Педагогика

https://doi.org/10.53656/ped2023-2.10

2023/2, стр. 261 - 275

ADVANTAGES OF USING GEOGEBRA SOFTWARE WHEN EXAMINING THE FLOW AND DRAWING A GRAPH OF A FUNCTION

Elena Gelova
OrcID: 0000-0001-5893-7435
E-mail: elena.gelova@ugd.edu.mk
University Goce Delcev
Stip North Macedonia
Mirjana Vitanova
OrcID: 0000-0002-2444-2917
E-mail: mirjana.kocaleva@ugd.edu.mk
University Goce Delcev
Stip North Macedonia

Резюме: For a long time, the term function has been treated as a mandatory topic in mathematics curricula around the world. It aims to emphasize the importance of this topic of mathematics in higher education, at technical faculties. In addition to the classic way of learning blackboard and chalk, today all over the world a variety of interactive mathematical software is often used in the study of the topic functions. The software helps students to learn how to recognize functions, to examine their properties, and draw them accurately. In this paper, the importance of the mathematical term function in higher education at technical faculties is stated. It also lists the ambiguities that students face when mastering the topic of functions. Then, software for drawing graphs of functions (material that is taught in the subject Mathematics 1 at technical faculties) is listed to help students master that material more easily. Finally, a comparison is made in the results of the final exams in Mathematics 1, before students are recommended to use GeoGebra and after using the software. A conclusion is drawn from the results and the advantages of using the mathematical software are presented.

Ключови думи: GeoGebra; function; graph; results

1. Introduction

The mathematical notion of function is learned from primary education. However, primary and secondary school students face difficulties in understanding this important mathematical term. In the paper we will mention the ambiguities about the functions that prevail among the students of the technical faculties in higher education. Students often have the task of examining the flow and drawing a graph of a function, the solid students most often know how to examine all the function properties, but at the end they make a mistake when drawing the graph. The weaker ones have problems examining the properties. Quite often they do not know or make mistakes in finding and drawing asymptotes, in examining parity, etc. Confirmation of this are the results obtained of the final exam in the subject Mathematics 1. At the final exam, students, among other tasks, had the task to examine the flow and draw the graph of the function.

This paper will present the results of the exam in the mentioned subject in the February exam period. We will list the students' mistakes and show some of their graphic drawings. Then the results of the April session, conducted after the consultations in which an exercise was conducted with the GeoGebra software on the mentioned topic, will also be stated.

2. Review of Related Studies

Nowadays, software is presented to us as the most applicable tool for students, because of students’ connection with technology. The term Open Source Software (OSS) allows user to download any softwares that are available and suitable for the users. Until August 2010, there are more than 240,000 software projects that have been registered in SourceForge.net which is the world’s largest open source software development site \({ }^{1}\). Softwares which are similar to OSS and related to mathematics instructions such as SAGE, FreeMat, GeoNet, JLab, Maxima, Axiom, YACAS, JsMath and others are ready to be downloaded and used in teaching and learning. GeoGebra as a Dynamic Geometry Software can be used as an effective tool in learning by way of visualization to promote learning and enhance understanding. Similarly with the utilizing of Geometer’s Sketchpad as a visualization tool in learning mathematical concept found by (Teoh and Fong 2005; Royati et al. 2010) showed that the use of GeoGebra enhanced the students’ performance in learning Coordinate Geometry. GeoGebra is a highly used and attractive software for students. Using it, students can construct figures and gain a higher understanding. In the classical method, students construct and practice accuracy themselves. As a result, the chances of giving up mastering the curriculum are high (Mollakuqe et al. 2021) using GeoGebra software gave pedagogical, methodological, and statistical data into teaching circle properties. Praveen and Kwan (2013) discuss in detail the use of GeoGebra software to conduct learning of circles in mathematics. Martinovski (2013; Quinlan 2016; Segal, Stupel, and Oxman \(2016{ }^{2}\) promoting GeoGebra as a tool for technology use in mathematics teaching and learning.

Kieran (1992) explores the problems in understanding the term function whether due to insufficient commitment of students or misunderstanding is associated with inappropriate approach to teaching by teachers. Tall (1996) deals with the changing perceptions of functions and calculus in recent years, both in terms of research into cognitive development of concepts and curriculum developments using computer technology. One purpose of the function is to represent how things change. With this meaning it is natural to move on to consider the calculus concepts of the rate of change (differentiation) and cumulative growth (integration).

R. S. Uddin (2011) within his research set out to explore the function of GeoGebra, as a pedagogical tool and mediating artifact in the teaching and learning of transformation of functions in secondary school mathematics; and whether interaction with these virtual manipulatives enhance the understanding of mathematics concepts. He concludes that the development of mathematical ideas and concepts through computer-based teaching and the role GeoGebra plays in the understanding of and visualization of certain mathematical concepts in high school algebra topics.

Michael, S., Ami, H. and Margaret, S. (2013) in their study describes teacher learning in a teaching experiment consisting of a content-focused methods course involving the mathematical knowledge for teaching function. Prospective and practicing teachers in the course showed growth in their ability to define function, to provide examples of functions and link them to the definition, in the connections they could make between function representations, and to consider the role of definition in mathematics. E. Ruhama (1990) shows how one may approach the question of teachers' knowledge about mathematical topics.

In many countries, the first concepts of calculus (such as functions) are taught by looking at examples, noticing their properties and generalizing from them in some implicit ways. Students have no means to discuss the general truth of a statement, or to examine the validity of a theorem, relative to the mathematical field. This knowledge is nonetheless required by teachers at the university level. The question is, therefore, if it is possible to organize activities for beginning calculus students, which would nevertheless lead them to working on statements and validity of theorems. In his paper B. Immanuel (2003) presented a teaching approach related to the concept of function, which aimed at leading students working within a graphic milieu to producing, discussing, and testing the validity of mathematical statements and theorems.

M. Kocaleva et al. (2016) analysed and compared the results of the electronic testing (e-testing) for the subject Mathematics 2 within University “Goce Delcev” – Stip using statistical data processing. Electronic testing covers the topic “Integral”. L. Loku et al. (2019) in their paper research is aimed at data analysis of student’s outcomes for the subject mathematics at university level. The results obtained from the overall testing, is processed with statistical data analysis (demographic characteristics, descriptive statistics, frequency distribution). E. Karamazova et al. (2021) analyzed and compared the results of the final exam for the subject Operating Systems for the students from different academic year: one from academic year 2018/2019 when the teaching was performed in a classical way and the second one from academic year 2019/2020 when the teaching was performed online through the platform Microsoft Teams. Both group of students are from Faculty of computer science at University “Goce Delcev” – Stip and they study the subject Operating Systems in the fourth semester. The aim of the paper is using descriptive statistics and other statistical methods to draw a conclusion which way of learning gives better results in student achievement.

R. Trifonov et al. (2018) presented the procedure for determining a conditional extremity of a function with two variables, presented that the point is finding the curve in the space obtained as a cross section on two surfaces and by using free software they have visualization of the conditional extremum. Authors use GeoGebra.

R. Atanasova-Pacemska et al. (2016) analysed the perceptions and attitudes about the use of ICT tools for visualization as a “modern” approach for solving geometry problems in primary schools in Macedonia. The obtained results of the research are processed with the software package SPSS19.

