Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential 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.

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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43 matches:

  1.    wt: 8:   12 Comparison of Unsigned and Signed Numbers/
  2.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  3.    wt: 8:   A Decimal Counting and Adding Methods/
  4.    wt: 7:   D Decimal Long Division Methods/
  5.    wt: 7:   C Decimal Multiplication Methods/
  6.    wt: 6:   11 Squares and Square Roots/
  7.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  8.    wt: 6:   9 Combinatorics Trees Tables and Products/
  9.    wt: 6:   8 Arithmetic with Signed Numbers/
  10.    wt: 6:   7 Arithmetic and Fractions with Units/
  11.    wt: 6:   6 Fractions and Ratios/
  12.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  13.    wt: 6:   3 Prime Factorization Skills/
  14.    wt: 6:   2 Arithmetic with Decimals/
  15.    wt: 6:   1 Decimal Place Value/
  16.    wt: 5:   5 Integers/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   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:   4 Lines and Slopes Take 1/
  27.    wt: 1:   3 Cartesian and Polar Coordinates/
  28.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  29.    wt: 1:   B Real Numbers Extrinsic Development/
  30.    wt: 1:   A Origins of Counting and Figuring Methods/
  31.    wt: 1:   9 Proportionality Backwards and Forwards/
  32.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  33.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  34.    wt: 1:   5 Real Numbers/
  35.    wt: 1:   4 Computation Rules and Function Notation/
  36.    wt: 1:   Step 1 Stick diagram and fractions/
  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

380 matches:

  1.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  2.    wt: 3:   2 signed and unsigned numbers as coordinates
  3.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  4.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  5.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  6.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  7.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 2:   Ramblings Extrinsic numbers theory
  9.    wt: 2:   7 logic review and decimals an odd combination
  10.    wt: 2:   1 arithmetic with unsigned numbers
  11.    wt: 2:   2 Reading and Writing Skills
  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:   13 Navigation Location from Angles to 2 Landmarks
  16.    wt: 2:   4 Polar Coordinates to and from
  17.    wt: 2:   3 Lengths and Areas on Maps and Plans
  18.    wt: 2:   11 Signed Number Addition and Addition Properties
  19.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  20.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  21.    wt: 2:   1 Fractions with Finite Decimal Expansions
  22.    wt: 2:   B Decimal Comparison and Subtraction
  23.    wt: 2:   2 Combing Counts Addition Skills and Principles
  24.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  25.    wt: 2:   2 More and Less Than for Counts and Measures
  26.    wt: 2:   10 Real Number Lengths and Signs
  27.    wt: 2:   6 Unsigned Real Numbers
  28.    wt: 2:   1 Whole and Natural Numbers
  29.    wt: 2:   5 Talking about Numbers and Quantities
  30.    wt: 2:   4 A Brief Story of numbers and algebra
  31.    wt: 2:   1 More and Less Than for Counts and Measures
  32.    wt: 2:   7 GCD and LCM from prime factorization
  33.    wt: 2:   11 What are real lengths and numbers
  34.    wt: 2:   5 lengths and signs of numbers
  35.    wt: 2:   3 Multiplying Units and Numbers
  36.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  37.    wt: 2:   9 Improper Fractions and Mixed Numbers
  38.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  39.    wt: 2:   3 video Primes and Composites from 9 times table
  40.    wt: 2:   8 What skills and work habits to require
  41.    wt: 2:   7 Adding decimal fractions using decimal point
  42.    wt: 2:   6. Counting and adding units and mixed units
  43.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  44.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  45.    wt: 2:   Quick history of numbers and algebra
  46.    wt: 2:   38 Formulas and derivatives for powers and roots
  47.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  48.    wt: 2:   PostScript For and Against Decimal Perspectives
  49.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  50.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  51.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  52.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  53.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  54.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  55.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  56.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  57.    wt: 2:   I. Logic and language skills
  58.    wt: 2:   How to Build Skills and Confidence
  59.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  60.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  61.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  62.    wt: 1:   Appendix 1 primary and preschool mathematic
  63.    wt: 1:   G LAMP Introduction Problem Solving Skills
  64.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  65.    wt: 1:   Skills Chapter 5 Calculus
  66.    wt: 1:   Skills Chapter 4 Logic
  67.    wt: 1:   Skills Chapter 3 Algebra
  68.    wt: 1:   Skills Chapter 2 Geometry
  69.    wt: 1:   Skills Chapter 1 Arithmetic
  70.    wt: 1:   Skills Chapter 0 Introduction
  71.    wt: 1:   5 logarithms and exponentials etc
  72.    wt: 1:   2 arithmetic with signed numbers
  73.    wt: 1:   key notes and themes
  74.    wt: 1:   what should be learnt and When
  75.    wt: 1:   standards for course material
  76.    wt: 1:   Theory of Knowledge
  77.    wt: 1:   Education in mathematics science and technology
  78.    wt: 1:   Motivation and Context Problem
  79.    wt: 1:   fairness and inductive principles for instruction
  80.    wt: 1:   Home Tutoring and Home Schooling
  81.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  82.    wt: 1:   24 Standards For Skill Develoment Take II
  83.    wt: 1:   24 Standards For Skill Develoment
  84.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  85.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  86.    wt: 1:   17 Math Booklets for children and young teenagers
  87.    wt: 1:   14 Multiplication and Times Tables
  88.    wt: 1:   13 Addition and Addition Tables
  89.    wt: 1:   12 Goals and Objectives For Mathematics
  90.    wt: 1:   11 Help and Defend Your Child or Teens Education
  91.    wt: 1:   5 Patience Please for Yourself and Your Charges
  92.    wt: 1:   4 Learning Takes Time and Effort
  93.    wt: 1:   1 Speaking Skills
  94.    wt: 1:   Ages 12 to 14 Skills with take home value
  95.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  96.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  97.    wt: 1:   26 Function definitions done and coming
  98.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  99.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  100.    wt: 1:   19 Horizontal line rule and method
  101.    wt: 1:   18 Vertical Line Rule and Method
  102.    wt: 1:   17 Function maxima minima and their location
  103.    wt: 1:   13 From one to one to many to one
  104.    wt: 1:   11 Function Domain Range Source and Targets
  105.    wt: 1:   9 Set theory term relation possible origins
  106.    wt: 1:   8 Set view of relations and functions
  107.    wt: 1:   6 Set Existence Formation and Notation
  108.    wt: 1:   4 Function notation in and beyond mathematics
  109.    wt: 1:   9 quadratics physical and further context
