TY - GEN

T1 - AESTHETICS IN EARLY GEOMETRY

AU - Spiegel, Hadar

AU - Ginat, David

N1 - Publisher Copyright:
© 2021, Psychology of Mathematics Education (PME). All rights reserved.

PY - 2021

Y1 - 2021

N2 - Aesthetic mathematical solutions involve clarity, simplicity, conciseness, an element of surprise, and more. Although the elaboration of aesthetics may develop mathematical thinking, the amount of studies of aesthetics in ordinary teaching is limited. Perhaps this is due to a conception that aesthetics is only for experts and the gifted. This paper presents a different view. The paper displays 7th graders’ solutions of geometrical area calculations and students’ comments on their solutions. The solutions involve auxiliary constructions and structure decompositions. Both cumbersome and aesthetic solutions are displayed. Some of the cumbersome solutions were erroneous. Aesthetic solutions were simple, very concise, and somewhat surprising. Students who offered different solutions expressed appreciation of the appealing characteristics of aesthetics.

AB - Aesthetic mathematical solutions involve clarity, simplicity, conciseness, an element of surprise, and more. Although the elaboration of aesthetics may develop mathematical thinking, the amount of studies of aesthetics in ordinary teaching is limited. Perhaps this is due to a conception that aesthetics is only for experts and the gifted. This paper presents a different view. The paper displays 7th graders’ solutions of geometrical area calculations and students’ comments on their solutions. The solutions involve auxiliary constructions and structure decompositions. Both cumbersome and aesthetic solutions are displayed. Some of the cumbersome solutions were erroneous. Aesthetic solutions were simple, very concise, and somewhat surprising. Students who offered different solutions expressed appreciation of the appealing characteristics of aesthetics.

UR - http://www.scopus.com/inward/record.url?scp=85180628518&partnerID=8YFLogxK

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AN - SCOPUS:85180628518

SN - 9786169383031

T3 - Proceedings of the International Group for the Psychology of Mathematics Education

SP - 97

EP - 104

BT - Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, 2021

A2 - Inprasitha, Maitree

A2 - Changsri, Narumon

A2 - Boonsena, Nisakorn

PB - Psychology of Mathematics Education (PME)

T2 - 44th Conference of the International Group for the Psychology of Mathematics Education, PME 2021

Y2 - 19 July 2021 through 22 July 2021

ER -