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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43 matches:

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

Web Page Search

367 matches:

  1.    wt: 3:   1 Counting and Counting Methods I
  2.    wt: 3:   17 Identify and Count Factors using Primes
  3.    wt: 3:   6. Counting and adding units and mixed units
  4.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  5.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  6.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  7.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 2:   Ramblings Extrinsic numbers theory
  9.    wt: 2:   2 Reading and Writing Skills
  10.    wt: 2:   Vector and Complex Number Applet
  11.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  12.    wt: 2:   14 cosine even and sine and tangent are odd
  13.    wt: 2:   3 Lengths and Areas on Maps and Plans
  14.    wt: 2:   11 Signed Number Addition and Addition Properties
  15.    wt: 2:   3 Multiplicative Counting Skills Principles
  16.    wt: 2:   2 Combing Counts Addition Skills and Principles
  17.    wt: 2:   1 The Counting Origins of Numbers
  18.    wt: 2:   2 More and Less Than for Counts and Measures
  19.    wt: 2:   10 Real Number Lengths and Signs
  20.    wt: 2:   1 Whole and Natural Numbers
  21.    wt: 2:   5 Talking about Numbers and Quantities
  22.    wt: 2:   4 A Brief Story of numbers and algebra
  23.    wt: 2:   1 More and Less Than for Counts and Measures
  24.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  25.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  26.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  27.    wt: 2:   7 GCD and LCM from prime factorization
  28.    wt: 2:   4 LCM of 8 and 10 via Prime
  29.    wt: 2:   3 Counting with Tables and Trees II
  30.    wt: 2:   2 Counting with Tables and Trees I
  31.    wt: 2:   11 What are real lengths and numbers
  32.    wt: 2:   5 lengths and signs of numbers
  33.    wt: 2:   2 signed and unsigned numbers as coordinates
  34.    wt: 2:   3 Multiplying Units and Numbers
  35.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  36.    wt: 2:   9 Improper Fractions and Mixed Numbers
  37.    wt: 2:   18 video Count Factors given Prime Factorization
  38.    wt: 2:   16 video Factors of 980 using prime
  39.    wt: 2:   15 video Factors of 20 using Prime Factorization
  40.    wt: 2:   13 video Factors of 24 using prime
  41.    wt: 2:   12 LCD GCD and LCM using Primes
  42.    wt: 2:   5 Prime Factorization and a Square Rule
  43.    wt: 2:   3 video Primes and Composites from 9 times table
  44.    wt: 2:   2 Prime and Composites less than 16
  45.    wt: 2:   8 What skills and work habits to require
  46.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  47.    wt: 2:   Quick history of numbers and algebra
  48.    wt: 2:   015 School and work day counting tables
  49.    wt: 2:   38 Formulas and derivatives for powers and roots
  50.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  51.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  52.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  53.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  54.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  55.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  56.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  57.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  58.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  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: 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:   15 Counting For Parents
  91.    wt: 1:   14 Multiplication and Times Tables
  92.    wt: 1:   13 Addition and Addition Tables
  93.    wt: 1:   12 Goals and Objectives For Mathematics
  94.    wt: 1:   11 Help and Defend Your Child or Teens Education
  95.    wt: 1:   5 Patience Please for Yourself and Your Charges
  96.    wt: 1:   4 Learning Takes Time and Effort
  97.    wt: 1:   1 Speaking Skills
  98.    wt: 1:   Ages 12 to 14 Skills with take home value
  99.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  100.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  101.    wt: 1:   26 Function definitions done and coming
  102.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  103.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  104.    wt: 1:   19 Horizontal line rule and method
  105.    wt: 1:   18 Vertical Line Rule and Method
  106.    wt: 1:   17 Function maxima minima and their location
  107.    wt: 1:   11 Function Domain Range Source and Targets
  108.    wt: 1:   9 Set theory term relation possible origins
  109.    wt: 1:   8 Set view of relations and functions
  110.    wt: 1:   6 Set Existence Formation and Notation
  111.    wt: 1:   4 Function notation in and beyond mathematics
  112.    wt: 1:   9 quadratics physical and further context
  113.    wt: 1:   11 Growth and Decay in Biology
  114.    wt: 1:   10 Exponential Growth and Decay Models
  115.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  116.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  117.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  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:   7 Coordinate Addition and Scalar Multiplication
  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:   2 Complex Numbers made easier we hope
  161.    wt: 1:   Appetizer A Complex Number Applet
  162.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  163.    wt: 1:   3 Trigonometric Ratios sine and cosine
  164.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  165.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  166.    wt: 1:   8 Similarity of Triangles and Polygons
