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Norton, Anderson; Flanagan, Kyle – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
This paper frames children's mathematics as mathematics. Specifically, it draws upon our knowledge of children's mathematics and applies it to understanding the prime number theorem. Elementary school arithmetic emphasizes two principal operations: addition and multiplication. Through their units coordination activity, children construct two…
Descriptors: Mathematics Instruction, Arithmetic, Elementary School Students, Addition
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Lockwood, Elise; Ellis, Amy B.; Dogan, Muhammed F.; Williams, Caroline C.; Knuth, Eric – North American Chapter of the International Group for the Psychology of Mathematics Education, 2012
Examples play a critical role in mathematical practice, particularly in the exploration of conjectures and in the subsequent development of proofs. Although proof has been an object of extensive study, the role that examples play in the process of exploring and proving conjectures has not received the same attention. In this paper, we present a…
Descriptors: Models, Mathematics Instruction, Mathematics, Professional Personnel
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Cooley, Laurel; Vidakovic, Draga; Martin, William O.; Loch, Sergio; Dexter, Scott; Suzuki, Jeff – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
We report on some results from a multiyear development of new techniques and materials for teaching linear algebra. Our goals were to (a) to create a professional learning community across STEM disciplines, (b) to combine expertise in content and pedagogy in designing effective instructional practice, and (c) to use learning theories to support…
Descriptors: Algebra, Mathematics Instruction, Learning Theories, Communities of Practice