Özet:

Mathematics education that enables individuals to obtain problem solving skills and to see the outer world from a different perspective is a special area that needs to be considered during education-instruction process. As a result of the studies in education and instruction that make progress vigorously, concepts such as communities of practices have emerged. The concept of communities of practices that are described as the learning environment where the individuals who share common concerns, interests and problem or who develop information on a subject in the process and who provide specializiation in these subjects stay on are based on the dimensions of individual, institution and mutual relationship. In this research, university students’ preferences of disk, washer and shell methods in the solution process of integral volume problems were scrutinized in terms of personal relationships based on communities of practices. The study group of the research consists of 101 students who are in a state university in İstanbul and chosen by using non-probability sampling method and who are from the faculty of engineering, mathematics department of faculty of science and letters, primary mathematics teaching department of faculty of education. Integral Volume Test, which consists of 7 questions whose reliability and validity were tested, was applied to the study group. Besides, two students chosen randomly from each faculty were interviewed and the course notebooks related to that course and their contents were scrutinized. The data were analyzed and interpreted through coding method and descriptive statistical techniques.As a result of the research, it was discovered that the performances of the university students are low and that factors such as solution skills, tests, concepts images and visualaziation skills affect solution process. The differentiation of the reasons that arise from subject and concept and that may be change according to the individual within the institution have caused different disk, washer and shell methods’ preferences in the solution process of integral volume problems. Within this context, it has been discovered that institutional differences emerged from learning environment and adacemic member and students have affected personal relationships in the solution process of the problem

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