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General thinking activities in the algebra classroom
2 Novosibirsk State Pedagogical University, Novosibirsk, Russian Federation
Introduction. The article explores the use of general thinking activities for the formation of generic cultural competence - a cultural mediator of contemporary Russian schoolchildren - by means of algebra as a discipline with a wide range of basic types of educational activities. The purpose of the article is to reveal the scientific and pedagogical functions of general thinking activities which contribute to the process of developing generic cultural competence, and to summarize the experience of using such activities in the algebra classroom aimed at modernization of mathematical education.
Materials and Methods. The authors employed the following research methods: a comparative analysis of theories of teaching mathematics using basic types of learning activities, and creating a cognitive scheme of general thinking activities suitable for teaching algebra.
Results. The basic theories of teaching mathematics, found in publications for the last 3 years, are analyzed. As a result, the following basic functional components of general thinking activities were identified 1) the subject of objective scientific research; 2) an explanatory principle; 3) the subject of management; 4) interdisciplinary value.
Conclusions. On the basis of the obtained results, the authors conclude that for completeness of the pedagogical picture of general thinking it is sufficient to single out its 4 basic functional components. School algebra, which possesses "strong" formal means, provides the operational component to general competence and mathematical culture of students and contributes to the interdisciplinary transfer of the student's thinking experience to another learning situation.
General thinking activity; General thinking competence; Mathematical culture; Modernization of education; Mediator of culture; Functions of general thinking activity; Theory of teaching mathematics; Basic types of educational activities
93.371 Linear Algebra | Mathematics Education | Computer Algebra System
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