Two Undergraduate Students' Reinvention of the Multiplication Principle

Autor/inn/en	Lockwood, Elise; Purdy, Branwen
Titel	Two Undergraduate Students' Reinvention of the Multiplication Principle
Quelle	In: Journal for Research in Mathematics Education, 50 (2019) 3, S.225-267 (43 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0021-8251
Schlagwörter	Undergraduate Students; Multiplication; Mathematical Concepts; Mathematical Logic; Concept Formation; Computation; Mathematics Instruction + Suchen Sie Ihr Suchwort? Multiplikation; Mathematical logics; Mathematische Logik; Concept learning; Begriffsbildung; Mathematics lessons; Mathematikunterricht
Abstract	The multiplication principle (MP) is a fundamental aspect of combinatorial enumeration, serving as an effective tool for solving counting problems and underlying many key combinatorial formulas. In this study, we used guided reinvention to investigate 2 undergraduate students' reasoning about the MP, and we sought to answer the following research questions: How do students come to understand and make sense of the MP? Specifically, while a pair of students reinvented a statement of the MP, how did they attend to and reason about key mathematical features of the MP? The students participated in a paired 8-session teaching experiment during which they progressed from a nascent to a sophisticated statement of the MP. Two key mathematical features emerged for the students through this process, including independence and distinct composite outcomes, and we discuss ways in which these ideas informed the students' reinvention of the statement. In addition, we present potential implications and directions for future research. (As Provided).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: NCTM@nctm.org; Web site: http://www.nctm.org/publications/journal-for-research-in-mathematics-education
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01