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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44 matches:

  1.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  2.    wt: 6:   11 Squares and Square Roots/
  3.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  4.    wt: 6:   9 Combinatorics Trees Tables and Products/
  5.    wt: 6:   8 Arithmetic with Signed Numbers/
  6.    wt: 6:   7 Arithmetic and Fractions with Units/
  7.    wt: 6:   6 Fractions and Ratios/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  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:   Step 1 Stick diagram and fractions/
  38.    wt: 1:   Time Date Matters/
  39.    wt: 1:   Skills with take home value/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Volume 2 Three Skills For Algebra/
  43.    wt: 1:   Work and Study Tips/
  44.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

355 matches:

  1.    wt: 4:   11 Signed Number Addition and Addition Properties
  2.    wt: 3:   13 Addition and Addition Tables
  3.    wt: 3:   2 Combing Counts Addition Skills and Principles
  4.    wt: 3:   1 Whole and Natural Numbers
  5.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  6.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  7.    wt: 2:   Ramblings Extrinsic numbers theory
  8.    wt: 2:   2 Reading and Writing Skills
  9.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  10.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  11.    wt: 2:   Vector and Complex Number Applet
  12.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  13.    wt: 2:   14 cosine even and sine and tangent are odd
  14.    wt: 2:   5 Cartesian Addition and Translation
  15.    wt: 2:   3 Lengths and Areas on Maps and Plans
  16.    wt: 2:   2 Addition and Multiplication Axioms
  17.    wt: 2:   2 More and Less Than for Counts and Measures
  18.    wt: 2:   11 Real Number Addition
  19.    wt: 2:   10 Real Number Lengths and Signs
  20.    wt: 2:   3 GE III Equation Addition and Multiplication
  21.    wt: 2:   5 Talking about Numbers and Quantities
  22.    wt: 2:   4 A Brief Story of numbers and algebra
  23.    wt: 2:   1 More and Less Than for Counts and Measures
  24.    wt: 2:   11 What are real lengths and numbers
  25.    wt: 2:   5 lengths and signs of numbers
  26.    wt: 2:   2 signed and unsigned numbers as coordinates
  27.    wt: 2:   3 Multiplying Units and Numbers
  28.    wt: 2:   1 Addition and Subtraction with Units
  29.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  30.    wt: 2:   9 Improper Fractions and Mixed Numbers
  31.    wt: 2:   6 Multiplication by Natural Numbers
  32.    wt: 2:   8 What skills and work habits to require
  33.    wt: 2:   6. Counting and adding units and mixed units
  34.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  35.    wt: 2:   Quick history of numbers and algebra
  36.    wt: 2:   38 Formulas and derivatives for powers and roots
  37.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  38.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  39.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  40.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  41.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  42.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  43.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  44.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  45.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  46.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  47.    wt: 2:   I. Logic and language skills
  48.    wt: 2:   How to Build Skills and Confidence
  49.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  50.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  51.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  52.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  53.    wt: 1:   Appendix 1 primary and preschool mathematic
  54.    wt: 1:   G LAMP Introduction Problem Solving Skills
  55.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  56.    wt: 1:   Skills Chapter 5 Calculus
  57.    wt: 1:   Skills Chapter 4 Logic
  58.    wt: 1:   Skills Chapter 3 Algebra
  59.    wt: 1:   Skills Chapter 2 Geometry
  60.    wt: 1:   Skills Chapter 1 Arithmetic
  61.    wt: 1:   Skills Chapter 0 Introduction
  62.    wt: 1:   7 logic review and decimals an odd combination
  63.    wt: 1:   5 logarithms and exponentials etc
  64.    wt: 1:   2 arithmetic with signed numbers
  65.    wt: 1:   1 arithmetic with unsigned numbers
  66.    wt: 1:   key notes and themes
  67.    wt: 1:   what should be learnt and When
  68.    wt: 1:   standards for course material
  69.    wt: 1:   Theory of Knowledge
  70.    wt: 1:   Education in mathematics science and technology
  71.    wt: 1:   Motivation and Context Problem
  72.    wt: 1:   fairness and inductive principles for instruction
  73.    wt: 1:   Home Tutoring and Home Schooling
  74.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  75.    wt: 1:   24 Standards For Skill Develoment Take II
  76.    wt: 1:   24 Standards For Skill Develoment
  77.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  78.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  79.    wt: 1:   17 Math Booklets for children and young teenagers
  80.    wt: 1:   14 Multiplication and Times Tables
