# Students’ attitudes to mathematics and performance in limits of functions

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## Abstract

The main aim of this article is to discuss the attitudes to mathematics of students taking a basic mathematics course at a Swedish university, and to explore possible links between how well such students manage to solve tasks about limits of functions and their attitudes. Two groups, each of about a hundred students, were investigated using questionnaires, field notes and interviews. From the results presented a connection can be inferred between students’ attitudes to mathematics and their ability to solve limit tasks. Students with positive attitudes perform better in solving limit problems. The educational implications of these findings are also discussed.

## Keywords

Positive Attitude Mathematics Education Mathematical Idea Meaningful Learning Concept Image
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## References

- Ausubel, D. P. (2000).
*The acquisition and retention of knowledge*. Dordrecht: Kluwer Academic Publishers.Google Scholar - Cornu, B. (1991). Limits. In D. Tall (Ed.),
*Advanced mathematical thinking*(pp. 153–166), Dordrecht: Kluwer Academic Publishers.Google Scholar - Cottrill, J., Dubinsky, E., Nichols D., Schwingendorf, K., Thomas, K., & Vidakovic, D. (1996). Understanding the limit concept: Beginning with a coordinated process scheme.
*Journal of Mathematical Behaviour, 15*, 167–192.CrossRefGoogle Scholar - Davis, R., & Vinner, S. (1986). The notion of limit: Some seemingly unavoidable misconception stages.
*Journal of Mathematical Behavior, 5*, 281–303.Google Scholar - Dreyfus, T. (1991). Advanced mathematical thinking processes. In D. Tall (Ed.),
*Advanced mathematical thinking*(pp. 25–41). Dordrecht: Kluwer Academic Publishers.Google Scholar - Entwistle, N. (1998). Approaches to learning and forms of understanding. In B. Dart & G. Boulton-Lewis (Eds.),
*Teaching and learning in higher education*(pp. 72–101), Melbourne: The Australian Council for Educational Research Ltd.Google Scholar - Hannula, M. (2002). Attitude towards mathematics: Emotions, expectations and values.
*Educational Studies in Mathematics, 49*(1), 25–46.CrossRefGoogle Scholar - Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.),
*Handbook of research on mathematics teaching and learning*(pp. 65–97). New York: Macmillan.Google Scholar - Juter, K. (2003).
*Learning limits of function: University students’ development during a basic course in mathematics*. (Licentiate thesis) Luleå: Luleå University of Technology, Department of Mathematics.Google Scholar - Juter, K. (2004). Limits of functions — How students solve tasks. In C. Bergsten (Ed.),
*Proceedings of MADIF 4, the 4th Swedish Mathematics Education Research Seminar*(pp. 146–156). Malmö, Sweden: Swedish Society for Research in Mathematics Education.Google Scholar - Leder, G., & Forgasz, H. (2002). Measuring mathematical beliefs and their impact on the learning of mathematics: A new approach. In G. Leder, E. Pehkonen, & G. Törner (Eds.),
*Beliefs: A hidden variable in mathematics education?*(pp. 95–114), Dordrecht: Kluwer Academic Publishers.Google Scholar - McLeod, D. (1992). Research on affect in mathematics education: A reconceptualization. In D. Grouws (Ed.),
*Handbook of research on mathematics teaching and learning*(pp. 575–593), New York: Macmillan Publishing Company.Google Scholar - Mohammad Yusof, Y., & Tall, D. (1994). Changing attitudes to mathematics through problem solving. In J. Pedro da Ponte & J. Filipe Matos (Eds.),
*Proceedings of the 18th conference of the International Group for the Psychology of Mathematics Education*(Vol. 4, pp. 401–408), Lisbon: Departamento de Educação, Faculdade de Ciências da Universidade de Lisboa.Google Scholar - Mohammad Yusof, Y., & Tall, D. (1996). Conceptual and procedural approaches to problem-solving. In L. Puig & A. Gutierrez (Eds.),
*Proceedings of the 20th conference of the International Group for the Psychology of Mathematics Education*(Vol 4, pp. 3–10), Valencia: Universitat de València. Departement de Didàctica de la Matemàtica.Google Scholar - Novak, J. D. (1998).
*Learning, creating, and using knowledge*. New Jersey: Lawrence Erlbaum Associates, Publishers.Google Scholar - Pehkonen, E. (2001). Lärares och elevers uppfattningar som en dold faktor i matematikundervisningen. In B. Grevholm (Ed.),
*Matematikdidaktik — ett nordiskt perspektiv*(pp. 230–253), Lund, Sweden: Studentlitteratur.Google Scholar - Schoenfeld, A. (1992). Learning to think mathematically: Problem solving, metacognition and sense-making in mathematics. In D. Grouws (Ed.),
*Handbook for research on mathematics teaching and learning*(pp. 334–370). New York: Macmillan.Google Scholar - Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin.
*Educational Studies in Mathematics, 22*, 1–36.CrossRefGoogle Scholar - Svege, E. (1997). Studenters forestillinger, holdninger og følelser overfor matematikk.
*Nordisk Matematikkdidaktikk, 2*, 25–53.Google Scholar - Szydlik, J. (2000). Mathematical beliefs and conceptual understanding of the limit of a function,
*Journal for Research in Mathematics Education, 31*(3), 258–276.CrossRefGoogle Scholar - Tall, D. (1980). Mathematical intuition, with special reference to limiting processes.
*Proceedings of the Fourth International Congress on Mathematical Education*, Berkeley, 170–176.Google Scholar - Tall, D. (2001). Natural and formal infinities.
*Educational Studies in Mathematics, 48*, 199–238.CrossRefGoogle Scholar - Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity.
*Educational Studies in Mathematics, 12*, 151–169.CrossRefGoogle Scholar - Tsamir, P., & Tirosh, D. (2002).
*Intuitive beliefs, formal definitions and undefined operations: Cases of division by zero*. In G. Leder, E. Pehkonen, & G. Törner (Eds.),*Beliefs: A hidden variable in mathematics education?*(pp. 331–344), Dordrecht: Kluwer Academic Publishers.Google Scholar - Vinner, S. (1991). The role of definitions in the teaching and learning of mathematics. In D. Tall (Ed),
*Advanced mathematical thinking*(pp. 65–81). Dordrecht: Kluwer Academic Publishers.Google Scholar - Williams, S. (1991). Models of limit held by college calculus students.
*Journal for Research in Mathematics Education, 22*(3), 219–236.CrossRefGoogle Scholar

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© Mathematics Education Research Group of Australasia Inc. 2005