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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42 matches:

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

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328 matches:

  1.    wt: 3:   I. Logic and language skills
  2.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  3.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  4.    wt: 2:   24 Standards For Skill Develoment Take II
  5.    wt: 2:   24 Standards For Skill Develoment
  6.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  7.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  8.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  9.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  10.    wt: 2:   17 Math Booklets for children and young teenagers
  11.    wt: 2:   2 Reading and Writing Skills
  12.    wt: 2:   Ages 12 to 14 Skills with take home value
  13.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  14.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  15.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  16.    wt: 2:   14 cosine even and sine and tangent are odd
  17.    wt: 2:   7 Exercises to test skill and concept mastery
  18.    wt: 2:   3 Lengths and Areas on Maps and Plans
  19.    wt: 2:   2 Combing Counts Addition Skills and Principles
  20.    wt: 2:   2 More and Less Than for Counts and Measures
  21.    wt: 2:   Skill Development Notes
  22.    wt: 2:   1 Written work formats for developing and showing skill
  23.    wt: 2:   1 More and Less Than for Counts and Measures
  24.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  25.    wt: 2:   7 Calculator Usage Notes and Cautions
  26.    wt: 2:   8 What skills and work habits to require
  27.    wt: 2:   6. Counting and adding units and mixed units
  28.    wt: 2:   38 Formulas and derivatives for powers and roots
  29.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  30.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  31.    wt: 2:   Chapter 12. Shorthand Usage Guide
  32.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  33.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  34.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  35.    wt: 2:   Chapter 2 Skill Development
  36.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  37.    wt: 2:   J. More on written work and showing skill
  38.    wt: 2:   G. Written work formats for developing and showing skill
  39.    wt: 2:   How to Build Skills and Confidence
  40.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  41.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  42.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  43.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  44.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  45.    wt: 2:   Systematic Algebra Skill Development Missing Links
  46.    wt: 1:   Appendix 1 primary and preschool mathematic
  47.    wt: 1:   G LAMP Introduction Problem Solving Skills
  48.    wt: 1:   Skills Chapter 5 Calculus
  49.    wt: 1:   Skills Chapter 4 Logic
  50.    wt: 1:   Skills Chapter 3 Algebra
  51.    wt: 1:   Skills Chapter 2 Geometry
  52.    wt: 1:   Skills Chapter 1 Arithmetic
  53.    wt: 1:   Skills Chapter 0 Introduction
  54.    wt: 1:   7 logic review and decimals an odd combination
  55.    wt: 1:   5 logarithms and exponentials etc
  56.    wt: 1:   key notes and themes
  57.    wt: 1:   what should be learnt and When
  58.    wt: 1:   05 13 OldSiteEntrancePage
  59.    wt: 1:   standards for course material
  60.    wt: 1:   Education in mathematics science and technology
  61.    wt: 1:   Motivation and Context Problem
  62.    wt: 1:   fairness and inductive principles for instruction
  63.    wt: 1:   chapitre 04 06 engagements
  64.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  65.    wt: 1:   Home Tutoring and Home Schooling
  66.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  67.    wt: 1:   22 Student Centered Highschool Mathematics
  68.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  69.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  70.    wt: 1:   14 Multiplication and Times Tables
  71.    wt: 1:   13 Addition and Addition Tables
  72.    wt: 1:   12 Goals and Objectives For Mathematics
  73.    wt: 1:   11 Help and Defend Your Child or Teens Education
  74.    wt: 1:   5 Patience Please for Yourself and Your Charges
  75.    wt: 1:   4 Learning Takes Time and Effort
  76.    wt: 1:   1 Speaking Skills
  77.    wt: 1:   Ages 12 to 14 Geometry
  78.    wt: 1:   Ages 12 to 14 Arithmetic
  79.    wt: 1:   Ages 10 to 12 Geometry
  80.    wt: 1:   Ages 10 to 12 Arithmetic
  81.    wt: 1:   Ages 9 to 10
  82.    wt: 1:   Ages 8 to 9
  83.    wt: 1:   Ages 7 to 8
  84.    wt: 1:   Ages 6 to 7
  85.    wt: 1:   Ages 4 plus to 5 plus
  86.    wt: 1:   Ages 3 plus to 4 plus
  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:   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:   16 cotangent function Definition Graph and Inverse
  104.    wt: 1:   15 cosecant function Definition Graph and Inverse
  105.    wt: 1:   14 secant function Definition Graph and Inverse
  106.    wt: 1:   13 cosecant function Definition Graph and Inverse
  107.    wt: 1:   9 Summary Degrees to Radians and back
  108.    wt: 1:   1 Degrees and Radians Introduction
  109.    wt: 1:   A Global Time and Navigation
  110.    wt: 1:   15 Dot and Cross Product
  111.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  112.    wt: 1:   Vector and Complex Number Applet
  113.    wt: 1:   Parallel Lines and Parallel Transversals
  114.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  115.    wt: 1:   Parallel Lines and Interior Angles
  116.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  117.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  118.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  119.    wt: 1:   29 secant cosecant and cotangent for acute angles
  120.    wt: 1:   27 Logarithmic use of products of sines and cosines
  121.    wt: 1:   26 Formulas for products of sines and cosines
  122.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  123.    wt: 1:   21 sine and cosine Half Angle Formulas
  124.    wt: 1:   20 sine and cosine Double Angle Formulas
  125.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  126.    wt: 1:   17E Trig Formulas for dot and cross Products
  127.    wt: 1:   17D cis formulas for sine cosines and tangent
  128.    wt: 1:   17C sine and cosine double triple angle formulas
  129.    wt: 1:   10 Graphs of sines and cosines many periods
  130.    wt: 1:   9 Graphs of sine and cosine over one period
  131.    wt: 1:   7 period of sine and cosine
