An Exami̇nati̇on of Preservi̇ce Mathemati̇cs Teachers’ Reali̇sti̇c Approaches Wi̇th Di̇vi̇si̇on Wi̇th Remai̇nder (Dwr) Problems

Abstract

The purpose of this study was to investigate prospective mathematics teachers' realistic approaches during problem solving and posing. In advance of this study, pilot study had been implemented to see its necessity. According to findings of pilot study, the current study was required. The current study is a case study of qualitative research methods. 40 mathematics teacher candidates, who study at a state university in Istanbul, participated in this study. Questions were developed by Chen et al. (2005) were used in the study. Descriptive statistics and percent frequency methods were used in data analyzing. As a result, the study was of high importance for prospective teachers to recognize realistic problems.

Should I Learn Division Algorithm?: An Investigation of Elementary Students’ Solution Strategies on Division with Remainder (DWR) Problems

“…DWR problems can be defined as problems that involve a daily life context and are aimed at interpreting the meaning of the remainder obtained in a division problem. A number of researchers have an interest in DWR problems because they are regarded as non-routine problems (Rodríguez, et al 2009;Arıkan & Ünal, 2016) and offer a tremendous potential to help students learn division by sense-making (Li & Silver, 2000;Silver, Shapiro, & Deutsch, 1993). Consider, for instance, a problem that asks how many buses are required for a 350-person trip where the students would travel in 40-person buses.…”

“…As noticed, in all three problems, the number five is divided by four, but different answers are obtained by interpreting the remainder according to the context. Since 90s', many different groups of participants', ranging from young students (Arıkan & Ünal, 2016;Cai & Cifarelli, 2004;Cai & Silver 1995;Cooper & Harries, 2005Guerrero & Riveira, 2001Li & Silver, 2000;Silver, et. al, 1993) to teachers' (Chen, van Dooren, Chen & Verschaffel, 2010;Doğan-Coşkun & Ev-Çimen, 2019b) performance were examined on DWR problems.…”