抄録
The purpose of a series of our studies is to discuss more effective method of mathematical problem posing by using computer. We have reported in the previous studies such mathematical activities by university students who were the prospective teachers. In study (I), we practiced the problem posing by using computer after solving original problem, and through study (II) to study (IV) we examined various ways for the effective problem posing. The features of our method is to give students enough time to create problems, and to provide situations in which students make conjectures on results and get the numerical calculation by using computer. In this paper, we report the practice of problem posing by using computer after solving original problem which is the same problem as study (I). In addition to the above features, we employ the method to devide the problem posing into two stages. That is, we provided situations in which students made problems after solving original problem without using computers at the first stage and made a mathematical inquiry about their problems by using computer at the second stage. From the activities, we examined how they made problems from original problem and how they made problems with mathematical inquiry by using computer, through the analysis of problems posed by the students. Results of analysis indicated that such activities enabled students to extend mathematical inquiry step by step. As in the previous studies, the practice shows some tendency that students who tackled making problem by using computer get some deep understanding for the mathematical properties related to the problems. Students solved problems to each other, and the solver and the student who posed a problem commented on problems each other. As a result, there was communication between students. We observed more positive learning attitude of students than the usual classes. It is asserted that the opportunity in a class to discuss problems posed by using computer is very important in such activity, in particular for the prospective teachers.