  132.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  133.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  134.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  135.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  136.    wt: 1:   Unit Circle Development of Trigonometry
  137.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  138.    wt: 1:   21 Logarithms Powers and Exponentials
  139.    wt: 1:   16 References and Originality Question
  140.    wt: 1:   13 Trig Formulas for dot and cross Products
  141.    wt: 1:   12 cis formulas for sine cosines and tangent
  142.    wt: 1:   11 sine and cosine double triple angle formulas
  143.    wt: 1:   8 Unit Circle Development of Trigonometry
  144.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  145.    wt: 1:   3 Trigonometric Ratios sine and cosine
  146.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  147.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  148.    wt: 1:   8 Similarity of Triangles and Polygons
  149.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  150.    wt: 1:   10 Midpoint of [a b] and [b a]
  151.    wt: 1:   1 Numerical view of lines and their equations
  152.    wt: 1:   What is and is not here
  153.    wt: 1:   6 Polar Multiplication and Rotation
  154.    wt: 1:   5 Cartesian Addition and Translation
  155.    wt: 1:   4 Polar Coordinates to and from
  156.    wt: 1:   16 Angles Subtended By Chords and Diameters
  157.    wt: 1:   6 Ruler and compass Angle Bisection
  158.    wt: 1:   1 Initial Concepts and Terms
  159.    wt: 1:   A Modular and Remainder Arithmetic
  160.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  161.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  162.    wt: 1:   13 Arrows and Vectors in a Plane
  163.    wt: 1:   11 Signed Number Addition and Addition Properties
  164.    wt: 1:   8 Division and Mulplication of Compound Fractions
  165.    wt: 1:   B Decimal Comparison and Subtraction
  166.    wt: 1:   3 Multiplicative Counting Skills Principles
  167.    wt: 1:   4 Fraction Operations Axiomatic Development
  168.    wt: 1:   2 Fraction Operations Physical Development
  169.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  170.    wt: 1:   4 Rates Ratios and Proporitionality
  171.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  172.    wt: 1:   6 Compound Interest Forward and Backwards
  173.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  174.    wt: 1:   6 Equations and Systems Equivalent or Implied
  175.    wt: 1:   4 Subtraction and Division Axioms
  176.    wt: 1:   2 Addition and Multiplication Axioms
  177.    wt: 1:   3 More and Less Than with Unlike Signs
  178.    wt: 1:   10 Real Number Lengths and Signs
  179.    wt: 1:   8 Coordinates for Maps and Planes
  180.    wt: 1:   1 Whole and Natural Numbers
  181.    wt: 1:   3 Geometric Formulas and Function Notation
  182.    wt: 1:   1 Formulas Dependence and Function Notation
  183.    wt: 1:   3 GE III Equation Addition and Multiplication
  184.    wt: 1:   1 Proper Equal Sign Usage
  185.    wt: 1:   Formula Usage Show Work Format
  186.    wt: 1:   9 Sets in Probability and Statistics
  187.    wt: 1:   5 Talking about Numbers and Quantities
  188.    wt: 1:   4 A Brief Story of numbers and algebra
  189.    wt: 1:   1 Three Skills For Algebra
  190.    wt: 1:   2 More and Less Than with Unlike Signs
  191.    wt: 1:   1 Squares and Square Roots Introduction
  192.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  193.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  194.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  195.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  196.    wt: 1:   7 GCD and LCM from prime factorization
  197.    wt: 1:   4 LCM of 8 and 10 via Prime
  198.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  199.    wt: 1:   2 Least Common Multiple LCM intro via list method
  200.    wt: 1:   3 Counting with Tables and Trees II
  201.    wt: 1:   2 Counting with Tables and Trees I
  202.    wt: 1:   1 Counting and Counting Methods I
  203.    wt: 1:   11 What are real lengths and numbers
  204.    wt: 1:   7 negative and additive inverse
  205.    wt: 1:   5 lengths and signs of numbers
  206.    wt: 1:   3 signed coordinates for maps and planes
  207.    wt: 1:   2 signed and unsigned numbers as coordinates
  208.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  209.    wt: 1:   3 Multiplying Units and Numbers
  210.    wt: 1:   2 Equality and Units
  211.    wt: 1:   1 Addition and Subtraction with Units
  212.    wt: 1:   B Fractions and Two Term Ratios
  213.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  214.    wt: 1:   21 Reciprocals for Fractions and Wholes
  215.    wt: 1:   17 Efficient Ways to Add and Subtract
  216.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  217.    wt: 1:   14 Adding and Subtracting with Like Denominators
  218.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  219.    wt: 1:   9 Improper Fractions and Mixed Numbers
  220.    wt: 1:   11 Adding Integers Formulas and Examples
  221.    wt: 1:   5 Zero Movement and Additive Inverses
  222.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  223.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  224.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  225.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  226.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  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:   Division with Counts and Length
  234.    wt: 1:   Long Division forwards and backwards Example 3
  235.    wt: 1:   Long Division forwards and backwards Example 2
  236.    wt: 1:   Long Division forwards and backwards Example 1
  237.    wt: 1:   10 Division by Five Long and Short Ways
  238.    wt: 1:   4 Two and Three Digit Multipliers
  239.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  240.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  241.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  242.    wt: 1:   11 Place Value SI Standard International way
  243.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  244.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  245.    wt: 1:   Quick history of numbers and algebra
  246.    wt: 1:   Exact Arithmetic Wholes and Fractions
  247.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  248.    wt: 1:   015 School and work day counting tables
  249.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  250.    wt: 1:   4 Mixing and Changing Units of Time
  251.    wt: 1:   3 Units and Lengths of Time
  252.    wt: 1:   2 Time and Date Matters in School
  253.    wt: 1:   1 Intro of Kids To Time Date Skills
  254.    wt: 1:   Example 1. Area Between x and x squared
  255.    wt: 1:   17 Derivatives of quotients of sine and cosine
  256.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  257.    wt: 1:   15 sine and cosine derivatives 3rd step
  258.    wt: 1:   14 sine and cosine derivatives 2nd step
