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: 9:   7 Arithmetic and Fractions with Units/
  2.    wt: 9:   6 Fractions and Ratios/
  3.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  4.    wt: 7:   8 Arithmetic with Signed Numbers/
  5.    wt: 7:   B Decimal Comparing and Subtracting Methods/
  6.    wt: 7:   A Decimal Counting and Adding Methods/
  7.    wt: 6:   11 Squares and Square Roots/
  8.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  9.    wt: 6:   9 Combinatorics Trees Tables and Products/
  10.    wt: 6:   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:   9 Lines and Slopes Take 2 with tangent function/
  19.    wt: 2:   9 Proportionality Backwards and Forwards/
  20.    wt: 2:   Step 1 Stick diagram and fractions/
  21.    wt: 2:   Time Date Matters/
  22.    wt: 2:   Skills with take home value/
  23.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  24.    wt: 1:   Mathematics Skills Year by Year/
  25.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  26.    wt: 1:   12 Function Translating and Rescaling/
  27.    wt: 1:   11 Parallel Straight Lines and Transversals/
  28.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  29.    wt: 1:   7 Complex Numbers/
  30.    wt: 1:   6 Trigonometry first steps/
  31.    wt: 1:   4 Lines and Slopes Take 1/
  32.    wt: 1:   3 Cartesian and Polar Coordinates/
  33.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  34.    wt: 1:   B Real Numbers Extrinsic Development/
  35.    wt: 1:   A Origins of Counting and Figuring Methods/
  36.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  37.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  38.    wt: 1:   5 Real Numbers/
  39.    wt: 1:   4 Computation Rules and Function Notation/
  40.    wt: 1:   1 Working With Sets/
  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

407 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  3.    wt: 4:   6. Counting and adding units and mixed units
  4.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  5.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  6.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  7.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  8.    wt: 3:   6 Simplification of Fractions with Units
  9.    wt: 3:   4 Fractions with Units
  10.    wt: 3:   3 Multiplying Units and Numbers
  11.    wt: 3:   1 Addition and Subtraction with Units
  12.    wt: 3:   B Fractions and Two Term Ratios
  13.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  14.    wt: 3:   9 Improper Fractions and Mixed Numbers
  15.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  16.    wt: 2:   Ramblings Extrinsic numbers theory
  17.    wt: 2:   2 arithmetic with signed numbers
  18.    wt: 2:   1 arithmetic with unsigned numbers
  19.    wt: 2:   2 Reading and Writing Skills
  20.    wt: 2:   Ages 12 to 14 Skills with take home value
  21.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  22.    wt: 2:   Vector and Complex Number Applet
  23.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  24.    wt: 2:   14 cosine even and sine and tangent are odd
  25.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  26.    wt: 2:   3 Trigonometric Ratios sine and cosine
  27.    wt: 2:   3 Lengths and Areas on Maps and Plans
  28.    wt: 2:   11 Signed Number Addition and Addition Properties
  29.    wt: 2:   8 Division and Mulplication of Compound Fractions
  30.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  31.    wt: 2:   1 Fractions with Finite Decimal Expansions
  32.    wt: 2:   2 Combing Counts Addition Skills and Principles
  33.    wt: 2:   5 Proportionality in Equivalent Fractions
  34.    wt: 2:   4 Rates Ratios and Proporitionality
  35.    wt: 2:   3 More and Less Than with Unlike Signs
  36.    wt: 2:   2 More and Less Than for Counts and Measures
  37.    wt: 2:   10 Real Number Lengths and Signs
  38.    wt: 2:   1 Whole and Natural Numbers
  39.    wt: 2:   5 Talking about Numbers and Quantities
  40.    wt: 2:   4 A Brief Story of numbers and algebra
  41.    wt: 2:   2 More and Less Than with Unlike Signs
  42.    wt: 2:   1 More and Less Than for Counts and Measures
  43.    wt: 2:   3 Counting with Tables and Trees II
  44.    wt: 2:   2 Counting with Tables and Trees I
  45.    wt: 2:   11 What are real lengths and numbers
  46.    wt: 2:   5 lengths and signs of numbers
  47.    wt: 2:   2 signed and unsigned numbers as coordinates
  48.    wt: 2:   2 Equality and Units
  49.    wt: 2:   21 Reciprocals for Fractions and Wholes
  50.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  51.    wt: 2:   14 Adding and Subtracting with Like Denominators
  52.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  53.    wt: 2:   Division with Counts and Length
  54.    wt: 2:   8 Subtraction with Units of Measure
  55.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  56.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  57.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  58.    wt: 2:   8 What skills and work habits to require
