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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/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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. \|/ 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 -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Mathematics Library http://mathforum.org/library/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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