1. Are the objective and introduction written in an engaging way? Yes No     If 'No' please explain. characters left 2. Is the difficulty level accurate? Yes No     If 'No' please explain. characters left 3. Were the materials easily obtained? Yes No     If 'No' please explain. characters left 4. Was the procedure clear? Yes No      If 'No' please explain. characters left 5. Were all safety measures included? Yes No      If 'No' please explain. characters left 6. Did you obtain clear, unambiguous results? Yes No     If 'No' please explain. characters left 7. How much time did you spend on the project? Choose One... A day or less Several days About one week A couple weeks Several weeks to months 8. How much did the project cost? Choose One... Less than $20 $20 - $50 $50 - $100 $100 - $150 $150+ Optional:  Do you have any suggestions to improve this project? characters left Optional:  Attach a picture of your project (JPG, JPEG, GIF, PNG only) Optional:  Caption for picture characters left Thank you for your feedback! * Note: This is an abbreviated project idea, without notes to start your background research or a procedure for how to do the experiment. You can identify abbreviated project ideas by the asterisk at the end of the title. If you want a project idea with full instructions, please pick one without an asterisk. Abstract A magic square is an arrangement of numbers from 1 to n2 in an n x n matrix. In a magic square each number occurs exactly once such that the sum of the entries of any row, column, or main diagonal is the same. You can make several magic squares and investigate the different properties of the square. Can you make an algorithm for constructing a Magic Square? Can you show that the sum of the entries of any row, column, or main diagonal must be n(n2+1)/2? Are there any other hidden properties of a Magic Square? Show the differences between special instances of the Magic Square, like the Lo Shu, Durer, Ben Franklin, or Sator Magic Squares. Can magic squares be constructed in 3 dimensions? You can also investigate other shapes, like magic circles and stars (Alejandre, 2006; Pickover, 2002). Or test the question, "Is there really no math in Sudoku?" (Hayes, 2006) Bibliography Alejandre, S., 2006. "Magic Squares," The Math Forum, University of Drexel School of Education. [accessed: 5/1/06] http://mathforum.org/alejandre/magic.square.html Hayes, B., 2006. "Unwed Numbers: The mathematics of Sudoku, a puzzle that boasts "No math required!" American Scientist Online: Vol 94, number 1, page 12. [accessed: 5/1/06] http://www.americanscientist.org/template/AssetDetail/assetid/48550?&print=yes Pickover, C. A., 2002. The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions. Princeton, NJ: Princeton University Press. Variations For more science project ideas in this area of science, see Pure Mathematics Project Ideas. Last edit date: 2007-01-17 23:31:29

I Did This Project! Tell us about your experience with this science project. What was the most important thing you learned? characters left What problems did you encounter? (Enter "none" if you had none.) characters left Can you suggest any improvements or ideas? (Enter "no" if you have none.) characters left How do you rate this project? Poor OK Good Very Good Excellent Optional:  Attach a picture of your project (JPG, JPEG, GIF, PNG only) Optional:  Caption for picture characters left Thank you for your feedback! Related Links Science Fair Project Guide Project Summary Difficulty  7  –  9  Time required Average (about one week) Share this Project Idea! Donate to Science Buddies Sponsor Sponsored by a generous grant from Motorola Solutions Foundation Motorola Solutions Foundation sponsors Summer Science Camp Resource Summer Science Camp Resource

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	Mathematician Mathematicians are part of an ancient tradition of searching for patterns, conjecturing, and figuring out truths based on rigorous deduction. Some mathematicians focus on purely theoretical problems, with no obvious or immediate applications, except to advance our understanding of mathematics, while others focus on applied mathematics, where they try to solve problems in economics, business, science, physics, or engineering.			Math Teacher Math teachers love mathematics and understand it well, but much more than that, they enjoy sharing their enthusiasm for the language of numbers with students. They use a variety of tools and techniques to help students grasp abstract concepts and show them that math describes the world around them. By helping students conquer fears and anxieties about math, teachers can open up many science and technology career possibilities for students. Teachers make a difference that lasts a lifetime!

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