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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45 matches:

  1.    wt: 8:   3 Prime Factorization Skills/
  2.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 6:   11 Squares and Square Roots/
  4.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  5.    wt: 6:   9 Combinatorics Trees Tables and Products/
  6.    wt: 6:   8 Arithmetic with Signed Numbers/
  7.    wt: 6:   7 Arithmetic and Fractions with Units/
  8.    wt: 6:   6 Fractions and Ratios/
  9.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  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:   10 Examples of Algebraic Reasoning/
  33.    wt: 1:   9 Proportionality Backwards and Forwards/
  34.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  35.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  36.    wt: 1:   5 Real Numbers/
  37.    wt: 1:   4 Computation Rules and Function Notation/
  38.    wt: 1:   Step 1 Stick diagram and fractions/
  39.    wt: 1:   Time Date Matters/
  40.    wt: 1:   Skills with take home value/
  41.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  42.    wt: 1:   13 Lessons on Limits and Continuity/
  43.    wt: 1:   Volume 2 Three Skills For Algebra/
  44.    wt: 1:   Work and Study Tips/
  45.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

385 matches:

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

Extended Search

722 matches:

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

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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