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.

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28 matches:

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

Web Page Search

55 matches:

  1.    wt: 3:   1 Squares and Square Roots Introduction
  2.    wt: 2:   5 Square Roots with primes more still
  3.    wt: 2:   4 Square Roots with primes more
  4.    wt: 2:   3 Properties of Square Roots with example
  5.    wt: 2:   2 Square Roots with Prime
  6.    wt: 2:   38 Formulas and derivatives for powers and roots
  7.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  8.    wt: 2:   Chapter 3 Algebra Starter Lessons
  9.    wt: 1:   Skills Chapter 5 Calculus
  10.    wt: 1:   Operational Viewpoint to Value
  11.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  12.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  13.    wt: 1:   22 Square Root function graphically
  14.    wt: 1:   5 quadratics completing the square
  15.    wt: 1:   4 quadratics difference of two squares
  16.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  17.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  18.    wt: 1:   2 Square Root Simplification a prequel
  19.    wt: 1:   1 Calculator Starter Exercises
  20.    wt: 1:   7 Links Lessons Elsewhere
  21.    wt: 1:   21 Logarithms Powers and Exponentials
  22.    wt: 1:   20 N th Roots of Complex Numbers
  23.    wt: 1:   19 N th Roots of Unity
  24.    wt: 1:   18 Sixth Roots of Unity
  25.    wt: 1:   17 Cube Roots of unity
  26.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  27.    wt: 1:   12 Links Lessons elsewhere
  28.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  29.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  30.    wt: 1:   5 Rational Numbers More
  31.    wt: 1:   4 Rational Numbers
  32.    wt: 1:   11 Efficient Square Rule Use
  33.    wt: 1:   10 video Prime Factorization upto 23 squared
  34.    wt: 1:   9 video Prime Factorization upto 19 squared
  35.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  36.    wt: 1:   5 Prime Factorization and a Square Rule
  37.    wt: 1:   C Counting Areas with Powers of Ten
  38.    wt: 1:   B Powers of Ten
  39.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  40.    wt: 1:   Example 1. Area Between x and x squared
  41.    wt: 1:   A Related lessons in Volume 3
  42.    wt: 1:   21 Chain Rule for powers
  43.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  44.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  45.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  46.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  47.    wt: 1:   Chapter 9 About First Courses in Calculus
  48.    wt: 1:   Fall 1983 Calculus Appetizer
  49.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  50.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  51.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  52.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  53.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  54.    wt: 1:   More Algebra and Slope based Calculus Preview
  55.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

327 matches:

