The effect of Dynamic and Interactive Mathematics Learning Environments (DIMLE), supporting multiple representations, on perceptions of elementary mathematics pre-service teachers in problem solving process

Abstract

Mathematics is an important discipline, providing crucial tools, such as problem solving, to improve our cognitive abilities. In order to solve a problem, it is better to envision and represent through multiple means. Multiple representations can help a person to redefine a problem with his/her own words in that envisioning process. Dynamic and Interactive Mathematics Learning Environments (DIMLE), allow multiple representations in mathematics and therefore provide opportunities to explore, to explain, and to model (Karadag & McDougall, 2009) mathematical subjects or concepts. The goal of this study is to explore the effect of multiple representations on perceptions of elementary mathematics pre-service teachers in problem solving process. Hence, ten representations, which dynamically represent a word problem, are created by using one of the DIMLE, GeoGebra. The sample group consists of elementary mathematics pre-service teachers (n=17). In order to precisely analyze the data, which are gathered from sample group, quan-qual mix method was used. Consequently, the use of multiple representations, which were prepared by DIMLE, cause to a mental demand for the other mathematical concepts except for understanding and solving a problem.

Teaching Transformations of Trigonometric Functions with Technology

“…Previous studies have shown that students who are unable to change between multiple representations have difficulty in trigonometry (Kendal & Stacey 1998;Weber 2005). Positive results have been seen from using dynamic, interactive technology in trigonometry classrooms (Wilhelm & Confrey 2005), especially technology that incorporates MERs (Özdemir & Ayvaz Reis 2013). Together, these results suggest that a dynamic, interactive technology which uses MERs may be helpful for students learning trigonometry.…”

Efficiency of Dynamic Computer Environment in Learning Absolute Value Equation

“…GeoGebra is a visual-dynamic and interactive software that enables creativity in the implementation of modern methodological approaches in teaching [64]. In such a dynamically and interactive environment, the student develops visualization skills and increases conceptual understanding [65,66]. GeoGebra, easily accessible via the website [67], provides a mathematics learning environment that assimilates different mathematical representations [63].…”

Pre-Service Mathematics Teachers’ Problem Solving Processes with Geometer’s Sketchpad: Mirror Problem

“…In addition to studies conducted to K-12 students, mentioning about the studies with pre-service mathematics teachers as participants plays crucial role in emphasizing the significance of the present study. For example, Özdemir and Reis (2013) also indicated that using dynamic software allowed to present multiple representations in solving problems. This influenced mathematics pre-service teachers' perceptions about problem solving processes in positive way (Özdemir & Reis, 2013).…”

“…For example, Özdemir and Reis (2013) also indicated that using dynamic software allowed to present multiple representations in solving problems. This influenced mathematics pre-service teachers' perceptions about problem solving processes in positive way (Özdemir & Reis, 2013). Moreover, Çiftçi and Tatar (2014) compared the achievement levels of pre-service mathematics teachers' fundamental geometry constructions.…”