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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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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.
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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
- Educational Services: Tutoring to
Consulting
- Technical Writing, Technical Training and
Quality Assurance Services for training, software development and
quality Assurance.
- Applied Mathematics: Advice, Directions
& Risk Analysis for Computations, Elementary to Complex.
Make first contact with this email
form.
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.
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.
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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
- Algebra
words before symbols
- direct & indirect
use of formula, numerical versus algebraic solutions - what
is a variable (more words)
- Arithmetic
- exercises
- with fractions
-
videos on primes, lcm, gcm,lcd, square roots etc
- Calculus - geometric
preview, algebraic
preview,
3 study guides,
much more
- Complex numbers
-starter lesson with java applet - easy
consequences for trig & vectors in the plane
- Education
- Empirical Course Design
& Delivery
- Fractions
- alone
- by rote
- with
algebra
- videos
- Functions - introduction
hindsight
- composition aka
substitution -
- Geometry, Euclidean - Correspondence
of triangles, Triangle
construciton, duplication & Isometry - Failure
of ASA & the // line postulate - angle
sum in triangles -//
grams - Triangle
Similarity
- Geometry-
Analytic - functions, polynomials, complex numbers, unit circle
trigonometry
- Logic
- First Steps -
Symbols in Logic
-
Occurrence &
Truth Tables - Indirect
Reason -Indirect
Reason More
- Proportionality
- Definition -
Direct & Indirect Use - Numerical versus Algebraic Solutions
- Real Analysis
- Decimal View of concepts
and of proofs
- Rules &Patterns in Science, Technology & Society
- Pattern Based Reason
- Mathematical Reasoning, empirical, inductive or deductive
- Units
- in rates & slopes &
(?) derivatives
- in ratios
& proportions - slopes & rates included
- Complex Numbers & Vectors & Trig
- trig expression for dot
& cross - cosine law
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