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: 8:   B Decimal Comparing and Subtracting Methods/
  2.    wt: 8:   A Decimal Counting and Adding Methods/
  3.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  4.    wt: 7:   7 Arithmetic and Fractions with Units/
  5.    wt: 7:   6 Fractions and Ratios/
  6.    wt: 7:   D Decimal Long Division Methods/
  7.    wt: 7:   C Decimal Multiplication Methods/
  8.    wt: 6:   11 Squares and Square Roots/
  9.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  10.    wt: 6:   9 Combinatorics Trees Tables and Products/
  11.    wt: 6:   8 Arithmetic with Signed Numbers/
  12.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  13.    wt: 6:   3 Prime Factorization Skills/
  14.    wt: 6:   2 Arithmetic with Decimals/
  15.    wt: 6:   1 Decimal Place Value/
  16.    wt: 5:   5 Integers/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   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:   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:   A Origins of Counting and Figuring Methods/
  32.    wt: 1:   9 Proportionality Backwards and Forwards/
  33.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  34.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  35.    wt: 1:   5 Real Numbers/
  36.    wt: 1:   4 Computation Rules and Function Notation/
  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

379 matches:

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

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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