Въвеждането на геометрична вероятност в ХI клас

Author(s): Borislav Lazarov / Language(s): Bulgarian Issue: 4/2021

The paper presents some ideas for linking the model of classical probability with the geometrical probability, which are potentially helpful in operationalizing the correspondent topics from the Bulgarian math curriculum for the 11th grade. The point is to partition a continuum sample space into large numbers of disjoint events. Such partitioning allows interpreting a particular geometrical figure as a finite set of disjoint equal parts. In such manner, the corresponding stochastic phenomenon is considered as a finite composition of equiprobable outcomes. The benefits of this approach consist of the better didactical motivation when introducing the new concept of geometrical probability. Some comments on the philosophical correspondence between continuum and discrete structure are discussed. The examples are taken from the competition papers of Chernorizec Hrabar Math Tournament.

Студентски нагласи относно планирането на персонално електронно портфолио

Author(s): Galina Georgieva / Language(s): Bulgarian Issue: 4/2021

Creating personal electronic portfolio requires that the author knows very well its significant personal characteristics and acquisitions as well as the requirements of the electronic portfolio’s online audiences. This paper attempts to present data analysis about important aspects of the personal electronic portfolio planning. The students’ attitudes towards these different aspects may reveal some important perspectives for improving the process of planning. In the paper is presented the opinion of 46 students from the Faculty of Education of Sofia University “St. Kliment Ohridski”. The majority of the participants admit the advantages of having electronic portfolio samples in support of the process of creating their own electronic portfolio. According to the students’ opinion it is very usefully if the tutor provides appropriate examples of electronic portfolio’s goals. Shown are some difficulties for creating an electronic portfolio, based on its online audiences’ requirements. In the process of electronic portfolio planning the tutor and the future employers’ requirements are seen as most significant requirements.

Процесът на приобщаване и ценностната система на учителя

Author(s): Petya Marcheva-Yoshovska / Language(s): Bulgarian Issue: 4/2021

This article focuses on one of the many problems of inclusive education – the competences of the Bulgarian teacher, a complex of knowledge, skills, experience and values related to teaching. For the realization of the study, we are based on the model of the European Agency for Special Needs and Inclusive Education, published in 2012 in Odense (Denmark). The article presents the results of an empirical study of the attitudes of pedagogical specialists in Bulgaria to establish the conditions for inclusion of children and students in the general educational environment.

Oбиждам те (се) – параметри на обидата и вербалната агресия в училище

Author(s): Nadezhda Stalyanova / Language(s): Bulgarian Issue: 3/2021

The article examines the manifestations of verbal aggression among students and draws attention to one aspect of it – the insulting words as a component of aggressive human behavior. The study is based on surveys conducted in 19 schools across Bulgaria. A classification of offensive vocabulary has been made. The study registers global trends in modern society, asking questions to psychologists, teachers, sociologists, namely – can aggression be prevented, transformed into a constructive type of behavior, whether the individual could affect the hostile environment etc.

Равнище на формираност на ключовата компетентност общуване на роден език в начална училищна възраст през погледа на учителите

Author(s): Irena Raykova / Language(s): Bulgarian Issue: 3/2021

This article presents the results of a survey, examining the level of formation of the key competence: communication in mother tongue of the students in primary school according to their teachers. Subject of examination: Bulgarian Language and literature education. The results of a survey give information about the most common difficulties that students face. Teachers’ preferred methods, forms and means of work are pointed out as well as a variety of forms of collaboration among parents, teachers and other institutions. The level of formation of linguistic, communicative speech, sociocultural and literature competences is measured. Possible solutions for effective learning process and for improvement of the key competence: communication in mother tongue are proposed.

Методът Монтесори – „Иновация в действие“

Author(s): Lyubimka Gabrova / Language(s): Bulgarian Issue: 3/2021

The author shares the experience in introducing the Montessori method “innovation in action” for increasing the dynamics of interaction – time, pace, path and place to stimulate the physical, mental, emotional and social development of children. The emphasis is on the relationship between the three components: child, favorable environment, teacher, their interaction and continuous development.

Иновационни методи за повишаване на мотивацията на учениците

Author(s): Yanna Madanska / Language(s): Bulgarian Issue: 3/2021

The article examines the problems of motivation of students‘ educational activity. Presented are active teaching methods, which contribute to the effective organization of the educational process, increase the motivation of the educational activities of the students, the formation of professionally significant knowledge, skills and abilities.

Съвременни интеркултурни образователни програми за етнографски и исторически музей

Author(s): Elena Vitanova / Language(s): Bulgarian Issue: 3/2021

Education in our country is carried out in the context of a unified cultural and educational environment, which creates guarantees for the protection and development of individual cultures. The educational mission of the ethnographic and historical museum is placed in the general value context of their social responsibility together with their social and inclusive function.The article analyzes the results of a study of opinions of school principals and museum specialists, conducted as part of a study on the need and importance of the implementation of modern intercultural educational programs for ethnographic and historical museums. Challenges and prospects for more effective cooperation between the school and the museum.