  59.    wt: 2:   4. How to add with decimals B with conversions
  60.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  61.    wt: 2:   Quick history of numbers and algebra
  62.    wt: 2:   Exact Arithmetic Wholes and Fractions
  63.    wt: 2:   4 Mixing and Changing Units of Time
  64.    wt: 2:   3 Units and Lengths of Time
  65.    wt: 2:   38 Formulas and derivatives for powers and roots
  66.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  67.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  68.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  69.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  70.    wt: 2:   Chapter 12. Units and Slopes
  71.    wt: 2:   Chapter 10 Slopes and Units
  72.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  73.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  74.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  75.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  76.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  77.    wt: 2:   L Skills with take home value
  78.    wt: 2:   I. Logic and language skills
  79.    wt: 2:   How to Build Skills and Confidence
  80.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  81.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  82.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  83.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  84.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  85.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  86.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  87.    wt: 1:   Appendix 1 primary and preschool mathematic
  88.    wt: 1:   G LAMP Introduction Problem Solving Skills
  89.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  90.    wt: 1:   Skills Chapter 5 Calculus
  91.    wt: 1:   Skills Chapter 4 Logic
  92.    wt: 1:   Skills Chapter 3 Algebra
  93.    wt: 1:   Skills Chapter 2 Geometry
  94.    wt: 1:   Skills Chapter 1 Arithmetic
  95.    wt: 1:   Skills Chapter 0 Introduction
  96.    wt: 1:   7 logic review and decimals an odd combination
  97.    wt: 1:   5 logarithms and exponentials etc
  98.    wt: 1:   key notes and themes
  99.    wt: 1:   what should be learnt and When
  100.    wt: 1:   the trouble with algebra
  101.    wt: 1:   standards for course material
  102.    wt: 1:   Theory of Knowledge
  103.    wt: 1:   Education in mathematics science and technology
  104.    wt: 1:   Motivation and Context Problem
  105.    wt: 1:   fairness and inductive principles for instruction
  106.    wt: 1:   Home Tutoring and Home Schooling
  107.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  108.    wt: 1:   24 Standards For Skill Develoment Take II
  109.    wt: 1:   24 Standards For Skill Develoment
  110.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  111.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  112.    wt: 1:   17 Math Booklets for children and young teenagers
  113.    wt: 1:   14 Multiplication and Times Tables
  114.    wt: 1:   13 Addition and Addition Tables
  115.    wt: 1:   12 Goals and Objectives For Mathematics
  116.    wt: 1:   11 Help and Defend Your Child or Teens Education
  117.    wt: 1:   5 Patience Please for Yourself and Your Charges
  118.    wt: 1:   4 Learning Takes Time and Effort
  119.    wt: 1:   1 Speaking Skills
  120.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  121.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  122.    wt: 1:   26 Function definitions done and coming
  123.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  124.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  125.    wt: 1:   19 Horizontal line rule and method
  126.    wt: 1:   18 Vertical Line Rule and Method
  127.    wt: 1:   17 Function maxima minima and their location
  128.    wt: 1:   11 Function Domain Range Source and Targets
  129.    wt: 1:   9 Set theory term relation possible origins
  130.    wt: 1:   8 Set view of relations and functions
  131.    wt: 1:   7 Functions with finite domains
  132.    wt: 1:   6 Set Existence Formation and Notation
  133.    wt: 1:   4 Function notation in and beyond mathematics
  134.    wt: 1:   9 quadratics physical and further context
  135.    wt: 1:   11 Growth and Decay in Biology
  136.    wt: 1:   10 Exponential Growth and Decay Models
  137.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  138.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  139.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  140.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  141.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  142.    wt: 1:   16 cotangent function Definition Graph and Inverse
  143.    wt: 1:   15 cosecant function Definition Graph and Inverse
  144.    wt: 1:   14 secant function Definition Graph and Inverse
  145.    wt: 1:   13 cosecant function Definition Graph and Inverse
  146.    wt: 1:   9 Summary Degrees to Radians and back
