Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential 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.

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

343 matches:

  1.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  2.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  3.    wt: 2:   Ramblings Extrinsic numbers theory
  4.    wt: 2:   2 Reading and Writing Skills
  5.    wt: 2:   26 Function definitions done and coming
  6.    wt: 2:   16 cotangent function Definition Graph and Inverse
  7.    wt: 2:   15 cosecant function Definition Graph and Inverse
  8.    wt: 2:   14 secant function Definition Graph and Inverse
  9.    wt: 2:   13 cosecant function Definition Graph and Inverse
  10.    wt: 2:   Vector and Complex Number Applet
  11.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  12.    wt: 2:   14 cosine even and sine and tangent are odd
  13.    wt: 2:   3 Lengths and Areas on Maps and Plans
  14.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  15.    wt: 2:   11 Signed Number Addition and Addition Properties
  16.    wt: 2:   2 Combing Counts Addition Skills and Principles
  17.    wt: 2:   2 More and Less Than for Counts and Measures
  18.    wt: 2:   10 Real Number Lengths and Signs
  19.    wt: 2:   1 Whole and Natural Numbers
  20.    wt: 2:   5 Talking about Numbers and Quantities
  21.    wt: 2:   4 A Brief Story of numbers and algebra
  22.    wt: 2:   1 More and Less Than for Counts and Measures
  23.    wt: 2:   11 What are real lengths and numbers
  24.    wt: 2:   5 lengths and signs of numbers
  25.    wt: 2:   2 signed and unsigned numbers as coordinates
  26.    wt: 2:   3 Multiplying Units and Numbers
  27.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  28.    wt: 2:   9 Improper Fractions and Mixed Numbers
  29.    wt: 2:   8 What skills and work habits to require
  30.    wt: 2:   6. Counting and adding units and mixed units
  31.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  32.    wt: 2:   Quick history of numbers and algebra
  33.    wt: 2:   38 Formulas and derivatives for powers and roots
  34.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  35.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  36.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  37.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  38.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  39.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  40.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  41.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  42.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  43.    wt: 2:   I. Logic and language skills
  44.    wt: 2:   How to Build Skills and Confidence
  45.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  46.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  47.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  48.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  49.    wt: 1:   Appendix 1 primary and preschool mathematic
  50.    wt: 1:   G LAMP Introduction Problem Solving Skills
  51.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  52.    wt: 1:   Skills Chapter 5 Calculus
  53.    wt: 1:   Skills Chapter 4 Logic
  54.    wt: 1:   Skills Chapter 3 Algebra
  55.    wt: 1:   Skills Chapter 2 Geometry
  56.    wt: 1:   Skills Chapter 1 Arithmetic
  57.    wt: 1:   Skills Chapter 0 Introduction
  58.    wt: 1:   7 logic review and decimals an odd combination
  59.    wt: 1:   5 logarithms and exponentials etc
  60.    wt: 1:   2 arithmetic with signed numbers
  61.    wt: 1:   1 arithmetic with unsigned numbers
  62.    wt: 1:   key notes and themes
  63.    wt: 1:   what should be learnt and When
  64.    wt: 1:   standards for course material
  65.    wt: 1:   Theory of Knowledge
  66.    wt: 1:   Education in mathematics science and technology
  67.    wt: 1:   Motivation and Context Problem
  68.    wt: 1:   fairness and inductive principles for instruction
  69.    wt: 1:   deux definitions pour variable
  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:   25 Absolute Value greatest integer and saw tooth functions
  88.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  89.    wt: 1:   19 Horizontal line rule and method
  90.    wt: 1:   18 Vertical Line Rule and Method
  91.    wt: 1:   17 Function maxima minima and their location
  92.    wt: 1:   11 Function Domain Range Source and Targets
  93.    wt: 1:   9 Set theory term relation possible origins
