Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

Location: Site Entrance << Search

[1] [2] [3] [4] [5]

Key Word Search

Folder Search

25 matches:

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

Web Page Search

61 matches:

  1.    wt: 3:   13 From one to one to many to one
  2.    wt: 3:   1 Essentially One Unknown
  3.    wt: 3:   Chapter 15. Solving Linear Equations
  4.    wt: 2:   Straight Lines Instersection Solving Equations
  5.    wt: 2:   6 Intersection of lines by solving linear systems
  6.    wt: 2:   2 Essentially one exercises three with solution
  7.    wt: 2:   Chapter 3 Algebra Starter Lessons
  8.    wt: 1:   G LAMP Introduction Problem Solving Skills
  9.    wt: 1:   5 logarithms and exponentials etc
  10.    wt: 1:   Secondary One Mathematics
  11.    wt: 1:   26 Function definitions done and coming
  12.    wt: 1:   10 Exponential Growth and Decay Models
  13.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  14.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  15.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  16.    wt: 1:   1 Calculator Starter Exercises
  17.    wt: 1:   7 Links Lessons Elsewhere
  18.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  19.    wt: 1:   4 Polynomials Long division linear divisor
  20.    wt: 1:   2 Radian Measure Numerical Value of one degree
  21.    wt: 1:   11 Component Method
  22.    wt: 1:   14 Straight Lines Equations General Case
  23.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  24.    wt: 1:   10 Straight Lines through Origin Equations More
  25.    wt: 1:   9 Straight Lines through Origin Equations
  26.    wt: 1:   12 Graph of tangent function for one period
  27.    wt: 1:   9 Graphs of sine and cosine over one period
  28.    wt: 1:   21 Logarithms Powers and Exponentials
  29.    wt: 1:   8 Triangles Cascade Problem Solving
  30.    wt: 1:   12 Links Lessons elsewhere
  31.    wt: 1:   4 Equations for lines three forms
  32.    wt: 1:   1 Numerical view of lines and their equations
  33.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  34.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  35.    wt: 1:   3 Linear Equation Literal Solution More
  36.    wt: 1:   2 Linear Equation Literal Solution
  37.    wt: 1:   6 Equations and Systems Equivalent or Implied
  38.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  39.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  40.    wt: 1:   4 Solving a triangular system exercise
  41.    wt: 1:   3 Solving triangular system example
  42.    wt: 1:   10 One Example
  43.    wt: 1:   8 One Example
  44.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  45.    wt: 1:   9 Volume of Cone
  46.    wt: 1:   3 More One Digit Multipliers
  47.    wt: 1:   2 One Digit Multipliers
  48.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  49.    wt: 1:   Example 2 volume of a cone
  50.    wt: 1:   A Related lessons in Volume 3
  51.    wt: 1:   34 Derivative of exponential function
  52.    wt: 1:   19 Chain Rule for linear functions
  53.    wt: 1:   10 Three one sided limits with infinite values
  54.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  55.    wt: 1:   D2 Limits of Monotone Sequences
  56.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  57.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  58.    wt: 1:   H more Routine to non routine problem solving
  59.    wt: 1:   H Jigsaw puzzles and problem solving
  60.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  61.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

272 matches:

