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9 October 2000 Vol. 5, No. 41 THE MATH FORUM INTERNET NEWS Colorful Mathematics - Laflamme | Matroids Using Manipulatives - T2T FAQ COLORFUL MATHEMATICS - Claude Laflamme http://www.math.ucalgary.ca/~laf/colorful/colorful.html Five games to present advanced mathematical concepts to K-12 students. This educational software series uses simple coloring and/or drawing techniques to illustrate mathematical concepts from graph theory. Downloadable software and a 'teacher's corner' are provided. Games (available for IBM compatibles only) include: - The Four Color Map Problem - The Chromatic Number of a Graph - The Edge Chromatic Number of a Graph - The Two-Player Chromatic Game - The Dominating Number of a Graph Versions of the site are available in English and French. Funding for the project was made possible through Industry Canada's SchoolNet initiative and through the cooperation of the Canadian Mathematical Society. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- MATROIDS MATROID THEORY - Sandra Kingan http://members.aol.com/matroids/ Matroids are an abstraction of several combinatorial objects, among them graphs and matrices. Matroid theory provides a framework in which problems in combinatorial optimization, operations research, and graph theory become simpler to understand. The word matroid was coined by Whitney in 1935 in his landmark paper "On the abstract properties of linear dependence." In defining a matroid, Whitney tried to capture the fundamental properties of dependence that are common to graphs and matrices. Sandra Kingan's site includes links to books and software, a bibliography of matroid papers, and home pages of people in matroid theory. \|/ SOME PROBLEMS IN MATROID THEORY - Thomas Zaslavsky http://www.math.binghamton.edu/zaslav/Matroids/matroidprobs.html Sources of problems compiled by Zaslavsky, and problems he's found interesting: Bonin's Projective Bound; Maximum r-Flat; Covering and Packing by Flats. For general sources of information on matroid theory, see Matroid Miscellany: http://www.math.binghamton.edu/zaslav/Matroids/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- USING MANIPULATIVES - T2T FAQ Math Forum, Teacher2Teacher Service http://mathforum.org/t2t/faq/faq.manipulatives.taco From the Math Forum's Teacher2Teacher service, answers to a frequently asked question: What is the role of manipulatives in the classroom? Suggestions include ideas to try, archived T2T conversations on the subject, answers from the archives of Ask Dr. Math, and links to relevant Web sites. The Math Forum's Internet Mathematics Library provides a page of links to math education sites that discuss the use of manipulatives in the classroom: http://mathforum.org/library/ed_topics/methods_manip/ There are also many pages of annotated math sites to browse and search for manipulatives: http://mathforum.org/library/resource_types/manipulatives/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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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