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Autor/inn/enBiza, Irene; González-Martín, Alejandro S.; Pinto, Alon
Titel'Scaffolding' or 'Filtering': A Review of Studies on the Diverse Roles of Calculus Courses for Students, Professionals and Teachers
QuelleIn: International Journal of Research in Undergraduate Mathematics Education, 8 (2022) 2, S.389-418 (30 Seiten)
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ZusatzinformationORCID (Biza, Irene)
Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN2198-9745
DOI10.1007/s40753-022-00180-1
SchlagwörterCalculus; Scaffolding (Teaching Technique); Mathematics; Professional Personnel; Students; Mathematics Teachers; Student Attitudes; Teacher Attitudes; Student Experience; Courses; Mathematical Concepts
AbstractCalculus courses have been attracting the attention of mathematics education researchers over the last decades. Recent publications and special issues dedicated to calculus highlight the diverse roles of calculus courses in the pathways for STEM studies within and across educational levels, as well as issues related to the academic preparation of future STEM professionals, including mathematicians, non-mathematics professionals (NMPs) and teachers. In this paper, we review recent literature, mostly since 2015, to identify and characterize explicit references to such diverse roles of calculus courses. The review highlights an intrinsic tension between two institutional roles of calculus: "scaffolding" and "filtering." We find nuanced yet substantial variation in how the dual role of calculus is experienced and managed across different groups of students and stakeholders. With regard studies on calculus for mathematics students, recent studies attend to changes in the rules underpinning calculus notions and processes, and highlight the scaffolding potential of calculus courses towards abstraction and reasoning. In contrast, studies on calculus for NMPs report that such courses often promote filtering rather than scaffolding and question transferability and relevance of those courses for NMPs. Finally, studies challenge the perception that traditional tertiary calculus courses scaffold school teaching and underline the need for empirical research that would explain the nature of this scaffolding and how it can be realized in practice. We conclude that further empirical research, in particular theory development, is needed to address the diverse roles of calculus at the intersection of institutions, disciplines and communities. (As Provided).
AnmerkungenSpringer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2024/1/01
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