  81.    wt: 1:   12 Goals and Objectives For Mathematics
  82.    wt: 1:   11 Help and Defend Your Child or Teens Education
  83.    wt: 1:   5 Patience Please for Yourself and Your Charges
  84.    wt: 1:   4 Learning Takes Time and Effort
  85.    wt: 1:   1 Speaking Skills
  86.    wt: 1:   Ages 12 to 14 Skills with take home value
  87.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  88.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  89.    wt: 1:   26 Function definitions done and coming
  90.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  91.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  92.    wt: 1:   19 Horizontal line rule and method
  93.    wt: 1:   18 Vertical Line Rule and Method
  94.    wt: 1:   17 Function maxima minima and their location
  95.    wt: 1:   11 Function Domain Range Source and Targets
  96.    wt: 1:   9 Set theory term relation possible origins
  97.    wt: 1:   8 Set view of relations and functions
  98.    wt: 1:   6 Set Existence Formation and Notation
  99.    wt: 1:   4 Function notation in and beyond mathematics
  100.    wt: 1:   9 quadratics physical and further context
  101.    wt: 1:   11 Growth and Decay in Biology
  102.    wt: 1:   10 Exponential Growth and Decay Models
  103.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  104.    wt: 1:   5 Natural Logarithm Calculator Exercises
  105.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  106.    wt: 1:   3 Polynomials Multiplication Addition
  107.    wt: 1:   16 cotangent function Definition Graph and Inverse
  108.    wt: 1:   15 cosecant function Definition Graph and Inverse
  109.    wt: 1:   14 secant function Definition Graph and Inverse
  110.    wt: 1:   13 cosecant function Definition Graph and Inverse
  111.    wt: 1:   9 Summary Degrees to Radians and back
  112.    wt: 1:   1 Degrees and Radians Introduction
  113.    wt: 1:   A Global Time and Navigation
  114.    wt: 1:   15 Dot and Cross Product
  115.    wt: 1:   10 Parallelogram Addition Method
  116.    wt: 1:   5 Head To Tail Arrow Addition
  117.    wt: 1:   Parallel Lines and Parallel Transversals
  118.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  119.    wt: 1:   Parallel Lines and Interior Angles
  120.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  121.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  122.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  123.    wt: 1:   29 secant cosecant and cotangent for acute angles
  124.    wt: 1:   27 Logarithmic use of products of sines and cosines
  125.    wt: 1:   26 Formulas for products of sines and cosines
  126.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  127.    wt: 1:   21 sine and cosine Half Angle Formulas
  128.    wt: 1:   20 sine and cosine Double Angle Formulas
  129.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  130.    wt: 1:   17E Trig Formulas for dot and cross Products
  131.    wt: 1:   17D cis formulas for sine cosines and tangent
  132.    wt: 1:   17C sine and cosine double triple angle formulas
  133.    wt: 1:   17A The complex number valued trig function cis
  134.    wt: 1:   10 Graphs of sines and cosines many periods
  135.    wt: 1:   9 Graphs of sine and cosine over one period
  136.    wt: 1:   7 period of sine and cosine
  137.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  138.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  139.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  140.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  141.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  142.    wt: 1:   21 Logarithms Powers and Exponentials
  143.    wt: 1:   20 N th Roots of Complex Numbers
  144.    wt: 1:   16 References and Originality Question
  145.    wt: 1:   13 Trig Formulas for dot and cross Products
  146.    wt: 1:   12 cis formulas for sine cosines and tangent
  147.    wt: 1:   11 sine and cosine double triple angle formulas
  148.    wt: 1:   9 The complex number valued trig function cis
  149.    wt: 1:   6 Field Properties of Complex Number
  150.    wt: 1:   3 Addition Properties
  151.    wt: 1:   2 Complex Numbers made easier we hope
  152.    wt: 1:   Appetizer A Complex Number Applet
  153.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  154.    wt: 1:   3 Trigonometric Ratios sine and cosine
  155.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  156.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  157.    wt: 1:   8 Similarity of Triangles and Polygons
  158.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  159.    wt: 1:   10 Midpoint of [a b] and [b a]
  160.    wt: 1:   7 Exercises to test skill and concept mastery
  161.    wt: 1:   1 Numerical view of lines and their equations
  162.    wt: 1:   What is and is not here
  163.    wt: 1:   7 Complex Numbers Appetizer
  164.    wt: 1:   6 Polar Multiplication and Rotation
  165.    wt: 1:   4 Polar Coordinates to and from
  166.    wt: 1:   PS H Distributive Law For Complex Numbers
  167.    wt: 1:   PS G Rotation Distributes over Addition
  168.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  169.    wt: 1:   PS D Addition with Cartesian Coordinates
  170.    wt: 1:   16 Angles Subtended By Chords and Diameters
  171.    wt: 1:   6 Ruler and compass Angle Bisection
