Abstract
. The main goal of the authors conducting this research is to enhance students' research skills through integrated tasks. The study aimed to develop skills such as creating hypotheses, modeling, problem identification and solution finding, proofing, evaluating mathematical relationships and dependencies, and generalizing results. This research assists teachers in preparing challenging tasks aligned with learning objectives, catering to students' abilities and needs during the learning process. It also aims to translate and advance the experience of fostering deep understanding by developing students' skills in problem identification and solution finding. Throughout the research, the works of both Kazakh and foreign scientists were utilized. For instance, Felton M. provided comprehensive instruction at the University of Arizona, while Kozhabaev K. contributed to methods of teaching mathematics in Almaty. The concept map tool proposed by Joseph Nowak, a scholar from Cornell University, was employed to analyze interdisciplinary communication in the 1970s. Additionally, the method of "systematic observation of teaching and learning" was utilized to obtain the necessary diagnostic information for the study. The research also utilized the results of the Howard Gardner Intelligence Test, which was conducted by school psychologists. The findings of this research indicated that the research skill of knowledge formation in the subject area had a positive impact on enhancing the quality of complex tasks.
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