Bádateľsky orientované vyučovanie matematiky a informatiky na stredných školách

E-publication

Beáta Valkay ed.
Ivana Slepáková-Monika Balogová a kol.

EFFUSE - Scientific Education for Advanced is an educational material designed for university students interested in ecological sciences, biology and environmental protection. The publication was developed as part of the EFFUSE project and focuses on the scientific investigation of living organisms in the river ecosystem, with an emphasis on their ecological role and importance as bioindicators. The river ecosystem is a dynamic environment where a wide range of organisms can be studied, from algae and phytoplankton to aquatic invertebrates, fish, amphibians and reptiles. This publication presents a detailed study of their adaptations, life cycles, reproductive strategies and their importance for ecological balance. Particular attention is paid to fish and amphibians, whose environmental demands and sensitivity to pollution make them important indicators of water quality and environmental status. The publication also provides guidance on how to integrate their study into university education in the form of practical research. It also includes a chapter on science education in the context of sustainable development, which is often absent from university curricula in Slovakia and Ukraine. This material promotes the link between theory and practice and develops students' scientific thinking in order to prepare them to meet the environmental challenges of the future.

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E-book

Karel Saksl

The aim of these study texts is to provide students in the second and third levels of higher education with specific guidance on processing 2D diffraction data, performing phase analysis from X-ray diffraction data, and refining microstructural parameters of identified phases using the Rietveld refinement method.

This guide is designed in the form of real-world tasks from materials research and leads the reader step by step through the processes of processing, evaluating, and interpreting the measured data. For this purpose, freely accessible programs such as Fit2D, QualX, POV-Ray, and GSAS II will be used, as well as a freely downloadable commercial program (Diamond) that allows for task execution in demonstration mode. Phase analysis will be conducted exclusively using the freely distributable crystallographic database Crystallography Open Database (COD).

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E-book

Gabriel Semanišin - Emil Hutňan - Jana Oleničová

The proceedings contain abstracts of contributions from participants of the UNIFOS 2014 conference, University Information Systems in Košice, which took place from October 27 to 29, 2014.

ICT centers are important element that provide functioning and development hardware and software infrastructure at Slovak Universities. There are more differences between them in real position, management, personal sources and financing. ICT centers provide a wide range of services to large number of university users and they implement the policy of information security recently.

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E-book

Michal Jaščur

This monograph is devoted to the discussion of effective field theory based on the differential operator method, originally introduced by Honmura and Kaneyoshi in 1979, which remains actively used for theoretical studies of localized spin models of magnetism—particularly variants of the Ising model. To date, this methodology has been applied by numerous authors to investigate a wide range of systems, including crystalline systems, diluted magnetic systems, systems with random exchange interactions, amorphous magnetic materials, systems under random magnetic and crystalline fields, thin magnetic layers, magnetic systems with free surfaces, binary and ternary magnetic alloys, among others.

During my scientific career, I have collaborated with several leading experts in this field—including Prof. Kaneyoshi, with whom I completed two long-term research stays—to advance the development of the differential operator method (and consequently effective field theory). Within this research area, I have published over 40 scientific papers in prominent international physics journals. These works include both methodological advancements and significant applications that predict intriguing physical phenomena, such as multicompensation phenomena in ferrimagnets.

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E-book

Ján Guniš - Ľubomír Šnajder

Prílohy

College scripts Programming in Python 1 are intended for future teachers of computer science. The content of the course is related to the teaching of programming in Scratch and is an introduction to text-based programming in Python.

Programming is introduced as a means of developing problem-solving skills. The first chapter is devoted to problem solving. The next 12 chapters sequentially introduce basic language constructions, data structures, and selected types of algorithms. Each of these chapters begins with an introduction to the problem. This section is primarily intended for self-study, to prepare students for the exercises. The following subchapter summarizes and completes the knowledge, and additional insights and approaches related to the chapter topic are presented. The chapters include a collection of exercises designed to practice and deepen knowledge and skills on the topic.

