2022-01-25T13:38:02Z
http://ccjournals.eu/ojs/index.php/tmn/oai
oai:ojs2.ccjournals.eu:article/173
2017-01-27T09:24:24Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/173
2017-01-27T09:24:24Z
Theory and methods of learning mathematics, physics, informatics
Vol 9 (2011); 04-07
Modification of the methods of individual work of students in the study of mathematics
Бондаренко, Зоя Іванівна; National Mining University
Подольська, Світлана Миколаївна; National Mining University
Тимченко, Світлана Євгенівна; National Mining University
Удовицька, Діна Володимирівна; National Mining University
2013-11-22 18:33:44
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/173
uk
The article is dedicated to the students individual work under the coaching of teachers. For the purpose of this work we created or developedtraining objectives of elementary mathematics;lecture notes on current topics;training tasks to prepare for the module and examination papers;options for solutions of specific problems.This information is available to students on the INTERNET 24 hours a day.
oai:ojs2.ccjournals.eu:article/762
2018-04-11T13:08:57Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/762
2018-04-11T13:08:57Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 2 (2015); 9-22
Analysis, features and requirements for some methods of teaching higher mathematics for students of technical universities
Кіяновська, Наталія Михайлівна; Department of higher mathematics, SIHE «Kryvyi Rih National University», 11, XXII Partz’yizdu str., Kryvyi Rih, 50027, Ukraine
Рашевська, Наталя Василівна; Department of higher mathematics, SIHE «Kryvyi Rih National University», 11, XXII Partz’yizdu str., Kryvyi Rih, 50027, Ukraine
2015-09-04 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/762
The modern system of the higher technical education require that the teacher creates conditions for practical training for quality education that to provide for students with an opportunity to acquire knowledge in accordance with the decision of their professional tasks. That is why the organization of the process of higher mathematics teaching requires the involvement of different methods that improve the cognitive activity of students.
Object of the research: the teaching process of higher mathematics of students of technical universities.
Subject of research: use some methods on practical classes in higher mathematics.
Research focus: to analyze some of the teaching methods that may be used in the learning process of higher mathematics of students of technical universities.
Problem research: to identify the characteristics and requirements of such methods of teaching as project method, the method of multilevel studies, case-method teaching method, in collaboration, a method of learning in groups, a method of portfolio, description of the examples of these methods require the use of information and communication technologies.
The study examines the use of ICT as a pedagogical tool and software GRAN 1, intelligent search engine Wolfram|Alpha, a system for interactive communication Piazza.
oai:ojs2.ccjournals.eu:article/763
2018-04-11T13:10:14Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/763
2018-04-11T13:10:14Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 2 (2015); 23-33
Psychological bases and methodical features of influence on semiosphere of personality of students in the process of studies of mathematics
Лов’янова, Ірина Василівна; Department of mathematics and methodology of studies of mathematics, The Tcherkasy national university of the name of Bohdan Khmelnytsky, 81, Shevchenko boulevard, Tcherkasy, 18031, Ukraine
Шиперко, Світлана Геннадіївна; Department of mathematics and methodology of its studies, SIHE “Kryvyi Rih National University”, 54, Gagarin boulevard, Kryvyi Rih, 50086, Ukraine
2015-09-04 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/763
On the basis of analysis of psychological bases of process of studies the spheres of personalities of student, that are formed in the studies, and the methodical ways of development of separate spheres of personality in the process of studies of mathematics are distinguished in the article.
The aim: to educe the features of semiotic sphere of personality of senior pupils and ways of its development in the process of studies of mathematics.
The tasks: 1) to learn experience of psychology-pedagogical science in relation to development of personality in the studies; 2) to consider possibilities of studies of mathematics in development of personality of student; 3) to offer the methodical receptions of influence on semiosphere of students in the studies of mathematics.
The research object: the process of studies of senior pupils of mathematics.
The article of research: psychological bases and methodical features of influence on semiosphere of personality of students in the process of studies of mathematics.
The research methods: study of papers of the scientists that are devoted to research psychology-pedagogical bases of development of personality in studies.
The results: the methodical receptions of mastering of maintenance of studies that are worked out taking into account the semiotic features of students are offer.
