From Folding and Cutting to Geometry and Algorithms: Integrating Islamic Art into the Mathematics Curriculum
Inhaltsverzeichnis
Reference
Carol Bier: From Folding and Cutting to Geometry and Algorithms: Integrating Islamic Art into the Mathematics Curriculum. In: Bridges 2007. Pages 453–458
DOI
Abstract
Drawing upon visual forms of expression prevalent in Islamic arts and architecture, this workshop offers hands- on experience for understanding basic concepts in geometry, with reference to algorithms in processes of pattern- making. Art teachers and math educators may learn a variety of strategies for classroom teaching, adaptable for K-12, to acquaint students with principles underlying patterns in Islamic art. Such patterns relate to the history of mathematics at a time when Baghdad was an intellectually vibrant center of patronage, and al-Khwarezmi was engaged in the development of what we now call algebra and algorithms. Students may explore these ideas through their own experimentation, and relate their experiences to means of transmission of newly emergent mathematical ideas in the 9th and 10th centuries of our era.
Extended Abstract
Bibtex
Used References
[1] Bier, C. 2007. Patterns in Time and Space: Technologies of Transfer and the Cultural Transmission of Mathematical Knowledge across the Indian Ocean, Ars Orientalis, v. 34, pp. 174-96.
[2] Bier, C. 2006. Number, Shape and the Nature of Space: An Inquiry into the Meaning of Geometry in Islamic Art, How to Talk about Religion, ed. J. B. White, pp. 246-77. Erasmus Institute Publications, University of Notre Dame Press, South Bend, IN.
[3] Bier, C.2006. Islamic Art: An Exploration of Pattern, Bridges: Mathematical Connections in Art, Music, and Science, ed. R. Sarhangi and J. Sharp, pp. 525 – 32. Tarquin Publications, London.
[4] Bier, C. 2004. Islamic Art at Doris Duke’s Shangri La: Playing with Form and Pattern (with D. Masunaga), Bridges: Mathematical Connections in Art, Music, and Science, ed. R. Sarhangi and C. Sequin, pp. 251-58. Winfield, KS.
[5] Blair, S. and J. Bloom 1994. Art and Architecture of Islam, 1250-1800. Yale University Press, New Haven.
[6] Bourgoin, J. 1973. Arabic Geometrical Pattern and Design. Dover, New York.
[7] Castéra, J.-M. 1999. Arabesques: Decorative Art in Morocco. ACR Éd. Internationale, Paris.
[8] Critchlow, K. 1976. Islamic Patterns. Thames & Hudson, London.
[9] Ettinghausen, R. O. Grabar and M. Jenkins-Madina 2001. Islamic Art and Architecture, 650-1250, 2nd ed. (Yale University, New Haven).
[10] Frishman, M. and H. Khan, eds. 1994. The Mosque: History, Architectural Development & Regional Diversity. Thames and Hudson, London.
[11] Gerdes, P. 1999. Geometry from Africa. Math Association of America.
[12] Jones, O. 1868. The Grammar of Ornament. Bernard Quaritch, London [1856].
[13] Necipoglu, G. 1995. The Topkapi Scroll --Geometry and Ornament in Islamic Architecture. Getty Trust Publications, Santa Monica, CA.
[14] el-Said, I. 1993. Islamic Art and Architecture: The System of Geometric Design. Ed. T. El-Bouri. Garnet Publishing.
[15] el-Said, I. and A. Parman 1988. Geometric Concepts in Islamic Art. Repr.[1976]. Scorpion.
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Full Text
http://archive.bridgesmathart.org/2007/bridges2007-453.pdf
