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Yopp, David A.; Ellsworth, Jacob L. – Mathematics Teaching in the Middle School, 2016
Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…
Descriptors: Generalization, Trust (Psychology), Persuasive Discourse, Mathematics Education

Rogers, P. J.; Aston, F. M. – Educational Studies, 1990
Presents four educational experiments reflecting Jerome Bruner's theories on iconic and enactive representation to emphasize the need for more research on how children learn. Advocates greater institutional cooperation among schools, teachers, and researchers to improve research implementation and reduce problems of school disruption and…
Descriptors: Cognitive Development, College Role, Concept Teaching, Educational Experiments