- Article
Pre-Service Mathematics Teachers’ Transformation Skills: A Focus on Algebraic and Graphical Representations
- Muhammet Doruk and
- Gül Mine Bayram Gün
The aim of this study is to investigate the skills of pre-service mathematics teachers in transforming between algebraic and graphical representations of one- and two-variable relations. This study adopted a qualitative research approach and was designed as a case study. The participants comprised 85 second-year pre-service mathematics teachers enrolled in the department of primary school mathematics education at two state universities in Türkiye. Data was collected in two consecutive phases. In the first phase, the Algebraic-Graphical Representation Skill Form (AGRSF) was administered to the pre-service teachers. The AGRSF included activities that required pre-service teachers to match given graphical representations with their corresponding algebraic expressions and to sketch the graphs of algebraically defined relations. In the second phase, the opinions of eight pre-service teachers were taken with the help of Interview Form (IF). Descriptive analysis was used in the analysis of the data. The findings revealed that pre-service teachers were more proficient in performing matching and graphing tasks involving one-variable relations compared to two-variable relations. It was concluded that the primary source of difficulty in two-variable relations stemmed from negative transfers from one-variable relation experiences. The underlying causes of these negative transfers were examined in detail, and instructional recommendations were proposed to facilitate positive transfers.
5 March 2026





