Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters. For better or best skill development practices, see site chapters and steps.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, 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.

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43 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: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  21.    wt: 1:   12 Function Translating and Rescaling/
  22.    wt: 1:   11 Parallel Straight Lines and Transversals/
  23.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  24.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  25.    wt: 1:   7 Complex Numbers/
  26.    wt: 1:   6 Trigonometry first steps/
  27.    wt: 1:   4 Lines and Slopes Take 1/
  28.    wt: 1:   3 Cartesian and Polar Coordinates/
  29.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  30.    wt: 1:   B Real Numbers Extrinsic Development/
  31.    wt: 1:   A Origins of Counting and Figuring Methods/
  32.    wt: 1:   9 Proportionality Backwards and Forwards/
  33.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  34.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  35.    wt: 1:   5 Real Numbers/
  36.    wt: 1:   4 Computation Rules and Function Notation/
  37.    wt: 1:   Time Date Matters/
  38.    wt: 1:   Skills with take home value/
  39.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  40.    wt: 1:   13 Lessons on Limits and Continuity/
  41.    wt: 1:   Volume 2 Three Skills For Algebra/
  42.    wt: 1:   Work and Study Tips/
  43.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

352 matches:

  1.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   B Fractions and Two Term Ratios
  3.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  4.    wt: 3:   9 Improper Fractions and Mixed Numbers
  5.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  6.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  7.    wt: 2:   Ramblings Extrinsic numbers theory
  8.    wt: 2:   2 Reading and Writing Skills
  9.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  10.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  11.    wt: 2:   9 Set theory term relation possible origins
  12.    wt: 2:   Vector and Complex Number Applet
  13.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  14.    wt: 2:   14 cosine even and sine and tangent are odd
  15.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  16.    wt: 2:   3 Trigonometric Ratios sine and cosine
  17.    wt: 2:   1 Initial Concepts and Terms
  18.    wt: 2:   3 Lengths and Areas on Maps and Plans
  19.    wt: 2:   11 Signed Number Addition and Addition Properties
  20.    wt: 2:   8 Division and Mulplication of Compound Fractions
  21.    wt: 2:   2 Combing Counts Addition Skills and Principles
  22.    wt: 2:   4 Rates Ratios and Proporitionality
  23.    wt: 2:   2 More and Less Than for Counts and Measures
  24.    wt: 2:   10 Real Number Lengths and Signs
  25.    wt: 2:   1 Whole and Natural Numbers
  26.    wt: 2:   5 Talking about Numbers and Quantities
  27.    wt: 2:   4 A Brief Story of numbers and algebra
  28.    wt: 2:   1 More and Less Than for Counts and Measures
  29.    wt: 2:   11 What are real lengths and numbers
  30.    wt: 2:   5 lengths and signs of numbers
  31.    wt: 2:   2 signed and unsigned numbers as coordinates
  32.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  33.    wt: 2:   3 Multiplying Units and Numbers
  34.    wt: 2:   D Three Term Ratios
  35.    wt: 2:   21 Reciprocals for Fractions and Wholes
  36.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  37.    wt: 2:   8 What skills and work habits to require
  38.    wt: 2:   6. Counting and adding units and mixed units
  39.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  40.    wt: 2:   Quick history of numbers and algebra
  41.    wt: 2:   Exact Arithmetic Wholes and Fractions
  42.    wt: 2:   38 Formulas and derivatives for powers and roots
  43.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  44.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  45.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  46.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  47.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  48.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  49.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  50.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  51.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  52.    wt: 2:   I. Logic and language skills
  53.    wt: 2:   How to Build Skills and Confidence
  54.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  55.    wt: 1:   Appendix 1 primary and preschool mathematic
  56.    wt: 1:   G LAMP Introduction Problem Solving Skills
  57.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  58.    wt: 1:   Skills Chapter 5 Calculus
  59.    wt: 1:   Skills Chapter 4 Logic
  60.    wt: 1:   Skills Chapter 3 Algebra
  61.    wt: 1:   Skills Chapter 2 Geometry
  62.    wt: 1:   Skills Chapter 1 Arithmetic
  63.    wt: 1:   Skills Chapter 0 Introduction
  64.    wt: 1:   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:   Objectives for Mathematics and Logic Language Skill Development