  172.    wt: 1:   1 Initial Concepts and Terms
  173.    wt: 1:   musings do not puiblish real numbers
  174.    wt: 1:   A Modular and Remainder Arithmetic
  175.    wt: 1:   A Signed Number Arithmetic Review
  176.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  177.    wt: 1:   22 Multiplication of Signed Numbers
  178.    wt: 1:   21 Addition of Multiples of a Single Vector
  179.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  180.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  181.    wt: 1:   15 Head to Tails in place Addition Associative
  182.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  183.    wt: 1:   13 Arrows and Vectors in a Plane
  184.    wt: 1:   12 Real Numbers Line Signed Coordinates
  185.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  186.    wt: 1:   8 Division and Mulplication of Compound Fractions
  187.    wt: 1:   4 Location of Point in Decimal Addition
  188.    wt: 1:   B Decimal Comparison and Subtraction
  189.    wt: 1:   A Decimal Addition Columm Methods
  190.    wt: 1:   5 Distributive Law for Whole Numbers
  191.    wt: 1:   3 Multiplicative Counting Skills Principles
  192.    wt: 1:   1 The Counting Origins of Numbers
  193.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  194.    wt: 1:   4 Rates Ratios and Proporitionality
  195.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  196.    wt: 1:   6 Compound Interest Forward and Backwards
  197.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  198.    wt: 1:   6 Equations and Systems Equivalent or Implied
  199.    wt: 1:   4 Subtraction and Division Axioms
  200.    wt: 1:   4 Comparison of Negative Numbers
  201.    wt: 1:   3 More and Less Than with Unlike Signs
  202.    wt: 1:   1 Real Numbers Comparison
  203.    wt: 1:   16 Real Numbers Comparison
  204.    wt: 1:   15 Real Number Division
  205.    wt: 1:   14 Real Number Multiplication
  206.    wt: 1:   13 Real Number Subtraction
  207.    wt: 1:   12 Real Number Additive Inverses or Negatives
  208.    wt: 1:   8 Coordinates for Maps and Planes
  209.    wt: 1:   7 Real Numbers as Line Cordinates
  210.    wt: 1:   6 Unsigned Real Numbers
  211.    wt: 1:   5 Rational Numbers More
  212.    wt: 1:   4 Rational Numbers
  213.    wt: 1:   3 Geometric Formulas and Function Notation
  214.    wt: 1:   1 Formulas Dependence and Function Notation
  215.    wt: 1:   1 Written work formats for developing and showing skill
  216.    wt: 1:   9 Sets in Probability and Statistics
  217.    wt: 1:   8 Sets of Numbers
  218.    wt: 1:   1 Three Skills For Algebra
  219.    wt: 1:   3 Comparison of Negative Numbers
  220.    wt: 1:   2 More and Less Than with Unlike Signs
  221.    wt: 1:   1 Squares and Square Roots Introduction
  222.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  223.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  224.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  225.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  226.    wt: 1:   7 GCD and LCM from prime factorization
  227.    wt: 1:   4 LCM of 8 and 10 via Prime
  228.    wt: 1:   3 Counting with Tables and Trees II
  229.    wt: 1:   2 Counting with Tables and Trees I
  230.    wt: 1:   1 Counting and Counting Methods I
  231.    wt: 1:   10 dividing signed numbers
  232.    wt: 1:   9 subtracting signed numbers
  233.    wt: 1:   8 multiplying signed numbers
  234.    wt: 1:   7 negative and additive inverse
  235.    wt: 1:   6 adding signed numbers
  236.    wt: 1:   3 signed coordinates for maps and planes
  237.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  238.    wt: 1:   2 Equality and Units
  239.    wt: 1:   B Fractions and Two Term Ratios
  240.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  241.    wt: 1:   21 Reciprocals for Fractions and Wholes
  242.    wt: 1:   17 Efficient Ways to Add and Subtract
  243.    wt: 1:   16 Addition Subtraction Comparision Compared
  244.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  245.    wt: 1:   14 Adding and Subtracting with Like Denominators
  246.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  247.    wt: 1:   6 Multiplication of Mixed Numbers
  248.    wt: 1:   11 Adding Integers Formulas and Examples
  249.    wt: 1:   8 Multiplication by Signed Numbers Integers
  250.    wt: 1:   5 Zero Movement and Additive Inverses
  251.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  252.    wt: 1:   17 Identify and Count Factors using Primes
  253.    wt: 1:   12 LCD GCD and LCM using Primes
  254.    wt: 1:   7 Calculator Usage Notes and Cautions
  255.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  256.    wt: 1:   5 Prime Factorization and a Square Rule
  257.    wt: 1:   3 video Primes and Composites from 9 times table
  258.    wt: 1:   2 Prime and Composites less than 16
  259.    wt: 1:   Division with Counts and Length
  260.    wt: 1:   Long Division forwards and backwards Example 3
  261.    wt: 1:   Long Division forwards and backwards Example 2
  262.    wt: 1:   Long Division forwards and backwards Example 1
  263.    wt: 1:   10 Division by Five Long and Short Ways
  264.    wt: 1:   4 Two and Three Digit Multipliers
