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Nathan, Mitchell; Walkington, Candace; Swart, Michael – Grantee Submission, 2021
Findings synthesized across five empirical laboratory- and classroom-based studies of high school and college students engaged in geometric reasoning and proof production during single- and multi-session investigations (346 participants overall) are presented. The findings converge on several design principles for computer technologies to support…
Descriptors: Geometry, Mathematics Instruction, High School Students, Undergraduate Students
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Williams-Pierce, Caroline; Pier, Elizabeth L.; Walkington, Candace; Boncoddo, Rebecca; Clinton, Virginia; Alibali, Martha W.; Nathan, Mitchell J. – Journal for Research in Mathematics Education, 2017
In this Brief Report, we share the main findings from our line of research into embodied cognition and proof activities. First, attending to students' gestures during proving activities can reveal aspects of mathematics thinking not apparent in their speech, and analyzing gestures after proof production can contribute significantly to our…
Descriptors: Mathematical Logic, Validity, Nonverbal Communication, Cognitive Processes