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:   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:   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

380 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   11 Signed Number Addition and Addition Properties
  3.    wt: 3:   13 Addition and Addition Tables
  4.    wt: 3:   2 Combing Counts Addition Skills and Principles
  5.    wt: 3:   B Fractions and Two Term Ratios
  6.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  7.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  8.    wt: 3:   14 Adding and Subtracting with Like Denominators
  9.    wt: 3:   9 Improper Fractions and Mixed Numbers
  10.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  11.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  12.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  13.    wt: 2:   Ramblings Extrinsic numbers theory
  14.    wt: 2:   2 Reading and Writing Skills
  15.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  16.    wt: 2:   Vector and Complex Number Applet
  17.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  18.    wt: 2:   14 cosine even and sine and tangent are odd
  19.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  20.    wt: 2:   3 Trigonometric Ratios sine and cosine
  21.    wt: 2:   5 Cartesian Addition and Translation
  22.    wt: 2:   3 Lengths and Areas on Maps and Plans
  23.    wt: 2:   8 Division and Mulplication of Compound Fractions
  24.    wt: 2:   4 Rates Ratios and Proporitionality
  25.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  26.    wt: 2:   2 Addition and Multiplication Axioms
  27.    wt: 2:   3 More and Less Than with Unlike Signs
  28.    wt: 2:   2 More and Less Than for Counts and Measures
  29.    wt: 2:   11 Real Number Addition
  30.    wt: 2:   10 Real Number Lengths and Signs
  31.    wt: 2:   1 Whole and Natural Numbers
  32.    wt: 2:   3 GE III Equation Addition and Multiplication
  33.    wt: 2:   5 Talking about Numbers and Quantities
  34.    wt: 2:   4 A Brief Story of numbers and algebra
  35.    wt: 2:   2 More and Less Than with Unlike Signs
  36.    wt: 2:   1 More and Less Than for Counts and Measures
  37.    wt: 2:   11 What are real lengths and numbers
  38.    wt: 2:   5 lengths and signs of numbers
  39.    wt: 2:   2 signed and unsigned numbers as coordinates
  40.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  41.    wt: 2:   3 Multiplying Units and Numbers
  42.    wt: 2:   1 Addition and Subtraction with Units
  43.    wt: 2:   21 Reciprocals for Fractions and Wholes
  44.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  45.    wt: 2:   8 What skills and work habits to require
  46.    wt: 2:   6. Counting and adding units and mixed units
  47.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  48.    wt: 2:   Quick history of numbers and algebra
  49.    wt: 2:   Exact Arithmetic Wholes and Fractions
  50.    wt: 2:   38 Formulas and derivatives for powers and roots
  51.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  52.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  53.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  54.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  55.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  56.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  57.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  58.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  59.    wt: 2:   I. Logic and language skills
  60.    wt: 2:   How to Build Skills and Confidence
  61.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  62.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  63.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  64.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  65.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  66.    wt: 1:   Appendix 1 primary and preschool mathematic
  67.    wt: 1:   G LAMP Introduction Problem Solving Skills
  68.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  69.    wt: 1:   Skills Chapter 5 Calculus
  70.    wt: 1:   Skills Chapter 4 Logic
  71.    wt: 1:   Skills Chapter 3 Algebra
  72.    wt: 1:   Skills Chapter 2 Geometry
  73.    wt: 1:   Skills Chapter 1 Arithmetic
  74.    wt: 1:   Skills Chapter 0 Introduction
  75.    wt: 1:   7 logic review and decimals an odd combination
  76.    wt: 1:   5 logarithms and exponentials etc
  77.    wt: 1:   2 arithmetic with signed numbers
  78.    wt: 1:   1 arithmetic with unsigned numbers
  79.    wt: 1:   key notes and themes
  80.    wt: 1:   what should be learnt and When
  81.    wt: 1:   standards for course material
  82.    wt: 1:   Theory of Knowledge
  83.    wt: 1:   Education in mathematics science and technology
  84.    wt: 1:   Motivation and Context Problem
  85.    wt: 1:   fairness and inductive principles for instruction
  86.    wt: 1:   3 Like resistors in parallel
  87.    wt: 1:   2 Unlike resistors in parallel01
  88.    wt: 1:   1 Like resistors in series
  89.    wt: 1:   F Unlike Resistors in Series
  90.    wt: 1:   Home Tutoring and Home Schooling
  91.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  92.    wt: 1:   24 Standards For Skill Develoment Take II
  93.    wt: 1:   24 Standards For Skill Develoment
  94.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  95.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  96.    wt: 1:   17 Math Booklets for children and young teenagers
  97.    wt: 1:   14 Multiplication and Times Tables
  98.    wt: 1:   12 Goals and Objectives For Mathematics
  99.    wt: 1:   11 Help and Defend Your Child or Teens Education
  100.    wt: 1:   5 Patience Please for Yourself and Your Charges
  101.    wt: 1:   4 Learning Takes Time and Effort
  102.    wt: 1:   1 Speaking Skills
  103.    wt: 1:   Ages 12 to 14 Skills with take home value
  104.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  105.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  106.    wt: 1:   26 Function definitions done and coming
  107.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  108.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  109.    wt: 1:   19 Horizontal line rule and method
  110.    wt: 1:   18 Vertical Line Rule and Method
  111.    wt: 1:   17 Function maxima minima and their location
  112.    wt: 1:   11 Function Domain Range Source and Targets
  113.    wt: 1:   9 Set theory term relation possible origins
  114.    wt: 1:   8 Set view of relations and functions
  115.    wt: 1:   6 Set Existence Formation and Notation
  116.    wt: 1:   4 Function notation in and beyond mathematics
  117.    wt: 1:   9 quadratics physical and further context
  118.    wt: 1:   11 Growth and Decay in Biology
  119.    wt: 1:   10 Exponential Growth and Decay Models
  120.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  121.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  122.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  123.    wt: 1:   3 Polynomials Multiplication Addition
  124.    wt: 1:   16 cotangent function Definition Graph and Inverse
  125.    wt: 1:   15 cosecant function Definition Graph and Inverse
  126.    wt: 1:   14 secant function Definition Graph and Inverse
  127.    wt: 1:   13 cosecant function Definition Graph and Inverse
  128.    wt: 1:   9 Summary Degrees to Radians and back
  129.    wt: 1:   1 Degrees and Radians Introduction
  130.    wt: 1:   A Global Time and Navigation
