Investigation of the use of dynamic geometry with using the instrumental formation approach in transformation geometry teaching

The purpose of this study is to investigate the basic elements of the instrumental processes such as artefact, instrument, schema-technical dimension, instrumentation-instrumentalization processes and orchestration types which a mathematics teacher uses to integrate technology into the mathematics lessons and to examine the teacher's awareness of this purpose. Qualitative research methods have been used for the purpose of the study. It is based on a case-study pattern which is thought to be a good guide in determining the techniques and interpreting the findings. A working group has been identified with purposeful sampling method that will serve the researcher and enable in-depth review in such a way to ensure that the results obtained are clear. The study was conducted for a secondary school mathematics teacher in accordance with the criteria of purposeful sampling. Multiple data collection tools have been used in this study to provide data diversity and get a precise answer to the research questions. It is known that the learning environment created by dynamic geometry supports the development of interpretation and reasoning skills of students. Reflexion and translation which of them are subjects from transformation geometry and the concept of parity which will form the basis for learning these subjects has an important role in the middle school curriculum. The teacher will provide opportunity for students to make sense the multiple representations in the dynamic geometry environment and the connection between these topics to be established in a dynamic way. The teacher, who will organize the environment and facilitate the understanding of the students, should organize the environment by exploring the complex structures of the technological learning environment, analyzing the learning processes and considering many factors. In this point the instrumental formation approach helps to the teacher to organize a teaching environment by organizing the technological formation, and allows the teacher to shape the process of formation of the students. The results of the research that aiming to examine by considering the schemes, instrumentation-instrumentalization process and the instrumental orchestration in the regulation of the technology teaching environment, an increase is observed in both the experience during the teacher's study of technology integration into teaching environment and the technical-conceptual dimension of the instrumental formation. On the other hand, the results show that the teacher has used teacher-centered orchestrations frequently, which are traditional methods while she has never used some of the student-centered orchestras and rarely used some. In the other dimension of the research, while the awareness of the teacher about formation has been examined, some of the structures are formed consciously; for some, awareness has been gained by the video recording of the lessons that teacher has watched. Key words: Instrumental formation, Instrumental orchestration, Dynamic geometry, Transformation geometry.