Misconceptions and Alternative Conceptions in Mathematics Education
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The term “misconception” implies incorrectness or error due to the prefix “mis.” However its connotation never implies errors from a child’s perspective. From a child’s perspective, it is a reasonable and viable conception based on their experiences in different contexts or in their daily life activities. When children’s conceptions are deemed to be in conflict with the accepted meanings in mathematics, the term misconceptions has tended to be used. Therefore some researchers or educators prefer to use the term “alternative conception” instead of “misconception.” Other terms sometimes used for misconceptions or terms related to misconceptions include students’ mental models, children’s arithmetic, preconceptions, naïve theories, conceptual primitives, private concepts, alternative frameworks, and critical barriers.
Some researchers avoid using the term “misconceptions,” as they consider them as misapprehensions and partial comprehensions that develop and change over the...
KeywordsUnderstanding Learning Constructivism Cognitive models Child’s perspective Cognitive conflict Child’s conceptions
- Confrey J (1987) Misconceptions across subject matter: science, mathematics and programming. In: Novak JD (ed) Proceedings of the second international seminar: misconceptions and educational strategies in science and mathematics. Cornell University, Ithaca, pp 81–106Google Scholar
- Confrey J, Kazak S (2006) A thirty-year reflection on constructivism in mathematics education in PME. In: Gutierrez A, Boero P (eds) Handbook of research on the psychology of mathematics education: past, present and future. Sense, Rotterdam, pp 305–345Google Scholar
- Davis R (1976) The children’s mathematics project: the syracuse/illinois component. J Child Behav 1:32–58Google Scholar
- Erlwanger S (1975) Case studies of children’s conceptions of mathematics: 1. J Child Behav 1(3):157–268Google Scholar
- Ginsburg H (1976) The children’s mathematical project: an overview of the Cornell component. J Child Behav 1(1):7–31Google Scholar
- Ryan J, Williams J (2007) Children’s mathematics 4–15: learning from errors and misconceptions. Open University Press, MaidenheadGoogle Scholar
- Stacey K (2005) Travelling the road to expertise: a longitudinal study of learning. In: Chick HL, Vincent JL (eds) Proceedings of the 29th conference of the international group for the psychology of mathematics education, vol 1. University of Melbourne, Melbourne, pp 19–36Google Scholar
- Takahashi A (2006) Characteristics of Japanese mathematics lessons. Tsukuba J Educ Stud Math 25:37–44Google Scholar
- Watson JM (2011) Foundations for improving statistical literacy. Stat J IAOS 27:197–204. doi:10.3233/SJI20110728Google Scholar