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ANALYSIS OF THE DEVELOPMENT OF PROBLEM-SOLVING ABILITIES IN FUTURE HIGH SCHOOL STUDENTS (ON THE EXAMPLE OF APPLICANTS OF PREPARATORY COURSES AT THE NATURAL SCIENCE LYCEUM OF PETER THE GREAT SPBPU)

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PDF: Author(s): Ezhova N. V., Snegurova V. I,
Number of journal: 3(72) Date: September 2025
Annotation: The article is devoted to the problem of analyz- ing the development of ninth­graders’ problem­solving skills in order to identify current difficulties that hinder their fur- ther education. The ability to solve problems (not only math- ematical, but also chemical, physical, and economic) is a key component of educational preparation. The article presents an analysis of the level of development of problem­solving skills among 9th­graders of various St. Petersburg schools who studied in preparatory courses at the Natural Science Lyceum of Peter the Great St. Petersburg Polytechnic University. The study highlights cognitive processes that affect students’ ability to analyze the problem statement, identify its key elements, and build a logical sequence of actions for its successful solution. The purpose of the study is to identify typical difficulties that schoolchildren encounter when solving various mathematical problems, as well as to develop recommendations for teachers to improve the effectiveness of teaching this skill. The role of motivation, individual characteristics of material perception, and the experience of independent activity of students is indi- cated. The research methodology includes complex diagnostic measures, such as testing, interviews and observation of the problem solving process in natural conditions of the educa- tional process, a comparative analysis of the result of entrance examinations for several periods is provided. The results of the study show that a significant part of ninth­graders has difficulties in solving problems which require the applica- tion of theoretical knowledge in non­standard situations. The most common problems are: insufficient understanding of the problem statement, inability to identify key elements, errors in choosing a solution strategy and poor knowledge of algo- rithmic techniques. The obtained results allow us to conclude that it is necessary to change approaches to teaching prob- lem solving, taking into account the peculiarities of modern adolescents` thinking and the individual characteristics of each student. The article may be of interest to mathematics teachers, students of pedagogical universities, as well as any specialists interested in improving the quality of education of high school students.
Keywords:

peculiarities of adolescents’ thinking, mathemat- ics, problem, mathematical problem, classification of problems, types of problems, problem solving, teaching mathematics, anal- ysis of problem­solving skill, methods of teaching mathematics

For citation:

Snegurova V. I., Ezhova N. V. Analysis of the development of problem-solving abilities in future high school students (on the example of applicants of preparatory courses at the Natural Science Lyceum of Peter the Great SPbPU). Biznes. Obrazovanie. Pravo = Business. Education. Law. 2025;3(72):379—387. DOI: 10.25683/VOLBI.2025.72.1346.