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Comparing and Discussing Multiple Strategies: an Instructional Approach to Promote Algebra Learning

in Implementation and Replication Studies in Mathematics Education
Autor:innen:
Haoyi Wang Department of Applied Psychology & Human Development, University of Toronto 45 Walmer Road, Toronto, ON Canada M5R 2X2

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https://orcid.org/0000-0002-1419-7110
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Qiuyu Chen Marsal Family School of Education, University of Michigan 610 East University Avenue, Ann Arbor, MI 48109 USA

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https://orcid.org/0009-0000-5657-8459
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Jon R. Star Graduate School of Education, Harvard University 13 Appian Way, Cambridge, MA 02138 USA

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https://orcid.org/0000-0002-4830-3815
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Abstract

This study replicated Durkin et al. (2021) to examine the effects of the Comparing and Discussing Multiple Strategies (CDMS) instructional approach on students’ algebra learning. To test the generalizability of prior findings across cultural and curricular contexts, we implemented an isomorphic intervention in Grade 10 classrooms in China. Within a quasi-experimental pretest–posttest design, 251 students from 12 classes and 6 teachers participated. Bayesian multilevel analyses confirmed robust positive effects on students’ potential flexibility and positive directional trends for procedural flexibility, conceptual knowledge, and procedural knowledge, while effects on spontaneous flexibility were negligible. These findings suggest that CDMS may support repertoire expansion before enabling strategic selection. Unlike in the previous sample, our teachers’ self-efficacy and outcome expectancy beliefs remained stable. Nonetheless, variations in instructional quality continued to shape the CDMS intervention effects on student algebra learning. Implications for culturally responsive replication, instructional design, and professional development for algebra teaching are discussed.

The impact sheet to this article can be accessed at https://doi.org/10.1163/26670127-bja10035 under Supplementary Materials.

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