Show simple item record

dc.contributor.authorZachariades, Theodosisen
dc.contributor.authorChristou, Constantinosen
dc.contributor.authorPitta-Pantazi, Demetraen
dc.creatorZachariades, Theodosisen
dc.creatorChristou, Constantinosen
dc.creatorPitta-Pantazi, Demetraen
dc.date.accessioned2017-07-27T10:43:16Z
dc.date.available2017-07-27T10:43:16Z
dc.date.issued2012
dc.identifier.urihttps://gnosis.library.ucy.ac.cy/handle/7/38681
dc.description.abstractThe aim of this paper is to propose a theoretical model to analyze prospective teachers' reasoning and knowledge of real numbers, and to provide an empirical verification of it. The model is based on Sierpinska's theory of theoretical thinking. Data were collected from 59 prospective teachers through a written test and interviews. The data indicated that mathematical tasks on real numbers, based on Sierpinska's theory, could be categorized according to whether they require reflective, systemic or analytic thinking. Analysis of the data identified three different groups of prospective teachers reflecting different types of theoretical thinking about real numbers. The interviews confirmed the empirical data from the written test, and provided a better insight into the thinking and characteristic features of the prospective teachers in each group. The analysis also indicated that the participants were more successful in tasks requiring systemic and analytic thinking, and only when this was achieved were they able to solve problems which required reflective thinking. Implications for teaching related to the findings of the study are discussed. © 2012 Springer Science+Business Media B.V.en
dc.sourceEducational Studies in Mathematicsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84871094176&doi=10.1007%2fs10649-012-9413-y&partnerID=40&md5=8ef95872be9abd868eb19209df0ef8e8
dc.titleReflective, systemic and analytic thinking in real numbersen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1007/s10649-012-9413-y
dc.description.volume82
dc.description.issue1
dc.description.startingpage5
dc.description.endingpage22
dc.author.facultyΣχολή Κοινωνικών Επιστημών και Επιστημών Αγωγής / Faculty of Social Sciences and Education
dc.author.departmentΤμήμα Επιστημών της Αγωγής / Department of Education
dc.type.uhtypeArticleen
dc.description.notesCited By :1en
dc.source.abbreviationEduc.Stud.Math.
dc.source.otherScopusen
dc.contributor.orcidChristou, Constantinos [0000-0002-5901-5931]
dc.contributor.orcidPitta-Pantazi, Demetra [0000-0002-9580-5674]
dc.gnosis.orcid0000-0002-5901-5931|0000-0002-9580-5674


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record