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  • Middle/High School - Grades 7-12
    R=Reference/Experiment   S=Sample Project
    Discover a method to multiply two numbers represented by the same quadratic form. R
    Efficient True Random Number Generation R
    Examine the correlation between the Fibonacci sequence and the spiral phyllotaxis, or leaf arrangement, of various plants occurring in nature. R
    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. R
    Prove if Benford's Law applies to randomly generated numbers, and not just to numbers occuring from natural data sets. R
    Experimental Verification of the Prime Number Theorem R
    Build a binary marble adding machine R
    What is a prime number? S
    The Efficiency of Prime-Testing Algorithms R
    Pascal like Triangle, Sierpinski like Gaskets and Fibonacci like Sequences. S
    A Mathematical Proof of a Relationship between Fibonacci and Lucas Numbers R
    Pseudo-Random Numbers R
    How to find perfect numbers. R
    Is there a general divisibility rule, or pattern, that applies to any number? R
    Observe the occurrences of Fibonacci numbers, sequences, the Fibonacci ratio, and the Fibonacci spiral in nature. R
    Develope a circle map that represents the Collatz transformation and investigates its properties to make progress in proving the Collatz conjecture. R
    Find out if there is a number that will disprove Goldbachs Conjecture R
    What patterns are formed when number sequences are translated into different base systems and interpreted in base-10? R
    Inverse Symmetry Pattern in the Multiplication Table R

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