Nina Tarasenkova - Academia.edu (original) (raw)

Papers by Nina Tarasenkova

The content of mathematics education takes on a specific form of existence in a variety of shells... more The content of mathematics education takes on a specific form of existence in a variety of shells – verbal and non-verbal, which are created with the help of sign and symbol means of a different nature. The language is the main means. In teaching signs and symbols perform a substitutional, cognitive, and communicative function; build up an informational basis of students ’ learning activities. In mastering learning contents signs and symbols are the subject of study, and an instrument of knowledge. Operating sign and symbolic means is a necessary component of students ’ learning activities, which is directly related to semiosis in students ’ training activities and enrichment of the conceptual structures possessed and acquired by the students. Mastering different means of fixing the training material contents and every kind of sign and symbolic activity, namely – substitution, coding (decoding), schematization, and modeling is the basis of the information culture and a prerequisite ...

Universal Journal of Educational Research, 2020

This article focuses on the problem of implementing the integrated learning of Mathematics and En... more This article focuses on the problem of implementing the integrated learning of Mathematics and English by future Mathematics teachers based on the Content and Language Integrated Learning (CLIL) model. Our review of the literature confirms that this method is considered to be an effective approach to the formation and development of students' subject knowledge and foreign language skills. This technology is significant for the professional training of future Mathematics teachers since they should be competent in both Mathematics and foreign language to effectively teach today's schoolchildren. A student questionnaire was conducted and its analysis shows that students believe that CLIL will benefit them in the process of their professional training. Since the CLIL approach is multidimensional process, its implementation requires thorough preparation. This paper demonstrates and describes some specific steps in the preparatory stage for implementing the CLIL approach for the professional training of future Mathematics teachers: determining mathematical course, choosing its specific themes (units), planning for expected results, designing the organizational features of the educational process using the CLIL method and designing the appropriate teaching and methodological support. The possible variant for designing the preparatory stage for the integrated teaching and learning of "Number Theory" and English is suggested. It is demonstrated that the Mathematical and foreign language component of the expected educational outcomes need to be distinguished. The educational process should involve a special system of multilevel bilingual assignments. It also should have some special preconditions and joint activities of Mathematics and English teachers.

CHERKASY UNIVERSITY BULLETIN: APPLIED MATHEMATICS. INFORMATICS, 2021

Universal Journal of Educational Research, 2020

This empirical study determines the obvious and hidden factors that affect the Ukrainian Mathemat... more This empirical study determines the obvious and hidden factors that affect the Ukrainian Mathematics teachers to use Project-Based Learning and Teaching (PBL and PBT) Mathematics. A survey of 126 practicing Mathematics teachers was conducted using a Standard closed ended questionnaire. The study confirms that modern Mathematics teachers believe that it is impossible to teach Mathematics for modern students without using PBL and PBT. On the one hand, teachers demonstrate their beliefs in these educational techniques. On the other hand, the survey reveals hidden factors that are inhibitory in the practice of PBL and PBT Mathematics. The study shows the following statistically confirmed factors in teachers' beliefs concerning the use of PBL and PBT Mathematics: Content-Technological Factor; Result & Age Factor; Factor of the Target Audience on the expediency of using PBL and PBT Mathematics; Teacher's Overload Factor; Praxeological Factor; Locality Factor; Teacher's Awarene...

INTEGRACIÓN DE LAS CIENCIAS FUNDAMENTALES Y APLICADAS EN EL PARADIGMA DE LA SOCIEDAD POST-INDUSTRIAL - VOLUMEN 4, 2020

Science and Education a New Dimension, 2019

Universal Journal of Educational Research, 2020

Students' mastering the art of proof is one of the most important educational results of teaching... more Students' mastering the art of proof is one of the most important educational results of teaching Mathematics in the secondary school. The study shows that there are significant challenges, gaps, and weaknesses in the practice of teaching reasoning and proving. The goal of the research is to determine the way of using traditional teaching practices to present reasoning and proving, the way of organizing the review and mastery of the theorem proofs. In addition, the obvious and hidden factors affecting the students' productivity in these activities were identified. To study the problem, a survey that involved 136 Mathematics teachers across Ukraine was carried out. A standard close-ended questionnaire was developed. Factor analysis was used to analyze the results of the survey. The important factors determining the time efficiency when a teacher organizes teaching and learning of a theorem proof, were discovered. The analysis of the factors and numerical loadings of variables forming them, result in the conclusions presented in this paper.

