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

346 matches:

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

Extended Search

708 matches:

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

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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
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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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