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Tiêu đề
Moving Beyond Solving for “x”: Teaching Abstract Algebra in a Liberal Arts Mathematics Course
Tác giả
Cook J.P.
Năm xuất bản
2015
Source title
PRIMUS
Số trích dẫn
2
DOI
10.1080/10511970.2014.971475
Liên kết
Tóm tắt
Abstract: This paper details an inquiry-based approach for teaching the basic notions of rings and fields to liberal arts mathematics students. The task sequence seeks to encourage students to identify and comprehend core concepts of introductory abstract algebra by thinking like mathematicians; that is, by investigating an open-ended mathematical context, identifying patterns, and venturing conjectures. A sequence of open-ended instructional tasks that aim to capitalize on students’ prior experiences with equation solving is provided along with notes and sample student responses for prospective instructors. © , Copyright © Taylor & Francis Group, LLC.
Từ khóa
abstract algebra; Guided reinvention; liberal arts mathematics
Tài liệu tham khảo
Cook J.P., A guided reinvention of ring, integral domain, and field. Doctoral Dissertation, (2012); Cook J.P., The emergence of algebraic structure: Students come to understand units and zero-divisors, International Journal of Mathematical Education in Science and Technology, 45, 3, pp. 349-359, (2014); Dubinsky E., Dautermann J., Leron U., Zazkis R., On learning fundamental concepts of group theory, Educational Studies in Mathematics, 27, 3, pp. 267-305, (1994); Gravemeijer K., Developmental research as a research method, Mathematics Education as a Research Domain: A Search for Identity, pp. 277-296, (1998); Larsen S., Supporting the guided reinvention of the concepts of group and isomorphism: A developmental research project, (2004); Selden A., Selden J., Errors and misconceptions in college level theorem proving, In: Proceedings of the Second International Seminar on Misconceptions in Science and Mathematics, III, pp. 457-470, (1987)
Nơi xuất bản
Bellwether Publishing, Ltd.
Hình thức xuất bản
Article
Open Access
Nguồn
Scopus