Universal Journal of Educational Research, 2019

Students master the methods of reasoning and argumentation in school mathematics when study theor... more Students master the methods of reasoning and argumentation in school mathematics when study theorems and their proofs. In studying theorems, students must learn to understand the essence of the theorem. For this, special work with the wording of the theorem is necessary. We believe that this work must contain: a) four mandatory stages; b) three stages for students who take a genuine interest in mathematics; c) stage for those who want to go further in learning mathematics. The aim of this study is to investigate the challenges in teacher practices during four mandatory stages; to reveal the obvious and hidden factors that affect student outcomes. For this study, a survey that involved 129 mathematics teachers across Ukraine was carried out. A standard closed ended questionnaire was developed. Several challenges were found in the area of students' motivation, and teachers' lack of understanding of how to most efficiently teach the wording of theorems. Factor analysis was used to analyze the results of the survey, and 10 variables were found to describe how teachers motivated students to learn theorems and taught the wording of theorems.

WIELOKIERUNKOWOSC JAKO GWARANCJA POSTĘPU NAUKOWEGO - TOM 2, 2020

Cherkasy University Bulletin: Pedagogical Sciences, 2019

Highlighting the peculiarities of a healthy lifestyle culture formation with future cyber securit... more Highlighting the peculiarities of a healthy lifestyle culture formation with future cyber security specialists. Methods. During the research, theoretical and empirical methods are used. Results. The research of a healthy lifestyle culture formation peculiarities with future cyber security specialists showed the low level and also the further improvement of theoretical and practical aspects of the students healthy lifestyle culture formation. Originality. The main directions, principles and ways of a healthy lifestyle culture formation among students are determined. The results of the cyber security students questionnaire for the purpose of healthy lifestyle are proposed and analyzed. The conclusion is made about the urgency of the issue of work organization on the formation of a healthy lifestyle culture within a higher education institution, especially for cyber security specialists. Conclusion. Rapid scientific and technological progress, internal socioeconomic transformations of society put higher demands on high school students, especially with regard to the highly relevant «Cyber Security» specialty. This, in its turn, requires a substantial increase in the physical and spiritual potential among the students of this specialty. Consequently, it is necessary to involve student youth in a healthy lifestyle through all available types and forms of activity in higher education institutions. This will help preserve and change the health of the younger generation and lay the foundations for a healthy lifestyle in the next generations.

Global Journal of Human Social Science Research, Mar 5, 2014

The article is an exposure to semiotic-symbolic peculiarities of object-based texts which are the... more The article is an exposure to semiotic-symbolic peculiarities of object-based texts which are the definitions in school math, formulations (descriptions) of some facts and operational methods which are under study in secondary schools.

The content of mathematics education takes on a specific form of existence in a variety of shells... more The content of mathematics education takes on a specific form of existence in a variety of shellsverbal and non-verbal, which are created with the help of sign and symbol means of a different nature. The language is the main means. In teaching signs and symbols perform a substitutional, cognitive, and communicative function; build up an informational basis of students' learning activities. In mastering learning contents signs and symbols are the subject of study, and an instrument of knowledge. Operating sign and symbolic means is a necessary component of students' learning activities, which is directly related to semiosis in students' training activities and enrichment of the conceptual structures possessed and acquired by the students. Mastering different means of fixing the training material contents and every kind of sign and symbolic activity, namely-substitution, coding (decoding), schematization, and modeling is the basis of the information culture and a prerequisite for the development of each student's personality. The selection and use of sign and symbol means should be made on the basis of the analysis of conflicts between the logical and visual. Such conflicts may have not only an objective, historically conditioned character. Most often they are generated by subjective factors-the advent of the students' misunderstanding of the contents of the material and the negative attitudes to the possibility to understand the content, inability to place content in different sign and symbolic shell, the presence of adhesions (but not a dialectical unity) of content and form which were formed in the prior learning students' experience, etc. Adequate conditions for the training and development of all students in the course of mathematics acquisition are created through a comprehensive, systematic and activity approaches to the use of verbal and non-verbal sign and symbol means. Thus, the new goal in teaching mathematics is the ensuring of the two processes unity: the formation of subject knowledge, skills and abilities, on the one hand, and the experience of independent sign and symbolic activities of students, on the other hand.

