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Autor/inn/enWeber, Keith; Mejia-Ramos, Juan Pablo
TitelMathematics Majors' Beliefs about Proof Reading
QuelleIn: International Journal of Mathematical Education in Science and Technology, 45 (2014) 1, S.89-103 (15 Seiten)Infoseite zur Zeitschrift
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Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0020-739X
DOI10.1080/0020739X.2013.790514
SchlagwörterMajors (Students); Mathematics Instruction; College Mathematics; Undergraduate Students; Mathematical Logic; Validity; Observation; Professional Personnel; Student Attitudes; Comprehension; Student Responsibility; Hypothesis Testing; Student Surveys; Online Surveys; Qualitative Research
AbstractWe 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. (As Provided).
AnmerkungenTaylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2017/4/10
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