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.

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 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.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 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.

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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  10.    wt: 1:   70 Calculus Starter Lessons/
  11.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  12.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/

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  1.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  2.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  3.    wt: 1:   K LAMP Musings Science Education
  4.    wt: 1:   J LAMP Introduction Extrinsic Origins
  5.    wt: 1:   I LAMP Introduction Study Habits
  6.    wt: 1:   H LAMP Introduction Instructional Concepts
  7.    wt: 1:   G LAMP Introduction Problem Solving Skills
  8.    wt: 1:   F LAMP Introduction Prerequisites
  9.    wt: 1:   E LAMP Introduction Modern Mathematics
  10.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  11.    wt: 1:   A Introduction Objectives
  12.    wt: 1:   Skills Chapter 5 Calculus
  13.    wt: 1:   Ramblings Introduction Algebra Essay
  14.    wt: 1:   Skills Chapter 0 Introduction
  15.    wt: 1:   links Education Resources online
  16.    wt: 1:   Mathematics Education Professors
  17.    wt: 1:   modern education
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  19.    wt: 1:   three goals for Mathematics Education
  20.    wt: 1:   02 20 mathematics education references
  21.    wt: 1:   Education in mathematics science and technology
  22.    wt: 1:   Four ways to improve education reform
  23.    wt: 1:   education an empirical art
  24.    wt: 1:   chapitre 01 00 Introduction
  25.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  26.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  27.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  28.    wt: 1:   11 Help and Defend Your Child or Teens Education
  29.    wt: 1:   1 Geometric Introduction of Function Notation
  30.    wt: 1:   Introduction Reading Guide
  31.    wt: 1:   1 Degrees and Radians Introduction
  32.    wt: 1:   5 Algebraic Solutions Introduction
  33.    wt: 1:   7 Compound Interest Formula Introduction
  34.    wt: 1:   1 Squares and Square Roots Introduction
  35.    wt: 1:   1 Least Common Multiples LCM Introduction
  36.    wt: 1:   4 video Prime Factorization Introduction
  37.    wt: 1:   18 Chain Rule Introduction
  38.    wt: 1:   1 Numerical introduction
  39.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  40.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  41.    wt: 1:   A1. Introduction
  42.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  43.    wt: 1:   Chapter 9 About First Courses in Calculus
  44.    wt: 1:   Chapter 1.Introduction
  45.    wt: 1:   Fall 1983 Calculus Appetizer
  46.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  47.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  48.    wt: 1:   Postscript B Mathematics Education References
  49.    wt: 1:   Chapter 1 Introduction
  50.    wt: 1:   Chapter 1 Introduction
  51.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  52.    wt: 1:   Mathematics Education References
  53.    wt: 1:   Mathematics Education References
  54.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  55.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  56.    wt: 1:   More Algebra and Slope based Calculus Preview

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  3.    wt: 5:   modern education
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  5.    wt: 5:   three goals for Mathematics Education
  6.    wt: 5:   02 20 mathematics education references
  7.    wt: 5:   Education in mathematics science and technology
  8.    wt: 5:   Four ways to improve education reform
  9.    wt: 5:   education an empirical art
  10.    wt: 4:   why bother
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  17.    wt: 4:   Applied Maths Program14092009 POMME variant
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  20.    wt: 4:   site eurekas
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  29.    wt: 4:   five decades make a difference
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  31.    wt: 4:   how letters appear
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  36.    wt: 4:   three difficulties
  37.    wt: 4:   teaching tips
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  39.    wt: 4:   mathematics curriculum shifts
  40.    wt: 4:   geometric implications for algebra
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  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:   C LAMP Introduction Culture in Mathematics Education