D. Jovanovska et al. (2015) gave a proposal about how to improve the evaluation process in mathematics by using electronic tests created by multimedia software known as Wondershare quiz creator software. Then, comparison is made between students’ outcomes when electronic tests were used, and their outcomes gained by old- fashioned testing system pencil/paper. From the research results, they conclude that the method of testing is very helpful for students and teachers.

The education of mathematics and achievement of formal knowledge of mathematics is an important tool for its understanding and application in other sciences. On the other hand, mathematics is not very popular among the students. R. Atanasova-Pacemska et al. (2015) present their research which was conducted among students in the final year of primary education, locally in Stip, Republic of Macedonia, to determine the factors that influence the formation of students’ attitudes for mathematics in schools. The results of the survey they were processed with statistical software SPSS 21. The ANOVA was applied to determine whether there is a significant difference between students' attitudes towards mathematics and the factors.

The paper of S. Pacemska et al. (2014) is focused on processes of modernization of teaching mathematics in primary schools by using ICT. K. F. Hollebrands (2007) highlighted that new learning opportunities are provided in technological environments which potentially help students to engage with different mathematical objects and level of understanding. ICT also adds a new dimension to the teaching and learning of Mathematics by helping students to visualize certain mathematics concept \({ }^{4}\). Literatures had shown that the advancement of computer has brought great innovation and thus school teachers need to be competent in using computers so that they would maximize its use in teaching and learning (Kumar, Rose, and D'Silva, 2008).

Teaching and learning with the use of technology has many advantages such as providing greater learning opportunities for students (Roberts 2012) enhancing student engagement (White 2012) and encouraging discovery learning (Bennet 1999). In the teaching and learning of Mathematics, especially geometry, it is important for students to be able to imagine, construct and understand construction of shapes in order to connect them with related facts. Therefore, a computer will assiststudentsin imagining and making observations (Dogan and Icel2010).

3. Objectives of the Study

– To find a solution how to improve the results of the final exam

– To find a solution to make the topic of functions more accessible and more interesting to the students for whom this research is intended

4. Statistical Techniques Used in the Present Study

GeoGebra software and Excel t-test were used for data analyzing and deriving conclusions.

5. Data Analysis and Interpretation

In the main study the focus is on emphasizing the need for new teaching activities in the teaching process for the subject Mathematics 1 in the dispersed studies in the city of Kavadarci at the Faculty of Natural and Technical Sciences at the University Goce Delchev. In Kavadarci is placed one smaller, regional teaching center within the University Goce Delchev – Stip, with smaller number of students compared to the main seat of the Faculty of Natural and Technical sciences in Stip. Mostly local students with different success are enrolled here. There are excellent students but there are also many with poor success. The idea for this research came from the results of the exams in the subject Mathematics 1. Quite often the students had problems with the task of examining the flow and drawing a graph of a function. The teaching was mainly realized with chalk and blackboard. Due to the very extensive teaching content in the mentioned subject of the classes, several tasks were solved using chalk and blackboard. After the completion of the planned material and the realized colloquia, there is a final exam. From the reviewed group of 42 students, 30 received the final exam in the January-February exam period. More detailed information about the group of 42 students can be found in Table 1.

Table 1. Information about students

VariablesNGroup42Age18-2128other14GenderF27M15

Out of the registered students only 3 had correctly solved the task to examine the flow and to draw the graph of the function. The other ones had an error in examining parity, error in finding asymptotes, error in finding extremes, error in finding crossing points, error in drawing a graph. So, there were 2 students who had exactly examined the property of the function they were given and yet they had not drawn the graph exactly.

The following is an overview of some of the student drawings:

Figure 1. Graph of the function \(f(x)=\tfrac{1+x^{2}}{x}\) drawn by a student at the final exam

Figure 2. Graph of the function \(f(x)=\tfrac{x+1}{2 x-3}\) drawn by a student at the final exam

Figure 3. Graph of the function \(f(x)=\tfrac{1}{1-x^{2}}\) drawn by a student at the final exam

From the few drawings we can see the large number of mistakes and difficulties of the students for this part. The teaching content for the subject Mathematics 1 is extensive and according to the curriculum, as much as it has provided, so much we have in the realization of the teaching dedicated to the part for examining the flow and sketching the graph. From the results we can see that those classes are not enough for the students to master that part of the material. If there was time, of course, mathematical software would be inserted to overcome the ambiguities that students have about the stated content.

After the exam in January-February, the first session after finishing the course, we decided to call the students for consultations and advise them to use mathematical drawing software to help them overcome the ambiguities and identify mistakes. Without thinking, we recommended it to be a GeoGebra. GeoGebra is a mathematical software used worldwide at all levels of education. We made the decision about the software quite quickly because we knew that we only need a few hours with the students to explain how to install and use it, how to check their results and to see the mistakes. GeoGebra finds the extremities, the transition points if any, the asymptotes, draws a graph and so on. From graph we can see and check that we have examined the parity accurately оf the function, to see if there are intersections with the coordinate axes, the intervals of monotony and convexity and concavity.

During consultations we learn GeoGebra software and solving GeoGebra tasks. The functions whose graphs with errors were previously listed were also drawn. From the figures themselves, the students saw their own mistakes and overcame the vague things. The graphs of the previous listed functions in GeoGebra are given in

Figure 4, 5 and 6.

Figure 4. Graph of the function xxxf21)(+= drawn by GeoGebra

Figure 5. Graph of the function 321)(+=xxxf drawn by GeoGebra

Figure 6. Graph of the function 211)(xxf= drawn by GeoGebra

The students quickly mastered the software i.e., the part of the software that they needed. When practicing tasks at home, they first tried to solve the task and if they encountered a problem, they sought the solution with GeoGebra. Some students solved the task from the beginning to the end and at the end with GeoGebra they just checked the solution and saw the accuracy of the task. Before the exam in the April exam period, the students were invited to another consultation with which we aimed to see if there is an improvement in the students' knowledge. Major improvements were noted.

The test results in February session are shown in the Table 2.

Table 2. Students’ achievements in the February session

Number of students30Passed6did not pass24student achievementsGradesNumber of students10291817/62524

Statistics is given in Figure 7.

Figure 7. Statistical data for exam in February session for subject Mathematics 1, Faculty of Natural and Technical Sciences Kavadarci, UGD Stip

From Table 2 we can see that there were 30 students who have taken the exam, but the passing was insignificant in the February session. In the follow there are the results in April session

Table 3. Students’ achievements in the April session

Number of students31Passed23did not pass8student achievementsGradesNumber of students1019484766858

Statistics is shown in Figure 8.

Figure 8. Statistical data for exam in April session for subject Mathematics 1, Faculty of Natural and Technical Sciences Kavadarci, UGD Stip

From Тable 3. it is obvious that there are many passed students with different passing grades. It is proof that the consultations held and the recommended GeoGebra software helped the students to overcome the ambiguities and to pass the exam.

To determine whether the students' achievements exam of subject Mathematics 1 in the February and April sessions depend on learning the topic of Flow Testing and Sketching a Function Graph without and with the help of GeoGebra software respectively, the following hypotheses were analysed:

– \(H_{0}\) (Null hypothesis): There is no statistically significant difference between the achievements of students who took Mathematics 1 in the February session without consulting on how to use GeoGebra software when learning to sketch a flow and drawing a function graph and the achievements of students in the April session after the consultation.

\(H_{1}\) (Alternative hypothesis): There is a statistically significant difference between the achievements of the students who took the exam in Mathematics 1 in the February exam period without consultations on how to use GeoGebra software in learning to sketch the course and draw a graph of the function and achievements of students in the April session after the consultations.

