CHI TIẾT NGHIÊN CỨU …

Tiêu đề

Growth and symmetry a mathematics course for liberal arts students

Tác giả

Gura K.

Năm xuất bản

1996

Source title

PRIMUS

Số trích dẫn

DOI

10.1080/10511979608965836

Liên kết

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85010567577&doi=10.1080%2f10511979608965836&partnerID=40&md5=ab6a07be8c107525bf6708870b4c45d1

Tóm tắt

The study of growth patterns combined with an analysis of the symmetry of patterns presents an interesting window into the beauty and depth of mathematics for students at any level. For liberal arts students who have limited training in mathematics and for whom mathematics is simply a requirement for graduation, the investigation of geometric designs and number patterns captures their interest in ways they did not know that mathematics could. Liberal arts mathematics courses need to engage such students and to provide insight into the connections within mathematics, and between mathematics and other disciplines. This article describes a course developed around the themes of growth and symmetry that was developed to provide an attractive alternative for liberal arts students to fulfill the mathematics requirement. © 1996 Taylor & Francis Group, LLC.

Từ khóa

Complex numbers; Fibonacci numbers; Fractal; Gnomon; Group; Growth; Iteration; Liberal arts mathematics; Strip patterns; Symmetry; Tiling; Undergraduate education

Tài liệu tham khảo

The Arts Series Slide Set., (1993); Barber F., Benton E., Et al., Tiling the Plane, FAIM Module - Geometry, (1989); Barnsley M.F., Devaney R.L., Mandelbrot B., Et al., The Science of Fractal Images, (1988); Briggs J., Fractals: The Patterns of Chaos, New York: Simon & Schuster, (1992); Mtv:Geometry.(Video), (1989); Crowe D., Symmetry Rigid Motions and Patterns, (1986); Desoe C., Poster: Symmetry in Wheels, (1994); Devaney R.L., Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics, (1990); Field M., Golubitsky M., Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature, (1992); Gallian J., Symmetry in Logos and Hubcaps. American Mathematical Monthly, March, pp. 235-238, (1990); Gardner M., The multiple fascinations of the Fibonacci sequence, Scientific American, 220, pp. 116-120, (1969); Garfunkel S., Steen L.A., For All Practical Purposes: Introduction to Contemporary Mathematics, (1991); Gura K., Liberal Arts Mathematics: Probability and Calculus, PRIMUS, 1, 1, pp. 155-163, (1992); Gura K., Lindley R., Fractals ztnd college algebra, The AMATYC Revi Ew, 15, 1, pp. 51-56, (1993); Huntley H.E., The Divine Proportion: A Study in Mathematical Beauty, (1970); Key Curriculum Press, The Platonic Solids Manipulative Kit, (1993); Maor E., To Infinity and Beyond: A Cultural History of the Infinite, (1987); Markinsky G., Misconceptions about the golden ratio, The College Mathematics Journal, 23, 1, pp. 2-19, (1992); Ostler E., Grandgenett N., Fibonacci strikes again!, Quantum., 3, 6, (1992); Peitgen H.O., Jurgens H., Saupe D., Zahlten C., Fractals: An Animated Discussion, (1990); Peitgen H., Jurgens H., Saupe D., Fractals for the Classroom: Part one, Introduction to Fractals and Chaos, (1992); Peitgen H.O., Richter P.H., The Beauty of Fractals: Images of Complex Dynamical Systems, (1986); Peterson I., The Mathematical Tourist, (1988); Rucker R., Mind Tools: The Five Levels of Mathematical Reality, pp. 103-119, (1988); Schattschneider D., Groups and Symmetry, National Science Foundation Workshop, (1993); Schattschneider D., Visions of Symmetry: Notebooks, Periodic Drawings, and Related Work of M. C. Escher, (1990); Sosinsky A., Marching Orders. Quantum., 2, pp. 7-11, (1991); Tannenbaum P., Arnold R., Excursions in Modem Mathematics, (1992); Vojack R., Poster: Symmetry in Fractals, (1994)