  65.    wt: 2:   K LAMP Musings Science Education
  66.    wt: 2:   J LAMP Introduction Extrinsic Origins
  67.    wt: 2:   I LAMP Introduction Study Habits
  68.    wt: 2:   H LAMP Introduction Instructional Concepts
  69.    wt: 2:   G LAMP Introduction Problem Solving Skills
  70.    wt: 2:   F LAMP Introduction Prerequisites
  71.    wt: 2:   E LAMP Introduction Modern Mathematics
  72.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  73.    wt: 2:   A Introduction Objectives
  74.    wt: 2:   Skills Chapter 5 Calculus
  75.    wt: 2:   Ramblings Introduction Algebra Essay
  76.    wt: 2:   Skills Chapter 0 Introduction
  77.    wt: 2:   11 pure mathematics
  78.    wt: 2:   10 statistics
  79.    wt: 2:   9 combinatorics probability sets
  80.    wt: 2:   8 analytic geometry etc
  81.    wt: 2:   7 logic review and decimals an odd combination
  82.    wt: 2:   6 polynomials etc
  83.    wt: 2:   5 logarithms and exponentials etc
  84.    wt: 2:   4 algebra
  85.    wt: 2:   3 Euclidean Geometry Leanly
  86.    wt: 2:   2 arithmetic with signed numbers
  87.    wt: 2:   1 arithmetic with unsigned numbers
  88.    wt: 2:   What is POMME
  89.    wt: 2:   18 Chain Rule Introduction
  90.    wt: 2:   1 Numerical introduction
  91.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  92.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  93.    wt: 2:   A1. Introduction
  94.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  95.    wt: 2:   Chapter 9 About First Courses in Calculus
  96.    wt: 2:   Chapter 1.Introduction
  97.    wt: 2:   Fall 1983 Calculus Appetizer
  98.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  99.    wt: 1:   Appendix 2 primary school Arithmetic 01
  100.    wt: 1:   Appendix 1 primary and preschool mathematic
  101.    wt: 1:   Skills Chapter 4 Logic
  102.    wt: 1:   Ramblings Extrinsic numbers theory
  103.    wt: 1:   Skills Chapter 3 Algebra
  104.    wt: 1:   Skills Chapter 2 Geometry
  105.    wt: 1:   Skills Chapter 1 Arithmetic
  106.    wt: 1:   chapitre 01 00 Introduction
  107.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  108.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  109.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  110.    wt: 1:   11 Help and Defend Your Child or Teens Education
  111.    wt: 1:   1 Geometric Introduction of Function Notation
  112.    wt: 1:   Introduction Reading Guide
  113.    wt: 1:   1 Degrees and Radians Introduction
  114.    wt: 1:   5 Algebraic Solutions Introduction
  115.    wt: 1:   7 Compound Interest Formula Introduction
  116.    wt: 1:   1 Squares and Square Roots Introduction
  117.    wt: 1:   1 Least Common Multiples LCM Introduction
  118.    wt: 1:   4 video Prime Factorization Introduction
  119.    wt: 1:   Example 2 volume of a cone
  120.    wt: 1:   Example 1 volume of a pyramid
  121.    wt: 1:   Volume of Solid by Cross Sections Lesson
  122.    wt: 1:   Example 1. Area Between x and x squared
  123.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  124.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  125.    wt: 1:   Example 4 with x function of y
  126.    wt: 1:   Example 3
  127.    wt: 1:   Example 2
  128.    wt: 1:   Example 1
  129.    wt: 1:   Area Between Curves Lesson Take 2
  130.    wt: 1:   Area Between Curves Lesson Take 1
  131.    wt: 1:   Summary
  132.    wt: 1:   A Related Material in Volume 3
  133.    wt: 1:   5 Area Under Curve Exercise
  134.    wt: 1:   4 Definite Integrals Evaluation Exercises
  135.    wt: 1:   3 Two Chain Rule Method Exercises
  136.    wt: 1:   2 Indefinite Integrals Exercises
  137.    wt: 1:   1 Chain Rule in Reverse Integration Method
  138.    wt: 1:   A Related lessons in Volume 3
  139.    wt: 1:   4 Second derivative test exercise example
  140.    wt: 1:   3 Second derivative test
  141.    wt: 1:   2 Second derivative test prequel
  142.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  143.    wt: 1:   A Chain Rule Real Player video examples
  144.    wt: 1:   38 Formulas and derivatives for powers and roots
  145.    wt: 1:   36 Cube root derivative animated
  146.    wt: 1:   34 Derivative of exponential function
  147.    wt: 1:   33 Chain Rule Real Player video examples
  148.    wt: 1:   31 Derivatives of inverse functions
  149.    wt: 1:   30Chain Rule A Proof
  150.    wt: 1:   29 Chain Rule Optional Reading
  151.    wt: 1:   28 Chain Rule Preparation for a Proof
  152.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  153.    wt: 1:   26 Chain Rule Recognising outer inner functions
  154.    wt: 1:   25 Chain Rule Animated Examples Continued
  155.    wt: 1:   24 Chain Rule Animated Examples
  156.    wt: 1:   23 Chain Rule in general
  157.    wt: 1:   22 Chain Rule for polynomials
