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Autor/inMelhuish, Kathleen
TitelThree Conceptual Replication Studies in Group Theory
QuelleIn: Journal for Research in Mathematics Education, 49 (2018) 1, S.9-38 (30 Seiten)Infoseite zur Zeitschrift
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Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0021-8251
SchlagwörterReplication (Evaluation); Scientific Research; Mathematics Education; Program Validation; Student Surveys; Student Attitudes; Incidence; Interviews; Followup Studies; Generalizability Theory; Research Needs; Algebra; Fundamental Concepts; Fidelity; Statistical Analysis; Research Methodology; Educational Theories; Undergraduate Students
AbstractMany studies in mathematics education research occur with a nonrepresentative sample and are never replicated. To challenge this paradigm, I designed a large-scale study evaluating student conceptions in group theory that surveyed a national, representative sample of students. By replicating questions previously used to build theory around student understanding of subgroups, cyclic groups, and isomorphism with over 800 students, I establish the utility of replication studies to (a) validate previous results, (b) establish the prevalence of various student conceptions, and (c) reexamine theoretical propositions. Data analyzed include 1 round of open-ended surveys, 2 rounds of closed-form surveys, and 30 follow-up interviews. I illustrate the potential of replication studies to refine theory and theoretical propositions in 3 ways: by offering alternate interpretations of student responses, by challenging previous pedagogical implications, and by reevaluating connections between theories. (As Provided).
AnmerkungenNational Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: NCTM@nctm.org; Web site: http://www.nctm.org/publications/journal-for-research-in-mathematics-education
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2020/1/01
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