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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44 matches:

  1.    wt: 9:   6 Fractions and Ratios/
  2.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 7:   7 Arithmetic and Fractions with Units/
  4.    wt: 6:   11 Squares and Square Roots/
  5.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  6.    wt: 6:   9 Combinatorics Trees Tables and Products/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   Step 1 Stick diagram and fractions/
  19.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  20.    wt: 1:   Mathematics Skills Year by Year/
  21.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 1:   12 Function Translating and Rescaling/
  23.    wt: 1:   11 Parallel Straight Lines and Transversals/
  24.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  26.    wt: 1:   7 Complex Numbers/
  27.    wt: 1:   6 Trigonometry first steps/
  28.    wt: 1:   4 Lines and Slopes Take 1/
  29.    wt: 1:   3 Cartesian and Polar Coordinates/
  30.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  31.    wt: 1:   B Real Numbers Extrinsic Development/
  32.    wt: 1:   A Origins of Counting and Figuring Methods/
  33.    wt: 1:   9 Proportionality Backwards and Forwards/
  34.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  35.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  36.    wt: 1:   5 Real Numbers/
  37.    wt: 1:   4 Computation Rules and Function Notation/
  38.    wt: 1:   Time Date Matters/
  39.    wt: 1:   Skills with take home value/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Volume 2 Three Skills For Algebra/
  43.    wt: 1:   Work and Study Tips/
  44.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

362 matches:

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

Extended Search

715 matches:

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

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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