  1.    wt: 7:   38 Formulas and derivatives for powers and roots
  2.    wt: 6:   1 Squares and Square Roots Introduction
  3.    wt: 6:   Example 1. Area Between x and x squared
  4.    wt: 6:   A Related lessons in Volume 3
  5.    wt: 6:   21 Chain Rule for powers
  6.    wt: 5:   5 Square Roots with primes more still
  7.    wt: 5:   4 Square Roots with primes more
  8.    wt: 5:   3 Properties of Square Roots with example
  9.    wt: 5:   2 Square Roots with Prime
  10.    wt: 5:   Example 2 volume of a cone
  11.    wt: 5:   Example 1 volume of a pyramid
  12.    wt: 5:   Volume of Solid by Cross Sections Lesson
  13.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  14.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  15.    wt: 5:   Example 4 with x function of y
  16.    wt: 5:   Example 3
  17.    wt: 5:   Example 2
  18.    wt: 5:   Example 1
  19.    wt: 5:   Area Between Curves Lesson Take 2
  20.    wt: 5:   Area Between Curves Lesson Take 1
  21.    wt: 5:   Summary
  22.    wt: 5:   A Related Material in Volume 3
  23.    wt: 5:   5 Area Under Curve Exercise
  24.    wt: 5:   4 Definite Integrals Evaluation Exercises
  25.    wt: 5:   3 Two Chain Rule Method Exercises
  26.    wt: 5:   2 Indefinite Integrals Exercises
  27.    wt: 5:   1 Chain Rule in Reverse Integration Method
  28.    wt: 5:   4 Second derivative test exercise example
  29.    wt: 5:   3 Second derivative test
  30.    wt: 5:   2 Second derivative test prequel
  31.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  32.    wt: 5:   A Chain Rule Real Player video examples
  33.    wt: 5:   36 Cube root derivative animated
  34.    wt: 5:   34 Derivative of exponential function
  35.    wt: 5:   33 Chain Rule Real Player video examples
  36.    wt: 5:   31 Derivatives of inverse functions
  37.    wt: 5:   30Chain Rule A Proof
  38.    wt: 5:   29 Chain Rule Optional Reading
  39.    wt: 5:   28 Chain Rule Preparation for a Proof
  40.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  41.    wt: 5:   26 Chain Rule Recognising outer inner functions
  42.    wt: 5:   25 Chain Rule Animated Examples Continued
  43.    wt: 5:   24 Chain Rule Animated Examples
  44.    wt: 5:   23 Chain Rule in general
  45.    wt: 5:   22 Chain Rule for polynomials
  46.    wt: 5:   20 Chain Rule for Pulley Systems
  47.    wt: 5:   19 Chain Rule for linear functions
  48.    wt: 5:   18 Chain Rule Introduction
  49.    wt: 5:   17 Derivatives of quotients of sine and cosine
  50.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  51.    wt: 5:   15 sine and cosine derivatives 3rd step
  52.    wt: 5:   14 sine and cosine derivatives 2nd step
  53.    wt: 5:   13 sine and cosine derivatives 1st step
  54.    wt: 5:   12 Quotient rule examples
  55.    wt: 5:   11 Quotient rule
  56.    wt: 5:   10 Power rule for negative integers
  57.    wt: 5:   9 Reciprocal rule
  58.    wt: 5:   8 Differentiation of polynomials
  59.    wt: 5:   7 Animated Differentiation Examples
  60.    wt: 5:   6 Power rule from product rule
  61.    wt: 5:   5 Product Rule
  62.    wt: 5:   4 Sum Rule
  63.    wt: 5:   3 Motivation for Limit Definition Take 2
  64.    wt: 5:   2 Motivation for Limit Definition Take 1
  65.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  66.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  67.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  68.    wt: 5:   11 Limits at infinity Three Examples
  69.    wt: 5:   10 Three one sided limits with infinite values
  70.    wt: 5:   9 Limits Continuity and Composition
  71.    wt: 5:   8 Four Animated Examples
  72.    wt: 5:   7 Evaluation by immediate or delayed substitution
  73.    wt: 5:   6 Continuity at a point
  74.    wt: 5:   5 Jumps and absence of unlimited error control
  75.    wt: 5:   4 Numerical properties
  76.    wt: 5:   3 Decimal insights for limits continuity convergence
  77.    wt: 5:   2 Algebraic codification
  78.    wt: 5:   1 Numerical introduction
  79.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  80.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  81.    wt: 3:   2 Square Root Simplification a prequel
  82.    wt: 3:   1 Calculator Starter Exercises
  83.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  84.    wt: 3:   5 Rational Numbers More
