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:   B Decimal Comparing and Subtracting Methods/
  3.    wt: 7:   A Decimal Counting and Adding Methods/
  4.    wt: 7:   1 Decimal Place Value/
  5.    wt: 6:   11 Squares and Square Roots/
  6.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 6:   9 Combinatorics Trees Tables and Products/
  8.    wt: 6:   8 Arithmetic with Signed Numbers/
  9.    wt: 6:   7 Arithmetic and Fractions with Units/
  10.    wt: 6:   6 Fractions and Ratios/
  11.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 6:   3 Prime Factorization Skills/
  13.    wt: 6:   D Decimal Long Division Methods/
  14.    wt: 6:   C Decimal Multiplication Methods/
  15.    wt: 6:   2 Arithmetic with Decimals/
  16.    wt: 5:   5 Integers/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   Time Date Matters/
  19.    wt: 2:   Skills with take home value/
  20.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  21.    wt: 1:   Mathematics Skills Year by Year/
  22.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  23.    wt: 1:   12 Function Translating and Rescaling/
  24.    wt: 1:   11 Parallel Straight Lines and Transversals/
  25.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 1:   7 Complex Numbers/
  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:   Step 1 Stick diagram and fractions/
  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

358 matches:

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

Extended Search

710 matches:

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

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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