  94.    wt: 1:   8 Set view of relations and functions
  95.    wt: 1:   6 Set Existence Formation and Notation
  96.    wt: 1:   4 Function notation in and beyond mathematics
  97.    wt: 1:   9 quadratics physical and further context
  98.    wt: 1:   11 Growth and Decay in Biology
  99.    wt: 1:   10 Exponential Growth and Decay Models
  100.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  101.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  102.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  103.    wt: 1:   10 arctan left inverse of tangent Definition
  104.    wt: 1:   7 arcsin left inverse of sine Definition
  105.    wt: 1:   3 Left Inverse of cosine arccos definition
  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:   4 Similarity Definition with Coordinate
  153.    wt: 1:   10 Midpoint of [a b] and [b a]
  154.    wt: 1:   7 Exercises to test skill and concept mastery
  155.    wt: 1:   1 Numerical view of lines and their equations
  156.    wt: 1:   What is and is not here
  157.    wt: 1:   7 Complex Numbers Appetizer
  158.    wt: 1:   6 Polar Multiplication and Rotation
  159.    wt: 1:   5 Cartesian Addition and Translation
  160.    wt: 1:   4 Polar Coordinates to and from
  161.    wt: 1:   PS H Distributive Law For Complex Numbers
  162.    wt: 1:   16 Angles Subtended By Chords and Diameters
  163.    wt: 1:   6 Ruler and compass Angle Bisection
  164.    wt: 1:   1 Initial Concepts and Terms
  165.    wt: 1:   musings do not puiblish real numbers
  166.    wt: 1:   A Modular and Remainder Arithmetic
  167.    wt: 1:   A Signed Number Arithmetic Review
  168.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  169.    wt: 1:   22 Multiplication of Signed Numbers
  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:   1 Squares and Square Roots Introduction
  211.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  212.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  213.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  214.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  215.    wt: 1:   7 GCD and LCM from prime factorization
  216.    wt: 1:   4 LCM of 8 and 10 via Prime
  217.    wt: 1:   3 Counting with Tables and Trees II
  218.    wt: 1:   2 Counting with Tables and Trees I
  219.    wt: 1:   1 Counting and Counting Methods I
  220.    wt: 1:   10 dividing signed numbers
  221.    wt: 1:   9 subtracting signed numbers
  222.    wt: 1:   8 multiplying signed numbers
  223.    wt: 1:   7 negative and additive inverse
  224.    wt: 1:   6 adding signed numbers
  225.    wt: 1:   3 signed coordinates for maps and planes
  226.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  227.    wt: 1:   2 Equality and Units
  228.    wt: 1:   1 Addition and Subtraction with Units
  229.    wt: 1:   B Fractions and Two Term Ratios
  230.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  231.    wt: 1:   21 Reciprocals for Fractions and Wholes
  232.    wt: 1:   17 Efficient Ways to Add and Subtract
  233.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  234.    wt: 1:   14 Adding and Subtracting with Like Denominators
  235.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  236.    wt: 1:   6 Multiplication of Mixed Numbers
  237.    wt: 1:   11 Adding Integers Formulas and Examples
  238.    wt: 1:   8 Multiplication by Signed Numbers Integers
  239.    wt: 1:   6 Multiplication by Natural Numbers
  240.    wt: 1:   5 Zero Movement and Additive Inverses
  241.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  242.    wt: 1:   17 Identify and Count Factors using Primes
  243.    wt: 1:   12 LCD GCD and LCM using Primes
  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:   3 video Primes and Composites from 9 times table
  248.    wt: 1:   2 Prime and Composites less than 16
  249.    wt: 1:   Division with Counts and Length
  250.    wt: 1:   Long Division forwards and backwards Example 3
  251.    wt: 1:   Long Division forwards and backwards Example 2
  252.    wt: 1:   Long Division forwards and backwards Example 1
  253.    wt: 1:   10 Division by Five Long and Short Ways
  254.    wt: 1:   4 Two and Three Digit Multipliers
  255.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  256.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  257.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  258.    wt: 1:   11 Place Value SI Standard International way
