ERIC Number: EJ1012255
Record Type: Journal
Publication Date: 2013
Abstractor: As Provided
Reference Count: 25
Simple yet Hidden Counterexamples in Undergraduate Real Analysis
Shipman, Barbara A.; Shipman, Patrick D.
PRIMUS, v23 n2 p111-120 2013
We study situations in introductory analysis in which students affirmed false statements as true, despite simple counterexamples that they easily recognized afterwards. The study draws attention to how simple counterexamples can become hidden in plain sight, even in an active learning atmosphere where students proposed simple (as well as more complex) counterexamples daily in class. We provide perspective on these observations in the context of an informative body of related work in undergraduate mathematics studies.
Descriptors: College Mathematics, Undergraduate Study, Mathematics Instruction, Misconceptions, Mathematical Logic, Validity, Experiments, Mathematical Concepts, Error Patterns, Calculus
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A