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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49 matches:

  1.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  2.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 2:   11 Squares and Square Roots/
  4.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  5.    wt: 2:   9 Combinatorics Trees Tables and Products/
  6.    wt: 2:   7 Arithmetic and Fractions with Units/
  7.    wt: 2:   6 Fractions and Ratios/
  8.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 2:   D Decimal Long Division Methods/
  10.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 2:   A Decimal Counting and Adding Methods/
  12.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  13.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  14.    wt: 1:   LAMP Lean Applied Mathematics Program/
  15.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  16.    wt: 1:   Mathematics Education Essays/
  17.    wt: 1:   Volume 1A Regles et modeles/
  18.    wt: 1:   Mathematics Skills Year by Year/
  19.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  20.    wt: 1:   12 Function Translating and Rescaling/
  21.    wt: 1:   11 Parallel Straight Lines and Transversals/
  22.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  23.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  24.    wt: 1:   4 Lines and Slopes Take 1/
  25.    wt: 1:   3 Cartesian and Polar Coordinates/
  26.    wt: 1:   A Origins of Counting and Figuring Methods/
  27.    wt: 1:   9 Proportionality Backwards and Forwards/
  28.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  29.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  30.    wt: 1:   4 Computation Rules and Function Notation/
  31.    wt: 1:   Step 1 Stick diagram and fractions/
  32.    wt: 1:   8 Arithmetic with Signed Numbers/
  33.    wt: 1:   5 Integers/
  34.    wt: 1:   3 Prime Factorization Skills/
  35.    wt: 1:   C Decimal Multiplication Methods/
  36.    wt: 1:   2 Arithmetic with Decimals/
  37.    wt: 1:   1 Decimal Place Value/
  38.    wt: 1:   Arithmetic and Number Theory Skills/
  39.    wt: 1:   13 Lessons on Limits and Continuity/
  40.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  41.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  42.    wt: 1:   Volume 2 Three Skills For Algebra/
  43.    wt: 1:   Volume 1A Pattern Based Reason/
  44.    wt: 1:   Volume 1 Elements of Reason/
  45.    wt: 1:   Work and Study Tips/
  46.    wt: 1:   Resources and Reciprocal Links/
  47.    wt: 1:   Mathematics 506 Lessons/
  48.    wt: 1:   Secondary Mathematics A Practical Approach/
  49.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

335 matches:

  1.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  2.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  3.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  4.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  5.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  6.    wt: 2:   key notes and themes
  7.    wt: 2:   mathematics curriculum shifts
  8.    wt: 2:   04 29 New Mathematics Curriculum
  9.    wt: 2:   Education in mathematics science and technology
  10.    wt: 2:   need for a mixed mathematics curriculum
  11.    wt: 2:   Leaner mathematics curriculum
  12.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  13.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  14.    wt: 2:   12 Goals and Objectives For Mathematics
  15.    wt: 2:   4 Function notation in and beyond mathematics
  16.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  17.    wt: 2:   14 cosine even and sine and tangent are odd
  18.    wt: 2:   3 Lengths and Areas on Maps and Plans
  19.    wt: 2:   8 Division and Mulplication of Compound Fractions
  20.    wt: 2:   4 Subtraction and Division Axioms
  21.    wt: 2:   2 More and Less Than for Counts and Measures
  22.    wt: 2:   1 More and Less Than for Counts and Measures
  23.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  24.    wt: 2:   21 Reciprocals for Fractions and Wholes
  25.    wt: 2:   7 Calculator Usage Notes and Cautions
  26.    wt: 2:   Division with Counts and Length
  27.    wt: 2:   Long Division forwards and backwards Example 3
  28.    wt: 2:   Long Division forwards and backwards Example 2
  29.    wt: 2:   Long Division forwards and backwards Example 1
  30.    wt: 2:   10 Division by Five Long and Short Ways
  31.    wt: 2:   6. Counting and adding units and mixed units
  32.    wt: 2:   38 Formulas and derivatives for powers and roots
  33.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  34.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  35.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  36.    wt: 2:   Appendix E. How To Study Mathematics and Why
  37.    wt: 2:   Chapter 2 For and Against Mathematics
  38.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  39.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  40.    wt: 2:   O On Learning Mathematics and Science
  41.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  42.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  43.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  44.    wt: 2:   Helping the Blind in Logic and Mathematics
  45.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  46.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  47.    wt: 1:   Appendix 1 primary and preschool mathematic
  48.    wt: 1:   E LAMP Introduction Modern Mathematics
  49.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  50.    wt: 1:   11 pure mathematics
  51.    wt: 1:   7 logic review and decimals an odd combination
  52.    wt: 1:   5 logarithms and exponentials etc
  53.    wt: 1:   Mathematics Education Professors
  54.    wt: 1:   what should be learnt and When
  55.    wt: 1:   mathematics in context
  56.    wt: 1:   Secondary Three Mathematics
  57.    wt: 1:   Secondary Two Mathematics
  58.    wt: 1:   Secondary One Mathematics
  59.    wt: 1:   three goals for Mathematics Education
  60.    wt: 1:   02 20 mathematics education references
  61.    wt: 1:   three aims for mathematics students
  62.    wt: 1:   standards for course material
  63.    wt: 1:   mathematics instruction in general
  64.    wt: 1:   three kinds of reason in mathematics
  65.    wt: 1:   Motivation and Context Problem
  66.    wt: 1:   fairness and inductive principles for instruction
  67.    wt: 1:   words for mathematics instructor
  68.    wt: 1:   chapitre 12 00 les iles et division
  69.    wt: 1:   Home Tutoring and Home Schooling
  70.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  71.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  72.    wt: 1:   24 Standards For Skill Develoment Take II
  73.    wt: 1:   24 Standards For Skill Develoment
  74.    wt: 1:   22 Student Centered Highschool Mathematics
  75.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  76.    wt: 1:   18 Primary School Mathematics
  77.    wt: 1:   17 Math Booklets for children and young teenagers
  78.    wt: 1:   16 Secondary Mathematics Tips
  79.    wt: 1:   14 Multiplication and Times Tables
  80.    wt: 1:   13 Addition and Addition Tables
  81.    wt: 1:   11 Help and Defend Your Child or Teens Education
  82.    wt: 1:   5 Patience Please for Yourself and Your Charges
  83.    wt: 1:   4 Learning Takes Time and Effort
  84.    wt: 1:   2 Reading and Writing Skills
  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:   8 Set view of relations and functions
  95.    wt: 1:   6 Set Existence Formation and Notation
  96.    wt: 1:   9 quadratics physical and further context
  97.    wt: 1:   11 Growth and Decay in Biology
  98.    wt: 1:   10 Exponential Growth and Decay Models
  99.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  100.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  101.    wt: 1:   8 Notes for instructors or tutors
  102.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  103.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  104.    wt: 1:   4 Polynomials Long division linear divisor
