Multiple-Solution Problems in a Statistics Classroom: An Example

Autor/inn/en	Chu, Chi Wing; Chan, Kevin L. T.; Chan, Wai-Sum; Kwong, Koon-Shing
Titel	Multiple-Solution Problems in a Statistics Classroom: An Example
Quelle	In: International Journal of Mathematical Education in Science and Technology, 48 (2017) 8, S.1249-1261 (13 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2017.1338770
Schlagwörter	Mathematics Instruction; Statistics; Probability; Games; Problem Solving; Numbers; Equations (Mathematics); Undergraduate Students + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Statistik; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Game; Spiel; Spiele; Problemlösen; Zahlenraum; Equations; Mathematics; Gleichungslehre
Abstract	The mathematics education literature shows that encouraging students to develop multiple solutions for given problems has a positive effect on students' understanding and creativity. In this paper, we present an example of multiple-solution problems in statistics involving a set of non-traditional dice. In particular, we consider the exact probability mass distribution for the sum of face values. Four different ways of solving the problem are discussed. The solutions span various basic concepts in different mathematical disciplines (sample space in probability theory, the probability generating function in statistics, integer partition in basic combinatorics and individual risk model in actuarial science) and thus promotes upper undergraduate students' awareness of knowledge connections between their courses. All solutions of the example are implemented using the R statistical software package. (As Provided).
Anmerkungen	Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01