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: 6:   11 Squares and Square Roots/
  3.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  4.    wt: 6:   9 Combinatorics Trees Tables and Products/
  5.    wt: 6:   8 Arithmetic with Signed Numbers/
  6.    wt: 6:   7 Arithmetic and Fractions with Units/
  7.    wt: 6:   6 Fractions and Ratios/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  21.    wt: 1:   12 Function Translating and Rescaling/
  22.    wt: 1:   11 Parallel Straight Lines and Transversals/
  23.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  24.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  25.    wt: 1:   7 Complex Numbers/
  26.    wt: 1:   4 Lines and Slopes Take 1/
  27.    wt: 1:   3 Cartesian and Polar Coordinates/
  28.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  29.    wt: 1:   B Real Numbers Extrinsic Development/
  30.    wt: 1:   A Origins of Counting and Figuring Methods/
  31.    wt: 1:   9 Proportionality Backwards and Forwards/
  32.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  33.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  34.    wt: 1:   5 Real Numbers/
  35.    wt: 1:   4 Computation Rules and Function Notation/
  36.    wt: 1:   Step 1 Stick diagram and fractions/
  37.    wt: 1:   Time Date Matters/
  38.    wt: 1:   Skills with take home value/
  39.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  40.    wt: 1:   13 Lessons on Limits and Continuity/
  41.    wt: 1:   Volume 2 Three Skills For Algebra/
  42.    wt: 1:   Work and Study Tips/
  43.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

339 matches:

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

Extended Search

703 matches:

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

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:

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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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