ERIC Number: EJ1028325
Record Type: Journal
Publication Date: 2014
Pages: 15
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Mathematics Majors' Beliefs about Proof Reading
Weber, Keith; Mejia-Ramos, Juan Pablo
International Journal of Mathematical Education in Science and Technology, v45 n1 p89-103 2014
We argue that mathematics majors learn little from the proofs they read in their advanced mathematics courses because these students and their teachers have different perceptions about students' responsibilities when reading a mathematical proof. We used observations from a qualitative study where 28 undergraduates were observed evaluating mathematical arguments to hypothesize that mathematics majors hold four specific unproductive beliefs about proof reading. We then conducted a survey about these beliefs with 175 mathematics majors and 83 mathematicians. We found that mathematics majors were more likely to believe that when reading a good proof, they are not expected to construct justifications and diagrams, they can understand most proofs they read within 15 minutes, and understanding a proof is tantamount to being able to justify each step in the proof.
Descriptors: Majors (Students), Mathematics Instruction, College Mathematics, Undergraduate Students, Mathematical Logic, Validity, Observation, Professional Personnel, Mathematics, Student Attitudes, Comprehension, Student Responsibility, Hypothesis Testing, Student Surveys, Online Surveys, Qualitative Research
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Publication Type: Journal Articles; 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