  131.    wt: 1:   15 Dot and Cross Product
  132.    wt: 1:   10 Parallelogram Addition Method
  133.    wt: 1:   5 Head To Tail Arrow Addition
  134.    wt: 1:   Parallel Lines and Parallel Transversals
  135.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  136.    wt: 1:   Parallel Lines and Interior Angles
  137.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  138.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  139.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  140.    wt: 1:   29 secant cosecant and cotangent for acute angles
  141.    wt: 1:   27 Logarithmic use of products of sines and cosines
  142.    wt: 1:   26 Formulas for products of sines and cosines
  143.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  144.    wt: 1:   21 sine and cosine Half Angle Formulas
  145.    wt: 1:   20 sine and cosine Double Angle Formulas
  146.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  147.    wt: 1:   17E Trig Formulas for dot and cross Products
  148.    wt: 1:   17D cis formulas for sine cosines and tangent
  149.    wt: 1:   17C sine and cosine double triple angle formulas
  150.    wt: 1:   17A The complex number valued trig function cis
  151.    wt: 1:   10 Graphs of sines and cosines many periods
  152.    wt: 1:   9 Graphs of sine and cosine over one period
  153.    wt: 1:   7 period of sine and cosine
  154.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  155.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  156.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  157.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  158.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  159.    wt: 1:   21 Logarithms Powers and Exponentials
  160.    wt: 1:   20 N th Roots of Complex Numbers
  161.    wt: 1:   16 References and Originality Question
  162.    wt: 1:   13 Trig Formulas for dot and cross Products
  163.    wt: 1:   12 cis formulas for sine cosines and tangent
  164.    wt: 1:   11 sine and cosine double triple angle formulas
  165.    wt: 1:   9 The complex number valued trig function cis
  166.    wt: 1:   6 Field Properties of Complex Number
  167.    wt: 1:   3 Addition Properties
  168.    wt: 1:   2 Complex Numbers made easier we hope
  169.    wt: 1:   Appetizer A Complex Number Applet
  170.    wt: 1:   7 Trignometric Ratios Unit Circle
  171.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  172.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  173.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  174.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  175.    wt: 1:   8 Similarity of Triangles and Polygons
  176.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  177.    wt: 1:   1 Early Concept of Like or Similar Shapes
  178.    wt: 1:   10 Midpoint of [a b] and [b a]
  179.    wt: 1:   7 Exercises to test skill and concept mastery
  180.    wt: 1:   1 Numerical view of lines and their equations
  181.    wt: 1:   What is and is not here
  182.    wt: 1:   7 Complex Numbers Appetizer
  183.    wt: 1:   6 Polar Multiplication and Rotation
  184.    wt: 1:   4 Polar Coordinates to and from
  185.    wt: 1:   PS H Distributive Law For Complex Numbers
  186.    wt: 1:   PS G Rotation Distributes over Addition
  187.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  188.    wt: 1:   PS D Addition with Cartesian Coordinates
  189.    wt: 1:   16 Angles Subtended By Chords and Diameters
  190.    wt: 1:   6 Ruler and compass Angle Bisection
  191.    wt: 1:   1 Initial Concepts and Terms
  192.    wt: 1:   musings do not puiblish real numbers
  193.    wt: 1:   A Modular and Remainder Arithmetic
  194.    wt: 1:   A Signed Number Arithmetic Review
  195.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  196.    wt: 1:   22 Multiplication of Signed Numbers
  197.    wt: 1:   21 Addition of Multiples of a Single Vector
  198.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  199.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  200.    wt: 1:   15 Head to Tails in place Addition Associative
  201.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  202.    wt: 1:   13 Arrows and Vectors in a Plane
  203.    wt: 1:   12 Real Numbers Line Signed Coordinates
  204.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  205.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  206.    wt: 1:   4 Location of Point in Decimal Addition
  207.    wt: 1:   1 Fractions with Finite Decimal Expansions
  208.    wt: 1:   B Decimal Comparison and Subtraction
  209.    wt: 1:   A Decimal Addition Columm Methods
  210.    wt: 1:   5 Distributive Law for Whole Numbers
  211.    wt: 1:   3 Multiplicative Counting Skills Principles
  212.    wt: 1:   1 The Counting Origins of Numbers
  213.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  214.    wt: 1:   5 Proportionality in Equivalent Fractions
  215.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  216.    wt: 1:   6 Compound Interest Forward and Backwards
  217.    wt: 1:   6 Equations and Systems Equivalent or Implied
  218.    wt: 1:   4 Subtraction and Division Axioms
  219.    wt: 1:   4 Comparison of Negative Numbers
  220.    wt: 1:   1 Real Numbers Comparison
  221.    wt: 1:   16 Real Numbers Comparison
  222.    wt: 1:   15 Real Number Division
  223.    wt: 1:   14 Real Number Multiplication
  224.    wt: 1:   13 Real Number Subtraction
  225.    wt: 1:   12 Real Number Additive Inverses or Negatives
  226.    wt: 1:   8 Coordinates for Maps and Planes
  227.    wt: 1:   7 Real Numbers as Line Cordinates
  228.    wt: 1:   6 Unsigned Real Numbers
  229.    wt: 1:   5 Rational Numbers More
  230.    wt: 1:   4 Rational Numbers
  231.    wt: 1:   3 Fractions
  232.    wt: 1:   3 Geometric Formulas and Function Notation
  233.    wt: 1:   1 Formulas Dependence and Function Notation
  234.    wt: 1:   1 Written work formats for developing and showing skill
  235.    wt: 1:   9 Sets in Probability and Statistics
  236.    wt: 1:   8 Sets of Numbers
  237.    wt: 1:   1 Three Skills For Algebra
  238.    wt: 1:   3 Comparison of Negative Numbers
  239.    wt: 1:   1 Squares and Square Roots Introduction
  240.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  241.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  242.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  243.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  244.    wt: 1:   7 GCD and LCM from prime factorization
  245.    wt: 1:   4 LCM of 8 and 10 via Prime
  246.    wt: 1:   3 Counting with Tables and Trees II
  247.    wt: 1:   2 Counting with Tables and Trees I
  248.    wt: 1:   1 Counting and Counting Methods I
  249.    wt: 1:   10 dividing signed numbers
  250.    wt: 1:   9 subtracting signed numbers
  251.    wt: 1:   8 multiplying signed numbers
  252.    wt: 1:   7 negative and additive inverse
  253.    wt: 1:   6 adding signed numbers
  254.    wt: 1:   3 signed coordinates for maps and planes
  255.    wt: 1:   6 Simplification of Fractions with Units
  256.    wt: 1:   4 Fractions with Units
  257.    wt: 1:   2 Equality and Units
  258.    wt: 1:   D Three Term Ratios
  259.    wt: 1:   22 Complex Compound Fractions
  260.    wt: 1:   20 Dividing Fractions the Why
  261.    wt: 1:   19 Dividing Fractions How TO
  262.    wt: 1:   17 Efficient Ways to Add and Subtract
  263.    wt: 1:   16 Addition Subtraction Comparision Compared
  264.    wt: 1:   6 Multiplication of Mixed Numbers