  105.    wt: 1:   16 cotangent function Definition Graph and Inverse
  106.    wt: 1:   15 cosecant function Definition Graph and Inverse
  107.    wt: 1:   14 secant function Definition Graph and Inverse
  108.    wt: 1:   13 cosecant function Definition Graph and Inverse
  109.    wt: 1:   9 Summary Degrees to Radians and back
  110.    wt: 1:   1 Degrees and Radians Introduction
  111.    wt: 1:   A Global Time and Navigation
  112.    wt: 1:   15 Dot and Cross Product
  113.    wt: 1:   12 From Applied To Pure Mathematics
  114.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  115.    wt: 1:   Vector and Complex Number Applet
  116.    wt: 1:   Parallel Lines and Parallel Transversals
  117.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  118.    wt: 1:   Parallel Lines and Interior Angles
  119.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  120.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  121.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  122.    wt: 1:   29 secant cosecant and cotangent for acute angles
  123.    wt: 1:   27 Logarithmic use of products of sines and cosines
  124.    wt: 1:   26 Formulas for products of sines and cosines
  125.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  126.    wt: 1:   21 sine and cosine Half Angle Formulas
  127.    wt: 1:   20 sine and cosine Double Angle Formulas
  128.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  129.    wt: 1:   17E Trig Formulas for dot and cross Products
  130.    wt: 1:   17D cis formulas for sine cosines and tangent
  131.    wt: 1:   17C sine and cosine double triple angle formulas
  132.    wt: 1:   10 Graphs of sines and cosines many periods
  133.    wt: 1:   9 Graphs of sine and cosine over one period
  134.    wt: 1:   7 period of sine and cosine
  135.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  136.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  137.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  138.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  139.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  140.    wt: 1:   21 Logarithms Powers and Exponentials
  141.    wt: 1:   16 References and Originality Question
  142.    wt: 1:   13 Trig Formulas for dot and cross Products
  143.    wt: 1:   12 cis formulas for sine cosines and tangent
  144.    wt: 1:   11 sine and cosine double triple angle formulas
  145.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  146.    wt: 1:   3 Trigonometric Ratios sine and cosine
  147.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  148.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  149.    wt: 1:   8 Similarity of Triangles and Polygons
  150.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  151.    wt: 1:   10 Midpoint of [a b] and [b a]
  152.    wt: 1:   7 Exercises to test skill and concept mastery
  153.    wt: 1:   1 Numerical view of lines and their equations
  154.    wt: 1:   What is and is not here
  155.    wt: 1:   6 Polar Multiplication and Rotation
  156.    wt: 1:   5 Cartesian Addition and Translation
  157.    wt: 1:   4 Polar Coordinates to and from
  158.    wt: 1:   16 Angles Subtended By Chords and Diameters
  159.    wt: 1:   6 Ruler and compass Angle Bisection
  160.    wt: 1:   1 Initial Concepts and Terms
  161.    wt: 1:   A Modular and Remainder Arithmetic
  162.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  163.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  164.    wt: 1:   13 Arrows and Vectors in a Plane
  165.    wt: 1:   11 Signed Number Addition and Addition Properties
  166.    wt: 1:   9 Division with Digits after Decimal Point
  167.    wt: 1:   E Long Division Methods more
  168.    wt: 1:   D Long Division Methods
  169.    wt: 1:   B Decimal Comparison and Subtraction
  170.    wt: 1:   2 Combing Counts Addition Skills and Principles
  171.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  172.    wt: 1:   4 Rates Ratios and Proporitionality
  173.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  174.    wt: 1:   6 Compound Interest Forward and Backwards
  175.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  176.    wt: 1:   6 Equations and Systems Equivalent or Implied
  177.    wt: 1:   2 Addition and Multiplication Axioms
  178.    wt: 1:   3 More and Less Than with Unlike Signs
  179.    wt: 1:   15 Real Number Division
  180.    wt: 1:   10 Real Number Lengths and Signs
  181.    wt: 1:   8 Coordinates for Maps and Planes
  182.    wt: 1:   1 Whole and Natural Numbers
  183.    wt: 1:   3 Geometric Formulas and Function Notation
  184.    wt: 1:   1 Formulas Dependence and Function Notation
  185.    wt: 1:   3 GE III Equation Addition and Multiplication
  186.    wt: 1:   Skill Development Notes
  187.    wt: 1:   11 Volume of Sphere
  188.    wt: 1:   10 Volume of Pyramid
  189.    wt: 1:   9 Volume of Cone
  190.    wt: 1:   5 Box Volume Formula Example
  191.    wt: 1:   1 Written work formats for developing and showing skill
  192.    wt: 1:   9 Sets in Probability and Statistics
  193.    wt: 1:   5 Talking about Numbers and Quantities
  194.    wt: 1:   4 A Brief Story of numbers and algebra
  195.    wt: 1:   2 More and Less Than with Unlike Signs
  196.    wt: 1:   1 Squares and Square Roots Introduction
  197.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  198.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  199.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  200.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  201.    wt: 1:   7 GCD and LCM from prime factorization
  202.    wt: 1:   4 LCM of 8 and 10 via Prime
  203.    wt: 1:   3 Counting with Tables and Trees II
  204.    wt: 1:   2 Counting with Tables and Trees I
  205.    wt: 1:   1 Counting and Counting Methods I
  206.    wt: 1:   11 What are real lengths and numbers
  207.    wt: 1:   7 negative and additive inverse
  208.    wt: 1:   5 lengths and signs of numbers
  209.    wt: 1:   3 signed coordinates for maps and planes
  210.    wt: 1:   2 signed and unsigned numbers as coordinates
  211.    wt: 1:   3 Multiplying Units and Numbers
  212.    wt: 1:   2 Equality and Units
  213.    wt: 1:   1 Addition and Subtraction with Units
  214.    wt: 1:   B Fractions and Two Term Ratios
  215.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  216.    wt: 1:   17 Efficient Ways to Add and Subtract
  217.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  218.    wt: 1:   14 Adding and Subtracting with Like Denominators
  219.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  220.    wt: 1:   9 Improper Fractions and Mixed Numbers
  221.    wt: 1:   B Integer Long Division Multiple Choices
  222.    wt: 1:   11 Adding Integers Formulas and Examples
  223.    wt: 1:   5 Zero Movement and Additive Inverses
  224.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  225.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  226.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  227.    wt: 1:   17 Identify and Count Factors using Primes
  228.    wt: 1:   12 LCD GCD and LCM using Primes
  229.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  230.    wt: 1:   5 Prime Factorization and a Square Rule
  231.    wt: 1:   3 video Primes and Composites from 9 times table
  232.    wt: 1:   2 Prime and Composites less than 16
  233.    wt: 1:   Long Division Backwards more
  234.    wt: 1:   Long Division Backward
  235.    wt: 1:   12 Why Long Division Works Take III
  236.    wt: 1:   9 Why Long Division Works Take II
  237.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  238.    wt: 1:   5 Long Division Include Zeroes or not
  239.    wt: 1:   4 Division with 2 Digit Divsors
  240.    wt: 1:   3 Division Single Digit Divisor Example
  241.    wt: 1:   2 Division with Single Digit Divisors
  242.    wt: 1:   4 Two and Three Digit Multipliers
  243.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  244.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  245.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  246.    wt: 1:   8 What skills and work habits to require
