[RUME] Correction to typos etc in previous announcement
Alan Selby
whyslopes at sympatico.ca
Tue Apr 17 04:58:17 EDT 2012
Mathematics education author Alan Selby, Ph. D., has added a new section
"Secondary Mathematics for Ages 11+, a Practical Approach" to his website.
There is a link to it from the top border of every page. Its URL is
www.whyslopes.com/index.php/0400Secondary_Mathematics_-_A_Practical_Approach/
Section material provides a coherent guide to technical innovations in
other site sections aimed at simplify and easing the learning and teaching
of
arithmetic and number theory practices, elementary and advance algebra,
elementary and advanced
geometry. The new section descibes two calculus previews for inclusion
in secondary level mathematics as motivation for skills and concepts, or
for inclusion in a light calculus course, more descriptive
than deductive, introducing the key ideas in differential and
integral calculus. An appendix "Calculus with Proofs for the Keen or
Gifted"
describes how to reform calculus, restrict it to Lipshitz continuous
functions, all in
a manner that makes proofs simpler and more accessible for the keen and
gifted. The restriction is essentially without loss to the domain and
range of calculus in
senior secondary and college level mathematics.
As of April 14th, the site has a new title "Logic and Mathematics Skill &
Concept Development" to better reflect its extent and intent. The site
outgrew its original
title "Appetizers and Lessons for Mathematics and Reason" in use since
site birth in June 1995. The new section says how to employ site material,
1200 pages in 70 plus sections, in secondary
level skill and concept building in mathematics, logic and more generally
quantitative
skill development upto calculus. The new section results from the study of
topics European and American
mathematicians were considering in the 1960s for the preparation of
university-bound students in commerce,
science and engineering. It further results from the somewhat ad hoc of a
hundred plus
textbooks and exercise books in use from the mid-1960s to the present in
primary and
secondary level instruction.. The new section and site as a whole is also
the result of
the thought in my 1966 onward highschool and college days that words were
missing
in the introduction of algebra. In the last four plus decades, I have
seen how to remedy most of the difficulties I saw, provide a more
accessible
wordy introduction to algebra, and add multiple technical innovations,
again
to ease and strengthen skill and concept development.
Initially, the aim was to reform modern mathematics curricula of the
period 1960-1990, the content of which essentially implies the content of
today's secondary curricula
apart from the inclusion of more and more statistical methods in the last
two decades. But
technical innovations including methods for the systematic development of
algebra skills in
secondary mathematics and calculus as well, plis reflection on how to make
mathematics instruction serve
the needs of more led to more practical, skill-oriented approach, one
that may
be of service in home-schooling, in home-tutoring, and in independent
schools with control over the
curricula they use. Finally, some pages are slow not to load, but to
appear properly due to the use of
web-based LaTeX tools MathJax and its earlier form jsMath to dynamically
typeset
formulas and equations. Bon Appetite.
--
Alan Selby
www.whyslopes.com
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