Cognitive component of educational mathematical projects in basic secondary education

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The study reveals certain aspects of the cognitive component of educational mathematics projects in basic secondary education. In accordance with the objective, the study reveals the essence of the cognitive component: it is the process and result of acquiring and meaningfully applying the knowledge and skills obtained through mental processes during the mastery of basic secondary education in the field of mathematics. The content of the cognitive component consists of a set of theoretical and practical mathematical knowledge. The methodology for developing the cognitive component of educational mathematics projects in basic secondary education is based on a systematic approach and the appropriate use of a range of methods. An important feature of the content of the cognitive component is its systematic nature and reflection of the latest achievements in mathematics. Attention is drawn to the importance of focusing on the hypothetical-deductive method of cognition. This method of cognition is characteristic of students in basic secondary education. It is noted that it is important in mathematics teaching projects to ensure, through the content and organization of work, the formation of students' ability to effectively solve problems and apply knowledge in non-standard situations. Research results. Methodological support for the cognitive component of educational mathematics projects in basic secondary education involves active learning content. Such content is developed taking into account the idea of incidental learning stimuli in the educational and cognitive activities of basic school students. The organizational elements of the cognitive component of educational projects in mathematics have been identified: the involvement of the teacher as a coach, the balance between cognitive load and lesson productivity, the phased use of the effects of internal cognitive load (lack of a specific goal, divided attention, a worked-out example, hypothetical perception, partial solution; memory segmentation in the architecture of searching for new information, modality, assertiveness. The prospect for further development of the problem is defined as the expansion and characterization of the advantages and challenges of the effects of internal cognitive load during the development and implementation of project and research work in mathematics lessons in basic secondary education. It is also proposed to create cases of successful educational projects for basic secondary school students within the framework of the STEM model program.

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