@article {MATHEDUC.06151269, author = {Bessenyei, Dorottya}, title = {The theory of functional equations in high school education.}, year = {2012}, journal = {Teaching Mathematics and Computer Science}, volume = {10}, number = {2}, issn = {1589-7389}, pages = {345-360}, publisher = {,}, abstract = {Summary: In this paper, we discuss some possible applications 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, although their demonstrations in high school can show a new way in teaching talented students. The area of an rectangle, the calculating method of compound interest, binomial coefficients, Euler's formula, the scalar product and the vector product -- we are looking for the reasons behind this well-known formulas. Finally, we are going to give a functional equation in connection with mean values. It can be easily understood, but its solution is beyond the high school curriculum, so we advise this part only to the most talented students.}, msc2010 = {I74xx (G74xx D34xx)}, identifier = {2013b.00726}, }