Using Models and Representations: Exploring the Chip Model for Integer Subtraction

Autor/in	Murray, Eileen
Titel	Using Models and Representations: Exploring the Chip Model for Integer Subtraction
Quelle	(2018), (25 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Mathematical Models; Numbers; Mathematics Instruction; Problem Solving; Mathematics Skills; Arithmetic; Algebra; Teaching Methods; Mathematics Teachers + Suchen Sie Ihr Suchwort? Mathematical model; Mathematisches Modell; Zahlenraum; Mathematics lessons; Mathematikunterricht; Problemlösen; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende
Abstract	Mathematics educators advocate for the use of models as an instructional practice that can potentially aid in building students' understanding of difficult topics. Integers and integer operations are historically problematic for students and are critically important in both arithmetic and the future study of algebra. In this chapter, I explore one particular model for working with integers, a discrete model using colored chips. By doing so, I illustrate a tension that arises when deciding how to present a model during instruction and examine key questions about the use of models in mathematics teaching. How should mathematics teachers build connections between students' informal understandings of mathematical content and formal mathematics? In what ways can teachers encourage students to use a model in ways that make sense while challenging the utility of the model for related problems? [For the complete volume, "Exploring the Integer Addition and Subtraction Landscape: Perspectives on Integer Thinking. Research in Mathematics Education," see ED612853.] (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01