The final part of the chapter presents the solved problems. This section serves as a guide to solving the problems in the collection.

i

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E-book

Božena Mihalíková - Ondrej Hutník - Jozef Kiseľák

The textbook is devoted to the mathematical analysis of infinite series of numbers and functions. It is intended for students of mathematics, physics and computer science, as well as interdisciplinary study of combination with mathematics. It contains a theoretical background for investigating the convergence of infinite series, expanding functions into power and Taylor series, as well as the use of these results in various problems of mathematics, physics, and computer science. Using the historical background the textbook clarifies the motivations and the need to introduce some key concepts and their further development. Basic concepts and statements are demonstrated on a large number of solved exercises, but it contains a number of exercises for independent practice. Several results are supplemented by dynamic animations executable in the electronic version of the textbook.

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E-book

Vlasta Demečková - Petra Hradická - Petra Adamková

The learning material for the course Practice in Immunology is based on several years of experience with teaching this subject, but mainly to provide students from the Biology Department at the Faculty of Natural Sciences, UPJŠ in Košice with sufficient theoretical background for practical exercises. It also serves as a scientific diary for detailed recording of all experimental data necessary for preparing laboratory protocols from individual exercises.

In studying biology, it is essential that students thoroughly understand not only the basics of each discipline but also acquire practical skills, including designing scientific experiments, selecting appropriate analytical/investigative techniques up to interpreting and presenting experimental data. The goal of this new publication is therefore to provide master's students with a practical study guide that supports and expands their knowledge about basic immunology principles.

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E-book

Miroslava Martinková

This electronic material provides the basic principles of creating a systematic nomenclature of organic compounds, from the simplest hydrocarbons to the more complicated nomenclature of carbohydrates. For some groups of derivatives, alternative ways of generating system names are also mentioned, as well as the most common trivial names that are still in use in the literature and in practice, in some cases being the characteristic (dominant) ones. In the introductory section, the basic rules to be respected when writing names of organic compounds are discussed. This document is intended primarily for interdisciplinary undergraduate and graduate students as support material for the courses Organic Chemistry and Selected Chapters in Organic Chemistry and Biochemistry. In the final section of this document, solved examples are given so that the student can check how the rules for forming the names of organic compounds have been understood.

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E-book

Jana Shepa - Ivana Šišoláková (eds.)

Abstracts of the 4th International Conference Nanomaterials: Fundamentals and Applications (NFA) 2020 is the contributions summary of the conference participants. The conference will feature three invited lectures and eight registered lectures. This conference is a tool for creating a dialogue between experts in the field of nanomaterials, their use and overall application in various fields. Papers in the proceedings are thematically divided into 6 areas. All contributions are highly professional and interesting and can contribute to further creative scientific work.

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E-book

Božena Mihalíková - Ján Ohriska

This text is intended for first-year students in 76-12-8 ‘General Education Teaching’ in combinations with mathematics. It is based on the authors' lectures and their more than ten years of experience in teaching this subject at the Faculty of Education of the University of Applied Sciences. When writing it, the authors tried to take into account the specificity of mathematics teaching studies.

The present teaching text was not written due to the lack of textbooks on mathematical analysis. The reason for writing it was the authors' findings that the students do not have sufficient experience in working with specialized literature from secondary school, the difficulties for many of them (especially in the first semesters) are caused by even a slightly different interpretation, not rarely also by a change in labeling, which makes them miss the essence of the studied problem. The authors of the text did not set out to be original. Their aim was to make such a selection of topics as is necessary for a future teacher of mathematics and to choose such a method of interpretation which, in their opinion, is suitable for first-year students.

A good mastery of the curriculum (expansion of the mathematical apparatus and the related possibilities of applying other methods of proof as well as the acquisition of the necessary numerical skills) presupposes the use of other literary sources (textbooks, collections of problems) according to the teacher's recommendation.

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Danica Studenovská a kol. 

