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Pre-service mathematics teachers' conceptions about the relationship between continuity and differentiability of a function

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dc.contributor.author Duru, Adem
dc.contributor.author Köklü, Önder
dc.contributor.author Jakubowski, Elizabeth
dc.date.accessioned 2022-04-12T07:47:27Z
dc.date.available 2022-04-12T07:47:27Z
dc.date.issued 2010
dc.identifier.issn 1992-2248
dc.identifier.uri http://dspace.adiyaman.edu.tr:8080/xmlui/handle/20.500.12414/2771
dc.description.abstract Our purpose in this paper is to investigate and show how pre-service mathematics teachers think about the continuity and differentiability of functions given in the form of both graphical and symbolic representations and how they link these two basic and important calculus concepts. The study was conducted in two phases. First, the participants were asked to complete several tasks involving determination of whether a function is continuous or not, at given points and the differentiability of the function at those points. Second, in light of the collected data, clinical interviews were done with several students in order to better understand their thinking and reasoning. Analysis of both quantitative and qualitative data revealed some junctions in the findings of this study. From these two sources of data, we were able to construct a picture of the students' conceptual link between continuity and differentiability of a function. The results confirmed that students demonstrated difficulties determining the continuity and differentiability of a functions at given points and making connections between limit, continuity and differentiability both in symbolic and graphical representations. tr
dc.language.iso en tr
dc.publisher Academic Journals tr
dc.subject Continuity tr
dc.subject Differentiability tr
dc.subject Limit tr
dc.subject Function tr
dc.subject Misconception tr
dc.subject Misunderstanding tr
dc.title Pre-service mathematics teachers' conceptions about the relationship between continuity and differentiability of a function tr
dc.type Article tr
dc.contributor.authorID 0000-0001-6951-1421 tr
dc.contributor.department Usak Univ, Fac Educ, Dept Primary Educ, Math Educ Program tr
dc.contributor.department Adiyaman Univ, Fac Educ, Dept Primary Educ, Math Educ Program tr
dc.contributor.department Florida State Univ, Coll Educ, Dept Middle & Secondary Educ tr
dc.identifier.endpage 1529 tr
dc.identifier.issue 12 tr
dc.identifier.startpage 1519 tr
dc.identifier.volume 5 tr
dc.source.title Scientific Research And Essays tr


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