  85.    wt: 3:   4 Rational Numbers
  86.    wt: 2:   11 Growth and Decay in Biology
  87.    wt: 2:   10 Exponential Growth and Decay Models
  88.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  89.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  90.    wt: 2:   5 Natural Logarithm Calculator Exercises
  91.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  92.    wt: 2:   musings do not puiblish real numbers
  93.    wt: 2:   A Modular and Remainder Arithmetic
  94.    wt: 2:   A Signed Number Arithmetic Review
  95.    wt: 2:   26 More Less Greater Than Comparison
  96.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  97.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  98.    wt: 2:   23 Distributive Law Two Derivations
  99.    wt: 2:   22 Multiplication of Signed Numbers
  100.    wt: 2:   21 Addition of Multiples of a Single Vector
  101.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  102.    wt: 2:   19 Signed Multiples of Vectors
  103.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  104.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  105.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  106.    wt: 2:   15 Head to Tails in place Addition Associative
  107.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  108.    wt: 2:   13 Arrows and Vectors in a Plane
  109.    wt: 2:   12 Real Numbers Line Signed Coordinates
  110.    wt: 2:   11 Signed Number Addition and Addition Properties
  111.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  112.    wt: 2:   9 Division with Digits after Decimal Point
  113.    wt: 2:   8 Division and Mulplication of Compound Fractions
  114.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  115.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  116.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  117.    wt: 2:   4 Location of Point in Decimal Addition
  118.    wt: 2:   3 Location of Point in Decimal Multiplication
  119.    wt: 2:   2 Counting Digits in Decimal Multiplication
  120.    wt: 2:   1 Fractions with Finite Decimal Expansions
  121.    wt: 2:   E Long Division Methods more
  122.    wt: 2:   D Long Division Methods
  123.    wt: 2:   C Three Decimal Subtraction Methods
  124.    wt: 2:   B Decimal Comparison and Subtraction
  125.    wt: 2:   A Decimal Addition Columm Methods
  126.    wt: 2:   8 Column Multiplication Methods in General
  127.    wt: 2:   7 Decimals Multiplication Methods Examples
  128.    wt: 2:   6 Column Methods for Decimal Multiplication
  129.    wt: 2:   5 Distributive Law for Whole Numbers
  130.    wt: 2:   4 Commutative Law Groups Counting Form
  131.    wt: 2:   3 Multiplicative Counting Skills Principles
  132.    wt: 2:   2 Combing Counts Addition Skills and Principles
  133.    wt: 2:   1 The Counting Origins of Numbers
  134.    wt: 2:   5 Areas of Rectangles Revisited
  135.    wt: 2:   4 Fraction Operations Axiomatic Development
  136.    wt: 2:   3 Inequalities Algebraically
  137.    wt: 2:   2 Fraction Operations Physical Development
  138.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  139.    wt: 2:   5 Proportionality in Equivalent Fractions
  140.    wt: 2:   4 Rates Ratios and Proporitionality
  141.    wt: 2:   3 Proportionality Examples
  142.    wt: 2:   2 Algebraic View
  143.    wt: 2:   1 What is Proportionality
  144.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  145.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  146.    wt: 2:   6 Compound Interest Forward and Backwards
  147.    wt: 2:   5 Triangle Area Formula Backwards
  148.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  149.    wt: 2:   3 Linear Equation Literal Solution More
  150.    wt: 2:   2 Linear Equation Literal Solution
  151.    wt: 2:   1 Changing Calculations
  152.    wt: 2:   6 Equations and Systems Equivalent or Implied
  153.    wt: 2:   5 Equality in Algebra
  154.    wt: 2:   4 Subtraction and Division Axioms
  155.    wt: 2:   3 Product Axioms Two Forms
  156.    wt: 2:   2 Addition and Multiplication Axioms
  157.    wt: 2:   1 Equivalent Computation Rules
  158.    wt: 2:   5 Greater More Less Than Signs in General
  159.    wt: 2:   4 Comparison of Negative Numbers
  160.    wt: 2:   3 More and Less Than with Unlike Signs
  161.    wt: 2:   2 More and Less Than for Counts and Measures
