ERIC Number: EJ864273
Record Type: Journal
Publication Date: 2009
Abstractor: As Provided
Reference Count: 0
Sean vs. Cantor: Using Mathematical Knowledge in "Experience of Disturbance"
Zazkis, Rina; Mamolo, Ami
For the Learning of Mathematics, v29 n3 p53-56 2009
Mathematical knowledge used in teaching has attracted the interest of many researchers, but was mainly explored considering teaching at the elementary school level. This paper attends to mathematical knowledge used in teaching at the University level. We present a story about a student suggesting reconsideration of Cantor's diagonal method and the relationship between real and natural numbers. The teacher's response to this unexpected classroom situation and her initiatives to draw on it for further learning are analysed through the lens of "knowledge for teaching". Our contribution is in extending research on teachers' knowledge and on students' struggle with ideas related to infinity.
Descriptors: Mathematics Education, Mathematics Teachers, Classroom Environment, Pedagogical Content Knowledge, College Instruction, Teacher Student Relationship, Mathematics Instruction, Teaching Methods, College Mathematics, College Students
FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5 Canada; e-mail: firstname.lastname@example.org; Web site: http://flm.educ.ualberta.ca
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A