We performed a t-test to test these hypotheses using two – tailed distribution and paired samples. We get the p-value 0.962803. This means that there is less disagreement between our data and the null hypothesis. In other words, when the p-value is grater then 0.05 is more likely that the group of students using GeoGebra and the group of students who don’t use GeoGebra is the same. \(5 \%\) or 0.05 is the statistical significance. In this case we will accept the null hypothesis and we can say that there is no statistically significant difference between groups of students.

Table 4. Excel T-test

GradesNumberof studentsNumberof students10219148147066285248p-value0.962803

Considering the results of both sessions we can conclude that the consultations are very important and that it is good to advise students in learning mathematics 1 especially on the topic of examining the flow and sketching a graph of a function to use the software GeoGebra, although the t-test showed that there was no significant difference in the results of the students in the two sessions before and after the consultations in which the examples were solved with software.

5. Conclusion

Recently, especially with the outbreak of the Covid 19 pandemic, there have been many changes in the teaching process. Computers have become dominant, and so have mobile phones. Advanced technology offers many possibilities and all of them should be used to the maximum.

Our research has also shown that it is good to use GeoGebra software to improve knowledge and results on functions in mathematics1, although the test showed that there was no significant difference in students results in the two sessions, but of course not to omit books, printed and electronic, as they are the basis of learning. The benefits and advantages of GeoGebra software are enormous. Critical thinking, understanding and interest are much greater when working with this software compared to not using the software. Then with the use of GeoGebra: more knowledge is gained, tasks are solved quickly and easily, excellent exam results are achieved.

The classic way of learning with chalk and blackboard and notebook and pencil/ pen are suitable for teaching and learning, but the probability of errors is very high. Uncertainty, backlogs, and the idea that learning is difficult in math teaching research can be removed using GeoGebra software. With the help of GeoGebra software, more students were motivated to study mathematics, especially the topic of functions, which is also the subject of research. Students gained the courage to solve and check the results and to notice the mistakes.

In the teaching process in mathematics1 next school year we will set aside classes for mastering and using the GeoGebra software.

NOTES

1. SourceForge.net (2010). SourceForge.net Statistics Retrieved 31 Mac, 2010, from http://www.sourceforge.net

2. States and Odom 2016.

3. DOGAN, M.; ICEL, R., 2010. The role of dynamic geometry software in the process of learning: GeoGebra example about triangles. Retrieved from: http:// www.time2010.uma.es/Proceedings/Papers/A026_Paper.pdf

4. VOORST, V., 1999. Technology in Mathematics Teacher Education Retrieved October 1, 2010, from http://www.icte.org/T99_Library/T99_54.PDF

5. UDDIN R. S., 2011. GeoGebra, tool for mediating knowledge in the teaching and learning of transformation of functions in mathematics (Masters dissertation).

6. WHITE, J. 2012. The impact of technology on student engagement and achievement in mathematics classroom. Paper submitted in partial fulfilment of the requirements for the degree of Masters of Education, Memorial University, NL.

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ПРЕДИЗВИКАТЕЛСТВАТА НА СТАЖАНТСКАТА ПРАКТИКА ПРЕД СТУДЕНТИ – БЪДЕЩИ УЧИТЕЛИ

Илиана Петкова, Марияна Илиева, Владислава Станоева, Георги Чавдаров

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FEATURES OF SPEECH COMPREHENSION TRAINING OF CHILDREN WITH AUTISM SPECTRUM DISORDERS

Maryna Branytska, Svitlana Myronova, Svitlana Mykhalska

OVERVIEW OF THE STEM EDUCATION IN ISRAEL

Aharon Goldreich, Elena Karashtranova

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НАГЛАСИ НА СТУДЕНТИТЕ КЪМ СМАРТ ТЕХНОЛОГИИТЕ В ОБРАЗОВАНИЕТО

Дора Левтерова-Гаджалова, Кирилка Тагарева, Ваня Сивакова

PROFESSIONAL SUPPORT FOR YOUNG RESEARCHERS

Emina Vukašinović, Marija Veselinović, Milan Milikić

РОБОТИТЕ В ОБУЧЕНИЕТО – ОБРАЗОВАТЕЛНА STEAM ИГРА

Мария Желязкова, Михаил Кожухаров, Даниела Кожухарова

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ATTITUDES AND EXPERIENCES OF THE PRESCHOOL TEACHERS IN THE APPLICATION OF DIGITAL TECHNOLOGIES IN ENVIRONMENTAL EDUCATION

Nataša Branković, Gordana Kozoderović, Biljana Jeremić, Danijela Petrović, Bojan Lazić, Slavica Karanović

ДИГИТАЛНИ ТЕХНОЛОГИИ В ПОДКРЕПА НА УЧЕНЕТО

Стоянка Георгиева-Лазарова, Лъчезар Лазаров

PREPARATION OF FUTURE TEACHERS FOR ORGANISING A HEALTH-PRESERVING INCLUSIVE SPACE IN EDUCATIONAL INSTITUTIONS

Nadiya Skotna, Tetiana Nadimyanova, Anna Fedorovych, Myroslava Sosiak, Oksana Yatsiv

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ОТ РИСУНКА – КЪМ СНИМКА

Камен Теофилов

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„ВТОРОТО“ БЪЛГАРСКО УЧИЛИЩЕ. ГЕНЕЗИСЪТ

Пенка Цонева, Бистра Мизова

2023 година
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EXPLORING THE NARRATIVE IDENTITY OF HUNGARIAN TEACHERS IN SLOVAKIA

Patrik Baka, Terézia Stredl, Kinga Horváth, Zsuzsanna Huszár, Melinda Nagy, Péter Tóth, András Németh

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A QUALITY “ONLINE” TEACHER – WHAT DO STUDENTS APPRECIATE AND VALUE IN TEACHERS DURING DISTANCE LEARNING?

Irena Golubović-Ilić, Ivana Ćirković-Miladinović, Nataša Vukićević

SUPPORT FOR THE INCLUSION OF ROMA CHILDREN THROUGH THE PROJECT TEACHING MODEL

Biljana Jeremić, Aleksandra Trbojević, Bojan Lazić, Gordana Kozoderović

TREND ANALYSIS OF PROFESSIONAL COMPETENCES OF SPORTS TEACHERS AND COACHES

Sergejs Capulis, Valerijs Dombrovskis, Svetlana Guseva, Alona Korniseva

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ЦЕННОСТЕН ПРОФИЛ НА УЧИТЕЛИТЕ В НАЦИОНАЛЕН КОНТЕКСТ

Цветан Давидков, Силвия Цветанска

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MODELLING OF MARITIME CYBER SECURITY EDUCATION AND TRAINING

Gizem Kayisoglu, Pelin Bolat, Emre Duzenli

INTRODUCING THE USE OF CASE STUDIES METHODOLOGY IN TRAINING FOR SOFT SKILLS IN MARITIME UNIVERSITIES. THE ISOL-MET PROGRAM

Maria Lekakou, Helen Iakovaki, Dimitris Vintzilaios, Markella Gota, Giorgos Georgoulis, Thalia Vintzilaiou

