The Challenge of Proportion: Does It Require Rethinking of the Measurement Paradigm?

Autor/inn/en	Vysotskaya, Elena; Lobanova, Anastasia; Rekhtman, Iya; Yanishevskaya, Maria
Titel	The Challenge of Proportion: Does It Require Rethinking of the Measurement Paradigm?
Quelle	In: Educational Studies in Mathematics, 106 (2021) 3, S.429-446 (18 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Lobanova, Anastasia)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1954
DOI	10.1007/s10649-020-09987-8
Schlagwörter	Elementary School Students; Grade 1; Mathematics Instruction; Mathematical Concepts; Elementary School Mathematics; Measurement; Group Activities; Teaching Methods + Suchen Sie Ihr Suchwort? School year 01; 1. Schuljahr; Schuljahr 01; Mathematics lessons; Mathematikunterricht; Elementare Mathematik; Schulmathematik; Messverfahren; Gruppenaktivität; Teaching method; Lehrmethode; Unterrichtsmethode
Abstract	We are developing an approach to teaching important proportionality-based concepts to first grade students in a way that supports students' future progress in the domain. We consider the proportionality between magnitudes as a basic relationship behind multiple cases, usually described mathematically as ratio or rate. The core of our strategy is the modelling of a situation of proportionality and its transformations by creating a compound unit. The key action is coordinated measurement (co-measurement): students work in pairs, and each student is in charge of changing one of two magnitudes, while preserving proportionality. Based on our successful experiments in Grades 2-6, we incorporate shared responsibility work organization ("joint actions") and the idea of compound unit into Davydov's mathematics curriculum for the first grade. We built a new module based on Davydov's idea about the role of rule-mediated counting by sets. In this paper, we present the results of our study, showing that first graders can learn the idea of compound unit and work with two magnitudes of different kinds while preserving proportionality. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01