  259.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  260.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  261.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  262.    wt: 1:   Exact Arithmetic Wholes and Fractions
  263.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  264.    wt: 1:   016 Numbering Occidental Calendar Days
  265.    wt: 1:   015 School and work day counting tables
  266.    wt: 1:   011 Division of Time Intervals By Numbers
  267.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  268.    wt: 1:   4 Mixing and Changing Units of Time
  269.    wt: 1:   3 Units and Lengths of Time
  270.    wt: 1:   2 Time and Date Matters in School
  271.    wt: 1:   1 Intro of Kids To Time Date Skills
  272.    wt: 1:   Example 1. Area Between x and x squared
  273.    wt: 1:   17 Derivatives of quotients of sine and cosine
  274.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  275.    wt: 1:   15 sine and cosine derivatives 3rd step
  276.    wt: 1:   14 sine and cosine derivatives 2nd step
  277.    wt: 1:   13 sine and cosine derivatives 1st step
  278.    wt: 1:   3 Motivation for Limit Definition Take 2
  279.    wt: 1:   2 Motivation for Limit Definition Take 1
  280.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  281.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  282.    wt: 1:   9 Limits Continuity and Composition
  283.    wt: 1:   5 Jumps and absence of unlimited error control
  284.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  285.    wt: 1:   PostScript For and Against Decimal Perspectives
  286.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  287.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  288.    wt: 1:   Chapter 22 Complex Numbers
  289.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  290.    wt: 1:   Chapter 12. Units and Slopes
  291.    wt: 1:   Chapter 10 Slopes and Units
  292.    wt: 1:   Chapter 7 Slopes and Velocity
  293.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  294.    wt: 1:   Chapter 2. Slopes and Ski Trails
  295.    wt: 1:   Appendix E. How To Study Mathematics and Why
  296.    wt: 1:   Appendix D. What to do in School and Why
  297.    wt: 1:   Chapter 31 Direct and Indirect Reason
  298.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  299.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  300.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  301.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  302.    wt: 1:   Chapter 20. Degrees and Radians
  303.    wt: 1:   Chapter 19. Functions and Sets
  304.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  305.    wt: 1:   Chapter 12. Shorthand Usage Guide
  306.    wt: 1:   Chapter 11. Why Shorthand
  307.    wt: 1:   Chapter 10 Describing and Changing Calculations
  308.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  309.    wt: 1:   Chapter 8 Three Skills For Algebra
  310.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  311.    wt: 1:   Chapter 2 For and Against Mathematics
  312.    wt: 1:   Postscript B More on Story Telling and Reason
  313.    wt: 1:   Chapter 24 Direct and Indirect Reason
  314.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  315.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  316.    wt: 1:   Chapter 18 Sense and Knowledge
  317.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  318.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  319.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  320.    wt: 1:   R Why Learn Mathematics Skills
  321.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  322.    wt: 1:   O On Learning Mathematics and Science
  323.    wt: 1:   L Skills with take home value
  324.    wt: 1:   N Improving Marks on Tests and Finals
  325.    wt: 1:   J. More on written work and showing skill
  326.    wt: 1:   H Jigsaw puzzles and problem solving
  327.    wt: 1:   G. Written work formats for developing and showing skill
  328.    wt: 1:   E. When and how to correct errors
  329.    wt: 1:   Chapter 8 Skipped Topics and Why
  330.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  331.    wt: 1:   Chapter 6 More Algebra and Geometry
  332.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  333.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  334.    wt: 1:   7 Games and Activities for Instruction
  335.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  336.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  337.    wt: 1:   Helping the Blind in Logic and Mathematics
