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

Dátum
2007-12-01
Folyóirat címe
Folyóirat ISSN
Kötet címe (évfolyam száma)
Kiadó
Absztrakt

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: • Introducing the concept: evaluating the volume of an Egyptian pyramid. • Evaluating the volume of a cone obtained by revolution (using Maple worksheet). • Designing their own ring and evaluating its price (using Maplet). 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.

Leírás
Kulcsszavak
Maple, Maplet, approximations, volume, definite integral
Forrás
Teaching Mathematics and Computer Science, Vol. 5 No. 2 (2007) , 363-376