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26 October 1998 Vol. 3, No. 43 THE MATH FORUM INTERNET NEWS Macalester College POW | AMOF - Object Factory | Prime Glossary MACALESTER COLLEGE PROBLEM OF THE WEEK http://mathforum.org/wagon/ Stan Wagon, Professor of Mathematics and Computer Science at Macalester College in St. Paul, Minnesota, poses a math problem to his students each week. Since the problems are meant to be accessible to first-year college students, very little background is needed to understand or solve them. The problems are sent out by electronic mail and are added to a searchable archive; solutions are posted one week after e-mail distribution and are accessible for the rest of the semester. An archive of older problems is also maintained at Macalester. Fall 1998 problems include: - Random Tic-tac-toe - Passing Pebbles - Three Circles in the Temple - Draw a Perpendicular - Spear the Points - Isosceles Pairs - The Doughnut Baker's Problem Previous archives housed by the Math Forum include more than 80 problems, from fall 1995 through spring 1998. Instructions for subscribing to the mailing list are on the Web at: http://mathforum.org/wagon/about.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- AMOF: AMAZING MATHEMATICAL OBJECT FACTORY http://www.schoolnet.ca/vp/ECOS/ What is a combinatorial object? The main feature of such objects is that there is only a finite number of any particular type - a finite number of ways for persons to order themselves in line at a theatre, or to make change for a dollar. On the other hand, temperature does not have a finite number of values (it could be 25.3315411 degrees), nor does the position of a ball on a pool table, so these are not combinatorial objects. AMOF is part encyclopedia and part calculator, a teaching tool that generates mathematical permutations for some combinatorial object types: - subsets - combinations - permutations - 8-queens problem - pentominoes - permutations of a multiset - partitions - Fibonacci sequences - magic squares AMOF also offers a number of links to sites relevant to K-12 discrete mathematics education, and to the Combinatorial Object Server (COS), a site for university students and researchers that can help you find many additional types of combinatorial objects. http://sue.csc.uvic.ca/~cos/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- THE PRIME GLOSSARY - Chris Caldwell http://www.utm.edu/research/primes/glossary/ An Internet guide to the terminology of prime numbers, including some links to other pages with fuller definitions and information. The glossary is written on two levels: - for schoolteachers and students, using as little jargon as possible to define the basic words of elementary prime number theory and provide unusual or curious terms that could be the subject of research papers; - for those familiar with the basic terminology, listing some of the useful but perhaps less well-known words and ideas. The Prime Glossary is a part of the Prime Pages site, an index of information on prime numbers. http://www.utm.edu/research/primes/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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/ Internet Resources http://mathforum.org/~steve/ 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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