This research proposes theoretical and methodological recommendations that would develop search and research skills applied by prospective math teachers while teaching a course on mathematical physics equations. The research findings include the firstever attempt to set up and solve the challenge of developing students' search and research skills when being taught a course on mathematical physics equations through a specially developed methodology. The authors propose a structural content model of search and research skills, and define the types of mathematical problems that facilitate the development of search and research skills used by prospective math teachers when teaching a course on mathematical physics equations.

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This study aimed to create students’ research skills by solving problems in teaching mathematics in primary school classes and was designed according to this purpose. In this context, it is aimed to conduct a study on teaching mathematics to primary school students. The research was created and implemented in the 2021–2022 spring academic year. 296 primary school students voluntarily participated in the research. In the research, problem-solving training in mathematics teaching was given to the students participating in the study in the form of a 2-week online education. To collect data in the study, the ‘mathematics and problem-solving’ data collection tool, which was developed by the researchers and whose validity and reliability were obtained, was used. The data collection tool used in the research was delivered and collected by the online method. The analysis of the data was made by using the Statistical Package for the Social Sciences programme, frequency analysis and t-test, and the results were added to the research in the presence of tables. As a result of the research, it is seen that primary school students’ problem-solving situations improved with mathematics teaching and they enjoyed these methods and achieved positive results. Keywords: Primary school students, teaching mathematics, problem-solving, distance education;