An Examination of Connections in Mathematical Processes in Students' Problem Solving: Connections between Representing and Justifying

Autor/in	Stylianou, Despina A.
Titel	An Examination of Connections in Mathematical Processes in Students' Problem Solving: Connections between Representing and Justifying
Quelle	In: Journal of Education and Learning, 2 (2013) 2, S.23-35 (13 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1927-5250
Schlagwörter	Mathematics Instruction; Problem Solving; Mathematical Concepts; Early Adolescents; Generalization; Mathematical Logic; Validity; Middle School Students; Urban Schools; At Risk Students; Grade 6 + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Problemlösen; Mathematical logics; Mathematische Logik; Gültigkeit; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; Urban area; Urban areas; School; Schools; Stadtregion; Stadt; Schule; School year 06; 6. Schuljahr; Schuljahr 06
Abstract	Representation and justification are two central "mathematical practices". In the past, each has been examined to gain insights in the functions that they have in students' mathematical problem solving. Here, we examine the ways that representation and justification interact and influence the development of one another. We focus on the problem solving activity of 12-14 year-old students. Overall, this work highlights that the two practices are tightly connected. Students' representations impact the way they form generalizations and subsequently justify their work. The work also provides insights in the development of representation and justification within the problem solving process. This work also provides insights where students' representational practices may hinder the development of advanced justifications, and provides directions for pedagogy and further research. (As Provided).
Anmerkungen	Canadian Center of Science and Education. 1120 Finch Avenue West Suite 701-309, Toronto, OH M3J 3H7, Canada. Tel: 416-642-2606; Fax: 416-642-2608; e-mail: jel@ccsenet.org; Web site: http://www.ccsenet.org/journal/index.php/jel
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01