- 3-D Drawing and Geometry - Cathi Sanders
A Math Forum Summer 1998 Institute project that uses examples of paintings, architecture, etc. to analyze different types of 3-D drawings, and teaches students how to create them. Careers in 3-D drawing that use these techniques, from architecture to
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- 5 Numbers - Simon Singh and Marcus du Sautoy, BBC Radio 4
Web pages and Real Audio Music downloads of fifteen minute-long radio broadcasts that take a "quirky look" at zero, pi, the golden ratio, i, and infinity. "Hear about the stark reality behind the imaginary number, try a slice of pi, find out about the
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- Apply Lessons: Technical and Professional Communications 12 - Center for Applied Academics, B.C., Canada
Education for the real world. Lesson plans and the careers to which they apply include: Who Said That? (Immunologist); The Shortest Distance Between Two Points (Mechanical Drafter Designer); Cornering the Information Market (Market Analyst); Tell it like
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- Architecture in Education (AIE) - Foundation for Architecture, Philadelphia, PA
AIE uses architecture as the basis for hands-on, interactive projects that connect, integrate and deepen K-12 student learning across the curriculum. Students explore the world through drawing, writing, model-making, neighborhood walks, field trips, research,
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- BitArt - Robert J. Krawczyk
Illustrated introductions to spirolaterals and strange attractors. See a self-running demonstration of a variety of spirolaterals, or generate one of your own and see all the reversals. The link of current exhibits lists installations showing strange
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- Build a Recreation Center Using Geometry - Gwen Neuberger, Community High School, West Chicago, IL
"Our geometry class is being asked to design a recreation center for the children of West Chicago. Money is no object. The class will be divided into groups of approximately four students." The site includes a lesson plan and scenario, as well as pages
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- CAD Centre - Index Searcher - University of Strathclyde, Glasgow, Scotland
A searchable index of the CAD Centre, a postgraduate teaching and research unit in design manufacture and engineering management, with research focused on design methods and computer support of the design process for engineering applications.
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- CARTESIO - Camillo Trevisan
An educational computer graphics program for Windows and Macintosh, providing an understanding of the geometric configuration of projections (for example, the positions of the projection plane and viewpoint relative to the Cartesian axes).
All projection
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- Co-op City - Peter Barricelli
A classroom project involving the construction of scale models of buildings and towns. In addition to teaching ratio and proportion, the process introduces the students to blueprint and CAD (Computer Aided Design) programs.
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- Culturally Situated Design Tools: Teaching Math through Culture - Ron Eglash
Java for creating your own Mangbetu design, cornrow curves, graffiti, bead looms, SimShoBan, Yupik star navigator, Yupik parka patterns, Pre-Columbian pyramids, and rhythm wheels -- and learning the mathematics behind them. Organized into African, African
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- The EduTech Institute - Georgia Institute of Technology
A multidisciplinary research organization committed to enhancing science, math and design education through innovative uses of technology. The two target populations are undergraduate engineering students and middle school science and math students. CoWeb
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- Energy Efficient Architectural Design and Model Building - Stephen Kass - Yale-New Haven Teachers Institute
A unit designed for middle to high school level math teachers who want to illustrate the principles of scaling, ratio, and proportion in a concrete way through model building, and for science teachers who want to teach practical energy efficient design
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- Exactly How Is Math Used In Technology? - Mathematics Dept., British Columbia Institute of Technology
A table of examples of how various areas of mathematics are applied to various areas of technology. Areas of technology include biomedical engineering, food technology, building technology, chemical sciences, civil and structural engineering, graphics
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- Fibonacci Numbers and the Golden Section - Ron Knott
Information about the Fibonacci series, including a brief biography of Fibonacci, the numerical properties of the series, and the ways it is manifested in nature. Fibonacci numbers are closely related to the golden ratio (also known as the golden mean,
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- Four Corners, Four Faces (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids)
To Arthur Silverman, a sculptor in New Orleans, tetrahedrons, or triangular pyramids, are very special. He's been creating sculptures based on the tetrahedron for more than 20 years. You might see examples on display in plazas and office buildings in
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- Frieze Patterns - David A. Reid
A frieze is a pattern which repeats in one direction. Friezes are often seen as ornaments in architecture. A mathematical analysis reveals that there are seven different frieze patterns possible. These resources were designed for a standards-based project
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- Geodesic Domes - Rick Bono
Geodesic dome design software: DOME is a freeware DOS utility for generating the coordinates of a geodesic dome or sphere. The zip archive includes a DOS executable, C++ source code, and Unix/Linux defines for those who want to brave the cross-platform
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- Geometria descrittiva e applicazioni grafica 3d - Hasan Isawi
Metodi della rappresentazione, proiezioni ortogonali, assonometria e prospettiva. Restituzione prospettica da foto. Visualizzazione interattiva in 3d: museo sul tevere, teatro a Sarievo, edifici residenziali, stazione trastevere, edifici polifunzionali.
