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:   Step 1 Stick diagram and fractions/
  20.    wt: 2:   Time Date Matters/
  21.    wt: 2:   Skills with take home value/
  22.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  23.    wt: 1:   Mathematics Skills Year by Year/
  24.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  25.    wt: 1:   12 Function Translating and Rescaling/
  26.    wt: 1:   11 Parallel Straight Lines and Transversals/
  27.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  28.    wt: 1:   7 Complex Numbers/
  29.    wt: 1:   6 Trigonometry first steps/
  30.    wt: 1:   4 Lines and Slopes Take 1/
  31.    wt: 1:   3 Cartesian and Polar Coordinates/
  32.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  33.    wt: 1:   B Real Numbers Extrinsic Development/
  34.    wt: 1:   A Origins of Counting and Figuring Methods/
  35.    wt: 1:   9 Proportionality Backwards and Forwards/
  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

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