Assessment Of Students Preferred Proof Schemes In The Context Of The Analysis Course

This study investigated the proof schemes preffered by prospective teachers in the analytics courses. This study is a case study focused on qualitative data. In the study, an open-ended questionaire was applied to 12 prospective teachers. They were asked to describe the most memorable proof that was covered in the analytics 1 and analytic 2 courses. Evaluation of these answers showed that the most memorized proof scheme was the transformational proof scheme. First-year students used their preferred proof method, without any structured form, and because they had adequate prior knowledge, they utilized the transformational proof scheme, despite the fact that this scheme demands upper-class level and strong academic understanding. In conclusion, prospective teachers may show a tendency to display a high-level proof scheme by combining their prior knowledge to the proof with the highest level of memorability.