  147.    wt: 1:   1 Degrees and Radians Introduction
  148.    wt: 1:   A Global Time and Navigation
  149.    wt: 1:   15 Dot and Cross Product
  150.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  151.    wt: 1:   6 Vectors with Coordinates
  152.    wt: 1:   3 Navigation with Arrows or Vectors
  153.    wt: 1:   Parallel Lines and Parallel Transversals
  154.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  155.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  156.    wt: 1:   Parallel Lines and Interior Angles
  157.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  158.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  159.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  160.    wt: 1:   29 secant cosecant and cotangent for acute angles
  161.    wt: 1:   27 Logarithmic use of products of sines and cosines
  162.    wt: 1:   26 Formulas for products of sines and cosines
  163.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  164.    wt: 1:   21 sine and cosine Half Angle Formulas
  165.    wt: 1:   20 sine and cosine Double Angle Formulas
  166.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  167.    wt: 1:   17E Trig Formulas for dot and cross Products
  168.    wt: 1:   17D cis formulas for sine cosines and tangent
  169.    wt: 1:   17C sine and cosine double triple angle formulas
  170.    wt: 1:   17A The complex number valued trig function cis
  171.    wt: 1:   10 Graphs of sines and cosines many periods
  172.    wt: 1:   9 Graphs of sine and cosine over one period
  173.    wt: 1:   7 period of sine and cosine
  174.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  175.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  176.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  177.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  178.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  179.    wt: 1:   21 Logarithms Powers and Exponentials
  180.    wt: 1:   20 N th Roots of Complex Numbers
  181.    wt: 1:   16 References and Originality Question
  182.    wt: 1:   13 Trig Formulas for dot and cross Products
  183.    wt: 1:   12 cis formulas for sine cosines and tangent
  184.    wt: 1:   11 sine and cosine double triple angle formulas
  185.    wt: 1:   9 The complex number valued trig function cis
  186.    wt: 1:   6 Field Properties of Complex Number
  187.    wt: 1:   2 Complex Numbers made easier we hope
  188.    wt: 1:   Appetizer A Complex Number Applet
  189.    wt: 1:   7 Trignometric Ratios Unit Circle
  190.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  191.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  192.    wt: 1:   1 Angle Measurement with Degrees
  193.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  194.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  195.    wt: 1:   8 Similarity of Triangles and Polygons
  196.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  197.    wt: 1:   4 Similarity Definition with Coordinate
  198.    wt: 1:   3 Similarity by Design with coordinates
  199.    wt: 1:   10 Midpoint of [a b] and [b a]
  200.    wt: 1:   7 Exercises to test skill and concept mastery
  201.    wt: 1:   1 Numerical view of lines and their equations
  202.    wt: 1:   What is and is not here
  203.    wt: 1:   7 Complex Numbers Appetizer
  204.    wt: 1:   6 Polar Multiplication and Rotation
  205.    wt: 1:   5 Cartesian Addition and Translation
  206.    wt: 1:   4 Polar Coordinates to and from
  207.    wt: 1:   2 Cartesian Coordinates with signs
  208.    wt: 1:   PS H Distributive Law For Complex Numbers
  209.    wt: 1:   PS E Multiplication with Polar Coordinates
  210.    wt: 1:   PS D Addition with Cartesian Coordinates
  211.    wt: 1:   16 Angles Subtended By Chords and Diameters
  212.    wt: 1:   6 Ruler and compass Angle Bisection
  213.    wt: 1:   1 Initial Concepts and Terms
  214.    wt: 1:   A Measurement with Ruler Proper Use
  215.    wt: 1:   6 Figuring with Maps Not to Scale
  216.    wt: 1:   musings do not puiblish real numbers
  217.    wt: 1:   A Modular and Remainder Arithmetic
  218.    wt: 1:   A Signed Number Arithmetic Review
  219.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  220.    wt: 1:   22 Multiplication of Signed Numbers
  221.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  222.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  223.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  224.    wt: 1:   13 Arrows and Vectors in a Plane
  225.    wt: 1:   12 Real Numbers Line Signed Coordinates
  226.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  227.    wt: 1:   9 Division with Digits after Decimal Point
  228.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  229.    wt: 1:   B Decimal Comparison and Subtraction
  230.    wt: 1:   5 Distributive Law for Whole Numbers
  231.    wt: 1:   3 Multiplicative Counting Skills Principles
  232.    wt: 1:   1 The Counting Origins of Numbers
