scholarly journals FORMATION OF COMPONENT OF METHODICAL COMPETENCE OF FUTURE MATHEMATICS TEACHERS ABOUT TEACHING PUPILS TO PROVE MATHEMATICAL STATEMENTS

2020 ◽  
pp. 110-118
Author(s):  
Niedialkova K.V.
Keyword(s):  
Mathematics Teachers ◽  
Experimental Work ◽  
Professional Training ◽  
Research Topic ◽  
Educational Activity ◽  
Future Teachers ◽  
Logical Foundations ◽  
Individual Work ◽  
Mathematical Processing ◽  
Methodical Problem

Актуальність дослідження визначається положенням, що вивчення теорем та їх доведень є одним з ключових завдань шкільного курсу математики і водночас важливою методичною проблемою, оскільки останнім часом засвідчується зменшення інтересу здобувачів середньої освіти до доказових міркувань. Метою статті є з’ясування й експериментальна перевірка умов ефективного формування складника методичної компетентності майбутніх учителів математики щодо навчання учнів доводити математичні твердження. Під час педагогічного експерименту автором було використано власні мето-дичні розробки з досліджуваної теми, включаючи демонстрацію основних етапів роботи над теоремами, тестові завдання, завдання для самостійної та індивідуальної роботи, презентації, QR-словник понять теми дослідження тощо. Для реалізації експерименту та з’ясування його ефективності використано такі методи, як-от: аналіз нормативних освітніх документів, педагогічне спостереження, анкетування студентів, бесіди з учителями і викладачами, аналіз модульних контрольних робіт з фахової дисципліни «Шкільний курс математики і методика його навчання», математична обробка результатів експеримен-тальної роботи. Висновками з проведеної роботи були визначені умови щодо вдосконалення фахової підготовки майбутніх учителів математики стосовно формування такого складника їхньої методичної компетентності, як навчання учнів доводити математичні твердження, із-поміж яких: вміння здійсню-вати пропедевтичну роботу; набуття глибоких і міцних знань щодо логічних основ ШКМ, принципів і прийомів навчання школярів готових доведень та самостійного пошуку учнями доведень математич-них тверджень; здійснення творчого підходу до реалізації основних етапів роботи з теоремами; усві-домлення значущості та доречності застосування різних способів доведень теорем; урізноманітнення викладачем фахових дисциплін методів, засобів, форм організації навчальної діяльності студентів та ін.Перспективою подальших досліджень є визначення умов підвищення ефективності формування інших складників методичної компетентності майбутніх учителів математики. The relevance of the article is determined by the fact that the study of theorems and their proofs is one of the main tasks of the school course of mathematics and, at the same time, an important methodical problem, as recently there has been a decrease in pupils’ interest in evidence. The purpose of the article is to clarify and experimentally test the conditions for the effective formation of a component of the methodological competence of future mathematics teachers to teach pupils to prove mathematical statements. During the pedagogical experiment the author used his own methodical tasks on the research topic, including demonstration of the main stages of work on theorems, test tasks, tasks for independent and individual work, presentations, QR-dictionary of research topic concepts, etc. To implement the experiment and determine its effectiveness, the following methods were used: analysis of normative educational documents, pedagogical observation, questionnaires of students, conversations with teachers, analysis of modular tests in the discipline “School course of mathematics and methods of its teaching”, mathematical processing of results of experimental work. The conclusions of the research are certain conditions for improving the professional training of future teachers of mathematics, namely: the formation of such a component of their methodical competence as teaching pupils to prove mathematical statements. Among these conditions are ability to carry out propaedeutic work; acquisition of deep and solid knowledge about the logical foundations of SCM, principles and methods of teaching pupils ready-made proofs and independent search by pupils for proofs of mathematical statements; using of a creative approach to the implementation of the main stages of work with theorems; awareness of the significance and appropriateness of the application of different methods of proving theorems; diversification by the professor of methods, means, forms of the organization of educational activity of students, etc.The prospect of further research is to determine the conditions for improving the effectiveness of the formation of other components of methodical competence of future teachers of mathematics.

scholarly journals EXPERIMENTAL VERIFICATION OF THE EFFICIENCY OF PEDAGOGICAL CONDITIONS FOR INTENSIFYING THE EDUCATIONAL ACTIVITY OF FUTURE TEACHERS-ENGINEERS OF COMPUTER PROFILE IN PROFESSIONAL TRAINING

