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For someone interested in the learning of mathematics, what does the web offer? This is my
impression.
There are some excellent sites made by
individuals like Cut the Knot by Alex Bogomolny, www.cut-the-knot.com/.
There are some good collaborative efforts
like The Math Forum, http://mathforum.org/
The major Mathematics Education Journals do
not put many of their articles online.
I have a hard time tracking down articles on
a given topic. I am drowning in links to online bookstores, and pages with little or
nothing of value on them.
Useful teaching material is not
easily found.
Most of what I find is US or Europe centred.
I am not good at finding pages from the rest of the world. India, Zambia, Argentina, ...
For what it is worth, I will gather, as time
goes by, links in several categories on this page. There are three levels of links:
Primary or direct link. A link to a page on
a certain topic. For example, news.bbc.co.uk/hi/english/sci/tech/newsid_128000/128906.stm
is a direct link to a page about listening to geometry.
Secondary link. A link to a page with
primary links. For example, www.cut-the-knot.com/books/
is a link to Alex Bogomolny's page with links to good pages about carefully selected
books.
Tertiary links. A link to a page with links
to sites. For example, http://www.bbc.co.uk/learning/library/maths/index.shtml
is a link to a list of links to reviewed sites for Math for Secondary Schools from BBC
Education.
Links are good if they lead you, sooner or
later, to good pages. At the moment, I have found the case to be later rather than sooner.
What I need is not so much tertiary and secondary links, but good primary ones.
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Math
columns online
- These good people do not seem to have any columns online:
Ian Stewart, Douglas Hofstadter, David Wells, A K Dewdney, Martin Gardner. Please, correct me if I am wrong.
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Pages
with recommended sites
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| Online
magazines
Alive and well:
Folded, but with some back issues online:
Online
newsletters
Electronic
newsletters
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| Online clubs for students
Comprehensive
resource sites
- Centre for Innovation in Mathematics Teaching, www.ex.ac.uk/cimt/resource/resource.htm.
"The Centre is keen to exploit the potential that exists with the internet for the
effective, but cheap dissemination of suitable resources. To this end we plan to expand
our bank of resources as rapidly as possible, concentrating initially on certain topic
areas."
- Mathematics Archives, archives.math.utk.edu/.
- Eisenhower National Clearinghouse, www.enc.org/.
- MacTutor History, www-groups.dcs.st-and.ac.uk/~history/.
- Virtual Library: Mathematics, euclid.math.fsu.edu/Science/math.html.
- The Math Forum, http://mathforum.org/.
- Cut the Knot by Alex Bogomolny, www.cut-the-knot.com/.
- Math education resources from ERIC, www.ericse.org/mathindex.html.
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| Search engines:
- Swarthmore: http://mathforum.org/~steve/mathall.search.html
- www.maths.usyd.edu.au:8000/MathSearch.html."To
search a collection of over 180,000 documents on English-language mathematics and
statistics servers across the Web, enter one or more "phrases'', then start the
search. Note that most of the material is concerned with research-level and university
mathematics."
- MATHDI Database, Zentralblatt für Didaktik der Mathematik, www.emis.de/MATH/DI.html. Mathematical
Didactics 1976 - present. Gives the printed source, but no web links.
Contains ~ 75.000 papers and books from education in mathematics and computer science.
Free demo access.
- SumFun's list of search engines and indexes: webhome.idirect.com/~sumfun/info5.htm
- Mathematics Magazine, www.math.hmc.edu/MathMag/. This database
contains records for almost every Article, Note, and Proof Without Words published in
Mathematics Magazine since 1927. All records include the title, author(s), and
bibliographic information, and most articles published after 1974 also include the first
paragraph of the corresponding publication and possibly authors' summaries.
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| Software:
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| Paper
magazines
What do the well known math education
magazines offer online? Here is a list of what I have found:
nothing at all, index of issues, abstract of
articles, a few articles online from each issue, only one sample issue online, all
articles online after one year of publication, all articles online for a fee, some
articles can be download as Acrobat files.
- Magazines from
National Council of Teachers of Mathematics (USA),
home page, www.nctm.org/
News Bulletin Online,
www.nctm.org/news-bulletin/. The NCTM
News Bulletin is the membership newsletter of the National Council of Teachers of
Mathematics. Back to March 1977. A
few articles from each issue are available online.
Teaching Children Mathematics (TCM Online),
www.nctm.org/tcm/tcm.htm is presented
as a sample of the materials available to subscribers to the print version of TCM.