  259.    wt: 1:   13 sine and cosine derivatives 1st step
  260.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  261.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  262.    wt: 1:   9 Limits Continuity and Composition
  263.    wt: 1:   5 Jumps and absence of unlimited error control
  264.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  265.    wt: 1:   PostScript For and Against Decimal Perspectives
  266.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  267.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  268.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  269.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  270.    wt: 1:   Chapter 12. Units and Slopes
  271.    wt: 1:   Chapter 10 Slopes and Units
  272.    wt: 1:   Chapter 7 Slopes and Velocity
  273.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  274.    wt: 1:   Chapter 2. Slopes and Ski Trails
  275.    wt: 1:   Appendix E. How To Study Mathematics and Why
  276.    wt: 1:   Appendix D. What to do in School and Why
  277.    wt: 1:   Chapter 31 Direct and Indirect Reason
  278.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  279.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  280.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  281.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  282.    wt: 1:   Chapter 20. Degrees and Radians
  283.    wt: 1:   Chapter 19. Functions and Sets
  284.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  285.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  286.    wt: 1:   Chapter 11. Why Shorthand
  287.    wt: 1:   Chapter 10 Describing and Changing Calculations
  288.    wt: 1:   Chapter 8 Three Skills For Algebra
  289.    wt: 1:   Chapter 6 Change of Language
  290.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  291.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  292.    wt: 1:   Chapter 2 For and Against Mathematics
  293.    wt: 1:   Postscript B More on Story Telling and Reason
  294.    wt: 1:   Chapter 24 Direct and Indirect Reason
  295.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  296.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  297.    wt: 1:   Chapter 18 Sense and Knowledge
  298.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  299.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  300.    wt: 1:   Chapter 8 Change of Language
  301.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  302.    wt: 1:   R Why Learn Mathematics Skills
  303.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  304.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  305.    wt: 1:   O On Learning Mathematics and Science
  306.    wt: 1:   L Skills with take home value
  307.    wt: 1:   N Improving Marks on Tests and Finals
  308.    wt: 1:   H Jigsaw puzzles and problem solving
  309.    wt: 1:   E. When and how to correct errors
  310.    wt: 1:   D. Check work a must with a caution
  311.    wt: 1:   A. Skill has to be seen to believed
  312.    wt: 1:   Chapter 8 Skipped Topics and Why
  313.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  314.    wt: 1:   Chapter 6 More Algebra and Geometry
  315.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  316.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  317.    wt: 1:   7 Games and Activities for Instruction
  318.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  319.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  320.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  321.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  322.    wt: 1:   Helping the Blind in Logic and Mathematics
  323.    wt: 1:   More Algebra and Slope based Calculus Preview
  324.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  325.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  326.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  327.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  328.    wt: 1:   The Math Forum and Site Content

Extended Search

674 matches:

  1.    wt: 5:   1 More and Less Than for Counts and Measures
  2.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  3.    wt: 5:   7 Calculator Usage Notes and Cautions
  4.    wt: 5:   8 What skills and work habits to require
  5.    wt: 5:   6. Counting and adding units and mixed units
  6.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  7.    wt: 4:   24 Standards For Skill Develoment Take II
  8.    wt: 4:   24 Standards For Skill Develoment
  9.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  10.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  11.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  12.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  13.    wt: 4:   17 Math Booklets for children and young teenagers
  14.    wt: 4:   2 Reading and Writing Skills
  15.    wt: 4:   2 More and Less Than with Unlike Signs
  16.    wt: 4:   1 Squares and Square Roots Introduction
  17.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  18.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  19.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  20.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  21.    wt: 4:   7 GCD and LCM from prime factorization
  22.    wt: 4:   4 LCM of 8 and 10 via Prime
  23.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  24.    wt: 4:   2 Least Common Multiple LCM intro via list method
  25.    wt: 4:   3 Counting with Tables and Trees II
  26.    wt: 4:   2 Counting with Tables and Trees I
  27.    wt: 4:   1 Counting and Counting Methods I
  28.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  29.    wt: 4:   3 Multiplying Units and Numbers
  30.    wt: 4:   2 Equality and Units
  31.    wt: 4:   1 Addition and Subtraction with Units
  32.    wt: 4:   B Fractions and Two Term Ratios
  33.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  34.    wt: 4:   21 Reciprocals for Fractions and Wholes
  35.    wt: 4:   17 Efficient Ways to Add and Subtract
  36.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  37.    wt: 4:   14 Adding and Subtracting with Like Denominators
  38.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  39.    wt: 4:   9 Improper Fractions and Mixed Numbers
  40.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  41.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  42.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  43.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  44.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  45.    wt: 4:   17 Identify and Count Factors using Primes
  46.    wt: 4:   12 LCD GCD and LCM using Primes
  47.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  48.    wt: 4:   5 Prime Factorization and a Square Rule
  49.    wt: 4:   3 video Primes and Composites from 9 times table
  50.    wt: 4:   2 Prime and Composites less than 16