2020 ◽  
pp. 30-37
Author(s):  
Olha YESIPOVA ◽  
◽  
Mykhailo MEDVID ◽  
Keyword(s):  
Higher Education ◽  
Information And Communication Technologies ◽  
Professional Training ◽  
Educational Process ◽  
Educational Activity ◽  
Internal Quality ◽  
Control Group ◽  
Future Teachers ◽  
Educational Activities ◽  
Experimental Group

Responding to identified shortcomings is components of the internal quality assurance system of a higher education institution. A study of the educational activities of future teachers-engineers of computer profile found that most students are not going to devote their career to teaching, thus preferring engineering. Undoubt- edly, higher education institutions must respond to the requests of stakeholders, especially those seeking higher education. On the other hand, there are requests from employers (educational institutions) for teachers-engineers of computer profile. Therefore, further research was aimed at enhancing cognitive activity primarily by increasing motivation for pedagogical activity. Methods: pedagogical experiment. Results. An experimental test of the effectiveness of pedagogical conditions for intensifying the educational activities of future teachers-engineers of computer profile in professional training. Originality. The results of the study testify to the effec- tiveness of certain pedagogical conditions for intensifying the educational activities of future teachers-engineers of computer profile: changes of external motivation to internal will take place if the information and communication technologies are introduced into educational process of studying peda- gogical disciplines; change of position in the educational activity of future teachers-engineers of computer profile in the study of pedagogical disciplines will take place under the condition that students apply a project approach to the organization of their own educational activity; intensification of educational activity due to its correc- tion in future teachers-engineers of computer profile in the process of operative feedback at each stage of educational activity. Comparative analysis of experimental data shows an increase in the percentage of students of the experimental group compared to the control group with a high level of educational activities of future teachers-engineers of com- puter profile in the study of pedagogical disciplines for a stable active position of educational activity – by 34%, internal motivation to study – by 32%, by the ability to plan and organize their own educational trajectory – by 32%, by academic performance – by 25%). When comparing the results before and after the ex- periment: in the control group the empirical values of the criterion χ2 are less than critical, the characteristics of the compared groups coincide at the level of significance of 0.05; in experimental group the empirical values of the criterion χ2 are greater than the critical one, the signifi- cance of the difference in the characteristics of the com- pared groups is 95%.

scholarly journals INVOLVING OF TRAINEES-FUTURE TEACHERS OF PROFESSIONAL TRAINING IN PROJECT ACTIVITIES IN THE DISCIPLINE

2018 ◽  
Vol 6 (2) ◽  
pp. 6 ◽  
Author(s):  
M. P. Prokhorova ◽  
A. A. Semchenko
Keyword(s):  
Experimental Work ◽  
Vocational Training ◽  
Professional Training ◽  
Strong Relationship ◽  
Project Work ◽  
Professional Activity ◽  
Practical Implementation ◽  
Future Teachers ◽  
The Third ◽  
Project Activity

Introduction:The project activity in professional training of future teachers of vocational training ensures its ability to effectively solve pedagogical tasks, participate in teamwork, develop educational systems. The requirements of the future specialist's readiness for the project activity are reflected in the GEF and in the professional standard. This determines the relevance of involving future teachers of vocational training in project activities when mastering disciplines.Materials and methods:Experimental work on involving students in the project activities was carried out in three stages. At first, they had experience of participating in different types of project activities, the second involved work on engaging in project activities, and on the third, the effectiveness of involvement in project activities was assessed. At all stages of the study, methods of observation and generalization of pedagogical experience and questioning were used.Results:The first stage revealed the experience of participation in the project activity (the students took part in the development of the content and the project), the sources of difficulties for the students in the project activity (related to the search for ideas, practical implementation of the project and evaluation of its results) obtaining meaningful results and developing teamwork skills). At the second stage, methodical support of the project activity was developed within the framework of the discipline; experimental work in this direction was carried out. At the third stage, the trainees called the skills they perceived as new (to conduct assessment and self-evaluation of the results of the project work, to apply in ICT projects and on-line resources, etc.), indicated the existence of a strong relationship between the gained experience of the project activity and future professional activity, showed a decrease in the share of difficulties in the project work.Discussion and Conclusions:conclusions were drawn about the significant pedagogical potential for involving learners in the project activity in the discipline, provided that the quality of the methodical study of its content and the provision of project assignments at each stage with future professional activity are provided.

