Problems on the Brocard Circle
We present problems for students about the Brocard circle. The problems are discovered by the computer program “Discoverer”, created by the authors.
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We present problems for students about the Brocard circle. The problems are discovered by the computer program “Discoverer”, created by the authors.
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The research focuses on South-West University students’ response to the project “Student Practices” from 2013 until 2015. The author aims to evaluate the extend to which this additional practical training in a real professional environment gives students the opportunity to develop and improve their competencies and skills, according to the specifics of their academic major, professional training, and free time. The analysis of the results proves that the project is a successful attempt by the Ministry of Education to provide additional practical training for young specialists.
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In the recent decades, intensive studies have been performed on the interactions between polyelectrolytes and the possibilities for polyelectrolyte complex (PEC) formation. The main purpose of these studies is to investigate the properties of PECs and to extend their application in solving different technological and environmental problems. The interest in natural polyelectrolytes - polysaccharides, proteins, amino acids, DNA, etc., has been increased due to their role in living organisms, their bioavailability, biodegradability and uses in pharmacy and medicine. In the present study attractive, electrostatic interactions between oppositely charged polyelectrolytes have been used to prepare a novel complex between a polyampholyte casein and a natural polycation — chitosan. The complex casein/chitosan is formed during the mixing of acid chitosan solutions and basic casein solutions. The complex yield was investigated by viscometric, spectroscopic and gravimetric methods. The optimum stoichiometry of the complexes at different pH has been determined.
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The article is dedicated to tasks designed for the discipline Teaching English as a Foreign Language Practice for the binary specialty Biology and English, Faculty of Biology, Sofia University “St. Kliment Ohridski”. The focus is on optimization of the face-to-face classes by introducing blended learning tasks. An informed choice of relevant technology is proposed for each element of the task. The specifics of tasks for binary specialties is considered by identifying the similarities between the two different areas: teaching a foreign language and teaching science.
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The experimental environment Excel is used in the paper to check ideas, occurring and guesses in problem situations, which appear in solving trigonometric equations.
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The paper presents the experimental mathematics as a problem environment for students’ research activities. Such an area is available to students who have different level of mathematical competence. Theorganization of students’ research activities in experimental mathematicsenvironment is a basis for their preparation for work in the form “Science2.0”. Students will learn the following main characteristics of Science 2.0:working on a project, participation in crowd-sourcing, research network,computer supported research.
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Formulas are derived and presented for the distances to the vertices and the midpoints of the sides and diagonals of a quadrilateral from three of its notable points. They are used to prove some inequalities in the quadrilateral, connecting the lengths of its sides and diagonals. An interesting property of the centroid of a quadrilateral inscribed in a circle has been found too.
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The author tackles the needs, possibilities and accomplishments regarding the adult education in the Bjelovar-Bilogora County, and addresses them jointly as the second opportunity for education. In the theoretical approach, the fundaments of the knowledge-based society/economy, the concept of life-long learning, and particularly the adult education as a part of this concept are analysed. In the empirical approach, the needs for the adult education are defined based on the analysis of the educational qualification level of the population; the employed generally, and particularly those working in primary, secondary and tertiary economic sectors; the unemployed persons; and students terminating their secondary education. Further, the possibilities for the adult education are described, primarily those offered within the following programmes of open universities and secondary schools: primary education finishing; secondary education finishing; training; retraining; specialisation; and foreign language learning. By comparing the rather significant needs for the adult education with the realisation of the programme, it may be concluded that the inadequate involvement of adults in the learning/education process and the adult education in the County do not work as a unique subsystem, by the means of which the second opportunity for education might be realised in an organised and a systematic manner.
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In this paper, the authors’ collective is presenting a questionnaire, designed and tested by them for the regular evaluation of the educational environment in high schools. It consists of 50 multiple choice questions about quality of learning and relations between school children and teachers. The questionnaire was tested on the students of three high schools in Varna. It was distributed to male and female students of the 9th, 10th and 11th grades. The data set consists of 693 respondents − schoolboys and girls characterized by their answers to 50 questions each one ranked by values from 1 to 5. Non-hierarchical cluster analysis was applied to find patterns of similarity between the questions or between the pupils. The results verified the constructive value of the questionnaire as a method of evaluation of the educational environment in high schools.
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Despite of its importance and of the multiple possible outcomes, spiritualautobiography has not been enough valorised until now by the theological, philological, philosophical orhistorical research. Conscious on this fact, we will try there to bring into attention an important workof the genre, namely the spiritual autobiography of Mother Teresa of Calcutta (1910-2003), founderof the famous Congregation of Catholic sisters, "Missionaries of Charity." Moreover, we willinvestigate there a relevant aspect not only for the style and content of her work, but also for thecontemporary society, namely the education and its role. We will try to emphasize there the multipleforms of education that can be found and to see what is the relationship between education, revelationand act according to the Catholic religious. We will also try to see the similitudes and differencesbetween the investigated text and other coming from the same or from different confessionalbackgrounds and to create, where it will be possible, bridges between spiritualties.