  91.    wt: 1:   26 Function definitions done and coming
  92.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  93.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  94.    wt: 1:   19 Horizontal line rule and method
  95.    wt: 1:   18 Vertical Line Rule and Method
  96.    wt: 1:   17 Function maxima minima and their location
  97.    wt: 1:   11 Function Domain Range Source and Targets
  98.    wt: 1:   8 Set view of relations and functions
  99.    wt: 1:   6 Set Existence Formation and Notation
  100.    wt: 1:   4 Function notation in and beyond mathematics
  101.    wt: 1:   9 quadratics physical and further context
  102.    wt: 1:   11 Growth and Decay in Biology
  103.    wt: 1:   10 Exponential Growth and Decay Models
  104.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  105.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  106.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  107.    wt: 1:   16 cotangent function Definition Graph and Inverse
  108.    wt: 1:   15 cosecant function Definition Graph and Inverse
  109.    wt: 1:   14 secant function Definition Graph and Inverse
  110.    wt: 1:   13 cosecant function Definition Graph and Inverse
  111.    wt: 1:   12 motivation for term arctan
  112.    wt: 1:   4 possible motivation for term arccos
  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:   11 tangent function undefined when terminal side vertical
  136.    wt: 1:   10 Graphs of sines and cosines many periods
  137.    wt: 1:   9 Graphs of sine and cosine over one period
  138.    wt: 1:   7 period of sine and cosine
  139.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  140.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  141.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  142.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  143.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  144.    wt: 1:   21 Logarithms Powers and Exponentials
  145.    wt: 1:   20 N th Roots of Complex Numbers
  146.    wt: 1:   16 References and Originality Question
  147.    wt: 1:   13 Trig Formulas for dot and cross Products
  148.    wt: 1:   12 cis formulas for sine cosines and tangent
  149.    wt: 1:   11 sine and cosine double triple angle formulas
  150.    wt: 1:   9 The complex number valued trig function cis
  151.    wt: 1:   6 Field Properties of Complex Number
  152.    wt: 1:   2 Complex Numbers made easier we hope
  153.    wt: 1:   Appetizer A Complex Number Applet
  154.    wt: 1:   7 Trignometric Ratios Unit Circle
  155.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  156.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  157.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  158.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  159.    wt: 1:   8 Similarity of Triangles and Polygons
  160.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  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:   musings do not puiblish real numbers
  173.    wt: 1:   A Modular and Remainder Arithmetic
  174.    wt: 1:   A Signed Number Arithmetic Review
  175.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  176.    wt: 1:   22 Multiplication of Signed Numbers
  177.    wt: 1:   21 Addition of Multiples of a Single Vector
  178.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  179.    wt: 1:   19 Signed Multiples of Vectors
  180.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  181.    wt: 1:   13 Arrows and Vectors in a Plane
  182.    wt: 1:   12 Real Numbers Line Signed Coordinates
  183.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  184.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  185.    wt: 1:   1 Fractions with Finite Decimal Expansions
  186.    wt: 1:   B Decimal Comparison and Subtraction
  187.    wt: 1:   5 Distributive Law for Whole Numbers
  188.    wt: 1:   3 Multiplicative Counting Skills Principles
  189.    wt: 1:   1 The Counting Origins of Numbers
  190.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  191.    wt: 1:   5 Proportionality in Equivalent Fractions
  192.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  193.    wt: 1:   6 Compound Interest Forward and Backwards
  194.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  195.    wt: 1:   6 Equations and Systems Equivalent or Implied
  196.    wt: 1:   4 Subtraction and Division Axioms
  197.    wt: 1:   2 Addition and Multiplication Axioms
  198.    wt: 1:   4 Comparison of Negative Numbers
  199.    wt: 1:   3 More and Less Than with Unlike Signs
  200.    wt: 1:   1 Real Numbers Comparison
  201.    wt: 1:   16 Real Numbers Comparison
  202.    wt: 1:   15 Real Number Division
  203.    wt: 1:   14 Real Number Multiplication
  204.    wt: 1:   13 Real Number Subtraction
  205.    wt: 1:   12 Real Number Additive Inverses or Negatives
  206.    wt: 1:   11 Real Number Addition
  207.    wt: 1:   8 Coordinates for Maps and Planes
  208.    wt: 1:   7 Real Numbers as Line Cordinates
  209.    wt: 1:   6 Unsigned Real Numbers
  210.    wt: 1:   5 Rational Numbers More
  211.    wt: 1:   4 Rational Numbers
  212.    wt: 1:   3 Fractions
