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Instructions on the use of projects
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This is a Phase II expansion grant from the National Science Foundation (2008-2011). The goal of the project is to develop, classroom test, evaluate and disseminate projects based on primary historical sources in Discrete Mathematics, Combinatorics, Logic and Computer Science courses. This is a collaborative project between Mathematics (Math) and Computer
Science (CS) faculty at New Mexico State University (NMSU) and The web page for our previous Phase I NSF pilot grant, explaining our pedagogical goals, along with a list of available projects from that grant is at http://www.math.nmsu.edu/hist_projects. Call for Site Testers Any instructor of computer science or mathematics is invited to test any of our projects in the classroom for courses in discrete mathematics, combinatorics, graph theory, algorithm design, logic, abstract algebra, foundations of mathematics, or the history of mathematics. Please contact us if you are interested in participating. List of projects we have been developing 1. Sums of numerical powers in discrete
mathematics: Archimedes sums squares in the sand 2. Figurate numbers and sums of numerical
powers: Fermat, Pascal, Bernoulli 3. Deduction through the Ages: A History of Truth 4a. Origins of Boolean Algebra in
the Logic of Classes: George Boole, John Venn and C. S. Peirce 4b. Boolean Algebra as an Abstract Structure:
Edward V. Huntington and Axiomatization 4c. Applications of Boolean Algebra: Claude
Shannon and Circuit Design 5. Euclid's Algorithm for the Greatest Common
Divisor 6. Algorithms, Recursion and Induction:
Euclid and Fibonacci 7. Striving for efficiency in Algorithms: Sorting 9. Networks and Spanning Trees 10. Project on Program Correctness 11. Abstract awakenings in algebra: Early group theory
in the works of Lagrange, Cauchy, and Cayley 12. Regular languages and Finite Automata 13. Henkin's Method and the Completeness Theorem 14. Peano Arithmetic 15. Godel's inCompleteness Theorem 16. Undecidability of First-Order Logic 17. An Introduction to Sets and Infinity via Richard Dedekind References for the projects. |
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