Теоремата на Фонтене по отношение на описани централни конични сечения
A generalization of the remarkable Fontené theorem from the geometry of triangle is described in the present paper.
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A generalization of the remarkable Fontené theorem from the geometry of triangle is described in the present paper.
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The paper presents models of deepening the tripartite relationship “child – teacher – parent” to conduct various forms of cooperation, so-called “workshops” to organize joint activities. The kindergarten “Druzhba” – Oryahovo, supports initiatives targeting parents through meaningful activity to achieve better synergies- guarantee for the success of the child and its successful preparation for the new social role “disciple”.
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The development is focused on the elementary arithmetic problems in primary school mathematics. For theoretical and practical purposes is suggested „a definition“ of an elementary arithmetical problem and category structure of the problem is introduced. Based on „a list“ of 12 kinds is developed logic-mathematical classification of elementary arithmetic problems in which included 24 categories. Each category is represented through an examples in which structural and mathematical models of the problems are shown. Mathematical and practical problems are considered as unity. The approach of constructivism in mathematical education in reflected in the development and it s the first stage of a research on „Arithmetic Problems in Primary School Mathematics“.
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The article presents pedagogical and ergonomic considerations at developing multimedia learning environment for students in computer sciences. Pedagogical considerations concern the application of psycho-pedagogical theories of learning – behaviorism, cognitivism, constructivism and traditional stages of cognitive act – contemplation, thinking, practice. As a software product the multimedia environment provides the achievement of the established ergonomic standards for Human Computer Interface, specified as general usability and pedagogical usability.
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Due to various personal and environmental barriers, people with acquired physical disabilities experience many stressful situations. This paper examines the problem of coping strategies applied by students with physical disabilities. The aim was to analyse the correlation between beliefs about oneself and the world (self-esteem, self-efficacy, basic hope) and coping strategies in students with physical disability. A total of 111 students with serious acquired physical impairments including spinal cord injury and various spinal disorders were included in the study. Quantitative, cross-sectional research was carried out using Polish versions of the following instruments: The Coping Orientations to Problems Experienced (COPE) (Wrześniewski, 1996), The Rosenberg Self-Esteem Scale (SES) (Dzwonkowska et al., 2008), The General Self-Efficacy Scale (GSES, Schwarzer, Jerusalem) (Juczyński, 2001), and The Basic Hope Inventory (BHI) (Trzebiński and Zięba, 2003b). Descriptive statistics, correlation analysis (Pearson’s correlation coefficient), and progressive stepwise regression analysis were conducted. The research indicates that beliefs about oneself and the world have a predictive function in explaining the coping strategies used by students with physical disability. Beliefs such as self-esteem, general self-efficacy and basic hope contribute to explaining variations in the nature and intensity of individual coping strategies. Finally, the low percentage of the explained variance of coping strategies in students with physical disabilities indicates the importance of other variables not included in this study. The results are discussed in the context of prior studies. Key words: physical disability, coping strategies, self-esteem, general self-efficacy and basic hope
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Defining necessary skills of the 21st century professional is an up-to-date issue of discussion in vocational pedagogy. In the research, transmedia skills are proposed as an integral part of a professional that determine abilities to present oneself in media sources and to organize an effective networking. The aim of the research is to define the skills based on transmedia theory and to prove the effectiveness of implementing transmedia skills into the course of the English language. Various methods are used-questionnaires, tests, rubrics and pedagogical observations. The results of the research show that transmedia skills can have positive impact on the efficacy of professional skills and level of English of undergraduate students.
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In this material we explore the relationship between incentive and reflection in teacher’s self-presentation as an integral part of training pedagogical specialists. Basing our study on the activity approach we view the structural components of self-presentation as a whole activity, and in particular we study their specifics and the personal, professional, and contextual factors, which underlie the bilateral relation between incentive and reflection. A theoretical model for analyzing the reflexive process in prospective, current and retrospective aspects is developed to understand the role of teacher’s self-presentation in training pedagogical specialists. (The current study is a part of a more extensive dissertation work).
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The writing of this article is done in light of the need dictated by contemporary developments in the field of chemistry teaching which shape new facts and challenges in the teaching of chemistry and in particular about the subject of “Water Conductivity.” The lesson plan created about “Water Conductivity” aims to create a technologically enriched learning environment through the active participation of students in the educational process and through activities. Some of these activities include searching, collecting, selecting, editing, presenting information and exploiting the possibilities and choices offered by the new thematic module. It also seeks to cultivate communication and cooperative skills that upgrade the teaching practices and smooths the difficulties of both understanding and the communication of learning. Besides, with the help of the application form accompanying the teaching, the student is offered a research/interactive teaching tool, easy to use and entertaining while on the other hand the professor is given the chance to integrate the computer into the range of his teaching tools. This specific project aims to improve the learning outcome by facilitating the understanding that enhances interest, using modern computing technology according to the basic principles of pedagogical science.
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The study explored students’ learning difficulties in oxidation-reduction reactions at the senior high school level; as part of a major research project. The research approach for the project was a four-stage design-based research, using qualitative and quantitative methods. At the preliminary stage which is reported in this study, 213 third year students were sampled. All samples were selected through stratified and simple random sampling procedures. The students responded to a two-tier diagnostic test and interviews on conception of oxidation-reduction reactions. In analysing the data, descriptive statistics and themes were used. The findings show that students had conceptual difficulties in the form of alternative conceptions and other difficulties such as conceptualising oxidising agents using the combined concept of oxidation and ionic charge. It was therefore recommended that Chemistry teachers should deploy the most appropriate pedagogical content knowledge that could help students conceptualise very well the concept of oxidation number and not to confuse it with ionic charges of particles involve in chemical equations.