  51.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  52.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  53.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  54.    wt: 4:   I. Logic and language skills
  55.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  56.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  57.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  58.    wt: 4:   Multiple Ways to Improve Mathematics Skill Development
  59.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  60.    wt: 4:   Systematic Algebra Skill Development Missing Links
  61.    wt: 3:   Home Tutoring and Home Schooling
  62.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  63.    wt: 3:   22 Student Centered Highschool Mathematics
  64.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  65.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  66.    wt: 3:   14 Multiplication and Times Tables
  67.    wt: 3:   13 Addition and Addition Tables
  68.    wt: 3:   12 Goals and Objectives For Mathematics
  69.    wt: 3:   11 Help and Defend Your Child or Teens Education
  70.    wt: 3:   5 Patience Please for Yourself and Your Charges
  71.    wt: 3:   4 Learning Takes Time and Effort
  72.    wt: 3:   1 Speaking Skills
  73.    wt: 3:   Ages 12 to 14 Skills with take home value
  74.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  75.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  76.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  77.    wt: 3:   7 Exercises to test skill and concept mastery
  78.    wt: 3:   2 Combing Counts Addition Skills and Principles
  79.    wt: 3:   2 More and Less Than for Counts and Measures
  80.    wt: 3:   Skill Development Notes
  81.    wt: 3:   4 Greater More Less Than Signs in General
  82.    wt: 3:   3 Comparison of Negative Numbers
  83.    wt: 3:   5 Square Roots with primes more still
  84.    wt: 3:   4 Square Roots with primes more
  85.    wt: 3:   3 Properties of Square Roots with example
  86.    wt: 3:   2 Square Roots with Prime
  87.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  88.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  89.    wt: 3:   13 GCD from given Prime Factorization
  90.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  91.    wt: 3:   8 GCD from Euclidean Algorithm
  92.    wt: 3:   6 GCD from Prime
  93.    wt: 3:   5 Common Divisors 60 45 via Prime
  94.    wt: 3:   1 Least Common Multiples LCM Introduction
  95.    wt: 3:   12 GCD 2700 288 via Prime
  96.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  97.    wt: 3:   4 Counting with Trees Product Rule Take I
  98.    wt: 3:   11 What are real lengths and numbers
  99.    wt: 3:   7 negative and additive inverse
  100.    wt: 3:   5 lengths and signs of numbers
  101.    wt: 3:   3 signed coordinates for maps and planes
  102.    wt: 3:   2 signed and unsigned numbers as coordinates
  103.    wt: 3:   7 Converting or Changing Units
  104.    wt: 3:   6 Simplification of Fractions with Units
  105.    wt: 3:   4 Fractions with Units
  106.    wt: 3:   D Three Term Ratios
  107.    wt: 3:   22 Complex Compound Fractions
  108.    wt: 3:   21 Working With Signs
  109.    wt: 3:   20 Dividing Fractions the Why
  110.    wt: 3:   19 Dividing Fractions How TO
  111.    wt: 3:   18 Efficient Ways to Multiply
  112.    wt: 3:   16 Addition Subtraction Comparision Compared
  113.    wt: 3:   13 Fraction Comparison Algebraic View
  114.    wt: 3:   12 Fraction Comparison
  115.    wt: 3:   11 Simplification an Algebraic View
  116.    wt: 3:   8 Numerals Fractionals Quantals Take II
  117.    wt: 3:   7 Numerals Fractionals Quantals
  118.    wt: 3:   6 Multiplication of Mixed Numbers
  119.    wt: 3:   6 Multiplication Algebraically Take II
  120.    wt: 3:   5 Equivalent Fractions
  121.    wt: 3:   4 Fraction Multiplication
  122.    wt: 3:   3 Unit fraction of a fraction
  123.    wt: 3:   2 Unit Fraction Multiplication
  124.    wt: 3:   1 What is a fraction Take II
  125.    wt: 3:   1 What is a fraction
  126.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  127.    wt: 3:   11 Adding Integers Formulas and Examples
  128.    wt: 3:   5 Zero Movement and Additive Inverses
  129.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  130.    wt: 3:   26 Divisibility by 2 3 5 Example
  131.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  132.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  133.    wt: 3:   23 Remainder Arithmetic Modulo 2
  134.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  135.    wt: 3:   21 Remainder Arithmetic Modulo 3
  136.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  137.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  138.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  139.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  140.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  141.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  142.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  143.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  144.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  145.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  146.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  147.    wt: 3:   5 Remainder Arithmetic Modulo 5
  148.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  149.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  150.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  151.    wt: 3:   1 Remainder Arithmetic Modulo 10
  152.    wt: 3:   20 Uniqueness of Prime Factorization
  153.    wt: 3:   19 video Prime Factorization Unique
  154.    wt: 3:   18 video Count Factors given Prime Factorization
  155.    wt: 3:   16 video Factors of 980 using prime
  156.    wt: 3:   15 video Factors of 20 using Prime Factorization
  157.    wt: 3:   14 video Factors of 24 Take II
  158.    wt: 3:   13 video Factors of 24 using prime
  159.    wt: 3:   11 Efficient Square Rule Use
  160.    wt: 3:   10 video Prime Factorization upto 23 squared
  161.    wt: 3:   9 video Prime Factorization upto 19 squared
  162.    wt: 3:   8 video Prime Factorization upto 19
  163.    wt: 3:   4 video Prime Factorization Introduction
  164.    wt: 3:   1 video how Products are bigger than factor
  165.    wt: 3:   Division with Counts and Length
  166.    wt: 3:   Long Division forwards and backwards Example 3
  167.    wt: 3:   Long Division forwards and backwards Example 2
  168.    wt: 3:   Long Division forwards and backwards Example 1
  169.    wt: 3:   10 Division by Five Long and Short Ways
  170.    wt: 3:   4 Two and Three Digit Multipliers
  171.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  172.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  173.    wt: 3:   Subtraction with J Conversions Example
