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ERIC Number: EJ1206628
Record Type: Journal
Publication Date: 2018
Pages: 3
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0228-0671
EISSN: N/A
Available Date: N/A
Roots in Real and Complex Numbers: A Case of Unacceptable Discrepancy
Kontorovich, Igor'
For the Learning of Mathematics, v38 n1 p17-19 2018
How do students cope with and make sense of polysemy in mathematics? Zazkis (1998) tackled these questions in the case of 'divisor' and 'quotient'. When requested to determine the quotient in the division of 12 by 5, some of her pre-service teachers operated in the domain of integers and argued for 2, while others adhered to rational numbers and suggested 2.4. Zazkis also reported that the teachers did not reach a consensus around the quotient in the assigned division and turned to her for 'the right answer' that would resolve the discrepancy. In this way, polysemy does not seem to shape their individual concept images (Tall & Vinner, 1981), which may indicate insufficient awareness of it. The author's central claim in this communication is that while mathematics is replete with discrepancies in general and polysemy in particular, school and university may not provide students with enough opportunities to become aware of it.
FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail: flm2@ualberta.ca; Web site: http://flm.educ.ualberta.ca
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Israel
Grant or Contract Numbers: N/A
Author Affiliations: N/A