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: 7:   12 Comparison of Unsigned and Signed Numbers/
  2.    wt: 7:   7 Arithmetic and Fractions with Units/
  3.    wt: 7:   6 Fractions and Ratios/
  4.    wt: 7:   B Decimal Comparing and Subtracting Methods/
  5.    wt: 7:   A Decimal Counting and Adding 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:   4 Remainder Arithmetic and Divisibility/
  11.    wt: 6:   3 Prime Factorization Skills/
  12.    wt: 6:   D Decimal Long Division Methods/
  13.    wt: 6:   C Decimal Multiplication Methods/
  14.    wt: 6:   2 Arithmetic with Decimals/
  15.    wt: 5:   5 Integers/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   Step 1 Stick diagram and fractions/
  19.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  20.    wt: 1:   Mathematics Skills Year by Year/
  21.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 1:   12 Function Translating and Rescaling/
  23.    wt: 1:   11 Parallel Straight Lines and Transversals/
  24.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  26.    wt: 1:   7 Complex Numbers/
  27.    wt: 1:   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

373 matches:

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

Extended Search

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

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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