ERIC Number: ED606716
Record Type: Non-Journal
Publication Date: 2018
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Available Date: N/A
Spontaneous Generalizations through Example-Based Reasoning in a Collaborative Setting
Pauletti, Katherine V.; Zaslavsky, Orit
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (40th, Greenville, SC, Nov 15-18, 2018)
This study explores the progression from student justification to generalization in the course of example-based reasoning. Data was collected through group interviews with high school students who were working collaboratively on a task of determining connections between perimeter and area of tile shaped patterns. The task called for making and justifying conjectures regarding patterns of specific number of tiles. Our findings show that the task elicited collaborative example-based reasoning that evoked spontaneous generalizations about patterns of any number of tiles. The findings point to the importance of collaboration in generalizing, as well as to the intuitive nature of generalizations. [For the complete proceedings, see ED606531.]
Descriptors: Cooperative Learning, Mathematics Instruction, Generalization, High School Students, Student Attitudes, Task Analysis, Thinking Skills, Measurement, Geometry
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: High Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: DRL1220623
Author Affiliations: N/A