THE ROLE OF MARITIME EDUCATION IN DIGITALIZATION

Kamelia Narleva, Yana Gancheva

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С МИСИЯ ЗА НАЦИОНАЛНА И КУЛТУРНА ИНДИВИДУАЛНОСТ

Надежда Кръстева, Йордан Колев

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PREFACE

Nikola Vaptsarov Naval Academy is the oldest technical educational institution in Bulgaria. The Naval Academy is one of the symbols of Varna and Bulgaria in the world maritime community. Its history and achievements establish it as the most prestigious center for training of maritime specialists. At present, the Naval Academy trains specialists for the Navy and for the merchant marine in all areas of maritime life. Research and development conducted at the Naval Academy in Varna

A FAIR CONCERN ABOUT ECDIS

Nikolay Sozonov, Dilyan Dimitranov

DATA-DRIVEN LEARNING APPROACH TO MARITIME ENGLISH

Jana Kegalj, Mirjana Borucinsky, Sandra Tominac Coslovich

DEVELOPING CRITICAL THINKING SKILLS THROUGH THE “CASE STUDY” TEACHING METHOD IN MARITIME ENGLISH LANGUAGE TEACHING (MELT)

Tamila Mikeladze, Svetlana Rodinadze, Zurab Bezhanovi, Kristine Zarbazoia, Medea Abashidze, Kristine Iakobadze

MAXIMIZING STUDENTS’ LEARNING IN MARITIME ENGLISH ONLINE COURSE

Valentyna Kudryavtseva, Svitlana Barsuk, Olena Frolova

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СПИРАЛАТА ОБЩЕСТВО – ОБРАЗОВАНИЕ

Иванка Шивачева-Пинеда

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ПРОЕКТНО БАЗИРАНО ОБУЧЕНИЕ ЗА СОЦИАЛНО-ЕМОЦИОНАЛНИ И ТЕХНОЛОГИЧНИ УМЕНИЯ ЧРЕЗ ПРОГРАМАТА „УМЕНИЯ ЗА ИНОВАЦИИ“

Галин Цоков, Александър Ангелов, Йоанна Минчева, Рени Димова, Мария Цакова

МЕДИЙНАТА ГРАМОТНОСТ И УЧИТЕЛИТЕ

Светла Цанкова, Стела Ангова, Мария Николова, Иван Вълчанов, Илия Вълков, Георги Минев

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INTONATION AND CHILDREN WITH EMOTIONAL AND BEHAVIORAL PROBLEMS

Katerina Zlatkova-Doncheva, Vladislav Marinov

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2022 година
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ТРАНСГРЕСИВНО-СИНЕРГИЧНО КАРИЕРНО РАЗВИТИЕ В „НЕФОРМАЛНО ОБРАЗОВАНИЕ“ В УНИВЕРСИТЕТА

д.п.н Яна Рашева-Мерджанова, Моника Богданова, Илиана Петкова

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INTEGRATING INTERCULTURAL EDUCATION IN THE PRIMARY SCHOOL CURRICULUM

Bujar Adili, Sonja Petrovska, Gzim Xhambazi

НАГЛАСИ НА БЪДЕЩИТЕ ДЕТСКИ УЧИТЕЛИ КЪМ STEM ПОДХОДА

Наталия Павлова, Михаела Тончева

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НАЦИОНАЛНАТА ИДЕЯ НА ПАИСИЙ ХИЛЕНДАРСКИ

Йордан Колев, Надежда Кръстева

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ИВАН Д. ШИШМАНОВ – ЕВРОПЕИЗИРАНИЯТ БЪЛГАРИН

Надежда Кръстева, Йордан Колев

THE TECHNOLOGY OF DEVELOPMENT OF COMMUNICATIVE CULTURE OF ELEMENTARY SCHOOL TEACHERS

Mariia Oliiar, Nataliia Blahun, Halyna Bilavych, Nataliia Bakhmat, Tetyana Pantyuk

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TEACHERS’ATTITUDES BOUT TEACHING AND LEARNING MATHEMATICS

Aleksandra Mihajlović, Emina Kopas-Vukašinović, Vladimir Stanojević

EDUCATION 4.0 – THE CHANGE OF HIGHER EDUCATION INSTITUTIONS AND THE LABOUR MARKET

Gergana Dimitrova, Blaga Madzhurova, Stefan Raychev, Dobrinka Stoyanova

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DISTANCE LEARNING IN THE CONTEXT OF THE COVID-19 PANDEMICS

Baktybek Keldibekov, Shailoobek Karagulov

DIGITAL UNIVERSITIES: FEATURES AND KEY CHARACTERISTICS

Marina Skiba, Maktagali Bektemessov, Alma Turganbayeva

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TWO-TIER MODEL OF TRAINING FUTURE TEACHERS FOR COACHING AT OUT-OF-SCHOOL INSTITUTIONS

Borys Savchuk, Tetyana Pantyuk, Natalia Sultanova, Halyna Bilavych, Mykola Pantyuk

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2021 година
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ИЗСЛЕДВАНЕ НА ВЗАИМОДЕЙСТВИЕТО МЕЖДУ ФОРМАЛНОТО И НЕФОРМАЛНОТО ЗДРАВНО ОБРАЗОВАНИЕ

Вержиния Боянова, Константин Теодосиев, Берджухи Йорданова

FORMATION OF PROFESSIONAL COMPETENCE OF ASSISTANT TEACHER OF INCLUSIVE EDUCATION IN SECONDARY EDUCATION INSTITUTIONS

Vladyslava Liubarets, Nataliia Bakhmat, Olena Matviienko, Oksana Tsykhmeistruk, Inna Feltsan

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CONCEPT OF PRESENT PRACTICE IN CHOOSING OF OPTIMAL NUMBER OF TUGS

Rino Bošnjak, Zvonimir Lušić, Filip Bojić, Dario Medić

S-101 CHARTS, DATABASE TABLES FOR S-101 CHARTS, AUTONOMOUS VESSEL

Vladimir Brozović, Danko Kezić, Rino Bošnjak, Filip Bojić

INFLUENCE OF HYDRO-METEOROLOGICAL ELEMENTS ON THE SHIP MANOEUVRING IN THE CITY PORT OF SPLIT

Zvonimir Lušić, Nenad Leder, Danijel Pušić, Rino Bošnjak

MEETING SUSTAINABLE DEVELOPMENT GOALS – EXPERIENCE FROM THE LARGEST SHIPPING COMPANIES

Katarina Balić, Helena Ukić Boljat, Gorana Jelić Mrčelić, Merica Slišković

OPTIMISING THE REFERENCE POINT WITHIN A JOURNAL BEARING USING LASER ALIGNMENT

Ty Aaron Smith, Guixin Fan, Natalia Nikolova, Kiril Tenekedjiev

REVIEW OF THE CURRENT INCREASE OF NOISE UNIT COST VALUES IN TRANSPORT

Luka Vukić, Ivan Peronja, Mihaela Bukljaš, Alen Jugović

TARGET DETECTION FOR VISUAL COLLISION AVOIDANCE SYSTEM

Miro Petković, Danko Kezić, Igor Vujović, Ivan Pavić

NEW RESULTS FOR TEACHING SHIP HANDLING USING FAST TIME SIMULATION

Knud Benedict, Michèle Schaub, Michael Baldauf, Michael Gluch, Matthias Kirchhoff, Caspar Krüger

POTENTIAL BENEFITS OF ELECTRICALY DRIVEN FERRY, CASE STUDY

Tina Perić, Ladislav Stazić, Karlo Bratić

SITUATIONAL AWARENESS – KEY SAFETY FACTOR FOR THE OFFICER OF THE WATCH

Hrvoje Jaram, Pero Vidan, Srđan Vukša, Ivan Pavić

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INCLUSIVE INTELLIGENCE

Aleksandar Krastev

EDUCATION OF MORAL CULTURE OF STUDENT YOUTH IN THE CONDITIONS OF POLYCULTURAL SPACE

Natalia Bondarenko, Yevhen Rozdymakha, Lyudmila Oderiy, Anatoly Rozdymakha, Dilyana Arsova