  158.    wt: 1:   21 Chain Rule for powers
  159.    wt: 1:   20 Chain Rule for Pulley Systems
  160.    wt: 1:   19 Chain Rule for linear functions
  161.    wt: 1:   17 Derivatives of quotients of sine and cosine
  162.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  163.    wt: 1:   15 sine and cosine derivatives 3rd step
  164.    wt: 1:   14 sine and cosine derivatives 2nd step
  165.    wt: 1:   13 sine and cosine derivatives 1st step
  166.    wt: 1:   12 Quotient rule examples
  167.    wt: 1:   11 Quotient rule
  168.    wt: 1:   10 Power rule for negative integers
  169.    wt: 1:   9 Reciprocal rule
  170.    wt: 1:   8 Differentiation of polynomials
  171.    wt: 1:   7 Animated Differentiation Examples
  172.    wt: 1:   6 Power rule from product rule
  173.    wt: 1:   5 Product Rule
  174.    wt: 1:   4 Sum Rule
  175.    wt: 1:   3 Motivation for Limit Definition Take 2
  176.    wt: 1:   2 Motivation for Limit Definition Take 1
  177.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  178.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  179.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  180.    wt: 1:   11 Limits at infinity Three Examples
  181.    wt: 1:   10 Three one sided limits with infinite values
  182.    wt: 1:   9 Limits Continuity and Composition
  183.    wt: 1:   8 Four Animated Examples
  184.    wt: 1:   7 Evaluation by immediate or delayed substitution
  185.    wt: 1:   6 Continuity at a point
  186.    wt: 1:   5 Jumps and absence of unlimited error control
  187.    wt: 1:   4 Numerical properties
  188.    wt: 1:   3 Decimal insights for limits continuity convergence
  189.    wt: 1:   2 Algebraic codification
  190.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  191.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  192.    wt: 1:   G.5 Motions With Bounded Velocities
  193.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  194.    wt: 1:   G.3 Constant Difference Theorem Proof
  195.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  196.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  197.    wt: 1:   F.5b Extreme Value Theorem
  198.    wt: 1:   F.5a Equicontinuity Theorems
  199.    wt: 1:   F.4 Finite Covering Theorem
  200.    wt: 1:   F.3 Intermediate Value Theorem
  201.    wt: 1:   F.2 Closed Range Theorem
  202.    wt: 1:   F.1 What Functions are Continuous
  203.    wt: 1:   E2 Algebraic Properties of Limits
  204.    wt: 1:   E1 Error Control Inequalities
  205.    wt: 1:   D2 Limits of Monotone Sequences
  206.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  207.    wt: 1:   C Triangle Inequalities
  208.    wt: 1:   B3 Bolzano Weierstrass Theorem
  209.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  210.    wt: 1:   PostScript For and Against Decimal Perspectives
  211.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  212.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  213.    wt: 1:   Chapter 23 Links To Trigonometry
  214.    wt: 1:   Chapter 22 Complex Numbers
  215.    wt: 1:   Chapter 21 Arrow Addition
  216.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  217.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  218.    wt: 1:   Chapter 18. Slopes Areas Integration
  219.    wt: 1:   Chapter 17. Area Approximation
  220.    wt: 1:   Chapter 16. Velocity Approximation
  221.    wt: 1:   Chapter 15. Slope Approximation
  222.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  223.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  224.    wt: 1:   Chapter 13. Acceleration
  225.    wt: 1:   Chapter 12. Units and Slopes
  226.    wt: 1:   Chapter 11. Graphing Slope versus Position
  227.    wt: 1:   Chapter 10 Slopes and Units
  228.    wt: 1:   Chapter 8. Slope Interpretation
  229.    wt: 1:   Chapter 7 Slopes and Velocity
  230.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  231.    wt: 1:   Chapter 5. Slope Sign Tests
  232.    wt: 1:   Chapter 4. More Slope Sign Analysis
  233.    wt: 1:   Chapter 3. Slope Sign Analysis
  234.    wt: 1:   Chapter 2. Slopes and Ski Trails
  235.    wt: 1:   Foreword
  236.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  237.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  238.    wt: 1:   Postscript B Mathematics Education References
  239.    wt: 1:   Chapter 1 Introduction
  240.    wt: 1:   Chapter 1 Introduction
  241.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  242.    wt: 1:   Mathematics Education References
  243.    wt: 1:   Mathematics Education References
  244.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  245.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  246.    wt: 1:   More Algebra and Slope based Calculus Preview
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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