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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12 matches:

  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   LAMP Lean Applied Mathematics Program/
  4.    wt: 2:   Secondary Mathematics A Practical Approach/
  5.    wt: 1:   Archives/
  6.    wt: 1:   Mathematics Skills Year by Year/
  7.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  8.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  9.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  10.    wt: 1:   Mathematics 506 Lessons/
  11.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  12.    wt: 1:   Mathematics Skill Development Framework/

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80 matches:

  1.    wt: 3:   Secondary One Mathematics
  2.    wt: 3:   13 From one to one to many to one
  3.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  4.    wt: 2:   Mathematics Education Professors
  5.    wt: 2:   Secondary Three Mathematics
  6.    wt: 2:   Secondary Two Mathematics
  7.    wt: 2:   three goals for Mathematics Education
  8.    wt: 2:   02 20 mathematics education references
  9.    wt: 2:   Education in mathematics science and technology
  10.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  11.    wt: 2:   16 Secondary Mathematics Tips
  12.    wt: 2:   Postscript B Mathematics Education References
  13.    wt: 2:   Mathematics Education References
  14.    wt: 2:   Mathematics Education References
  15.    wt: 1:   K LAMP Musings Science Education
  16.    wt: 1:   E LAMP Introduction Modern Mathematics
  17.    wt: 1:   11 pure mathematics
  18.    wt: 1:   5 logarithms and exponentials etc
  19.    wt: 1:   links Education Resources online
  20.    wt: 1:   modern education
  21.    wt: 1:   mathematics in context
  22.    wt: 1:   Education Reform Inconsistencies
  23.    wt: 1:   mathematics curriculum shifts
  24.    wt: 1:   04 29 New Mathematics Curriculum
  25.    wt: 1:   three aims for mathematics students
  26.    wt: 1:   mathematics instruction in general
  27.    wt: 1:   three kinds of reason in mathematics
  28.    wt: 1:   Four ways to improve education reform
  29.    wt: 1:   need for a mixed mathematics curriculum
  30.    wt: 1:   Leaner mathematics curriculum
  31.    wt: 1:   education an empirical art
  32.    wt: 1:   words for mathematics instructor
  33.    wt: 1:   22 Student Centered Highschool Mathematics
  34.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  35.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  36.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  37.    wt: 1:   18 Primary School Mathematics
  38.    wt: 1:   12 Goals and Objectives For Mathematics
  39.    wt: 1:   11 Help and Defend Your Child or Teens Education
  40.    wt: 1:   26 Function definitions done and coming
  41.    wt: 1:   4 Function notation in and beyond mathematics
  42.    wt: 1:   10 Exponential Growth and Decay Models
  43.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  44.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  45.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  46.    wt: 1:   2 Radian Measure Numerical Value of one degree
  47.    wt: 1:   12 From Applied To Pure Mathematics
  48.    wt: 1:   11 Component Method
  49.    wt: 1:   12 Graph of tangent function for one period
  50.    wt: 1:   9 Graphs of sine and cosine over one period
  51.    wt: 1:   21 Logarithms Powers and Exponentials
  52.    wt: 1:   2 Essentially one exercises three with solution
  53.    wt: 1:   1 Essentially One Unknown
  54.    wt: 1:   10 One Example
  55.    wt: 1:   8 One Example
  56.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  57.    wt: 1:   9 Volume of Cone
  58.    wt: 1:   3 More One Digit Multipliers
  59.    wt: 1:   2 One Digit Multipliers
  60.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  61.    wt: 1:   Example 2 volume of a cone
  62.    wt: 1:   34 Derivative of exponential function
  63.    wt: 1:   10 Three one sided limits with infinite values
  64.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  65.    wt: 1:   D2 Limits of Monotone Sequences
  66.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  67.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  68.    wt: 1:   Appendix E. How To Study Mathematics and Why
  69.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  70.    wt: 1:   Chapter 2 For and Against Mathematics
  71.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  72.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  73.    wt: 1:   R Why Learn Mathematics Skills
  74.    wt: 1:   O On Learning Mathematics and Science
  75.    wt: 1:   N Mathematics Prepare for College Studies
  76.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  77.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  78.    wt: 1:   Helping the Blind in Logic and Mathematics
  79.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  80.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

214 matches:

