Geometry Web Sites
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Elliptic Geometry Drawing Tools - a simple sketch in conjunction with the many scripts for elliptic geometry.
(http://forum.swarthmore.edu/sketchpad/maa96/findell/)Gateway to Educational Materials (GEM) - sponsored by the U.S. Department of Education, GEM is a special project of the ERIC Clearinghouse on Information & Technology, to provide educators with quick and easy access to the substantial, but uncataloged, collections of educational materials found on various federal, state, university, nonprofit, and commercial Internet sites. Use the search engine or click on "Browse subjects" to reach a menu whose "mathematics" item breaks out into 30 subcategories.
((http://www.thegateway.org/))Geometry - Bruno Kevius's, professor at the Technical University in Budapest, links to geometry sites on the Internet - perhaps one of the most comprehensive listings of geometry web resources, continually updated
(http://www.abc.se/~m9847/matre/geometr.html)Geometry In Action- Areas in which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real world applications, with brief descriptions of those applications and the geometric questions arising from them, as well as pointers to web pages and other sources of further information.
(http://www.ics.uci.edu/~eppstein/geom.html)Geometry Center - the classic site on mathematics research and education center at the University of Minnesota. The Center has a unified mathematics computing environment supporting math and computer science research, mathematical visualization, software development, application development, video animation production, and K-16 math education. Has some excellent downloadable software and a wonderful section on tilings.
(http://www.geom.umn.edu/)with, in particular, the Science Museum Math Exhibit - which shows tiling on different surfaces and has free software to use in class
(http://www.geom.umn.edu/docs/forum/museum/)
and their geometry forum for an excellent group of research articles, puzzles, and educational software.
(http://www.geom.umn.edu/docs/forum/)Geometry Forum - vast math resources for k-12, college and research; problem of the week in different fields; new directions and issues in pedagogy - A GREAT PLACE!!!
(http://forum.swarthmore.edu/)JAVA Gallery of Interactive Geometry (http://www.geom.umn.edu/java/) - several applets for geometry
from which comes The Wallpaper Group
(http://www.geom.umn.edu/java/Kali/program.html)Java Geometry Explorer - an applet that explores the Cardioid and Nephroid interactively
(http://sprott.physics.wisc.edu/pickover/omega.htm)MegaMathematics - a wonderful site from Los Alamos National Laboratory covering topics such as: Games on Graphs, Untangling the Mathematics of Knots, Algorithms and Ice Cream for All,
(http://www.c3.lanl.gov/mega-math/)NCTM Standards - National Council of Teachers of Mathematics draft of updated Standards, entitled "Principles and Standards for School Mathematics".
(http://www.nctm.org/standards2000/)The New Jersey Mathematics Curriculum Framework - resources for mathematics teaching in NJ (http://dimacs.rutgers.edu/nj_math_coalition/framework.html)
New Jersey Core Curriculum Content Standards - a listing of the core curriculum content standards for each subject area.
(http://www.state.nj.us/njded/cccs/index.html)NonEuclid - the site for a Java Software Simulation offering Ruler and Compass Constructions in both the Poincaré Disk and the Upper Half-Plane Models of Hyperbolic Geometry (a geometry of Einstein's General Relativity Theory and Curved Hyperspace) for use in High School and Undergraduate Education.
(http://math.rice.edu/~joel/NonEuclid/)Pavilion of Polyhedral Reality - great polyhedral graphics and one of the best things about this site is the links to other web pages related to polyhedral and/or geodesic material.
(http://www.georgehart.com/)Project InterActivate - the Shodor Educational Foundation's site with interactive activities based on the NCTM standards.
(http://www.shodor.org/master/interactivate/)with different interactive activities (http://www.shodor.org/master/interactivate/activities/index.html)Thinkquest Sites - collection of sites created by 5_12 students on topics in mathematics. Search specifically for the geometry sites.
(http://www.thinkquest.org/library/index.html)Geometer's Sketchpad Web Sites
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(http://www.keypress.com/sketchpad/index.html)ttt
(http://forum.swarthmore.edu/sum95/ruth/sketches/algcalc.sketches.html)Dynamic Geometry with Geometer's Sketchpad - a complete tutorial on dynamic geometry which is best described as a geometry remembering relationships among the various components of a construction
(http://mtl.math.uiuc.edu/modules/dynamic/what_to_do.htm)Geometer's Sketchpad at Work - three examples using the GSP applet: the path of a paint bucket on a falling ladder, construction of tessellations based on a quadrilateral, and construction of conic section using the focus definitions.
