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Middle/High School - Grades 7-12
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R=Reference/Experiment   S=Sample Project
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Discover a method to multiply two numbers represented by the same quadratic form.
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Efficient True Random Number Generation
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Examine the correlation between the Fibonacci sequence and the spiral phyllotaxis, or leaf arrangement, of various plants occurring in nature.
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Test three random number generators (functions in Excel, C++, and Java) and evaluated the results using chi-square values from each experiment to determine which program was most likely to generate unbiased random numbers.
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Prove if Benford's Law applies to randomly generated numbers, and not just to numbers occuring from natural data sets.
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Experimental Verification of the Prime Number Theorem
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Build a binary marble adding machine
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What is a prime number?
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The Efficiency of Prime-Testing Algorithms
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Pascal like Triangle, Sierpinski like Gaskets and Fibonacci like Sequences.
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A Mathematical Proof of a Relationship between Fibonacci and Lucas Numbers
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Pseudo-Random Numbers
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How to find perfect numbers.
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Is there a general divisibility rule, or pattern, that applies to any number?
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Observe the occurrences of Fibonacci numbers, sequences, the Fibonacci ratio, and the Fibonacci spiral in nature.
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Develope a circle map that represents the Collatz transformation and investigates its properties to make progress in proving the Collatz conjecture.
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Find out if there is a number that will disprove Goldbachs Conjecture
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What patterns are formed when number sequences are translated into different base systems and interpreted in base-10?
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Inverse Symmetry Pattern in the Multiplication Table
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Pi Science Fair Projects
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Useful Links
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R=Reference
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Science Fair Projects Resources
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Mathematics Resources
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Citation Guides, Style Manuals, Reference
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