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ISAMA-CTI/2004 |
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Workshops Prior to the conference we will be featuring two full days packed with a series of six teachers' workshops demonstrating methods for teaching mathematics through visual activities. These workshops will be conducted by mathematics and art educators with special expertise in visual mathematics. Watch this page for more complete information. A partial list follows: Geos, Curvos, and Hyperseeing. This is a workshop in constructing sculptures called geos and curvos. Geos are geometric sculptures constructed by joining planar geometric foamcore shapes by inserting pointed wooden toothpicks in the styrofoam edges of the shapes. The shapes can be triangles, rectangles or rhombi. Curvos are constructed from foamcore curves joined end to end with toothpicks. Knot sculptures can be constructed as curvos. It is interesting to view geos and curvos from multiple viewpoints, which is hyperseeing. All materials will be provided including precut shapes and curves. Nat Friedman is a noted sculptor and mathematics educator. He is the founder and director of ISAMA.
Origami: a good way to communicate mathematics! In this session, participants will learn how origami can communicate geometric concepts. Participants, will fold a tetrahedron, a hexaflexagon and a stellated polyhedron. All materials will be supplied. Ann Hanson teaches mathematics to students in the arts at Columbia College in Chicago.
Gyroscoped Icosidodecahedron (Rhombic Triacontahedron)
and Truncated Introduction to the Visualization of Geometry Using Computer Graphics Programming. Learn how to generate simple shapes, patterns, and transformations using the graphics programming language Logo. Begin to see how computer graphics can be used to visualize mathematical constructions and explore some of the underlying methods used to investigate the intersection of math and art. Robert Krawczyk is an artist and computer graphics theorist, who teaches in the architecture program at the Illinois Institute of Technology
Pulling Ropes and Plumbing Lines: Origins of Ancient Geometry The earliest organized geometric investigations were those of the prehistoric "rope pullers". This workshop explores the techniques of these early surveyors and the knowledge of geometry they developed using only ropes and stakes. The methods covered in this workshop can spark the interest of students in the practice of geometry and instill respect for the problem solving skills of early cultures. Stephen Luecking is a sculptor who teaches geometry at CTI. His public sculptures, which feature astronomical alignments, draw on his early experiences as a surveyor.
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Movement of the circle
We will explore by proportional folding and joining paper plate circles an unprecedented, principled, and comprehensive process revealing patterns which underlie 2-D and 3-D geometry, art, and mathematics. This process reveals unexplored levels of understanding art/geometry integration. The circle is the only shape that is simultaneously both Whole and a part. We will fold and discuss universal principles of pattern formation. Paper plates, masking tape and bobby pins will be provided.
Symmetry and the Shape of Space. A hands-on classification of the "wall-paper patterns", the discrete planar symmetries. We will use {topology} to understand these {geometric} patterns. This is surprising---topology can't recognize quantities like angles or distances; but somehow the essential features of these patterns are not really geometric. In the end, we will find a simple way to enumerate all the possibilities. Chaim Goodman-Strauss is a noted and inventive investigator of geometry, who teaches mathematics at the University of Arkansas |
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