Constructing the disk method formula for the volume obtained by revolving a curve around an axis with the help of CAS. (English)

Teach. Math. Comput. Sci. 5, No. 2, 363-376 (2007).

Summary: Calculus concepts should have been taught in a carefully designed learning environment, because these concepts constitute a very important base for almost all applied sciences. The integral, one of the fundamental concepts of Calculus, has a wide application area. This paper focuses on constructing the disk method formula for the volume obtained by revolving a curve around an axis with the help of a CAS. In this study, a semi-structured interview was carried out. In this interview, we tried to construct the disk method formula. The levels of constructing the disk method formula in this study are: $\bullet$ Introducing the concept: evaluating the volume of an Egyptian pyramid. $\bullet$ Evaluating the volume of a cone obtained by revolution (using Maple worksheet). $\bullet$ Designing their own ring and evaluating its price (using Maple). In this study, the interview has been presented as a dialog between teacher and students. When we look at feedback from students, we see that such a teaching method effects students in a positive way and causes them to gain conceptual understanding directed towards the concepts of approximation and volume.