The conclusions: the possibilities are considered and the methodical receptions of taking into account of psychological features of senior pupils in the process of studies of mathematics are offered.
oai:ojs2.ccjournals.eu:article/764
2018-04-11T13:12:18Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/764
2018-04-11T13:12:18Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 2 (2015); 34-41
Technique of solving logic problems
Рашевська, Анастасія Миколаївна; Kryvyi Rih natural-scientific lyceum, 32A, Meleshkina str., Kryvyi Rih, 50071, Ukraine
2015-09-04 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/764
Actuality of the theme is determined by the need to study the subject of logic in teaching in specialized schools, and the ability to solve logical problems by various methods, compare them and choose the method that will help get the right result faster than others. The ability to solve logic puzzles teach students to correctly determine the conditions of the problem, logical expressions and to correlate them and compare, to come to the correct conclusion using the data problems and their solutions. In this context, the object of the article is logical problems, and the subject the article is mathematical logic.
The purpose of the article is to review and analyze solving some logical problems through different methods. For the purpose, the main objective of the article is to determine the most rational method for solving logical problems. The study examined the following methods of solving logical problems as method arguments, the method of tables and flowcharts method.
oai:ojs2.ccjournals.eu:article/765
2018-04-11T13:13:03Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/765
2018-04-11T13:13:03Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 2 (2015); 42-48
The use of computer animations at the teaching of analytic geometry
Сєдих, Ольга Леонідівна; Department of informatics, National University of Food Technologies, 68, Volodymyrska str., Kyiv, 01601, Ukraine
Маковецька, Світлана Василівна; Department of informatics, National University of Food Technologies, 68, Volodymyrska str., Kyiv, 01601, Ukraine
2015-09-04 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/765
This paper proposes the implementation of information technologies in the study of higher mathematics course (section “Analytic geometry”), which offers the prospect of broadening and deepening the knowledge base of students due to intensification and activation of the educational process. The paper highlights the software implementation tasks of analytic geometry in Mathcad examples on constructing a tangent to a given function and the tangent plane to the surface with the use of animations. Use of Mathcad in the mathematical preparation of students is validated.
Objective: To improve the quality of students’ training in higher mathematics courses through intensification and efficiency of the educational process that focuses on the use of modern information technology.
Problem: To analyze the use of the package Mathcad in teaching of higher mathematics.
Object of research: the learning process of students in higher education institutions using information technology in the study of analytic geometry.
Subject of research: peculiarities of using Mathcad package in teaching analytic geometry.
Results: benefits of using information technology in teaching of analytic geometry over traditional teaching methods are revealed.
Conclusions: software implementation of tasks of analytic geometry in Mathcad environment using animation is considered.
oai:ojs2.ccjournals.eu:article/766
2018-04-11T13:13:49Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/766
2018-04-11T13:13:49Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 2 (2015); 49-56
Methodological features of introduction of abstract concepts in teaching of advanced mathematics
Сидоренко, Ірина Ігорівна; Department of fundamental disciplines, Academy of Internal Army of the Ministry of Internal Affairs of Ukraine, 3 Povstannya sq., Kharkiv, 61001, Ukraine
2015-09-04 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/766
Research focus: the analysis of the main psychological, methodological and pedagogical problems of understanding of abstract concepts for those cadet, whom the mathematics isn’t a profile subject.
Problem research: a search of methodical receptions help to eliminate a problem in understanding of an essence of abstract concept in view of psychology of the person.
Object of research: an abstract concept, as philosophical category and psychological bases which a perception and understanding of the abstract concept by the person base on.
Subject of research: methodical receptions by means of which the clear understanding of abstract concepts and their organic association with the previous knowledge of the cadet and his outlook as a whole is reached.
The research method: pilot study.
The results: a training improvement of quality was reached, according to results of semester certifications.