  110.    wt: 1:   11 Growth and Decay in Biology
  111.    wt: 1:   10 Exponential Growth and Decay Models
  112.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  113.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  114.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  115.    wt: 1:   16 cotangent function Definition Graph and Inverse
  116.    wt: 1:   15 cosecant function Definition Graph and Inverse
  117.    wt: 1:   14 secant function Definition Graph and Inverse
  118.    wt: 1:   13 cosecant function Definition Graph and Inverse
  119.    wt: 1:   9 Summary Degrees to Radians and back
  120.    wt: 1:   1 Degrees and Radians Introduction
  121.    wt: 1:   A Global Time and Navigation
  122.    wt: 1:   15 Dot and Cross Product
  123.    wt: 1:   12 From Applied To Pure Mathematics
  124.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  125.    wt: 1:   1 Unsigned Coordinates
  126.    wt: 1:   Parallel Lines and Parallel Transversals
  127.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  128.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  129.    wt: 1:   Parallel Lines and Interior Angles
  130.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  131.    wt: 1:   C Straight Lines Slope from Coordinates
  132.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  133.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  134.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  135.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  136.    wt: 1:   29 secant cosecant and cotangent for acute angles
  137.    wt: 1:   27 Logarithmic use of products of sines and cosines
  138.    wt: 1:   26 Formulas for products of sines and cosines
  139.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  140.    wt: 1:   21 sine and cosine Half Angle Formulas
  141.    wt: 1:   20 sine and cosine Double Angle Formulas
  142.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  143.    wt: 1:   17E Trig Formulas for dot and cross Products
  144.    wt: 1:   17D cis formulas for sine cosines and tangent
  145.    wt: 1:   17C sine and cosine double triple angle formulas
  146.    wt: 1:   17A The complex number valued trig function cis
  147.    wt: 1:   10 Graphs of sines and cosines many periods
  148.    wt: 1:   9 Graphs of sine and cosine over one period
  149.    wt: 1:   7 period of sine and cosine
  150.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  151.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  152.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  153.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  154.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  155.    wt: 1:   21 Logarithms Powers and Exponentials
  156.    wt: 1:   20 N th Roots of Complex Numbers
  157.    wt: 1:   16 References and Originality Question
  158.    wt: 1:   13 Trig Formulas for dot and cross Products
  159.    wt: 1:   12 cis formulas for sine cosines and tangent
  160.    wt: 1:   11 sine and cosine double triple angle formulas
  161.    wt: 1:   9 The complex number valued trig function cis
  162.    wt: 1:   6 Field Properties of Complex Number
  163.    wt: 1:   2 Complex Numbers made easier we hope
  164.    wt: 1:   Appetizer A Complex Number Applet
  165.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  166.    wt: 1:   3 Trigonometric Ratios sine and cosine
  167.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  168.    wt: 1:   8 Similarity of Triangles and Polygons
  169.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  170.    wt: 1:   10 Midpoint of [a b] and [b a]
  171.    wt: 1:   7 Exercises to test skill and concept mastery
  172.    wt: 1:   1 Numerical view of lines and their equations
  173.    wt: 1:   What is and is not here
  174.    wt: 1:   7 Complex Numbers Appetizer
  175.    wt: 1:   6 Polar Multiplication and Rotation
  176.    wt: 1:   5 Cartesian Addition and Translation
  177.    wt: 1:   PS H Distributive Law For Complex Numbers
  178.    wt: 1:   16 Angles Subtended By Chords and Diameters
  179.    wt: 1:   6 Ruler and compass Angle Bisection
  180.    wt: 1:   1 Initial Concepts and Terms
  181.    wt: 1:   musings do not puiblish real numbers
  182.    wt: 1:   A Modular and Remainder Arithmetic
  183.    wt: 1:   A Signed Number Arithmetic Review
  184.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  185.    wt: 1:   22 Multiplication of Signed Numbers
  186.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  187.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  188.    wt: 1:   13 Arrows and Vectors in a Plane
  189.    wt: 1:   12 Real Numbers Line Signed Coordinates
  190.    wt: 1:   9 Division with Digits after Decimal Point
  191.    wt: 1:   8 Division and Mulplication of Compound Fractions
  192.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  193.    wt: 1:   4 Location of Point in Decimal Addition
  194.    wt: 1:   3 Location of Point in Decimal Multiplication
  195.    wt: 1:   2 Counting Digits in Decimal Multiplication
  196.    wt: 1:   C Three Decimal Subtraction Methods
  197.    wt: 1:   A Decimal Addition Columm Methods
  198.    wt: 1:   7 Decimals Multiplication Methods Examples
  199.    wt: 1:   6 Column Methods for Decimal Multiplication
  200.    wt: 1:   5 Distributive Law for Whole Numbers
  201.    wt: 1:   3 Multiplicative Counting Skills Principles
  202.    wt: 1:   1 The Counting Origins of Numbers
  203.    wt: 1:   4 Rates Ratios and Proporitionality
  204.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  205.    wt: 1:   6 Compound Interest Forward and Backwards
  206.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  207.    wt: 1:   6 Equations and Systems Equivalent or Implied
  208.    wt: 1:   4 Subtraction and Division Axioms
  209.    wt: 1:   2 Addition and Multiplication Axioms
  210.    wt: 1:   4 Comparison of Negative Numbers
  211.    wt: 1:   3 More and Less Than with Unlike Signs
  212.    wt: 1:   1 Real Numbers Comparison
  213.    wt: 1:   16 Real Numbers Comparison
  214.    wt: 1:   15 Real Number Division
  215.    wt: 1:   14 Real Number Multiplication
  216.    wt: 1:   13 Real Number Subtraction
  217.    wt: 1:   12 Real Number Additive Inverses or Negatives
  218.    wt: 1:   11 Real Number Addition
  219.    wt: 1:   8 Coordinates for Maps and Planes
  220.    wt: 1:   7 Real Numbers as Line Cordinates
  221.    wt: 1:   5 Rational Numbers More
  222.    wt: 1:   4 Rational Numbers
  223.    wt: 1:   3 Geometric Formulas and Function Notation
  224.    wt: 1:   1 Formulas Dependence and Function Notation
  225.    wt: 1:   3 GE III Equation Addition and Multiplication
  226.    wt: 1:   1 Written work formats for developing and showing skill
  227.    wt: 1:   9 Sets in Probability and Statistics
  228.    wt: 1:   8 Sets of Numbers
  229.    wt: 1:   1 Three Skills For Algebra
  230.    wt: 1:   3 Comparison of Negative Numbers
  231.    wt: 1:   2 More and Less Than with Unlike Signs
  232.    wt: 1:   1 Squares and Square Roots Introduction
  233.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  234.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  235.    wt: 1:   13 GCD from given Prime Factorization
  236.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  237.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  238.    wt: 1:   8 GCD from Euclidean Algorithm
  239.    wt: 1:   6 GCD from Prime
  240.    wt: 1:   4 LCM of 8 and 10 via Prime
  241.    wt: 1:   3 Counting with Tables and Trees II
  242.    wt: 1:   2 Counting with Tables and Trees I
  243.    wt: 1:   1 Counting and Counting Methods I
  244.    wt: 1:   10 dividing signed numbers
  245.    wt: 1:   9 subtracting signed numbers
