Activation of educational activities of schoolchildren under the development of mathematical methods of knowledge

The paper is devoted to the problem of improving the teaching of mathematics in a comprehensive school, enhancing educational and cognitive activities based on mathematical methods of cognition, identifying the most effective teaching technologies that promote students to develop creative thinking,...

Full description

Saved in:
Bibliographic Details
Main Author: Marina I. Bekoeva
Format: Article
Language:English
Published: Samara State Technical University 2020-03-01
Series:Вестник Самарского государственного технического университета. Серия: Психолого-педагогические науки
Subjects:
Online Access:https://vestnik-pp.samgtu.ru/1991-8569/article/viewFile/52345/35798
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1841543952596992000
author Marina I. Bekoeva
author_facet Marina I. Bekoeva
author_sort Marina I. Bekoeva
collection DOAJ
description The paper is devoted to the problem of improving the teaching of mathematics in a comprehensive school, enhancing educational and cognitive activities based on mathematical methods of cognition, identifying the most effective teaching technologies that promote students to develop creative thinking, the ability to independently solve non-standard problems, and modeling complex mathematical objects. In connection with the introduction of innovations in the general education school, which posed fundamental questions to scientists and teachers about the specifics of teaching and educating schoolchildren, it became necessary to resolve the dialectic contradiction between the desirability of implementing a competencybased approach based on methods and techniques of scientific knowledge, mathematical logic, and a system of algorithmic prescriptions providing creative activities for students and still practicing the deductive nature of traditional methods dove teaching mathematics. The paper focuses on the fact that in order to enhance the creative educational and cognitive activity of students, it is important to constantly correlate the studied mathematical models with their real prototypes by abstracting and generalizing the phenomena of the real world, substantive and methodological connection of theoretical conclusions with practical work. The methods and approaches proposed in the paper for teaching students how to solve problems and equations together form the methodological field of various teaching methods and techniques in new, more flexible combinations and in non-standard contexts for the general course of mathematics. The creative development of the richest opportunities, characteristic for the practice of the work of the best teachers, should be the property of all teachers of mathematics, should be reflected in innovative approaches to teaching mathematics, the formation of logical thinking among schoolchildren.
format Article
id doaj-art-f87c6cd9d0c34066b2260cd5c138fb44
institution Kabale University
issn 1991-8569
2712-892X
language English
publishDate 2020-03-01
publisher Samara State Technical University
record_format Article
series Вестник Самарского государственного технического университета. Серия: Психолого-педагогические науки
spelling doaj-art-f87c6cd9d0c34066b2260cd5c138fb442025-01-13T04:58:07ZengSamara State Technical UniversityВестник Самарского государственного технического университета. Серия: Психолого-педагогические науки1991-85692712-892X2020-03-0117161910.17673/vsgtu-pps.2020.1.147706Activation of educational activities of schoolchildren under the development of mathematical methods of knowledgeMarina I. Bekoeva0North Ossetian State University named after K.L. KhetagurovaThe paper is devoted to the problem of improving the teaching of mathematics in a comprehensive school, enhancing educational and cognitive activities based on mathematical methods of cognition, identifying the most effective teaching technologies that promote students to develop creative thinking, the ability to independently solve non-standard problems, and modeling complex mathematical objects. In connection with the introduction of innovations in the general education school, which posed fundamental questions to scientists and teachers about the specifics of teaching and educating schoolchildren, it became necessary to resolve the dialectic contradiction between the desirability of implementing a competencybased approach based on methods and techniques of scientific knowledge, mathematical logic, and a system of algorithmic prescriptions providing creative activities for students and still practicing the deductive nature of traditional methods dove teaching mathematics. The paper focuses on the fact that in order to enhance the creative educational and cognitive activity of students, it is important to constantly correlate the studied mathematical models with their real prototypes by abstracting and generalizing the phenomena of the real world, substantive and methodological connection of theoretical conclusions with practical work. The methods and approaches proposed in the paper for teaching students how to solve problems and equations together form the methodological field of various teaching methods and techniques in new, more flexible combinations and in non-standard contexts for the general course of mathematics. The creative development of the richest opportunities, characteristic for the practice of the work of the best teachers, should be the property of all teachers of mathematics, should be reflected in innovative approaches to teaching mathematics, the formation of logical thinking among schoolchildren.https://vestnik-pp.samgtu.ru/1991-8569/article/viewFile/52345/35798mathematical educationteaching of mathematicsmathematical modelingsolution of equationsproofstheoremsindependent work in mathematicsevaluation of results
spellingShingle Marina I. Bekoeva
Activation of educational activities of schoolchildren under the development of mathematical methods of knowledge
Вестник Самарского государственного технического университета. Серия: Психолого-педагогические науки
mathematical education
teaching of mathematics
mathematical modeling
solution of equations
proofs
theorems
independent work in mathematics
evaluation of results
title Activation of educational activities of schoolchildren under the development of mathematical methods of knowledge
title_full Activation of educational activities of schoolchildren under the development of mathematical methods of knowledge
title_fullStr Activation of educational activities of schoolchildren under the development of mathematical methods of knowledge
title_full_unstemmed Activation of educational activities of schoolchildren under the development of mathematical methods of knowledge
title_short Activation of educational activities of schoolchildren under the development of mathematical methods of knowledge
title_sort activation of educational activities of schoolchildren under the development of mathematical methods of knowledge
topic mathematical education
teaching of mathematics
mathematical modeling
solution of equations
proofs
theorems
independent work in mathematics
evaluation of results
url https://vestnik-pp.samgtu.ru/1991-8569/article/viewFile/52345/35798
work_keys_str_mv AT marinaibekoeva activationofeducationalactivitiesofschoolchildrenunderthedevelopmentofmathematicalmethodsofknowledge