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ERIC Number: EJ845064
Record Type: Journal
Publication Date: 2009-Jul
Pages: 33
Abstractor: As Provided
Reference Count: 46
ISBN: N/A
ISSN: ISSN-0021-8251
Seeing a Colleague Encourage a Student to Make an Assumption while Proving: What Teachers Put in Play when Casting an Episode of Instruction
Nachlieli, Talli; Herbst, Patricio
Journal for Research in Mathematics Education, v40 n4 p427-459 Jul 2009
This article reports on an investigation of how teachers of geometry perceived an episode of instruction presented to them as a case of engaging students in proving. Confirming what was hypothesized, participants found it remarkable that a teacher would allow a student to make an assumption while proving. But they perceived this episode in various ways, casting the episode as one of as many as 10 different stories. Those different castings of the episode make use of intellectual resources for professional practice that practitioners could use to negotiate the norms of a situation in which they had made a tactical but problematic move. This collection of stories attests to the effectiveness of the technique used for eliciting the rationality of mathematics teaching: By confronting practitioners with episodes of teaching in which some norms have been breached, one can learn about the rationality underlying the norms of customary teaching. ["Seeing a Colleague Encourage a Student to Make an Assumption while Proving: What Teachers Put in Play when Casting an Episode of Instruction" was written with Gloriana Gonzalez.] (Contains 14 footnotes and 3 figures.)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Secondary Education; High Schools; Secondary Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A