Appetizers and Lessons for Mathematics and Reason - Entrance Level 
||Définition d'une variable || Algèbre || Arithmetique || Logique ||La raison basée sur les règles et modelés||

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1,  Elements of Reason.
1A. Pattern Based Reason 
1B. Math Curriculum Notes
2. Three Skills for Algebra
3. Why Slopes & More Math
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** Means Under-construction.

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Maths Jobs/ Courses
for students in or visiting  Montreal

- sponsor required-


YOU are better than YOU think. Show yourself  how:

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Read  logic chapters 1 to 5  in online volume Three Skills for Algebra  
Then seek 4 skills for algebra in it.

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 Logic Mastery
 Amazing, Amusing, Amorous,  Delicious, Delightful, Edifying, Strengthening Elixir. 
It eases work & learning difficulties Makes the hard easier. Opens eyes. Leads to greater precision.
in reading and
writing

Do not leave here without it -  Logic mastery  will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck.


After logic  (a) continue reading Three Skills for Algebra, chapters 8 to 14  and do so alongside site area on solving linear2007 Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes  & More Math, chapters 2 to 6;

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Caution: Site advice is approximately correct, for some circumstances, not all. That leaves room for thought

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What may be learnt and when depends on how skills and concepts are developed. Making the hard easier and clearer will allow earlier & richer development of skills and concepts.


Try the Twiddla Whiteboard. In principle, it  allows to people to draw and chat together online on a copy of this webpage or a clean sheet. The chat may be via text or audio.  Visit www.twiddla.com to set up whiteboards to work with the webpage of your choice.

For online automated help in senior high school maths & calculus, visit  quickmath.com  For Automatic Calculus and Algebra Help with derivatives, integrals, graphs, linear equations, matrix algebra, visit calc101.com  With  overlap, each site quickmath & calc101offers a different range of services, some free, some not, all based on webmathematica. Good luck.

 

Our Neighbors

Math Cafe -- more than logic served here.

Logic Appetizers
eat on your feet

If one is not to your taste, try another.

  1. Two Logic Puzzles -- your egg and five questions twice over, lemon flavored. Available in Garlic flavour too.
  2. Chains of Reason -- for sluggers.
  3. Longer Chains of Reason -- for romantic types who like to climb ladders with accessible steps.
  4. Islands and Divisions of Pattern Based Thought --- an Euclidean model for thought, in separate heaps, perhaps.
  5. Deception - apart from white lies or diplomacy, not recommended all the time.
  6. English Lemons or French Garlic -- tongue flavored algebra. The lemon is bigger.
  7. Pedestrian Fare -- for future safe returns. If there are no side walks, on which side of a road should you walk. 
  8. Checking for Consistency. Meet the indirect methods of reason that might be useful in detective work, research in science or reason in mathematics. 

Main Courses 

 if appetizers create an appetite.

Slow digestion recommended.

New Main Courses
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Three Links for Teachers:
(i) First Year High School Math - Lesson Plans with Fraction Focus (ii) Second Year High School Math - Lesson Plans with an algebra focus (iii) Algebra Lesson Plans

 

Help U Learn/ Teach

  1. Algebra
    words before symbols - direct & indirect use of formula, numerical versus algebraic solutions - what is a variable (more words)
  2. Arithmetic
    - exercises
    - with fractions
    - videos on primes, lcm, gcm,lcd, square roots etc
  3. Calculus - geometric preview, algebraic preview,
    3 study guides,
    much more
  4. Complex numbers
    -starter lesson with java applet - easy consequences  for trig & vectors in the plane
  5. Education
    - Empirical Course Design & Delivery
  6. Fractions
    - alone
    - by rote
    - with algebra
    - videos
  7. Functions - introduction
    hindsight - composition aka
    substitution
    -
  8. Geometry, Euclidean - Correspondence of trianglesTriangle construciton,  duplication & Isometry - Failure of ASA & the // line postulate - angle sum in triangles -// grams - Triangle Similarity
  9. Geometry- Analytic - functions, polynomials, complex numbers, unit circle trigonometry
  10. Logic
    - First Steps -
    Symbols in Logic -
     Occurrence & Truth Tables - Indirect Reason -Indirect Reason More
  11. Proportionality
    - Definition - Direct & Indirect Use - Numerical versus Algebraic Solutions
  12. Real Analysis
    - Decimal View of concepts and of proofs
  13. Rules &Patterns in Science, Technology & Society - Pattern Based Reason
  14. Mathematical Reasoning, empirical, inductive or deductive
  15. Units
    - in rates & slopes & (?) derivatives
    - in ratios & proportions - slopes & rates included
  16. Complex Numbers & Vectors & Trig
    trig expression for dot & cross - cosine law

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