  265.    wt: 1:   5 Equivalent Fractions
  266.    wt: 1:   11 Adding Integers Formulas and Examples
  267.    wt: 1:   8 Multiplication by Signed Numbers Integers
  268.    wt: 1:   6 Multiplication by Natural Numbers
  269.    wt: 1:   5 Zero Movement and Additive Inverses
  270.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  271.    wt: 1:   17 Identify and Count Factors using Primes
  272.    wt: 1:   12 LCD GCD and LCM using Primes
  273.    wt: 1:   7 Calculator Usage Notes and Cautions
  274.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  275.    wt: 1:   5 Prime Factorization and a Square Rule
  276.    wt: 1:   3 video Primes and Composites from 9 times table
  277.    wt: 1:   2 Prime and Composites less than 16
  278.    wt: 1:   Division with Counts and Length
  279.    wt: 1:   Long Division forwards and backwards Example 3
  280.    wt: 1:   Long Division forwards and backwards Example 2
  281.    wt: 1:   Long Division forwards and backwards Example 1
  282.    wt: 1:   10 Division by Five Long and Short Ways
  283.    wt: 1:   4 Two and Three Digit Multipliers
  284.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  285.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  286.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  287.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  288.    wt: 1:   7 Adding decimal fractions using decimal point
  289.    wt: 1:   1. Explaining Addition Table
  290.    wt: 1:   11 Place Value SI Standard International way
  291.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  292.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  293.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  294.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  295.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  296.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  297.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  298.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  299.    wt: 1:   016 Numbering Occidental Calendar Days
  300.    wt: 1:   015 School and work day counting tables
  301.    wt: 1:   011 Division of Time Intervals By Numbers
  302.    wt: 1:   010 Repeated Addition of Time Intervals
  303.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  304.    wt: 1:   8 Addition of Time Intervals via subtotaling
  305.    wt: 1:   7 Addition of Time Intervals
  306.    wt: 1:   4 Mixing and Changing Units of Time
  307.    wt: 1:   3 Units and Lengths of Time
  308.    wt: 1:   2 Time and Date Matters in School
  309.    wt: 1:   1 Intro of Kids To Time Date Skills
  310.    wt: 1:   Example 1. Area Between x and x squared
  311.    wt: 1:   17 Derivatives of quotients of sine and cosine
  312.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  313.    wt: 1:   15 sine and cosine derivatives 3rd step
  314.    wt: 1:   14 sine and cosine derivatives 2nd step
  315.    wt: 1:   13 sine and cosine derivatives 1st step
  316.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  317.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  318.    wt: 1:   9 Limits Continuity and Composition
  319.    wt: 1:   5 Jumps and absence of unlimited error control
  320.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  321.    wt: 1:   PostScript For and Against Decimal Perspectives
  322.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  323.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  324.    wt: 1:   Chapter 22 Complex Numbers
  325.    wt: 1:   Chapter 21 Arrow Addition
  326.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  327.    wt: 1:   Chapter 12. Units and Slopes
  328.    wt: 1:   Chapter 10 Slopes and Units
  329.    wt: 1:   Chapter 7 Slopes and Velocity
  330.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  331.    wt: 1:   Chapter 2. Slopes and Ski Trails
  332.    wt: 1:   Appendix E. How To Study Mathematics and Why
  333.    wt: 1:   Appendix D. What to do in School and Why
  334.    wt: 1:   Chapter 31 Direct and Indirect Reason
  335.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  336.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  337.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  338.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  339.    wt: 1:   Chapter 20. Degrees and Radians
  340.    wt: 1:   Chapter 19. Functions and Sets
  341.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  342.    wt: 1:   Chapter 12. Shorthand Usage Guide
  343.    wt: 1:   Chapter 11. Why Shorthand
  344.    wt: 1:   Chapter 10 Describing and Changing Calculations
  345.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  346.    wt: 1:   Chapter 8 Three Skills For Algebra
  347.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  348.    wt: 1:   Chapter 2 For and Against Mathematics
  349.    wt: 1:   Postscript B More on Story Telling and Reason
  350.    wt: 1:   Chapter 24 Direct and Indirect Reason
  351.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  352.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  353.    wt: 1:   Chapter 18 Sense and Knowledge
  354.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  355.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  356.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  357.    wt: 1:   R Why Learn Mathematics Skills
  358.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  359.    wt: 1:   O On Learning Mathematics and Science
  360.    wt: 1:   L Skills with take home value
  361.    wt: 1:   N Improving Marks on Tests and Finals
  362.    wt: 1:   J. More on written work and showing skill
  363.    wt: 1:   H Jigsaw puzzles and problem solving
  364.    wt: 1:   G. Written work formats for developing and showing skill
  365.    wt: 1:   E. When and how to correct errors
  366.    wt: 1:   Chapter 8 Skipped Topics and Why
  367.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  368.    wt: 1:   Chapter 6 More Algebra and Geometry
  369.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  370.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  371.    wt: 1:   7 Games and Activities for Instruction
  372.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  373.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  374.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  375.    wt: 1:   Helping the Blind in Logic and Mathematics
  376.    wt: 1:   More Algebra and Slope based Calculus Preview
  377.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  378.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  379.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  380.    wt: 1:   The Math Forum and Site Content

Extended Search

721 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   1 More and Less Than for Counts and Measures
  3.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  4.    wt: 9:   3 Multiplying Units and Numbers
  5.    wt: 9:   1 Addition and Subtraction with Units
  6.    wt: 9:   21 Working With Signs
  7.    wt: 9:   18 Efficient Ways to Multiply
  8.    wt: 9:   13 Fraction Comparison Algebraic View
  9.    wt: 9:   12 Fraction Comparison
  10.    wt: 9:   11 Simplification an Algebraic View
  11.    wt: 9:   8 Numerals Fractionals Quantals Take II
  12.    wt: 9:   7 Numerals Fractionals Quantals
  13.    wt: 9:   6 Multiplication Algebraically Take II
  14.    wt: 9:   4 Fraction Multiplication
  15.    wt: 9:   3 Unit fraction of a fraction