  162.    wt: 2:   1 Real Numbers Comparison
  163.    wt: 2:   16 Real Numbers Comparison
  164.    wt: 2:   15 Real Number Division
  165.    wt: 2:   14 Real Number Multiplication
  166.    wt: 2:   13 Real Number Subtraction
  167.    wt: 2:   12 Real Number Additive Inverses or Negatives
  168.    wt: 2:   11 Real Number Addition
  169.    wt: 2:   10 Real Number Lengths and Signs
  170.    wt: 2:   9 Coordinates for Regions in Space
  171.    wt: 2:   8 Coordinates for Maps and Planes
  172.    wt: 2:   7 Real Numbers as Line Cordinates
  173.    wt: 2:   6 Unsigned Real Numbers
  174.    wt: 2:   3 Fractions
  175.    wt: 2:   2 Integers
  176.    wt: 2:   1 Whole and Natural Numbers
  177.    wt: 2:   5 Independent versus Dependent Variables
  178.    wt: 2:   4 Changing Letters
  179.    wt: 2:   3 Geometric Formulas and Function Notation
  180.    wt: 2:   2 Computation Rules Evaluation
  181.    wt: 2:   1 Formulas Dependence and Function Notation
  182.    wt: 2:   More Exercises
  183.    wt: 2:   Simple Exercises
  184.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  185.    wt: 2:   4 GE III Animated Examples
  186.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  187.    wt: 2:   3 GE III Equation Addition and Multiplication
  188.    wt: 2:   2 GE II Comparison
  189.    wt: 2:   1 GE Substitution four examples
  190.    wt: 2:   4 Solving a triangular system exercise
  191.    wt: 2:   3 Solving triangular system example
  192.    wt: 2:   2 Essentially one exercises three with solution
  193.    wt: 2:   1 Essentially One Unknown
  194.    wt: 2:   6 Algebraic Solution Example
  195.    wt: 2:   5 Algebraic Solutions Introduction
  196.    wt: 2:   4 Four Examples Fractional Coefficients
  197.    wt: 2:   3 Four Examples
  198.    wt: 2:   2 Three Examples
  199.    wt: 2:   1 Proper Equal Sign Usage
  200.    wt: 2:   Skill Development Notes
  201.    wt: 2:   10 One Example
  202.    wt: 2:   9 Three Examples
  203.    wt: 2:   8 One Example
  204.    wt: 2:   7 Two Examples
  205.    wt: 2:   6 Three Examples
  206.    wt: 2:   5 Three Examples
  207.    wt: 2:   4 Two Examples
  208.    wt: 2:   3 Two Examples
  209.    wt: 2:   2 Three Examples
  210.    wt: 2:   Using Letters for Physical Quantities
  211.    wt: 2:   Formula Usage Show Work Format
  212.    wt: 2:   13 Naming Identifying Formulas with Words
  213.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  214.    wt: 2:   11 Volume of Sphere
  215.    wt: 2:   10 Volume of Pyramid
  216.    wt: 2:   9 Volume of Cone
  217.    wt: 2:   8 Compound Interest Formula Evaluation
  218.    wt: 2:   7 Compound Interest Formula Introduction
  219.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  220.    wt: 2:   5 Box Volume Formula Example
  221.    wt: 2:   4 Circle Area Formula Example
  222.    wt: 2:   3 Triangle Area Formula Example
  223.    wt: 2:   2 Another Rectangle Area Formula Example
  224.    wt: 2:   1 Written work formats for developing and showing skill
  225.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  226.    wt: 2:   9 Sets in Probability and Statistics
  227.    wt: 2:   8 Sets of Numbers
  228.    wt: 2:   7 Cautious or Safe Set Construction
  229.    wt: 2:   6 Power Set Notation
  230.    wt: 2:   5 Product Builder Notation
  231.    wt: 2:   4 Subset Builder Notation
  232.    wt: 2:   3 Counting with Sets etc
  233.    wt: 2:   2 Venn Diagrams
  234.    wt: 2:   1 Finite Sets
  235.    wt: 2:   6 Three Notions of What is a Variable
  236.    wt: 2:   5 Talking about Numbers and Quantities
  237.    wt: 2:   4 A Brief Story of numbers and algebra
  238.    wt: 2:   3 Adding Words To Arithmetic
  239.    wt: 2:   2 What is a Variable
  240.    wt: 2:   1 Three Skills For Algebra
  241.    wt: 2:   About Folder Contents
  242.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  243.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  244.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  245.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  246.    wt: 2:   Chapter 9 About First Courses in Calculus
  247.    wt: 2:   Fall 1983 Calculus Appetizer
  248.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  249.    wt: 2:   Chapter 3 Algebra Starter Lessons
  250.    wt: 1:   Skills Chapter 5 Calculus