  246.    wt: 1:   8 multiplying signed numbers
  247.    wt: 1:   7 negative and additive inverse
  248.    wt: 1:   6 adding signed numbers
  249.    wt: 1:   3 signed coordinates for maps and planes
  250.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  251.    wt: 1:   2 Equality and Units
  252.    wt: 1:   1 Addition and Subtraction with Units
  253.    wt: 1:   B Fractions and Two Term Ratios
  254.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  255.    wt: 1:   21 Reciprocals for Fractions and Wholes
  256.    wt: 1:   17 Efficient Ways to Add and Subtract
  257.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  258.    wt: 1:   14 Adding and Subtracting with Like Denominators
  259.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  260.    wt: 1:   6 Multiplication of Mixed Numbers
  261.    wt: 1:   11 Adding Integers Formulas and Examples
  262.    wt: 1:   8 Multiplication by Signed Numbers Integers
  263.    wt: 1:   6 Multiplication by Natural Numbers
  264.    wt: 1:   5 Zero Movement and Additive Inverses
  265.    wt: 1:   17 Identify and Count Factors using Primes
  266.    wt: 1:   12 LCD GCD and LCM using Primes
  267.    wt: 1:   7 Calculator Usage Notes and Cautions
  268.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  269.    wt: 1:   5 Prime Factorization and a Square Rule
  270.    wt: 1:   2 Prime and Composites less than 16
  271.    wt: 1:   Division with Counts and Length
  272.    wt: 1:   Long Division forwards and backwards Example 3
  273.    wt: 1:   Long Division forwards and backwards Example 2
  274.    wt: 1:   Long Division forwards and backwards Example 1
  275.    wt: 1:   10 Division by Five Long and Short Ways
  276.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  277.    wt: 1:   D Decimal Multiplication Methods Derived
  278.    wt: 1:   5 Decimal Fraction Multiplication
  279.    wt: 1:   4 Two and Three Digit Multipliers
  280.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  281.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  282.    wt: 1:   Video Power Notation in Decimal Expansion
  283.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  284.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  285.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  286.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  287.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  288.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  289.    wt: 1:   5. How to add decimals C. Examples
  290.    wt: 1:   4. How to add with decimals B with conversions
  291.    wt: 1:   3. How to add with decimals A sans conversions
  292.    wt: 1:   2 Decimal Counting Practices
  293.    wt: 1:   11 Place Value SI Standard International way
  294.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  295.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  296.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  297.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  298.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  299.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  300.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  301.    wt: 1:   Exact Arithmetic Wholes and Fractions
  302.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  303.    wt: 1:   016 Numbering Occidental Calendar Days
  304.    wt: 1:   015 School and work day counting tables
  305.    wt: 1:   011 Division of Time Intervals By Numbers
  306.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  307.    wt: 1:   4 Mixing and Changing Units of Time
  308.    wt: 1:   3 Units and Lengths of Time
  309.    wt: 1:   2 Time and Date Matters in School
  310.    wt: 1:   1 Intro of Kids To Time Date Skills
  311.    wt: 1:   Example 1. Area Between x and x squared
  312.    wt: 1:   17 Derivatives of quotients of sine and cosine
  313.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  314.    wt: 1:   15 sine and cosine derivatives 3rd step
  315.    wt: 1:   14 sine and cosine derivatives 2nd step
  316.    wt: 1:   13 sine and cosine derivatives 1st step
  317.    wt: 1:   6 Power rule from product rule
  318.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  319.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  320.    wt: 1:   9 Limits Continuity and Composition
  321.    wt: 1:   5 Jumps and absence of unlimited error control
  322.    wt: 1:   3 Decimal insights for limits continuity convergence
  323.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  324.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  325.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  326.    wt: 1:   Chapter 22 Complex Numbers
  327.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  328.    wt: 1:   Chapter 12. Units and Slopes
  329.    wt: 1:   Chapter 10 Slopes and Units
  330.    wt: 1:   Chapter 7 Slopes and Velocity
  331.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  332.    wt: 1:   Chapter 2. Slopes and Ski Trails
  333.    wt: 1:   Appendix E. How To Study Mathematics and Why
  334.    wt: 1:   Appendix D. What to do in School and Why
  335.    wt: 1:   Chapter 31 Direct and Indirect Reason
  336.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  337.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  338.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  339.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  340.    wt: 1:   Chapter 20. Degrees and Radians
  341.    wt: 1:   Chapter 19. Functions and Sets
  342.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  343.    wt: 1:   Chapter 12. Shorthand Usage Guide
  344.    wt: 1:   Chapter 11. Why Shorthand
  345.    wt: 1:   Chapter 10 Describing and Changing Calculations
  346.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  347.    wt: 1:   Chapter 8 Three Skills For Algebra
  348.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  349.    wt: 1:   Chapter 2 For and Against Mathematics
  350.    wt: 1:   Postscript B More on Story Telling and Reason
  351.    wt: 1:   Chapter 24 Direct and Indirect Reason
  352.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  353.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  354.    wt: 1:   Chapter 18 Sense and Knowledge
  355.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  356.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  357.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  358.    wt: 1:   R Why Learn Mathematics Skills
  359.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  360.    wt: 1:   O On Learning Mathematics and Science
  361.    wt: 1:   L Skills with take home value
  362.    wt: 1:   N Improving Marks on Tests and Finals
  363.    wt: 1:   J. More on written work and showing skill
  364.    wt: 1:   H Jigsaw puzzles and problem solving
  365.    wt: 1:   G. Written work formats for developing and showing skill
  366.    wt: 1:   E. When and how to correct errors
  367.    wt: 1:   Chapter 8 Skipped Topics and Why
  368.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  369.    wt: 1:   Chapter 6 More Algebra and Geometry
  370.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  371.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  372.    wt: 1:   7 Games and Activities for Instruction
  373.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  374.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  375.    wt: 1:   Helping the Blind in Logic and Mathematics
  376.    wt: 1:   More Algebra and Slope based Calculus Preview
  377.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  378.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  379.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  380.    wt: 1:   The Math Forum and Site Content

Extended Search