  233.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  234.    wt: 1:   3 Proportionality Examples
  235.    wt: 1:   1 What is Proportionality
  236.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  237.    wt: 1:   6 Compound Interest Forward and Backwards
  238.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  239.    wt: 1:   6 Equations and Systems Equivalent or Implied
  240.    wt: 1:   4 Subtraction and Division Axioms
  241.    wt: 1:   2 Addition and Multiplication Axioms
  242.    wt: 1:   4 Comparison of Negative Numbers
  243.    wt: 1:   1 Real Numbers Comparison
  244.    wt: 1:   16 Real Numbers Comparison
  245.    wt: 1:   15 Real Number Division
  246.    wt: 1:   14 Real Number Multiplication
  247.    wt: 1:   13 Real Number Subtraction
  248.    wt: 1:   12 Real Number Additive Inverses or Negatives
  249.    wt: 1:   11 Real Number Addition
  250.    wt: 1:   8 Coordinates for Maps and Planes
  251.    wt: 1:   7 Real Numbers as Line Cordinates
  252.    wt: 1:   6 Unsigned Real Numbers
  253.    wt: 1:   5 Rational Numbers More
  254.    wt: 1:   4 Rational Numbers
  255.    wt: 1:   3 Fractions
  256.    wt: 1:   3 Geometric Formulas and Function Notation
  257.    wt: 1:   1 Formulas Dependence and Function Notation
  258.    wt: 1:   3 GE III Equation Addition and Multiplication
  259.    wt: 1:   2 Essentially one exercises three with solution
  260.    wt: 1:   13 Naming Identifying Formulas with Words
  261.    wt: 1:   1 Written work formats for developing and showing skill
  262.    wt: 1:   9 Sets in Probability and Statistics
  263.    wt: 1:   8 Sets of Numbers
  264.    wt: 1:   3 Counting with Sets etc
  265.    wt: 1:   1 Three Skills For Algebra
  266.    wt: 1:   3 Comparison of Negative Numbers
  267.    wt: 1:   5 Square Roots with primes more still
  268.    wt: 1:   4 Square Roots with primes more
  269.    wt: 1:   3 Properties of Square Roots with example
  270.    wt: 1:   2 Square Roots with Prime
  271.    wt: 1:   1 Squares and Square Roots Introduction
  272.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  273.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  274.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  275.    wt: 1:   7 GCD and LCM from prime factorization
  276.    wt: 1:   4 LCM of 8 and 10 via Prime
  277.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  278.    wt: 1:   4 Counting with Trees Product Rule Take I
  279.    wt: 1:   1 Counting and Counting Methods I
  280.    wt: 1:   10 dividing signed numbers
  281.    wt: 1:   9 subtracting signed numbers
  282.    wt: 1:   8 multiplying signed numbers
  283.    wt: 1:   7 negative and additive inverse
  284.    wt: 1:   6 adding signed numbers
  285.    wt: 1:   3 signed coordinates for maps and planes
  286.    wt: 1:   7 Converting or Changing Units
  287.    wt: 1:   D Three Term Ratios
  288.    wt: 1:   22 Complex Compound Fractions
  289.    wt: 1:   21 Working With Signs
  290.    wt: 1:   20 Dividing Fractions the Why
  291.    wt: 1:   19 Dividing Fractions How TO
  292.    wt: 1:   17 Efficient Ways to Add and Subtract
  293.    wt: 1:   6 Multiplication of Mixed Numbers
  294.    wt: 1:   5 Equivalent Fractions
  295.    wt: 1:   13 Subtraction with Additive Inverse
  296.    wt: 1:   11 Adding Integers Formulas and Examples
  297.    wt: 1:   8 Multiplication by Signed Numbers Integers
  298.    wt: 1:   6 Multiplication by Natural Numbers
  299.    wt: 1:   5 Zero Movement and Additive Inverses
  300.    wt: 1:   3 Adding Movements with same direction
  301.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  302.    wt: 1:   17 Identify and Count Factors using Primes
  303.    wt: 1:   12 LCD GCD and LCM using Primes
  304.    wt: 1:   7 Calculator Usage Notes and Cautions
  305.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  306.    wt: 1:   5 Prime Factorization and a Square Rule
  307.    wt: 1:   3 video Primes and Composites from 9 times table
  308.    wt: 1:   2 Prime and Composites less than 16
  309.    wt: 1:   Long Division forwards and backwards Example 3
  310.    wt: 1:   Long Division forwards and backwards Example 2
  311.    wt: 1:   Long Division forwards and backwards Example 1
  312.    wt: 1:   10 Division by Five Long and Short Ways
  313.    wt: 1:   4 Division with 2 Digit Divsors
  314.    wt: 1:   2 Division with Single Digit Divisors
  315.    wt: 1:   C Counting Areas with Powers of Ten
  316.    wt: 1:   4 Two and Three Digit Multipliers
  317.    wt: 1:   Subtraction with J Conversions Example
  318.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  319.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  320.    wt: 1:   7 Adding decimal fractions using decimal point
  321.    wt: 1:   3. How to add with decimals A sans conversions
  322.    wt: 1:   11 Place Value SI Standard International way