scholarly journals PECULIARITIES OF INNOVATIVE TEACHING INSTRUMENTS APPLICATION DURING PROFESSIONAL TRAINING OF FUTURE TEACHERS OF MATHEMATICS

2019 ◽  
pp. 314-323
Author(s):  
Helena Sinyukova ◽  
Oleg Chepok
Keyword(s):  
Secondary Education ◽  
Mathematics Teachers ◽  
Professional Training ◽  
Educational Institution ◽  
Innovative Technology ◽  
Mathematical Education ◽  
Future Teachers ◽  
Innovative Teaching ◽  
Short Period ◽  
Training Courses

Peculiarities of innovative teaching instruments application during the professional training of future mathematics teachers of secondary education institutions are considered in the article. The authors assume that an education of a student of a higher educational institution is significantly different from their education at an educational institution of a lower level by the fact that during a very short period of time it is necessary to master effectively a very large amount of information, gain a lot of corresponding skills. The fact is determinant for choosing appropriate innovative teaching instruments and specific forms of their implementation in institutions of higher education in general and in institutions of higher pedagogical education in particular. Vocational subjects for future teachers of mathematics can be divided into three groups: pedagogy and psychology, courses of mathematics in institutions of secondary education and methods of their teaching, mathematical disciplines of higher mathematical education. Only the training courses of the last two groups are considered. The general characteristic of their current state is given. The comparative analysis of the modern methodological concept of training courses packages formation in higher mathematics for future mathematics teachers of institutions of secondary education and the corresponding methodological concept of the 70-80s of the last century was represented. The necessity of thorough systematic work of every teacher of higher mathematics on the formation of the students' perception of the necessity of a precise substantiation of all statements to be proved is highlighted, that is, on the perception of the necessity of full argumentation in all cases, on the formation of appropriate skills. Fundamentally important directions for such a work are outlined. Problem-oriented training is defined to be the most appropriate innovative technology for the third-level educational disciplines, based on own experience, examples of such training methods for different types of training sessions and control measures are provided. The authors’ understanding of practice-oriented training is formulated. Changing of fundamental nature in curriculum of future teachers of mathematics are proposed after careful argumentation. According to the authors’ point of view such changes can ensure the sufficient level of practice-oriented training. Directions of further research are outlined.

scholarly journals Developing Competency in Local History in Future Teachers

2020 ◽  
Vol 12 (4) ◽  
pp. 240-267
Author(s):  
Oksana Volodymyrivna Braslavska ◽  
◽  
Inna Heorhiivna Rozhi ◽  
Vitalii Volodymyrovych Honcharuk ◽  
Valentyna Pliushch ◽  
...  
Keyword(s):  
Experimental Work ◽  
Professional Training ◽  
Local History ◽  
Educational Process ◽  
Future Teachers ◽  
Competency Based ◽  
Cognition And Knowledge

The research analyzes the process of developing competency in local history in future teachers as one of the components of their professional training. It shows that the development of components of competency in local history contributes to developing the teacher’s personality as a researcher and specialist in terrain geography. It presents the author’s model for training future teachers (based on the example of geography teachers) for local studies and tourist activities following a competency-based approach. This model consists of several blocks and their parts: targets (goals, objectives), methods and structure (approaches, principles, the subjectivity of relationships between participants in local studies and tourist activities, components of competency in local history and their criteria), content and procedures (stages, content, forms, methods, technologies, pedagogical conditions), evaluation and outcomes (levels, as well as the results obtained from the introduction of the author’s model into the educational process). Also, the research specifies the following criteria of future geography teachers’ competency in local history: motivation and values, cognition and knowledge, activities and practice. It clarifies low, average and high levels of future geography teachers’ competency in local history. It demonstrates the organization and the course of experimental work. Finally, it draws relevant conclusions about the effectiveness of proposed pedagogical conditions for developing competency in local history in future geography teachers following a competency-based approach.

