The article discusses the methods of developing research skills among future teachers of mathematics and physics in the process of studying analytical and projective geometry at the university using interactive learning tools. Let us note that research competencies are a component of the professional competencies of bachelors in the areas of training “Mathematics” and “Mathematics and Physics”. Therefore, in the course of the study, we developed and tested the educational and methodological complex “Analytical and Projective Geometry” using interactive programs, and also proposed methods, forms and criteria for assessing the research abilities of future mathematics and physics teachers. Methods of problem-based learning, practice-oriented learning, methods of analysis and synthesis, and observation methods were used. The relevance of the research topic lies in the problem of developing the research skills of future mathematics and physics teachers, and their use of such interactive programs as living geometry and geogeography can be used by them to create a research lesson. The methodological approach to teaching analytical and projective geometry presented in the article was implemented in the educational process in the course of “Analytical and projective geometry” in Pavlodar Pedagogical University named after A.Margulan during training of future bachelors of “Mathematics”, “Mathematics and Physics” and allowed to achieve positive results in teaching.