KFU. Card publication. Classification of open mathematical problems and their role in academic achievement and motivation of students

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

CLASSIFICATION OF OPEN MATHEMATICAL PROBLEMS AND THEIR ROLE IN ACADEMIC ACHIEVEMENT AND MOTIVATION OF STUDENTS

Form of presentation

Articles in international journals and collections

Year of publication

2022

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Authors, employees of KFU

Galimova Elvira Gabdelbarovna, author

Other authors

Karavanova Lyudmila Zh., author

Karnaukh Inessa S., author

Niyazova Guliyash B., author

Savina Tatyana N., author

Utemov Vyacheslav V., author

Zakharova Valeria L., author

Bibliographic description in the original language

Niyazova G.B, Utemov V.V, Savina T.N, Classification of open mathematical problems and their role in academic achievement and motivation of students//Eurasia Journal of Mathematics, Science and Technology Education. - 2022. - Vol.18, Is.8. - Art. �em2143.

Annotation

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

Keywords

methods of teaching mathematics, tasks in mathematics, creative tasks, levels of complexity of tasks

The name of the journal

Eurasia Journal of Mathematics, Science and Technology Education

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85135815928&doi=10.29333%2fEJMSTE%2f12265&partnerID=40&md5=dd45fe742254da19cd3207fd2e6372e0

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=269412&p_lang=2

Resource files

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F_Classification_of_open_mathematical_problems_and_their_role_in_academic_achievement_and_motivation.pdf	0,40	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Galimova Elvira Gabdelbarovna	ru_RU
dc.contributor.author	Karavanova Lyudmila Zh.	ru_RU
dc.contributor.author	Karnaukh Inessa S.	ru_RU
dc.contributor.author	Niyazova Guliyash B.	ru_RU
dc.contributor.author	Savina Tatyana N.	ru_RU
dc.contributor.author	Utemov Vyacheslav V.	ru_RU
dc.contributor.author	Zakharova Valeria L.	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Niyazova G.B, Utemov V.V, Savina T.N, Classification of open mathematical problems and their role in academic achievement and motivation of students//Eurasia Journal of Mathematics, Science and Technology Education. - 2022. - Vol.18, Is.8. - Art. �em2143.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=269412&p_lang=2	ru_RU
dc.description.abstract	Eurasia Journal of Mathematics, Science and Technology Education	ru_RU
dc.description.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	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	methods of teaching mathematics	ru_RU
dc.subject	tasks in mathematics	ru_RU
dc.subject	creative tasks	ru_RU
dc.subject	levels of complexity of tasks	ru_RU
dc.title	Classification of open mathematical problems and their role in academic achievement and motivation of students	ru_RU
dc.type	Articles in international journals and collections	ru_RU