  338.    wt: 1:   More Algebra and Slope based Calculus Preview
  339.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  340.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  341.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  342.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  343.    wt: 1:   The Math Forum and Site Content

Extended Search

710 matches:

  1.    wt: 9:   1 More and Less Than for Counts and Measures
  2.    wt: 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:   11 Adding Integers Formulas and Examples
  95.    wt: 6:   8 Multiplication by Signed Numbers Integers
  96.    wt: 6:   6 Multiplication by Natural Numbers
  97.    wt: 6:   5 Zero Movement and Additive Inverses
  98.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  99.    wt: 6:   26 Divisibility by 2 3 5 Example
  100.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  101.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  102.    wt: 6:   23 Remainder Arithmetic Modulo 2
  103.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  104.    wt: 6:   21 Remainder Arithmetic Modulo 3
  105.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  106.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  107.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  108.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  109.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  110.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  111.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  112.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  113.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  114.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  115.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  116.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  117.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  118.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  119.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  120.    wt: 6:   5 Remainder Arithmetic Modulo 5
  121.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  122.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  123.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  124.    wt: 6:   1 Remainder Arithmetic Modulo 10
  125.    wt: 6:   20 Uniqueness of Prime Factorization
  126.    wt: 6:   19 video Prime Factorization Unique
  127.    wt: 6:   18 video Count Factors given Prime Factorization
  128.    wt: 6:   16 video Factors of 980 using prime
  129.    wt: 6:   15 video Factors of 20 using Prime Factorization
  130.    wt: 6:   14 video Factors of 24 Take II
  131.    wt: 6:   13 video Factors of 24 using prime
  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:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  224.    wt: 3:   11 Signed Number Addition and Addition Properties
  225.    wt: 3:   2 Combing Counts Addition Skills and Principles
  226.    wt: 3:   2 More and Less Than for Counts and Measures
  227.    wt: 3:   10 Real Number Lengths and Signs
  228.    wt: 3:   1 Whole and Natural Numbers
  229.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  230.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  231.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  232.    wt: 3:   I. Logic and language skills
  233.    wt: 3:   How to Build Skills and Confidence
  234.    wt: 3:   7 Games and Activities for Instruction
  235.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  236.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  237.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  238.    wt: 2:   Ramblings Extrinsic numbers theory
  239.    wt: 2:   2 Reading and Writing Skills
  240.    wt: 2:   Ages 12 to 14 Skills with take home value
  241.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  242.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  243.    wt: 2:   26 Function definitions done and coming
  244.    wt: 2:   16 cotangent function Definition Graph and Inverse
  245.    wt: 2:   15 cosecant function Definition Graph and Inverse
  246.    wt: 2:   14 secant function Definition Graph and Inverse
  247.    wt: 2:   13 cosecant function Definition Graph and Inverse
  248.    wt: 2:   9 Summary Degrees to Radians and back
  249.    wt: 2:   1 Degrees and Radians Introduction
  250.    wt: 2:   Vector and Complex Number Applet
  251.    wt: 2:   Parallel Lines and Parallel Transversals