PROFESSIONAL DEVELOPMENT IN KOSOVO – RESEARCH OF TRAINING PROGRAMS AND TESTS

Bekim Samadraxha, Veton Alihajdari, Besim Mustafa, Ramë Likaj

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EVALUATION OF CRUISER TRAFFIC VARIABLES IN SEAPORTS OF THE REPUBLIC OF CROATIA

Maja Račić, Katarina Balić, Mira Pavlinović, Antonija Mišura

COMPARATIVE ANALYSIS OF THE CONTRACTS FOR MARITIME TRANSPORT SERVICES. CHAIN OF CHARTER PARTIES

Svetlana Dimitrakieva, Ognyan Kostadinov, Christiana Atanasova

THE LIGHTSHIP MASS CALCULATION MODEL OF A MERCHANT SHIP BY EMPIRICAL METHODS

Vedran Slapničar, Katarina Zadro, Viktor Ložar, Ivo Ćatipović

ON EDUCATION AND TRAINING IN MARITIME COMMUNICATIONS AND THE GMDSS DURING THE COVID-19

Chavdar Alexandrov, Grozdyu Grozev, Georgi Dimitrov, Avgustin Hristov

AIR POLLUTANT EMISSION MEASUREMENT

Nikola Račić, Branko Lalić, Ivan Komar, Frane Vidović, Ladislav Stazić

ASSESSMENT OF LNG BUNKERING ACCIDENTS

Peter Vidmar, Andrej Androjna

EGR OPERATION INFLUENCE ON THE MARINE ENGINE EFFICIENCY

Delyan Hristov, Ivan Ivanov, Dimitar Popov

THE MEASUREMENT OF EXHAUST GAS EMISSIONS BY TESTO 350 MARITIME – EXHAUST GAS ANALYZER

Bruna Bacalja, Maja Krčum, Tomislav Peša, Marko Zubčić

PROPELLER LOAD MODELLING IN THE CALCULATIONS OF MARINE SHAFTING TORSIONAL VIBRATIONS

Nenad Vulić, Karlo Bratić, Branko Lalić, Ladislav Stazić

TECHNICAL DIAGNOSTICS OF MARINE EQUIPMENT WITH PSEUDO-DISCRETE FEATURES

Guixin Fan, Natalia Nikolova, Ty Smith, Kiril Tenekedjiev

CONTRIBUTION TO THE REDUCTION OF THE SHIP’S SWITCHBOARD BY APPLYING SENSOR TECHNOLOGY

Nediljko Kaštelan, Marko Zubčić, Maja Krčum, Miro Petković

THE STAND FOR FIN DRIVES ENERGY TESTING

Andrzej Grządziela, Marcin Kluczyk, Tomislav Batur

INTRODUCTION OF 3D PRINTING INTO MARINE ELECTRICAL ENGINEERING EDUCATION – A CASE STUDY

Ivica Kuzmanić, Igor Vujović, Zlatan Kulenović, Miro Petković

SHIPYARD CRANE MODELING METHODS

Pawel Piskur, Piotr Szymak, Bartosz Larzewski

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TEACHERS' PERSPECTIVE ON THE EDUCATIONAL IMPLICATIONS OF ONLINE TEACHING

Julien-Ferencz Kiss, Florica Orțan, Laurențiu Mândrea

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ФИДАНА ДАСКАЛОВА ЗА ПЕДАГОГИКАТА

Маргарита Колева, Йордан Колев

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НЕВРОДИДАКТИКА

Наталия Витанова

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BULGARIAN SCHOOL – SHOWCASE OF IDENTITY

Veska Gyuviyska, Nikolay Tsankov

2020 година
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EDUCATIONAL REASONS FOR EARLY SCHOOL DROP-OUT

Maria Teneva, Zlatka Zhelyazkova

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TEACHING CHALLENGES IN SPORTS EDUCATION DURING THE PANDEMIC COVID-19

Evelina Savcheva, Galina Domuschieva-Rogleva

THE DIFFERENCES IN STUDENTS’ATTITUDES ABOUT ONLINE TEACHING DURING COVID-19 PANDEMIC

Aleksić Veljković Aleksandra, Slađana Stanković, Irena Golubović-Ilić, Katarina Herodek

ONLINE EDUCATION DURING PANDEMIC, ACCORDING TO STUDENTS FROM TWO BULGARIAN UNIVERSITIES

Antoaneta Getova¹, Eleonora Mileva², Boryana Angelova-Igova²

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TEACHERS ATTITUDES ABOUT INTEGRATED APPROACH IN TEACHING

Emina Kopas-Vukašinović, Aleksandra Mihajlović, Olivera Cekić-Jovanović

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КОНЦЕПТУАЛНИ МОДЕЛИ ЗА РАЗРАБОТВАНЕ НА ПОЗНАВАТЕЛНИ ОНЛАЙН ИГРИ В ОБЛАСТТА НА КУЛТУРНОТО НАСЛЕДСТВО

Детелин Лучев, Десислава Панева-Мариновa, Радослав Павлов, Гита Сенка, Лилия Павлова

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A CONTINUUM OF APPROACHES TO SCHOOL INSPECTIONS: CASES FROM EUROPE

Rossitsa Simeonova, Yonka Parvanova, Martin Brown, Sarah Gardezi, Joe O’Hara, Gerry McNamara, Laura del Castillo Blanco, Zacharoula Kechri, Eleni Beniata

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2019 година
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ОБРАЗОВАНИЕ НА БЪДЕЩЕТО

Наталия Витанова

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RISK FACTORS FOR EARLY SCHOOL LEAVING IN BULGARIA

Elena Lavrentsova, Petar Valkov

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LEARNING MATURITY

Alina Gîmbuță, Daniela-Carmen Berințan, Marijana Mikulandra, Krzysztof Kij, Katja Sivka

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ДЕТЕТО И ПЕДАГОГИКАТА

Яна Рашева-Мерджанова

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УВАЖАЕМИ КОЛЕГИ,

На добър час!

УЧЕНИЧЕСКО САМОУПРАВЛЕНИЕ

Бисерка Михалева

2018 година
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ПРАВАТА НА ДЕТЕТО ПРЕЗ ПОГЛЕДА НА СТУДЕНТИ ПЕДАГОЗИ