  213.    wt: 1:   3 Geometric Formulas and Function Notation
  214.    wt: 1:   1 Formulas Dependence and Function Notation
  215.    wt: 1:   3 GE III Equation Addition and Multiplication
  216.    wt: 1:   1 Written work formats for developing and showing skill
  217.    wt: 1:   9 Sets in Probability and Statistics
  218.    wt: 1:   8 Sets of Numbers
  219.    wt: 1:   1 Three Skills For Algebra
  220.    wt: 1:   3 Comparison of Negative Numbers
  221.    wt: 1:   2 More and Less Than with Unlike Signs
  222.    wt: 1:   1 Squares and Square Roots Introduction
  223.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  224.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  225.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  226.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  227.    wt: 1:   7 GCD and LCM from prime factorization
  228.    wt: 1:   4 LCM of 8 and 10 via Prime
  229.    wt: 1:   2 Least Common Multiple LCM intro via list method
  230.    wt: 1:   1 Least Common Multiples LCM Introduction
  231.    wt: 1:   3 Counting with Tables and Trees II
  232.    wt: 1:   2 Counting with Tables and Trees I
  233.    wt: 1:   1 Counting and Counting Methods I
  234.    wt: 1:   10 dividing signed numbers
  235.    wt: 1:   9 subtracting signed numbers
  236.    wt: 1:   8 multiplying signed numbers
  237.    wt: 1:   7 negative and additive inverse
  238.    wt: 1:   6 adding signed numbers
  239.    wt: 1:   3 signed coordinates for maps and planes
  240.    wt: 1:   6 Simplification of Fractions with Units
  241.    wt: 1:   4 Fractions with Units
  242.    wt: 1:   2 Equality and Units
  243.    wt: 1:   1 Addition and Subtraction with Units
  244.    wt: 1:   22 Complex Compound Fractions
  245.    wt: 1:   20 Dividing Fractions the Why
  246.    wt: 1:   19 Dividing Fractions How TO
  247.    wt: 1:   17 Efficient Ways to Add and Subtract
  248.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  249.    wt: 1:   14 Adding and Subtracting with Like Denominators
  250.    wt: 1:   5 Equivalent Fractions
  251.    wt: 1:   B Integer Long Division Multiple Choices
  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:   F.3 Intermediate Value Theorem
  303.    wt: 1:   PostScript For and Against Decimal Perspectives
  304.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  305.    wt: 1:   Chapter 22 Complex Numbers
  306.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  307.    wt: 1:   Chapter 12. Units and Slopes
  308.    wt: 1:   Chapter 10 Slopes and Units
  309.    wt: 1:   Chapter 7 Slopes and Velocity
  310.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  311.    wt: 1:   Chapter 2. Slopes and Ski Trails
  312.    wt: 1:   Appendix E. How To Study Mathematics and Why
  313.    wt: 1:   Appendix D. What to do in School and Why
  314.    wt: 1:   Chapter 31 Direct and Indirect Reason
  315.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  316.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  317.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  318.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  319.    wt: 1:   Chapter 20. Degrees and Radians
  320.    wt: 1:   Chapter 19. Functions and Sets
  321.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  322.    wt: 1:   Chapter 12. Shorthand Usage Guide
  323.    wt: 1:   Chapter 11. Why Shorthand
  324.    wt: 1:   Chapter 10 Describing and Changing Calculations
  325.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  326.    wt: 1:   Chapter 8 Three Skills For Algebra
  327.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  328.    wt: 1:   Chapter 2 For and Against Mathematics
  329.    wt: 1:   Postscript B More on Story Telling and Reason
  330.    wt: 1:   Chapter 24 Direct and Indirect Reason
  331.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  332.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  333.    wt: 1:   Chapter 18 Sense and Knowledge
  334.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  335.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  336.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  337.    wt: 1:   R Why Learn Mathematics Skills
  338.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  339.    wt: 1:   O On Learning Mathematics and Science
  340.    wt: 1:   L Skills with take home value
  341.    wt: 1:   N Improving Marks on Tests and Finals
  342.    wt: 1:   J. More on written work and showing skill
  343.    wt: 1:   H Jigsaw puzzles and problem solving
  344.    wt: 1:   G. Written work formats for developing and showing skill
  345.    wt: 1:   E. When and how to correct errors
  346.    wt: 1:   Helping the Blind in Logic and Mathematics
  347.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  348.    wt: 1:   More Algebra and Slope based Calculus Preview
  349.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  350.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  351.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  352.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

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

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