An Investigation into Post-Secondary Students' Understanding of Combinatorial Questions

Autor/in	Bulone, Vincent William
Titel	An Investigation into Post-Secondary Students' Understanding of Combinatorial Questions
Quelle	(2017), (99 Seiten) PDF als Volltext Verfügbarkeit Ed.D. Dissertation, Teachers College, Columbia University
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
ISBN	978-0-3550-6845-0
Schlagwörter	Hochschulschrift; Dissertation; College Students; Computation; Comprehension; Mathematical Applications; Interviews; Mathematics Education + Suchen Sie Ihr Suchwort? Thesis; Dissertations; Academic thesis; Collegestudent; Verstehen; Verständnis; Angewandte Mathematik; Innermathematische Anwendung; Interviewing; Interviewtechnik; Mathematische Bildung
Abstract	The purpose of this dissertation was to study aspects of how post-secondary students understand combinatorial problems. Within this dissertation, I considered understanding through two different lenses: i) student connections to previous problems; and ii) common combinatorial distinctions such as ordered versus unordered and repetitive versus non-repetitive. Students were given 12 combinatorial problems and were asked to respond to three rounds of interview questions pertaining to the areas of interest about each problem. Students were not asked to answer each of the 12 problems, but rather were asked to describe how they understood the problems through clinical interviews. The findings indicate that students, in general, do not use connections to previous problems as a means to understanding such questions. Furthermore, students, in general, can distinguish between ordered versus unordered and repetitive and non-repetitive, however, they struggle when questions of the same type (i.e. sequences) are altered in ways that may cause some ambiguity about the problem. The findings also highlight the importance of sets of outcomes and how they play a role with regard to students' struggles with combinatorics questions. In general, I provide a summary on the research that has been conducted within the field of combinatorics education and provide implications to future educators as well as future directions for combinatorics education research. [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/en-US/products/dissertations/individuals.shtml.] (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01