Abstract
The article considers the problem of development of cognitive activity of students in mathematics lessons. The peculiarities of the use of the formative system of assessment in the process of teaching mathematics with the use of computer tools in the context of the tasks of personality-oriented learning. The main risk factors for increasing the mathematical anxiety of students are identified. The pedagogical factors of motivation development and increase of interest in learning, development of mathematical thinking and reduction of mathematical anxiety due to the development of methods to increase the clarity of learning and cognitive activity of students related to the use of computer tools are substantiated. The criteria are substantiated and the indicators of assessment of the development of cognitive activity of students of 7‒9 grades of gymnasiums in the process of teaching mathematics with the use of computer tools are distinguished: motives of students learning at school; interest in studying the study of mathematics (algebra and geometry); success in the study of mathematics (algebra and geometry); motivation to study mathematical disciplines; mathematical anxiety. A method of assessing the impact of the use of computer tools to study certain topics and sections of mathematics in grades 7‒9 in general secondary education, which will increase the motivation of students to study the subject and reduce the level of mathematical anxiety of students. The results are presented and the dynamics of the indicators of the experimental influence of the use of computer interactive tools on the motivation of students to study mathematics is analyzed.
 Keywords: personality-oriented learning; mathematical disciplines; mathematical anxiety; pedagogical conditions; mathematics teaching aids; motivation to study mathematics; interactive computer learning tools; success in the study of mathematics.
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