Misconceptions emerging in mathematics student teachers’ limit instruction and their reflections

The purpose of this study is to investigate the misconceptions emerging in mathematics student teachers’ limit instruction and the reflections of these misconceptions on their teaching. In this study, which used the case study design, regarding the limit concept, four senior mathematics student teachers’ four-hour limit instruction was examined within the context of misconceptions as described in the literature. Mathematics student teachers’ lesson plans, video recordings of the participants’ lessons in which they taught the concept of limit and audio recordings of semi-structured interviews were used to gather data. Participants carried their instruction mostly by demonstrating that the function’s limit is different than the function’s value at $$x=a$$ x = a . However, since mathematics student teachers did not have adequate knowledge of misconceptions regarding the limit concept, some misconceptions emerged in their teaching process. Three of the participants made illustrations by making use of the meaning attributed to limit in daily language, and this situation caused students to perceive the limit concept as the maximum value to be reached and as a boundary not to be exceeded. Copyright Springer Science+Business Media Dordrecht 2014