  252.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  253.    wt: 2:   Parallel Lines and Interior Angles
  254.    wt: 2:   14 cosine even and sine and tangent are odd
  255.    wt: 2:   21 Logarithms Powers and Exponentials
  256.    wt: 2:   20 N th Roots of Complex Numbers
  257.    wt: 2:   16 References and Originality Question
  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:   PS H Distributive Law For Complex Numbers
  274.    wt: 2:   16 Angles Subtended By Chords and Diameters
  275.    wt: 2:   6 Ruler and compass Angle Bisection
  276.    wt: 2:   1 Initial Concepts and Terms
  277.    wt: 2:   3 Lengths and Areas on Maps and Plans
  278.    wt: 2:   musings do not puiblish real numbers
  279.    wt: 2:   A Modular and Remainder Arithmetic
  280.    wt: 2:   A Signed Number Arithmetic Review
  281.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  282.    wt: 2:   22 Multiplication of Signed Numbers
  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:   5 Distributive Law for Whole Numbers
  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:   deux definitions pour variable
  381.    wt: 1:   Home Tutoring and Home Schooling
  382.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  383.    wt: 1:   24 Standards For Skill Develoment Take II
  384.    wt: 1:   24 Standards For Skill Develoment
  385.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  386.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  387.    wt: 1:   17 Math Booklets for children and young teenagers
  388.    wt: 1:   14 Multiplication and Times Tables
  389.    wt: 1:   13 Addition and Addition Tables
  390.    wt: 1:   12 Goals and Objectives For Mathematics
  391.    wt: 1:   11 Help and Defend Your Child or Teens Education
  392.    wt: 1:   5 Patience Please for Yourself and Your Charges
  393.    wt: 1:   4 Learning Takes Time and Effort
  394.    wt: 1:   1 Speaking Skills
  395.    wt: 1:   Ages 12 to 14 Geometry
  396.    wt: 1:   Ages 12 to 14 Arithmetic
  397.    wt: 1:   Ages 10 to 12 Geometry
  398.    wt: 1:   Ages 10 to 12 Arithmetic
  399.    wt: 1:   Ages 9 to 10
  400.    wt: 1:   Ages 8 to 9
  401.    wt: 1:   Ages 7 to 8
  402.    wt: 1:   Ages 6 to 7
  403.    wt: 1:   Ages 4 plus to 5 plus
  404.    wt: 1:   Ages 3 plus to 4 plus
  405.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  406.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  407.    wt: 1:   19 Horizontal line rule and method
  408.    wt: 1:   18 Vertical Line Rule and Method
  409.    wt: 1:   17 Function maxima minima and their location
  410.    wt: 1:   11 Function Domain Range Source and Targets
  411.    wt: 1:   9 Set theory term relation possible origins
  412.    wt: 1:   8 Set view of relations and functions
  413.    wt: 1:   6 Set Existence Formation and Notation
  414.    wt: 1:   4 Function notation in and beyond mathematics
  415.    wt: 1:   9 quadratics physical and further context
  416.    wt: 1:   11 Growth and Decay in Biology
  417.    wt: 1:   10 Exponential Growth and Decay Models
  418.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  419.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  420.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  421.    wt: 1:   10 arctan left inverse of tangent Definition
  422.    wt: 1:   7 arcsin left inverse of sine Definition
  423.    wt: 1:   3 Left Inverse of cosine arccos definition
  424.    wt: 1:   8 Radian Measures of Common Angles
  425.    wt: 1:   7 Radian Measures in special Triangles
  426.    wt: 1:   6 Radian Measure to Degrees
  427.    wt: 1:   5 Degrees to Radian Measure
  428.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  429.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  430.    wt: 1:   2 Radian Measure Numerical Value of one degree
  431.    wt: 1:   A Global Time and Navigation
  432.    wt: 1:   15 Dot and Cross Product
  433.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  434.    wt: 1:   4 graphing y=Asin(x c)
  435.    wt: 1:   3 graphing y=f(x c) plus K
  436.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  437.    wt: 1:   1 graphing y=f(x a)
  438.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  439.    wt: 1:   Triangle Angles Sum To 180 Degrees
  440.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  441.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  442.    wt: 1:   Straight Lines ASA Intersection Study More
