
06297492
a
2014c.00748
PittaPantazi, Demetra
Christou, Constantinos
Zachariades, Theodossios
Students' understanding of the monotonicity of exponential functions.
Lindmeier, Anke M. (ed.) et al., Proceedings of the 37th conference of the International Group for the Psychology of Mathematics Education ``Mathematics learning across the life span", PME 37, Kiel, Germany, July 28August 2, 2013. Vol. 4. Kiel: IPNLeibniz Institute for Science and Mathematics Education at the University of Kiel (ISBN 9783890882901). 3340 (2013).
2013
Kiel: IPNLeibniz Institute for Science and Mathematics Education at the University of Kiel
EN
I24
D74
exponential functions
monotonicity
students difficulties
Summary: The purpose of this study is to describe and analyse a model for students' transition from comparing exponents to the monotonicity of exponential functions within the context of operational and structural processes. The study was conducted with 193 11th grade students with the use of a test. The findings suggest that in this transition there are three phases, which are described in terms of Sfard's threephase theory, interiorization, condensation and reification. Students' various difficulties emerged during this transition which are described and discussed.