Appetizers and Lessons for Mathematics and Reason (www.whyslopes.com)

Online Volumes
1,  Elements of Reason.
1A. Pattern Based Reason 
1B. Math Curriculum Notes
2. Three Skills for Algebra
3. Why Slopes & More Math
 (Optional Book Orders)
More Site Areas 
1. Help Your Child or Teen Learn 
2. Solving Linear Equations
3. Fractions Ratios Rates Proportions & Units
4. Euclidean Geometry
5. Analytic Geometry/Functions 
6. Number Theory
7. More Calculus
More Site Areas 
8. Complex Numbers 
9. Qc Maths  Education  
10. Secondary IV(?) maths
11. Real  Analysis 
12. LaTeX2HotEqn:
13. Electric Circuits Etc  
14.  Français
15. Algebra, Odds & Ends, Etc
More Site Areas 
16. Math Education Essays
17**. Telling & Working with Time
18**. Maps, Plans & Drawings
19**. Quantitative Skills for  home and  work, etc, etc 
20**. Statistics .
** Means Under-construction.

Test the Twiddla Whiteboard

||Définition d'une variable || Algèbre || Arithmetique || Logique ||La raison basée sur les règles et modelés||

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If you offer online courses in mathematics, do you have an affiliate program? [Yes]  [No]
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YOU may be better than YOU think. Show yourself  how:  

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Read  logic chapters 1 to 5  in online volume Three Skills for Algebra  for greater skills & confidence in  work 
and study

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 Logic chapters 1 to 5  re- appear not in sequence, as is or longer,  in  Volume 1A,  Pattern Based Reason, Bon Appetite.


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

Logic mastery makes the hard, easier. Logic mastery  leads to better, stronger and richer comprehension.  Logic mastery  improves reading and writing.  Logic mastery ease learning difficulties.  Logic mastery gives a headstart.  In sum, 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 liinear 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.

 

Telling and Working With Time - Area Stub

This site area will describe

  • what students may see at home and in primary school
  • how to calculate intervals of time in seconds, minutes, weeks and years.
  • how to predict days of the week.
  • Etc, Etc.

In time-based societies, telling time, saying when and saying how long to wait is key to home life where pre-schoolers need to what time to sleep, eat, go out and return. Later, on there are questions of what day will it be in several or many days time, and questions of many days there will be between two sch dates. Calculations with time are very simple.  This site area will introduce a few tools to make working with time simpler for students, young and old.

 

www.whyslopes.com
Entrance Level

Pages For Teachers


Your IP Address  & how to use it

Pages for Students

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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The Rest © 1995 onward by site author,   Alan Selby,
a 1983 McGill. Ph. D. in mathematics
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