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ERIC Number: EJ1103976
Record Type: Journal
Publication Date: 2016
Pages: N/A
Abstractor: As Provided
Reference Count: 29
ISBN: N/A
ISSN: ISSN-1528-5804
Students' Guided Reinvention of Definition of Limit of a Sequence with Interactive Technology
Flores, Alfinio; Park, Jungeun
Contemporary Issues in Technology and Teacher Education (CITE Journal), v16 n2 2016
In a course emphasizing interactive technology, 19 students, including 18 mathematics education majors, mostly in their first year, reinvented the definition of limit of a sequence while working in small cooperative groups. The class spent four sessions of 75 minutes each on a cyclical process of guided reinvention of the definition of limit of a sequence for a particular value, L = 5. Tentative definitions were tested systematically against a well-chosen set of examples of sequences that converged, or not, to 5. Students shared their definitions and the problems they were having with their definitions with their peers through whole class presentations and public postings on a course electronic forum. Student presenters received feedback from their peers both in person and through the forum. The approximation, error, error bound framework was used to help structure students' thinking. The use of interactive examples with epsilon bands and movable N values, in which students could zoom in to adjust the value of epsilon or zoom out to find a value of N, proved especially helpful in the process. The changes in their tentative definitions show the difficulties students had as well as the learning that occurred.
Society for Information Technology and Teacher Education. P.O. Box 719, Waynesville, NC 28786. Fax: 828-246-9557; Web site: http://www.citejournal.org/
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Identifiers - Location: Delaware
Grant or Contract Numbers: TUES1140702