Йорданка Николова, Даниела Рачева

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СПОДЕЛЕНО МНЕНИЕ

Йосиф Нунев

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РАДОСТТА ОТ ОБЩУВАНЕТО НА ЧУЖД ЕЗИК В ДЕТСТВОТО

Екатерина Софрониева, Христина Белева

ПРОФ. Д-Р ЕЛЕНА РУСИНОВА-БАХУДЕЙЛА

Розалина Енгелс-Критидис

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ПОЗИТИВНА УЧЕБНА СРЕДА

Валентина Шарланова

SENIOR CITIZENS’ EXISTENTIAL NEEDS AND EDUCATION FOR THE MEANING OF LIFE

Joanna Łukasik, Norbert Pikuła, Katarzyna Jagielska

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ПАРАДИГМАТА СЕМИОТИКА – ЕЗИК – ДЕТЕ ПРИ 6 – 7-ГОДИШНИТЕ

Жоржетина Атанасова, Любимка Габрова

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ДЕТСКИ КОНФЕРЕНЦИИ

Боряна Иванова

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СЪВРЕМЕННИ МЕТАМОРФОЗИ НА ВЗАИМООТНОШЕНИЯТА В ДЕТСКАТА ГРУПА

Веселина Иванова, Виолета Кърцелянска-Станчева

SCHOOLS AND UNIVERSITIES AS SOCIAL INSTITUTIONS

Emilj Sulejmani, Shikjerije Sulejmani

ОТНОСНО УСЕТА ЗА БРОЕНЕ

Петър Петров, Мима Трифонова

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УВАЖАЕМИ КОЛЕГИ И ПРИЯТЕЛИ

Емилия Василева, главен редактор

ДОБРИ ПРАКТИКИ „ПАРТНЬОРСТВО РОДИТЕЛИ – УЧИЛИЩЕ“

Мехмед Имамов, Калинка Гайтанинчева

2017 година
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ЧЕТЯЩИЯТ СТУДЕНТ, ЧЕТЯЩОТО ДЕТЕ – ЕДНО МАЛКО ПРОЗОРЧЕ, ЕДНА ВЕЛИЧЕСТВЕНА ГЛЕДКА

Мариана Мандева, Боряна Туцева, Габриела Николова, Цветелина Ковачева

Кампания на Институт за български език – БАН и вестник „Аз-буки“

на Институт за български език – БАН, и вестник „Аз-буки“

ЕДИН ТИП СЛОЖНИ НАРЕЧИЯ

Марияна Цибранска-Костова

СВАТБА

Палмира Легурска

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ДИДАКТИЧЕСКИ КОМПЕТЕНТНОСТИ

Нели Митева, Наталия Витанова

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АБВ ПОИСКА … ИЛИ АБВ ПОИСКАХА…?

Цветелина Георгиева

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НОВА И ПОЛЕЗНА КНИГА

Йонка Първанова

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Кампания на Института за български език – БАН и вестник „Аз-буки“

на Института за български език – БАН, и вестник „Аз-буки“

ИМЕНИЦИ И ИМЕННИЦИ

Ивелина Стоянова

НЕ МОГА ДА НЕ НЕДОВОЛСТВАМ

Ивелина Стоянова

ОБРЪЩЕНИЕ ИЛИ ОБРАЩЕНИЕ?

Диана Благоева

ОЩЕ ВЕДНЪЖ ЗА ГЛАВНИТЕ БУКВИ

Мая Влахова-Ангелова

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ПРОБЛЕМИ И ПЕРСПЕКТИВИ В РАЗВИТИЕТО НА ХУДОЖЕСТВЕНОТО ОБРАЗОВАНИЕ У НАС ПРЕЗ ПОГЛЕДА НА ДЕТСКИЯ И НАЧАЛНИЯ УЧИТЕЛ

Теодора Власева, Даниела Гирджева-Валачева, Мария Калоферова, Найден Младенов, Илияна Шотлекова

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ФАКТОРИ ЗА УСПЕШНО ПРИЛАГАНЕ НА СМЕСЕНО ОБУЧЕНИЕ

Стоянка Георгиева-Лазарова, Лъчезар Лазаров

2016 година
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ВНИМАВАЙКИ В КАРТИНКАТА

Ивелина Стоянова

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Кампания на Института за български език – БАН и в. „Аз-буки“

на Института за български език – БАН, и в. „Аз-буки“

ПРАВО В ДЕСЕТКАТА

Ивелина Стоянова

ЗДРАВЕЙТЕ, ЗАПЕТАИ!

Илияна Кунева

ЗА ЦИФРИТЕ И ЧИСЛАТА

Светлозара Лесева

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УЧИЛИЩЕ ЗА ЧЕТЕНЕ

Петя Георгиева, Христина Димитрова

Кампания на Института за български език – БАН и в. „Аз Буки“

на Института за български език – БАН, и в. „Аз Буки“

ДОШЛА ЛИ Е ИНСПЕКТОРЪТ?

Ванина Сумрова

ДА ВИ Е СЛАДКО!

Иво Панчев

ЩЕ ТЕ ЧАКАМ В/НА ЦЕНТЪРА

Илияна Гаравалова

КЪЩА-МУЗЕЙ ИЛИ КЪЩА МУЗЕЙ?

Ивелина Стоянова

КОЙ Е ПО-, ПÒ, НАЙ-?

Мария Тодорова

ТЪРСИ МЕ ПРОДАВАЧКА

Светлозара Лесева

ПРАВО В ДЕСЕТКАТА

Ивелина Стоянова

ПРОФ.Д.П.Н. СТОЯНКА ЖЕКОВА

Редколегия на сп. „Педагогика“

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AN OVERVIEW ON FORMAL SCHOOLING SYSTEM IN SEVEN COUNTRIES

Alina Gîmbută, Maria Fili, Cemile Yavuz, Radmila Jeřábková, Nikolina Ratković, Paulo Manuel Oliveira Mengo de Abreu, Chiara Sega

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IN MEMORIAM

На 10.12.2015 г. ни напусна нашият колега и приятел проф. д-р Иван Пет ков Иванов. Той беше уважаван учен и експерт в областта на педагогическите науки – автор на 10 монографии, 8 учебника, 10 учебни помагала, 6 студии и над 100 статии в специализирани периодич- ни издания и научни сборници; участник в 28 между- народни и национални проекта; председател и член на експертни групи към НАОА, член на редакционната ко- легия на сп. „Педагогика“. Проф. д-р Иван Иванов беше уважаван и оби

2015 година
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ДИСКУСИЯТА В УРОКА ПО ЛИТЕРАТУРА

Огняна Георгиева-Тенева

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ГОТОВНОСТ ЗА ОГРАМОТЯВАНЕ

Екатерина Чернева

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ПРОБЛЕМИ НА СОЦИАЛНАТА АДАПТАЦИЯ НА ПЪТУВАЩИ УЧЕНИЦИ ОТ МАЛКИ НАСЕЛЕНИ МЕСТА\(^{1)}\)

Траян Попкочев, Бонка Гергинова, Тереза Карамангалова

ТУРНИР ПО КАНАДСКА БОРБА

Д. Евтимова, Е. Павлова, И. Радославова и Б. Иванов

ДЕТСКА ЛЯТНА ОЛИМПИАДА

Нели Бъчварова, Десислава Дургова

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ORGANIZATIONAL CULTURE: THEORY AND REALITY

Inna Leonidovna Fedotenko

2014 година
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ДА ЗАПАЛИШ ИСКРАТА

Дафинка Самарджиева

НА УЧИЛИЩЕ – С УСМИВКА!

