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ERIC Number: EJ1080882
Record Type: Journal
Publication Date: 2015
Pages: 17
Abstractor: As Provided
Reference Count: 36
ISSN: ISSN-0020-739X
Explanation, Motivation and Question Posing Routines in University Mathematics Teachers' Pedagogical Discourse: A Commognitive Analysis
Viirman, Olov
International Journal of Mathematical Education in Science and Technology, v46 n8 p1165-1181 2015
This paper investigates the teaching practices used by university mathematics teachers when lecturing, a topic within university mathematics education research which is gaining an increasing interest. In the study, a view of mathematics teaching as a discursive practice is taken, and Sfard's commognitive framework is used to investigate the teaching practices of seven Swedish university mathematics teachers on the topic of functions. The present paper looks at the discourse of mathematics teaching, presenting a categorization of the didactical routines into three categories-- "explanation," "motivation" and "question posing" routines. All of these are present in the discourses of all seven teachers, but within these general categories, a number of different sub-categories of routines are found, used in different ways and to different extent by the various teachers. The explanation routines include "known mathematical facts," "summary and repetition," "different representations," "everyday language," and "concretization and metaphor"; the motivation routines include reference to "utility," "the nature of mathematics," "humour" and "result focus"; and the question posing routines include "control questions," asking for "facts," "enquiries" and "rhetorical questions." This categorization of question posing routines, for instance, complements those already found in the literature. In addition to providing a valuable insight into the teaching of functions at the university level, the categorizations presented in the study can also be useful for investigating the teaching of other mathematical topics.
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Sweden