  1.    wt: 9:   4 Solving a triangular system exercise
  2.    wt: 9:   3 Solving triangular system example
  3.    wt: 9:   6 Algebraic Solution Example
  4.    wt: 9:   5 Algebraic Solutions Introduction
  5.    wt: 9:   4 Four Examples Fractional Coefficients
  6.    wt: 9:   3 Four Examples
  7.    wt: 9:   2 Three Examples
  8.    wt: 9:   1 Proper Equal Sign Usage
  9.    wt: 8:   5 Gaussian Elimination for 3 unknowns 2nd example
  10.    wt: 8:   3 Gaussian Elimination 3 unknowns first example
  11.    wt: 8:   10 One Example
  12.    wt: 8:   8 One Example
  13.    wt: 7:   More Exercises
  14.    wt: 7:   Simple Exercises
  15.    wt: 7:   4 GE III Animated Examples
  16.    wt: 7:   3 GE III Equation Addition and Multiplication
  17.    wt: 7:   2 GE II Comparison
  18.    wt: 7:   1 GE Substitution four examples
  19.    wt: 7:   Skill Development Notes
  20.    wt: 7:   9 Three Examples
  21.    wt: 7:   7 Two Examples
  22.    wt: 7:   6 Three Examples
  23.    wt: 7:   5 Three Examples
  24.    wt: 7:   4 Two Examples
  25.    wt: 7:   3 Two Examples
  26.    wt: 7:   2 Three Examples
  27.    wt: 7:   Using Letters for Physical Quantities
  28.    wt: 7:   Formula Usage Show Work Format
  29.    wt: 5:   6 Equations and Systems Equivalent or Implied
  30.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  31.    wt: 4:   16 Collinear Horizontal Arrows Vectors
  32.    wt: 4:   3 Linear Equation Literal Solution More
  33.    wt: 4:   2 Linear Equation Literal Solution
  34.    wt: 4:   5 Equality in Algebra
  35.    wt: 4:   4 Subtraction and Division Axioms
  36.    wt: 4:   3 Product Axioms Two Forms
  37.    wt: 4:   2 Addition and Multiplication Axioms
  38.    wt: 4:   1 Equivalent Computation Rules
  39.    wt: 4:   12 Cone Cylinder Sphere Lesson Idea
  40.    wt: 4:   9 Volume of Cone
  41.    wt: 4:   Example 2 volume of a cone
  42.    wt: 4:   A Related lessons in Volume 3
  43.    wt: 4:   34 Derivative of exponential function
  44.    wt: 4:   19 Chain Rule for linear functions
  45.    wt: 4:   10 Three one sided limits with infinite values
  46.    wt: 3:   13 From one to one to many to one
  47.    wt: 3:   musings do not puiblish real numbers
  48.    wt: 3:   A Modular and Remainder Arithmetic
  49.    wt: 3:   A Signed Number Arithmetic Review
  50.    wt: 3:   26 More Less Greater Than Comparison
  51.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  52.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  53.    wt: 3:   23 Distributive Law Two Derivations
  54.    wt: 3:   22 Multiplication of Signed Numbers
  55.    wt: 3:   21 Addition of Multiples of a Single Vector
  56.    wt: 3:   19 Signed Multiples of Vectors
  57.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  58.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  59.    wt: 3:   15 Head to Tails in place Addition Associative
  60.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  61.    wt: 3:   13 Arrows and Vectors in a Plane
  62.    wt: 3:   12 Real Numbers Line Signed Coordinates
  63.    wt: 3:   11 Signed Number Addition and Addition Properties
  64.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  65.    wt: 3:   9 Division with Digits after Decimal Point
  66.    wt: 3:   8 Division and Mulplication of Compound Fractions
  67.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  68.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  69.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  70.    wt: 3:   4 Location of Point in Decimal Addition
  71.    wt: 3:   3 Location of Point in Decimal Multiplication
  72.    wt: 3:   2 Counting Digits in Decimal Multiplication
  73.    wt: 3:   1 Fractions with Finite Decimal Expansions
  74.    wt: 3:   E Long Division Methods more
  75.    wt: 3:   D Long Division Methods
  76.    wt: 3:   C Three Decimal Subtraction Methods
  77.    wt: 3:   B Decimal Comparison and Subtraction
  78.    wt: 3:   A Decimal Addition Columm Methods
  79.    wt: 3:   8 Column Multiplication Methods in General
  80.    wt: 3:   7 Decimals Multiplication Methods Examples
  81.    wt: 3:   6 Column Methods for Decimal Multiplication
  82.    wt: 3:   5 Distributive Law for Whole Numbers
  83.    wt: 3:   4 Commutative Law Groups Counting Form
  84.    wt: 3:   3 Multiplicative Counting Skills Principles
  85.    wt: 3:   2 Combing Counts Addition Skills and Principles
  86.    wt: 3:   1 The Counting Origins of Numbers
  87.    wt: 3:   5 Areas of Rectangles Revisited
  88.    wt: 3:   4 Fraction Operations Axiomatic Development
  89.    wt: 3:   3 Inequalities Algebraically
  90.    wt: 3:   2 Fraction Operations Physical Development
  91.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  92.    wt: 3:   5 Proportionality in Equivalent Fractions