Снежана Якимова

УЧИТЕЛЯТ – ЕТАЛОН ЗА ФОРМИРАНЕ НА ДЕТСКАТА ЛИЧНОСТ

Катя Коруджийска, Янка Маринкова

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ЗАЕДНО МОЖЕМ ПОВЕЧЕ

Диана Смиленова

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ЗА ДУМАТА КАТО СРЕДСТВО ЗА ОБЩУВАНЕ

ЗА ДУМАТА КАТО СРЕДСТВО ЗА ОБЩУВАНЕ

УСПЕШНИЯТ УЧИТЕЛ – МЕЖДУ ПРОФЕСИОНАЛНАТА НОРМА И СТРАСТТА ДА ПРЕПОДАВАШ

Проф. д-р Ангел Петров е преподавател по методика на обучението по български език в СУ „Св. Климент Охридски“. Ръководител е на най- старата катедра по методика на филологически- те дисциплини в страната – Катедрата по ме-

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LE PROJET PÉDAGOGIQUE, SOURCE DE MOTIVATION DANS L’ENSEIGNEMENT ET L’APPRENTISSAGE DU FLE

THE EDUCATIONAL PROJECT, MEANS OF MOTIVATION IN TEACHING AND LEARNING FLE

LA PÉDAGOGIE DU PROJET ET LA MOTIVATION DES ÉLÈVES POUR L’APPRENTISSAGE DU FRANÇAIS

PROJECT PEDAGOGY AND PUPILS’ MOTIVATION IN LEARNING FRENCH

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КАЖДЫЙ ДЛЯ МЕНЯ УЧИТЕЛЬ

Ш.А.Амонашвили

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АНТОАНЕТА ЙОВЧЕВА (1952 – 2014)

След трудна борба с тежката болест ни напусна един добър и мил човек, една светла личност – Анто- анета Йовчева, нашата обичана колежка Тони. Нейните колеги и приятели, многобройните автори и сътрудници на сп. „Начално образование“ и на сп. „Педагогика“ ще запазят завинаги спомена за нейната приветлива усмивка, за нейната отзивчивост и преда- ност към работата, за нейната широка култура и стре- меж към познание, към развитие. Родена на 20 март 1952 г. в София в интелигентно се- мей

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ПОСТМОДЕРНИЗЪМ И ВЪЗПИТАНИЕ

Клавдия Сапунджиева

ДЕТСКИ УНИВЕРСИТЕТИ

Боряна Иванова

ПРОФ. Д-Р ЕЛКА ПЕТРОВА

Златка Петрова

МЕЖДУНАРОДНЫЙ ЦЕНТР ГУМАННОЙ ПЕДАГОГИКИ

Международният център „Хуманна педагогика“ организира XIII педаго- гически четения в периода 20 – 23.03.2014 г. в гр.Тбилиси, Грузия. Форумът се организира със съдействието на грузинското правителство. „Учителят“ е темата, която ще обедини участниците: учители, експерти, родители, универ- ситетски преподаватели, представители на педагогическата общност от мно- го страни, за да се осъществи дискусия за мисията на съвременния учител в съвременния образователен контекст. Ръководството на

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ОСНОВНИ ХАРАКТЕРИСТИКИ НА МОБИЛНОТО ОБУЧЕНИЕ

Стоянка Георгиева-Лазарова, Лъчезар Лазаров

2013 година
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УЧИТЕЛИ ВЪЗРОЖДЕНЦИ В ТЪРНОВО

Венка Кутева-Цветкова

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ДИМИТЪР ДОНЧЕВ – С ВЪЗХИТА ЗА БЪЛГАРСКИЯ УЧИТЕЛ

100 ГОДИНИ ОТ РОЖДЕНИЕТО НА ДИМИТЪР ЕВСТАТИЕВ ДОНЧЕВ (5.10.1913 – 15.02.1997)

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„СЛЪНЦЕТО“ НА ВЪЗПИТАТЕЛНАТА СИСТЕМА В ТВУ – РАКИТОВО

85 ГОДИНИ ОТ РОЖДЕНИЕТО НА АНГЕЛ УЗУНОВ (1928 – 1999)

ЦЕННОСТИ И ДУХОВНО-НРАВСТВЕНО РАЗВИТИЕ НА МАЛКИЯ УЧЕНИК

Марияна Ешкенази, Гергана Фиданова, Марияна Вишева, Цветанка Годжилова

МАЛКИЯТ УЧЕНИК ЧЕТЕ

Марияна Механджиева Венета Велева

С БАБА И ДЯДО В КЛАС

Цветелин Горанов, Таня Илиева, Цветанка Берова, Нели Иванова, Борка Бончева

РОД РОДА НЕ ХРАНИ, НО ТЕЖКО МУ, КОЙТО ГО НЯМА!

Диляна Вачкова Евелина Димитрова

ДА ПОМОГНЕМ НА ДЕЦАТА ДА ОТВОРЯТ СЪРЦАТА СИ

Иванка Дебелушина, Нина Маврикова

ДОБРОТО Е У ВСЕКИ

Мария Наскова

ОТЛИЧЕН ПЕДАГОГ, ПСИХОЛОГ И ПСИХОТЕРАПЕВТ

ДОЦ. СВЕТОСЛАВ СТАМЕНОВ (1939 – 2013)

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ТЕОРЕТИКО-ПРИЛОЖНИ ПРОБЛЕМИ НА КОНСТРУИРАНЕТО НА ТЕСТ ЗА НАЦИОНАЛНО ВЪНШНО ОЦЕНЯВАНЕ ПО „ЧОВЕКЪТ И ОБЩЕСТВОТО“ ЗА 4. КЛАС (2013)

Ваня Петрова, Цонка Каснакова, Мариан Делчев Жана Минчева Радостина Стоянова, Рада Димитрова Мария Темникова

MEDIA IN PRESCHOOL AGE OF CHILD’S LIFE

Sonja Petrovska Jadranka Bocvarova

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ШАЛВА АЛЕКСАНДРОВИЧ АМОНАШВИЛИ – УЧИТЕЛ ОТ БЪДЕЩЕТО

В сложното битие на науката и метамор- фозите на социалната реалност, неотменими и общовалидни остават само най-стойностни- те постижения и безспорни истини, които не само маркират и остойностяват територията на човешко познание, но извисяват самия чо- век, поддържат неговата вяра в доброто, под- хранват чувството му за собствена значимост, укрепват неговия дух. Приемайки извечните послания на класи- ческата философско-педагогическа мъдрост и дълбоко обвързан с педагогическата р

МАНИФЕСТ ГУМАННОЙ ПЕДАГОГИКИ

Преамбула 25 лет тому назад группа учителей новаторов провозгласила манифест „Пе- дагогика сотрудничества“ (Переделкино, 1986 год). В последующие годы были опубликованы отчеты встреч учителей новаторов, в которых рассматри- вались разные аспекты педагогики сотрудничества: „Демократизация лично- сти“ (Цинандали, Телавский район, Грузия, 1987 год), „Методика обновления“ (Москва, 1988 год), „Войдем в новую школу“ (Краснодарский край, 1988 год). Идеи педагогики сотрудничества воодушевленно

ПОРТФОЛИОТО НА УЧЕНИКА КАТО ПРОЦЕС НА САМОПОЗНАНИЕ

Радка Топалска Емилия Вълкова, Албена Атанасова

ДОПИРНИ СВЕТОВЕ

Албена Димитрова, Стилияна Гронева

ПРЕДИ ГОДИНА И СЕГА

Веселка Аршинкова

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СВЕЩЕНИК ГЕОРГИ МАРИНОВ ПОЛУГАНОВ – ОСНОВАТЕЛЯТ НА УЧИЛИЩЕТО И ПЪРВИЯТ УЧИТЕЛ В ПОЛИКРАЙЩЕ

Георги Георгиев Трифонка Попниколова Марияна Георгиева–Гроссе

ЕВРОПЕЙСКИ ПРИКАЗКИ

Светла Попова

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ДА ОПАЗИМ ДЕТСКОТО ЗДРАВЕ!

