Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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. Reform: look before you leap - plan all in detail first.

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: 9:   6 Fractions and Ratios/
  2.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 7:   7 Arithmetic and Fractions with Units/
  4.    wt: 6:   11 Squares and Square Roots/
  5.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  6.    wt: 6:   9 Combinatorics Trees Tables and Products/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   C Decimal Multiplication Methods/
  11.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 6:   A Decimal Counting and Adding Methods/
  13.    wt: 5:   5 Integers/
  14.    wt: 5:   D Decimal Long Division 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:   Step 1 Stick diagram and fractions/
  19.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  20.    wt: 1:   Mathematics Skills Year by Year/
  21.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 1:   12 Function Translating and Rescaling/
  23.    wt: 1:   11 Parallel Straight Lines and Transversals/
  24.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  26.    wt: 1:   7 Complex Numbers/
  27.    wt: 1:   6 Trigonometry first steps/
  28.    wt: 1:   4 Lines and Slopes Take 1/
  29.    wt: 1:   3 Cartesian and Polar Coordinates/
  30.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  31.    wt: 1:   B Real Numbers Extrinsic Development/
  32.    wt: 1:   A Origins of Counting and Figuring Methods/
  33.    wt: 1:   9 Proportionality Backwards and Forwards/
  34.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  35.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  36.    wt: 1:   5 Real Numbers/
  37.    wt: 1:   4 Computation Rules and Function Notation/
  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

379 matches:

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

Extended Search

715 matches:

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

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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