theory of functional equations in high school education

A tétel rövid nézete
dc.contributor.authorBessenyei, Dorottya
dc.date.accessioned2024-09-04T09:46:47Z
dc.date.available2024-09-04T09:46:47Z
dc.date.issued2012-12-01
dc.description.abstractIn this paper, we are going to discuss some possible applications of the theory of functional equations in high school education. We would like to line up some problems, the solution of which by functional equations are mostly not new results – they have also been treated in [1] and [2] –, although their demonstrations in high school can show a new way in teaching of talented students. The area of the rectangle, the calculating method of compound interest, binomial coefficients, Euler's formula, the scalar product and the vector product of vectors – we are looking for the reasons behind the well-known formulas. Finally, we are going to give a functional equation in connection with mean values. It can be understood easily, but its solution is beyond the high school curriculum, so we advise this part only to the most talented students.en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 10 No. 2 (2012) , 345-360
dc.identifier.doihttps://doi.org/10.5485/TMCS.2012.0310
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue2
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/379731
dc.identifier.volume10
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/14921
dc.rights.accessOpen Access
dc.rights.ownerDorottya Bessenyei
dc.subjectfunctional equationsen
dc.subjecthigh school educationen
dc.subjectarea of the rectangleen
dc.subjectcompound interesten
dc.subjectbinomial coefficienten
dc.subjectEuler's formulaen
dc.subjectscalar producten
dc.subjectvector producten
dc.subjectarithmetic-geometric meanen
dc.titletheory of functional equations in high school educationen
dc.typefolyóiratcikkhu
dc.typearticleen
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Teaching Mathematics and Computer Science (DE-journals)