  1.    wt: 7:   Secondary One Mathematics
  2.    wt: 6:   Mathematics Education Professors
  3.    wt: 6:   Secondary Three Mathematics
  4.    wt: 6:   Secondary Two Mathematics
  5.    wt: 6:   three goals for Mathematics Education
  6.    wt: 6:   02 20 mathematics education references
  7.    wt: 6:   Education in mathematics science and technology
  8.    wt: 5:   links Education Resources online
  9.    wt: 5:   modern education
  10.    wt: 5:   mathematics in context
  11.    wt: 5:   Education Reform Inconsistencies
  12.    wt: 5:   mathematics curriculum shifts
  13.    wt: 5:   04 29 New Mathematics Curriculum
  14.    wt: 5:   three aims for mathematics students
  15.    wt: 5:   mathematics instruction in general
  16.    wt: 5:   three kinds of reason in mathematics
  17.    wt: 5:   Four ways to improve education reform
  18.    wt: 5:   need for a mixed mathematics curriculum
  19.    wt: 5:   Leaner mathematics curriculum
  20.    wt: 5:   education an empirical art
  21.    wt: 5:   words for mathematics instructor
  22.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  23.    wt: 4:   11 pure mathematics
  24.    wt: 4:   5 logarithms and exponentials etc
  25.    wt: 4:   why bother
  26.    wt: 4:   which way to go
  27.    wt: 4:   website reviews
  28.    wt: 4:   three goals to set for students
  29.    wt: 4:   Teach the teachers plus goals
  30.    wt: 4:   permissions for teachers
  31.    wt: 4:   Math Ed if it must be short make it lean effective
  32.    wt: 4:   Applied Maths Program14092009 POMME variant
  33.    wt: 4:   activities for students
  34.    wt: 4:   site origins
  35.    wt: 4:   site eurekas
  36.    wt: 4:   About site lesson plans
  37.    wt: 4:   key notes and themes
  38.    wt: 4:   teacher certification
  39.    wt: 4:   learning takes time
  40.    wt: 4:   grouping students according to ability
  41.    wt: 4:   what should be learnt and When
  42.    wt: 4:   Postscript 2007 01 10
  43.    wt: 4:   five decades make a difference
  44.    wt: 4:   Maps Plans Drawings
  45.    wt: 4:   how letters appear
  46.    wt: 4:   talk the algebra talk
  47.    wt: 4:   three difficulties
  48.    wt: 4:   teaching tips
  49.    wt: 4:   What to Tell Students
  50.    wt: 4:   geometric implications for algebra
  51.    wt: 4:   teaching tutoring algebraic reason
  52.    wt: 4:   Lessening Algebra Difficulties
  53.    wt: 4:   the trouble with algebra
  54.    wt: 4:   05 13 OldSiteEntrancePage
  55.    wt: 4:   04 25 when to stop or suspend mathemat
  56.    wt: 4:   02 21 words for teachers
  57.    wt: 4:   standards for course material
  58.    wt: 4:   Operational Viewpoint to Value
  59.    wt: 4:   formal or informal peer review
  60.    wt: 4:   Theory of Knowledge
  61.    wt: 4:   Different Kinds of Reasoning in maths
  62.    wt: 4:   cultivating intelligence
  63.    wt: 4:   How to be a better instructor
  64.    wt: 4:   Motivation and Context Problem
  65.    wt: 4:   Prequel In For A Penny In For A Pound
  66.    wt: 4:   fairness and inductive principles for instruction
  67.    wt: 3:   K LAMP Musings Science Education
  68.    wt: 3:   E LAMP Introduction Modern Mathematics
  69.    wt: 3:   10 statistics
  70.    wt: 3:   9 combinatorics probability sets
  71.    wt: 3:   8 analytic geometry etc
  72.    wt: 3:   7 logic review and decimals an odd combination
  73.    wt: 3:   6 polynomials etc
  74.    wt: 3:   4 algebra
  75.    wt: 3:   3 Euclidean Geometry Leanly
  76.    wt: 3:   2 arithmetic with signed numbers
  77.    wt: 3:   1 arithmetic with unsigned numbers
  78.    wt: 3:   What is POMME
  79.    wt: 3:   13 From one to one to many to one
  80.    wt: 3:   Postscript B Mathematics Education References
  81.    wt: 3:   Mathematics Education References
  82.    wt: 3:   Mathematics Education References
  83.    wt: 2:   Appendix 2 primary school Arithmetic 01
  84.    wt: 2:   Appendix 1 primary and preschool mathematic
  85.    wt: 2:   J LAMP Introduction Extrinsic Origins
  86.    wt: 2:   I LAMP Introduction Study Habits
  87.    wt: 2:   H LAMP Introduction Instructional Concepts
  88.    wt: 2:   G LAMP Introduction Problem Solving Skills
  89.    wt: 2:   F LAMP Introduction Prerequisites
  90.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  91.    wt: 2:   A Introduction Objectives
  92.    wt: 2:   Skills Chapter 5 Calculus
  93.    wt: 2:   Skills Chapter 4 Logic
  94.    wt: 2:   Ramblings Extrinsic numbers theory
  95.    wt: 2:   Ramblings Introduction Algebra Essay
  96.    wt: 2:   Skills Chapter 3 Algebra
  97.    wt: 2:   Skills Chapter 2 Geometry
  98.    wt: 2:   Skills Chapter 1 Arithmetic
  99.    wt: 2:   Skills Chapter 0 Introduction
  100.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  101.    wt: 2:   16 Secondary Mathematics Tips
  102.    wt: 2:   10 Exponential Growth and Decay Models
  103.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  104.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  105.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  106.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  107.    wt: 2:   Chapter 2 For and Against Mathematics
  108.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  109.    wt: 2:   Chapter 8 Skipped Topics and Why
  110.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  111.    wt: 2:   Chapter 6 More Algebra and Geometry