scholarly journals MODERN FORMS, METHODS AND MEANS OF TRAINING FUTURE TEACHERS OF THE NEW UKRAINIAN SCHOOL FOR THE DEVELOPMENT OF CREATIVE ABILITIES IN PRIMARY-SCHOOL PUPILS

2020 ◽  
pp. 80-87
Author(s):  
Lyudmila Koroliova
Keyword(s):  
Primary School ◽  
Primary Schools ◽  
Professional Training ◽  
Educational Activity ◽  
Future Teachers ◽  
School Teachers ◽  
Educational Activities ◽  
Primary School Teachers ◽  
Scholarly Publications ◽  
Creative Abilities

The study is devoted to the problem of training future teachers for the development of creative abilities of pupils during the educational activities in primary school. It is determined that the crucial professional modernization of higher education, the transition to the newest activity paradigm of the pedagogical process guide towards radical redefining of existing ideological strategies and confirmation of new ideological strategies for the training of a new generation of teachers for primary school. They are professionals capable of finding and mastering new knowledge, with the purpose of generating new ideas and initiatives to implement them for improving both their own social status and welfare, and the development of society and the Ukrainian state as a whole. The conceptual foundations of the training of future teachers for the development of creative abilities of pupils of primary schools, as well as the role of this profession in the context of historical development of education are revealed. The contradictions that impede the training of future teachers are outlined. The domestic and foreign experience of primary-school education and the current state of professional training of future specialists of the initial level in Ukraine, European countries and Great Britain are analyzed; the tasks and perspectives of solving the issues of future teachers training for the development of pupils’ creative abilities in educational activities during the process of their professional training are determined. It is proved that the significant potential in solving the above tasks can be found in a creative-oriented paradigm of teaching of future primary-school teachers: the significant strengthening of their professional training, the creation and the construction of a platform on which the interpersonal subject-subject interaction of the teacher and the student will be developed on the principles of «creative development». The analysis of scholarly publications on the subject of the research shows that the readiness of future specialists to develop the creative abilities of pupils in the educational activity of primary school is an important element of the professional formation and professional ascent of future primary-school teachers to the heights of his/her mastery and competence; it is one of the parameters of his/her professional readiness, which significantly influences the effectiveness of the pedagogical process and the results of the specialist’s activity.

scholarly journals The problem of training future teachers of Natural Sciences: analytical review

2019 ◽  
pp. 126-133
Author(s):  
Nadiia Gramatik
Keyword(s):  
Science Teachers ◽  
Professional Training ◽  
Biology Education ◽  
Natural Sciences ◽  
Educational Process ◽  
Educational Activity ◽  
Future Teachers ◽  
Future Science ◽  
The Future ◽  
Biological Education

The reforming of school natural science education is part of the process aimed at updating educational systems, which has a general European tendency. The content orientation of the field representing natural sciences of general secondary education towards the formation of core competences and effective mechanisms of their introduction causes intensive changes in the training process intended for the future science teachers of the new formation. The component of natural education is biological education which is realized by studying Biology as a school course. Since natural knowledge in the process of external interaction purposefully influence the formation of schoolchildren’s natural outlook, this is the social order that determines the content of biological education and the potential within the education of a certain type of personality. Therefore, the new formats of biological education in the context of the New Ukrainian School are aimed at forming schoolchildren’s motivation for educational and cognitive activities, life competencies, and an active life position. The driving force facilitating the realization of innovations in biological education is a competent teacher as a subject of an innovative educational activity. In this case, the priority way in the professional training of future science teachers is the shift of emphasis from the amount of knowledge to the development of pedagogical interaction skills. This is the ability of the future specialist to work in a team, to negotiate, to make prudent decisions that makes him / her competitive. The basic condition for such an activity is the professional potential of the future teacher which manifests itself in his / her readiness for creative interaction with schoolchildren. The transfer of the study of Biology into the plane of the competence-based educational environment focuses educators’ attention on the person-centred approach to learning. The relationship between the teacher and the schoolchildren should be collaborative, in the course of which schoolchildren become not only the objects of influence, but also become participants of a joint activity. According to these approaches to teaching Biology, the interaction of the subjects of the educational process acquires organized forms of cooperation, the specific characteristic of which is the complementarity of the schoolchild and the teacher. The obviousness of the dialogical educational interaction contributes to the introduction of the elements of teachers’ / students’ creativity into the pedagogical process and motivates them to intellectual growth. Subjectivity as a paradigmatic feature of biology education lies in the pedagogical position of the teacher, since it is profession-oriented and determines the personalization of pedagogical interaction. Therefore, the subjective factor of the pedagogical activity of future teachers of natural sciences becomes a kind of trajectory of self-development and self-affirmation. Keywords: subject, competence-oriented teacher, pedagogical interaction, person-oriented environment, pedagogical communication.