708 matches:

  1.    wt: 9:   3 Comparison of Negative Numbers
  2.    wt: 9:   2 More and Less Than with Unlike Signs
  3.    wt: 9:   2 signed and unsigned numbers as coordinates
  4.    wt: 9:   Video Power Notation in Decimal Expansion
  5.    wt: 9:   Appendix 2 Three Decimal Subtraction Methods
  6.    wt: 9:   Appendix 1 Decimals Comparison Method Take II
  7.    wt: 9:   7 Subtraction for Decimal Fractions with Exercises
  8.    wt: 9:   4 Subtraction with Conversions Borrows and Letter J
  9.    wt: 9:   3 Harder Cases Convert to Compare and Subtract
  10.    wt: 9:   1 Comparison and Subtraction Easy Direct Cases
  11.    wt: 9:   5. How to add decimals C. Examples
  12.    wt: 9:   4. How to add with decimals B with conversions
  13.    wt: 9:   3. How to add with decimals A sans conversions
  14.    wt: 9:   2 Decimal Counting Practices
  15.    wt: 8:   4 Greater More Less Than Signs in General
  16.    wt: 8:   7 GCD and LCM from prime factorization
  17.    wt: 8:   11 What are real lengths and numbers
  18.    wt: 8:   5 lengths and signs of numbers
  19.    wt: 8:   3 Multiplying Units and Numbers
  20.    wt: 8:   C Equality for Fractions and Two Term Ratios and Fractions
  21.    wt: 8:   9 Improper Fractions and Mixed Numbers
  22.    wt: 8:   A Decimals Modular and Remainder Arithmetic
  23.    wt: 8:   3 video Primes and Composites from 9 times table
  24.    wt: 8:   Division with Counts and Length
  25.    wt: 8:   Long Division forwards and backwards Example 3
  26.    wt: 8:   Long Division forwards and backwards Example 2
  27.    wt: 8:   Long Division forwards and backwards Example 1
  28.    wt: 8:   10 Division by Five Long and Short Ways
  29.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  30.    wt: 8:   D Decimal Multiplication Methods Derived
  31.    wt: 8:   5 Decimal Fraction Multiplication
  32.    wt: 8:   4 Two and Three Digit Multipliers
  33.    wt: 8:   Video Decimal Multiplication Geometric View Example 2
  34.    wt: 8:   Video Decimal Multiplication Geometric View Example 2
  35.    wt: 8:   Subtraction with J Conversions Example
  36.    wt: 8:   Subtraction Another Video Lesson
  37.    wt: 8:   9 22 Minute Subtraction Review Video
  38.    wt: 8:   8 Subtraction with Units of Measure
  39.    wt: 8:   6 Subtraction with Conversion Example with Exercises
  40.    wt: 8:   5 A Tip for Efficent Subtraction
  41.    wt: 8:   2 Subtraction Easy Case Examples
  42.    wt: 8:   Appendix 1 Counting Revisited 15 minute video
  43.    wt: 8:   1. Explaining Addition Table
  44.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  45.    wt: 8:   9 Place Value Review Decimal form of Avogrados number included
  46.    wt: 7:   1 Squares and Square Roots Introduction
  47.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  48.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  49.    wt: 7:   13 GCD from given Prime Factorization
  50.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  51.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  52.    wt: 7:   8 GCD from Euclidean Algorithm
  53.    wt: 7:   6 GCD from Prime
  54.    wt: 7:   4 LCM of 8 and 10 via Prime
  55.    wt: 7:   3 Counting with Tables and Trees II
  56.    wt: 7:   2 Counting with Tables and Trees I
  57.    wt: 7:   1 Counting and Counting Methods I
  58.    wt: 7:   10 dividing signed numbers
  59.    wt: 7:   9 subtracting signed numbers
  60.    wt: 7:   8 multiplying signed numbers
  61.    wt: 7:   7 negative and additive inverse
  62.    wt: 7:   6 adding signed numbers
  63.    wt: 7:   3 signed coordinates for maps and planes
  64.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  65.    wt: 7:   2 Equality and Units
  66.    wt: 7:   1 Addition and Subtraction with Units
  67.    wt: 7:   B Fractions and Two Term Ratios
  68.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  69.    wt: 7:   21 Reciprocals for Fractions and Wholes
  70.    wt: 7:   17 Efficient Ways to Add and Subtract
  71.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  72.    wt: 7:   14 Adding and Subtracting with Like Denominators
  73.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  74.    wt: 7:   6 Multiplication of Mixed Numbers
  75.    wt: 7:   17 Identify and Count Factors using Primes
  76.    wt: 7:   12 LCD GCD and LCM using Primes
  77.    wt: 7:   7 Calculator Usage Notes and Cautions
  78.    wt: 7:   6 Sieve of Eratosthenes and Square Rule
  79.    wt: 7:   5 Prime Factorization and a Square Rule
  80.    wt: 7:   2 Prime and Composites less than 16
  81.    wt: 7:   Long Division Backwards more
  82.    wt: 7:   Long Division Backward
  83.    wt: 7:   12 Why Long Division Works Take III
  84.    wt: 7:   11 Another Single Digit Divisor Example
  85.    wt: 7:   9 Why Long Division Works Take II
  86.    wt: 7:   8 Correcting the Mistake
  87.    wt: 7:   7 Long Divison Mistake Catching
  88.    wt: 7:   5 Long Division Include Zeroes or not
  89.    wt: 7:   4 Division with 2 Digit Divsors
  90.    wt: 7:   3 Division Single Digit Divisor Example
  91.    wt: 7:   2 Division with Single Digit Divisors
  92.    wt: 7:   1 Divsion Physical Examples
  93.    wt: 7:   C Counting Areas with Powers of Ten
  94.    wt: 7:   B Powers of Ten
  95.    wt: 7:   A Elementary Basis for Multiplication Methods
  96.    wt: 7:   6 Multiplication Commutes Order Not Important
  97.    wt: 7:   3 More One Digit Multipliers
  98.    wt: 7:   2 One Digit Multipliers
  99.    wt: 7:   1 Why 3 times 5 gives 15
  100.    wt: 7:   11 Place Value SI Standard International way
  101.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  102.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  103.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  104.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  105.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  106.    wt: 7:   2 Groups of Three Place Value for Multidigit Decimals
  107.    wt: 7:   1 Place Value in Three Digit Whole Numbers
  108.    wt: 7:   Quick history of numbers and algebra
  109.    wt: 6:   5 Square Roots with primes more still
  110.    wt: 6:   4 Square Roots with primes more
  111.    wt: 6:   3 Properties of Square Roots with example
  112.    wt: 6:   2 Square Roots with Prime
  113.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  114.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  115.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  116.    wt: 6:   5 Common Divisors 60 45 via Prime
  117.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  118.    wt: 6:   2 Least Common Multiple LCM intro via list method
  119.    wt: 6:   1 Least Common Multiples LCM Introduction
  120.    wt: 6:   12 GCD 2700 288 via Prime
  121.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  122.    wt: 6:   4 Counting with Trees Product Rule Take I
  123.    wt: 6:   4 signed coordinates for regions in space
  124.    wt: 6:   7 Converting or Changing Units
  125.    wt: 6:   6 Simplification of Fractions with Units
  126.    wt: 6:   4 Fractions with Units
  127.    wt: 6:   D Three Term Ratios
  128.    wt: 6:   22 Complex Compound Fractions
  129.    wt: 6:   21 Working With Signs
  130.    wt: 6:   20 Dividing Fractions the Why
  131.    wt: 6:   19 Dividing Fractions How TO
  132.    wt: 6:   18 Efficient Ways to Multiply
  133.    wt: 6:   16 Addition Subtraction Comparision Compared
  134.    wt: 6:   13 Fraction Comparison Algebraic View
  135.    wt: 6:   12 Fraction Comparison
  136.    wt: 6:   11 Simplification an Algebraic View
  137.    wt: 6:   8 Numerals Fractionals Quantals Take II
  138.    wt: 6:   7 Numerals Fractionals Quantals
  139.    wt: 6:   6 Multiplication Algebraically Take II
  140.    wt: 6:   5 Equivalent Fractions
