ERIC Number: ED601519
Record Type: Non-Journal
Publication Date: 2019
Pages: 309
Abstractor: As Provided
ISBN: 978-1-0883-2602-2
ISSN: EISSN-
EISSN: N/A
Available Date: N/A
Preservice Teachers Making Sense of Fraction Concepts and Operations in a Mathematics Education Content Course
Desta, Deksiyos Demissie
ProQuest LLC, Ph.D. Dissertation, Illinois State University
Twenty-five first-year preservice teachers attending a university in the Midwest of the United States of America participated in a whole-class-setting study aimed at investigating their knowledge of how they made sense of fraction concepts and operations, and how the development of this knowledge was facilitated during a mathematics education content course. Classroom mathematical practices of the content course that became "taken-as-shared" overtime were documented using the three-phase data analysis framework of Stephan and Rasmussen (2002, 2008). In the first phase of the analysis, whole-class discussion of fraction concepts and operations were transcribed and noted each time preservice teachers drew conclusions. Toulmin's (2003) model (data, warrant, claim, and backing) was also used to code or draw up a claim or an argumentation scheme for each conclusion reached in each class period. The claims were identified from both video recordings and transcripts. An argumentation scheme was constructed for each claim so that each of the constituents of the argument can easily be identified. The data analysis generated a chronological argumentation log that documented each of the arguments which were made in whole discussions over the course of five weeks of time. The theoretical framework for this study derived from Cobb and Yackel's (1996) emergent perspective. The emergent or social constructivist perspective supports a psychological constructive viewpoint by making it possible to analyze individual students' constructive activities in social contexts (Cobb & Yackel, 1996). Two research questions were identified and answered after all the data had been collected and analyzed. The results indicate that only the sociomathematical norm of what constituted an acceptable solution was reestablished, and 16 mathematical ideas became taken-as-shared as the class developed strategies for making sense of fraction concepts and operations. Implications are discussed for the ways in which preservice teachers may be taught fraction concepts and operations. [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com.bibliotheek.ehb.be/en-US/products/dissertations/individuals.shtml.]
Descriptors: Preservice Teachers, Numeracy, Fractions, Arithmetic, Mathematics Education, Knowledge Level, Persuasive Discourse, Discussion (Teaching Technique), Problem Solving, Social Influences
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Publication Type: Dissertations/Theses - Doctoral Dissertations
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
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