The main recommendation in teaching of a advanced mathematics course is an optimization of two components of training – an extent of formalization of a course and its scientific level on the one hand, and an availability a connection of the course to the cadet’s outlook – on the other hand.
oai:ojs2.ccjournals.eu:article/772
2018-04-11T18:53:46Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/772
2018-04-11T18:53:46Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 2 (2015); 57-64
Using analytic geometry in the study of stereometry school course
Слюзко, Тетяна Романівна; Department of mathematics and methods of teaching, SIHE “Kryvyi Rih National University”, 54 Gagarina Ave., Kryvyi Rih, 50086, Ukraine
Ульшин, Петро Іванович; Department of mathematics and methods of teaching, SIHE “Kryvyi Rih National University”, 54 Gagarina Ave., Kryvyi Rih, 50086, Ukraine
2015-09-04 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/772
The research deals with the historical facts of the coordinate-vector method and its application for solving stereometric problems in geometry.
Objective: To show the continuity between the school geometry course and geometry of higher education.
Research tasks: 1) to highlight the historical facts that led to the development of the coordinate-vector method in analytic geometry; 2) to show the use of the investigational method in the study of geometry and solving problems.
Object of research: the process of learning geometry by students.
Subject of research: the use of the coordinate-vector method for solving geometric problems.
Research results: efficiency of coordinate-vector method for solving stereometric problems have been revealed.
Research methods: Analysis of historical, scientific and methodical literature, coordinate and vector methods.
Conclusions: The historical facts that served for the development of coordinate and vector methods have been looked through, the advantages of using a coordinate-vector method for solving stereometric problems in the school geometry course and the geometry of higher education have been revealed.
oai:ojs2.ccjournals.eu:article/773
2018-04-11T19:03:57Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/773
2018-04-11T19:03:57Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 2 (2015); 65-73
Didactic principles of formation stochastic competence students university of economics
Трунова, Олена Василівна; Department of Higher Mathematics, National Pedagogical Dragomanov University, 9, Pyrogova str., Kyiv, 01601, Ukraine
2015-09-04 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/773
Considered didactic principles, which are components of methodical system forming stochastic competence in teaching students of economics universities.
Analysis of psychological, educational, economic and mathematical literature on stochastic forming competence of future economists and personal learning experience allowed us to determine the system of teaching the principles of formation of stochastic competence of future economists: the principle of science; the principle of the strength of knowledge; the principle of systematic sequence; the principle of flexibility and openness; the principle of approachability; the principle of visibility; the principle of continuity of learning; the principle of humanization; the principle of goal-setting; the principle of developmental context; the principle of professional and applied orientation.
Required substantial changes in the learning process based competency approach that led to the effectiveness of training future specialists to the profession. For the modern economist is important not only to the amount of information received, as its capacity and ability to assimilate and creatively use their professional work.
oai:ojs2.ccjournals.eu:article/982
2019-07-14T11:16:29Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/982
2019-07-14T11:16:29Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 3 (2015); 9-21
Problem-solving process as a sequence of approaches and their results
Скороход, Георгий Исаакович; Dnepropetrovsk National University named Oles Gonchar
2015-12-25 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/982
Objective focus teachers on what to teach methods of solving the problem solving process it is advisable to submit as an alternating sequence of individual solution approaches and results of their application. Six results are allocated: 1) the features of the problem are identify, 2) the problem is divided into several sub-problems, 3) the problem is converted to another problem, 4) introduced a modification of the problem that promotes in the decision, 5) received new information, 6) narrowed the search area solutions. Systematized techniques resulting in each result. Explicit selection of methods and results of their application in the process of solving each learning task should contribute to better their assimilation.
oai:ojs2.ccjournals.eu:article/983
2019-07-14T11:28:27Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/983
2019-07-14T11:28:27Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 3 (2015); 22-33
Basic forms of organization of studies of students of economic specialities which are instrumental in forming of subject mathematical competence of economist
Бас, Світлана Віталіївна; SIHE «Kryvyi Rih National University»
Словак, Катерина Іванівна; SIHE «Kryvyi Rih National University»
2015-12-25 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/983
In the article the forms of organization are examined studies of higher mathematics, which are directed on forming of subject mathematical competence of economist (SMCE).
The purpose of the article is an analysis of forms of organization of studies of mathematics and determination among them those, that most influence on forming of subject mathematical competence of economist, and also establishment of intercommunications, between them.
A research object is studies of higher mathematics of students of economic specialities.
The research subject is a process of forming of SMCE.
Used research methods: study, analysis, specification, generalization and systematization of forms of organization of studies of higher mathematics.