  16.    wt: 9:   2 Unit Fraction Multiplication
  17.    wt: 9:   1 What is a fraction Take II
  18.    wt: 9:   1 What is a fraction
  19.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  20.    wt: 8:   3 Comparison of Negative Numbers
  21.    wt: 8:   11 What are real lengths and numbers
  22.    wt: 8:   5 lengths and signs of numbers
  23.    wt: 8:   2 signed and unsigned numbers as coordinates
  24.    wt: 8:   6 Simplification of Fractions with Units
  25.    wt: 8:   4 Fractions with Units
  26.    wt: 8:   2 Equality and Units
  27.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  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:   6 Multiplication by Natural Numbers
  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:   7 Subtraction for Decimal Fractions with Exercises
  57.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  58.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  59.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  60.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  61.    wt: 7:   7 Adding decimal fractions using decimal point
  62.    wt: 7:   1. Explaining Addition Table
  63.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  64.    wt: 7:   Quick history of numbers and algebra
  65.    wt: 7:   Exact Arithmetic Wholes and Fractions
  66.    wt: 6:   5 Square Roots with primes more still
  67.    wt: 6:   4 Square Roots with primes more
  68.    wt: 6:   3 Properties of Square Roots with example
  69.    wt: 6:   2 Square Roots with Prime
  70.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  71.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  72.    wt: 6:   13 GCD from given Prime Factorization
  73.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  74.    wt: 6:   8 GCD from Euclidean Algorithm
  75.    wt: 6:   6 GCD from Prime
  76.    wt: 6:   5 Common Divisors 60 45 via Prime
  77.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  78.    wt: 6:   2 Least Common Multiple LCM intro via list method
  79.    wt: 6:   1 Least Common Multiples LCM Introduction
  80.    wt: 6:   12 GCD 2700 288 via Prime
  81.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  82.    wt: 6:   4 Counting with Trees Product Rule Take I
  83.    wt: 6:   4 signed coordinates for regions in space
  84.    wt: 6:   11 Adding Integers Formulas and Examples
  85.    wt: 6:   8 Multiplication by Signed Numbers Integers
  86.    wt: 6:   5 Zero Movement and Additive Inverses
  87.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  88.    wt: 6:   26 Divisibility by 2 3 5 Example
  89.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  90.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  91.    wt: 6:   23 Remainder Arithmetic Modulo 2
  92.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  93.    wt: 6:   21 Remainder Arithmetic Modulo 3
  94.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  95.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  96.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  97.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  98.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  99.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  100.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  101.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  102.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  103.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  104.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  105.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  106.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  107.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  108.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  109.    wt: 6:   5 Remainder Arithmetic Modulo 5
  110.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  111.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  112.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  113.    wt: 6:   1 Remainder Arithmetic Modulo 10
  114.    wt: 6:   20 Uniqueness of Prime Factorization
  115.    wt: 6:   19 video Prime Factorization Unique
  116.    wt: 6:   18 video Count Factors given Prime Factorization
  117.    wt: 6:   16 video Factors of 980 using prime
  118.    wt: 6:   15 video Factors of 20 using Prime Factorization
  119.    wt: 6:   14 video Factors of 24 Take II
  120.    wt: 6:   13 video Factors of 24 using prime
  121.    wt: 6:   11 Efficient Square Rule Use
  122.    wt: 6:   10 video Prime Factorization upto 23 squared
  123.    wt: 6:   9 video Prime Factorization upto 19 squared
  124.    wt: 6:   8 video Prime Factorization upto 19
  125.    wt: 6:   4 video Prime Factorization Introduction
  126.    wt: 6:   1 video how Products are bigger than factor
  127.    wt: 6:   Division with Counts and Length
  128.    wt: 6:   Long Division forwards and backwards Example 3
  129.    wt: 6:   Long Division forwards and backwards Example 2
  130.    wt: 6:   Long Division forwards and backwards Example 1
  131.    wt: 6:   10 Division by Five Long and Short Ways
  132.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  133.    wt: 6:   6 Multiplication Commutes Order Not Important
  134.    wt: 6:   4 Two and Three Digit Multipliers
  135.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  136.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  137.    wt: 6:   Subtraction with J Conversions Example
  138.    wt: 6:   Subtraction Another Video Lesson
  139.    wt: 6:   9 22 Minute Subtraction Review Video
  140.    wt: 6:   8 Subtraction with Units of Measure
  141.    wt: 6:   5 A Tip for Efficent Subtraction
  142.    wt: 6:   2 Subtraction Easy Case Examples
  143.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  144.    wt: 6:   5. How to add decimals C. Examples
  145.    wt: 6:   4. How to add with decimals B with conversions
  146.    wt: 6:   3. How to add with decimals A sans conversions
  147.    wt: 6:   2 Decimal Counting Practices
  148.    wt: 6:   11 Place Value SI Standard International way
  149.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  150.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  151.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  152.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  153.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  154.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  155.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  156.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  157.    wt: 5:   11 Signed Number Addition and Addition Properties
  158.    wt: 5:   arithmetic videos Real Player Format
  159.    wt: 5:   D Remainders Modulo 11 Pair Rule
  160.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  161.    wt: 5:   B Integer Long Division Multiple Choices
  162.    wt: 5:   A Associative Law Theorectical Note
  163.    wt: 5:   13 Subtraction with Additive Inverse
  164.    wt: 5:   12 Adding Integers More Examples
  165.    wt: 5:   10 Integer Multiplication Formulas
  166.    wt: 5:   9 Multiplying Integers
  167.    wt: 5:   7 Multiplication by Signs
  168.    wt: 5:   4 Adding Movements wiht opposite directions
  169.    wt: 5:   3 Adding Movements with same direction
  170.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  171.    wt: 5:   1 Integers as Coordinates
  172.    wt: 5:   Long Division Backwards more
  173.    wt: 5:   Long Division Backward
