Resumen de Exploring students’ misconceptions of the function concept through problem-posing tasks and their views thereon

Zakieh Parhizgar, Atefe Dehbashi, Peter Liljedahl, Hassan Alamolhodaei

• Many studies have investigated students’ problem-posing activities.

  However, there has not been a strong focus on affective aspects in mathematical problem-posing. Also, students’ understanding of the function concept whilst generating functions has not previously been investigated. This paper investigated students’ misconceptions of the function concept through problem-posing tasks.

  It also delineates students’ views on the problem-posing experiences in a functional context. The participants of this study were 74 female high-school students, of whom six were selected according to their performance on a problem-posing test to air their views. The findings show that problem-posing was a good approach for pinpointing students’ misconceptions about function concept, some of which are presented in this paper. Students’ interviews also indicate that, besides being productive and enjoyable for students, problemposing activities helped them to develop a deeper understanding of the function concept through reflection. Indeed, exploring students’ views in depth made it possible to provide a better analysis of the factors that can inform the effective use of problem-posing in mathematics education