  174.    wt: 3:   Subtraction Another Video Lesson
  175.    wt: 3:   9 22 Minute Subtraction Review Video
  176.    wt: 3:   8 Subtraction with Units of Measure
  177.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  178.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  179.    wt: 3:   5 A Tip for Efficent Subtraction
  180.    wt: 3:   2 Subtraction Easy Case Examples
  181.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  182.    wt: 3:   7 Adding decimal fractions using decimal point
  183.    wt: 3:   5. How to add decimals C. Examples
  184.    wt: 3:   4. How to add with decimals B with conversions
  185.    wt: 3:   3. How to add with decimals A sans conversions
  186.    wt: 3:   2 Decimal Counting Practices
  187.    wt: 3:   1. Explaining Addition Table
  188.    wt: 3:   11 Place Value SI Standard International way
  189.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  190.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  191.    wt: 3:   Quick history of numbers and algebra
  192.    wt: 3:   Exact Arithmetic Wholes and Fractions
  193.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  194.    wt: 3:   Chapter 12. Shorthand Usage Guide
  195.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  196.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  197.    wt: 3:   J. More on written work and showing skill
  198.    wt: 3:   G. Written work formats for developing and showing skill
  199.    wt: 3:   How to Build Skills and Confidence
  200.    wt: 3:   7 Games and Activities for Instruction
  201.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  202.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  203.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  204.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  205.    wt: 3:   Helping the Blind in Logic and Mathematics
  206.    wt: 3:   More Algebra and Slope based Calculus Preview
  207.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  208.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  209.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  210.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  211.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  212.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  213.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  214.    wt: 2:   18 Primary School Mathematics
  215.    wt: 2:   16 Secondary Mathematics Tips
  216.    wt: 2:   15 Counting For Parents
  217.    wt: 2:   10 Ends values for work study instruction
  218.    wt: 2:   9 Streaming by Student Cooperation
  219.    wt: 2:   8 The Effect of Negative Remarks
  220.    wt: 2:   7 Student Motivation
  221.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  222.    wt: 2:   3 Preparing for Science Studies
  223.    wt: 2:   Ages 12 to 14 Geometry
  224.    wt: 2:   Ages 12 to 14 Arithmetic
  225.    wt: 2:   Ages 10 to 12 Geometry
  226.    wt: 2:   Ages 10 to 12 Arithmetic
  227.    wt: 2:   Ages 9 to 10
  228.    wt: 2:   Ages 8 to 9
  229.    wt: 2:   Ages 7 to 8
  230.    wt: 2:   Ages 6 to 7
  231.    wt: 2:   Ages 4 plus to 5 plus
  232.    wt: 2:   Ages 3 plus to 4 plus
  233.    wt: 2:   9 Summary Degrees to Radians and back
  234.    wt: 2:   1 Degrees and Radians Introduction
  235.    wt: 2:   Parallel Lines and Parallel Transversals
  236.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  237.    wt: 2:   Parallel Lines and Interior Angles
  238.    wt: 2:   14 cosine even and sine and tangent are odd
  239.    wt: 2:   10 Midpoint of [a b] and [b a]
  240.    wt: 2:   1 Numerical view of lines and their equations
  241.    wt: 2:   What is and is not here
  242.    wt: 2:   6 Polar Multiplication and Rotation
  243.    wt: 2:   5 Cartesian Addition and Translation
  244.    wt: 2:   4 Polar Coordinates to and from
  245.    wt: 2:   3 Lengths and Areas on Maps and Plans
  246.    wt: 2:   A Modular and Remainder Arithmetic
  247.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  248.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  249.    wt: 2:   13 Arrows and Vectors in a Plane
  250.    wt: 2:   11 Signed Number Addition and Addition Properties
  251.    wt: 2:   8 Division and Mulplication of Compound Fractions
  252.    wt: 2:   B Decimal Comparison and Subtraction
  253.    wt: 2:   3 Multiplicative Counting Skills Principles
  254.    wt: 2:   4 Rates Ratios and Proporitionality
  255.    wt: 2:   6 Equations and Systems Equivalent or Implied
  256.    wt: 2:   4 Subtraction and Division Axioms
  257.    wt: 2:   2 Addition and Multiplication Axioms
  258.    wt: 2:   3 More and Less Than with Unlike Signs
  259.    wt: 2:   3 Geometric Formulas and Function Notation
  260.    wt: 2:   1 Formulas Dependence and Function Notation
  261.    wt: 2:   1 Written work formats for developing and showing skill
  262.    wt: 2:   arithmetic videos Real Player Format
  263.    wt: 2:   10 dividing signed numbers
  264.    wt: 2:   9 subtracting signed numbers
  265.    wt: 2:   8 multiplying signed numbers
  266.    wt: 2:   6 adding signed numbers
  267.    wt: 2:   4 signed coordinates for regions in space
  268.    wt: 2:   D Remainders Modulo 11 Pair Rule
  269.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  270.    wt: 2:   B Integer Long Division Multiple Choices
  271.    wt: 2:   A Associative Law Theorectical Note
  272.    wt: 2:   13 Subtraction with Additive Inverse
  273.    wt: 2:   12 Adding Integers More Examples
  274.    wt: 2:   10 Integer Multiplication Formulas
  275.    wt: 2:   9 Multiplying Integers
  276.    wt: 2:   8 Multiplication by Signed Numbers Integers
  277.    wt: 2:   7 Multiplication by Signs
  278.    wt: 2:   6 Multiplication by Natural Numbers
  279.    wt: 2:   4 Adding Movements wiht opposite directions
  280.    wt: 2:   3 Adding Movements with same direction
  281.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  282.    wt: 2:   1 Integers as Coordinates
  283.    wt: 2:   Long Division Backwards more
  284.    wt: 2:   Long Division Backward
  285.    wt: 2:   12 Why Long Division Works Take III
  286.    wt: 2:   11 Another Single Digit Divisor Example
  287.    wt: 2:   9 Why Long Division Works Take II
  288.    wt: 2:   8 Correcting the Mistake
  289.    wt: 2:   7 Long Divison Mistake Catching
  290.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  291.    wt: 2:   5 Long Division Include Zeroes or not
  292.    wt: 2:   4 Division with 2 Digit Divsors
  293.    wt: 2:   3 Division Single Digit Divisor Example
  294.    wt: 2:   2 Division with Single Digit Divisors
  295.    wt: 2:   1 Divsion Physical Examples
  296.    wt: 2:   D Decimal Multiplication Methods Derived
  297.    wt: 2:   C Counting Areas with Powers of Ten
  298.    wt: 2:   B Powers of Ten
  299.    wt: 2:   A Elementary Basis for Multiplication Methods