  174.    wt: 5:   12 Why Long Division Works Take III
  175.    wt: 5:   11 Another Single Digit Divisor Example
  176.    wt: 5:   9 Why Long Division Works Take II
  177.    wt: 5:   8 Correcting the Mistake
  178.    wt: 5:   7 Long Divison Mistake Catching
  179.    wt: 5:   5 Long Division Include Zeroes or not
  180.    wt: 5:   4 Division with 2 Digit Divsors
  181.    wt: 5:   3 Division Single Digit Divisor Example
  182.    wt: 5:   2 Division with Single Digit Divisors
  183.    wt: 5:   1 Divsion Physical Examples
  184.    wt: 5:   D Decimal Multiplication Methods Derived
  185.    wt: 5:   C Counting Areas with Powers of Ten
  186.    wt: 5:   B Powers of Ten
  187.    wt: 5:   A Elementary Basis for Multiplication Methods
  188.    wt: 5:   5 Decimal Fraction Multiplication
  189.    wt: 5:   3 More One Digit Multipliers
  190.    wt: 5:   2 One Digit Multipliers
  191.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  192.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  193.    wt: 5:   Video Power Notation in Decimal Expansion
  194.    wt: 5:   1 Why 3 times 5 gives 15
  195.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  196.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  197.    wt: 5:   Formula Evaluation how to show work
  198.    wt: 5:   Expression Evaluation how to show work
  199.    wt: 5:   The 20 Times Table
  200.    wt: 5:   The 12 Times Table Visually
  201.    wt: 5:   About folder contents
  202.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  203.    wt: 4:   2 Combing Counts Addition Skills and Principles
  204.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  205.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  206.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  207.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  208.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  209.    wt: 3:   13 Addition and Addition Tables
  210.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  211.    wt: 3:   6 Field Properties of Complex Number
  212.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  213.    wt: 3:   3 Trigonometric Ratios sine and cosine
  214.    wt: 3:   6 Polar Multiplication and Rotation
  215.    wt: 3:   5 Cartesian Addition and Translation
  216.    wt: 3:   6 Ruler and compass Angle Bisection
  217.    wt: 3:   8 Division and Mulplication of Compound Fractions
  218.    wt: 3:   4 Rates Ratios and Proporitionality
  219.    wt: 3:   2 Addition and Multiplication Axioms
  220.    wt: 3:   3 More and Less Than with Unlike Signs
  221.    wt: 3:   2 More and Less Than for Counts and Measures
  222.    wt: 3:   11 Real Number Addition
  223.    wt: 3:   10 Real Number Lengths and Signs
  224.    wt: 3:   1 Whole and Natural Numbers
  225.    wt: 3:   6 Three Examples
  226.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  227.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  228.    wt: 3:   I. Logic and language skills
  229.    wt: 3:   How to Build Skills and Confidence
  230.    wt: 3:   7 Games and Activities for Instruction
  231.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  232.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  233.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  234.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  235.    wt: 2:   Ramblings Extrinsic numbers theory
  236.    wt: 2:   2 Reading and Writing Skills
  237.    wt: 2:   Ages 12 to 14 Skills with take home value
  238.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  239.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  240.    wt: 2:   9 Summary Degrees to Radians and back
  241.    wt: 2:   1 Degrees and Radians Introduction
  242.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  243.    wt: 2:   Vector and Complex Number Applet
  244.    wt: 2:   Parallel Lines and Parallel Transversals
  245.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  246.    wt: 2:   Parallel Lines and Interior Angles
  247.    wt: 2:   14 cosine even and sine and tangent are odd
  248.    wt: 2:   21 Logarithms Powers and Exponentials
  249.    wt: 2:   20 N th Roots of Complex Numbers
  250.    wt: 2:   16 References and Originality Question
  251.    wt: 2:   13 Trig Formulas for dot and cross Products
  252.    wt: 2:   12 cis formulas for sine cosines and tangent
  253.    wt: 2:   11 sine and cosine double triple angle formulas
  254.    wt: 2:   9 The complex number valued trig function cis
  255.    wt: 2:   3 Addition Properties
  256.    wt: 2:   2 Complex Numbers made easier we hope
  257.    wt: 2:   Appetizer A Complex Number Applet
  258.    wt: 2:   7 Trignometric Ratios Unit Circle
  259.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  260.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  261.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  262.    wt: 2:   10 Midpoint of [a b] and [b a]
  263.    wt: 2:   7 Exercises to test skill and concept mastery
  264.    wt: 2:   6 Intersection of lines by solving linear systems
  265.    wt: 2:   1 Numerical view of lines and their equations
  266.    wt: 2:   What is and is not here
  267.    wt: 2:   7 Complex Numbers Appetizer
  268.    wt: 2:   4 Polar Coordinates to and from
  269.    wt: 2:   PS H Distributive Law For Complex Numbers
  270.    wt: 2:   PS G Rotation Distributes over Addition
  271.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  272.    wt: 2:   PS D Addition with Cartesian Coordinates
  273.    wt: 2:   16 Angles Subtended By Chords and Diameters
  274.    wt: 2:   1 Initial Concepts and Terms
  275.    wt: 2:   3 Lengths and Areas on Maps and Plans
  276.    wt: 2:   musings do not puiblish real numbers
  277.    wt: 2:   A Modular and Remainder Arithmetic
  278.    wt: 2:   A Signed Number Arithmetic Review
  279.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  280.    wt: 2:   22 Multiplication of Signed Numbers
  281.    wt: 2:   21 Addition of Multiples of a Single Vector
  282.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  283.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  284.    wt: 2:   15 Head to Tails in place Addition Associative
  285.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  286.    wt: 2:   13 Arrows and Vectors in a Plane
  287.    wt: 2:   12 Real Numbers Line Signed Coordinates
  288.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  289.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  290.    wt: 2:   4 Location of Point in Decimal Addition
  291.    wt: 2:   1 Fractions with Finite Decimal Expansions
  292.    wt: 2:   B Decimal Comparison and Subtraction
  293.    wt: 2:   A Decimal Addition Columm Methods
  294.    wt: 2:   6 Column Methods for Decimal Multiplication
  295.    wt: 2:   5 Distributive Law for Whole Numbers
  296.    wt: 2:   3 Multiplicative Counting Skills Principles
  297.    wt: 2:   1 The Counting Origins of Numbers
  298.    wt: 2:   5 Proportionality in Equivalent Fractions
  299.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  300.    wt: 2:   6 Equations and Systems Equivalent or Implied
  301.    wt: 2:   4 Subtraction and Division Axioms
  302.    wt: 2:   4 Comparison of Negative Numbers
  303.    wt: 2:   1 Real Numbers Comparison
  304.    wt: 2:   16 Real Numbers Comparison
  305.    wt: 2:   15 Real Number Division
  306.    wt: 2:   14 Real Number Multiplication
  307.    wt: 2:   13 Real Number Subtraction
