A Cross-Age Study of Students' Understanding of Limit and Continuity Concepts

Karatas I., Guven B., Cekmez E.

BOLEMA-MATHEMATICS EDUCATION BULLETIN-BOLETIM DE EDUCACAO MATEMATICA, vol.24, no.38, pp.245-264, 2011 (SSCI) identifier identifier


The aim of this study is to reveal concept development and the way limit and continuity concepts are understood by students from different levels of education. For this purpose, a test comprising open-ended questions about verbal, algebraic and graphical representations of concepts was administered to students from different levels of education. When students' understandings of limit and continuity concepts are compared, the pre-service teachers in their 3(rd) year of study were found much less successful than other students in algebraic, verbal and graphical representations of limit and continuity concepts. It may be recommended that when designing instructional activities verbal, graphical and algebraic representations should be prioritized to enhance the development of students' interpretation skills of different representations of functions.