Abstract:The aim in this study; DNR based instruction developed for teaching and learning mathematic both application in science education and development of scientific understanding and ways of thinking of gifted students with this instruction. 3 students diagnosed gifted and enrolled in Cevat Dursunoğlu Science and Art Center are composed of the sample of the study. DBT , semi-structured interviews, voice recordings and individual student reports were used to obtain data. In order to analyze data obtained from the study descriptive analysis of qualitative data analysis methods was used. While fragmented and superficial ways of understanding reach a scientific level after study; ways of thinking to develop from object-oriented to system oriented, common sense constraints to explicit theoretical constraints, one dimensional to multi-dimensional.
SummaryPurpose and Significance: Gifted individuals who are quick to grasp new concepts that are abstract and complex for their classmates and possess high concentration (Winebrenner, 2000) power should be trained and assigned in the direction of their talents and interests (Cooper, Baum & Neu, 2004). For this reason, effective teaching methods should be used for these students to think like scientists and to understand the nature of science (Roberts, 2001), and effective problem solving, especially thinking about new problem situations (Watters & Diezmann, 2003), the ability to organize and combine knowledge (Stott & Hobden, 2016). For this purpose, DNR based instruction can be used as a theoretical framework that enables students to develop conceptual knowledge through problem solving (Duffy, 2006). EGS consists of premises, foundational concepts and instructional principles. These premises of Descriptive analysis of qualitative data analysis methods was used in order to examine in depth the data gathered with 3 students' situation determination test (DBT), interviews, individual student reports, voice recordings. In the analysis part of the data the themes were used to reveal the ways of understanding Ursavaş (2014) and Maskiewicsz (2006) for ways of thinking.Results: It was observed that students had fragmanted and superficial ways of understanding in the light of answers obtained from DBT and interviews before the applications. It has been observed that all three students have developed a scientific and deepened ways of understanding after the applications. The ways of thinking which are revealed with the help of the ways of understanding and which have a long process to be changed are very resistant to change and difficult to change (Duffy, 2006;Maskiewicz, 2006). For this reason, the focus has been on developing a specific issue while changing the ways of thinking throughout the application.Prior to the applications, students used the one-dimensional thinking, perception-based constraints and object-oriented thinking while answering questions about the immune system.After the applications, it has been observed that, in general, there is a development from single d...