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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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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  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  4.    wt: 2:   5 Lessons on Integration/
  5.    wt: 2:   4 Lessons on Using Derivatives/
  6.    wt: 2:   38 Lessons on Calculating Derivatives/
  7.    wt: 2:   13 Lessons on Limits and Continuity/
  8.    wt: 1:   LAMP Lean Applied Mathematics Program/
  9.    wt: 1:   Archives/
  10.    wt: 1:   B Real Numbers Extrinsic Development/
  11.    wt: 1:   A Origins of Counting and Figuring Methods/
  12.    wt: 1:   10 Examples of Algebraic Reasoning/
  13.    wt: 1:   9 Proportionality Backwards and Forwards/
  14.    wt: 1:   8 Unifying Theme For Algebra/
  15.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  16.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  17.    wt: 1:   5 Real Numbers/
  18.    wt: 1:   4 Computation Rules and Function Notation/
  19.    wt: 1:   Step 4 Gaussian Elimination/
  20.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  21.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  22.    wt: 1:   Step 1 Stick diagram and fractions/
  23.    wt: 1:   3 Solving Linear Equations/
  24.    wt: 1:   2 Formula Forward Use Evaluation/
  25.    wt: 1:   1 Working With Sets/
  26.    wt: 1:   Algebra Starter Lessons/
  27.    wt: 1:   70 Calculus Starter Lessons/
  28.    wt: 1:   Mathematics 506 Lessons/

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30 matches:

  1.    wt: 1:   K LAMP Musings Science Education
  2.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 1:   links Education Resources online
  4.    wt: 1:   About site lesson plans
  5.    wt: 1:   Mathematics Education Professors
  6.    wt: 1:   modern education
  7.    wt: 1:   Education Reform Inconsistencies
  8.    wt: 1:   three goals for Mathematics Education
  9.    wt: 1:   02 20 mathematics education references
  10.    wt: 1:   Education in mathematics science and technology
  11.    wt: 1:   Four ways to improve education reform
  12.    wt: 1:   education an empirical art
  13.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  14.    wt: 1:   11 Help and Defend Your Child or Teens Education
  15.    wt: 1:   7 Links Lessons Elsewhere
  16.    wt: 1:   12 Links Lessons elsewhere
  17.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  18.    wt: 1:   Subtraction Another Video Lesson
  19.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  20.    wt: 1:   Volume of Solid by Cross Sections Lesson
  21.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  22.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  23.    wt: 1:   Area Between Curves Lesson Take 2
  24.    wt: 1:   Area Between Curves Lesson Take 1
  25.    wt: 1:   A Related lessons in Volume 3
  26.    wt: 1:   Postscript B Mathematics Education References
  27.    wt: 1:   Chapter 3 Algebra Starter Lessons
  28.    wt: 1:   Mathematics Education References
  29.    wt: 1:   Mathematics Education References
  30.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

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332 matches:

  1.    wt: 5:   links Education Resources online
  2.    wt: 5:   About site lesson plans
  3.    wt: 5:   Mathematics Education Professors
  4.    wt: 5:   modern education
  5.    wt: 5:   Education Reform Inconsistencies
  6.    wt: 5:   three goals for Mathematics Education
  7.    wt: 5:   02 20 mathematics education references
  8.    wt: 5:   Education in mathematics science and technology
  9.    wt: 5:   Four ways to improve education reform
  10.    wt: 5:   education an empirical art
  11.    wt: 4:   why bother
  12.    wt: 4:   which way to go
  13.    wt: 4:   website reviews
  14.    wt: 4:   three goals to set for students
  15.    wt: 4:   Teach the teachers plus goals
  16.    wt: 4:   permissions for teachers
  17.    wt: 4:   Math Ed if it must be short make it lean effective