  112.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  113.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  114.    wt: 2:   Chapter 3 Algebra Starter Lessons
  115.    wt: 2:   Chapter 2 Why Sets
  116.    wt: 2:   Chapter 1 Arithmetic
  117.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  118.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  119.    wt: 2:   Helping the Blind in Logic and Mathematics
  120.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  121.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  122.    wt: 1:   22 Student Centered Highschool Mathematics
  123.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  124.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  125.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  126.    wt: 1:   18 Primary School Mathematics
  127.    wt: 1:   12 Goals and Objectives For Mathematics
  128.    wt: 1:   11 Help and Defend Your Child or Teens Education
  129.    wt: 1:   Ages 12 to 14 Skills with take home value
  130.    wt: 1:   Ages 12 to 14 Geometry
  131.    wt: 1:   Ages 12 to 14 Arithmetic
  132.    wt: 1:   Ages 10 to 12 Geometry
  133.    wt: 1:   Ages 10 to 12 Arithmetic
  134.    wt: 1:   Ages 9 to 10
  135.    wt: 1:   Ages 8 to 9
  136.    wt: 1:   Ages 7 to 8
  137.    wt: 1:   Ages 6 to 7
  138.    wt: 1:   Ages 4 plus to 5 plus
  139.    wt: 1:   Ages 3 plus to 4 plus
  140.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  141.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  142.    wt: 1:   26 Function definitions done and coming
  143.    wt: 1:   4 Function notation in and beyond mathematics
  144.    wt: 1:   11 Growth and Decay in Biology
  145.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  146.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  147.    wt: 1:   5 Natural Logarithm Calculator Exercises
  148.    wt: 1:   2 Square Root Simplification a prequel
  149.    wt: 1:   1 Calculator Starter Exercises
  150.    wt: 1:   2 Radian Measure Numerical Value of one degree
  151.    wt: 1:   12 From Applied To Pure Mathematics
  152.    wt: 1:   11 Component Method
  153.    wt: 1:   12 Graph of tangent function for one period
  154.    wt: 1:   9 Graphs of sine and cosine over one period
  155.    wt: 1:   21 Logarithms Powers and Exponentials
  156.    wt: 1:   2 Essentially one exercises three with solution
  157.    wt: 1:   1 Essentially One Unknown
  158.    wt: 1:   6 Algebraic Solution Example
  159.    wt: 1:   5 Algebraic Solutions Introduction
  160.    wt: 1:   4 Four Examples Fractional Coefficients
  161.    wt: 1:   3 Four Examples
  162.    wt: 1:   2 Three Examples
  163.    wt: 1:   1 Proper Equal Sign Usage
  164.    wt: 1:   10 One Example
  165.    wt: 1:   8 One Example
  166.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  167.    wt: 1:   9 Volume of Cone
  168.    wt: 1:   3 More One Digit Multipliers
  169.    wt: 1:   2 One Digit Multipliers
  170.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  171.    wt: 1:   Example 2 volume of a cone
  172.    wt: 1:   34 Derivative of exponential function
  173.    wt: 1:   10 Three one sided limits with infinite values
  174.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  175.    wt: 1:   D2 Limits of Monotone Sequences
  176.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  177.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  178.    wt: 1:   Appendix E. How To Study Mathematics and Why
  179.    wt: 1:   Annotated Links to Material Elsehwere
  180.    wt: 1:   Postscript A Three Remarks
  181.    wt: 1:   Chapter 12 Four Phases
  182.    wt: 1:   Chapter 11 Elementary Instruction
  183.    wt: 1:   Chapter 10 Transition
  184.    wt: 1:   Chapter 9 The Two Ends
  185.    wt: 1:   Chapter 8 Modern Instruction
  186.    wt: 1:   Chapter 7 Two Treatments of Geometry
  187.    wt: 1:   Chapter 5 Four References
  188.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  189.    wt: 1:   Chapter 3 Algebra Difficulties
  190.    wt: 1:   Chapter 1 Introduction
  191.    wt: 1:   Foreword
  192.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  193.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  194.    wt: 1:   R Why Learn Mathematics Skills
  195.    wt: 1:   O On Learning Mathematics and Science
  196.    wt: 1:   N Mathematics Prepare for College Studies
  197.    wt: 1:   7 Games and Activities for Instruction
  198.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  199.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  200.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  201.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  202.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  203.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  204.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  205.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  206.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  207.    wt: 1:   Implementation Notes
  208.    wt: 1:   More Algebra and Slope based Calculus Preview
  209.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  210.    wt: 1:   Systematic Algebra Skill Development Missing Links
  211.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  212.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  213.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  214.    wt: 1:   Which Way To Go
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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