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24 March 1997 Vol. 2, No. 12 THE MATH FORUM INTERNET NEWS SCORE Mathematics | Nils Ahbel | Plausibility Arguments SCORE MATHEMATICS http://www.kings.k12.ca.us/math/ From The Schools of California Online Resource for Educators. The contents and links are intended to reflect the California Mathematics Framework. An archive of Internet Math Resources for grades K-4, 5-8, and 9-12 may be browsed or searched. It includes information on assessment and education organizations, and features a database of math lessons. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- NILS AHBEL - KENT SCHOOL* http://www.kent.pvt.k12.ct.us/fachmpag/ahbeln/homepage.htm Nils Ahbel teaches mathematics at Kent School in Connecticut. He and his students have generated some interesting new math materials for the secondary school level: UNI- AND BI-VARIATE DATA ANALYSIS A fall term computer project for Nils Ahbel's honors class in Functions, Trigonometry and Statistics. Students chose a topic, searched the Internet for relevant data, performed a statistical analysis, and displayed the results. - NBA draft picks by Mike Harley '98. - German traffic safety by Philipp Hasskamp '97. - Ice cream consumption by Sarah O'Neil '98. EXCEL FILES FOR THE MATH CLASSROOM Microsoft Excel files to download: annual vs. compound interest, arithmetic and geometric sequences and series, height of a falling object over time, Pascal's Triangle, polynomial differences, a simulation of rolling two dice and one about a family with three children, synthetic division, transformations, and trigonometric modeling. Images of sample output let you view the content of many modules before downloading them. GEOMETER'S SKETCHPAD FILES Downloadable v.3.0 files, with samples for viewing. Subjects include a variety of tessellations, and Versiera, better known as the Witch of Agnesi. http://mathforum.org/students/showcase/ *In 1997 Nils Ahbel moved to Deerfield Academy in Deerfield, MA. His new home page is at http://www.deerfield.edu/~ahbel/. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- PLAUSIBILITY ARGUMENTS: A MATH-TEACH DISCUSSION "What is really meant by the phrase "plausiblity argument"? We can see just how thorny this question really is by recasting it: What is a proof? - Lou Talman On March 7th Ron Ward initiated a lively discussion on the MATH-TEACH mailing list (formerly NCTM-L) about student assessment as addressed in the 1989 NCTM Evaluation Standards. http://mathforum.org/epigone/math-teach/jaltweldjax Ward's message focuses on Standard 7 - Reasoning: "What is really meant by a 'PLAUSIBILITY argument'? What is the difference between 'use reasoning to develop plausible arguments' and 'use deductive reasoning to construct valid arguments'?" Ted Alper contributes a simple false proof that constructs a triangle with two right angles, and Andre Toom offers a false proof that an arbitrary triangle is isosceles. See "Plausibility Arguments" in the Math Forum archives: http://mathforum.org/epigone/math-teach/fersusnim -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problem of the Week http://mathforum.org/geopow/ Internet Resources http://mathforum.org/~steve/ 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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