American Journal of Educational Research, 2014

The article considers the certain features of the development of learners' logical reasoning in c... more The article considers the certain features of the development of learners' logical reasoning in classes with different subject-specialization at secondary school. A short author's review of literature suggests that three main directions have been formed in the theory of teaching mathematics in the last 50-60 years in Ukraine. The author investigates them in brief. The analysis shows that the current approach to forming pupils' logical thinking, significantly varies depending on the subject-specialization and the level of mathematics training. More detailed investigation of particular methods and techniques of teaching the elements of mathematical logic in classes with advanced study of mathematics are given in the article.

American Journal of Educational Research, 2014

The article necessitates the introduction of a subject "Methods of teaching mathematics in higher... more The article necessitates the introduction of a subject "Methods of teaching mathematics in higher education" to the undergraduate's curriculum of mathematics students. The subject curriculum is presented, its goals and objectives are described, the contents of lectures and workshops are detailed on, the contents of the independent study material are provided, and the level-related requirements to the results of the study of this discipline by the students are offered.

American Journal of Educational Research, 2013

American Journal of Educational Research, 2015

The article focuses on semiotic and semantic features of the mathematical tasks which are set in ... more The article focuses on semiotic and semantic features of the mathematical tasks which are set in the course of teaching mathematics to primary school education students. The data are analysed and experimentally confirmed.

The content of mathematics education takes on a specific form of existence in a variety of shells... more The content of mathematics education takes on a specific form of existence in a variety of shells – verbal and non-verbal, which are created with the help of sign and symbol means of a different nature. The language is the main means. In teaching signs and symbols perform a substitutional, cognitive, and communicative function; build up an informational basis of students ’ learning activities. In mastering learning contents signs and symbols are the subject of study, and an instrument of knowledge. Operating sign and symbolic means is a necessary component of students ’ learning activities, which is directly related to semiosis in students ’ training activities and enrichment of the conceptual structures possessed and acquired by the students. Mastering different means of fixing the training material contents and every kind of sign and symbolic activity, namely – substitution, coding (decoding), schematization, and modeling is the basis of the information culture and a prerequisite ...

Universal Journal of Educational Research, 2020

This article focuses on the problem of implementing the integrated learning of Mathematics and En... more This article focuses on the problem of implementing the integrated learning of Mathematics and English by future Mathematics teachers based on the Content and Language Integrated Learning (CLIL) model. Our review of the literature confirms that this method is considered to be an effective approach to the formation and development of students' subject knowledge and foreign language skills. This technology is significant for the professional training of future Mathematics teachers since they should be competent in both Mathematics and foreign language to effectively teach today's schoolchildren. A student questionnaire was conducted and its analysis shows that students believe that CLIL will benefit them in the process of their professional training. Since the CLIL approach is multidimensional process, its implementation requires thorough preparation. This paper demonstrates and describes some specific steps in the preparatory stage for implementing the CLIL approach for the professional training of future Mathematics teachers: determining mathematical course, choosing its specific themes (units), planning for expected results, designing the organizational features of the educational process using the CLIL method and designing the appropriate teaching and methodological support. The possible variant for designing the preparatory stage for the integrated teaching and learning of "Number Theory" and English is suggested. It is demonstrated that the Mathematical and foreign language component of the expected educational outcomes need to be distinguished. The educational process should involve a special system of multilevel bilingual assignments. It also should have some special preconditions and joint activities of Mathematics and English teachers.