  247.    wt: 1:   11 Place Value SI Standard International way
  248.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  249.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  250.    wt: 1:   Quick history of numbers and algebra
  251.    wt: 1:   Exact Arithmetic Wholes and Fractions
  252.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  253.    wt: 1:   015 School and work day counting tables
  254.    wt: 1:   012 Division of Time Intervals by Time Intervals
  255.    wt: 1:   011 Division of Time Intervals By Numbers
  256.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  257.    wt: 1:   4 Mixing and Changing Units of Time
  258.    wt: 1:   3 Units and Lengths of Time
  259.    wt: 1:   2 Time and Date Matters in School
  260.    wt: 1:   Example 2 volume of a cone
  261.    wt: 1:   Example 1 volume of a pyramid
  262.    wt: 1:   Volume of Solid by Cross Sections Lesson
  263.    wt: 1:   Example 1. Area Between x and x squared
  264.    wt: 1:   A Related Material in Volume 3
  265.    wt: 1:   A Related lessons in Volume 3
  266.    wt: 1:   17 Derivatives of quotients of sine and cosine
  267.    wt: 1:   15 sine and cosine derivatives 3rd step
  268.    wt: 1:   14 sine and cosine derivatives 2nd step
  269.    wt: 1:   13 sine and cosine derivatives 1st step
  270.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  271.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  272.    wt: 1:   9 Limits Continuity and Composition
  273.    wt: 1:   5 Jumps and absence of unlimited error control
  274.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  275.    wt: 1:   PostScript For and Against Decimal Perspectives
  276.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  277.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  278.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  279.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  280.    wt: 1:   Chapter 12. Units and Slopes
  281.    wt: 1:   Chapter 10 Slopes and Units
  282.    wt: 1:   Chapter 7 Slopes and Velocity
  283.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  284.    wt: 1:   Chapter 2. Slopes and Ski Trails
  285.    wt: 1:   Appendix D. What to do in School and Why
  286.    wt: 1:   Chapter 31 Direct and Indirect Reason
  287.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  288.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  289.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  290.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  291.    wt: 1:   Chapter 20. Degrees and Radians
  292.    wt: 1:   Chapter 19. Functions and Sets
  293.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  294.    wt: 1:   Chapter 12. Shorthand Usage Guide
  295.    wt: 1:   Chapter 11. Why Shorthand
  296.    wt: 1:   Chapter 10 Describing and Changing Calculations
  297.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  298.    wt: 1:   Postscript B Mathematics Education References
  299.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  300.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  301.    wt: 1:   Postscript B More on Story Telling and Reason
  302.    wt: 1:   Chapter 24 Direct and Indirect Reason
  303.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  304.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  305.    wt: 1:   Chapter 18 Sense and Knowledge
  306.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  307.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  308.    wt: 1:   R Why Learn Mathematics Skills
  309.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  310.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  311.    wt: 1:   N Mathematics Prepare for College Studies
  312.    wt: 1:   N Improving Marks on Tests and Finals
  313.    wt: 1:   J. More on written work and showing skill
  314.    wt: 1:   I. Logic and language skills
  315.    wt: 1:   H Jigsaw puzzles and problem solving
  316.    wt: 1:   G. Written work formats for developing and showing skill
  317.    wt: 1:   E. When and how to correct errors
  318.    wt: 1:   How to Build Skills and Confidence
  319.    wt: 1:   Chapter 8 Skipped Topics and Why
  320.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  321.    wt: 1:   Chapter 6 More Algebra and Geometry
  322.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  323.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  324.    wt: 1:   7 Games and Activities for Instruction
  325.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  326.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  327.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  328.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  329.    wt: 1:   Mathematics Education References
  330.    wt: 1:   Mathematics Education References
  331.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  332.    wt: 1:   Implementation Notes
  333.    wt: 1:   More Algebra and Slope based Calculus Preview
  334.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  335.    wt: 1:   The Math Forum and Site Content

Extended Search

805 matches:

  1.    wt: 8:   Chapter 2 For and Against Mathematics
  2.    wt: 7:   Postscript B Mathematics Education References
  3.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  4.    wt: 7:   Chapter 4 Complex Numbers and Why Slopes
  5.    wt: 6:   Annotated Links to Material Elsehwere
  6.    wt: 6:   Postscript A Three Remarks
  7.    wt: 6:   Chapter 12 Four Phases
  8.    wt: 6:   Chapter 11 Elementary Instruction
  9.    wt: 6:   Chapter 10 Transition
  10.    wt: 6:   Chapter 9 The Two Ends
  11.    wt: 6:   Chapter 8 Modern Instruction
  12.    wt: 6:   Chapter 7 Two Treatments of Geometry
  13.    wt: 6:   Chapter 5 Four References
  14.    wt: 6:   Chapter 3 Algebra Difficulties
  15.    wt: 6:   Chapter 1 Introduction
  16.    wt: 6:   Foreword
  17.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  18.    wt: 4:   1 More and Less Than for Counts and Measures
  19.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  20.    wt: 4:   21 Reciprocals for Fractions and Wholes
  21.    wt: 4:   Division with Counts and Length
  22.    wt: 4:   Long Division forwards and backwards Example 3
  23.    wt: 4:   Long Division forwards and backwards Example 2
  24.    wt: 4:   Long Division forwards and backwards Example 1
  25.    wt: 4:   10 Division by Five Long and Short Ways
  26.    wt: 4:   6. Counting and adding units and mixed units
  27.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  28.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  29.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  30.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  31.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  32.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  33.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  34.    wt: 3:   key notes and themes
  35.    wt: 3:   mathematics curriculum shifts
  36.    wt: 3:   04 29 New Mathematics Curriculum
  37.    wt: 3:   Education in mathematics science and technology
  38.    wt: 3:   need for a mixed mathematics curriculum
  39.    wt: 3:   Leaner mathematics curriculum
  40.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  41.    wt: 3:   4 Subtraction and Division Axioms
  42.    wt: 3:   2 More and Less Than for Counts and Measures
  43.    wt: 3:   2 More and Less Than with Unlike Signs
  44.    wt: 3:   1 Squares and Square Roots Introduction
  45.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  46.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  47.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  48.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  49.    wt: 3:   7 GCD and LCM from prime factorization
  50.    wt: 3:   4 LCM of 8 and 10 via Prime
  51.    wt: 3:   3 Counting with Tables and Trees II
  52.    wt: 3:   2 Counting with Tables and Trees I
  53.    wt: 3:   1 Counting and Counting Methods I