  443.    wt: 1:   Straight Lines ASA Intersection Study
  444.    wt: 1:   Straight Lines Instersection Solving Equations
  445.    wt: 1:   Straight Lines Intersection of
  446.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  447.    wt: 1:   C Straight Lines Slope from Coordinates
  448.    wt: 1:   B Straight Line Slope Scaling Properties More
  449.    wt: 1:   A Straight Line Slope Scaling Properties
  450.    wt: 1:   14 Straight Lines Equations General Case
  451.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  452.    wt: 1:   12 Straight Lines Graphing mx plus b
  453.    wt: 1:   11 Straight Lines Graphing y=mx
  454.    wt: 1:   10 Straight Lines through Origin Equations More
  455.    wt: 1:   9 Straight Lines through Origin Equations
  456.    wt: 1:   8 Straight Lines Equation for vertical
  457.    wt: 1:   7 Tangent Function is odd on this domain
  458.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  459.    wt: 1:   5 Tangent Function Graph
  460.    wt: 1:   4 Tangent Function Properties
  461.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  462.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  463.    wt: 1:   1 Straight Lines Slope Concept
  464.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  465.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  466.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  467.    wt: 1:   29 secant cosecant and cotangent for acute angles
  468.    wt: 1:   27 Logarithmic use of products of sines and cosines
  469.    wt: 1:   26 Formulas for products of sines and cosines
  470.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  471.    wt: 1:   21 sine and cosine Half Angle Formulas
  472.    wt: 1:   20 sine and cosine Double Angle Formulas
  473.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  474.    wt: 1:   17E Trig Formulas for dot and cross Products
  475.    wt: 1:   17D cis formulas for sine cosines and tangent
  476.    wt: 1:   17C sine and cosine double triple angle formulas
  477.    wt: 1:   17A The complex number valued trig function cis
  478.    wt: 1:   10 Graphs of sines and cosines many periods
  479.    wt: 1:   9 Graphs of sine and cosine over one period
  480.    wt: 1:   7 period of sine and cosine
  481.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  482.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  483.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  484.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  485.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  486.    wt: 1:   19 N th Roots of Unity
  487.    wt: 1:   18 Sixth Roots of Unity
  488.    wt: 1:   17 Cube Roots of unity
  489.    wt: 1:   15 Pythagorean Theorem Converse
  490.    wt: 1:   14 Law of cosines
  491.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  492.    wt: 1:   8 Unit Circle Development of Trigonometry
  493.    wt: 1:   7 Second Way to Calculate Products
  494.    wt: 1:   5 An Easy Proof of the Distributive Law
  495.    wt: 1:   4 Multiplication Properties
  496.    wt: 1:   3 Addition Properties
  497.    wt: 1:   1 Rectangular Polar Coordinates Review
  498.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  499.    wt: 1:   3 Trigonometric Ratios sine and cosine
  500.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  501.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  502.    wt: 1:   8 Similarity of Triangles and Polygons
  503.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  504.    wt: 1:   4 Similarity Definition with Coordinate
  505.    wt: 1:   Four Simple Exercises
  506.    wt: 1:   12 Links Lessons elsewhere
  507.    wt: 1:   11 A Partial Summary
  508.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  509.    wt: 1:   8 Mid Point Formula
  510.    wt: 1:   6 Intersection of lines by solving linear systems
  511.    wt: 1:   5 Algebraic View of Slopes
  512.    wt: 1:   4 Equations for lines three forms
  513.    wt: 1:   3 Slope product for perpendicular lines
  514.    wt: 1:   2 point slope equation for a line
  515.    wt: 1:   13 Pythagorean spatial distance formulas
  516.    wt: 1:   12 Spatial Coordinates
  517.    wt: 1:   11 Triangle Inequality
  518.    wt: 1:   10 Pythagorean plane distance formula
  519.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  520.    wt: 1:   8 Distance Between Points on a Line
  521.    wt: 1:   3 Rectangular Coordinates Review
  522.    wt: 1:   2 Cartesian Coordinates with signs