  18.    wt: 4:   Applied Maths Program14092009 POMME variant
  19.    wt: 4:   activities for students
  20.    wt: 4:   site origins
  21.    wt: 4:   site eurekas
  22.    wt: 4:   key notes and themes
  23.    wt: 4:   teacher certification
  24.    wt: 4:   learning takes time
  25.    wt: 4:   grouping students according to ability
  26.    wt: 4:   what should be learnt and When
  27.    wt: 4:   mathematics in context
  28.    wt: 4:   Postscript 2007 01 10
  29.    wt: 4:   five decades make a difference
  30.    wt: 4:   Maps Plans Drawings
  31.    wt: 4:   how letters appear
  32.    wt: 4:   Secondary Three Mathematics
  33.    wt: 4:   Secondary Two Mathematics
  34.    wt: 4:   Secondary One Mathematics
  35.    wt: 4:   talk the algebra talk
  36.    wt: 4:   three difficulties
  37.    wt: 4:   teaching tips
  38.    wt: 4:   What to Tell Students
  39.    wt: 4:   mathematics curriculum shifts
  40.    wt: 4:   geometric implications for algebra
  41.    wt: 4:   teaching tutoring algebraic reason
  42.    wt: 4:   Lessening Algebra Difficulties
  43.    wt: 4:   the trouble with algebra
  44.    wt: 4:   05 13 OldSiteEntrancePage
  45.    wt: 4:   04 29 New Mathematics Curriculum
  46.    wt: 4:   04 25 when to stop or suspend mathemat
  47.    wt: 4:   02 21 words for teachers
  48.    wt: 4:   three aims for mathematics students
  49.    wt: 4:   standards for course material
  50.    wt: 4:   Operational Viewpoint to Value
  51.    wt: 4:   formal or informal peer review
  52.    wt: 4:   Theory of Knowledge
  53.    wt: 4:   mathematics instruction in general
  54.    wt: 4:   Different Kinds of Reasoning in maths
  55.    wt: 4:   three kinds of reason in mathematics
  56.    wt: 4:   cultivating intelligence
  57.    wt: 4:   How to be a better instructor
  58.    wt: 4:   Motivation and Context Problem
  59.    wt: 4:   need for a mixed mathematics curriculum
  60.    wt: 4:   Leaner mathematics curriculum
  61.    wt: 4:   Prequel In For A Penny In For A Pound
  62.    wt: 4:   fairness and inductive principles for instruction
  63.    wt: 4:   words for mathematics instructor
  64.    wt: 3:   Volume of Solid by Cross Sections Lesson
  65.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  66.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  67.    wt: 3:   Area Between Curves Lesson Take 2
  68.    wt: 3:   Area Between Curves Lesson Take 1
  69.    wt: 3:   A Related lessons in Volume 3
  70.    wt: 2:   K LAMP Musings Science Education
  71.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  72.    wt: 2:   11 pure mathematics
  73.    wt: 2:   10 statistics
  74.    wt: 2:   9 combinatorics probability sets
  75.    wt: 2:   8 analytic geometry etc
  76.    wt: 2:   7 logic review and decimals an odd combination
  77.    wt: 2:   6 polynomials etc
  78.    wt: 2:   5 logarithms and exponentials etc
  79.    wt: 2:   4 algebra
  80.    wt: 2:   3 Euclidean Geometry Leanly
  81.    wt: 2:   2 arithmetic with signed numbers
  82.    wt: 2:   1 arithmetic with unsigned numbers
  83.    wt: 2:   What is POMME
  84.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  85.    wt: 2:   Example 2 volume of a cone
  86.    wt: 2:   Example 1 volume of a pyramid
  87.    wt: 2:   Example 1. Area Between x and x squared
  88.    wt: 2:   Example 4 with x function of y
  89.    wt: 2:   Example 3
  90.    wt: 2:   Example 2
  91.    wt: 2:   Example 1
  92.    wt: 2:   Summary
  93.    wt: 2:   A Related Material in Volume 3
  94.    wt: 2:   5 Area Under Curve Exercise
  95.    wt: 2:   4 Definite Integrals Evaluation Exercises
  96.    wt: 2:   3 Two Chain Rule Method Exercises
  97.    wt: 2:   2 Indefinite Integrals Exercises
  98.    wt: 2:   1 Chain Rule in Reverse Integration Method
  99.    wt: 2:   4 Second derivative test exercise example
  100.    wt: 2:   3 Second derivative test
  101.    wt: 2:   2 Second derivative test prequel
  102.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  103.    wt: 2:   A Chain Rule Real Player video examples