  141.    wt: 6:   4 Fraction Multiplication
  142.    wt: 6:   3 Unit fraction of a fraction
  143.    wt: 6:   2 Unit Fraction Multiplication
  144.    wt: 6:   1 What is a fraction Take II
  145.    wt: 6:   1 What is a fraction
  146.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  147.    wt: 6:   11 Adding Integers Formulas and Examples
  148.    wt: 6:   8 Multiplication by Signed Numbers Integers
  149.    wt: 6:   6 Multiplication by Natural Numbers
  150.    wt: 6:   5 Zero Movement and Additive Inverses
  151.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  152.    wt: 6:   26 Divisibility by 2 3 5 Example
  153.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  154.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  155.    wt: 6:   23 Remainder Arithmetic Modulo 2
  156.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  157.    wt: 6:   21 Remainder Arithmetic Modulo 3
  158.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  159.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  160.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  161.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  162.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  163.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  164.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  165.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  166.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  167.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  168.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  169.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  170.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  171.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  172.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  173.    wt: 6:   5 Remainder Arithmetic Modulo 5
  174.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  175.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  176.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  177.    wt: 6:   1 Remainder Arithmetic Modulo 10
  178.    wt: 6:   20 Uniqueness of Prime Factorization
  179.    wt: 6:   19 video Prime Factorization Unique
  180.    wt: 6:   18 video Count Factors given Prime Factorization
  181.    wt: 6:   16 video Factors of 980 using prime
  182.    wt: 6:   15 video Factors of 20 using Prime Factorization
  183.    wt: 6:   14 video Factors of 24 Take II
  184.    wt: 6:   13 video Factors of 24 using prime
  185.    wt: 6:   11 Efficient Square Rule Use
  186.    wt: 6:   10 video Prime Factorization upto 23 squared
  187.    wt: 6:   9 video Prime Factorization upto 19 squared
  188.    wt: 6:   8 video Prime Factorization upto 19
  189.    wt: 6:   4 video Prime Factorization Introduction
  190.    wt: 6:   1 video how Products are bigger than factor
  191.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  192.    wt: 6:   Exact Arithmetic Wholes and Fractions
  193.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  194.    wt: 5:   arithmetic videos Real Player Format
  195.    wt: 5:   D Remainders Modulo 11 Pair Rule
  196.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  197.    wt: 5:   B Integer Long Division Multiple Choices
  198.    wt: 5:   A Associative Law Theorectical Note
  199.    wt: 5:   13 Subtraction with Additive Inverse
  200.    wt: 5:   12 Adding Integers More Examples
  201.    wt: 5:   10 Integer Multiplication Formulas
  202.    wt: 5:   9 Multiplying Integers
  203.    wt: 5:   7 Multiplication by Signs
  204.    wt: 5:   4 Adding Movements wiht opposite directions
  205.    wt: 5:   3 Adding Movements with same direction
  206.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  207.    wt: 5:   1 Integers as Coordinates
  208.    wt: 5:   Formula Evaluation how to show work
  209.    wt: 5:   Expression Evaluation how to show work
  210.    wt: 5:   The 20 Times Table
  211.    wt: 5:   The 12 Times Table Visually
  212.    wt: 5:   About folder contents
  213.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  214.    wt: 5:   1 From Number Recognition and Counting to Arithmetic B
  215.    wt: 5:   1 From Number Recognition and Counting to Arithmetic A
  216.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  217.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  218.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  219.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  220.    wt: 3:   4 Polar Coordinates to and from
  221.    wt: 3:   11 Signed Number Addition and Addition Properties
  222.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  223.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  224.    wt: 3:   1 Fractions with Finite Decimal Expansions
  225.    wt: 3:   B Decimal Comparison and Subtraction
  226.    wt: 3:   2 Combing Counts Addition Skills and Principles
  227.    wt: 3:   2 More and Less Than for Counts and Measures
  228.    wt: 3:   10 Real Number Lengths and Signs
  229.    wt: 3:   6 Unsigned Real Numbers
  230.    wt: 3:   1 Whole and Natural Numbers
  231.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  232.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  233.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  234.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  235.    wt: 3:   I. Logic and language skills
  236.    wt: 3:   How to Build Skills and Confidence
  237.    wt: 3:   7 Games and Activities for Instruction
  238.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  239.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  240.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  241.    wt: 2:   Ramblings Extrinsic numbers theory
  242.    wt: 2:   7 logic review and decimals an odd combination
  243.    wt: 2:   1 arithmetic with unsigned numbers
  244.    wt: 2:   2 Reading and Writing Skills
  245.    wt: 2:   Ages 12 to 14 Skills with take home value
  246.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  247.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  248.    wt: 2:   9 Summary Degrees to Radians and back
  249.    wt: 2:   1 Degrees and Radians Introduction
  250.    wt: 2:   Vector and Complex Number Applet
  251.    wt: 2:   Parallel Lines and Parallel Transversals
  252.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  253.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  254.    wt: 2:   Parallel Lines and Interior Angles
  255.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  256.    wt: 2:   C Straight Lines Slope from Coordinates
  257.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  258.    wt: 2:   14 cosine even and sine and tangent are odd
  259.    wt: 2:   21 Logarithms Powers and Exponentials
  260.    wt: 2:   20 N th Roots of Complex Numbers
  261.    wt: 2:   16 References and Originality Question
  262.    wt: 2:   13 Trig Formulas for dot and cross Products
  263.    wt: 2:   12 cis formulas for sine cosines and tangent
  264.    wt: 2:   11 sine and cosine double triple angle formulas
  265.    wt: 2:   9 The complex number valued trig function cis
  266.    wt: 2:   6 Field Properties of Complex Number
  267.    wt: 2:   2 Complex Numbers made easier we hope
  268.    wt: 2:   Appetizer A Complex Number Applet
  269.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  270.    wt: 2:   10 Midpoint of [a b] and [b a]
  271.    wt: 2:   7 Exercises to test skill and concept mastery
  272.    wt: 2:   1 Numerical view of lines and their equations
  273.    wt: 2:   What is and is not here
  274.    wt: 2:   7 Complex Numbers Appetizer
  275.    wt: 2:   6 Polar Multiplication and Rotation
  276.    wt: 2:   5 Cartesian Addition and Translation
  277.    wt: 2:   PS H Distributive Law For Complex Numbers