  300.    wt: 2:   6 Multiplication Commutes Order Not Important
  301.    wt: 2:   5 Decimal Fraction Multiplication
  302.    wt: 2:   3 More One Digit Multipliers
  303.    wt: 2:   2 One Digit Multipliers
  304.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  305.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  306.    wt: 2:   Video Power Notation in Decimal Expansion
  307.    wt: 2:   1 Why 3 times 5 gives 15
  308.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  309.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  310.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  311.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  312.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  313.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  314.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  315.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  316.    wt: 2:   Formula Evaluation how to show work
  317.    wt: 2:   Expression Evaluation how to show work
  318.    wt: 2:   The 20 Times Table
  319.    wt: 2:   The 12 Times Table Visually
  320.    wt: 2:   About folder contents
  321.    wt: 2:   015 School and work day counting tables
  322.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  323.    wt: 2:   4 Mixing and Changing Units of Time
  324.    wt: 2:   3 Units and Lengths of Time
  325.    wt: 2:   2 Time and Date Matters in School
  326.    wt: 2:   1 Intro of Kids To Time Date Skills
  327.    wt: 2:   Example 1. Area Between x and x squared
  328.    wt: 2:   38 Formulas and derivatives for powers and roots
  329.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  330.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  331.    wt: 2:   9 Limits Continuity and Composition
  332.    wt: 2:   5 Jumps and absence of unlimited error control
  333.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  334.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  335.    wt: 2:   Appendix E. How To Study Mathematics and Why
  336.    wt: 2:   Appendix D. What to do in School and Why
  337.    wt: 2:   Chapter 31 Direct and Indirect Reason
  338.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  339.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  340.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  341.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  342.    wt: 2:   Chapter 20. Degrees and Radians
  343.    wt: 2:   Chapter 19. Functions and Sets
  344.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  345.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  346.    wt: 2:   Chapter 11. Why Shorthand
  347.    wt: 2:   Chapter 10 Describing and Changing Calculations
  348.    wt: 2:   Chapter 8 Three Skills For Algebra
  349.    wt: 2:   Chapter 6 Change of Language
  350.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  351.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  352.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  353.    wt: 2:   Chapter 2 Skill Development
  354.    wt: 2:   R Why Learn Mathematics Skills
  355.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  356.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  357.    wt: 2:   O On Learning Mathematics and Science
  358.    wt: 2:   L Skills with take home value
  359.    wt: 2:   N Improving Marks on Tests and Finals
  360.    wt: 2:   H Jigsaw puzzles and problem solving
  361.    wt: 2:   E. When and how to correct errors
  362.    wt: 2:   D. Check work a must with a caution
  363.    wt: 2:   A. Skill has to be seen to believed
  364.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  365.    wt: 2:   Mathematics Education References
  366.    wt: 2:   Mathematics Education References
  367.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  368.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  369.    wt: 2:   Implementation Notes
  370.    wt: 2:   Which Way To Go
  371.    wt: 1:   Appendix 1 primary and preschool mathematic
  372.    wt: 1:   G LAMP Introduction Problem Solving Skills
  373.    wt: 1:   Skills Chapter 5 Calculus
  374.    wt: 1:   Skills Chapter 4 Logic
  375.    wt: 1:   Skills Chapter 3 Algebra
  376.    wt: 1:   Skills Chapter 2 Geometry
  377.    wt: 1:   Skills Chapter 1 Arithmetic
  378.    wt: 1:   Skills Chapter 0 Introduction
  379.    wt: 1:   7 logic review and decimals an odd combination
  380.    wt: 1:   5 logarithms and exponentials etc
  381.    wt: 1:   key notes and themes
  382.    wt: 1:   what should be learnt and When
  383.    wt: 1:   05 13 OldSiteEntrancePage
  384.    wt: 1:   standards for course material
  385.    wt: 1:   Education in mathematics science and technology
  386.    wt: 1:   Motivation and Context Problem
  387.    wt: 1:   fairness and inductive principles for instruction
  388.    wt: 1:   chapitre 04 06 engagements
  389.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  390.    wt: 1:   26 Function definitions done and coming
  391.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  392.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  393.    wt: 1:   19 Horizontal line rule and method
  394.    wt: 1:   18 Vertical Line Rule and Method
  395.    wt: 1:   17 Function maxima minima and their location
  396.    wt: 1:   11 Function Domain Range Source and Targets
  397.    wt: 1:   8 Set view of relations and functions
  398.    wt: 1:   6 Set Existence Formation and Notation
  399.    wt: 1:   4 Function notation in and beyond mathematics
  400.    wt: 1:   9 quadratics physical and further context
  401.    wt: 1:   11 Growth and Decay in Biology
  402.    wt: 1:   10 Exponential Growth and Decay Models
  403.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  404.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  405.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  406.    wt: 1:   16 cotangent function Definition Graph and Inverse
  407.    wt: 1:   15 cosecant function Definition Graph and Inverse
  408.    wt: 1:   14 secant function Definition Graph and Inverse
  409.    wt: 1:   13 cosecant function Definition Graph and Inverse
  410.    wt: 1:   8 Radian Measures of Common Angles
  411.    wt: 1:   7 Radian Measures in special Triangles
  412.    wt: 1:   6 Radian Measure to Degrees
  413.    wt: 1:   5 Degrees to Radian Measure
  414.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  415.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  416.    wt: 1:   2 Radian Measure Numerical Value of one degree
  417.    wt: 1:   A Global Time and Navigation
  418.    wt: 1:   15 Dot and Cross Product
  419.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  420.    wt: 1:   Vector and Complex Number Applet
  421.    wt: 1:   4 graphing y=Asin(x c)
  422.    wt: 1:   3 graphing y=f(x c) plus K
  423.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  424.    wt: 1:   1 graphing y=f(x a)
