ncs-NSDL-COLLECTION-000-003-112-021|1007936|ncs-NSDL-COLLECTION-000-003-112-027
This web unit includes classroom activities for four different squares: Lo Shu, Sator, Dürer, and Franklin, three of them demonstrating increasing complexity using numbers, and one made up of letters, with number and symmetry questions and links and suggestions for history, geography, and writing activities for teachers interested in interdisciplinary work. The unit includes directions for building magic squares, magic square generators, discussion of some special properties of magic squares, a Java applet, links to other magic square Web sites, and articles such as "What is a Magic Square?" and "Where's the Math?"
Summary
| Subject keyword(s) | Addition, Area, Area of polygons, Arithmetic, Biographies of mathematicians, Connections, Early number systems, Education, Famous problems, Geometric patterns, Geometric sequence, Language Arts, Logic and foundations, Mathematics, Mathematics -- Algebra, Mathematics -- Instructional issues, Mathematics history, Measurement, Mental calculation, Methods of proof, Number and operations, Number concepts, Number patterns, Number sense, Number Sense/About Numbers, Number theory, Operations, Patterns and sequences, Perimeter, Primes, Process skills, Social Studies, Symmetry/Tessellations, Whole numbers |
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| Grade level | Elementary School, Middle School, High School, Higher Education, Informal Education, Vocational/Professional Development Education |
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| Intended audience | Educator, Learner |
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| Resource type | Instructional Material, Reference Material, Tool |
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| Resource format | application, application/pdf, image, image/gif, image/jpeg, text, text/html |
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| Rights | Drexel University
Copyright (c) 1994-2011 Drexel University
http://mathforum.org/announce/terms.html |
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Using this resource
Found in collection(s)
Click on the logo to get more information about the collection.
| Title | AMSER: Applied Math and Science Education Repository |
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| Link | http://amser.org/ |
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| Description | AMSER (Applied Math and Science Education Repository) is a portal of educational resources and services built specifically for those in community and technical colleges, but free for anyone to use. AMSER is funded by the National Science Foundation (NSF) as part of the National Science Digital Library, and is being created by a team of project partners led by Internet Scout. |
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| Full description and distribution of resources |
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| Title | Middle School Portal: Math and Science Pathways (MSP2) |
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| Link | http://msteacher2.org/ |
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| Description | The Middle School Portal 2: Math and Science Pathways (MSP2) supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice. MSP2 is a project of the Ohio State University College of Education and Human Ecology, National Middle School Association, and Education Development Center, Inc., and is funded by the National Science Foundation. The partners integrate resources, tools, and services across projects, and support multiple methods of resource discovery to meet the needs of this audience. |
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| Title | Mathlanding: Elementary Mathematics Pathway |
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| Link | http://www.mpt.org/ |
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| Description | Mathlanding offers high-quality digital mathematics content and contextualized resources, enabling educators to easily incorporate them into effective instructional practice. This NSDL Pathway is provided by Maryland Public Television (MPT), Math Forum at Drexel University, and the International Society for Technology in Education (ISTE) to foster excellence in elementary mathematics education, and is targeted to support elementary classroom teachers and specialists, coaches, supervisors, educators involved in teacher preparation, and parents. |
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Content contained within the resource
A Math Forum Web Unit Suzanne Alejandre's Magic Squares Suzanne's Math Lessons || Suzanne'sTessellation Lessons Magic squares received their name because there are so manyrelationships between the sums of the numbers filling the squares. Students often believe that "mathematics" was "written" by oneperson. In these pages you will find that the magic square mathematicalgamehas existed throughout history and in many different parts of the world.Math is all around us and your mind will see it when you'reready! What is a Magic Square? Allan Adler definesand discusses some special properties of magic squares. Magic Squares - History, Mathematics,Geography Lo Shu Magic Square TheBack of the Divine Tortoise Classroom Activity China - the country of Lo Shu Albrecht Dürer's Magic Square Albrecht Dürer - Engraving of Melancholia Albrecht Dürer - engraver More about Albrecht Dürer Classroom Activity Germany- the country of Albrecht Dürer GEOM ART RY - Ralph Martel Benjamin Franklin's 8x8 MagicSquare The World of Benjamin Franklin - theFranklin Institute Classroom Activity Pennsylvania, U.S.A. - BenjaminFranklin's State The Sator Square The Sator Rotas Square Classroom Activity Where's the Math? - with Allan Adler Classroom activities: multiplying magicsquares Constructing magic squares Defining the magicsquare; special properties Exploring the math Review: Squaring a magicsquare Mike Morton's MagicSquare Java Applet Updated MagicSquare Java Applet by Pavel Safronov and Michael McKelvey Dubi Kaufmann's Magic Square Puzzle H. B. Meyer's 5 x 5 Magic Square Generator Special magic square unit by Neil Abrahams The Franklin Square Background and Lesson Information Construction Algorithm Observations and Proofs: Rows Columns and General Observations Columns and General Observations, cont. Questions, Suggestions & References Other Magic Square Links Double Six Magic Square - Jill Britton Buried in the foundation of a house to dispel evil spirits, the Double Six Magic Square at the Shaanxi History Museum contains six numbers in length and breadth, the numbers in vertical, horizontal and diagonal lines add up to 111, respectively. Note: Paul Michelet provides this additional description: The "Double six magic square" from the Shaanxi History House in China, is in fact a so-called bordered square, with the 6 x 6 containing a perfect panmagic 4 x 4 square, with numbers running from 11 to 26. MutsumiSuzuki's Magic Square Page Magic Squares, Magic Stars & Other Patterns by Harvey D. Heinz Fabrizio Pivari's Simple Magic Square png maker Grog's Magic Squares Interactive Magic Square by Lee-Anne Grunwald MathWorld: Magic Squares by Eric W. Weisstein Multimagic Squares by Christian Boyer Solving Magic Squares by Kevin Brown Mutsumi Suzuki's Magic Stars Whatis a Magic Star? MagicStar Sets TransformingMagic Stars CombiningExchange Rules [Privacy Policy] [Terms of Use] Home || The Math Library || Quick Reference || Search || Help © 1994-2012 Drexel University. All rights reserved. http://mathforum.org/ The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.Send comments to: SuzanneAlejandre This site is listed in the BBC Education Web Guide.
