A STUDY ON THE PRE-SERVICE ELEMENTARY MATHEMATICS TEACHERS' KNOWLEDGE ON THE CONVERGENCE AND DIVERGENCE OF SERIES IN THE CONTEXT OF THEORETICAL AND APPLICATION

Abstract

The focus of this research is the examination of theoretical and practical knowledge about the convergence and divergence of the series. In line with the research focus, the pre-service mathematics teachers on the convergence and divergence of the series with the help of the real-life problem in the context of theory and application using the concept of harmonic series. The research was guided by a qualitative method, case study. The research data consisted of two written questions and a problem and four interview questions that were formed by the researchers and their validity and reliability were ensured. The study concluded that pre-service mathematics teachers have theoretical knowledge about the convergence of series and harmonic series, their perception of series, harmonic series, the concepts of convergence and divergence changed in the application process and adopted different approaches to problem solving.