  425.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  426.    wt: 1:   Triangle Angles Sum To 180 Degrees
  427.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  428.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  429.    wt: 1:   Straight Lines ASA Intersection Study More
  430.    wt: 1:   Straight Lines ASA Intersection Study
  431.    wt: 1:   Straight Lines Instersection Solving Equations
  432.    wt: 1:   Straight Lines Intersection of
  433.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  434.    wt: 1:   C Straight Lines Slope from Coordinates
  435.    wt: 1:   B Straight Line Slope Scaling Properties More
  436.    wt: 1:   A Straight Line Slope Scaling Properties
  437.    wt: 1:   14 Straight Lines Equations General Case
  438.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  439.    wt: 1:   12 Straight Lines Graphing mx plus b
  440.    wt: 1:   11 Straight Lines Graphing y=mx
  441.    wt: 1:   10 Straight Lines through Origin Equations More
  442.    wt: 1:   9 Straight Lines through Origin Equations
  443.    wt: 1:   8 Straight Lines Equation for vertical
  444.    wt: 1:   7 Tangent Function is odd on this domain
  445.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  446.    wt: 1:   5 Tangent Function Graph
  447.    wt: 1:   4 Tangent Function Properties
  448.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  449.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  450.    wt: 1:   1 Straight Lines Slope Concept
  451.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  452.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  453.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  454.    wt: 1:   29 secant cosecant and cotangent for acute angles
  455.    wt: 1:   27 Logarithmic use of products of sines and cosines
  456.    wt: 1:   26 Formulas for products of sines and cosines
  457.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  458.    wt: 1:   21 sine and cosine Half Angle Formulas
  459.    wt: 1:   20 sine and cosine Double Angle Formulas
  460.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  461.    wt: 1:   17E Trig Formulas for dot and cross Products
  462.    wt: 1:   17D cis formulas for sine cosines and tangent
  463.    wt: 1:   17C sine and cosine double triple angle formulas
  464.    wt: 1:   10 Graphs of sines and cosines many periods
  465.    wt: 1:   9 Graphs of sine and cosine over one period
  466.    wt: 1:   7 period of sine and cosine
  467.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  468.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  469.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  470.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  471.    wt: 1:   Unit Circle Development of Trigonometry
  472.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  473.    wt: 1:   21 Logarithms Powers and Exponentials
  474.    wt: 1:   16 References and Originality Question
  475.    wt: 1:   13 Trig Formulas for dot and cross Products
  476.    wt: 1:   12 cis formulas for sine cosines and tangent
  477.    wt: 1:   11 sine and cosine double triple angle formulas
  478.    wt: 1:   8 Unit Circle Development of Trigonometry
  479.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  480.    wt: 1:   3 Trigonometric Ratios sine and cosine
  481.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  482.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  483.    wt: 1:   8 Similarity of Triangles and Polygons
  484.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  485.    wt: 1:   Four Simple Exercises
  486.    wt: 1:   12 Links Lessons elsewhere
  487.    wt: 1:   11 A Partial Summary
  488.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  489.    wt: 1:   8 Mid Point Formula
  490.    wt: 1:   6 Intersection of lines by solving linear systems
  491.    wt: 1:   5 Algebraic View of Slopes
  492.    wt: 1:   4 Equations for lines three forms
  493.    wt: 1:   3 Slope product for perpendicular lines
  494.    wt: 1:   2 point slope equation for a line
  495.    wt: 1:   13 Pythagorean spatial distance formulas
  496.    wt: 1:   12 Spatial Coordinates
  497.    wt: 1:   11 Triangle Inequality
  498.    wt: 1:   10 Pythagorean plane distance formula
  499.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  500.    wt: 1:   8 Distance Between Points on a Line
  501.    wt: 1:   7 Complex Numbers Appetizer
  502.    wt: 1:   3 Rectangular Coordinates Review
  503.    wt: 1:   2 Cartesian Coordinates with signs
  504.    wt: 1:   1 Cartesian Coordinates sans signs
  505.    wt: 1:   16 Angles Subtended By Chords and Diameters
  506.    wt: 1:   6 Ruler and compass Angle Bisection
  507.    wt: 1:   1 Initial Concepts and Terms
  508.    wt: 1:   musings do not puiblish real numbers
  509.    wt: 1:   A Signed Number Arithmetic Review
  510.    wt: 1:   26 More Less Greater Than Comparison
  511.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  512.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  513.    wt: 1:   23 Distributive Law Two Derivations
  514.    wt: 1:   22 Multiplication of Signed Numbers
  515.    wt: 1:   21 Addition of Multiples of a Single Vector
  516.    wt: 1:   19 Signed Multiples of Vectors
  517.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  518.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  519.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  520.    wt: 1:   15 Head to Tails in place Addition Associative
  521.    wt: 1:   12 Real Numbers Line Signed Coordinates
  522.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  523.    wt: 1:   9 Division with Digits after Decimal Point
  524.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  525.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  526.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  527.    wt: 1:   4 Location of Point in Decimal Addition
  528.    wt: 1:   3 Location of Point in Decimal Multiplication
  529.    wt: 1:   2 Counting Digits in Decimal Multiplication
  530.    wt: 1:   1 Fractions with Finite Decimal Expansions
  531.    wt: 1:   E Long Division Methods more
  532.    wt: 1:   D Long Division Methods
  533.    wt: 1:   C Three Decimal Subtraction Methods
  534.    wt: 1:   A Decimal Addition Columm Methods
  535.    wt: 1:   8 Column Multiplication Methods in General
  536.    wt: 1:   7 Decimals Multiplication Methods Examples
  537.    wt: 1:   6 Column Methods for Decimal Multiplication
  538.    wt: 1:   5 Distributive Law for Whole Numbers
  539.    wt: 1:   4 Commutative Law Groups Counting Form
  540.    wt: 1:   1 The Counting Origins of Numbers
  541.    wt: 1:   4 Fraction Operations Axiomatic Development
  542.    wt: 1:   2 Fraction Operations Physical Development