Мая Топалова, Симона Пейчева

КАК ДА ОТГЛЕДАМЕ МАЛЪК ПРИРОДОЛЮБИТЕЛ?

Мадлена Николова Ани Цветкова

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ИЗКУСТВОТО ЗА ПРЕВЕНЦИЯ НА АГРЕСИВНОТО ПОВЕДЕНИЕ НА ДЕЦАТА

Евгения Миланова Виолета Николова Величка Радева

ПРИЯТЕЛСТВОТО В ЖИВОТА НА ДЕТЕТО

Даниела Димитрова, Красимира Василева

ПРЕДАЙ НАТАТЪК

Вилдан Мехмедова

2012 година
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ПЕДАГОГЪТ – РИЦАР НА ДЕТСТВОТО

Януш Корчак бе написал, че животът на великите хора е като легендите: труден, но красив. И се оказва пророчески прав, сякаш е писал за себе си! Наследник на семейство с богата духовна култура и традиции, останал отрано без баща, той не просто се справя с несгодите на сирачеството, но развива у себе си три могъщи извора на живот: любов към свободата и справедливостта, страст към знанието и творчеството, отдаденост на децата и тяхното щастие. Лекарят Корчак лекува децата и душите им. Безплатн

ЯНУШ КОРЧАК – ВЕЛИК ХУМАНИСТ И ПЕДАГОГ

„Със сила и мощ поведох своя живот, който беше привидно неподреден, самотен и чужд. За син избрах идеята да служа на детето и неговото дело. Привидно загубих.“ Бе лекар, писател, мислител. Бе философ, учен, моралист. Издател. Възпи- тател и педагог. Бе герой. Бе скромен. Във всяка от тези области той има изключителни постижения. В течение на по- вече от четиридесет години работи като педагог и писател. Четиридесет години безкористно служене на слабите и беззащитните. Създава съвременна кон

ЕВОЛЮЦИЯ НА ПРАВАТА НА ДЕТЕТО

„Детето има право на сериозно отношение към проблемите му, на справедливото им решаване.“

THE KORCZAK’S RIGHT TO SOCIAL PARTICIPATION OF CHILDREN THE CITIZENSHIP OF CHILDREN

A speech by Marek Michalak, the Ombudsman for Children, given during the seminar„The Polish-Israeli pioneer in the fi eld of human rights, Janusz Korczak (1879–1942) and today’s Convention on Children’s Rights as the part of the international law“, Geneva, the 6 of June 2009

ЗА ДЕТЕТО, ДЕТСТВОТО ИЛИ НАУКА ЗА НЕГО?

В памет на Януш Корчак – по повод 70 г. от неговата смърт и 100 г. от създаването на „Дом за сираци“ във Варшава Албена Чавдарова

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CHANGES IN UNIVERSITY TEACHING – THE ROAD FROM KNOWLEDGE TO COMPETENCIES

Slađana Anđelković Zorica Stanisavljević Petrović

ДОСТОЕН ЖИВОТ, ОТДАДЕН НА ПРОСВЕЩЕНИЕТО… ПРОФ. СТОЙКА ЗДРАВКОВА – ЕДИН СЪВРЕМЕНЕН БУДИТЕЛ НА 70 ГОДИНИ

Неуморна и взискателна! Енергична и всеотдай- на! Работохолик и перфекционист! Това е проф. д-р Стойка Здравкова! Не е за вярване, че в началото на ноември 2012 година навърши 70 години. И не е слу- чайно това, че тази светла дата е непосредствено бли- зо до Деня на будителите. А това, че проф . Здравкова е съвременен български будител, е толкова безспорно и видимо! 70–годишнината ù е един чудесен повод ретрос- пективно да си припомним и проследим най-значи-

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ОЧАКВАНА И ПОЛЕЗНА

Емилия Василева

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ЦЕННО ПОМАГАЛО ЗА ПСИХОЛОЗИ И ПЕДАГОЗИ (Надежден инструмент за диагностициране смисъла на живота)

Любен Десев Минчев, Борис. Тест на Дж. Крумбъг и Л. Махолик за смисъл в живота. Българска версия. Варна, ВСУ „Черноризец Храбър“,

ГЕОРГИ MАВРОВ ЖИВОТ, ОТДАДЕН НА НАУКАТА И ОБРАЗОВАНИЕТО

Така най-общо, но и най-точно можем да охарак- теризираме дейността на ст. н. с. д-р Георги Петков Мавров. Той ни напусна неочаквано в края на април т.г. И до последния си ден не преставаше да се вълнува от проблемите на образованието. Споделяше инте- ресни мисли относно предстоящото приемане на За- кона за образованието. Пестелив на думи, но щедър на дела – това ясно проличава от неговата богата би- ография.

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ОЩЕ ЕДНА ИДЕЯ

Галина Стоянова

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С ИНОВАТИВЕН ПОГЛЕД КЪМ ЛИЧНОСТТА НА ДЕТЕТО

Маргарита Абрашева Любимка Габрова

БИЗНЕС ОБУЧЕНИЕ В ДЕТСКАТА ГРАДИНА

Красимира Костова Петя Драгоданова

ДЕТСКАТА БЕЗОПАСНОСТ

Любимка Габрова

БАБА ПРИКАЗКИ РАЗКАЗВА... (МИКС ОТ ПРИКАЗКИ)

Кева Захариева, Мария Мичева

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ДЕТЕ ПЪТУВА В АВТОМОБИЛА

Красимира Михайлова

ПРОТИВОПОСТАВЯНЕ

Пюрвя Ердниев, Б. Ердниев

ЗДРАВКА НОВАКОВА – ПРЕПОДАВАТЕЛ И ТВОРЕЦ

Седемдесетгодишният юбилей е вълнуващ повод да проследим трудния, богат и съдържателен професионално-творчески път на доц. д-р Здравка Новакова, да под- чертаем нейната важна роля за утвърждаване на дидактика на математиката като

IN MEMORIAM Иван Марев

Напусна ни проф. Иван Марев – философ, педагог, демократ, родолюбец. В далечната 1975 г., зареден с енергия, пълен с идеи, той създаде в Техническия

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ДЕЛЕГИРАНЕ НА ПРАВА ЧРЕЗ КОМИСИИТЕ В ДЕТСКАТА ГРАДИНА

Маргарита Абрашева Политиката, наречена управление на качеството, не е самоцел, нито поредна обра- зователна „мода“. Тя е практически необходима за поддържане от директора на учеб- ното заведение на един привлекателен образ в условията на конкуренция на пазара на учебни заведения. Това се отнася най-вече за детските градини. Политиката на упра- вление на качеството съдържа недостатъчно използван ресурс, включително за спечел- ване и запазване доверието на потребителя – родителите на децата,

ИНОВАЦИОННИ И ИНТЕРАКТИВНИ МЕТОДИ В КВАЛИФИКАЦИОННАТА ДЕЙНОСТ НА ПЕДАГОГИЧЕСКИЯ КОЛЕКТИВ

Стоилка Ташева, Севда Лукайчева Развиващото се с динамични темпове общество в днешно време налага необ- ходимостта от иновационни промени в областта на образованието. И в предучи- лищната педагогика все по-често се търсят алтернативни педагогически техноло- гии както за възпитанието и обучението на децата, така и при провеждането на квалификационната дейност на самите педагози. Използването на интерактивните методи дава възможност да се възлагат за- дачи, които предполагат съвместна работа,

НА УЛИЦАТА Е ОПАСНО

Таня Янчева, Зоя Кацарова