Computer-oriented Mathematics: An Eulerian Development for Pi: A Research Project for High School Students
During a summer's study under the auspices of the National Science Foundation,1 our History of Mathematics class encountered a most interesting Eulerian problem in infinite series. The problem is exemplary of an abundance of wonderfully rich and exciting historical materials. Acquiring a background in the history of mathematics is important to the high school teacher, for it provides an invaluable source of problem materials with which to capture the imagination and intellectual energies of students. High school mathematics curricula have often been criticized for not providing students with the opportunity to experience the excitement and the deep creative satisfaction of original se]f directed mathematical research. It is hoped that the development that fo1lows provides an example of a viable mathematics research project for secondary school students.