Applıcatıon Desıgns to Measure the Mathematıcal Reasonıng Skılls of Teacher Candidates

Abstract

Mathematical reasoning can be defined as the ability of individuals to approach situations they encounter from a mathematical perspective, to investigate the cause and effect, to make sense of the situation, and to make reasoning that will help reach a logical conclusion by using mathematical concepts and symbols. The purpose of the research is to evaluate the mathematical application designs of primary school teacher candidates studying at Khoja Akhmet Yassawi International Kazakh-Turkish University in order to measure the mathematical reasoning skills of primary school students. For this purpose, at the primary school level, teacher candidates will be asked to (a) identify and use appropriate reasoning, (b) recognize and use mathematical knowledge / patterns / structures / general properties, (c) recognize different representations of the same data, (d) predict, (e) Developing logical arguments regarding the solution, (f) Deciding on the correctness of the solution/result, (g) Making generalizations, and (h) Solving non-routine problems. In this respect, the research was designed in the case study pattern, one of the qualitative research methods. The study group of the research includes a total of 16 teacher candidates representing different grade levels. Typical case sampling method was used to select the teacher candidates in the study group. Pre-service teachers were asked to develop application designs in which they could evaluate the mathematical reasoning sub-dimensions mentioned above. In the research, the theoretical framework was scanned, and an application was carried out to 16 teacher candidates and at the end of the application, the teacher candidates were able to design questions for all their reasoning skills. When the questions they prepared were evaluated, it was seen that the question objectives met some of those stated in the literature.