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- Geometric Shapes in Architecture - Lauretta J. Fox - Yale-New Haven Teachers Institute
A unit designed to improve students' understanding and appreciation of
basic geometric shapes used in architecture. It describes various plane geometric figures and discusses in detail the properties of several of these figures. Perimeters and areas
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- Geometric Systems in Architecture - Sheryl A. Decaprio - Yale-New Haven Teachers Institute
Lessons that include deriving formulas for volume by building rectangular prisms, identifying geometric solids by constructing cubes, tetrahedrons, and octahedrons, and identifying geometric patterns found in ceiling and wall tiles. Additional lessons
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- Geometry In Action - David Eppstein, Theory Group, ICS, UC Irvine
A collection of applications of computational geometry: 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
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- The Golden Mean - Rashomon (K. Wiedman)
The Golden Mean or Golden Section was derived by the ancient Greeks. Like pi, the number 1.618... is an irrational number. Both the ancient Greeks and the ancient Egyptians used the Golden Mean when designing their buildings and monuments. Links to pages
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- The Great Golden Pyramid - Tony Smith
The largest of the Giza pyramids is usually called the Great Pyramid. It can also be called the Great Golden Pyramid, because its geometry is that of the Golden Mean. Pictures and diagrams of the interior and exterior architecture, with explanations of
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- HelpingWithMath.com - David Burns, HelpingWithMath.com
Worksheets, printable tables and charts, and online tools. Browse by subject or grade.
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- Hope's Books - Hope Martin
Math workbooks for elementary, middle school, and high school teachers, designed to integrate hands-on, motivating activities with skills and concepts reflecting the new Standards. Also workshops for teachers. Books to order online include: What Year
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- Illusions of Depth (Elementary Art Lessons, Arts Wire) - Michael Delahunt
A 3rd grade lesson plan on "Seeing Near and Far": students learn how overlapping and size differences show perspective, and that on a level surface, the lowest part of a near subject is lower in a picture than the lowest part of a farther subject, recognizing
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- The International Society for the Arts, Mathematics, and Architecture (ISAMA)
Furthers interdisciplinary education relating the arts, mathematics, and architecture. Conferences and membership information.
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- The Internet Mathematics Challenge - Julie Houston and David Trask
Explore the geometry of architecture, and share your observations with the students who built this site. With a Java-enabled browser, mouse over pictures of buildings to find the angles, arches, and other geometric figures appearing in Durham Cathedral,
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- ISAWI Laboratory - Hasan Isawi
Geometria_descrittiva; La Cupola della Roccia - graphic representation of architectural plans; static and/or dynamic montage of any real or virtual image. Graphic representations for thesis and university examinations. Gallery of images.
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- Mark's Maths and Excel Pages - Mark Dabbs
Geometry topics presented with the aid of downloadable Geometer's Sketchpad (GSP) files; see, in particular, Japanese temple geometry. Two comprehensive Tutorials in Excel spreadsheet form are provided for intermediate and advanced (VBA) users, and an
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- Math Bibliographies - Dept. of Mathematics, University of Florida
A collection of bibliographies, with two distinct search mechanisms. Contents: Introduction; More about WAIS; More about Glimpse; Bibliography on ergodic theory and dynamical systems; Bibliography on harmonic maps; Journal of Differential Geometry; VAF
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- Mathematics Across the Curriculum (MATC) - Dartmouth College
An NSF-funded project which strives to integrate the study of mathematics into the whole curriculum. MATC Courses: Mathematics and the Humanities (Pattern, Chaos, Late Renaissance Thought and the New Universe, Math and Science Fiction, Geometry in Art
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- Mathematics and Architecture Design - Winnifred Morgan - Yale-New Haven Teachers Institute
A unit about architecture and its unique relation to mathematics, incorporating
the study of such mathematical concepts as ratio, proportion, scales, symmetry, and similarity, and providing definitions and explanations of the mathematical concepts of
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- Mathematics in Architecture - Lauretta J. Fox - Yale-New Haven Teachers Institute
To produce structures that are functional as well as models of architectural beauty, designers must apply principles of mathematics in their work. Scale drawings, commonly known as plans, are used as patterns in the construction of buildings. Proper ratios
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- Mathematics in Art and Architecture - Helmer Aslaksen