  323.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  324.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  325.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  326.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  327.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  328.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  329.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  330.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  331.    wt: 1:   016 Numbering Occidental Calendar Days
  332.    wt: 1:   015 School and work day counting tables
  333.    wt: 1:   014 Counting Days with Calendars
  334.    wt: 1:   011 Division of Time Intervals By Numbers
  335.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  336.    wt: 1:   2 Time and Date Matters in School
  337.    wt: 1:   1 Intro of Kids To Time Date Skills
  338.    wt: 1:   Example 1. Area Between x and x squared
  339.    wt: 1:   Example 4 with x function of y
  340.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  341.    wt: 1:   17 Derivatives of quotients of sine and cosine
  342.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  343.    wt: 1:   15 sine and cosine derivatives 3rd step
  344.    wt: 1:   14 sine and cosine derivatives 2nd step
  345.    wt: 1:   13 sine and cosine derivatives 1st step
  346.    wt: 1:   10 Three one sided limits with infinite values
  347.    wt: 1:   9 Limits Continuity and Composition
  348.    wt: 1:   5 Jumps and absence of unlimited error control
  349.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  350.    wt: 1:   G.5 Motions With Bounded Velocities
  351.    wt: 1:   PostScript For and Against Decimal Perspectives
  352.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  353.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  354.    wt: 1:   Chapter 22 Complex Numbers
  355.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  356.    wt: 1:   Chapter 7 Slopes and Velocity
  357.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  358.    wt: 1:   Chapter 2. Slopes and Ski Trails
  359.    wt: 1:   Appendix E. How To Study Mathematics and Why
  360.    wt: 1:   Appendix D. What to do in School and Why
  361.    wt: 1:   Chapter 31 Direct and Indirect Reason
  362.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  363.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  364.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  365.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  366.    wt: 1:   Chapter 20. Degrees and Radians
  367.    wt: 1:   Chapter 19. Functions and Sets
  368.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  369.    wt: 1:   Chapter 12. Shorthand Usage Guide
  370.    wt: 1:   Chapter 11. Why Shorthand
  371.    wt: 1:   Chapter 10 Describing and Changing Calculations
  372.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  373.    wt: 1:   Chapter 8 Three Skills For Algebra
  374.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  375.    wt: 1:   Chapter 2 For and Against Mathematics
  376.    wt: 1:   Postscript B More on Story Telling and Reason
  377.    wt: 1:   Chapter 24 Direct and Indirect Reason
  378.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  379.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  380.    wt: 1:   Chapter 18 Sense and Knowledge
  381.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  382.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  383.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  384.    wt: 1:   R Why Learn Mathematics Skills
  385.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  386.    wt: 1:   O On Learning Mathematics and Science
  387.    wt: 1:   N Improving Marks on Tests and Finals
  388.    wt: 1:   J. More on written work and showing skill
  389.    wt: 1:   H Jigsaw puzzles and problem solving
  390.    wt: 1:   G. Written work formats for developing and showing skill
  391.    wt: 1:   E. When and how to correct errors
  392.    wt: 1:   D. Check work a must with a caution
  393.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  394.    wt: 1:   Chapter 8 Skipped Topics and Why
  395.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  396.    wt: 1:   Chapter 6 More Algebra and Geometry
  397.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  398.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  399.    wt: 1:   7 Games and Activities for Instruction
  400.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  401.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  402.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  403.    wt: 1:   Helping the Blind in Logic and Mathematics
  404.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  405.    wt: 1:   More Algebra and Slope based Calculus Preview
  406.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  407.    wt: 1:   The Math Forum and Site Content

Extended Search

737 matches:

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

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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