Ролята на преподавателите в променящия се свят на образованието и обучението

Author(s): Silvia Toneva / Language(s): Bulgarian Issue: 3/2021

Използване на проектния метод в часовете по литература

Author(s): Greta Vladimirova / Language(s): Bulgarian Issue: 3/2021

The aim of this article is to research both theoretical and practical aspects of applying project-oriented activities as one of the key methods for teaching literature in high school. Furthermore the article describes the rules one must follow in order to successfully complete a project task, as well as the stages a team goes through in such task. The article shares best practices and examples of game-based learning regarding Ancient Greek Mythology in 8th grade. An unusual approach for teaching Daniel Defoe’s novel “Robinson Crusoe” in 9th grade is also presented.

Приложение на информационните и комуникационните технологии в обучението по математика в гимназиален етап

Author(s): Ivaylo Asenov / Language(s): Bulgarian Issue: 3/2021

The usage of interactive techniques at Secondary school “St. st. Cyril and Methodius” – Kozloduy, and in particular the IT method is one of the priority goals for teaching, control and assessment especially throughout the latest years and is being implemented by almost all pedagogical specialists. The current article presents mainly the platforms https://learningapps.org/ and https://www.ourboox.com/ as examples for opportunities which IT grants to teaching, assessment, control and self-assessment of the students during the educational process in mathematics during the first high school stage as well as suggestions for the usage of other instruments. A lot of didactic mathematics problems along with their URL are included. Due to the specifics of the printed edition they cannot be copied from the article instead they can be found on the created by the author educational website Mathematics KiM at https://sites.google.com/view/kim-ia/

Robin Pajtás Szabadiskolája. Az antiautoriter, közösségi és forradalmi nevelés egy gyakorlati kísérlete Magyarországon

Author(s): Robin Goodfellow Collective Robin Pajtás Kollektíva / Language(s): Hungarian Issue: 28/2021

The Free School of Robin Goodfellow is a pedagogical initiative launched in 2014, the aim of which is to present an alternative – theoretical as well as practical – to the existing system of education. Since its foundation, the free school has been seeking to be a pioneer in the area of education, trying to put into practice the principles of an anti-authoritarian and communitarian education on the basis of a radical critique of society, supporting a revolutionary transformation of social relations.The authors of this essay have been among the founders of the free school, who summarize the key thoughts of their lectures and papers presented and published during the last several years. They also describe the programs organized by the free school, which range from shadow-plays to the modelling of processes that form the surface of the Earth. They also reflect on the difficulties – both objective and subjective – which have hindered the development of their pedagogical attempt, and hope to provide help for all those who are dissatisfied with the present educational system, while being open to a radical critique of capitalism and ready to act for a change.

Математиката като музика за душата

Author(s): Evgenia Sendova / Language(s): Bulgarian Issue: 3/2021

The article deals with issues related to the manifestation of mathematical talent from an early age and the attitude of professionals to such a phenomenon as Terry Tao. Epizodes from his biography and several tasks he faces at different ages are considered. The main emphasis is on Terry Tao‘s contribution to the proof of Sendov‘s conjecture and his lecture on this topic, organized by the International Center for Mathematical Sciences - Sofia at the Institute of Mathematics and Informatics at BAS together with the the Union of Bulgarian Mathematicians

Midlines of Quadrilateral

Author(s): Sead Rešić,Maid Omerović,Anes Hadžiomerović,Ahmed Palić / Language(s): English Issue: 3/2021

In this section we deal with an interesting fact which will imply ABCD some well known theorems. Namely we prove that in a convex quadrilateral whose diagonals meet at O, the midline of the triangle ∆BOC parallel to BC, the midline of the triangle ∆AOD parallel to AD, and the midline of the quadrilateral ABCD connecting the sides AB and CD meet at one point, or are parallel.

Виртуален час по математика

Author(s): Sevdalina Georgieva / Language(s): Bulgarian Issue: 3/2021

The challenge of conducting an electronic environment for remote mathematics education is a condition for finding effective methods, forms, approaches, and platforms for a successful learning process. One of the solutions for the implementation of a „virtual lesson“ in mathematics is the cloud environment of GeoGebra. The article discusses various aspects of the application of the online platform GeoGebra in mathematics education: creating interactive worksheets, virtual classrooms, online boards, tools for classroom management, monitoring, and evaluation of student achievement. The attitudes of mathematics teachers about the use of GeoGebra online applications in math lessons are researched and analyzed.

