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

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)

LAMP -Lean Applied Maths Pgm
More Site Areas 
1. Help Your Child/ 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 & Tracking Time
18**. Maps, Plans & Drawings
19**. Quantitative Skills for  home and  work, etc, etc 
20**. Statistics .
** Means Under-construction.

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Selby Business and Professional Services in education, technical communication 

Montreal Short Courses in mathematics from Mr. Selby  (Montreal visitors welcome).


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 the volume

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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.

 

Math and Logic Related Services

Site author Alan Selby has a 1983 Ph. D. in mathematics. He has taught college and high school mathematics. He has written five books and web pages exploring and looking for better ways to build and motivate skills and comprehensions. He is a critic of  course materials and design in Quebec high school mathematics. 

Mr. Selby offers services in three areas

  1. Educational Services: Tutoring to Consulting
  2. Technical Writing, Technical Training and Quality Assurance Services for training, software development and quality Assurance. 
  3. Applied Mathematics: Advice, Directions & Risk Analysis for Computations, Elementary to Complex.

Make first contact with this email form.  

Educational Services

Mr. Selby offers group instruction with individual attention during and if need-be after group lessons. Mr. Selby also offers long-term individual instruction. 

  • Adult and Serious Students may arrange math and logic instruction for themselves. Students, weak to strong, but with the will to work are preferred. 
  • Businesses may arrange education seminars to check and develop employee math and logic skills and confidence. Logic mastery, a must for greater precision in reading and writing, would lead to clearer communication and less confusion at work.  
  • Community Associations may  arrange Help your child learn math seminars for their employers or Members, and week-end or summer math camps for adults and youth.
  • Parents and Relatives may sponsor summer and week-end jobs where students are paid to meet and master mathematics.  Students themselves can contact parents and relatives to get a sponsor.
  • Parents, Tutors and Teachers may attend or arrange multi-week seminars to upgrade, check and perfect their mathematics coaching skills.  
  • School Boards, Parent Associations and Curriculum Designers may ask for a review of course materials and lesson objectives.

Each client is different. Some testing is required to find his or her level. 

Mr. Selby has a knowledge of English and French sufficient to help students in either language, but his writing skills are limited to English. 

Technical Writing, Technical Training and Quality Assurance Services

Mr. Selby has written one article for the Transactions of the American Mathematics Society; written electrical engineering software (20000 lines of code) for commercial ends; written documentation and user manuals for the latter; and co-authored IEEE papers, conference proceedings, that exploited the latter software.  He has helped colleagues edit and fine-tune papers.  Mr. Selby has met several structural and object oriented programming languages in GUI design and scientific programming.  Mr. Selby's strength lies in logic analysis.

Mr. Selby  can follow and clarify complex reasoning. He can work to ensure that the design and implementation of software or other kinds of program is rational. He can work to identify to identify risks and assumptions in the foregoing.  He is allergic to nonsense and incompleteness in program design, implementation and description. That sensitivity is a must for quality assurance in development and training, and stopper for projects which may too ambitious. 

Applied Mathematics

Mr. Selby has a broad, general technical knowledge of the mathematics  in science, technology and business sufficient to understand the origins and to judge the merits and limitations of simple formulas and complex calculations (numerical methods) in many, many situations. 

Mr. Selby offers the following

  • Help in checking the accuracy and suitability of simple formulas in the well-known but almost forgotten category.
  • Help in checking or developing formulas and numerical methods for ends in business, science or engineering.

The foregoing help may be provided to people working for a living and may be provided to students and their professors in colleges, university and research institutes. 

 

 

whyslopes.com
Entrance Level

UK Tutors -All Subjects
Montreal Area Tutors

Pages For Teachers

Site Entrance & Hub
Permissions for Instructors
Lesson Plans - Sec I
Lesson Plan, Sec II
Lesson Plans - Sec III
Secondary Maths, Core Elements
Site History/Content
Site Reviews
Vol 1. Elements of Reason
Maps Plans Drawings
Quantitative_Skills/index.html
Order  Site Books

HIP, HIP, HIP, Hooray for site
content & history. Hype, Hype,
Hype, Hoorary,
for deception.

Your IP Address  & how to use it

Pages for Students

Site Entrance & Hub
25 hours per course
Site Areas by Age and Subject
Montreal Tutors
Entrance Continued
Still More Advice
Head Start Page
More Advice & Directions
Aims to adopt to aid
Arithmetic Check List
Fraction Skill and Concept Check List
Site History and Content
Books to Read
Complex No.s Intro.,.
Calculus Motivation
Calculus. Guide Short
Calculus. Guide-Long
Calculus Guide - Longest
Links - Many Subjects
Links - Games/Activities
Long Site Intro
Logos Cafe
Logic Check List
Mathematics Cafe
Math CheckList
A Site Map
Advice for Secondary I Students
Three Ways to be a Better Student
Reason for HS Mathematics

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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