  54.    wt: 3:   3 Multiplying Units and Numbers
  55.    wt: 3:   2 Equality and Units
  56.    wt: 3:   1 Addition and Subtraction with Units
  57.    wt: 3:   B Fractions and Two Term Ratios
  58.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  59.    wt: 3:   17 Efficient Ways to Add and Subtract
  60.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  61.    wt: 3:   14 Adding and Subtracting with Like Denominators
  62.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  63.    wt: 3:   9 Improper Fractions and Mixed Numbers
  64.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  65.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  66.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  67.    wt: 3:   7 Calculator Usage Notes and Cautions
  68.    wt: 3:   Long Division Backwards more
  69.    wt: 3:   Long Division Backward
  70.    wt: 3:   12 Why Long Division Works Take III
  71.    wt: 3:   9 Why Long Division Works Take II
  72.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  73.    wt: 3:   5 Long Division Include Zeroes or not
  74.    wt: 3:   4 Division with 2 Digit Divsors
  75.    wt: 3:   3 Division Single Digit Divisor Example
  76.    wt: 3:   2 Division with Single Digit Divisors
  77.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  78.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  79.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  80.    wt: 3:   8 What skills and work habits to require
  81.    wt: 3:   Example 2 volume of a cone
  82.    wt: 3:   Example 1 volume of a pyramid
  83.    wt: 3:   Volume of Solid by Cross Sections Lesson
  84.    wt: 3:   Example 1. Area Between x and x squared
  85.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  86.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  87.    wt: 3:   Appendix E. How To Study Mathematics and Why
  88.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  89.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  90.    wt: 3:   O On Learning Mathematics and Science
  91.    wt: 3:   7 Games and Activities for Instruction
  92.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  93.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  94.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  95.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  96.    wt: 3:   Helping the Blind in Logic and Mathematics
  97.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  98.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  99.    wt: 2:   Appendix 1 primary and preschool mathematic
  100.    wt: 2:   E LAMP Introduction Modern Mathematics
  101.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  102.    wt: 2:   11 pure mathematics
  103.    wt: 2:   7 logic review and decimals an odd combination
  104.    wt: 2:   5 logarithms and exponentials etc
  105.    wt: 2:   Mathematics Education Professors
  106.    wt: 2:   what should be learnt and When
  107.    wt: 2:   mathematics in context
  108.    wt: 2:   Secondary Three Mathematics
  109.    wt: 2:   Secondary Two Mathematics
  110.    wt: 2:   Secondary One Mathematics
  111.    wt: 2:   three goals for Mathematics Education
  112.    wt: 2:   02 20 mathematics education references
  113.    wt: 2:   three aims for mathematics students
  114.    wt: 2:   standards for course material
  115.    wt: 2:   mathematics instruction in general
  116.    wt: 2:   three kinds of reason in mathematics
  117.    wt: 2:   Motivation and Context Problem
  118.    wt: 2:   fairness and inductive principles for instruction
  119.    wt: 2:   words for mathematics instructor
  120.    wt: 2:   chapitre 12 00 les iles et division
  121.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  122.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  123.    wt: 2:   12 Goals and Objectives For Mathematics
  124.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  125.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  126.    wt: 2:   4 Function notation in and beyond mathematics
  127.    wt: 2:   9 Summary Degrees to Radians and back
  128.    wt: 2:   1 Degrees and Radians Introduction
  129.    wt: 2:   Parallel Lines and Parallel Transversals
  130.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  131.    wt: 2:   Parallel Lines and Interior Angles
  132.    wt: 2:   14 cosine even and sine and tangent are odd
  133.    wt: 2:   10 Midpoint of [a b] and [b a]
  134.    wt: 2:   7 Exercises to test skill and concept mastery
  135.    wt: 2:   1 Numerical view of lines and their equations
  136.    wt: 2:   What is and is not here
  137.    wt: 2:   6 Polar Multiplication and Rotation
  138.    wt: 2:   5 Cartesian Addition and Translation
  139.    wt: 2:   4 Polar Coordinates to and from
  140.    wt: 2:   3 Lengths and Areas on Maps and Plans
  141.    wt: 2:   8 Division and Mulplication of Compound Fractions
  142.    wt: 2:   E Long Division Methods more
  143.    wt: 2:   D Long Division Methods
  144.    wt: 2:   B Decimal Comparison and Subtraction
  145.    wt: 2:   2 Combing Counts Addition Skills and Principles
  146.    wt: 2:   4 Rates Ratios and Proporitionality
  147.    wt: 2:   6 Equations and Systems Equivalent or Implied
  148.    wt: 2:   2 Addition and Multiplication Axioms
  149.    wt: 2:   3 More and Less Than with Unlike Signs
  150.    wt: 2:   3 Geometric Formulas and Function Notation
  151.    wt: 2:   1 Formulas Dependence and Function Notation
  152.    wt: 2:   Skill Development Notes
  153.    wt: 2:   4 Greater More Less Than Signs in General
  154.    wt: 2:   3 Comparison of Negative Numbers
  155.    wt: 2:   5 Square Roots with primes more still
  156.    wt: 2:   4 Square Roots with primes more
  157.    wt: 2:   3 Properties of Square Roots with example
  158.    wt: 2:   2 Square Roots with Prime
  159.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  160.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  161.    wt: 2:   13 GCD from given Prime Factorization
  162.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  163.    wt: 2:   8 GCD from Euclidean Algorithm
  164.    wt: 2:   6 GCD from Prime
  165.    wt: 2:   5 Common Divisors 60 45 via Prime
  166.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  167.    wt: 2:   2 Least Common Multiple LCM intro via list method
  168.    wt: 2:   1 Least Common Multiples LCM Introduction
  169.    wt: 2:   12 GCD 2700 288 via Prime
  170.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  171.    wt: 2:   4 Counting with Trees Product Rule Take I
  172.    wt: 2:   11 What are real lengths and numbers
  173.    wt: 2:   7 negative and additive inverse
  174.    wt: 2:   5 lengths and signs of numbers
  175.    wt: 2:   3 signed coordinates for maps and planes
  176.    wt: 2:   2 signed and unsigned numbers as coordinates
  177.    wt: 2:   7 Converting or Changing Units
  178.    wt: 2:   6 Simplification of Fractions with Units
  179.    wt: 2:   4 Fractions with Units
  180.    wt: 2:   D Three Term Ratios
  181.    wt: 2:   22 Complex Compound Fractions
  182.    wt: 2:   21 Working With Signs
  183.    wt: 2:   20 Dividing Fractions the Why
  184.    wt: 2:   19 Dividing Fractions How TO
  185.    wt: 2:   18 Efficient Ways to Multiply
  186.    wt: 2:   16 Addition Subtraction Comparision Compared
  187.    wt: 2:   13 Fraction Comparison Algebraic View
  188.    wt: 2:   12 Fraction Comparison
  189.    wt: 2:   11 Simplification an Algebraic View
  190.    wt: 2:   8 Numerals Fractionals Quantals Take II
  191.    wt: 2:   7 Numerals Fractionals Quantals
  192.    wt: 2:   6 Multiplication of Mixed Numbers
  193.    wt: 2:   6 Multiplication Algebraically Take II
  194.    wt: 2:   5 Equivalent Fractions
  195.    wt: 2:   4 Fraction Multiplication
  196.    wt: 2:   3 Unit fraction of a fraction
  197.    wt: 2:   2 Unit Fraction Multiplication
  198.    wt: 2:   1 What is a fraction Take II
  199.    wt: 2:   1 What is a fraction
