CHI TIẾT NGHIÊN CỨU …

Tiêu đề

Symmetry in mathematics and art: An exploration of an art venue for mathematics learning

Tác giả

Stylianou D.A.; Grzegorczyk I.

Năm xuất bản

2005

Source title

PRIMUS

Số trích dẫn

DOI

10.1080/10511970508984104

Liên kết

https://www.scopus.com/inward/record.uri?eid=2-s2.0-78049527746&doi=10.1080%2f10511970508984104&partnerID=40&md5=9076d6070615c27ab3d6ca7f125d5e02

Tóm tắt

Symmetry is an aspect of mathematics that is strongly linked to art and design. We chose to explore this connection in the context of a liberal arts mathematics course. Here we present a brief description of this course, including an outline of the curriculum and specific features of the course. We subsequently present the results of a study we conducted to examine students’ understanding of symmetry in this context. The findings suggest that when working with repetitious geometric art designs students’ approach to symmetry often goes beyond the one-to-one correspondence between specific pieces of art and symmetry concepts, to the development of a correspondence between types of art designs and abstract types of group symmetry concepts. Further, familiarity with symmetry concepts allows students to use abstraction as a tool in their artistic creations. Finally, students reported improved attitudes towards mathematics and its relevance to their lives in general - a bonus finding for a liberal arts course. © 2005 Taylor & Francis Group, LLC.

Từ khóa

Art-based lesson; Mathematics for liberal arts students; Symmetry

Tài liệu tham khảo

Dewey J., Experience and Education, (1938); Foraeriko A., Lipkin R., Mathem-Atical Impressions, (1997); Gardner H., The Unschooled Mind, (1991); Grzegorczyk I., Mathematics and Fine Arts, (2000); Gura K., Growth and symmetry: A mathematics course for liberal arts students, PRIMUS, 4, 4, pp. 337-350, (1996); Huntley H., The Divine Proportion: A Study in Mathematical Beauty, (1970); Kappraff J., Connections: The Geometric Bridge between Art and Science, (1991); Korey J.S., The Calculus trap, PRIMUS, 12, 3, pp. 209-218, (2002); Leikin R., Berman A., Zaslavsky O., Applications of symmetry to problem solving, International Journal of Mathematics Education in Science and Technology, 31, 6, pp. 799-809, (2000); Leikin R., Berman A., Zaslavsky O., Learning through teaching: The case of symmetry, Mathematics Education Research Journal, 12, 1, pp. 17-36, (2000); Linn C., The Golden Mean: Mathematics and the Fine Arts, (1974); Loeb A., Concepts and Images: Visual mathematics, Boston: Birkhauser, (1993); Principles and Standards for School Ma.Thematics, (2000); Parker F.W., Talks on Pedagogics, (1994); Shaffer D.W., Learning mathematics through design: The anatomy of Escher’s World, Journal of Mathematical Behavior, 16, 2, (1997); Willett L., The efficacy of using the visual arts to teach math and reading concepts, Paper Presentation at the Annual Meeting of the American Educational Resi'.Arch Association, (1992)