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  • 1
    Online Resource
    Online Resource
    Kostroma State University ; 2023
    In:  Vestnik of Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics Vol. 28, No. 2 ( 2023-02-28), p. 60-68
    In: Vestnik of Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics, Kostroma State University, Vol. 28, No. 2 ( 2023-02-28), p. 60-68
    Abstract: The article is devoted to the use of the concept of a complex number in a school Mathematics course. Until recently, the topic of complex numbers had not been included in the state final exam, however studied in classes with in-depth study of mathematics. In connection with the introduction of tasks related to this concept into the prospective model of the unified state exam, it is now becoming topical. The article primarily touches upon the analysis of the presentation of material in school textbooks, in particular the concept of a complex number. Then there are several examples of problem solving, which was presented in a promising model of the unified state exam in Mathematics, using both analytical and geometric interpretation of a complex number. In addition, various approaches to solving the problem are shown, both algebraic (estimation method) and geometric (finding the altitude in a triangle, similarity method, methods of analytical geometry) methods, as well as methods of mathematical analysis (finding the largest or smallest value using the derivative). The article also contains some methodological recommendations for preparing on this topic and a system of tasks that can be offered both to teachers in preparing for the exam, and to pupils to consolidate the skill of solving tasks of this type.
    Type of Medium: Online Resource
    ISSN: 2073-1426
    URL: Issue
    Language: Unknown
    Publisher: Kostroma State University
    Publication Date: 2023
    Location Call Number Limitation Availability
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  • 2
    Online Resource
    Online Resource
    Kostroma State University ; 2023
    In:  Vestnik of Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics Vol. 28, No. 3 ( 2023-02-28), p. 51-60
    In: Vestnik of Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics, Kostroma State University, Vol. 28, No. 3 ( 2023-02-28), p. 51-60
    Abstract: The aim of the article is to analyse a number of short answer questions at the unified state examination (higher level) in. The article explores the possibility of solving these tasks by certain categories of pupils who have chosen mathematics examination of higher level. The following research methods were applied – statistical processing of the results of the Unified State Examination (USE), including the so-called ‟unsuccessful” graduates, dynamic analysis of interdependence between test failure rate and various task types. By "unsuccessful" graduates, the authors mean those examinees who, having scored enough to obtain a certificate of secondary general education, nevertheless did not overcome the threshold of set by the Ministry of Science and Higher Education of the Russian Federation for admission to subordinate higher educational institutions. The obtained data allows to conclude that lowering the above-mentioned score threshold is impractical, since relaxation in the requirements will open the gate to applicants unable to attain any academic achievement. Even in case of successful course completion graduates will not have sufficient competency to work, for example, in important areas of economy, in the field of high technology and, moreover, in the field of education, where any gaps in mathematical training is fraught with negative consequences. At the same time, there is a huge personnel shortage, especially in the periphery, where teachers’ salary is several times lower than in the capital's schools. The current situation leads to increased staff turnover in the field of teacher education and a catastrophic reduction in Mathematics teachers able to teach this discipline in secondary schools at an advanced level. The article also emphasises the need to change the scale of conversion of primary USE scores into test scores based on the actual results of the 2022 exam in order to eliminate the competitive advantage of graduates of the previous two years, since the results of the USE are valid for three years.
    Type of Medium: Online Resource
    ISSN: 2073-1426
    URL: Issue
    Language: Unknown
    Publisher: Kostroma State University
    Publication Date: 2023
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
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