  200.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  201.    wt: 2:   B Integer Long Division Multiple Choices
  202.    wt: 2:   11 Adding Integers Formulas and Examples
  203.    wt: 2:   5 Zero Movement and Additive Inverses
  204.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  205.    wt: 2:   26 Divisibility by 2 3 5 Example
  206.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  207.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  208.    wt: 2:   23 Remainder Arithmetic Modulo 2
  209.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  210.    wt: 2:   21 Remainder Arithmetic Modulo 3
  211.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  212.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  213.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  214.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  215.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  216.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  217.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  218.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  219.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  220.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  221.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  222.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  223.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  224.    wt: 2:   5 Remainder Arithmetic Modulo 5
  225.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  226.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  227.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  228.    wt: 2:   1 Remainder Arithmetic Modulo 10
  229.    wt: 2:   17 Identify and Count Factors using Primes
  230.    wt: 2:   12 LCD GCD and LCM using Primes
  231.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  232.    wt: 2:   5 Prime Factorization and a Square Rule
  233.    wt: 2:   3 video Primes and Composites from 9 times table
  234.    wt: 2:   2 Prime and Composites less than 16
  235.    wt: 2:   11 Another Single Digit Divisor Example
  236.    wt: 2:   8 Correcting the Mistake
  237.    wt: 2:   7 Long Divison Mistake Catching
  238.    wt: 2:   1 Divsion Physical Examples
  239.    wt: 2:   4 Two and Three Digit Multipliers
  240.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  241.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  242.    wt: 2:   Subtraction with J Conversions Example
  243.    wt: 2:   Subtraction Another Video Lesson
  244.    wt: 2:   9 22 Minute Subtraction Review Video
  245.    wt: 2:   8 Subtraction with Units of Measure
  246.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  247.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  248.    wt: 2:   5 A Tip for Efficent Subtraction
  249.    wt: 2:   2 Subtraction Easy Case Examples
  250.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  251.    wt: 2:   7 Adding decimal fractions using decimal point
  252.    wt: 2:   5. How to add decimals C. Examples
  253.    wt: 2:   4. How to add with decimals B with conversions
  254.    wt: 2:   3. How to add with decimals A sans conversions
  255.    wt: 2:   2 Decimal Counting Practices
  256.    wt: 2:   1. Explaining Addition Table
  257.    wt: 2:   11 Place Value SI Standard International way
  258.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  259.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  260.    wt: 2:   Quick history of numbers and algebra
  261.    wt: 2:   Exact Arithmetic Wholes and Fractions
  262.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  263.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  264.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  265.    wt: 2:   Example 4 with x function of y
  266.    wt: 2:   Example 3
  267.    wt: 2:   Example 2
  268.    wt: 2:   Example 1
  269.    wt: 2:   Area Between Curves Lesson Take 2
  270.    wt: 2:   Area Between Curves Lesson Take 1
  271.    wt: 2:   Summary
  272.    wt: 2:   38 Formulas and derivatives for powers and roots
  273.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  274.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  275.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  276.    wt: 2:   9 Limits Continuity and Composition
  277.    wt: 2:   5 Jumps and absence of unlimited error control
  278.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  279.    wt: 2:   PostScript For and Against Decimal Perspectives
  280.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  281.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  282.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  283.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  284.    wt: 2:   Chapter 12. Units and Slopes
  285.    wt: 2:   Chapter 10 Slopes and Units
  286.    wt: 2:   Chapter 7 Slopes and Velocity
  287.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  288.    wt: 2:   Chapter 2. Slopes and Ski Trails
  289.    wt: 2:   Appendix D. What to do in School and Why
  290.    wt: 2:   Chapter 31 Direct and Indirect Reason
  291.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  292.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  293.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  294.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  295.    wt: 2:   Chapter 20. Degrees and Radians
  296.    wt: 2:   Chapter 19. Functions and Sets
  297.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  298.    wt: 2:   Chapter 12. Shorthand Usage Guide
  299.    wt: 2:   Chapter 11. Why Shorthand
  300.    wt: 2:   Chapter 10 Describing and Changing Calculations
  301.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  302.    wt: 2:   Postscript B More on Story Telling and Reason
  303.    wt: 2:   Chapter 24 Direct and Indirect Reason
  304.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  305.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  306.    wt: 2:   Chapter 18 Sense and Knowledge
  307.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  308.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  309.    wt: 2:   R Why Learn Mathematics Skills
  310.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  311.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  312.    wt: 2:   N Mathematics Prepare for College Studies
  313.    wt: 2:   N Improving Marks on Tests and Finals
  314.    wt: 2:   J. More on written work and showing skill
  315.    wt: 2:   I. Logic and language skills
  316.    wt: 2:   H Jigsaw puzzles and problem solving
  317.    wt: 2:   G. Written work formats for developing and showing skill
  318.    wt: 2:   E. When and how to correct errors
  319.    wt: 2:   How to Build Skills and Confidence
  320.    wt: 2:   Chapter 8 Skipped Topics and Why
  321.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  322.    wt: 2:   Chapter 6 More Algebra and Geometry
  323.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  324.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  325.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  326.    wt: 2:   Mathematics Education References
  327.    wt: 2:   Mathematics Education References
  328.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  329.    wt: 2:   Implementation Notes
  330.    wt: 2:   More Algebra and Slope based Calculus Preview
  331.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  332.    wt: 1:   Appendix 2 primary school Arithmetic 01
  333.    wt: 1:   K LAMP Musings Science Education
  334.    wt: 1:   J LAMP Introduction Extrinsic Origins
  335.    wt: 1:   I LAMP Introduction Study Habits
  336.    wt: 1:   H LAMP Introduction Instructional Concepts
  337.    wt: 1:   G LAMP Introduction Problem Solving Skills
  338.    wt: 1:   F LAMP Introduction Prerequisites
  339.    wt: 1:   A Introduction Objectives
  340.    wt: 1:   Skills Chapter 5 Calculus
  341.    wt: 1:   Skills Chapter 4 Logic
  342.    wt: 1:   Ramblings Extrinsic numbers theory
  343.    wt: 1:   Ramblings Introduction Algebra Essay
  344.    wt: 1:   Skills Chapter 3 Algebra