  93.    wt: 3:   4 Rates Ratios and Proporitionality
  94.    wt: 3:   3 Proportionality Examples
  95.    wt: 3:   2 Algebraic View
  96.    wt: 3:   1 What is Proportionality
  97.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  98.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  99.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  100.    wt: 3:   6 Compound Interest Forward and Backwards
  101.    wt: 3:   5 Triangle Area Formula Backwards
  102.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  103.    wt: 3:   1 Changing Calculations
  104.    wt: 3:   5 Greater More Less Than Signs in General
  105.    wt: 3:   4 Comparison of Negative Numbers
  106.    wt: 3:   3 More and Less Than with Unlike Signs
  107.    wt: 3:   2 More and Less Than for Counts and Measures
  108.    wt: 3:   1 Real Numbers Comparison
  109.    wt: 3:   16 Real Numbers Comparison
  110.    wt: 3:   15 Real Number Division
  111.    wt: 3:   14 Real Number Multiplication
  112.    wt: 3:   13 Real Number Subtraction
  113.    wt: 3:   12 Real Number Additive Inverses or Negatives
  114.    wt: 3:   11 Real Number Addition
  115.    wt: 3:   10 Real Number Lengths and Signs
  116.    wt: 3:   9 Coordinates for Regions in Space
  117.    wt: 3:   8 Coordinates for Maps and Planes
  118.    wt: 3:   7 Real Numbers as Line Cordinates
  119.    wt: 3:   6 Unsigned Real Numbers
  120.    wt: 3:   5 Rational Numbers More
  121.    wt: 3:   4 Rational Numbers
  122.    wt: 3:   3 Fractions
  123.    wt: 3:   2 Integers
  124.    wt: 3:   1 Whole and Natural Numbers
  125.    wt: 3:   5 Independent versus Dependent Variables
  126.    wt: 3:   4 Changing Letters
  127.    wt: 3:   3 Geometric Formulas and Function Notation
  128.    wt: 3:   2 Computation Rules Evaluation
  129.    wt: 3:   1 Formulas Dependence and Function Notation
  130.    wt: 3:   13 Naming Identifying Formulas with Words
  131.    wt: 3:   11 Volume of Sphere
  132.    wt: 3:   10 Volume of Pyramid
  133.    wt: 3:   8 Compound Interest Formula Evaluation
  134.    wt: 3:   7 Compound Interest Formula Introduction
  135.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  136.    wt: 3:   5 Box Volume Formula Example
  137.    wt: 3:   4 Circle Area Formula Example
  138.    wt: 3:   3 Triangle Area Formula Example
  139.    wt: 3:   2 Another Rectangle Area Formula Example
  140.    wt: 3:   1 Written work formats for developing and showing skill
  141.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  142.    wt: 3:   9 Sets in Probability and Statistics
  143.    wt: 3:   8 Sets of Numbers
  144.    wt: 3:   7 Cautious or Safe Set Construction
  145.    wt: 3:   6 Power Set Notation
  146.    wt: 3:   5 Product Builder Notation
  147.    wt: 3:   4 Subset Builder Notation
  148.    wt: 3:   3 Counting with Sets etc
  149.    wt: 3:   2 Venn Diagrams
  150.    wt: 3:   1 Finite Sets
  151.    wt: 3:   6 Three Notions of What is a Variable
  152.    wt: 3:   5 Talking about Numbers and Quantities
  153.    wt: 3:   4 A Brief Story of numbers and algebra
  154.    wt: 3:   3 Adding Words To Arithmetic
  155.    wt: 3:   2 What is a Variable
  156.    wt: 3:   1 Three Skills For Algebra
  157.    wt: 3:   About Folder Contents
  158.    wt: 3:   Example 1 volume of a pyramid
  159.    wt: 3:   Volume of Solid by Cross Sections Lesson
  160.    wt: 3:   Example 1. Area Between x and x squared
  161.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  162.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  163.    wt: 3:   Example 4 with x function of y
  164.    wt: 3:   Example 3
  165.    wt: 3:   Example 2
  166.    wt: 3:   Example 1
  167.    wt: 3:   Area Between Curves Lesson Take 2
  168.    wt: 3:   Area Between Curves Lesson Take 1
  169.    wt: 3:   Summary
  170.    wt: 3:   A Related Material in Volume 3
  171.    wt: 3:   5 Area Under Curve Exercise
  172.    wt: 3:   4 Definite Integrals Evaluation Exercises
  173.    wt: 3:   3 Two Chain Rule Method Exercises
  174.    wt: 3:   2 Indefinite Integrals Exercises
  175.    wt: 3:   1 Chain Rule in Reverse Integration Method
  176.    wt: 3:   4 Second derivative test exercise example
  177.    wt: 3:   3 Second derivative test
  178.    wt: 3:   2 Second derivative test prequel
  179.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  180.    wt: 3:   A Chain Rule Real Player video examples
  181.    wt: 3:   38 Formulas and derivatives for powers and roots
  182.    wt: 3:   36 Cube root derivative animated
  183.    wt: 3:   33 Chain Rule Real Player video examples
  184.    wt: 3:   31 Derivatives of inverse functions
  185.    wt: 3:   30Chain Rule A Proof
  186.    wt: 3:   29 Chain Rule Optional Reading
  187.    wt: 3:   28 Chain Rule Preparation for a Proof