  265.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  266.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  267.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  268.    wt: 1:   1. Explaining Addition Table
  269.    wt: 1:   11 Place Value SI Standard International way
  270.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  271.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  272.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  273.    wt: 1:   Exact Arithmetic Wholes and Fractions
  274.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  275.    wt: 1:   016 Numbering Occidental Calendar Days
  276.    wt: 1:   015 School and work day counting tables
  277.    wt: 1:   011 Division of Time Intervals By Numbers
  278.    wt: 1:   010 Repeated Addition of Time Intervals
  279.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  280.    wt: 1:   8 Addition of Time Intervals via subtotaling
  281.    wt: 1:   7 Addition of Time Intervals
  282.    wt: 1:   4 Mixing and Changing Units of Time
  283.    wt: 1:   3 Units and Lengths of Time
  284.    wt: 1:   2 Time and Date Matters in School
  285.    wt: 1:   1 Intro of Kids To Time Date Skills
  286.    wt: 1:   Example 1. Area Between x and x squared
  287.    wt: 1:   17 Derivatives of quotients of sine and cosine
  288.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  289.    wt: 1:   15 sine and cosine derivatives 3rd step
  290.    wt: 1:   14 sine and cosine derivatives 2nd step
  291.    wt: 1:   13 sine and cosine derivatives 1st step
  292.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  293.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  294.    wt: 1:   9 Limits Continuity and Composition
  295.    wt: 1:   5 Jumps and absence of unlimited error control
  296.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  297.    wt: 1:   PostScript For and Against Decimal Perspectives
  298.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  299.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  300.    wt: 1:   Chapter 22 Complex Numbers
  301.    wt: 1:   Chapter 21 Arrow Addition
  302.    wt: 1:   Chapter 12. Units and Slopes
  303.    wt: 1:   Chapter 10 Slopes and Units
  304.    wt: 1:   Chapter 7 Slopes and Velocity
  305.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  306.    wt: 1:   Chapter 2. Slopes and Ski Trails
  307.    wt: 1:   Appendix E. How To Study Mathematics and Why
  308.    wt: 1:   Appendix D. What to do in School and Why
  309.    wt: 1:   Chapter 31 Direct and Indirect Reason
  310.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  311.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  312.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  313.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  314.    wt: 1:   Chapter 20. Degrees and Radians
  315.    wt: 1:   Chapter 19. Functions and Sets
  316.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  317.    wt: 1:   Chapter 12. Shorthand Usage Guide
  318.    wt: 1:   Chapter 11. Why Shorthand
  319.    wt: 1:   Chapter 10 Describing and Changing Calculations
  320.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  321.    wt: 1:   Chapter 8 Three Skills For Algebra
  322.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  323.    wt: 1:   Chapter 2 For and Against Mathematics
  324.    wt: 1:   Postscript B More on Story Telling and Reason
  325.    wt: 1:   Chapter 24 Direct and Indirect Reason
  326.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  327.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  328.    wt: 1:   Chapter 18 Sense and Knowledge
  329.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  330.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  331.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  332.    wt: 1:   R Why Learn Mathematics Skills
  333.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  334.    wt: 1:   O On Learning Mathematics and Science
  335.    wt: 1:   L Skills with take home value
  336.    wt: 1:   N Improving Marks on Tests and Finals
  337.    wt: 1:   J. More on written work and showing skill
  338.    wt: 1:   H Jigsaw puzzles and problem solving
  339.    wt: 1:   G. Written work formats for developing and showing skill
  340.    wt: 1:   E. When and how to correct errors
  341.    wt: 1:   Chapter 8 Skipped Topics and Why
  342.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  343.    wt: 1:   Chapter 6 More Algebra and Geometry
  344.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  345.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  346.    wt: 1:   7 Games and Activities for Instruction
  347.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  348.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  349.    wt: 1:   Helping the Blind in Logic and Mathematics
  350.    wt: 1:   More Algebra and Slope based Calculus Preview
  351.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  352.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  353.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  354.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  355.    wt: 1:   The Math Forum and Site Content

Extended Search

713 matches:

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

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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