Generation of NO2 by Lead Nitrate Pyrolysis: Never do Modifications a Prima Vista

Author(s): Vlsdimir M. Petrusevski / Language(s): English Issue: 3/2021

Generation of nitrogen dioxide is a well-known demonstration/experiment, usually performed by pyrolysis of Pb(NO3)2. In order to prevent obstructing the glass tubes or the test-tube where NO2 is generated, one may safely use a homogenized mixture of lead(II) nitrate and dry sand. Aesthetically it is not quite appealing, so during the same lesson a colleague experimenter decided to change the standard approach and to use table salt (sodium chloride) instead of sand. However, the result of the experiment turned to be a flaw! This appears to be one more proof for the correctness of the general experimenter’s philosophy: never improvise if you do not know the outcome.

Computational analysis of the messenger RNA variants encoding two isoforms of the high-mobility group box 1 protein

Author(s): Luchezar Karagyozov,Jordana Todorova / Language(s): English Issue: 3/2021

High-mobility group box 1 protein (HMGB1) is a multifunctional nonhistone chromosomal protein. This widespread nuclear protein has a dual function-in the nucleus - it binds DNA and participates in practically all DNA-dependent processes. On the other hand, the protein plays an important role in the extracellular matrix as an “alarmin”, which interacts with certain receptors and stimulates biochemical pathways, associated with carcinogenesis and metastasis. HMGB1 is a critical damage-associated molecular pattern molecule, has been implicated in several inflammatory diseases and cancer types. This universality makes it an attractive target for innovative therapeutic strategies in the treatment of various diseases. The updated database for the HMGB1 gene, encoding the high-mobility group box 1 protein, was used for computational analysis of the annotated mRNA splice variants. Results showed that five of the splice variants encode an HMGB1 protein, containing 215 amino acid residues. However, two of the splice variants encode a shorter HMGB1 protein with 158 residues. Presently, the existence of a shorter HMGB1 protein is not registered in the protein databanks. This inconsistency is not yet resolved.

Professional Dispositions of Graduate Pre-service Mathematics Teachers among Three College of Teacher Education in Ethiopia

Author(s): Anteneh Tefera,Mulugeta Atnafu,Michael Kassa / Language(s): English Issue: 3/2021

The general objective of this study was to examine the professional disposition (attitude and self-efficacy) of pre-service teachers hold at the end of teacher education programs in terms of gender and modality. To do this, we used a quantitative research approach. The source of data was 3rd-year mathematics pre-service teachers who have graduated in the 2018/19 academic year. The study used self-reported questionnaires. Thus, 536 (309 male and 227 female) third-year pre-service mathematics teachers from the three sampled institutions (Kotebe metropolitan university, Hawassa college of teacher education, and Arba Minch college of teacher education) and trained under three modalities (generalist, specialist, or linear) have participated. The result showed that the ongoing teacher education program helps them to have a strong attitude and self-efficacy towards mathematics and mathematics teaching without gender difference. However, variations were observed in attitudes and self-efficacy across modalities. In general, it can be concluded that the teacher education program helps pre-service mathematics teachers to develop a strong attitude and self-efficacy towards mathematics and teaching mathematics. Therefore, it is recommended that further qualitative and detailed analysis should be conducted in order to find which part of the education system or educational inputs help pre-service mathematics teachers in colleges of teacher education to develop positive attitude and self-efficacy towards mathematics and teaching mathematics and should be shared to other universities and colleges.

Determination of Planck constant by LED

Author(s): Aleksander Petkov,Todor Mishonov,Matteo Andreoni,Emil Petkov,Albert Varonov,Iglika Dimitrova,Leonora Velkoska,Riste Popeski-Dimovski / Language(s): English Issue: 3/2021

This is the problem of the 8th International Experimental Physics Olympiad (EPO8). The task of the EPO8 is to determine Planck constant ħ=h/2pi using the given set-up with LED. If you have an idea how to do it, do it and send us the result; skip the reading of the detailed step by step instructions with increasing difficulties. We expect the participants to follow the suggested items – they are instructive for physics education in general. Only the reading of historical remarks given in the first section can be omitted during the Olympiad without loss of generality. Participants should try solving as much tasks as they can without paying attention to the age categories: give your best.

Hanna Pułaczewska, Wychowanie do języka polskiego w Niemczech na przykładzie Ratyzbony. Dwujęzyczność dzieci z perspektywy rodziców

Author(s): Anna Zielińska / Language(s): Polish Issue: 05/2021

Review of: Anna Zielińska - HANNA PUŁACZEWSKA, WYCHOWANIE DO JĘZYKA POLSKIEGO W NIEMCZECH NA PRZYKŁADZIE RATYZBONY. DWUJĘZYCZNOŚĆ DZIECI Z PERSPEKTYWY RODZICÓW, „Primum Verbum”, Łódź 2017,1 ss. 223