  308.    wt: 2:   12 Real Number Additive Inverses or Negatives
  309.    wt: 2:   8 Coordinates for Maps and Planes
  310.    wt: 2:   7 Real Numbers as Line Cordinates
  311.    wt: 2:   6 Unsigned Real Numbers
  312.    wt: 2:   5 Rational Numbers More
  313.    wt: 2:   4 Rational Numbers
  314.    wt: 2:   3 Fractions
  315.    wt: 2:   3 Geometric Formulas and Function Notation
  316.    wt: 2:   1 Formulas Dependence and Function Notation
  317.    wt: 2:   3 GE III Equation Addition and Multiplication
  318.    wt: 2:   Skill Development Notes
  319.    wt: 2:   10 One Example
  320.    wt: 2:   9 Three Examples
  321.    wt: 2:   8 One Example
  322.    wt: 2:   7 Two Examples
  323.    wt: 2:   5 Three Examples
  324.    wt: 2:   4 Two Examples
  325.    wt: 2:   3 Two Examples
  326.    wt: 2:   2 Three Examples
  327.    wt: 2:   5 Talking about Numbers and Quantities
  328.    wt: 2:   4 A Brief Story of numbers and algebra
  329.    wt: 2:   016 Numbering Occidental Calendar Days
  330.    wt: 2:   015 School and work day counting tables
  331.    wt: 2:   011 Division of Time Intervals By Numbers
  332.    wt: 2:   010 Repeated Addition of Time Intervals
  333.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  334.    wt: 2:   8 Addition of Time Intervals via subtotaling
  335.    wt: 2:   7 Addition of Time Intervals
  336.    wt: 2:   4 Mixing and Changing Units of Time
  337.    wt: 2:   3 Units and Lengths of Time
  338.    wt: 2:   2 Time and Date Matters in School
  339.    wt: 2:   1 Intro of Kids To Time Date Skills
  340.    wt: 2:   Example 1. Area Between x and x squared
  341.    wt: 2:   38 Formulas and derivatives for powers and roots
  342.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  343.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  344.    wt: 2:   9 Limits Continuity and Composition
  345.    wt: 2:   5 Jumps and absence of unlimited error control
  346.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  347.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  348.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  349.    wt: 2:   Appendix E. How To Study Mathematics and Why
  350.    wt: 2:   Appendix D. What to do in School and Why
  351.    wt: 2:   Chapter 31 Direct and Indirect Reason
  352.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  353.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  354.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  355.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  356.    wt: 2:   Chapter 20. Degrees and Radians
  357.    wt: 2:   Chapter 19. Functions and Sets
  358.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  359.    wt: 2:   Chapter 12. Shorthand Usage Guide
  360.    wt: 2:   Chapter 11. Why Shorthand
  361.    wt: 2:   Chapter 10 Describing and Changing Calculations
  362.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  363.    wt: 2:   Chapter 8 Three Skills For Algebra
  364.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  365.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  366.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  367.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  368.    wt: 2:   R Why Learn Mathematics Skills
  369.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  370.    wt: 2:   O On Learning Mathematics and Science
  371.    wt: 2:   L Skills with take home value
  372.    wt: 2:   N Improving Marks on Tests and Finals
  373.    wt: 2:   J. More on written work and showing skill
  374.    wt: 2:   H Jigsaw puzzles and problem solving
  375.    wt: 2:   G. Written work formats for developing and showing skill
  376.    wt: 2:   E. When and how to correct errors
  377.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  378.    wt: 1:   Appendix 1 primary and preschool mathematic
  379.    wt: 1:   G LAMP Introduction Problem Solving Skills
  380.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  381.    wt: 1:   Skills Chapter 5 Calculus
  382.    wt: 1:   Skills Chapter 4 Logic
  383.    wt: 1:   Skills Chapter 3 Algebra
  384.    wt: 1:   Skills Chapter 2 Geometry
  385.    wt: 1:   Skills Chapter 1 Arithmetic
  386.    wt: 1:   Skills Chapter 0 Introduction
  387.    wt: 1:   7 logic review and decimals an odd combination
  388.    wt: 1:   5 logarithms and exponentials etc
  389.    wt: 1:   2 arithmetic with signed numbers
  390.    wt: 1:   1 arithmetic with unsigned numbers
  391.    wt: 1:   key notes and themes
  392.    wt: 1:   what should be learnt and When
  393.    wt: 1:   standards for course material
  394.    wt: 1:   Theory of Knowledge
  395.    wt: 1:   Education in mathematics science and technology
  396.    wt: 1:   Motivation and Context Problem
  397.    wt: 1:   fairness and inductive principles for instruction
  398.    wt: 1:   3 Like resistors in parallel
  399.    wt: 1:   2 Unlike resistors in parallel01
  400.    wt: 1:   1 Like resistors in series
  401.    wt: 1:   F Unlike Resistors in Series
  402.    wt: 1:   Home Tutoring and Home Schooling
  403.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  404.    wt: 1:   24 Standards For Skill Develoment Take II
  405.    wt: 1:   24 Standards For Skill Develoment
  406.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  407.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  408.    wt: 1:   17 Math Booklets for children and young teenagers
  409.    wt: 1:   14 Multiplication and Times Tables
  410.    wt: 1:   12 Goals and Objectives For Mathematics
  411.    wt: 1:   11 Help and Defend Your Child or Teens Education
  412.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  413.    wt: 1:   5 Patience Please for Yourself and Your Charges
  414.    wt: 1:   4 Learning Takes Time and Effort
  415.    wt: 1:   1 Speaking Skills
  416.    wt: 1:   Ages 12 to 14 Geometry
  417.    wt: 1:   Ages 12 to 14 Arithmetic
  418.    wt: 1:   Ages 10 to 12 Geometry
  419.    wt: 1:   Ages 10 to 12 Arithmetic
  420.    wt: 1:   Ages 9 to 10
  421.    wt: 1:   Ages 8 to 9
  422.    wt: 1:   Ages 7 to 8
  423.    wt: 1:   Ages 6 to 7
  424.    wt: 1:   Ages 4 plus to 5 plus
  425.    wt: 1:   Ages 3 plus to 4 plus
  426.    wt: 1:   26 Function definitions done and coming
  427.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  428.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  429.    wt: 1:   19 Horizontal line rule and method
  430.    wt: 1:   18 Vertical Line Rule and Method
  431.    wt: 1:   17 Function maxima minima and their location
  432.    wt: 1:   11 Function Domain Range Source and Targets
  433.    wt: 1:   9 Set theory term relation possible origins
  434.    wt: 1:   8 Set view of relations and functions
  435.    wt: 1:   6 Set Existence Formation and Notation
  436.    wt: 1:   4 Function notation in and beyond mathematics
  437.    wt: 1:   9 quadratics physical and further context
  438.    wt: 1:   11 Growth and Decay in Biology
  439.    wt: 1:   10 Exponential Growth and Decay Models
  440.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  441.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  442.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  443.    wt: 1:   3 Polynomials Multiplication Addition
  444.    wt: 1:   16 cotangent function Definition Graph and Inverse
  445.    wt: 1:   15 cosecant function Definition Graph and Inverse
  446.    wt: 1:   14 secant function Definition Graph and Inverse