Research results: the stages of preparation are selected to lecture, practical employments of directed on forming of SMCE, and also stages of preparation of individual home tasks. Intercommunications are illustrated between the basic forms of organization of educational activity of students from higher mathematics and professional preparation of future economists.
Basic conclusions and recommendations: basic the forms of organization of studies from higher mathematics of students of economic specialities there are lectures, practical employments, independent work and consultations. Including to each of them elements of the applied orientation (economic maintenance of concepts – in the process of theoretical preparation, and task, with economic maintenance the process of practical preparation) and facilities of ICT is basis of forming of SMCE.
oai:ojs2.ccjournals.eu:article/984
2019-07-14T11:33:39Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/984
2019-07-14T11:33:39Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 3 (2015); 34-58
Mathematical competence in system of future engineers general and professional competencies
Бех, Олександр Володимирович; SIHE «Kryvyi Rih National University»
2015-12-25 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/984
A conception of mathematical competence is analysed in the article for preparing baccalaureates of engineering direction in the system of general and scientific competencies. A question of general and scientific, general and professional competencies is considered, a model of future engineers general and scientific competencies is built.
oai:ojs2.ccjournals.eu:article/985
2019-07-14T11:38:54Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/985
2019-07-14T11:38:54Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 3 (2015); 59-67
Application of mathematical modeling in training future engineers-metallurgists
Горшкова, Ганна Алімівна; SIHE «Kryvyi Rih National University»
2015-12-25 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/985
This article discusses the possibility of using mathematical modeling in the training of future engineers-metallurgists. Emphasized that the introduction of new technologies in the development and operation of the metallurgical complex significantly increases the requirements in the basic sciences to university graduates of engineering profile. Future engineers-metallurgists must have professional knowledge and skill to possess mathematical methods and apply them in practice. As a subject higher mathematics not only allows its methods and means to identify significant linkages real phenomena and processes in industrial activity and form habits and future engineers in the mathematical study of applied problems, the ability to build and analyze mathematical models of engineering problems.
Objective: to discover the essence of mathematical modeling and show the necessity of applying this method to train future engineers metallurgical field.
Problems: 1) to signify the concept of mathematical model; 2) to provide the mathematical concepts that are basic mathematical models of real processes in metallurgy; 3) to demonstrate the use of mathematical modeling in the study of professionally-oriented disciplines.
Object of research: the process of training of engineers-metallurgists.
Subject of research: the use of mathematical modeling as a means of developing professional habits of future engineers in the research process of metallurgical processes.
Results: consider the application of mathematical modeling in the study of metallurgical processes, identified mathematical concepts, which are models of these processes.
Methods: analysis of psychological, educational, scientific and methodical literature, observation.
Conclusions: indicated the notion of mathematical model, justified that the modeling is an effective and universal method of scientific knowledge. It allows, in particular, engineer-metallurgist experimenting with objects when doing this on the real object is practically impossible or impractical; demonstrate the effectiveness of using mathematical modeling in training engineers-metallurgists.
oai:ojs2.ccjournals.eu:article/986
2019-07-14T11:44:30Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/986
2019-07-14T11:44:30Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 3 (2015); 68-75
Methodical aspects of using CoCalc to study the algebra and calculus basics
Попель, Майя Володимирівна; The Institute of Information Technologies and Learning Tools of the NAPS of Ukraine
2015-12-25 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/986
The article is devoted to the study of algebra and calculus basics in high profile school using modern computer learning tools, e. g. CoCalc.
The research focus: to conduct a theoretical analysis of the use the CoCalc to the study of algebra and calculus basics in.
Object: the algebra and calculus basics learning at the universities and the high secondary school using cloud technologies.
Subject: the use of the CoCalc as a tool of algebra and calculus basics learning.
Goals: 1) to describe the prospects of using Web-SCM in terms of cloud-based environment; 2) to identify the characteristics of the CoCalc as a tool for learning mathematics; 3) to disclose methods of algebra and calculus basics teaching using CoCalc.
The research methods: 1) the analysis of the scientific and educational literature; 2) the teaching observations and the conversations with teachers; 3) the analysis of the CoCalc as a learning tool.
The results: the advantages of using the CoCalc as a tool for algebra and calculus basics learning are grounded.