  104.    wt: 2:   38 Formulas and derivatives for powers and roots
  105.    wt: 2:   36 Cube root derivative animated
  106.    wt: 2:   34 Derivative of exponential function
  107.    wt: 2:   33 Chain Rule Real Player video examples
  108.    wt: 2:   31 Derivatives of inverse functions
  109.    wt: 2:   30Chain Rule A Proof
  110.    wt: 2:   29 Chain Rule Optional Reading
  111.    wt: 2:   28 Chain Rule Preparation for a Proof
  112.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  113.    wt: 2:   26 Chain Rule Recognising outer inner functions
  114.    wt: 2:   25 Chain Rule Animated Examples Continued
  115.    wt: 2:   24 Chain Rule Animated Examples
  116.    wt: 2:   23 Chain Rule in general
  117.    wt: 2:   22 Chain Rule for polynomials
  118.    wt: 2:   21 Chain Rule for powers
  119.    wt: 2:   20 Chain Rule for Pulley Systems
  120.    wt: 2:   19 Chain Rule for linear functions
  121.    wt: 2:   18 Chain Rule Introduction
  122.    wt: 2:   17 Derivatives of quotients of sine and cosine
  123.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  124.    wt: 2:   15 sine and cosine derivatives 3rd step
  125.    wt: 2:   14 sine and cosine derivatives 2nd step
  126.    wt: 2:   13 sine and cosine derivatives 1st step
  127.    wt: 2:   12 Quotient rule examples
  128.    wt: 2:   11 Quotient rule
  129.    wt: 2:   10 Power rule for negative integers
  130.    wt: 2:   9 Reciprocal rule
  131.    wt: 2:   8 Differentiation of polynomials
  132.    wt: 2:   7 Animated Differentiation Examples
  133.    wt: 2:   6 Power rule from product rule
  134.    wt: 2:   5 Product Rule
  135.    wt: 2:   4 Sum Rule
  136.    wt: 2:   3 Motivation for Limit Definition Take 2
  137.    wt: 2:   2 Motivation for Limit Definition Take 1
  138.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  139.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  140.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  141.    wt: 2:   11 Limits at infinity Three Examples
  142.    wt: 2:   10 Three one sided limits with infinite values
  143.    wt: 2:   9 Limits Continuity and Composition
  144.    wt: 2:   8 Four Animated Examples
  145.    wt: 2:   7 Evaluation by immediate or delayed substitution
  146.    wt: 2:   6 Continuity at a point
  147.    wt: 2:   5 Jumps and absence of unlimited error control
  148.    wt: 2:   4 Numerical properties
  149.    wt: 2:   3 Decimal insights for limits continuity convergence
  150.    wt: 2:   2 Algebraic codification
  151.    wt: 2:   1 Numerical introduction
  152.    wt: 1:   Appendix 2 primary school Arithmetic 01
  153.    wt: 1:   Appendix 1 primary and preschool mathematic
  154.    wt: 1:   J LAMP Introduction Extrinsic Origins
  155.    wt: 1:   I LAMP Introduction Study Habits
  156.    wt: 1:   H LAMP Introduction Instructional Concepts
  157.    wt: 1:   G LAMP Introduction Problem Solving Skills
  158.    wt: 1:   F LAMP Introduction Prerequisites
  159.    wt: 1:   E LAMP Introduction Modern Mathematics
  160.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  161.    wt: 1:   A Introduction Objectives
  162.    wt: 1:   Skills Chapter 5 Calculus
  163.    wt: 1:   Skills Chapter 4 Logic
  164.    wt: 1:   Ramblings Extrinsic numbers theory
  165.    wt: 1:   Ramblings Introduction Algebra Essay
  166.    wt: 1:   Skills Chapter 3 Algebra
  167.    wt: 1:   Skills Chapter 2 Geometry
  168.    wt: 1:   Skills Chapter 1 Arithmetic
  169.    wt: 1:   Skills Chapter 0 Introduction
  170.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  171.    wt: 1:   11 Help and Defend Your Child or Teens Education
  172.    wt: 1:   7 Links Lessons Elsewhere
  173.    wt: 1:   12 Links Lessons elsewhere
  174.    wt: 1:   musings do not puiblish real numbers
  175.    wt: 1:   A Modular and Remainder Arithmetic
  176.    wt: 1:   A Signed Number Arithmetic Review
  177.    wt: 1:   26 More Less Greater Than Comparison
