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Download full textSelden, Annie – Online Submission, 2002
"There are no proofs in mathematics education." While this is true, claims are made in mathematics education research and evidence is provided for them. In this talk, I will explore the nature of such research, the kinds of claims and evidence, and what such research might have to offer teachers of mathematics, especially at the undergraduate …
Descriptors: Evidence, Mathematics Education, Mathematics Teachers, Mathematical Logic
Selden, Annie; Selden, John – Online Submission, 2003
In this paper we describe a number of types of errors and underlying misconceptions that arise in mathematical reasoning. Other types of mathematical reasoning errors, not associated with specific misconceptions, are also discussed. We hope the characterization and cataloging of common reasoning errors will be useful in studying the teaching of…
Descriptors: Educational Strategies, Research Methodology, Misconceptions, Error Patterns
