NotesFAQContact Us
Collection
Advanced
Search Tips
Back to results
Peer reviewed Peer reviewed
PDF on ERIC Download full text
ERIC Number: ED583765
Record Type: Non-Journal
Publication Date: 2016-Nov
Pages: 9
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
The Role of Diagrammatic Reasoning in the Proving Process
Sáenz-Ludlow, Adalira; Athanasopoulou, Anna
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 (38th, Tucson, AZ, Nov 3-6, 2016)
The paper focuses on student-teachers' geometric diagrams to mediate the emergence of different proofs for a geometric proposition. For Peirce, a diagram is an icon that explicitly and implicitly represents the deep structural relations among the parts of the object that it stands for. Geometric diagrams can be seen as epistemological tools to understand explicit and hidden geometric relations. The systematic observation of and experimentation with geometric diagrams triggers abductive, inductive, and deductive reasoning which allows for the understanding of the conditions given for a geometric construction and its necessary logical consequences. We adopt Stjernfelt's model of diagrammatic reasoning to analyze two proofs for a geometric task posed to student-teachers who participated in a four-month classroom teaching experiment. [For the complete proceedings, see ED583608.]
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: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A