Fostering prospective mathematics teachers’ conceptions of definite integral in the context of engineering design activities: A design experiment

Cansu, Ümmügülsüm
The aim of the current study is to investigate the pre-service mathematics teachers’ developments in the concept images about integral through design experiment that was designed engineering design process activities. In this design experiment, a sequence of engineering design process activities was developed, tested, and evaluated in a real classroom environment in two cycles. Data were collected from three pre-service mathematics teachers enrolled and attending an elective course at a public university in Ankara during the spring semester of 2017-2018. In the data collection process, multiple data collection sources were used. Qualitative methods were used in analyzing the data. On the other hand during the analyzing the data a new method was used which is linkograph. The linkograph enabled the researcher to see that what processes students went through while constructing a concept individually and within a group and how they constructed it. In this way, the stages of students’ process of reaching mathematically accurate concept images were analyzed in more detail. moreover, thanks to the linkograph, students were visualized where and after which event and which link they made. The data indicated that pre-service mathematics teachers various concept images such as partial-primitive, discrete, and hybrid concept images. In the progress of the design experiment sessions, significant improvements were observed in pre-service mathematics teachers’ concept images about integral. Namely, they developed mathematically accurate concept images about integral. Furthermore, they enriched their concept images about integral. Moreover, engineering design process activities provided them to experience mathematics in real-life applications. In this way their interpretation of the authentic problems and solving them become easier. The data also showed that engineering design process activities promoted pre-service mathematics teachers contextual understanding about integral and its sub-concepts


Experience reflection modelling as a generative research method in an educational case for sustainable product design
Turhan, Senem; Doğan, Çağla (2014-01-01)
A generative research method, namely Experience Reflection Modelling (ERM), has been developed aimed at helping students explore and reflect upon design considerations for sustainability in the idea generation phase of a design process. ERM has been integrated into a product design for sustainability project as part of the design education in the Department of Industrial Design at Middle East Technical University. This paper begins by providing an overview of the generative research approach, explaining its...
Development of stem activities for high school physics classes
Kartal, Nurgün; Eryılmaz, Ali; Department of Secondary Science and Mathematics Education (2021-1-06)
The purpose of this study is to develop STEM Engineering Design Process (STEM-EDP) activities for 10th and above grade levels by using an ADDIE instructional design model.When the literature wasreviewed in detail, it was very rareSTEM-EDPactivities which are developed based on systematic models. Therefore, the characteristics of STEM activities were formed bythe basis of ADDIE model. Also, for the implementation processes of the STEM activities, 7-step EDP modelwas used. As a r...
Integration of Generative Research and Sustainability into the Product Design and Development Process
Turhan, Senem; Doğan, Çağla (null; 2012-07-05)
To explore the relationships between the generative research and design for sustainability at the idea generation phase of the design process, a design research method that emerges from generative research approach “Experience Reflection Modeling” (ERM) has been developed and integrated into a design for sustainability project within the context of design education in the Department of Industrial Design at the Middle East Technical University (METU). The ERM method brings together 3D modelling, interview an...
Transforming and prolonging design lifespans: design education cases for sustainability
Doğan, Çağla (2017-11-10)
This paper aims to present an approach focusing on design education for sustainability through providing two exemplary cases from third-year industrial design projects. The main themes explored in these projects involve personalization via design transformation, adaption and upgrading during design, use and post-use phases. The first project developed and facilitated at Carleton University, the School of Industrial Design mainly addresses the key theme of transformation of LED lighting from indoors to outdo...
The position of three-dimensional modeling and visualization techniques in industrial design education
COŞKUN, MERVE; Akiner, Dilem (2012-05-04)
The purpose of this research is to determine the position of three-dimensional modeling and digital visualization within the scope of concept and product development process in the undergraduate education in Middle East Technical University Faculty of Architecture Department of Industrial Design, designate the problems that the students encounter during the integration of these methods to the design process, and finally question how these methods can be incorporated into design education in order to influen...
Citation Formats
Ü. Cansu, “Fostering prospective mathematics teachers’ conceptions of definite integral in the context of engineering design activities: A design experiment,” Ph.D. - Doctoral Program, Middle East Technical University, 2021.