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Download full textWalkington, Candace; Chelule, Geoffrey; Woods, Dawn; Nathan, Mitchell J. – Grantee Submission, 2018
Gestures have been shown to play a key role in mathematical reasoning and be an indicator that mathematical reasoning is "embodied" -- inexorably linked to action, perception, and the physical body. Theories of extended cognition accentuate looking beyond the body and mind of an individual, thus here we examine how gestural embodied…
Descriptors: Nonverbal Communication, Mathematical Logic, Cognitive Processes, Geometry
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
Nathan, Mitchell J.; Schenck, Kelsey E.; Vinsonhaler, Rebecca; Michaelis, Joseph E.; Swart, Michael I.; Walkington, Candace – Grantee Submission, 2020
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
Walkington, Candace; Wang, Min; Nathan, Mitchell J. – Grantee Submission, 2019
Collaborative gestures in the mathematics classroom occur when multiple learners coordinate their bodies in concert to accomplish mathematical goals. Collaborative gestures show how cognition becomes distributed across a system of dynamic agents, allowing for members of groups of students to act and gesture as one. We explore ways high school…
Descriptors: Nonverbal Communication, High School Students, Video Games, Grade 9
Nathan, 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
Walkington, Candace; Nathan, Mitchell J.; Woods, Dawn M. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
Research in mathematics education has established that gestures--spontaneous movements of the hand that accompany speech--are important for learning. In the present study, we examine how students use gestures to communicate with each other while proving geometric conjectures, arguing that this communication represents an example of extended…
Descriptors: Mathematics Instruction, Nonverbal Communication, Teaching Methods, Geometry