  178.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  179.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  180.    wt: 1:   23 Distributive Law Two Derivations
  181.    wt: 1:   22 Multiplication of Signed Numbers
  182.    wt: 1:   21 Addition of Multiples of a Single Vector
  183.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  184.    wt: 1:   19 Signed Multiples of Vectors
  185.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  186.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  187.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  188.    wt: 1:   15 Head to Tails in place Addition Associative
  189.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  190.    wt: 1:   13 Arrows and Vectors in a Plane
  191.    wt: 1:   12 Real Numbers Line Signed Coordinates
  192.    wt: 1:   11 Signed Number Addition and Addition Properties
  193.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  194.    wt: 1:   9 Division with Digits after Decimal Point
  195.    wt: 1:   8 Division and Mulplication of Compound Fractions
  196.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  197.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  198.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  199.    wt: 1:   4 Location of Point in Decimal Addition
  200.    wt: 1:   3 Location of Point in Decimal Multiplication
  201.    wt: 1:   2 Counting Digits in Decimal Multiplication
  202.    wt: 1:   1 Fractions with Finite Decimal Expansions
  203.    wt: 1:   E Long Division Methods more
  204.    wt: 1:   D Long Division Methods
  205.    wt: 1:   C Three Decimal Subtraction Methods
  206.    wt: 1:   B Decimal Comparison and Subtraction
  207.    wt: 1:   A Decimal Addition Columm Methods
  208.    wt: 1:   8 Column Multiplication Methods in General
  209.    wt: 1:   7 Decimals Multiplication Methods Examples
  210.    wt: 1:   6 Column Methods for Decimal Multiplication
  211.    wt: 1:   5 Distributive Law for Whole Numbers
  212.    wt: 1:   4 Commutative Law Groups Counting Form
  213.    wt: 1:   3 Multiplicative Counting Skills Principles
  214.    wt: 1:   2 Combing Counts Addition Skills and Principles
  215.    wt: 1:   1 The Counting Origins of Numbers
  216.    wt: 1:   5 Areas of Rectangles Revisited
  217.    wt: 1:   4 Fraction Operations Axiomatic Development
  218.    wt: 1:   3 Inequalities Algebraically
  219.    wt: 1:   2 Fraction Operations Physical Development
  220.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  221.    wt: 1:   5 Proportionality in Equivalent Fractions
  222.    wt: 1:   4 Rates Ratios and Proporitionality
  223.    wt: 1:   3 Proportionality Examples
  224.    wt: 1:   2 Algebraic View
  225.    wt: 1:   1 What is Proportionality
  226.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  227.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  228.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  229.    wt: 1:   6 Compound Interest Forward and Backwards
  230.    wt: 1:   5 Triangle Area Formula Backwards
  231.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  232.    wt: 1:   3 Linear Equation Literal Solution More
  233.    wt: 1:   2 Linear Equation Literal Solution
  234.    wt: 1:   1 Changing Calculations
  235.    wt: 1:   6 Equations and Systems Equivalent or Implied
  236.    wt: 1:   5 Equality in Algebra
  237.    wt: 1:   4 Subtraction and Division Axioms
  238.    wt: 1:   3 Product Axioms Two Forms
  239.    wt: 1:   2 Addition and Multiplication Axioms
  240.    wt: 1:   1 Equivalent Computation Rules
  241.    wt: 1:   5 Greater More Less Than Signs in General
  242.    wt: 1:   4 Comparison of Negative Numbers
  243.    wt: 1:   3 More and Less Than with Unlike Signs
  244.    wt: 1:   2 More and Less Than for Counts and Measures
  245.    wt: 1:   1 Real Numbers Comparison
  246.    wt: 1:   16 Real Numbers Comparison
  247.    wt: 1:   15 Real Number Division
  248.    wt: 1:   14 Real Number Multiplication
  249.    wt: 1:   13 Real Number Subtraction
  250.    wt: 1:   12 Real Number Additive Inverses or Negatives