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Job’s method is extensively used to determine the stoichiometry of complex ions both in the field of education and research. However, the shape of the Job’s plot generally does not match to what is shown in the textbooks due to simultaneous absorption by other species involved in the equilibria. The conventional correction method deals the problem by assuming that no reaction would have occurred among the reactants and thus uses their formal concentrations for the correction of empirical data. The assumption is contradictory as, in solution equilibria, formal concentrations differ substantially from the respective equilibrium concentrations. Alternatively, multiwavelength linear regression analysis is used to determine the equilibrium concentrations of reactants in the system. The two correction methods, when applied on Cu-EDTA system, showed a significant difference between them. The comparative study is designed to evaluate the correction methods. Moreover, Microsoft Excel® was incorporated to transform tedious correction into quick and interesting processing of data.
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In order to tackle the various challenges of nowadays society, it is necessarythat education be oriented not towards the nondiscriminatory and abusive disposal of pedagogicalideas of Modernity, but towards their transformation and adjustment to the particularities andfeatures that postmodern society calls for. Set within the scope of technological changes, society andthe educational system try to face the pressures within and outside the system and to face the need tochange. Democratic societies, based on respectand mutual support, humanism and social justice,require the development of educational policies that could lead to the building of a universal values’culture including: the truth, justice, love. There is a constant search in educational practice to findsolutions for the attribution and respect of values, of the rights belonging to all those who are beingeducated and to equal chances granted to each of them. This way, educating children becomes morethan a mere syntagm of Postmodernism, but rather a firm and clear requirement of our times,determined by the stringent needs of the present.
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The current article is about the implementation of cloud technologies in secondary education in Bulgaria. An overview of the development and nature of cloud technologies is made. Practical experience is gained from the deployment of cloud technologies in a particular Bulgarian school. The use of cloud technologies facilitating the work of the school administration and increasing pupils’ interest in the learning process, as well as their activity in the school, is shown.
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The introduction of digital technologies into education changes the medium and tools used to achieve the learning objectives. Traditional textbooks have to be adapted to suit to the needs and characteristics of the digital generation learners. Textbooks, combined with innovative technologies, are becoming a modern way for knowledge transfer. They engage learners and bring them new sensations and opportunities to interact with the content. The current paper presents the essence and benefits of augmented textbooks in education. An augmented textbook is presented as an example of effective use of modern technologies, combined with traditional training tools.
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A geometric relation is derived concerning the roots of a special type polynomials of n -th degree and the roots of their derivatives.
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As a generalization of the well-known concept of Pascal’s snail for two circles a geometric notion of Pascal’s snail of order n is introduced in the paper for n circles. It is solved the problem of its algebraic description in the form of a polynomial with complex coefficients under the condition that the module of the complex variable is equal to 1. The role and importance of the information component is demonstrated by an example of animation drawings in GeoGebra environment, which have been used during the experiments. Some of the accompanying proofs turn out to be obvious in verbal sense and the reliability of the assertions is confirmed by animation drawing models.
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Romans, One of the disadvantaged groups living in our country have a difficult life due to their exclusion, low levels of education and inadequate financial means. For this purpose, an EU project has been implemented within the framework of Konya. Therefore, the main purpose of this study to evaluate the outcome of the education given to Roma women who do not have any profession and want to contribute to the family budget.The study population consisted of Roma women living in the city center of Konya.The sample was composed of Roma women who do not have a profession living in Doganlar Neighbourhood, in the central Karatay district of Konya. Research is one of the quantitative research patterns of "pretest-posttest control group ”.The interview form prepared by the researcher was used as the data collection tool.Interview form; The readiness and the post-training gains of Roma women were measured by asking the Roman women to contribute to the family budget and whether they would like to have a profession. At the end of the research, frequency and percentage analysis were used to analyze the data. Roman women have received such training for the first time and are satisfied with this and they stated that they wanted to contribute to the family budget.
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The characteristics and tendencies of education in the future, of the postmodern paradigm in the field of education, should constitute the fundamental characteristics of current educational systems and be manifested in dimensions such as: centring on the learning process, on learning competencies and skills; learning through problem solving and critical thinking; monitoring through high performance and success; planning and management within a partnership between school and community; education centred on students/adults; varied rhythms and styles of learning; personalized, individualized instructive-educational activities; adapting school to the characteristics of the student; the prevalence of interactive experiences that generate in-depth learning: cooperative teaching-learning with lessons based on life experiences. Regarding the relationship between traditional didactics and modern/postmodern didactics within educational practice, aside from adjusting the weight of the elements of the different paradigms according to each individual educational situation, a balance could be found by appropriately combining three major tendencies: the tendency to retain and capitalize on the valuable aspects of traditional didactics; the tendency to enrich traditional didactics with scientific results that would create a foundation for the modernization of education and a qualitatively superior training of teaching staff; the tendency to create a balance between the two aspects of the instructive-educational process: informative and formative.
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