CHERKASY UNIVERSITY BULLETIN: APPLIED MATHEMATICS. INFORMATICS, 2021

Universal Journal of Educational Research, 2020

This empirical study determines the obvious and hidden factors that affect the Ukrainian Mathemat... more This empirical study determines the obvious and hidden factors that affect the Ukrainian Mathematics teachers to use Project-Based Learning and Teaching (PBL and PBT) Mathematics. A survey of 126 practicing Mathematics teachers was conducted using a Standard closed ended questionnaire. The study confirms that modern Mathematics teachers believe that it is impossible to teach Mathematics for modern students without using PBL and PBT. On the one hand, teachers demonstrate their beliefs in these educational techniques. On the other hand, the survey reveals hidden factors that are inhibitory in the practice of PBL and PBT Mathematics. The study shows the following statistically confirmed factors in teachers' beliefs concerning the use of PBL and PBT Mathematics: Content-Technological Factor; Result & Age Factor; Factor of the Target Audience on the expediency of using PBL and PBT Mathematics; Teacher's Overload Factor; Praxeological Factor; Locality Factor; Teacher's Awarene...

INTEGRACIÓN DE LAS CIENCIAS FUNDAMENTALES Y APLICADAS EN EL PARADIGMA DE LA SOCIEDAD POST-INDUSTRIAL - VOLUMEN 4, 2020

Science and Education a New Dimension, 2019

Universal Journal of Educational Research, 2020

Students' mastering the art of proof is one of the most important educational results of teaching... more Students' mastering the art of proof is one of the most important educational results of teaching Mathematics in the secondary school. The study shows that there are significant challenges, gaps, and weaknesses in the practice of teaching reasoning and proving. The goal of the research is to determine the way of using traditional teaching practices to present reasoning and proving, the way of organizing the review and mastery of the theorem proofs. In addition, the obvious and hidden factors affecting the students' productivity in these activities were identified. To study the problem, a survey that involved 136 Mathematics teachers across Ukraine was carried out. A standard close-ended questionnaire was developed. Factor analysis was used to analyze the results of the survey. The important factors determining the time efficiency when a teacher organizes teaching and learning of a theorem proof, were discovered. The analysis of the factors and numerical loadings of variables forming them, result in the conclusions presented in this paper.

Universal Journal of Educational Research, 2019

Students master the methods of reasoning and argumentation in school mathematics when study theor... more Students master the methods of reasoning and argumentation in school mathematics when study theorems and their proofs. In studying theorems, students must learn to understand the essence of the theorem. For this, special work with the wording of the theorem is necessary. We believe that this work must contain: a) four mandatory stages; b) three stages for students who take a genuine interest in mathematics; c) stage for those who want to go further in learning mathematics. The aim of this study is to investigate the challenges in teacher practices during four mandatory stages; to reveal the obvious and hidden factors that affect student outcomes. For this study, a survey that involved 129 mathematics teachers across Ukraine was carried out. A standard closed ended questionnaire was developed. Several challenges were found in the area of students' motivation, and teachers' lack of understanding of how to most efficiently teach the wording of theorems. Factor analysis was used to analyze the results of the survey, and 10 variables were found to describe how teachers motivated students to learn theorems and taught the wording of theorems.