  167.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  168.    wt: 1:   10 Midpoint of [a b] and [b a]
  169.    wt: 1:   7 Exercises to test skill and concept mastery
  170.    wt: 1:   1 Numerical view of lines and their equations
  171.    wt: 1:   What is and is not here
  172.    wt: 1:   7 Complex Numbers Appetizer
  173.    wt: 1:   6 Polar Multiplication and Rotation
  174.    wt: 1:   5 Cartesian Addition and Translation
  175.    wt: 1:   4 Polar Coordinates to and from
  176.    wt: 1:   PS H Distributive Law For Complex Numbers
  177.    wt: 1:   16 Angles Subtended By Chords and Diameters
  178.    wt: 1:   6 Ruler and compass Angle Bisection
  179.    wt: 1:   1 Initial Concepts and Terms
  180.    wt: 1:   musings do not puiblish real numbers
  181.    wt: 1:   A Modular and Remainder Arithmetic
  182.    wt: 1:   A Signed Number Arithmetic Review
  183.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  184.    wt: 1:   22 Multiplication of Signed Numbers
  185.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  186.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  187.    wt: 1:   13 Arrows and Vectors in a Plane
  188.    wt: 1:   12 Real Numbers Line Signed Coordinates
  189.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  190.    wt: 1:   8 Division and Mulplication of Compound Fractions
  191.    wt: 1:   2 Counting Digits in Decimal Multiplication
  192.    wt: 1:   B Decimal Comparison and Subtraction
  193.    wt: 1:   5 Distributive Law for Whole Numbers
  194.    wt: 1:   4 Commutative Law Groups Counting Form
  195.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  196.    wt: 1:   4 Rates Ratios and Proporitionality
  197.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  198.    wt: 1:   6 Compound Interest Forward and Backwards
  199.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  200.    wt: 1:   6 Equations and Systems Equivalent or Implied
  201.    wt: 1:   4 Subtraction and Division Axioms
  202.    wt: 1:   2 Addition and Multiplication Axioms
  203.    wt: 1:   4 Comparison of Negative Numbers
  204.    wt: 1:   3 More and Less Than with Unlike Signs
  205.    wt: 1:   1 Real Numbers Comparison
  206.    wt: 1:   16 Real Numbers Comparison
  207.    wt: 1:   15 Real Number Division
  208.    wt: 1:   14 Real Number Multiplication
  209.    wt: 1:   13 Real Number Subtraction
  210.    wt: 1:   12 Real Number Additive Inverses or Negatives
  211.    wt: 1:   11 Real Number Addition
  212.    wt: 1:   8 Coordinates for Maps and Planes
  213.    wt: 1:   7 Real Numbers as Line Cordinates
  214.    wt: 1:   6 Unsigned Real Numbers
  215.    wt: 1:   5 Rational Numbers More
  216.    wt: 1:   4 Rational Numbers
  217.    wt: 1:   3 Geometric Formulas and Function Notation
  218.    wt: 1:   1 Formulas Dependence and Function Notation
  219.    wt: 1:   3 GE III Equation Addition and Multiplication
  220.    wt: 1:   1 Written work formats for developing and showing skill
  221.    wt: 1:   9 Sets in Probability and Statistics
  222.    wt: 1:   8 Sets of Numbers
  223.    wt: 1:   3 Counting with Sets etc
  224.    wt: 1:   1 Three Skills For Algebra
  225.    wt: 1:   3 Comparison of Negative Numbers
  226.    wt: 1:   2 More and Less Than with Unlike Signs
  227.    wt: 1:   5 Square Roots with primes more still
  228.    wt: 1:   4 Square Roots with primes more
  229.    wt: 1:   2 Square Roots with Prime
  230.    wt: 1:   1 Squares and Square Roots Introduction
  231.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  232.    wt: 1:   13 GCD from given Prime Factorization
  233.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  234.    wt: 1:   6 GCD from Prime
  235.    wt: 1:   5 Common Divisors 60 45 via Prime
  236.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  237.    wt: 1:   12 GCD 2700 288 via Prime
  238.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  239.    wt: 1:   4 Counting with Trees Product Rule Take I
  240.    wt: 1:   10 dividing signed numbers
  241.    wt: 1:   9 subtracting signed numbers
  242.    wt: 1:   8 multiplying signed numbers
  243.    wt: 1:   7 negative and additive inverse
  244.    wt: 1:   6 adding signed numbers
  245.    wt: 1:   3 signed coordinates for maps and planes
  246.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  247.    wt: 1:   2 Equality and Units
  248.    wt: 1:   1 Addition and Subtraction with Units
  249.    wt: 1:   B Fractions and Two Term Ratios
  250.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  251.    wt: 1:   21 Reciprocals for Fractions and Wholes
  252.    wt: 1:   17 Efficient Ways to Add and Subtract
  253.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  254.    wt: 1:   14 Adding and Subtracting with Like Denominators
  255.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  256.    wt: 1:   6 Multiplication of Mixed Numbers
  257.    wt: 1:   11 Adding Integers Formulas and Examples
  258.    wt: 1:   8 Multiplication by Signed Numbers Integers
  259.    wt: 1:   6 Multiplication by Natural Numbers
  260.    wt: 1:   5 Zero Movement and Additive Inverses
  261.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  262.    wt: 1:   20 Uniqueness of Prime Factorization
  263.    wt: 1:   19 video Prime Factorization Unique
  264.    wt: 1:   14 video Factors of 24 Take II
  265.    wt: 1:   10 video Prime Factorization upto 23 squared
  266.    wt: 1:   9 video Prime Factorization upto 19 squared
  267.    wt: 1:   8 video Prime Factorization upto 19
  268.    wt: 1:   7 Calculator Usage Notes and Cautions
  269.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  270.    wt: 1:   4 video Prime Factorization Introduction
  271.    wt: 1:   Division with Counts and Length