  447.    wt: 1:   13 cosecant function Definition Graph and Inverse
  448.    wt: 1:   8 Radian Measures of Common Angles
  449.    wt: 1:   7 Radian Measures in special Triangles
  450.    wt: 1:   6 Radian Measure to Degrees
  451.    wt: 1:   5 Degrees to Radian Measure
  452.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  453.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  454.    wt: 1:   2 Radian Measure Numerical Value of one degree
  455.    wt: 1:   A Global Time and Navigation
  456.    wt: 1:   15 Dot and Cross Product
  457.    wt: 1:   10 Parallelogram Addition Method
  458.    wt: 1:   5 Head To Tail Arrow Addition
  459.    wt: 1:   4 graphing y=Asin(x c)
  460.    wt: 1:   3 graphing y=f(x c) plus K
  461.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  462.    wt: 1:   1 graphing y=f(x a)
  463.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  464.    wt: 1:   Triangle Angles Sum To 180 Degrees
  465.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  466.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  467.    wt: 1:   Straight Lines ASA Intersection Study More
  468.    wt: 1:   Straight Lines ASA Intersection Study
  469.    wt: 1:   Straight Lines Instersection Solving Equations
  470.    wt: 1:   Straight Lines Intersection of
  471.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  472.    wt: 1:   C Straight Lines Slope from Coordinates
  473.    wt: 1:   B Straight Line Slope Scaling Properties More
  474.    wt: 1:   A Straight Line Slope Scaling Properties
  475.    wt: 1:   14 Straight Lines Equations General Case
  476.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  477.    wt: 1:   12 Straight Lines Graphing mx plus b
  478.    wt: 1:   11 Straight Lines Graphing y=mx
  479.    wt: 1:   10 Straight Lines through Origin Equations More
  480.    wt: 1:   9 Straight Lines through Origin Equations
  481.    wt: 1:   8 Straight Lines Equation for vertical
  482.    wt: 1:   7 Tangent Function is odd on this domain
  483.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  484.    wt: 1:   5 Tangent Function Graph
  485.    wt: 1:   4 Tangent Function Properties
  486.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  487.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  488.    wt: 1:   1 Straight Lines Slope Concept
  489.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  490.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  491.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  492.    wt: 1:   29 secant cosecant and cotangent for acute angles
  493.    wt: 1:   27 Logarithmic use of products of sines and cosines
  494.    wt: 1:   26 Formulas for products of sines and cosines
  495.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  496.    wt: 1:   21 sine and cosine Half Angle Formulas
  497.    wt: 1:   20 sine and cosine Double Angle Formulas
  498.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  499.    wt: 1:   17E Trig Formulas for dot and cross Products
  500.    wt: 1:   17D cis formulas for sine cosines and tangent
  501.    wt: 1:   17C sine and cosine double triple angle formulas
  502.    wt: 1:   17A The complex number valued trig function cis
  503.    wt: 1:   10 Graphs of sines and cosines many periods
  504.    wt: 1:   9 Graphs of sine and cosine over one period
  505.    wt: 1:   7 period of sine and cosine
  506.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  507.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  508.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  509.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  510.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  511.    wt: 1:   19 N th Roots of Unity
  512.    wt: 1:   18 Sixth Roots of Unity
  513.    wt: 1:   17 Cube Roots of unity
  514.    wt: 1:   15 Pythagorean Theorem Converse
  515.    wt: 1:   14 Law of cosines
  516.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  517.    wt: 1:   8 Unit Circle Development of Trigonometry
  518.    wt: 1:   7 Second Way to Calculate Products
  519.    wt: 1:   5 An Easy Proof of the Distributive Law
  520.    wt: 1:   4 Multiplication Properties
  521.    wt: 1:   1 Rectangular Polar Coordinates Review
  522.    wt: 1:   8 Triangles Cascade Problem Solving
  523.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  524.    wt: 1:   1 Angle Measurement with Degrees
  525.    wt: 1:   Why Trigonometry the whyslopes view
  526.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  527.    wt: 1:   8 Similarity of Triangles and Polygons
  528.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  529.    wt: 1:   1 Early Concept of Like or Similar Shapes
  530.    wt: 1:   Four Simple Exercises
  531.    wt: 1:   12 Links Lessons elsewhere
  532.    wt: 1:   11 A Partial Summary
  533.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  534.    wt: 1:   8 Mid Point Formula
  535.    wt: 1:   5 Algebraic View of Slopes
  536.    wt: 1:   4 Equations for lines three forms
  537.    wt: 1:   3 Slope product for perpendicular lines
  538.    wt: 1:   2 point slope equation for a line
  539.    wt: 1:   13 Pythagorean spatial distance formulas
  540.    wt: 1:   12 Spatial Coordinates
  541.    wt: 1:   11 Triangle Inequality
  542.    wt: 1:   10 Pythagorean plane distance formula
  543.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  544.    wt: 1:   8 Distance Between Points on a Line
  545.    wt: 1:   3 Rectangular Coordinates Review
  546.    wt: 1:   2 Cartesian Coordinates with signs
  547.    wt: 1:   1 Cartesian Coordinates sans signs
  548.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  549.    wt: 1:   PS E Multiplication with Polar Coordinates
  550.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  551.    wt: 1:   PS B Parallelogram Construction Methods
  552.    wt: 1:   PS A Kite Construction Methods
  553.    wt: 1:   21 Parallelograms
  554.    wt: 1:   19 Right Triangle Similarity
  555.    wt: 1:   18 Triangle Similarity Take 1
  556.    wt: 1:   17 Right Bisectors of Triangle Sides
  557.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  558.    wt: 1:   14 Parallel Lines Postulate
  559.    wt: 1:   13 Angle Side Angle Failure
  560.    wt: 1:   12 Side Angle Side Failure
  561.    wt: 1:   11 Triangle Construction Fails
  562.    wt: 1:   10 Dropping a perpendicular to line
  563.    wt: 1:   9 Construction of a right bisector
  564.    wt: 1:   8 Isoceles Triangles
  565.    wt: 1:   7 Angle Side Angle
  566.    wt: 1:   5 Side Angle Side
  567.    wt: 1:   4 Side Side Side
  568.    wt: 1:   3 Isometry of Triangles Congruence
  569.    wt: 1:   2 Correspondence between Triangles
  570.    wt: 1:   Short Course on Euclidean Geometry
  571.    wt: 1:   26 More Less Greater Than Comparison
  572.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  573.    wt: 1:   23 Distributive Law Two Derivations
  574.    wt: 1:   19 Signed Multiples of Vectors
  575.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  576.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  577.    wt: 1:   9 Division with Digits after Decimal Point
  578.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  579.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  580.    wt: 1:   3 Location of Point in Decimal Multiplication
  581.    wt: 1:   2 Counting Digits in Decimal Multiplication
  582.    wt: 1:   E Long Division Methods more
  583.    wt: 1:   D Long Division Methods
