ERIC Number: EJ1295514
Record Type: Journal
Publication Date: 2021-Mar
Pages: 18
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1954
EISSN: N/A
The Challenge of Proportion: Does It Require Rethinking of the Measurement Paradigm?
Vysotskaya, Elena; Lobanova, Anastasia; Rekhtman, Iya; Yanishevskaya, Maria
Educational Studies in Mathematics, v106 n3 p429-446 Mar 2021
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.
Descriptors: Elementary School Students, Grade 1, Mathematics Instruction, Mathematical Concepts, Elementary School Mathematics, Measurement, Group Activities, Teaching Methods
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Early Childhood Education; Grade 1; Primary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A