WIELOKIERUNKOWOSC JAKO GWARANCJA POSTĘPU NAUKOWEGO - TOM 2, 2020

Cherkasy University Bulletin: Pedagogical Sciences, 2019

Highlighting the peculiarities of a healthy lifestyle culture formation with future cyber securit... more Highlighting the peculiarities of a healthy lifestyle culture formation with future cyber security specialists. Methods. During the research, theoretical and empirical methods are used. Results. The research of a healthy lifestyle culture formation peculiarities with future cyber security specialists showed the low level and also the further improvement of theoretical and practical aspects of the students healthy lifestyle culture formation. Originality. The main directions, principles and ways of a healthy lifestyle culture formation among students are determined. The results of the cyber security students questionnaire for the purpose of healthy lifestyle are proposed and analyzed. The conclusion is made about the urgency of the issue of work organization on the formation of a healthy lifestyle culture within a higher education institution, especially for cyber security specialists. Conclusion. Rapid scientific and technological progress, internal socioeconomic transformations of society put higher demands on high school students, especially with regard to the highly relevant «Cyber Security» specialty. This, in its turn, requires a substantial increase in the physical and spiritual potential among the students of this specialty. Consequently, it is necessary to involve student youth in a healthy lifestyle through all available types and forms of activity in higher education institutions. This will help preserve and change the health of the younger generation and lay the foundations for a healthy lifestyle in the next generations.

Global Journal of Human Social Science Research, Mar 5, 2014

The article is an exposure to semiotic-symbolic peculiarities of object-based texts which are the... more The article is an exposure to semiotic-symbolic peculiarities of object-based texts which are the definitions in school math, formulations (descriptions) of some facts and operational methods which are under study in secondary schools.

The content of mathematics education takes on a specific form of existence in a variety of shells... more The content of mathematics education takes on a specific form of existence in a variety of shellsverbal and non-verbal, which are created with the help of sign and symbol means of a different nature. The language is the main means. In teaching signs and symbols perform a substitutional, cognitive, and communicative function; build up an informational basis of students' learning activities. In mastering learning contents signs and symbols are the subject of study, and an instrument of knowledge. Operating sign and symbolic means is a necessary component of students' learning activities, which is directly related to semiosis in students' training activities and enrichment of the conceptual structures possessed and acquired by the students. Mastering different means of fixing the training material contents and every kind of sign and symbolic activity, namely-substitution, coding (decoding), schematization, and modeling is the basis of the information culture and a prerequisite for the development of each student's personality. The selection and use of sign and symbol means should be made on the basis of the analysis of conflicts between the logical and visual. Such conflicts may have not only an objective, historically conditioned character. Most often they are generated by subjective factors-the advent of the students' misunderstanding of the contents of the material and the negative attitudes to the possibility to understand the content, inability to place content in different sign and symbolic shell, the presence of adhesions (but not a dialectical unity) of content and form which were formed in the prior learning students' experience, etc. Adequate conditions for the training and development of all students in the course of mathematics acquisition are created through a comprehensive, systematic and activity approaches to the use of verbal and non-verbal sign and symbol means. Thus, the new goal in teaching mathematics is the ensuring of the two processes unity: the formation of subject knowledge, skills and abilities, on the one hand, and the experience of independent sign and symbolic activities of students, on the other hand.

American Journal of Educational Research, 2014

The article considers the certain features of the development of learners' logical reasoning in c... more The article considers the certain features of the development of learners' logical reasoning in classes with different subject-specialization at secondary school. A short author's review of literature suggests that three main directions have been formed in the theory of teaching mathematics in the last 50-60 years in Ukraine. The author investigates them in brief. The analysis shows that the current approach to forming pupils' logical thinking, significantly varies depending on the subject-specialization and the level of mathematics training. More detailed investigation of particular methods and techniques of teaching the elements of mathematical logic in classes with advanced study of mathematics are given in the article.

American Journal of Educational Research, 2014

The article necessitates the introduction of a subject "Methods of teaching mathematics in higher... more The article necessitates the introduction of a subject "Methods of teaching mathematics in higher education" to the undergraduate's curriculum of mathematics students. The subject curriculum is presented, its goals and objectives are described, the contents of lectures and workshops are detailed on, the contents of the independent study material are provided, and the level-related requirements to the results of the study of this discipline by the students are offered.

American Journal of Educational Research, 2013

American Journal of Educational Research, 2015

The article focuses on semiotic and semantic features of the mathematical tasks which are set in ... more The article focuses on semiotic and semantic features of the mathematical tasks which are set in the course of teaching mathematics to primary school education students. The data are analysed and experimentally confirmed.