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: 7:   9 Combinatorics Trees Tables and Products/
  3.    wt: 6:   11 Squares and Square Roots/
  4.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  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

340 matches:

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

Extended Search

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