(http://www.math.psu.edu/geom/shemyak/SP/)JavaSketchpad: Dynamic Geometry for the Internet - Instructions on how to use Java Sketchpad
(http://forum.swarthmore.edu/dynamic/java_gsp/index.html)with its Gallery of Examples
http://forum.swarthmore.edu/dynamic/java_gsp/DR2Gallery.html)JavaSketchpad Links - a set of links to various sites that use, explain, and demo the JavaSketchpad applet
(http://www.keypress.com/sketchpad/java_gsp/links.html)Lesson Plans for the Geometer's Sketchpad - set of lesson plans developed by teachers through a grant for Mathematics and Technology at William Paterson University
(http://www.wpunj.edu/icip/itm/Lessonpl/sketch/sketch.html)Lesson Plans Using GSP - a set of lesson plans for grades 6,7, and 8, complete with overview, objectives, lesson plans, and unit tests
http://castle.uvic.ca/educ/lfrancis/web/GSPLessonPl.htmlMath Forum Sketchpad Resources - links to many different types of Sketchpad activities and sketches within the Math Forum
http://forum.swarthmore.edu/sketchpad/sketchpad.htmlSketchpad Resources on the Web - links to resources on the Internet with many student projects, add-on modules, lesson plans, and tutorials
(http://forum.swarthmore.edu/dynamic/sketchpad.weblinks.html)Symmetries, Patterns & Tessellations Constructed With The Geometer's Sketchpad - a resource site with Sketchpad files on the wallpaper groups, tessellations, and the Penrose tiling (files are only for the Windows version of GSP)
(http://home6.inet.tele.dk/bergmann/16engelsk/idx16.htm)Teacher In-service Lessons to Learn GSP - listing of the skills teachers require if they are to use Geometer's Sketchpad to teach mathematics at the grades 6,7, and 8 levels.
(http://castle.uvic.ca/educ/lfrancis/web/GSPInservice.html)BOOKS
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__________. Pythagoras Plugged In with the Geometer's Sketchpad. Berkeley, CA: Key Curriculum Press, 1995.
Coxeter, H. S .M. , P. Du Val , H .T. Flather, and J .F. Petrie. The Fifty-Nine Icosohedra. New York: Springer Verlag, 1982.Croft, H., K. Falconer, and R. Guy. Unsolved Problems in Geometry. New York: Springer Verlag, 1991.
Escher, M. C. Escher on Escher. New York: Harry N. Abrams, Inc., 1986.Gardiner, M. Penrose Tiles to Trapdoors Ciphers. New York: W. H. Freeman, 1989.
Ghyka, M. The Geometry of Art and Life. New York: Dover Publications, Inc., 1977.Greenberg, M.J. Euclidean and Non-Euclidean Geometries. San Francisco:
W .H. Freeman and Company, 1994.
Henle, M. G. Modern Geometries: Non-Euclidean, Projective, and Discrete.
Upper Saddle River, NJ: Prentice Hall, 2001.
Hilbert, D. The Foundations of. Geometry. LaSalle, Illinois: Open Court, 1950.
Huntley, H. E. The Divine Proportion. New York: Dover Publications, Inc., 1970.
King, J. Geometry Through the Circle with the Geometer's Sketchpad. Berkeley, CA:
Key Curriculum Press, 1996.Land, S. and G. Murrow. Geometry: A high School Course. NY: Springer Verlag,1988.
Mandelbrot, B. B. The Fractal Geometry of Nature. New York: W. H. Freeman and Company, 1983.
Moise, E. Elementary Geometry from an Advanced Standpoint. New York: Addison-Wesley, 1990.
Posamentier, A. S. Excursions in Advanced Euclidean Geometry. New York: Addison-
Wesley, 1984.Sanders, C. Perspective Drawing with the Geometer's Sketchpad. Berkeley, CA:
Key Curriculum Press, 1994.Schattschneider, D. and W. Walker. M. C. Escher Kaleidocycles. Corte Madera, CA:
Pomegranate Artbooks, Inc. 1987.
Scher, D. Exploring Conic Sections with the Geometer's Sketchpad. Berkeley, CA:
Key Curriculum Press, 1995.
Serra, Michael, Discovering Geometry, Berkeley, CA: Key Curriculum Press, 1994.
__________, Patty Paper Geometry, Berkeley, CA: Key Curriculum Press, 1994.
Shaffer, D. Exploring Trigonometry with the Geometer's Sketchpad. Berkeley, CA: Key Curriculum Press, 1995.Smart, J. R. Modern Geometries. New York: Brooks/Cole Publishing Company, 1998.
West, E. Roads to Geometry. Upper Saddle, NJ: Prentice Hall, 1998.
Young, G. C. Beginner's Book of Geometry. New York: Chelsea Publishing Company, 1970(reprint).
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