Volume 5, Number 13
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27 March 2000 Vol. 5, No. 13
THE MATH FORUM INTERNET NEWS
Encouraging Mathematical Thinking | Want This Job?
Erdos Number Project
ENCOURAGING MATHEMATICAL THINKING:
DISCOURSE AROUND A RICH PROBLEM
Math Forum: Bridging Research and Practice Group (BRAP)
http://mathforum.org/brap/wrap/
This videopaper by the Math Forum's Bridging Research and
Practice Group (BRAP) of teacher practitioners and Math
Forum Staff opens a conversation around the use of discourse
as a basis for encouraging students' mathematical thinking
and supporting teachers' professional growth. Reflecting
an attempt to integrate practice and research, it reports
on findings culled from discussions of research articles
and chapters, classroom practice, and videotapes of
classroom teaching, noting links between these findings
and research into student learning and instruction.
The paper illustrates the interventions discussed using
video clips from the teachers' classrooms. It also provides
a challenge Cylinder Problem with lessons for various
levels, and presents student predictions of outcomes.
Readers are encouraged to contribute their thoughts through
a public discussion.
http://mathforum.org/discuss/emt/
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WANT THIS JOB? DO YOUR MATH - Futures
National School to Work Office
http://www.futures-careers.org/wantthisjob/
Careers in environmental sciences that use math and science,
illustrated by means of short videos. Select a topic to
hear what men and women have to say about their work and
how they prepared for their careers. Then test your ability
to answer questions that arise in these careers:
- architect
- astronaut/physician
- inventor
- marine biologist
- musician
- recycling planner/marketing specialist
- rover pilot
- skate board designer
- solar engineer
- veterinarian
- wildlife biologist
You will need RealPlayer to view the videos; a link to
download it is provided. Answers to the math questions are
also available.
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THE ERDOS NUMBER PROJECT - Jerry Grossman
http://www.oakland.edu/~grossman/erdoshp.html
Paul Erdös wrote hundreds of mathematical research papers on
a variety of topics, many in collaboration with others. His
Erdös number is 0. Erdös' co-authors have Erdös number 1.
People other than Erdös who have written a joint paper with
someone having Erdös number 1 but not with Erdös himself have
Erdös number 2, and so on.
The Erdös Number Project is for those interested in the issue
of collaboration in mathematical research. It contains primary
data about some co-authoring relationships, providing fun as
well as a vehicle for more serious studies of the dynamics
involved, and a "real-life" acquaintanceship graph for
combinatorialists to study. The site also offers text files
of Erdös0, Erdös1, Erdös2, and ErdösA, an alphabetical list
of all people with Erdös number less than or equal to 2;
general information about Erdös' life; and references and
links to research papers about mathematical collaboration.
Also available are such related diversions as the Oracle of
Bacon (also known as "Six Degrees of Separation" or "Six
Degrees of Kevin Bacon"); and trivia involving baseball home
run hitter Hank Aaron and movies such as Good Will Hunting.
The Erdös Number Project is maintained by Jerry Grossman at
Oakland University in Rochester, MI, with the collaboration
of Patrick Ion at Mathematical Reviews, Ann Arbor, MI, and
Rodrigo De Castro at the Universidad Nacional de Colombia,
Bogota.
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For more about Paul Erdös, see Ivars Peterson's articles at
MAA Online:
Groups, Graphs, and Paul Erdös
http://www.maa.org/mathland/mathland_6_10.html
Paul Erdös: An Infinity of Problems
http://www.maa.org/mathland/mathland_10_7.html
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