  188.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  189.    wt: 3:   26 Chain Rule Recognising outer inner functions
  190.    wt: 3:   25 Chain Rule Animated Examples Continued
  191.    wt: 3:   24 Chain Rule Animated Examples
  192.    wt: 3:   23 Chain Rule in general
  193.    wt: 3:   22 Chain Rule for polynomials
  194.    wt: 3:   21 Chain Rule for powers
  195.    wt: 3:   20 Chain Rule for Pulley Systems
  196.    wt: 3:   18 Chain Rule Introduction
  197.    wt: 3:   17 Derivatives of quotients of sine and cosine
  198.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  199.    wt: 3:   15 sine and cosine derivatives 3rd step
  200.    wt: 3:   14 sine and cosine derivatives 2nd step
  201.    wt: 3:   13 sine and cosine derivatives 1st step
  202.    wt: 3:   12 Quotient rule examples
  203.    wt: 3:   11 Quotient rule
  204.    wt: 3:   10 Power rule for negative integers
  205.    wt: 3:   9 Reciprocal rule
  206.    wt: 3:   8 Differentiation of polynomials
  207.    wt: 3:   7 Animated Differentiation Examples
  208.    wt: 3:   6 Power rule from product rule
  209.    wt: 3:   5 Product Rule
  210.    wt: 3:   4 Sum Rule
  211.    wt: 3:   3 Motivation for Limit Definition Take 2
  212.    wt: 3:   2 Motivation for Limit Definition Take 1
  213.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  214.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  215.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  216.    wt: 3:   11 Limits at infinity Three Examples
  217.    wt: 3:   9 Limits Continuity and Composition
  218.    wt: 3:   8 Four Animated Examples
  219.    wt: 3:   7 Evaluation by immediate or delayed substitution
  220.    wt: 3:   6 Continuity at a point
  221.    wt: 3:   5 Jumps and absence of unlimited error control
  222.    wt: 3:   4 Numerical properties
  223.    wt: 3:   3 Decimal insights for limits continuity convergence
  224.    wt: 3:   2 Algebraic codification
  225.    wt: 3:   1 Numerical introduction
  226.    wt: 3:   Chapter 15. Solving Linear Equations
  227.    wt: 2:   10 Exponential Growth and Decay Models
  228.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  229.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  230.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  231.    wt: 2:   1 Calculator Starter Exercises
  232.    wt: 2:   Straight Lines Instersection Solving Equations
  233.    wt: 2:   6 Intersection of lines by solving linear systems
  234.    wt: 2:   Chapter 3 Algebra Starter Lessons
  235.    wt: 1:   G LAMP Introduction Problem Solving Skills
  236.    wt: 1:   5 logarithms and exponentials etc
  237.    wt: 1:   Secondary One Mathematics
  238.    wt: 1:   26 Function definitions done and coming
  239.    wt: 1:   11 Growth and Decay in Biology
  240.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  241.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  242.    wt: 1:   5 Natural Logarithm Calculator Exercises
  243.    wt: 1:   2 Square Root Simplification a prequel
  244.    wt: 1:   7 Links Lessons Elsewhere
  245.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  246.    wt: 1:   4 Polynomials Long division linear divisor
  247.    wt: 1:   2 Radian Measure Numerical Value of one degree
  248.    wt: 1:   11 Component Method
  249.    wt: 1:   14 Straight Lines Equations General Case
  250.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  251.    wt: 1:   10 Straight Lines through Origin Equations More
  252.    wt: 1:   9 Straight Lines through Origin Equations
  253.    wt: 1:   12 Graph of tangent function for one period
  254.    wt: 1:   9 Graphs of sine and cosine over one period
  255.    wt: 1:   21 Logarithms Powers and Exponentials
  256.    wt: 1:   8 Triangles Cascade Problem Solving
  257.    wt: 1:   12 Links Lessons elsewhere
  258.    wt: 1:   4 Equations for lines three forms
  259.    wt: 1:   1 Numerical view of lines and their equations
  260.    wt: 1:   3 More One Digit Multipliers
  261.    wt: 1:   2 One Digit Multipliers
  262.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  263.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  264.    wt: 1:   D2 Limits of Monotone Sequences
  265.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  266.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  267.    wt: 1:   H more Routine to non routine problem solving
  268.    wt: 1:   H Jigsaw puzzles and problem solving
  269.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  270.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  271.    wt: 11:   1 Essentially One Unknown
  272.    wt: 10:   2 Essentially one exercises three with solution

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

Return to Page Top

Location: Site Entrance << Search

[1] [2] [3] [4] [5]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.