Distributivity, Partitioning, and the Multiplication Algorithm

Autor/inn/en	Hurst, Chris; Huntley, Ray
Titel	Distributivity, Partitioning, and the Multiplication Algorithm
Quelle	In: Journal of Research and Advances in Mathematics Education, 5 (2020) 3, S.231-246 (16 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2503-3697
Schlagwörter	Multiplication; Mathematics Instruction; Teaching Methods; Concept Formation; Mathematical Concepts; Mathematics Tests; Elementary School Students; Computation + Suchen Sie Ihr Suchwort? Multiplikation; Mathematics lessons; Mathematikunterricht; Teaching method; Lehrmethode; Unterrichtsmethode; Concept learning; Begriffsbildung
Abstract	Multiplicative thinking underpins much of the mathematics learned beyond the middle primary years. As such, it needs to be understood conceptually to highlight the connections between its many aspects. This paper focuses on one such connection; that is how the array, place value partitioning and the distributive property of multiplication are related. It is important that students understand how the property informs the written multiplication algorithm. Another component of successful use of the standard multiplication algorithm is extended number facts and the paper also explores students' ability to understand and generate them. One purpose of the study was to investigate the extent to which students used the standard multiplication algorithm and if their use of it is supported by an understanding of the underpinning components of the array, partitioning, the distributive property, and extended number facts. That is, we seek to learn if students have a conceptual understanding of the multiplication algorithm and its underpinning mathematics that would enable them to transfer their knowledge to a range of contexts, or if they have procedurally learned mathematics. In this qualitative study, data were generated from the administration of a Multiplicative Thinking Quiz with a sample of 36 primary aged students. Data were analyzed manually and reported using descriptive statistics. The main implications of the study are that the connections among the multiplicative array, place value partitioning, base ten property of place value, distributive property of multiplication, and extended number facts need to be made explicit for children in terms of how they inform the use of the written algorithm for multiplication. (As Provided).
Anmerkungen	Universitas Muhammadiyah Surakarta Department of Education. Ahmad Yani Street, Pabelan Kartasura, Surakarta, Central Java, 57162 Indonesia. Tel: +62-271-717417 ext. 2554; e-mail: jramathedu@ums.ac.id; Web site: http://journals.ums.ac.id/index.php/jramathedu
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01