  278.    wt: 2:   16 Angles Subtended By Chords and Diameters
  279.    wt: 2:   6 Ruler and compass Angle Bisection
  280.    wt: 2:   1 Initial Concepts and Terms
  281.    wt: 2:   3 Lengths and Areas on Maps and Plans
  282.    wt: 2:   musings do not puiblish real numbers
  283.    wt: 2:   A Modular and Remainder Arithmetic
  284.    wt: 2:   A Signed Number Arithmetic Review
  285.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  286.    wt: 2:   22 Multiplication of Signed Numbers
  287.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  288.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  289.    wt: 2:   13 Arrows and Vectors in a Plane
  290.    wt: 2:   12 Real Numbers Line Signed Coordinates
  291.    wt: 2:   9 Division with Digits after Decimal Point
  292.    wt: 2:   8 Division and Mulplication of Compound Fractions
  293.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  294.    wt: 2:   4 Location of Point in Decimal Addition
  295.    wt: 2:   3 Location of Point in Decimal Multiplication
  296.    wt: 2:   2 Counting Digits in Decimal Multiplication
  297.    wt: 2:   C Three Decimal Subtraction Methods
  298.    wt: 2:   A Decimal Addition Columm Methods
  299.    wt: 2:   7 Decimals Multiplication Methods Examples
  300.    wt: 2:   6 Column Methods for Decimal Multiplication
  301.    wt: 2:   5 Distributive Law for Whole Numbers
  302.    wt: 2:   3 Multiplicative Counting Skills Principles
  303.    wt: 2:   1 The Counting Origins of Numbers
  304.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  305.    wt: 2:   4 Rates Ratios and Proporitionality
  306.    wt: 2:   6 Equations and Systems Equivalent or Implied
  307.    wt: 2:   4 Subtraction and Division Axioms
  308.    wt: 2:   2 Addition and Multiplication Axioms
  309.    wt: 2:   4 Comparison of Negative Numbers
  310.    wt: 2:   3 More and Less Than with Unlike Signs
  311.    wt: 2:   1 Real Numbers Comparison
  312.    wt: 2:   16 Real Numbers Comparison
  313.    wt: 2:   15 Real Number Division
  314.    wt: 2:   14 Real Number Multiplication
  315.    wt: 2:   13 Real Number Subtraction
  316.    wt: 2:   12 Real Number Additive Inverses or Negatives
  317.    wt: 2:   11 Real Number Addition
  318.    wt: 2:   8 Coordinates for Maps and Planes
  319.    wt: 2:   7 Real Numbers as Line Cordinates
  320.    wt: 2:   5 Rational Numbers More
  321.    wt: 2:   4 Rational Numbers
  322.    wt: 2:   3 Geometric Formulas and Function Notation
  323.    wt: 2:   1 Formulas Dependence and Function Notation
  324.    wt: 2:   5 Talking about Numbers and Quantities
  325.    wt: 2:   4 A Brief Story of numbers and algebra
  326.    wt: 2:   016 Numbering Occidental Calendar Days
  327.    wt: 2:   015 School and work day counting tables
  328.    wt: 2:   011 Division of Time Intervals By Numbers
  329.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  330.    wt: 2:   4 Mixing and Changing Units of Time
  331.    wt: 2:   3 Units and Lengths of Time
  332.    wt: 2:   2 Time and Date Matters in School
  333.    wt: 2:   1 Intro of Kids To Time Date Skills
  334.    wt: 2:   Example 1. Area Between x and x squared
  335.    wt: 2:   38 Formulas and derivatives for powers and roots
  336.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  337.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  338.    wt: 2:   9 Limits Continuity and Composition
  339.    wt: 2:   5 Jumps and absence of unlimited error control
  340.    wt: 2:   3 Decimal insights for limits continuity convergence
  341.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  342.    wt: 2:   PostScript For and Against Decimal Perspectives
  343.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  344.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  345.    wt: 2:   Appendix E. How To Study Mathematics and Why
  346.    wt: 2:   Appendix D. What to do in School and Why
  347.    wt: 2:   Chapter 31 Direct and Indirect Reason
  348.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  349.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  350.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  351.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  352.    wt: 2:   Chapter 20. Degrees and Radians
  353.    wt: 2:   Chapter 19. Functions and Sets
  354.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  355.    wt: 2:   Chapter 12. Shorthand Usage Guide
  356.    wt: 2:   Chapter 11. Why Shorthand
  357.    wt: 2:   Chapter 10 Describing and Changing Calculations
  358.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  359.    wt: 2:   Chapter 8 Three Skills For Algebra
  360.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  361.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  362.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  363.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  364.    wt: 2:   R Why Learn Mathematics Skills
  365.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  366.    wt: 2:   O On Learning Mathematics and Science
  367.    wt: 2:   L Skills with take home value
  368.    wt: 2:   N Improving Marks on Tests and Finals
  369.    wt: 2:   J. More on written work and showing skill
  370.    wt: 2:   H Jigsaw puzzles and problem solving
  371.    wt: 2:   G. Written work formats for developing and showing skill
  372.    wt: 2:   E. When and how to correct errors
  373.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  374.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  375.    wt: 1:   Appendix 1 primary and preschool mathematic
  376.    wt: 1:   G LAMP Introduction Problem Solving Skills
  377.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  378.    wt: 1:   Skills Chapter 5 Calculus
  379.    wt: 1:   Skills Chapter 4 Logic
  380.    wt: 1:   Skills Chapter 3 Algebra
  381.    wt: 1:   Skills Chapter 2 Geometry
  382.    wt: 1:   Skills Chapter 1 Arithmetic
  383.    wt: 1:   Skills Chapter 0 Introduction
  384.    wt: 1:   5 logarithms and exponentials etc
  385.    wt: 1:   2 arithmetic with signed numbers
  386.    wt: 1:   key notes and themes
  387.    wt: 1:   what should be learnt and When
  388.    wt: 1:   standards for course material
  389.    wt: 1:   Theory of Knowledge
  390.    wt: 1:   Education in mathematics science and technology
  391.    wt: 1:   Motivation and Context Problem
  392.    wt: 1:   fairness and inductive principles for instruction
  393.    wt: 1:   Home Tutoring and Home Schooling
  394.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  395.    wt: 1:   24 Standards For Skill Develoment Take II
  396.    wt: 1:   24 Standards For Skill Develoment
  397.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  398.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  399.    wt: 1:   17 Math Booklets for children and young teenagers
  400.    wt: 1:   14 Multiplication and Times Tables
  401.    wt: 1:   13 Addition and Addition Tables
  402.    wt: 1:   12 Goals and Objectives For Mathematics
  403.    wt: 1:   11 Help and Defend Your Child or Teens Education
  404.    wt: 1:   5 Patience Please for Yourself and Your Charges
  405.    wt: 1:   4 Learning Takes Time and Effort
  406.    wt: 1:   1 Speaking Skills
  407.    wt: 1:   Ages 12 to 14 Geometry
  408.    wt: 1:   Ages 12 to 14 Arithmetic
  409.    wt: 1:   Ages 10 to 12 Geometry
  410.    wt: 1:   Ages 10 to 12 Arithmetic
  411.    wt: 1:   Ages 9 to 10
  412.    wt: 1:   Ages 8 to 9
  413.    wt: 1:   Ages 7 to 8
  414.    wt: 1:   Ages 6 to 7
  415.    wt: 1:   Ages 4 plus to 5 plus
  416.    wt: 1:   Ages 3 plus to 4 plus
  417.    wt: 1:   26 Function definitions done and coming
