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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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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
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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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What is the Main Aim of High School Mathematics?
Most skills and concepts in high school mathematics today are
present to prepare students for college mathematics, that
is calculus and beyond. Calculus mastery is the key to good
performance or to advance studies in business, engineering, science,
mathematics and medicine.
In reverse sequence, calculus requires from earlier high
school mathematics mastery of the following: unit circle trig, analytic geometry,
basic Euclidean geometry, exact algebra (solving equations and verifying
solutions, operations on roots, polynomials and functions), exact and
efficient, nearly calculator-free, arithmetic with whole numbers and fractions,
logic mastery, mathematical induction, arithmetic and geometric sums,
verbal description of numbers and quantities as known or not, constant, variable
and so on. Calculus does not require mastery of probability or
combinatorics - labeling and counting items of -interest - but lessons on
probability and combinatorics can serve as a means to develop or reinforce exact
operations on fractions - a must for calculus and before that exact reasoning in
algebra. In the foregoing, mastery of complex numbers may help with
roots and factorization of polynomial. Mastering all the foregoing represents a to
do list for student aiming for college studies. Mastering all the
foregoing represent a two to five year task depending on course design and
whether or not students are streamed according their abilities to study and
the quality of course design and materials.
Preparation for calculus and beyond should not be the only end for high
school mathematics. But students who are do well in topics needed for
calculus are also prepared for less demanding ends. Both students
and teachers need to see how different parts of the preparation for
calculus in high school mathematics could cover most of the trades and
quantitative skills students are likely to meet in the workplace and in their
personal lives. Describing in detail the mathematical requirements of trades
and activities students are likely to meet in the workplace and their personal
lives would provide more immediate motivation for mathematics mastery. Writing
such a description provides another to do for site expansion.
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whyslopes.com
Entrance Level
UK Tutors -All
Subjects
Montreal 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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