RETRACTED: The role of applied problems in the training of future mathematics teachers in the 21st century

Abstract

• Improvement of the mathematical education for future teachers of mathematics and, accordingly, the training of students at universities and schools is a national priority task. • The educational process focuses on the application of theoretical knowledge in practical activities with the integrated presentation of disciplines (mathematics + technology + computer science). • The mathematical preparation of both future teachers and school students is one of the key elements of the intellectual development of youth. Improvement of the mathematical education for future teachers of mathematics and, accordingly, the training of students at universities and schools is a national priority task. The purpose of this article is to analyze existing scientific, practical, and theoretical works highlighting the applied problems use in preparing future mathematics teachers to assess the current situation and develop solutions. To disclose the research topic, an analysis of terminological interpretations of the concepts “applied task” and “applied/practical orientation” was carried out; analyzed the impact of the use of applied tasks on a set of competencies; the generalization method was used in the analysis of the usage of pedagogical software in teaching students; using a comparative analysis, provided information on the methodological and subject training of mathematics teachers in higher educational institutions of Ukraine, Poland, Bulgaria and the UK. This analysis demonstrates the interest and understanding by teachers and scientists of the didactic purpose of the applied orientation in teaching mathematics, as well as the use of applied tasks in the learning process. Based on the analysis of the sphere of usage and didactic orientation, author's interpretation of the term “applied problem” is proposed. The author's vision of the role and place of applied problems in the preparation of mathematics teachers is given. Along with the application of applied problems in local mathematical disciplines, there is an inclusion in the curriculum of a separate discipline “Applied Mathematics”.