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ERIC Number: ED599984
Record Type: Non-Journal
Publication Date: 2014
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Available Date: N/A
Activities That Mathematics Majors Use to Bridge the Gap between Informal Arguments and Proofs
Zazkis, Dov; Weber, Keith; Mejia-Ramos, Juan Pablo
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Joint Meeting of the International Group for the Psychology of Mathematics Education (PME) (38th) and the North American Chapter of the Psychology of Mathematics Education (PME-NA) (36th, Vancouver, Canada, Jul 15-20, 2014)
In this paper we examine a commonly suggested proof construction strategy from the mathematics education literature--that students first produce an informal argument and then use this as a basis for constructing a formal proof. The work of students who produce such informal arguments during proving activities was analyzed to distill three activities that contribute to students' successful translation of informal arguments into formal proofs. These are elaboration, syntactification, and rewarranting. We analyze how attempting to engage in these activities relates to success with proof construction. Additionally, we discuss how each individual activity contributes to the translation of an informal argument into a formal proof. [For the complete proceedings, see ED597799.]
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; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A