  345.    wt: 1:   Skills Chapter 2 Geometry
  346.    wt: 1:   Skills Chapter 1 Arithmetic
  347.    wt: 1:   Skills Chapter 0 Introduction
  348.    wt: 1:   10 statistics
  349.    wt: 1:   9 combinatorics probability sets
  350.    wt: 1:   8 analytic geometry etc
  351.    wt: 1:   6 polynomials etc
  352.    wt: 1:   4 algebra
  353.    wt: 1:   3 Euclidean Geometry Leanly
  354.    wt: 1:   2 arithmetic with signed numbers
  355.    wt: 1:   1 arithmetic with unsigned numbers
  356.    wt: 1:   What is POMME
  357.    wt: 1:   why bother
  358.    wt: 1:   which way to go
  359.    wt: 1:   website reviews
  360.    wt: 1:   three goals to set for students
  361.    wt: 1:   Teach the teachers plus goals
  362.    wt: 1:   permissions for teachers
  363.    wt: 1:   Math Ed if it must be short make it lean effective
  364.    wt: 1:   Applied Maths Program14092009 POMME variant
  365.    wt: 1:   activities for students
  366.    wt: 1:   links Education Resources online
  367.    wt: 1:   site origins
  368.    wt: 1:   site eurekas
  369.    wt: 1:   About site lesson plans
  370.    wt: 1:   teacher certification
  371.    wt: 1:   modern education
  372.    wt: 1:   learning takes time
  373.    wt: 1:   grouping students according to ability
  374.    wt: 1:   Postscript 2007 01 10
  375.    wt: 1:   Education Reform Inconsistencies
  376.    wt: 1:   five decades make a difference
  377.    wt: 1:   Maps Plans Drawings
  378.    wt: 1:   how letters appear
  379.    wt: 1:   talk the algebra talk
  380.    wt: 1:   three difficulties
  381.    wt: 1:   teaching tips
  382.    wt: 1:   What to Tell Students
  383.    wt: 1:   geometric implications for algebra
  384.    wt: 1:   teaching tutoring algebraic reason
  385.    wt: 1:   Lessening Algebra Difficulties
  386.    wt: 1:   the trouble with algebra
  387.    wt: 1:   05 13 OldSiteEntrancePage
  388.    wt: 1:   04 25 when to stop or suspend mathemat
  389.    wt: 1:   02 21 words for teachers
  390.    wt: 1:   Operational Viewpoint to Value
  391.    wt: 1:   formal or informal peer review
  392.    wt: 1:   Theory of Knowledge
  393.    wt: 1:   Different Kinds of Reasoning in maths
  394.    wt: 1:   cultivating intelligence
  395.    wt: 1:   Four ways to improve education reform
  396.    wt: 1:   How to be a better instructor
  397.    wt: 1:   Prequel In For A Penny In For A Pound
  398.    wt: 1:   education an empirical art
  399.    wt: 1:   chapitre 07 01 principle D induction mathematique
  400.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  401.    wt: 1:   chapitre 06 00 Chaines de la raison
  402.    wt: 1:   chapitre 05 00 Deception
  403.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  404.    wt: 1:   chapitre 04 09 Regles accidentelles
  405.    wt: 1:   chapitre 04 08 Limitations et benefices
  406.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  407.    wt: 1:   chapitre 04 06 engagements
  408.    wt: 1:   chapitre 04 05 Implication versus suggestion
  409.    wt: 1:   chapitre 04 04 Parlons de la logique
  410.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  411.    wt: 1:   chapitre 04 02 Deuxieme enigme
  412.    wt: 1:   chapitre 04 01 Premiere enigme
  413.    wt: 1:   chapitre 04 00 Les regles d implication
  414.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  415.    wt: 1:   chapitre 02 00 La Communication des idees
  416.    wt: 1:   chapitre 01 00 Introduction
  417.    wt: 1:   Home Tutoring and Home Schooling
  418.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  419.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  420.    wt: 1:   24 Standards For Skill Develoment Take II
  421.    wt: 1:   24 Standards For Skill Develoment
  422.    wt: 1:   22 Student Centered Highschool Mathematics
  423.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  424.    wt: 1:   18 Primary School Mathematics
  425.    wt: 1:   17 Math Booklets for children and young teenagers
  426.    wt: 1:   16 Secondary Mathematics Tips
  427.    wt: 1:   14 Multiplication and Times Tables
  428.    wt: 1:   13 Addition and Addition Tables
  429.    wt: 1:   11 Help and Defend Your Child or Teens Education
  430.    wt: 1:   5 Patience Please for Yourself and Your Charges
  431.    wt: 1:   4 Learning Takes Time and Effort
  432.    wt: 1:   2 Reading and Writing Skills
  433.    wt: 1:   Ages 12 to 14 Skills with take home value
  434.    wt: 1:   Ages 12 to 14 Geometry
  435.    wt: 1:   Ages 12 to 14 Arithmetic
  436.    wt: 1:   Ages 10 to 12 Geometry
  437.    wt: 1:   Ages 10 to 12 Arithmetic
  438.    wt: 1:   Ages 9 to 10
  439.    wt: 1:   Ages 8 to 9
  440.    wt: 1:   Ages 7 to 8
  441.    wt: 1:   Ages 6 to 7
  442.    wt: 1:   Ages 4 plus to 5 plus
  443.    wt: 1:   Ages 3 plus to 4 plus
  444.    wt: 1:   26 Function definitions done and coming
  445.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  446.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  447.    wt: 1:   19 Horizontal line rule and method
  448.    wt: 1:   18 Vertical Line Rule and Method
  449.    wt: 1:   17 Function maxima minima and their location
  450.    wt: 1:   11 Function Domain Range Source and Targets
  451.    wt: 1:   8 Set view of relations and functions
  452.    wt: 1:   6 Set Existence Formation and Notation
  453.    wt: 1:   9 quadratics physical and further context
  454.    wt: 1:   11 Growth and Decay in Biology
  455.    wt: 1:   10 Exponential Growth and Decay Models
  456.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  457.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  458.    wt: 1:   8 Notes for instructors or tutors
  459.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  460.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  461.    wt: 1:   4 Polynomials Long division linear divisor
  462.    wt: 1:   16 cotangent function Definition Graph and Inverse
  463.    wt: 1:   15 cosecant function Definition Graph and Inverse
  464.    wt: 1:   14 secant function Definition Graph and Inverse
  465.    wt: 1:   13 cosecant function Definition Graph and Inverse
  466.    wt: 1:   8 Radian Measures of Common Angles
  467.    wt: 1:   7 Radian Measures in special Triangles
  468.    wt: 1:   6 Radian Measure to Degrees
  469.    wt: 1:   5 Degrees to Radian Measure
  470.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  471.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  472.    wt: 1:   2 Radian Measure Numerical Value of one degree
  473.    wt: 1:   A Global Time and Navigation
  474.    wt: 1:   15 Dot and Cross Product
  475.    wt: 1:   12 From Applied To Pure Mathematics
  476.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  477.    wt: 1:   Vector and Complex Number Applet
  478.    wt: 1:   4 graphing y=Asin(x c)
  479.    wt: 1:   3 graphing y=f(x c) plus K
  480.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  481.    wt: 1:   1 graphing y=f(x a)
  482.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  483.    wt: 1:   Triangle Angles Sum To 180 Degrees
  484.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  485.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  486.    wt: 1:   Straight Lines ASA Intersection Study More
  487.    wt: 1:   Straight Lines ASA Intersection Study
  488.    wt: 1:   Straight Lines Instersection Solving Equations
  489.    wt: 1:   Straight Lines Intersection of
  490.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  491.    wt: 1:   C Straight Lines Slope from Coordinates
  492.    wt: 1:   B Straight Line Slope Scaling Properties More
  493.    wt: 1:   A Straight Line Slope Scaling Properties
  494.    wt: 1:   14 Straight Lines Equations General Case
  495.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  496.    wt: 1:   12 Straight Lines Graphing mx plus b
  497.    wt: 1:   11 Straight Lines Graphing y=mx
  498.    wt: 1:   10 Straight Lines through Origin Equations More
  499.    wt: 1:   9 Straight Lines through Origin Equations
  500.    wt: 1:   8 Straight Lines Equation for vertical