  418.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  419.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  420.    wt: 1:   19 Horizontal line rule and method
  421.    wt: 1:   18 Vertical Line Rule and Method
  422.    wt: 1:   17 Function maxima minima and their location
  423.    wt: 1:   13 From one to one to many to one
  424.    wt: 1:   11 Function Domain Range Source and Targets
  425.    wt: 1:   9 Set theory term relation possible origins
  426.    wt: 1:   8 Set view of relations and functions
  427.    wt: 1:   6 Set Existence Formation and Notation
  428.    wt: 1:   4 Function notation in and beyond mathematics
  429.    wt: 1:   9 quadratics physical and further context
  430.    wt: 1:   11 Growth and Decay in Biology
  431.    wt: 1:   10 Exponential Growth and Decay Models
  432.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  433.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  434.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  435.    wt: 1:   16 cotangent function Definition Graph and Inverse
  436.    wt: 1:   15 cosecant function Definition Graph and Inverse
  437.    wt: 1:   14 secant function Definition Graph and Inverse
  438.    wt: 1:   13 cosecant function Definition Graph and Inverse
  439.    wt: 1:   8 Radian Measures of Common Angles
  440.    wt: 1:   7 Radian Measures in special Triangles
  441.    wt: 1:   6 Radian Measure to Degrees
  442.    wt: 1:   5 Degrees to Radian Measure
  443.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  444.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  445.    wt: 1:   2 Radian Measure Numerical Value of one degree
  446.    wt: 1:   A Global Time and Navigation
  447.    wt: 1:   15 Dot and Cross Product
  448.    wt: 1:   12 From Applied To Pure Mathematics
  449.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  450.    wt: 1:   1 Unsigned Coordinates
  451.    wt: 1:   4 graphing y=Asin(x c)
  452.    wt: 1:   3 graphing y=f(x c) plus K
  453.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  454.    wt: 1:   1 graphing y=f(x a)
  455.    wt: 1:   Triangle Angles Sum To 180 Degrees
  456.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  457.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  458.    wt: 1:   Straight Lines ASA Intersection Study More
  459.    wt: 1:   Straight Lines ASA Intersection Study
  460.    wt: 1:   Straight Lines Instersection Solving Equations
  461.    wt: 1:   Straight Lines Intersection of
  462.    wt: 1:   B Straight Line Slope Scaling Properties More
  463.    wt: 1:   A Straight Line Slope Scaling Properties
  464.    wt: 1:   14 Straight Lines Equations General Case
  465.    wt: 1:   12 Straight Lines Graphing mx plus b
  466.    wt: 1:   11 Straight Lines Graphing y=mx
  467.    wt: 1:   10 Straight Lines through Origin Equations More
  468.    wt: 1:   9 Straight Lines through Origin Equations
  469.    wt: 1:   8 Straight Lines Equation for vertical
  470.    wt: 1:   7 Tangent Function is odd on this domain
  471.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  472.    wt: 1:   5 Tangent Function Graph
  473.    wt: 1:   4 Tangent Function Properties
  474.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  475.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  476.    wt: 1:   1 Straight Lines Slope Concept
  477.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  478.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  479.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  480.    wt: 1:   29 secant cosecant and cotangent for acute angles
  481.    wt: 1:   27 Logarithmic use of products of sines and cosines
  482.    wt: 1:   26 Formulas for products of sines and cosines
  483.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  484.    wt: 1:   21 sine and cosine Half Angle Formulas
  485.    wt: 1:   20 sine and cosine Double Angle Formulas
  486.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  487.    wt: 1:   17E Trig Formulas for dot and cross Products
  488.    wt: 1:   17D cis formulas for sine cosines and tangent
  489.    wt: 1:   17C sine and cosine double triple angle formulas
  490.    wt: 1:   17A The complex number valued trig function cis
  491.    wt: 1:   10 Graphs of sines and cosines many periods
  492.    wt: 1:   9 Graphs of sine and cosine over one period
  493.    wt: 1:   7 period of sine and cosine
  494.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  495.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  496.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  497.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  498.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  499.    wt: 1:   19 N th Roots of Unity
  500.    wt: 1:   18 Sixth Roots of Unity
  501.    wt: 1:   17 Cube Roots of unity
  502.    wt: 1:   15 Pythagorean Theorem Converse
  503.    wt: 1:   14 Law of cosines
  504.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  505.    wt: 1:   8 Unit Circle Development of Trigonometry
  506.    wt: 1:   7 Second Way to Calculate Products
  507.    wt: 1:   5 An Easy Proof of the Distributive Law
  508.    wt: 1:   4 Multiplication Properties
  509.    wt: 1:   3 Addition Properties
  510.    wt: 1:   1 Rectangular Polar Coordinates Review
  511.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  512.    wt: 1:   3 Trigonometric Ratios sine and cosine
  513.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  514.    wt: 1:   8 Similarity of Triangles and Polygons
  515.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  516.    wt: 1:   Four Simple Exercises
  517.    wt: 1:   12 Links Lessons elsewhere
  518.    wt: 1:   11 A Partial Summary
  519.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  520.    wt: 1:   8 Mid Point Formula
  521.    wt: 1:   6 Intersection of lines by solving linear systems
  522.    wt: 1:   5 Algebraic View of Slopes
  523.    wt: 1:   4 Equations for lines three forms
  524.    wt: 1:   3 Slope product for perpendicular lines
  525.    wt: 1:   2 point slope equation for a line
  526.    wt: 1:   13 Pythagorean spatial distance formulas
  527.    wt: 1:   12 Spatial Coordinates
  528.    wt: 1:   11 Triangle Inequality
  529.    wt: 1:   10 Pythagorean plane distance formula
  530.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  531.    wt: 1:   8 Distance Between Points on a Line
  532.    wt: 1:   3 Rectangular Coordinates Review
  533.    wt: 1:   2 Cartesian Coordinates with signs
  534.    wt: 1:   1 Cartesian Coordinates sans signs
  535.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  536.    wt: 1:   PS G Rotation Distributes over Addition
  537.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  538.    wt: 1:   PS E Multiplication with Polar Coordinates
  539.    wt: 1:   PS D Addition with Cartesian Coordinates
  540.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  541.    wt: 1:   PS B Parallelogram Construction Methods
  542.    wt: 1:   PS A Kite Construction Methods
  543.    wt: 1:   21 Parallelograms
  544.    wt: 1:   19 Right Triangle Similarity
  545.    wt: 1:   18 Triangle Similarity Take 1
  546.    wt: 1:   17 Right Bisectors of Triangle Sides
  547.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  548.    wt: 1:   14 Parallel Lines Postulate
  549.    wt: 1:   13 Angle Side Angle Failure
  550.    wt: 1:   12 Side Angle Side Failure
  551.    wt: 1:   11 Triangle Construction Fails
  552.    wt: 1:   10 Dropping a perpendicular to line
  553.    wt: 1:   9 Construction of a right bisector
  554.    wt: 1:   8 Isoceles Triangles
  555.    wt: 1:   7 Angle Side Angle
  556.    wt: 1:   5 Side Angle Side
  557.    wt: 1:   4 Side Side Side
  558.    wt: 1:   3 Isometry of Triangles Congruence
  559.    wt: 1:   2 Correspondence between Triangles
