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ERIC Number: EJ1456745
Record Type: Journal
Publication Date: 2025-Jan
Pages: 22
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1571-0068
EISSN: EISSN-1573-1774
What Are and What Are Not Extrema Points? Examining Definitions and Examples
Pessia Tsamir; Dina Tirosh; Regina Ovodenko
International Journal of Science and Mathematics Education, v23 n1 p121-142 2025
This paper reports on five secondary school mathematics prospective teachers' conceptions of "extreme point." The analysis of the data addressed students' definitions, examples, and evaluation of given examples, with special attention to the related domain. Written assignments and individual interviews uncover salient, erroneous concept images regarding what "is" and what "is not" an extreme point. Participants viewed extrema points as points that necessarily satisfy f' = 0 or as points that are always at a "change in monoticity" of the function. The topic "extreme points" is both an aim and a mean to address broader issues related to mathematical definitions, examples, and nonexamples. We conclude with possible next-step ideas.
Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://bibliotheek.ehb.be:2123/
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A