scholarly journals Professional Training of a Teacher to the Practical Realization of the Idea of the New Ukrainian School

2019 ◽  
pp. 211-225
Author(s):  
Olena Khmelnytska
Keyword(s):  
Adaptive Learning ◽  
Professional Training ◽  
School Teacher ◽  
Cognitive Activity ◽  
Virtual Classroom ◽  
Theory And Practice ◽  
Educational Activity ◽  
Practical Training ◽  
Future Teachers ◽  
Holistic View

The article describes the main components of the teacher’s professional training for the implementation of the idea of the New Ukrainian School, the role of integrating the theoretical and practical training of future teachers, and the peculiarities of the introduction of dual education into pedagogical activity. The innovative methods, technologies and forms of educational activity organization during the study of theoretical foundations of pedagogy, the peculiarities of their application in practical and seminary classes, have been separated, in particular, individualized and differentiated learning, group forms of activity, mixed and adaptive learning, a digital storytelling, a personalized learning, an inverted class, a virtual classroom, a gaming education, STEM education, a training, debate, etc. The main aspects that promote the professional competencies of students, their technological and personal readiness, and the formation of a competitive specialist in this field during the pedagogical practice are investigated. The correlation between theory and practice in pedagogical activity has certain regularities. The objective laws of pedagogical activity determine only its main direction. The forms of manifestation of pedagogical patterns are multivariate; in different situations they can be different and determined by specific conditions. The theory of pedagogy gives only a possible choice of methods, techniques, means and forms of content implementation, but can not predict many specific situations, give timely guidance for each case. The integration of theoretical and practical future teachers’ training contributes to activating cognitive activity of students, forming a holistic view of the future profession, creating the optimal conditions for gaining strong knowledge and skills in the work. A student integrates into the school system, improves the theoretical and methodological knowledge, practical skills and examines the age and psychological characteristics of children. The New Ukrainian School is designed to form a person capable of being successful in life, holistic and versatile, initiative, patriot with an active position, an innovator capable of changing the world. To accomplish the above tasks, a professional teacher must possess a range of competencies such as informational, digital, research, civic, linguistic-communicative, social, technological, etc. An educational activity at the institution of higher education is constructed in such a way as to ensure the formation and improvement of the professional competences necessary for the New Ukrainian School teacher. The specificity of the professional training of future teachers is to ensure continuity and integration of the theoretical and practical components of training.

scholarly journals ENABLING FUTURE TEACHERS OF PHYSICS TO APPLY INVARIANTS OF EDUCATIONAL AND COGNITIVE ACTIVITIES

2019 ◽  
pp. 95-103
Author(s):  
Oleksandr Ivanytskyi
Keyword(s):  
Professional Training ◽  
Research Work ◽  
Educational Process ◽  
Educational Activity ◽  
Professional Activity ◽  
Pedagogical Practice ◽  
Future Teachers ◽  
Educational Activities ◽  
Physics Teachers ◽  
Teachers And Students

The article examines the concept of invariant which is presented as an indicative framework for teachers and students and describes a sequence of actions which reflect teacher's understanding of future activities. The author identifies a generalized invariant of students’ educational activity methods which corresponds to each element of knowledge: a) activity on knowledge creation; b) recognition of situations that correspond to knowledge; c) reproduction of situations that correspond to knowledge. The article also considers the hierarchy of invariant specialization levels in terms of teacher and students' work in the context of teaching physics notions. To aquire the skill to use educational invariants in their professional activity, future teachers of physics are supposed to do specially selected tasks which enable them to vary the acquired skills and abilities for a more profound learning. To achieve this, students should be provided with guidelines which help them unify educational process and create real situations that reflect their own learning activities. These guidelines are descriptions of invariants to train physics teachers and students. In addition, authorial system of future physics teachers' activities is invariant according to the criteria for evaluation and self-assessment of authorial system components work. Future teachers of physics' skill to use invariants of educational activities was acquired due to the fact that their professional training was based on the context approach which implements a dynamic model of students' educational activity: from their own educational activities (in the form of lectures) through quasi- professional (role and business games) and educational-professional (research work of students, pedagogical practice) to the professional activity of the teacher of physics.

