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RESEARCH PAPER
Classification of open mathematical problems and their role in academic achievement and motivation of students
1
L.N. Gumilyov Eurasian National University, Nur-Sultan, KAZAKHSTAN
2
Vyatka State University, Kirov, RUSSIA
3
Ogarev Mordovia State University, Saransk, RUSSIA
4
Peoples' Friendship University of Russia (RUDN University), Moscow, RUSSIA
5
Plekhanov Russian University of Economics, Moscow, RUSSIA
6
I.M. Sechenov First Moscow State Medical University, Moscow, RUSSIA
7
Kazan (Volga region) Federal University, Kazan, RUSSIA
Publication date: 2022-07-25
EURASIA J. Math., Sci Tech. Ed 2022;18(8):em2143
KEYWORDS
ABSTRACT
Problems of developing subject education and science have become more acute during different social
changes. The most problematic is the teaching of exact disciplines, including mathematical disciplines
(mathematics, algebra, geometry), which form knowledge for working in high-tech industries. It is worth
noting that the methodology of teaching mathematics has accumulated a large unsystematized portfolio of
new techniques and methods. Thus, open problems aimed at developing students’ creativity are used more
actively in the lessons. Tasks that require students to use non-standard approaches to the solution affect
academic success. But a teacher of mathematics needs to have a classification of problems in the educational
process to choose tasks of an open type correctly. In this regard, the article deals with substantiating the
classification of open problems for teaching mathematical disciplines and developing methodological
guidelines for lessons that help increase learning motivation and academic achievement of students. The
leading research methods are the following: observation of teachers’ methodological work, talks with
teachers, analysis of methodological developments, educational documentation and teachers’ surveys.
Statistical processing of the results using Wilcoxon W test. In 2020-2021 the authors carried out an
experiment with 358 students from 16 classes. Based on its results, the authors of the article have identified
a classification of open problems for teaching mathematical disciplines; developed and implemented
methodological guidelines for lessons of mathematics that contribute to developing students’ creativity in
the academic progress. The authors evaluated the effectiveness of using the selected classification of open
problems for teaching mathematical disciplines. They concluded about the increase of group motivation
among students and academic performance in mathematical disciplines. The practical use of the
classification of open problems allows the teacher to differentiate educational problems in mathematics,
taking into account the relationship between their logical structure and the level of ability achieved by the
student to solve problems in mathematics. Methodological guidelines developed by the authors can be used
to help increase the learning motivation and academic achievement of students while preparing for
mathematics lessons.
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| eISSN: | 1305-8223 |
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