Employ an online or offline tutor at your own risk from
AU:
tutorfinder.com.au
CDN :
findatutor.ca
CDN: .i-tutor.ca
CDN: Montreal
Tutors
NZ: findatutor.co.nz
UK:
tutorhunt.com
UK: tutors4me.co.uk
USA: wiziq.com
USA: ziizoo.com
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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.
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Caution: Site advice is
approximately correct, for some circumstances, not all. Site How-TOs
are logically developed, but not tried and tested. That leaves
room for thought and refinement.. |
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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;
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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Explore collaborative whiteboards from groupboard,
twiddla or
scriblink.
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Email Form
Replies to Teacher Level Questions and Comments Follow
Email, June 8th, 2007: We've thoroughly enjoyed looking over
your site and wonder what inspired you to post it and where you are located.
From: Anon.
Reply: From fall 1983 to Spring 1989, I was aware of
difficulties facing students, but as a transient college instructor, I did not
have the standing to speak to colleagues about ideas for course or content
reform. So I left college life in 1989, only to think in the last days of 1990,
I should report my ideas to educational authorities or mathematics societies or
mathematics education societies for discussion and refinement. Lack of
standing for that suggested silence or self-publication. Self-publication began
with one book offline in 1994, and began online in 1995, with a website, the
forerunner to this domain but with the same "Appetizers and Lessons for
Math and Reason" name, on the web-servers of the now defunct, non-profit
society Communication Accessible Montreal.
It was possession of (or was that by) ideas and lack of a venue
or environment for their expression that led to self-publication and continued
self-publication. I can to formulate with words today what I sensed when writing
began. Namely popular, post- modern educational theories guiding education
reform are tangential to content issues, the observation that course
design for direct instruction mathematics is incomplete or awkward in its
exposition of skills and concepts. There is a question today of what
drives course design in mathematics - the rule- and pattern-based, skills and
concepts in mathematics whose artful and applicable mastery may be seen as ends
for instruction, or modern echoes of pre-empirical thought in theories of
education which dismiss the empirical and operational mastery of
rules and patterns from rote learning to proofs as sub-intelligent and too
restrictive, and which dismiss the old careful role of teachers in correcting
student's written work as too authoritative and not of merit since teachers (and
everyone else) cannot read the minds of students to see what was thought.
Modern educational theories appreciated the limitations of rule and pattern
based disciplines, but not the benefits. Where ideologies are diverging, the
proponents of one would not like their adherents formed by the proponents of the
other. There-in lies a rational diminution of post-modern educational
theories on instruction aimed at (i) developing skills and concepts in a rule
and pattern based manner; and at (ii) alerting students to the limitations of
the discipline's rules and patterns.
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www.whyslopes.com
Mathematics Education Essays etc
[ Back ]
Area Intro
Ideas for Better Instruction
4 Ways to Improve Reform
Theory of Knowledge
Peer Review
The Trouble With Algebra
Course Design and Delivery
How Letters Appear
Sit Down & Study
Modern Education
Key Notes and Themes
Site Lesson Plans
How This Site Differs
Site Origins
Math & Logic Puzzles
Comments on site content.
Words For Instructors
Inductive Principles
Fairness Principles
Apprentices & Masters
In for a Penny
Constructivism and Cognitive Theory
Three Remarks
For a Leaner Curriculum
Mixed Maths Curricula
Cultivating Intelligence
Reason - 3 kinds in maths
Logic in Mathematics
Science Education
Maths Instruction in General
Operational View & Values
Standards
Ends and Values
Goals & Unifying Themes
Algebra Lesson Plans
Algebra, Geometrically
Mathematics Curriculum Shifts
Teaching Tips - Fractions to Calculus
Math Ed Perils
Talk the algebra talk
Sec I - Fraction Focus
Sec II - algebra focus
Sec III - Focus on Slopes
Maps-Plans-Drawings
Math Wall Posters
Education, Empirical Art
Damage Reversal
North American Math Curriculum
Managing Reform
Essay January 2007
Educational Follies
Contructivism Incomplete
Missing the Point I
Mathematics in Context
What and When, A Challenge
Grouping Students
Teacher Certification
Education of Math Ed. Professors
Site Eurekas
Links
Help Me 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
construction, 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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