How high school and undergraduate students could present original research of mathematics using computer algebra system.

摘要

We are going to introduce the results of joint research of students and mathematicians. Most of the ideas here were proposed by high school and undergraduate students. We helped students very carefully and precisely in finding themes and generalizing them. At the same time we gave students a lot of freedom, and they have been very imaginative. Sometimes their imaginations are a lot better than professional mathematicians. We used a computer algebra system in our research. CAS gave students a big power of calculation and imagination that were the unique possesion of past great mathematicians. We omit Mathematica calculation here. As to the calculation see Miyadera [2] and [4].