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Stephens, Ana; Strachota, Susanne; Knuth, Eric; Blanton, Maria; Isler, Isil; Gardiner, Angela – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
This research explores the interplay between students' understandings of proportional and functional relationships. Approximately 90 students participated in an early algebra intervention in Grades 3- 5. Before the intervention and after each year of the intervention, we evaluated their understandings of proportional and functional relationships.…
Descriptors: Algebra, Early Intervention, Grade 3, Grade 4
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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