Teaching and Learning Discrete Mathematics

Autor/inn/en	Sandefur, James; Lockwood, Elise; Hart, Eric; Greefrath, Gilbert
Titel	Teaching and Learning Discrete Mathematics
Quelle	In: ZDM: Mathematics Education, 54 (2022) 4, S.753-775 (23 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Sandefur, James)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1863-9690
DOI	10.1007/s11858-022-01399-7
Schlagwörter	Mathematics Instruction; Teaching Methods; Mathematics Education; Relevance (Education); Elementary School Mathematics; Secondary School Mathematics; Foreign Countries; College Mathematics; Number Concepts; Graphs; Games; Puzzles; United States; Italy; France; Chile; Germany + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematische Bildung; Relevance; Relevanz; Elementare Mathematik; Schulmathematik; Ausland; Number concept; Zahlbegriff; Grafische Darstellung; Game; Spiel; Spiele; Legespiel; USA; Italien; Frankreich; Deutschland
Abstract	In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes, topics, and mathematical practices that distinguish discrete mathematics. We then present potential benefits of focusing on discrete mathematics topics for mathematics education; in particular, we discuss the accessibility of topics in discrete mathematics, the connection to mathematical processes and affect, and the relevance of discrete mathematics in our current society. We also emphasize discrete mathematics from an international perspective, highlighting studies from the US, Italy, France, Chile, and Germany, which are across all school levels--primary, middle, and secondary school, and with some implications for post-secondary education. We particularly discuss discrete topics including number theory, combinatorics, iteration and recursion, graph theory, and discrete games and puzzles; we describe and situate these topics within literature. We also suggest the additional topics of game theory and the mathematics of fairness that we hope to see addressed in future studies. (As Provided).
Anmerkungen	Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01