  251.    wt: 1:   11 Real Number Addition
  252.    wt: 1:   10 Real Number Lengths and Signs
  253.    wt: 1:   9 Coordinates for Regions in Space
  254.    wt: 1:   8 Coordinates for Maps and Planes
  255.    wt: 1:   7 Real Numbers as Line Cordinates
  256.    wt: 1:   6 Unsigned Real Numbers
  257.    wt: 1:   5 Rational Numbers More
  258.    wt: 1:   4 Rational Numbers
  259.    wt: 1:   3 Fractions
  260.    wt: 1:   2 Integers
  261.    wt: 1:   1 Whole and Natural Numbers
  262.    wt: 1:   5 Independent versus Dependent Variables
  263.    wt: 1:   4 Changing Letters
  264.    wt: 1:   3 Geometric Formulas and Function Notation
  265.    wt: 1:   2 Computation Rules Evaluation
  266.    wt: 1:   1 Formulas Dependence and Function Notation
  267.    wt: 1:   More Exercises
  268.    wt: 1:   Simple Exercises
  269.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  270.    wt: 1:   4 GE III Animated Examples
  271.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  272.    wt: 1:   3 GE III Equation Addition and Multiplication
  273.    wt: 1:   2 GE II Comparison
  274.    wt: 1:   1 GE Substitution four examples
  275.    wt: 1:   4 Solving a triangular system exercise
  276.    wt: 1:   3 Solving triangular system example
  277.    wt: 1:   2 Essentially one exercises three with solution
  278.    wt: 1:   1 Essentially One Unknown
  279.    wt: 1:   6 Algebraic Solution Example
  280.    wt: 1:   5 Algebraic Solutions Introduction
  281.    wt: 1:   4 Four Examples Fractional Coefficients
  282.    wt: 1:   3 Four Examples
  283.    wt: 1:   2 Three Examples
  284.    wt: 1:   1 Proper Equal Sign Usage
  285.    wt: 1:   Skill Development Notes
  286.    wt: 1:   10 One Example
  287.    wt: 1:   9 Three Examples
  288.    wt: 1:   8 One Example
  289.    wt: 1:   7 Two Examples
  290.    wt: 1:   6 Three Examples
  291.    wt: 1:   5 Three Examples
  292.    wt: 1:   4 Two Examples
  293.    wt: 1:   3 Two Examples
  294.    wt: 1:   2 Three Examples
  295.    wt: 1:   Using Letters for Physical Quantities
  296.    wt: 1:   Formula Usage Show Work Format
  297.    wt: 1:   13 Naming Identifying Formulas with Words
  298.    wt: 1:   11 Volume of Sphere
  299.    wt: 1:   10 Volume of Pyramid
  300.    wt: 1:   9 Volume of Cone
  301.    wt: 1:   8 Compound Interest Formula Evaluation
  302.    wt: 1:   7 Compound Interest Formula Introduction
  303.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  304.    wt: 1:   5 Box Volume Formula Example
  305.    wt: 1:   4 Circle Area Formula Example
  306.    wt: 1:   3 Triangle Area Formula Example
  307.    wt: 1:   2 Another Rectangle Area Formula Example
  308.    wt: 1:   1 Written work formats for developing and showing skill
  309.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  310.    wt: 1:   9 Sets in Probability and Statistics
  311.    wt: 1:   8 Sets of Numbers
  312.    wt: 1:   7 Cautious or Safe Set Construction
  313.    wt: 1:   6 Power Set Notation
  314.    wt: 1:   5 Product Builder Notation
  315.    wt: 1:   4 Subset Builder Notation
  316.    wt: 1:   3 Counting with Sets etc
  317.    wt: 1:   2 Venn Diagrams
  318.    wt: 1:   1 Finite Sets
  319.    wt: 1:   6 Three Notions of What is a Variable
  320.    wt: 1:   5 Talking about Numbers and Quantities
  321.    wt: 1:   4 A Brief Story of numbers and algebra
  322.    wt: 1:   3 Adding Words To Arithmetic
  323.    wt: 1:   2 What is a Variable
  324.    wt: 1:   1 Three Skills For Algebra
  325.    wt: 1:   About Folder Contents
  326.    wt: 1:   Subtraction Another Video Lesson
  327.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  328.    wt: 1:   Postscript B Mathematics Education References
  329.    wt: 1:   Chapter 3 Algebra Starter Lessons
  330.    wt: 1:   Mathematics Education References
  331.    wt: 1:   Mathematics Education References
  332.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
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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