  272.    wt: 1:   Long Division forwards and backwards Example 3
  273.    wt: 1:   Long Division forwards and backwards Example 2
  274.    wt: 1:   Long Division forwards and backwards Example 1
  275.    wt: 1:   10 Division by Five Long and Short Ways
  276.    wt: 1:   C Counting Areas with Powers of Ten
  277.    wt: 1:   4 Two and Three Digit Multipliers
  278.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  279.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  280.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  281.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  282.    wt: 1:   2 Decimal Counting Practices
  283.    wt: 1:   11 Place Value SI Standard International way
  284.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  285.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  286.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  287.    wt: 1:   Exact Arithmetic Wholes and Fractions
  288.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  289.    wt: 1:   016 Numbering Occidental Calendar Days
  290.    wt: 1:   014 Counting Days with Calendars
  291.    wt: 1:   011 Division of Time Intervals By Numbers
  292.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  293.    wt: 1:   4 Mixing and Changing Units of Time
  294.    wt: 1:   3 Units and Lengths of Time
  295.    wt: 1:   2 Time and Date Matters in School
  296.    wt: 1:   1 Intro of Kids To Time Date Skills
  297.    wt: 1:   Example 1. Area Between x and x squared
  298.    wt: 1:   17 Derivatives of quotients of sine and cosine
  299.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  300.    wt: 1:   15 sine and cosine derivatives 3rd step
  301.    wt: 1:   14 sine and cosine derivatives 2nd step
  302.    wt: 1:   13 sine and cosine derivatives 1st step
  303.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  304.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  305.    wt: 1:   9 Limits Continuity and Composition
  306.    wt: 1:   5 Jumps and absence of unlimited error control
  307.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  308.    wt: 1:   PostScript For and Against Decimal Perspectives
  309.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  310.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  311.    wt: 1:   Chapter 22 Complex Numbers
  312.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  313.    wt: 1:   Chapter 12. Units and Slopes
  314.    wt: 1:   Chapter 10 Slopes and Units
  315.    wt: 1:   Chapter 7 Slopes and Velocity
  316.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  317.    wt: 1:   Chapter 2. Slopes and Ski Trails
  318.    wt: 1:   Appendix E. How To Study Mathematics and Why
  319.    wt: 1:   Appendix D. What to do in School and Why
  320.    wt: 1:   Chapter 31 Direct and Indirect Reason
  321.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  322.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  323.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  324.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  325.    wt: 1:   Chapter 20. Degrees and Radians
  326.    wt: 1:   Chapter 19. Functions and Sets
  327.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  328.    wt: 1:   Chapter 12. Shorthand Usage Guide
  329.    wt: 1:   Chapter 11. Why Shorthand
  330.    wt: 1:   Chapter 10 Describing and Changing Calculations
  331.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  332.    wt: 1:   Chapter 8 Three Skills For Algebra
  333.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  334.    wt: 1:   Chapter 2 For and Against Mathematics
  335.    wt: 1:   Postscript B More on Story Telling and Reason
  336.    wt: 1:   Chapter 24 Direct and Indirect Reason
  337.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  338.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  339.    wt: 1:   Chapter 18 Sense and Knowledge
  340.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  341.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  342.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  343.    wt: 1:   R Why Learn Mathematics Skills
  344.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  345.    wt: 1:   O On Learning Mathematics and Science
  346.    wt: 1:   L Skills with take home value
  347.    wt: 1:   N Improving Marks on Tests and Finals
  348.    wt: 1:   J. More on written work and showing skill
  349.    wt: 1:   H Jigsaw puzzles and problem solving
  350.    wt: 1:   G. Written work formats for developing and showing skill
  351.    wt: 1:   E. When and how to correct errors
  352.    wt: 1:   Chapter 8 Skipped Topics and Why
  353.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  354.    wt: 1:   Chapter 6 More Algebra and Geometry
  355.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  356.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  357.    wt: 1:   7 Games and Activities for Instruction
  358.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  359.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  360.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  361.    wt: 1:   Helping the Blind in Logic and Mathematics
  362.    wt: 1:   More Algebra and Slope based Calculus Preview
  363.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  364.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  365.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  366.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  367.    wt: 1:   The Math Forum and Site Content

Extended Search

705 matches:

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

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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