  501.    wt: 1:   7 Tangent Function is odd on this domain
  502.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  503.    wt: 1:   5 Tangent Function Graph
  504.    wt: 1:   4 Tangent Function Properties
  505.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  506.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  507.    wt: 1:   1 Straight Lines Slope Concept
  508.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  509.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  510.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  511.    wt: 1:   29 secant cosecant and cotangent for acute angles
  512.    wt: 1:   27 Logarithmic use of products of sines and cosines
  513.    wt: 1:   26 Formulas for products of sines and cosines
  514.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  515.    wt: 1:   21 sine and cosine Half Angle Formulas
  516.    wt: 1:   20 sine and cosine Double Angle Formulas
  517.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  518.    wt: 1:   17E Trig Formulas for dot and cross Products
  519.    wt: 1:   17D cis formulas for sine cosines and tangent
  520.    wt: 1:   17C sine and cosine double triple angle formulas
  521.    wt: 1:   10 Graphs of sines and cosines many periods
  522.    wt: 1:   9 Graphs of sine and cosine over one period
  523.    wt: 1:   7 period of sine and cosine
  524.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  525.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  526.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  527.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  528.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  529.    wt: 1:   21 Logarithms Powers and Exponentials
  530.    wt: 1:   16 References and Originality Question
  531.    wt: 1:   13 Trig Formulas for dot and cross Products
  532.    wt: 1:   12 cis formulas for sine cosines and tangent
  533.    wt: 1:   11 sine and cosine double triple angle formulas
  534.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  535.    wt: 1:   3 Trigonometric Ratios sine and cosine
  536.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  537.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  538.    wt: 1:   8 Similarity of Triangles and Polygons
  539.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  540.    wt: 1:   Four Simple Exercises
  541.    wt: 1:   12 Links Lessons elsewhere
  542.    wt: 1:   11 A Partial Summary
  543.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  544.    wt: 1:   8 Mid Point Formula
  545.    wt: 1:   6 Intersection of lines by solving linear systems
  546.    wt: 1:   5 Algebraic View of Slopes
  547.    wt: 1:   4 Equations for lines three forms
  548.    wt: 1:   3 Slope product for perpendicular lines
  549.    wt: 1:   2 point slope equation for a line
  550.    wt: 1:   13 Pythagorean spatial distance formulas
  551.    wt: 1:   12 Spatial Coordinates
  552.    wt: 1:   11 Triangle Inequality
  553.    wt: 1:   10 Pythagorean plane distance formula
  554.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  555.    wt: 1:   8 Distance Between Points on a Line
  556.    wt: 1:   7 Complex Numbers Appetizer
  557.    wt: 1:   3 Rectangular Coordinates Review
  558.    wt: 1:   2 Cartesian Coordinates with signs
  559.    wt: 1:   1 Cartesian Coordinates sans signs
  560.    wt: 1:   16 Angles Subtended By Chords and Diameters
  561.    wt: 1:   6 Ruler and compass Angle Bisection
  562.    wt: 1:   1 Initial Concepts and Terms
  563.    wt: 1:   A Modular and Remainder Arithmetic
  564.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  565.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  566.    wt: 1:   13 Arrows and Vectors in a Plane
  567.    wt: 1:   11 Signed Number Addition and Addition Properties
  568.    wt: 1:   9 Division with Digits after Decimal Point
  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:   5 Distributive Law for Whole Numbers
  575.    wt: 1:   4 Commutative Law Groups Counting Form
  576.    wt: 1:   3 Multiplicative Counting Skills Principles
  577.    wt: 1:   1 The Counting Origins of Numbers
  578.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  579.    wt: 1:   5 Proportionality in Equivalent Fractions
  580.    wt: 1:   3 Proportionality Examples
  581.    wt: 1:   2 Algebraic View
  582.    wt: 1:   1 What is Proportionality
  583.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  584.    wt: 1:   6 Compound Interest Forward and Backwards
  585.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  586.    wt: 1:   5 Equality in Algebra
  587.    wt: 1:   3 Product Axioms Two Forms
  588.    wt: 1:   1 Equivalent Computation Rules
  589.    wt: 1:   5 Greater More Less Than Signs in General
  590.    wt: 1:   4 Comparison of Negative Numbers
  591.    wt: 1:   1 Real Numbers Comparison
  592.    wt: 1:   15 Real Number Division
  593.    wt: 1:   10 Real Number Lengths and Signs
  594.    wt: 1:   8 Coordinates for Maps and Planes
  595.    wt: 1:   1 Whole and Natural Numbers
  596.    wt: 1:   5 Independent versus Dependent Variables
  597.    wt: 1:   4 Changing Letters
  598.    wt: 1:   2 Computation Rules Evaluation
  599.    wt: 1:   3 GE III Equation Addition and Multiplication
  600.    wt: 1:   10 One Example
  601.    wt: 1:   9 Three Examples
  602.    wt: 1:   8 One Example
  603.    wt: 1:   7 Two Examples
  604.    wt: 1:   6 Three Examples
  605.    wt: 1:   5 Three Examples
  606.    wt: 1:   4 Two Examples
  607.    wt: 1:   3 Two Examples
  608.    wt: 1:   2 Three Examples
  609.    wt: 1:   11 Volume of Sphere
  610.    wt: 1:   10 Volume of Pyramid
  611.    wt: 1:   9 Volume of Cone
  612.    wt: 1:   5 Box Volume Formula Example
  613.    wt: 1:   1 Written work formats for developing and showing skill
  614.    wt: 1:   9 Sets in Probability and Statistics
  615.    wt: 1:   5 Talking about Numbers and Quantities
  616.    wt: 1:   4 A Brief Story of numbers and algebra
  617.    wt: 1:   arithmetic videos Real Player Format
  618.    wt: 1:   10 dividing signed numbers
  619.    wt: 1:   9 subtracting signed numbers
  620.    wt: 1:   8 multiplying signed numbers
  621.    wt: 1:   6 adding signed numbers
  622.    wt: 1:   4 signed coordinates for regions in space
  623.    wt: 1:   D Remainders Modulo 11 Pair Rule
  624.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  625.    wt: 1:   A Associative Law Theorectical Note
  626.    wt: 1:   13 Subtraction with Additive Inverse
  627.    wt: 1:   12 Adding Integers More Examples
  628.    wt: 1:   10 Integer Multiplication Formulas
  629.    wt: 1:   9 Multiplying Integers
  630.    wt: 1:   8 Multiplication by Signed Numbers Integers
  631.    wt: 1:   7 Multiplication by Signs
  632.    wt: 1:   6 Multiplication by Natural Numbers
  633.    wt: 1:   4 Adding Movements wiht opposite directions
  634.    wt: 1:   3 Adding Movements with same direction
  635.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  636.    wt: 1:   1 Integers as Coordinates
  637.    wt: 1:   20 Uniqueness of Prime Factorization
  638.    wt: 1:   19 video Prime Factorization Unique
  639.    wt: 1:   18 video Count Factors given Prime Factorization
  640.    wt: 1:   16 video Factors of 980 using prime
  641.    wt: 1:   15 video Factors of 20 using Prime Factorization
  642.    wt: 1:   14 video Factors of 24 Take II
  643.    wt: 1:   13 video Factors of 24 using prime
  644.    wt: 1:   11 Efficient Square Rule Use
  645.    wt: 1:   10 video Prime Factorization upto 23 squared
  646.    wt: 1:   9 video Prime Factorization upto 19 squared
  647.    wt: 1:   8 video Prime Factorization upto 19
  648.    wt: 1:   4 video Prime Factorization Introduction
  649.    wt: 1:   1 video how Products are bigger than factor
  650.    wt: 1:   D Decimal Multiplication Methods Derived
  651.    wt: 1:   C Counting Areas with Powers of Ten
  652.    wt: 1:   B Powers of Ten
  653.    wt: 1:   A Elementary Basis for Multiplication Methods
