Posted in meeting, tagged angle bisector, Branislav Kisacanin, Cassini Identity, direct proofs, Euclid, Fibonnacci, Mathematical Problems and Proofs, proof by contradiction, proof by induction, USAMO, USAMTS on October 10, 2010 |
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Computing a correct answer is sufficient for most grade school work, but proving that something must be true is one of the most important skills our students can learn. This ability has immediate benefits for such important tests as USAMTS or the USAMO as well as teaching the skills of reasoning and communication that can help in any profession.
We are very fortunate to once again have a lecture by Dr. Branislav Kisačanin. Here is his description of the upcoming session:
Introduction to Mathematical Proofs
In addition to a few more problems of historical significance, we will work on relatively simple problems that illustrate various proof techniques. In order to make things more interesting, we will let the students figure out which technique to use for each problem.
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This Saturday, November 8th, Simion Filip will present the way our understanding of the physical world shaped the geometric problems that we considered throughout history. Examples will be drawn mostly from elementary Euclidian geometry and the talk should be accessible to anyone who is familiar with angles and triangles.
Mr. Filip is a senior at Princeton University, studying mathematics with an interest in mathematical physics. After graduation, he plans to pursue a Ph. D. in mathematics. While in high-school, Simion Filip took part in both the International Mathematics and Informatics Olympiads, where he received silver and bronze medals respectively.
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