  584.    wt: 1:   C Three Decimal Subtraction Methods
  585.    wt: 1:   8 Column Multiplication Methods in General
  586.    wt: 1:   7 Decimals Multiplication Methods Examples
  587.    wt: 1:   4 Commutative Law Groups Counting Form
  588.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  589.    wt: 1:   3 Proportionality Examples
  590.    wt: 1:   2 Algebraic View
  591.    wt: 1:   1 What is Proportionality
  592.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  593.    wt: 1:   6 Compound Interest Forward and Backwards
  594.    wt: 1:   5 Equality in Algebra
  595.    wt: 1:   3 Product Axioms Two Forms
  596.    wt: 1:   1 Equivalent Computation Rules
  597.    wt: 1:   5 Greater More Less Than Signs in General
  598.    wt: 1:   9 Coordinates for Regions in Space
  599.    wt: 1:   2 Integers
  600.    wt: 1:   5 Independent versus Dependent Variables
  601.    wt: 1:   4 Changing Letters
  602.    wt: 1:   2 Computation Rules Evaluation
  603.    wt: 1:   6 Algebraic Solution Example
  604.    wt: 1:   1 Written work formats for developing and showing skill
  605.    wt: 1:   9 Sets in Probability and Statistics
  606.    wt: 1:   8 Sets of Numbers
  607.    wt: 1:   1 Three Skills For Algebra
  608.    wt: 1:   014 Counting Days with Calendars
  609.    wt: 1:   013 Travel Time Tables
  610.    wt: 1:   012 Division of Time Intervals by Time Intervals
  611.    wt: 1:   6 How long is a million seconds
  612.    wt: 1:   5 Conversion Arithmetic
  613.    wt: 1:   Example 2 volume of a cone
  614.    wt: 1:   Example 1 volume of a pyramid
  615.    wt: 1:   Volume of Solid by Cross Sections Lesson
  616.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  617.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  618.    wt: 1:   Example 4 with x function of y
  619.    wt: 1:   Example 3
  620.    wt: 1:   Example 2
  621.    wt: 1:   Example 1
  622.    wt: 1:   Area Between Curves Lesson Take 2
  623.    wt: 1:   Area Between Curves Lesson Take 1
  624.    wt: 1:   Summary
  625.    wt: 1:   17 Derivatives of quotients of sine and cosine
  626.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  627.    wt: 1:   15 sine and cosine derivatives 3rd step
  628.    wt: 1:   14 sine and cosine derivatives 2nd step
  629.    wt: 1:   13 sine and cosine derivatives 1st step
  630.    wt: 1:   11 Limits at infinity Three Examples
  631.    wt: 1:   10 Three one sided limits with infinite values
  632.    wt: 1:   8 Four Animated Examples
  633.    wt: 1:   7 Evaluation by immediate or delayed substitution
  634.    wt: 1:   6 Continuity at a point
  635.    wt: 1:   4 Numerical properties
  636.    wt: 1:   3 Decimal insights for limits continuity convergence
  637.    wt: 1:   2 Algebraic codification
  638.    wt: 1:   1 Numerical introduction
  639.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  640.    wt: 1:   PostScript For and Against Decimal Perspectives
  641.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  642.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  643.    wt: 1:   Chapter 22 Complex Numbers
  644.    wt: 1:   Chapter 21 Arrow Addition
  645.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  646.    wt: 1:   Chapter 12. Units and Slopes
  647.    wt: 1:   Chapter 10 Slopes and Units
  648.    wt: 1:   Chapter 7 Slopes and Velocity
  649.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  650.    wt: 1:   Chapter 2. Slopes and Ski Trails
  651.    wt: 1:   Postscript More on Better Performance
  652.    wt: 1:   Postscript For Better Performance
  653.    wt: 1:   Appendix C. How to Read
  654.    wt: 1:   Appendix B. How To Learn
  655.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  656.    wt: 1:   Chapter 30 Truth Tables
  657.    wt: 1:   Chapter 28 Occurrence Tables
  658.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  659.    wt: 1:   Chapter 25. Mathematical Induction Examples
  660.    wt: 1:   Chapter 23. Notation For Sums
  661.    wt: 1:   Chapter 21. Third Reading Guide
  662.    wt: 1:   Chapter 18. Rules for Algebra
  663.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  664.    wt: 1:   Chapter 16. Painless Theorem Proving
  665.    wt: 1:   Chapter 15. Solving Linear Equations
  666.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  667.    wt: 1:   Chapter 13. Second Reading Guide
  668.    wt: 1:   Postscript What is a Variable
  669.    wt: 1:   Solutions For Arithmetic Exercises
  670.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  671.    wt: 1:   Chapter 6 Change of Language
  672.    wt: 1:   Chapter 4 Longer Chains of Reason
  673.    wt: 1:   Chapter 3 Chains of Reason
  674.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  675.    wt: 1:   Foreword
  676.    wt: 1:   Chapter 2 For and Against Mathematics
  677.    wt: 1:   Postscript B More on Story Telling and Reason
  678.    wt: 1:   Chapter 24 Direct and Indirect Reason
  679.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  680.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  681.    wt: 1:   Chapter 18 Sense and Knowledge
  682.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  683.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  684.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  685.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  686.    wt: 1:   S Adding words to algebra
  687.    wt: 1:   N Mathematics Prepare for College Studies
  688.    wt: 1:   M Words to extend arithmetic
  689.    wt: 1:   H more Routine to non routine problem solving
  690.    wt: 1:   F. The student teacher tutor feedback loop
  691.    wt: 1:   D. Check work a must with a caution
  692.    wt: 1:   C. Domino effect of being careful
  693.    wt: 1:   B. Domino effect of errors
  694.    wt: 1:   A. Skill has to be seen to believed
  695.    wt: 1:   Chapter 8 Skipped Topics and Why
  696.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  697.    wt: 1:   Chapter 6 More Algebra and Geometry
  698.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  699.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  700.    wt: 1:   Helping the Blind in Logic and Mathematics
  701.    wt: 1:   More Algebra and Slope based Calculus Preview
  702.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  703.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  704.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  705.    wt: 1:   The Math Forum and Site Content
  706.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  707.    wt: 12:   B Fractions and Two Term Ratios
  708.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  709.    wt: 12:   15 Adding and Subtracting with Unlike Denominators
  710.    wt: 12:   14 Adding and Subtracting with Like Denominators
  711.    wt: 12:   9 Improper Fractions and Mixed Numbers
  712.    wt: 11:   21 Reciprocals for Fractions and Wholes
  713.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  714.    wt: 10:   D Three Term Ratios
  715.    wt: 10:   22 Complex Compound Fractions
  716.    wt: 10:   20 Dividing Fractions the Why
  717.    wt: 10:   19 Dividing Fractions How TO
  718.    wt: 10:   17 Efficient Ways to Add and Subtract
  719.    wt: 10:   16 Addition Subtraction Comparision Compared
  720.    wt: 10:   6 Multiplication of Mixed Numbers
  721.    wt: 10:   5 Equivalent Fractions

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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