preview
  698.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  699.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  700.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  701.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  702.    wt: 1:   The Math Forum and Site Content
  703.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  704.    wt: 12:   B Fractions and Two Term Ratios
  705.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  706.    wt: 12:   15 Adding and Subtracting with Unlike Denominators
  707.    wt: 12:   9 Improper Fractions and Mixed Numbers
  708.    wt: 11:   21 Reciprocals for Fractions and Wholes
  709.    wt: 11:   14 Adding and Subtracting with Like Denominators
  710.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  711.    wt: 10:   D Three Term Ratios
  712.    wt: 10:   22 Complex Compound Fractions
  713.    wt: 10:   20 Dividing Fractions the Why
  714.    wt: 10:   19 Dividing Fractions How TO
  715.    wt: 10:   17 Efficient Ways to Add and Subtract
  716.    wt: 10:   16 Addition Subtraction Comparision Compared
  717.    wt: 10:   6 Multiplication of Mixed Numbers
  718.    wt: 10:   5 Equivalent Fractions

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
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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