An interdisciplinary course on mathematics in art and architecture, including the pyramids, Dürer and da Vinci, kaleidoscopes, the Golden Ratio and the Platonic solids, symmetry and patterns, music, Vitruvius, mazes and labyrinths, the origin of
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- Mathematics Museum (Japan)
Exhibits: Deformation of Catenoid to Helocoid; Geometry of wallpaper patterns (with interactive examinations); Math-Cut Studium; Soliton-Lab Art Gallery; Sangaku (Japanese temple geometry problem); The beauty of surfaces; Kodawari House, Keiichi Suzuki's
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- Mechanical Drawing - Cathi Sanders, Punahou School
Web resources from a class designed to introduce students to technical drawing, as used in the professions of Graphic Design, Architecture, Engineering and related fields. Students learn to use pencil and computer techniques to design a package, a Rube
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- The Millennium Sphere - The Cooper Union
Jean Le Mee, Manuel A. Baez, and a team of their Cooper Union students submitted the Millennium Sphere for an international time-capsule competition sponsored by the New York Times Magazine. Watch a Shockwave animation of Ad Quadratum generation that
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- Museum of History of Science, Florence, Italy
A bilingual (Italian and English) site providing research capabilities within the Italian Bibliography of Science History and the Library of the History Of Science Museum. Includes an online exhibition on Mechanical Marvels - Invention in the Age of Leonardo,
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- MVC (Metroplex Voice Computing)
Hands- and mouse-free arithmetic and math programs for the physically impaired student who cannot use the keyboard. Voiced mathematics products include: ArithmeticTalk (grades 1-5, for addition, subtraction, division, and multiplication); MathTalk (grades
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- Nexus Network Journal: Architecture and Mathematics Online - Graham Foundation for Advanced Studies in the Fine Arts
A peer-reviewed research resource for studies in architecture and mathematics, published quarterly on the Internet and annually in print by Kim Williams Books.
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- Nummòlt - Maurici Carbó Jordi
Java applets: an area "workshop," which explains area and division by converting numbers in area units; an architect's toy blocks, with gravity; connecting and programming elementary logic (in the form of pipes with light bulbs signifying true sentences);
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- Physics Park: Building Rides Online - Denise Ciotti; Online Class, TBT International, Inc.
An eight-week online course designed to supplement physics and pre-physics curricula, for grades 5-9 and 10-12. Students from many classrooms work together to create a "virtual" amusement park. Using the presented concepts and the practice problems, each
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- Plexagon - Pleated Hexagon - Paul Bourke, Ron Evans
Plexagon is a new modular geometry based on the radial pleating of polygonal plates, and their joining or co-bracing into 3D modules. This engineering approach can form a very practical basis for modular greenhouses (using recycled plastic sheeting) and
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- The Pluses and the Minuses - Energy Conservation Enhancement Project
Students calculate insulation needs in the home, completing a variety of addition and subtraction problems, especially using decimals, and derive and solve mathematical formulas from word problems. They also learn go define insulation and R-values, and
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- Polyhedron Models Custom Built - George Olshevsky
Buy models constructed from stiff 65-lb colored cover stock; or, from the page Go to Nuts About Nets! order prints of polychora nets. Symmetric figures in solid geometry have fascinated people since ancient times. Early Egyptians played with icosahedral
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- The Projects of R. W. Gray - Robert W. Gray
Geometric coffee tables, an introduction to polyhedra and the jitterbug (a dynamic polyhedron) that draws on the golden ratio, a collection of notes with respect to R. Buckminster Fuller's work, photos of a dome frame Gray built with students at Oswego
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- PUERTRA - Javier Sánchez González
The software package PUERTRA implemented a theoretical study of formal properties of Islamic geometrical art. PUERTRA modeled the Islamic rectilinear interlaced lattices found extensively in wood work (artesonado ceilings, mosque minbars, doors and windows,
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- R. Buckminster Fuller on PBS - Thirteen / WNET
A biography of R. Buckminster Fuller, with explanations and illustrations of inventions such as the Dymaxion house, Dymaxion car, Dymaxion bathroom, and geodesic dome. Explore Fuller's Dymaxion map, John Kuhtik's Fly's Eye Dome, the World Game, and the
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- Shaping a Personal Environment - Robert F. Evans - Yale-New Haven Teachers Institute
Students design and organize personal space by completing necessary plans and elevations, perspective, and detail drawings of a given or proposed space
while using imagination to tie it to career and life goals. Each unit during the
year is designed
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The Math Forum is a research and educational enterprise of the Drexel School of Education.