Research Papers – Cognitive Science

Share Cognitive Science Implications for Teaching Mathematics
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My goal on this page is to provide provide some original sources and reports of research.

VOCABULARY IN MATH

The following article by Riccominin, et. al. does and excellent job of establishing the need to teach vocabulary as part of mathematics instruction.  However, their suggested methods of performing such vocabulary instruction is completely ignorant of the present day knowledge about teaching and learning as provided by cognitive science.

Paul J. Riccomini, Gregory W. Smith, Elizabeth M. Hughes & Karen M. Fries (2015) The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary, Reading & Writing Quarterly, 31:3, 235-252, DOI: 10.1080/10573569.2015.1030995  HERE

Edwards, Barbara and Ward H. Ward (2001). The role of Mathematical Definitions in Mathematics and in Undergraduate Mathematics Courses.  HERE

Memorization versus Understanding

Mayer, R.E. (2004). Should there be a three-strikes rule against pure discovery learning? The case for guided methods on instruction. American Psychologist, 59(1), 14-19.
Internet: HERE