Literaturnachweis - Detailanzeige
| Autor/inn/en | Flores, Alfinio; Cauto, Kevin M. |
|---|---|
| Titel | Empirical Approaches to the Birthday Problem |
| Quelle | In: Mathematics Teacher, 106 (2012) 2, S.132-137 (6 Seiten)
PDF als Volltext |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0025-5769 |
| Schlagwörter | Probability; Secondary School Students; Secondary School Mathematics; Mathematics Instruction; Computation; Mathematics Activities; Mathematical Enrichment; Mathematical Applications; Teaching Methods; Educational Experiments; Repetition; Problem Solving |
| Abstract | This article will describe two activities in which students conduct experiments with random numbers so they can see that having at least one repeated birthday in a group of 40 is not unusual. The first empirical approach was conducted by author Cauto in a secondary school methods course. The second empirical approach was used by author Flores with in-service teachers. In both, the participants pretended to be secondary school students. In a third activity, students use a calculator program to determine the theoretical probability. A common misconception about random samples is that outcomes are "spread out" more or less evenly among possible results. However, students need to develop an understanding that sometimes results within a given random sample are clustered or repeated. Students must also understand that the distribution within a particular sample is not always uniformly or symmetrically distributed among the possible results. Performing simulations like the ones described here can help students develop such understanding. (Contains 2 tables and 4 figures.) (ERIC). |
| Anmerkungen | National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/ |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2017/4/10 |
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