  560.    wt: 1:   Short Course on Euclidean Geometry
  561.    wt: 1:   26 More Less Greater Than Comparison
  562.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  563.    wt: 1:   23 Distributive Law Two Derivations
  564.    wt: 1:   21 Addition of Multiples of a Single Vector
  565.    wt: 1:   19 Signed Multiples of Vectors
  566.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  567.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  568.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  569.    wt: 1:   15 Head to Tails in place Addition Associative
  570.    wt: 1:   E Long Division Methods more
  571.    wt: 1:   D Long Division Methods
  572.    wt: 1:   8 Column Multiplication Methods in General
  573.    wt: 1:   4 Commutative Law Groups Counting Form
  574.    wt: 1:   5 Proportionality in Equivalent Fractions
  575.    wt: 1:   3 Proportionality Examples
  576.    wt: 1:   2 Algebraic View
  577.    wt: 1:   1 What is Proportionality
  578.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  579.    wt: 1:   6 Compound Interest Forward and Backwards
  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:   3 Fractions
  587.    wt: 1:   2 Integers
  588.    wt: 1:   5 Independent versus Dependent Variables
  589.    wt: 1:   4 Changing Letters
  590.    wt: 1:   2 Computation Rules Evaluation
  591.    wt: 1:   3 GE III Equation Addition and Multiplication
  592.    wt: 1:   Skill Development Notes
  593.    wt: 1:   10 One Example
  594.    wt: 1:   9 Three Examples
  595.    wt: 1:   8 One Example
  596.    wt: 1:   7 Two Examples
  597.    wt: 1:   6 Three Examples
  598.    wt: 1:   5 Three Examples
  599.    wt: 1:   4 Two Examples
  600.    wt: 1:   3 Two Examples
  601.    wt: 1:   2 Three Examples
  602.    wt: 1:   1 Written work formats for developing and showing skill
  603.    wt: 1:   9 Sets in Probability and Statistics
  604.    wt: 1:   8 Sets of Numbers
  605.    wt: 1:   1 Three Skills For Algebra
  606.    wt: 1:   014 Counting Days with Calendars
  607.    wt: 1:   013 Travel Time Tables
  608.    wt: 1:   012 Division of Time Intervals by Time Intervals
  609.    wt: 1:   010 Repeated Addition of Time Intervals
  610.    wt: 1:   8 Addition of Time Intervals via subtotaling
  611.    wt: 1:   7 Addition of Time Intervals
  612.    wt: 1:   6 How long is a million seconds
  613.    wt: 1:   5 Conversion Arithmetic
  614.    wt: 1:   Example 2 volume of a cone
  615.    wt: 1:   Example 1 volume of a pyramid
  616.    wt: 1:   Volume of Solid by Cross Sections Lesson
  617.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  618.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  619.    wt: 1:   Example 4 with x function of y
  620.    wt: 1:   Example 3
  621.    wt: 1:   Example 2
  622.    wt: 1:   Example 1
  623.    wt: 1:   Area Between Curves Lesson Take 2
  624.    wt: 1:   Area Between Curves Lesson Take 1
  625.    wt: 1:   Summary
  626.    wt: 1:   17 Derivatives of quotients of sine and cosine
  627.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  628.    wt: 1:   15 sine and cosine derivatives 3rd step
  629.    wt: 1:   14 sine and cosine derivatives 2nd step
  630.    wt: 1:   13 sine and cosine derivatives 1st step
  631.    wt: 1:   6 Power rule from product rule
  632.    wt: 1:   11 Limits at infinity Three Examples
  633.    wt: 1:   10 Three one sided limits with infinite values
  634.    wt: 1:   8 Four Animated Examples
  635.    wt: 1:   7 Evaluation by immediate or delayed substitution
  636.    wt: 1:   6 Continuity at a point
  637.    wt: 1:   4 Numerical properties
  638.    wt: 1:   2 Algebraic codification
  639.    wt: 1:   1 Numerical introduction
  640.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  641.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  642.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  643.    wt: 1:   Chapter 22 Complex Numbers
  644.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  645.    wt: 1:   Chapter 12. Units and Slopes
  646.    wt: 1:   Chapter 10 Slopes and Units
  647.    wt: 1:   Chapter 7 Slopes and Velocity
  648.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  649.    wt: 1:   Chapter 2. Slopes and Ski Trails
  650.    wt: 1:   Postscript More on Better Performance
  651.    wt: 1:   Postscript For Better Performance
  652.    wt: 1:   Appendix C. How to Read
  653.    wt: 1:   Appendix B. How To Learn
  654.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  655.    wt: 1:   Chapter 30 Truth Tables
  656.    wt: 1:   Chapter 28 Occurrence Tables
  657.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  658.    wt: 1:   Chapter 25. Mathematical Induction Examples
  659.    wt: 1:   Chapter 23. Notation For Sums
  660.    wt: 1:   Chapter 21. Third Reading Guide
  661.    wt: 1:   Chapter 18. Rules for Algebra
  662.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  663.    wt: 1:   Chapter 16. Painless Theorem Proving
  664.    wt: 1:   Chapter 15. Solving Linear Equations
  665.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  666.    wt: 1:   Chapter 13. Second Reading Guide
  667.    wt: 1:   Postscript What is a Variable
  668.    wt: 1:   Solutions For Arithmetic Exercises
  669.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  670.    wt: 1:   Chapter 6 Change of Language
  671.    wt: 1:   Chapter 4 Longer Chains of Reason
  672.    wt: 1:   Chapter 3 Chains of Reason
  673.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  674.    wt: 1:   Foreword
  675.    wt: 1:   Chapter 2 For and Against Mathematics
  676.    wt: 1:   Postscript B More on Story Telling and Reason
  677.    wt: 1:   Chapter 24 Direct and Indirect Reason
  678.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  679.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  680.    wt: 1:   Chapter 18 Sense and Knowledge
  681.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  682.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  683.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  684.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  685.    wt: 1:   S Adding words to algebra
  686.    wt: 1:   N Mathematics Prepare for College Studies
  687.    wt: 1:   M Words to extend arithmetic
  688.    wt: 1:   H more Routine to non routine problem solving
  689.    wt: 1:   F. The student teacher tutor feedback loop
  690.    wt: 1:   D. Check work a must with a caution
  691.    wt: 1:   C. Domino effect of being careful
  692.    wt: 1:   B. Domino effect of errors
  693.    wt: 1:   A. Skill has to be seen to believed
  694.    wt: 1:   Chapter 8 Skipped Topics and Why
  695.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  696.    wt: 1:   Chapter 6 More Algebra and Geometry
  697.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  698.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  699.    wt: 1:   Helping the Blind in Logic and Mathematics
  700.    wt: 1:   More Algebra and Slope based Calculus Preview
  701.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  702.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  703.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  704.    wt: 1:   The Math Forum and Site Content
  705.    wt: 10:   1 More and Less Than for Counts and Measures
  706.    wt: 10:   8 What skills and work habits to require
  707.    wt: 10:   7 Adding decimal fractions using decimal point
  708.    wt: 10:   6. Counting and adding units and mixed units

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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 bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

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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