  543.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  544.    wt: 1:   5 Proportionality in Equivalent Fractions
  545.    wt: 1:   3 Proportionality Examples
  546.    wt: 1:   2 Algebraic View
  547.    wt: 1:   1 What is Proportionality
  548.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  549.    wt: 1:   6 Compound Interest Forward and Backwards
  550.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  551.    wt: 1:   5 Equality in Algebra
  552.    wt: 1:   3 Product Axioms Two Forms
  553.    wt: 1:   1 Equivalent Computation Rules
  554.    wt: 1:   5 Greater More Less Than Signs in General
  555.    wt: 1:   4 Comparison of Negative Numbers
  556.    wt: 1:   1 Real Numbers Comparison
  557.    wt: 1:   10 Real Number Lengths and Signs
  558.    wt: 1:   8 Coordinates for Maps and Planes
  559.    wt: 1:   1 Whole and Natural Numbers
  560.    wt: 1:   5 Independent versus Dependent Variables
  561.    wt: 1:   4 Changing Letters
  562.    wt: 1:   2 Computation Rules Evaluation
  563.    wt: 1:   3 GE III Equation Addition and Multiplication
  564.    wt: 1:   1 Proper Equal Sign Usage
  565.    wt: 1:   10 One Example
  566.    wt: 1:   9 Three Examples
  567.    wt: 1:   8 One Example
  568.    wt: 1:   7 Two Examples
  569.    wt: 1:   6 Three Examples
  570.    wt: 1:   5 Three Examples
  571.    wt: 1:   4 Two Examples
  572.    wt: 1:   3 Two Examples
  573.    wt: 1:   2 Three Examples
  574.    wt: 1:   Formula Usage Show Work Format
  575.    wt: 1:   9 Sets in Probability and Statistics
  576.    wt: 1:   5 Talking about Numbers and Quantities
  577.    wt: 1:   4 A Brief Story of numbers and algebra
  578.    wt: 1:   1 Three Skills For Algebra
  579.    wt: 1:   016 Numbering Occidental Calendar Days
  580.    wt: 1:   014 Counting Days with Calendars
  581.    wt: 1:   013 Travel Time Tables
  582.    wt: 1:   012 Division of Time Intervals by Time Intervals
  583.    wt: 1:   011 Division of Time Intervals By Numbers
  584.    wt: 1:   010 Repeated Addition of Time Intervals
  585.    wt: 1:   8 Addition of Time Intervals via subtotaling
  586.    wt: 1:   7 Addition of Time Intervals
  587.    wt: 1:   6 How long is a million seconds
  588.    wt: 1:   5 Conversion Arithmetic
  589.    wt: 1:   Example 2 volume of a cone
  590.    wt: 1:   Example 1 volume of a pyramid
  591.    wt: 1:   Volume of Solid by Cross Sections Lesson
  592.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  593.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  594.    wt: 1:   Example 4 with x function of y
  595.    wt: 1:   Example 3
  596.    wt: 1:   Example 2
  597.    wt: 1:   Example 1
  598.    wt: 1:   Area Between Curves Lesson Take 2
  599.    wt: 1:   Area Between Curves Lesson Take 1
  600.    wt: 1:   Summary
  601.    wt: 1:   17 Derivatives of quotients of sine and cosine
  602.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  603.    wt: 1:   15 sine and cosine derivatives 3rd step
  604.    wt: 1:   14 sine and cosine derivatives 2nd step
  605.    wt: 1:   13 sine and cosine derivatives 1st step
  606.    wt: 1:   11 Limits at infinity Three Examples
  607.    wt: 1:   10 Three one sided limits with infinite values
  608.    wt: 1:   8 Four Animated Examples
  609.    wt: 1:   7 Evaluation by immediate or delayed substitution
  610.    wt: 1:   6 Continuity at a point
  611.    wt: 1:   4 Numerical properties
  612.    wt: 1:   3 Decimal insights for limits continuity convergence
  613.    wt: 1:   2 Algebraic codification
  614.    wt: 1:   1 Numerical introduction
  615.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  616.    wt: 1:   PostScript For and Against Decimal Perspectives
  617.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  618.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  619.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  620.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  621.    wt: 1:   Chapter 12. Units and Slopes
  622.    wt: 1:   Chapter 10 Slopes and Units
  623.    wt: 1:   Chapter 7 Slopes and Velocity
  624.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  625.    wt: 1:   Chapter 2. Slopes and Ski Trails
  626.    wt: 1:   Postscript More on Better Performance
  627.    wt: 1:   Postscript For Better Performance
  628.    wt: 1:   Appendix C. How to Read
  629.    wt: 1:   Appendix B. How To Learn
  630.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  631.    wt: 1:   Chapter 30 Truth Tables
  632.    wt: 1:   Chapter 28 Occurrence Tables
  633.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  634.    wt: 1:   Chapter 25. Mathematical Induction Examples
  635.    wt: 1:   Chapter 23. Notation For Sums
  636.    wt: 1:   Chapter 21. Third Reading Guide
  637.    wt: 1:   Chapter 18. Rules for Algebra
  638.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  639.    wt: 1:   Chapter 16. Painless Theorem Proving
  640.    wt: 1:   Chapter 15. Solving Linear Equations
  641.    wt: 1:   Chapter 13. Second Reading Guide
  642.    wt: 1:   Postscript What is a Variable
  643.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  644.    wt: 1:   Solutions For Arithmetic Exercises
  645.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  646.    wt: 1:   Chapter 4 Longer Chains of Reason
  647.    wt: 1:   Chapter 3 Chains of Reason
  648.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  649.    wt: 1:   Foreword
  650.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  651.    wt: 1:   Chapter 2 For and Against Mathematics
  652.    wt: 1:   Postscript B More on Story Telling and Reason
  653.    wt: 1:   Chapter 24 Direct and Indirect Reason
  654.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  655.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  656.    wt: 1:   Chapter 18 Sense and Knowledge
  657.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  658.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  659.    wt: 1:   Chapter 8 Change of Language
  660.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  661.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  662.    wt: 1:   S Adding words to algebra
  663.    wt: 1:   N Mathematics Prepare for College Studies
  664.    wt: 1:   M Words to extend arithmetic
  665.    wt: 1:   H more Routine to non routine problem solving
  666.    wt: 1:   F. The student teacher tutor feedback loop
  667.    wt: 1:   C. Domino effect of being careful
  668.    wt: 1:   B. Domino effect of errors
  669.    wt: 1:   Chapter 8 Skipped Topics and Why
  670.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  671.    wt: 1:   Chapter 6 More Algebra and Geometry
  672.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  673.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  674.    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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