  523.    wt: 1:   1 Cartesian Coordinates sans signs
  524.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  525.    wt: 1:   PS G Rotation Distributes over Addition
  526.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  527.    wt: 1:   PS E Multiplication with Polar Coordinates
  528.    wt: 1:   PS D Addition with Cartesian Coordinates
  529.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  530.    wt: 1:   PS B Parallelogram Construction Methods
  531.    wt: 1:   PS A Kite Construction Methods
  532.    wt: 1:   21 Parallelograms
  533.    wt: 1:   19 Right Triangle Similarity
  534.    wt: 1:   18 Triangle Similarity Take 1
  535.    wt: 1:   17 Right Bisectors of Triangle Sides
  536.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  537.    wt: 1:   14 Parallel Lines Postulate
  538.    wt: 1:   13 Angle Side Angle Failure
  539.    wt: 1:   12 Side Angle Side Failure
  540.    wt: 1:   11 Triangle Construction Fails
  541.    wt: 1:   10 Dropping a perpendicular to line
  542.    wt: 1:   9 Construction of a right bisector
  543.    wt: 1:   8 Isoceles Triangles
  544.    wt: 1:   7 Angle Side Angle
  545.    wt: 1:   5 Side Angle Side
  546.    wt: 1:   4 Side Side Side
  547.    wt: 1:   3 Isometry of Triangles Congruence
  548.    wt: 1:   2 Correspondence between Triangles
  549.    wt: 1:   Short Course on Euclidean Geometry
  550.    wt: 1:   26 More Less Greater Than Comparison
  551.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  552.    wt: 1:   23 Distributive Law Two Derivations
  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:   4 Commutative Law Groups Counting Form
  575.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  576.    wt: 1:   5 Proportionality in Equivalent Fractions
  577.    wt: 1:   3 Proportionality Examples
  578.    wt: 1:   2 Algebraic View
  579.    wt: 1:   1 What is Proportionality
  580.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  581.    wt: 1:   6 Compound Interest Forward and Backwards
  582.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  583.    wt: 1:   5 Equality in Algebra
  584.    wt: 1:   3 Product Axioms Two Forms
  585.    wt: 1:   1 Equivalent Computation Rules
  586.    wt: 1:   5 Greater More Less Than Signs in General
  587.    wt: 1:   9 Coordinates for Regions in Space
  588.    wt: 1:   3 Fractions
  589.    wt: 1:   2 Integers
  590.    wt: 1:   5 Independent versus Dependent Variables
  591.    wt: 1:   4 Changing Letters
  592.    wt: 1:   2 Computation Rules Evaluation
  593.    wt: 1:   3 GE III Equation Addition and Multiplication
  594.    wt: 1:   Skill Development Notes
  595.    wt: 1:   10 One Example
  596.    wt: 1:   9 Three Examples
  597.    wt: 1:   8 One Example
  598.    wt: 1:   7 Two Examples
  599.    wt: 1:   6 Three Examples
  600.    wt: 1:   5 Three Examples
  601.    wt: 1:   4 Two Examples
  602.    wt: 1:   3 Two Examples
  603.    wt: 1:   2 Three Examples
  604.    wt: 1:   1 Written work formats for developing and showing skill
  605.    wt: 1:   9 Sets in Probability and Statistics
  606.    wt: 1:   8 Sets of Numbers
  607.    wt: 1:   1 Three Skills For Algebra
  608.    wt: 1:   014 Counting Days with Calendars
  609.    wt: 1:   013 Travel Time Tables
  610.    wt: 1:   012 Division of Time Intervals by Time Intervals
  611.    wt: 1:   010 Repeated Addition of Time Intervals
  612.    wt: 1:   8 Addition of Time Intervals via subtotaling
  613.    wt: 1:   7 Addition of Time Intervals
  614.    wt: 1:   6 How long is a million seconds
  615.    wt: 1:   5 Conversion Arithmetic
  616.    wt: 1:   Example 2 volume of a cone
  617.    wt: 1:   Example 1 volume of a pyramid
  618.    wt: 1:   Volume of Solid by Cross Sections Lesson
  619.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  620.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  621.    wt: 1:   Example 4 with x function of y
  622.    wt: 1:   Example 3
  623.    wt: 1:   Example 2
  624.    wt: 1:   Example 1
  625.    wt: 1:   Area Between Curves Lesson Take 2
  626.    wt: 1:   Area Between Curves Lesson Take 1
  627.    wt: 1:   Summary
  628.    wt: 1:   17 Derivatives of quotients of sine and cosine
  629.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  630.    wt: 1:   15 sine and cosine derivatives 3rd step
  631.    wt: 1:   14 sine and cosine derivatives 2nd step
  632.    wt: 1:   13 sine and cosine derivatives 1st step
