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Direct linkNathan, Mitchell J.; Schenck, Kelsey E.; Vinsonhaler, Rebecca; Michaelis, Joseph E.; Swart, Michael I.; Walkington, Candace – Journal of Educational Psychology, 2021
Grounded and embodied cognition (GEC) serves as a framework to investigate mathematical reasoning for proof (reasoning that is logical, operative, and general), insight (gist), and intuition (snap judgment). Geometry is the branch of mathematics concerned with generalizable properties of shape and space. Mathematics experts (N = 46) and nonexperts…
Descriptors: Mathematical Logic, Validity, Geometry, Knowledge Level
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
Download full textNathan, Mitchell J.; Walkington, Candace – Grantee Submission, 2017
We develop a theory of grounded and embodied mathematical cognition (GEMC) that draws on action-cognition transduction for advancing understanding of how the body can support mathematical reasoning. GEMC proposes that participants' actions serve as inputs capable of driving the cognition-action system toward associated cognitive states. This…
Descriptors: Mathematics Instruction, Mathematical Logic, Cognitive Processes, Logical Thinking
