ERIC Number: ED634917
Record Type: Non-Journal
Publication Date: 2019
Pages: 6
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Experiencing Equivalence with Graspable Math: Results from a Middle-School Study
Sawrey, Katharine; Chan, Jenny Yun-Chen; Ottmar, Erin; Hulse, Taylyn
Grantee Submission, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) (41st, 2019)
Understanding equivalence is fundamental to STEM disciplines, but many students struggle with the concept. We present a novel method for students to explore ideas of equivalence where students dynamically transform expressions from initial states to goal states in the web-based app Graspable Math. The structure of the goal state activities implies that any initial and goal state pair represent the same quantity (or varying quantity). We propose that for students, the physical experience of moving algebraic objects and observing how the initial state transforms into the goal state helps generalize notation mechanics. In fall of 2019, we will test this supposition in a randomized control trial of 1500 students in which student performance in pre- and post-tests will be compared to an online problem set control. [This paper was published in: "Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education," edited by S. Otten et al., University of Missouri, 2019, pp. 1738-43.]
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: Junior High Schools; Middle Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: Institute of Education Sciences (ED)
Authoring Institution: N/A
IES Funded: Yes
Grant or Contract Numbers: R305A110060; R305A180401