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: 7:   12 Comparison of Unsigned and Signed Numbers/
  2.    wt: 7:   7 Arithmetic and Fractions with Units/
  3.    wt: 7:   6 Fractions and Ratios/
  4.    wt: 7:   B Decimal Comparing and Subtracting Methods/
  5.    wt: 7:   A Decimal Counting and Adding Methods/
  6.    wt: 6:   11 Squares and Square Roots/
  7.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  8.    wt: 6:   9 Combinatorics Trees Tables and Products/
  9.    wt: 6:   8 Arithmetic with Signed Numbers/
  10.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  11.    wt: 6:   3 Prime Factorization Skills/
  12.    wt: 6:   D Decimal Long Division Methods/
  13.    wt: 6:   C Decimal Multiplication Methods/
  14.    wt: 6:   2 Arithmetic with Decimals/
  15.    wt: 5:   5 Integers/
  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:   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

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

Extended Search

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

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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