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Nathan, 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
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Abidin, Zainal – Journal of Research and Advances in Mathematics Education, 2018
This study aims to know the characteristics of mathematical communication of pre-service primary school teachers. The material used as the object of research is geometry. It requires the ability of algebra and spatial skills. The area of trapezoid is selected as the topic since it is perceived as the most complex of all plane shapes studied in…
Descriptors: Preservice Teachers, College Freshmen, Elementary Education, Mathematics Education
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Elia, Iliada; Gagatsis, Athanasios; van den Heuvel-Panhuizen, Marja – Mathematics Education Research Journal, 2014
In recent educational research, it is well acknowledged that gestures are an important source of developing abstract thinking in early childhood and can serve as an additional window to the mind of the developing child. The present paper reports on a case study which explores the function of gestures in a geometrical activity at kindergarten…
Descriptors: Nonverbal Communication, Case Studies, Kindergarten, Geometric Concepts