scholarly journals ФОРМУВАННЯ ЦИФРОВОЇ КОМПЕТЕНТНОСТІ МАЙБУТНІХ УЧИТЕЛІВ МАТЕМАТИКИ: КОНСТАТУВАЛЬНИЙ ЕТАП

2018 ◽  
Vol 65 (3) ◽  
pp. 184 ◽  
Author(s):  
Oleksandr H. Romanovskyi ◽  
Valentyna M. Grineva ◽  
Oksana A. Zhernovnykova ◽  
Liudmyla A. Shtefan ◽  
Vasyl V. Fazan
Keyword(s):  
Mathematics Teachers ◽  
Professional Training ◽  
Digital Technologies ◽  
Pedagogical Practice ◽  
Future Teachers ◽  
Digital Competence ◽  
Professional Activities ◽  
Learning Content ◽  
Scientific Analysis ◽  
Processing Information

The article is devoted to determination of the levels of the digital competence of future mathematics teachers at the ascertaining stage of the pedagogical experiment. A scientific analysis of the essence of the notion «digital competence» is carried out, its components are defined. In the process of research the components of the formation of the digital competence of future mathematics teachers were defined, namely: value-motivational (motives, goals, needs for professional training by means of digital technologies, improvement, self-education, self-development, stimulate a future teacher of mathematics to use digital technologies in learning); content (free use of the skills of processing information and working with digital objects, which respectively influence the formation of the digital competence of future mathematics teachers); activity (active use of digital technologies and computers in educational activities as a means of knowledge and formation of digital competence, self-improvement and creativity of future teachers of mathematics, as well as cultivation of similar qualities in students in the process of pedagogical practice); reflexive (attitude of future teachers of mathematics to digital society, their digital training, responsibility for the results of their activities in the digital educational space, self-knowledge and self-realization in future professional activities through digital technologies). The article specifies the criteria, indicators and levels of digital competence of future mathematics teachers. To test certain criteria for the formation of digital competence of future mathematics teachers, research methods are characterized. The results of the ascertaining stage of the pedagogical experiment gave grounds to state primarily medium and low levels of the digital competence of future mathematics teachers. As the next direction of scientific research on the presented problem, the authors consider theoretical justification of the technology for the formation of digital competence and its implementation in the process of training future mathematics teachers at the following stages: basic, technological, and professional.

scholarly journals Peculiarities of professional tarining of higher education seekers of pedagogical specialties in conditions of emergency remote teaching (on the example of classical and technical universities)

2020 ◽  
Keyword(s):  
Higher Education ◽  
Online Education ◽  
Empirical Research ◽  
Mobile Learning ◽  
Professional Training ◽  
Educational Material ◽  
Educational Process ◽  
Educational Activity ◽  
Individual Work ◽  
Virtual Interaction

The article considers the problem of organization of professional training of higher education seekers of pedagogical profile in conditions of emergency remote teaching on the example of classical and technical universities. The authors clarified the essence of the terminological field of research «online education», «mobile learning», «emergency remote teaching», and characterized their features. Based on scientific generalizations and results of empirical research, essential features of organization of professional training of higher education seekers of pedagogical specialties in terms of classical and technical universities were determined, the algorithm of certain actions, which will lead to achieving success in educational activity, and its components were named. The necessity of establishing contact between all participants of educational process; the necessity of setting priorities in determining the workload of students with educational material; the necessity of implementing a competence building approach in the organization of individual work of students; the necessity of using cooperation technology; the necessity of choosing and implementing cloud tools of virtual interaction of participants of the educational process were characterized. In the course of questioning higher education seekers of pedagogical specialties in terms of classical and technical universities, the peculiarities of organization of professional training of future higher education teachers in conditions of emergency remote teaching, their influence on the success of higher education seekers in professional training and motivation to study were established.

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