The main conclusions: the prospects of cloud-based learning systems use, including the CoCalc, for mathematics learning are revealed.
oai:ojs2.ccjournals.eu:article/987
2019-07-14T11:50:06Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/987
2019-07-14T11:50:06Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 3 (2015); 76-81
Forming of cognitive interest of high school students by using ICT in algebra and calculus lessons
Войтенко, Марина Юріївна; Kryvyi Rih State Pedagogical University
Віхрова, Олена Вікторівна; Kryvyi Rih State Pedagogical University
2015-12-25 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/987
The article deals with information and communication technologies as a source of forming and maintaining of cognitive interest in the study of algebra and calculus in high school.
Objective: to show the necessity of using ICT in algebra and calculus lessons.
Objectives: to define the concept of “cognitive interest”; to identify the developmental stages of cognitive interest and methods of its organization and maintenance; to show the use of ICT in algebra and calculus lessons.
Object of research: process of studying algebra and calculus by high school students.
Purpose of the study: the use of ICT to form the cognitive interest of students in algebra and calculus lessons
Results: revealed effective use of ICT as a method of enhancing cognitive interest of students to the learning process in algebra and calculus lessons.
Methods: analysis of psychological, educational, scientific and methodical literature; comparative.
Conclusions: defined concept of “cognitive interest”, identified developmental stages of cognitive interest and methods of it organization and maintenance and described the efficiency of ICT in algebra and calculus lessons.
oai:ojs2.ccjournals.eu:article/988
2019-07-14T11:55:40Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/988
2019-07-14T11:55:40Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 3 (2015); 82-89
Scheme-sign models of teaching information visualization as a tool for student creativity development
Мукосеенко, Ольга Анатольевна; Pryazovskyi State Technical University
2015-12-25 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/988
The issue on using scheme-sign models of teaching information visualization for the development of student creativity studying non-mathematical specialties in the process of the higher mathematics study. The definitions of the creativity, as well as popular scheme-sign models of knowledge visualization have been given. A new visualization model – notes-pictures has been considered.
Research focus: study the possibilities of scheme-sign models of teaching information visualization for development of student creativity.
Problem research: 1) analyze the psychological and pedagogical literature for the purpose of finding algorithms of building scheme-sign models of teaching information visualization; 2) check the hypothesis experimentally: preparation of scheme-sign models of teaching information visualization is an efficient tool for student creativity development.
Object of research: process of studying the higher mathematics by students studying non-mathematical specialties, oriented to student creativity development.
Subject of research: development of student creativity studying non-mathematical specialties in the process of the higher mathematics course study by teaching information visualization means.
The research methods: theoretical (analysis of the psychological and pedagogical literature), empirical (observation), experimental, diagnostic (analysis of student activity results).
The results: scheme-sign models of teaching information visualization which are most preferred by students have been found out.
The main conclusions: preparation of scheme-sign models of teaching information visualization is an efficient tool for student creativity development.
oai:ojs2.ccjournals.eu:article/989
2019-07-14T12:01:05Z
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http://ccjournals.eu/ojs/index.php/tmn/article/view/989
2019-07-14T12:01:05Z
Theory and methods of learning mathematics, physics, informatics
Vol 13 No 3 (2015); 90-97
On the issue of training the bachelors in electromechanics at the universities
Кислова, Марія Алімівна; Kryvyi Rih College of the National Aviation University
Словак, Катерина Іванівна; SIHE «Kryvyi Rih National University»
2015-12-25 00:00:00
url:http://ccjournals.eu/ojs/index.php/tmn/article/view/989
Objective: to investigate the training of bachelors in electromechanics at the universities.
Research tasks: 1) to analyze the training of bachelors in electromechanics at the universities; 2) on the basis of analysis, identify the directions of improving the quality of mathematical training of bachelors in electromechanics.
The object of research is the process of studying higher mathematics of bachelors in electromechanics.
Subject of research – means of improving the quality of mathematical training of bachelors in electromechanics.
Used research methods: analysis, generalization, systematization of scientific and methodological literature on the research problem, analysis of current standards of higher education, curricula, textbooks and manuals – for the theoretical basis of research.
The result of the research is the selection of directions for improving the quality of mathematical training of electromechanical students: applied orientation and modern ICT.