Language-related misconceptions in the study of limits
Syed Mansoor Jaffar & Jaguthsing Dindyal. (2011). Language-related misconceptions in the study of limits. In J. Clark, B. Kissane, J. Mousley, T. Spencer & S. Thornton (eds.), Mathematics: Traditions and [New] practices: Proceedings of the AAMT-MERGA Conference (pp. 390-397). Adelaide, S.A.: Australian Association of Mathematics Teachers, and, Mathematics Education Research Group of Australasia.
Syed Mansoor Jaffar
This paper reports on the language-related misconceptions of a group of post-secondary students when working on problems involving the limit of a real-valued function at a single point. In this qualitative study, 50 post-secondary students took a test and participated in a survey, from which 10 were interviewed after the test. The data revealed several misconceptions held by the post-secondary students about the limit concept that were related to the issue of language. Such language-related misconceptions resulted from incorrect internal representations and the inability to reify the limit.
This paper was published in Mathematics: Traditions and [New] practices: Proceedings of the AAMT-MERGA Conference, held at Adelaide, Australia from 3-7 Jul 2011