Teaching Children Mathematics is a forum for the exchange of ideas and a source of
activities and pedagogical strategies for mathematics education pre-K-6. Back to April
1996. A few articles from each issue are available online.
Mathematics Teaching in the Middle School,
www.nctm.org/mtms/mtms.htm is
intended as a resource for middle school students, teachers, and teacher educators. The
focus of the journal is on intuitive, exploratory investigations that use informal
reasoning to help students develop a strong conceptual basis that leads to greater
mathematical abstraction. Back to May 1996. A few articles from each issue are available online.
The Mathematics Teacher, www.nctm.org/mt/mt.htm is presented as a sample
of the materials available to subscribers to the printed version of the Mathematics
Teacher (MT). The Mathematics Teacher is devoted to improving mathematics instruction in
grade 8 through two-year and teacher-education colleges. Back to April 1996. A few articles from each issue are available
online.
Journal for Research in Mathematics Education,
www.nctm.org/jrme/. Abstracts
of current issue is online. NCTM members can subscribe to full text articles.
- Magazines from
Association of Teacher of Mathematrics (UK),
ATM's homepage http://www.atm.org.uk/
Mathematics Teaching
http://www.atm.org.uk/journals/mathematicsteaching.html
No articles online
Micromath, http://www.atm.org.uk/journals/micromath.html. Matematics
Teaching and Micromath are magazines of very high quality with articles ranging from
research to the purely anecdotal. In both journals the emphasis is very firmly on children
in school learning mathematics, although Micromath stresses the use of computers and
calculators to facilitate this process. Back to spring 1997. Index
of each magazine, a few online articles.
- Magazines from The
Mathematical Association (UK),
home page http://www.m-a.org.uk/
Mathematics in School, http://www.m-a.org.uk/eb/mis/index.htm
Mathematical Gazette,
http://www.m-a.org.uk/eb/mg/index.htm
Symmetry Plus, http://www.m-a.org.uk/eb/sp/index.htm
- Magazines from The
Australian Association of Mathematics Teachers,
home page www.aamt.edu.au/.
Teaching Mathematics and its Applications (UK)
www.oup.co.uk/teamat/.
Index and abstracts of journals from March
1996, www.oup.co.uk/teamat/contents/.
Educational Studies in Mathematics
(Netherlands). kapis.www.wkap.nl/sampletoc.htm?0013-1954+36+1+1998.
One sample copy online.
International Journal of Computers for Mathematical
Learning, Seymour Papert Editor in Chief. www.wkap.nl/journalhome.htm/1382-3892.
For the Learning of Mathematics (Canada).
http://flm.math.ca/
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| Associations and Centres:
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| Articles:
(primary links!)
- Martin Gardner interview in Skeptical Inquirer Magazine www.csicop.org/si/9803/gardner.html.
- Japanese Temple Geometry. "In Japan between the 17th
and 19th centuries, everyone from peasants to samurai solved geometric proofs and offered
up the solutions to the spirits. Some of their answers provide clever alternatives to
Western mathematics." www.sciam.com/1998/0598issue/0598rothman.html.
- Listening to Geometry. news.bbc.co.uk/hi/english/sci/tech/newsid_128000/128906.stm.
- Fermat's Last Theorem finally proved! www.pbs.org/wgbh/nova/proof/.
- Stack 'em Tight. Has a U.S. mathematician solved a
centuries-old puzzle about packing spheres? www.sciam.com/explorations/1998/091498sphere/index.html.
- Cybernetics and the Art of Living, Ernst von Glasersfeld.
The 'real' world does not show us when we are right, but when we are wrong. www.oikos.org/Vonglas2oct.htm.
- A Tribute to David Wheeler. He wrote thought-provoking
articles in Mathematics Teaching and founded For The Learning of Mathematics. elib.zib.de/IMU/ICMI/bulletin/42/icmi.wheeler.html.
- The World As I see It - an essay by Einstein. www.aip.org/history/einstein/essay.htm.
- Arnold Ross: We fail to acknowledge fully the destructive power of boredom. Let us note
that
"boredom'' is not the opposite of the common parlance expression of "having
fun''. Curiosity is a prevalent (and happy) human trait. It encourages the transition from
"look'' to "see''. In bringing up the very young we must encourage their urge to
explore. We must nurture their capacity to observe, to experiment, to project their
experience adventurously (conjecture!). In http://www.ams.org/government/views-ross.html.
Web conferencing
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| Reactions: Seen any good links? Tell Mum why you
liked them. Do you have 20 links that could make a book?
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