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Multiwalled carbon nanotube and Chromium (III) oxide nanocomposite was used as a mediator in glassy carbon electrodes to improve the performance of electrode for the detection of nitric oxide in comparison with unmodified electrodes. The sensor could be operated as a detector in a flow injection analytical setup under physiological conditions (pH 7.5, 0.1 M phosphate buffer) with an operating potential from 800 mV (vs. Ag/AgCl), a flow rate of the carrier of 0.4 mL/min and an injection volume of 200 μL. The amperometric response of the sensor showed good linearity up to 200 µM with a sensitivity of about 21.6 nA/µM. The relative standard deviation for the repeatability of measurements for 100 µM NO was 3.9% (n = 10 measurements) and the reproducibility was 12% (n = 5 sensors). The effect of all investigated interferences (nitrite, ascorbic acid, dopamine and L-arginine) was not fatal and at 800 mV the signal ratio of NO/NO2- is around 10. The new sensor was successfully applied to the determination of NO in mice liver homogenisate after addition of L-arginine
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This article presents the results of study on the corrosion behaviour of aluminium alloys EN AW-6026 and EN AW-6082 in solution of sodium chloride (NaCl) at different pH of the medium. The corrosion resistance of thus alloys defined by gravimetric method. The results showed that the pH and concentration chloride ions can influence the corrosion rate of this alloys.
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In this study, the Mg/Al hydrotalcites-like compounds with Mg/Al molar ratio of 2 was synthesized by coprecipitation method at pH ± 10.0, temperature 70°C for 1 hour. After cooling, it treated under aging treatment conditions at 30°C. The effect of various aging time on treated samples was studied for 1, 2, 3 and 4 days were chosen. The materials were characterized by powdered sample X-ray diffraction (XRD), Fourier transforms infrared spectroscopy (FT-IR) and scanning electron microscopy (SEM). The XRD pattern obtained was typical of a hydrotalcite, where show the narrow and sharp symmetric (003) reflection and strong lines at low 2Ɵ angles. The spectra demonstration wide asymmetric peaks at higher angles, that are typical of clay crystals possessing a layered structure and are similar to the form of natural hydrotalcite. Furthermore, it is shown that aging at an increased time, better crystallinity and the treatment in water slightly than in the mother liquid caused in a crystalline matter
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Mathematical fallacies are such statements in the chains of arguments that cause subtle mistakes. Using them in the process of teaching Mathematics can contribute to increasing students’ interest in learning the material as well as helping them acquire a firm and lasting knowledge in mathematical concepts and theorems. In brief, the connections between sophisms, paradoxes and paralogisms, as well as the differences between the terms „sophism” and „fallacy“, are explained. The so-called mathematical howlers and examples of them are presented in connection with the subject in consideration. This paper includes examples of the use of fallacies in the Algebraic curriculum in schools, in line with the current mathematics programs.
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In the present research paper a particular type of problems is examined, with an infinite number of cube roots involved. Different problems and questions are proposed and in terms of solving some examples two theorems are defined and proved. The study could be a good base for generating various problems from this type, used in mathematical competitions, Olympiads and for preparing such events.
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This paper gives a formalization of a problem for presenting a number by using particular set of equal digits and a range of math operators. Based on the formal definition, an example for presenting 7 in two ways by using 4 times the digit 2 is given. The first option is without any restrictions and the objective is to have the maximum possible number of solutions. For the second option there are some restrictions concerning the type and number of operations. The aim here is to achieve a result with minimum deviation from the constraints. Both options can be used as a type of math quiz for improving the cognitive way of thinking.
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We generalize a problem in Wasan geometry involving an arbelos, and construct a self-similar circle pattern.
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This article is intended for anyone who studies programming, as well as for his teachers. The article deals with the some aspects of teaching programming languages C++ and Java. It presents some essential and interesting examples of the advantages of using bitwise operations to create efficient algorithms in programming. Particular attention is paid to the entertaining task of writing a program receiving Latin squares of arbitrary order.
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The question of the need to teach schoolchildren to use cyberspace safely is the most discussed today. The analysis of the methodological literature and Internet sources suggests that almost all the proposed materials are instructive in nature. Students are not involved in activity of cyber threat recognition and decision making in difficult situations. In addition, the proposed tools do not constitute a comprehensive system that will allow schoolchildren to learn the basics of cybersecurity at school. This is led to holding the „The week of cybersecurity“ event at school as a comprehensive means to prepare schoolchildren for safe behavior in cyberspace. The article describes the experience and results of the first week of cybersecurity in educational institutions of the Arkhangelsk region. This event made it possible to implement the proposed conceptual model of teaching the basics of cybersecurity at school.
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A remote contest is a form of extracurricular students’ activity. Using the example of “Infoznaika”, a remote contest in computer science, the article discovers the didactic potential of such events, which includes monitoring the progress of computer science acquisition, improving the arrangement of extracurricular students’ activity, increasing the motivation and cognitive activity in computer science, making interdisciplinary relationships, forming meta-disciplinary competences of junior students and disciplinary competences of middle and senior students.
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