  633.    wt: 1:   3 Motivation for Limit Definition Take 2
  634.    wt: 1:   2 Motivation for Limit Definition Take 1
  635.    wt: 1:   11 Limits at infinity Three Examples
  636.    wt: 1:   10 Three one sided limits with infinite values
  637.    wt: 1:   8 Four Animated Examples
  638.    wt: 1:   7 Evaluation by immediate or delayed substitution
  639.    wt: 1:   6 Continuity at a point
  640.    wt: 1:   4 Numerical properties
  641.    wt: 1:   3 Decimal insights for limits continuity convergence
  642.    wt: 1:   2 Algebraic codification
  643.    wt: 1:   1 Numerical introduction
  644.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  645.    wt: 1:   PostScript For and Against Decimal Perspectives
  646.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  647.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  648.    wt: 1:   Chapter 22 Complex Numbers
  649.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  650.    wt: 1:   Chapter 12. Units and Slopes
  651.    wt: 1:   Chapter 10 Slopes and Units
  652.    wt: 1:   Chapter 7 Slopes and Velocity
  653.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  654.    wt: 1:   Chapter 2. Slopes and Ski Trails
  655.    wt: 1:   Postscript More on Better Performance
  656.    wt: 1:   Postscript For Better Performance
  657.    wt: 1:   Appendix C. How to Read
  658.    wt: 1:   Appendix B. How To Learn
  659.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  660.    wt: 1:   Chapter 30 Truth Tables
  661.    wt: 1:   Chapter 28 Occurrence Tables
  662.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  663.    wt: 1:   Chapter 25. Mathematical Induction Examples
  664.    wt: 1:   Chapter 23. Notation For Sums
  665.    wt: 1:   Chapter 21. Third Reading Guide
  666.    wt: 1:   Chapter 18. Rules for Algebra
  667.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  668.    wt: 1:   Chapter 16. Painless Theorem Proving
  669.    wt: 1:   Chapter 15. Solving Linear Equations
  670.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  671.    wt: 1:   Chapter 13. Second Reading Guide
  672.    wt: 1:   Postscript What is a Variable
  673.    wt: 1:   Solutions For Arithmetic Exercises
  674.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  675.    wt: 1:   Chapter 6 Change of Language
  676.    wt: 1:   Chapter 4 Longer Chains of Reason
  677.    wt: 1:   Chapter 3 Chains of Reason
  678.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  679.    wt: 1:   Foreword
  680.    wt: 1:   Chapter 2 For and Against Mathematics
  681.    wt: 1:   Postscript B More on Story Telling and Reason
  682.    wt: 1:   Chapter 24 Direct and Indirect Reason
  683.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  684.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  685.    wt: 1:   Chapter 18 Sense and Knowledge
  686.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  687.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  688.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  689.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  690.    wt: 1:   S Adding words to algebra
  691.    wt: 1:   N Mathematics Prepare for College Studies
  692.    wt: 1:   M Words to extend arithmetic
  693.    wt: 1:   H more Routine to non routine problem solving
  694.    wt: 1:   F. The student teacher tutor feedback loop
  695.    wt: 1:   D. Check work a must with a caution
  696.    wt: 1:   C. Domino effect of being careful
  697.    wt: 1:   B. Domino effect of errors
  698.    wt: 1:   A. Skill has to be seen to believed
  699.    wt: 1:   Chapter 8 Skipped Topics and Why
  700.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  701.    wt: 1:   Chapter 6 More Algebra and Geometry
  702.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  703.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  704.    wt: 1:   Helping the Blind in Logic and Mathematics
  705.    wt: 1:   More Algebra and Slope based Calculus Preview
  706.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  707.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  708.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  709.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  710.    wt: 1:   The Math Forum and Site Content

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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 bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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