KFU. Card publication. Key Problems of Complex Topics in Mathematics as the Basis of Teaching Methods in the Conditions of Self-Education

KAZAN
FEDERAL UNIVERSITY

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KEY PROBLEMS OF COMPLEX TOPICS IN MATHEMATICS AS THE BASIS OF TEACHING METHODS IN THE CONDITIONS OF SELF-EDUCATION

Form of presentation

Articles in international journals and collections

Year of publication

2021

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Authors, employees of KFU

Telegina Nadezhda Viktorovna, author

Bibliographic description in the original language

Zelenina N.A, Telegina N.V, Pronchev G.B, Key Problems of Complex Topics in Mathematics as the Basis of Teaching Methods in the Conditions of Self-Education//Eurasia Journal of Mathematics, Science and Technology Education. - 2021. - Vol.17, Is.10. - P.1-13.

Annotation

Ensuring a high quality of teaching mathematics to students is inextricably linked with teaching how to solve creative mathematical problems. These problems traditionally include tasks of high educational, developmental and diagnostic value. Teaching how to solve such problems allows training graduates with the highest level of the subject knowledge. The problem under study is relevant due to the need to form students' ability to solve problems with parameters in order to achieve high results in mathematics, intellectual and personal growth. The problem has a new meaning during temporary distance learning, emphasizing the need to create educational and methodological materials that allow students to organize self-education on complex topics in mathematics. The purpose of this research is to develop and describe a teaching methodology for solving problems with parameters based on the allocation of basic (key) problems. The authors have developed a methodology for constructing a system of tasks based on systematizing the theoretical and task material, highlighting students' basic knowledge and skills, describing the intra-and inter-subject connections of the topic “Equation of a circle in tasks with parameters”. This methodology includes a typology of problems with parameters containing the equation of a circle, a substantiated description of the system of basic (key) problems, the role and content of the propaedeutic stage of teaching. The materials have passed multi-stage approbation and shown their consistency in achieving high results in mathematics. They can help teachers to prepare lessons and extracurricular activities, authors to provide teaching aids for students and teachers, and serve as the basis for a special course for students of pedagogical universities.

Keywords

basic (key) tasks, equation of a circle, tasks with parameters, teaching mathematics, teaching methods of mathematics

The name of the journal

Eurasia Journal of Mathematics, Science and Technology Education

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114433580&doi=10.29333%2fejmste%2f11186&partnerID=40&md5=ddab5af54fa8fca11d3665f1d566470d

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

https://repository.kpfu.ru/eng/?p_id=269910&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Telegina Nadezhda Viktorovna	ru_RU
dc.date.accessioned	2021-01-01T00:00:00Z	ru_RU
dc.date.available	2021-01-01T00:00:00Z	ru_RU
dc.date.issued	2021	ru_RU
dc.identifier.citation	Zelenina N.A, Telegina N.V, Pronchev G.B, Key Problems of Complex Topics in Mathematics as the Basis of Teaching Methods in the Conditions of Self-Education//Eurasia Journal of Mathematics, Science and Technology Education. - 2021. - Vol.17, Is.10. - P.1-13.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=269910&p_lang=2	ru_RU
dc.description.abstract	Eurasia Journal of Mathematics, Science and Technology Education	ru_RU
dc.description.abstract	Ensuring a high quality of teaching mathematics to students is inextricably linked with teaching how to solve creative mathematical problems. These problems traditionally include tasks of high educational, developmental and diagnostic value. Teaching how to solve such problems allows training graduates with the highest level of the subject knowledge. The problem under study is relevant due to the need to form students' ability to solve problems with parameters in order to achieve high results in mathematics, intellectual and personal growth. The problem has a new meaning during temporary distance learning, emphasizing the need to create educational and methodological materials that allow students to organize self-education on complex topics in mathematics. The purpose of this research is to develop and describe a teaching methodology for solving problems with parameters based on the allocation of basic (key) problems. The authors have developed a methodology for constructing a system of tasks based on systematizing the theoretical and task material, highlighting students' basic knowledge and skills, describing the intra-and inter-subject connections of the topic “Equation of a circle in tasks with parameters”. This methodology includes a typology of problems with parameters containing the equation of a circle, a substantiated description of the system of basic (key) problems, the role and content of the propaedeutic stage of teaching. The materials have passed multi-stage approbation and shown their consistency in achieving high results in mathematics. They can help teachers to prepare lessons and extracurricular activities, authors to provide teaching aids for students and teachers, and serve as the basis for a special course for students of pedagogical universities.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	basic (key) tasks	ru_RU
dc.subject	equation of a circle	ru_RU
dc.subject	tasks with parameters	ru_RU
dc.subject	teaching mathematics	ru_RU
dc.subject	teaching methods of mathematics	ru_RU
dc.title	Key Problems of Complex Topics in Mathematics as the Basis of Teaching Methods in the Conditions of Self-Education	ru_RU
dc.type	Articles in international journals and collections	ru_RU