  654.    wt: 1:   6 Multiplication Commutes Order Not Important
  655.    wt: 1:   5 Decimal Fraction Multiplication
  656.    wt: 1:   3 More One Digit Multipliers
  657.    wt: 1:   2 One Digit Multipliers
  658.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  659.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  660.    wt: 1:   Video Power Notation in Decimal Expansion
  661.    wt: 1:   1 Why 3 times 5 gives 15
  662.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  663.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  664.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  665.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  666.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  667.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  668.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  669.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  670.    wt: 1:   Formula Evaluation how to show work
  671.    wt: 1:   Expression Evaluation how to show work
  672.    wt: 1:   The 20 Times Table
  673.    wt: 1:   The 12 Times Table Visually
  674.    wt: 1:   About folder contents
  675.    wt: 1:   015 School and work day counting tables
  676.    wt: 1:   012 Division of Time Intervals by Time Intervals
  677.    wt: 1:   011 Division of Time Intervals By Numbers
  678.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  679.    wt: 1:   4 Mixing and Changing Units of Time
  680.    wt: 1:   3 Units and Lengths of Time
  681.    wt: 1:   2 Time and Date Matters in School
  682.    wt: 1:   A Related Material in Volume 3
  683.    wt: 1:   A Related lessons in Volume 3
  684.    wt: 1:   17 Derivatives of quotients of sine and cosine
  685.    wt: 1:   15 sine and cosine derivatives 3rd step
  686.    wt: 1:   14 sine and cosine derivatives 2nd step
  687.    wt: 1:   13 sine and cosine derivatives 1st step
  688.    wt: 1:   11 Limits at infinity Three Examples
  689.    wt: 1:   10 Three one sided limits with infinite values
  690.    wt: 1:   8 Four Animated Examples
  691.    wt: 1:   7 Evaluation by immediate or delayed substitution
  692.    wt: 1:   6 Continuity at a point
  693.    wt: 1:   4 Numerical properties
  694.    wt: 1:   3 Decimal insights for limits continuity convergence
  695.    wt: 1:   2 Algebraic codification
  696.    wt: 1:   1 Numerical introduction
  697.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  698.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  699.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  700.    wt: 1:   G.5 Motions With Bounded Velocities
  701.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  702.    wt: 1:   G.3 Constant Difference Theorem Proof
  703.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  704.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  705.    wt: 1:   F.5b Extreme Value Theorem
  706.    wt: 1:   F.5a Equicontinuity Theorems
  707.    wt: 1:   F.4 Finite Covering Theorem
  708.    wt: 1:   F.3 Intermediate Value Theorem
  709.    wt: 1:   F.2 Closed Range Theorem
  710.    wt: 1:   F.1 What Functions are Continuous
  711.    wt: 1:   E2 Algebraic Properties of Limits
  712.    wt: 1:   E1 Error Control Inequalities
  713.    wt: 1:   D2 Limits of Monotone Sequences
  714.    wt: 1:   C Triangle Inequalities
  715.    wt: 1:   B3 Bolzano Weierstrass Theorem
  716.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  717.    wt: 1:   A1. Introduction
  718.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  719.    wt: 1:   Chapter 23 Links To Trigonometry
  720.    wt: 1:   Chapter 22 Complex Numbers
  721.    wt: 1:   Chapter 21 Arrow Addition
  722.    wt: 1:   Chapter 18. Slopes Areas Integration
  723.    wt: 1:   Chapter 17. Area Approximation
  724.    wt: 1:   Chapter 16. Velocity Approximation
  725.    wt: 1:   Chapter 15. Slope Approximation
  726.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  727.    wt: 1:   Chapter 13. Acceleration
  728.    wt: 1:   Chapter 11. Graphing Slope versus Position
  729.    wt: 1:   Chapter 9 About First Courses in Calculus
  730.    wt: 1:   Chapter 8. Slope Interpretation
  731.    wt: 1:   Chapter 5. Slope Sign Tests
  732.    wt: 1:   Chapter 4. More Slope Sign Analysis
  733.    wt: 1:   Chapter 3. Slope Sign Analysis
  734.    wt: 1:   Chapter 1.Introduction
  735.    wt: 1:   Fall 1983 Calculus Appetizer
  736.    wt: 1:   Foreword
  737.    wt: 1:   Postscript More on Better Performance
  738.    wt: 1:   Postscript For Better Performance
  739.    wt: 1:   Appendix C. How to Read
  740.    wt: 1:   Appendix B. How To Learn
  741.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  742.    wt: 1:   Chapter 30 Truth Tables
  743.    wt: 1:   Chapter 28 Occurrence Tables
  744.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  745.    wt: 1:   Chapter 25. Mathematical Induction Examples
  746.    wt: 1:   Chapter 23. Notation For Sums
  747.    wt: 1:   Chapter 21. Third Reading Guide
  748.    wt: 1:   Chapter 18. Rules for Algebra
  749.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  750.    wt: 1:   Chapter 16. Painless Theorem Proving
  751.    wt: 1:   Chapter 15. Solving Linear Equations
  752.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  753.    wt: 1:   Chapter 13. Second Reading Guide
  754.    wt: 1:   Postscript What is a Variable
  755.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  756.    wt: 1:   Chapter 8 Three Skills For Algebra
  757.    wt: 1:   Solutions For Arithmetic Exercises
  758.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  759.    wt: 1:   Chapter 6 Change of Language
  760.    wt: 1:   Chapter 4 Longer Chains of Reason
  761.    wt: 1:   Chapter 3 Chains of Reason
  762.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  763.    wt: 1:   Foreword
  764.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  765.    wt: 1:   Postscript C Consistency as a Tool for Reason
  766.    wt: 1:   Postscript A Story Telling
  767.    wt: 1:   Chapter 23 Truth Tables
  768.    wt: 1:   Chapter 21 Occurrence Tables
  769.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  770.    wt: 1:   Chapter 15 Objective Processes
  771.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  772.    wt: 1:   Chapter 11 Accidental Patterns
  773.    wt: 1:   Chapter 10 Responsibility
  774.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  775.    wt: 1:   Chapter 8 Change of Language
  776.    wt: 1:   Chapter 7 Longer Chains of Reason
  777.    wt: 1:   Chapter 6 Chains of Reason
  778.    wt: 1:   Chapter 5 Deception
  779.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  780.    wt: 1:   Chapter 2 Skill Development
  781.    wt: 1:   Chapter 1 Introduction
  782.    wt: 1:   Three Remarks
  783.    wt: 1:   Foreword
  784.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  785.    wt: 1:   S Adding words to algebra
  786.    wt: 1:   M Words to extend arithmetic
  787.    wt: 1:   L Skills with take home value
  788.    wt: 1:   H more Routine to non routine problem solving
  789.    wt: 1:   F. The student teacher tutor feedback loop
  790.    wt: 1:   D. Check work a must with a caution
  791.    wt: 1:   C. Domino effect of being careful
  792.    wt: 1:   B. Domino effect of errors
  793.    wt: 1:   A. Skill has to be seen to believed
  794.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  795.    wt: 1:   Chapter 3 Algebra Starter Lessons
  796.    wt: 1:   Chapter 2 Why Sets
  797.    wt: 1:   Chapter 1 Arithmetic
  798.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  799.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  800.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  801.    wt: 1:   Systematic Algebra Skill Development Missing Links
  802.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  803.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  804.    wt: 1:   Which Way To Go
  805.    wt: 1:   The Math Forum and Site Content

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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