How the derivative becomes visible

A tétel rövid nézete
dc.contributor.authorHähkiöniemi, Markus
dc.date.accessioned2024-09-04T09:45:35Z
dc.date.available2024-09-04T09:45:35Z
dc.date.issued2007-06-01
dc.description.abstractThis paper reports how an advanced 11th-grade student (Daniel) perceived the derivative from a graph of a function at a task-based interview after a short introduction to the derivative. Daniel made very impressive observations using, for example, the steepness and the increase of a graph as well as the slope of a tangent as representations of the derivative. He followed the graphs sequentially and, for example, perceived where the derivative is increasing/decreasing. Gestures were an essential part of his thinking. Daniel's perceptions were reflected against those of a less successful student reported previously [Hähkiöniemi, NOMAD 11, no. 1 (2006)]. Unlike the student of the previous study, Daniel seemed to use the representations transparently and could see the graph as a representation of the derivative.en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 5 No. 1 (2007) , 81-97
dc.identifier.doihttps://doi.org/10.5485/TMCS.2007.0140
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue1
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/379598
dc.identifier.volume5
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/14788
dc.rights.accessOpen Access
dc.rights.ownerMarkus Hähkiöniemi
dc.subjectcase studyen
dc.subjectderivativeen
dc.subjectembodied worlden
dc.subjectgestureen
dc.subjectgraphen
dc.subjectrepresentationen
dc.subjecttransparencyen
dc.titleHow the derivative becomes visibleen
dc.typefolyóiratcikkhu
dc.typearticleen
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Teaching Mathematics and Computer Science (DE-journals)