  251.    wt: 1:   Operational Viewpoint to Value
  252.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  253.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  254.    wt: 1:   22 Square Root function graphically
  255.    wt: 1:   5 quadratics completing the square
  256.    wt: 1:   4 quadratics difference of two squares
  257.    wt: 1:   7 Links Lessons Elsewhere
  258.    wt: 1:   21 Logarithms Powers and Exponentials
  259.    wt: 1:   20 N th Roots of Complex Numbers
  260.    wt: 1:   19 N th Roots of Unity
  261.    wt: 1:   18 Sixth Roots of Unity
  262.    wt: 1:   17 Cube Roots of unity
  263.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  264.    wt: 1:   12 Links Lessons elsewhere
  265.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  266.    wt: 1:   11 Efficient Square Rule Use
  267.    wt: 1:   10 video Prime Factorization upto 23 squared
  268.    wt: 1:   9 video Prime Factorization upto 19 squared
  269.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  270.    wt: 1:   5 Prime Factorization and a Square Rule
  271.    wt: 1:   C Counting Areas with Powers of Ten
  272.    wt: 1:   B Powers of Ten
  273.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  274.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  275.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  276.    wt: 1:   G.5 Motions With Bounded Velocities
  277.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  278.    wt: 1:   G.3 Constant Difference Theorem Proof
  279.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  280.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  281.    wt: 1:   F.5b Extreme Value Theorem
  282.    wt: 1:   F.5a Equicontinuity Theorems
  283.    wt: 1:   F.4 Finite Covering Theorem
  284.    wt: 1:   F.3 Intermediate Value Theorem
  285.    wt: 1:   F.2 Closed Range Theorem
  286.    wt: 1:   F.1 What Functions are Continuous
  287.    wt: 1:   E2 Algebraic Properties of Limits
  288.    wt: 1:   E1 Error Control Inequalities
  289.    wt: 1:   D2 Limits of Monotone Sequences
  290.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  291.    wt: 1:   C Triangle Inequalities
  292.    wt: 1:   B3 Bolzano Weierstrass Theorem
  293.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  294.    wt: 1:   PostScript For and Against Decimal Perspectives
  295.    wt: 1:   A1. Introduction
  296.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  297.    wt: 1:   Chapter 23 Links To Trigonometry
  298.    wt: 1:   Chapter 22 Complex Numbers
  299.    wt: 1:   Chapter 21 Arrow Addition
  300.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  301.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  302.    wt: 1:   Chapter 18. Slopes Areas Integration
  303.    wt: 1:   Chapter 17. Area Approximation
  304.    wt: 1:   Chapter 16. Velocity Approximation
  305.    wt: 1:   Chapter 15. Slope Approximation
  306.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  307.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  308.    wt: 1:   Chapter 13. Acceleration
  309.    wt: 1:   Chapter 12. Units and Slopes
  310.    wt: 1:   Chapter 11. Graphing Slope versus Position
  311.    wt: 1:   Chapter 10 Slopes and Units
  312.    wt: 1:   Chapter 8. Slope Interpretation
  313.    wt: 1:   Chapter 7 Slopes and Velocity
  314.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  315.    wt: 1:   Chapter 5. Slope Sign Tests
  316.    wt: 1:   Chapter 4. More Slope Sign Analysis
  317.    wt: 1:   Chapter 3. Slope Sign Analysis
  318.    wt: 1:   Chapter 2. Slopes and Ski Trails
  319.    wt: 1:   Chapter 1.Introduction
  320.    wt: 1:   Foreword
  321.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  322.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  323.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  324.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  325.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  326.    wt: 1:   More Algebra and Slope based Calculus Preview
  327.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

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.

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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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