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

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

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

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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43 matches:

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

Web Page Search

337 matches:

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

Extended Search

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

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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