Táto zbierka úloh je určená poslucháčom Prírodovedeckej fakulty UPJŠ, ktorí sa v rámci predmetu Matematika I. zoznamujú s pojmami funkcie, limity, derivácie, integrálu a ich aplikáciami. Ide najmä o študentov nematematických odborov a učiteľských kombinácií, avšak táto zbierka je vhodná aj pre iných študentov a záujemcov o základy matematickej analýzy.

Autori

E-book

Monika Balogová - Viktória Vargová - Kristián Gulyás - Natália Pipová - Dalibor Uhrovič -Marcel Uhrin

A peer-reviewed publication dealing with the biology and ecology of the European green toad, bringing new findings through scientific research on the roosting ecology, spatial activity and dispersal of this protected species in urban environments. The subject matter of this publication is highly topical, as amphibians represent the most threatened vertebrate group in the world. This work is suitable not only for university students interested in batrachology, amphibian ecology, and vertebrate zoology, but also for conservation workers, municipalities, and specialists directly involved in the reconstruction of urban areas with green toads. Last but not least, this publication is suitable for enthusiasts with an interest in nature and its conservation.

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E-book

Gabriela Andrejková - Ľubomír Antoni

Machine learning addresses the issues of how computer programs recognize complex patterns and make decisions based on data. In these university textbooks, we focus on theoretical knowledge in the field of machine learning in which we present the creation of concepts for objects, the preparation of concepts, hypotheses and the process of learning from examples. We describe Boolean formulas and their representations, probabilistic learning, linear and logistic regression, linear modeling and classification. Clustering and the Bayesian approach to machine learning conclude this publication.

University textbooks are intended for students of master's degree programs in computer science.

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E-book

Vladislav Kolarčik

Flow cytometry is a diagnostic and research technique that enables rapid analysis of cells, nuclei and organelles of plants and other organisms. In plant biology, it is most often used for DNA content analysis in a wide range of applications. It is the method of first choice and its importance is even increasing compared to competing technologies. It is unrivaled in speed, accuracy, repeatability and low cost. Flow cytometry has become a standard tool in laboratories focused on biological-ecological plant research.

This textbook provides information on the historical development of flow cytometry and its establishment in the analysis of the plant genome. It describes the procedure of sample analysis to determine the nuclear DNA content and presents the basic applications, such as determination of genome size, ploidy level and reproduction modes of plants and determination of endopolyploidy level in plant tissues. These college textbooks are intended for students, teachers and anyone interested in the use of flow cytometry in scientific work with plant cells.

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E-book

Katarína Cechlárová - Eva Pitoňáková (eds.)

Proceedings of Abstracts from Contributions by Participants of the Student Scientific Conference at the Faculty of Science, UPJŠ in Košice, Held on April 26, 2017

This is the fifth edition of the proceedings from the Student Scientific Conference (ŠVK) at the Faculty of Science, Pavol Jozef Šafárik University in Košice. We are pleased that ŠVK has become an integral part of faculty life and a showcase for the quality of education provided. In 2017, ŠVK took place as part of the traditional Science Days on April 26, 2017. 105 students from the Faculty of Science presented their work. Contributions were organized into 15 sections, supplemented by an open programming competition involving 17 students and the final round of the IHRA competition, which included 27 teams from across Slovakia.

The abstracts in this proceedings demonstrate that students at the Faculty of Science, UPJŠ, acquire knowledge and skills in their field not only through theoretical study of disciplines but also through active engagement in solving partial scientific problems aligned with research goals at the faculty’s institutes. These abstracts also provide an overview of the faculty’s scientific activity, which we believe will be of interest to the broader public.

doc. RNDr. Gabriel Semanišin, PhD.

Dean of the Faculty

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E-book

Mária Vilková - Monika Garberová - Michal Goga

Nuclear Magnetic Resonance (NMR) is currently a widely used analytical tool that finds application in many fields of science and technology. The broadening of its practical use brings with it the necessity to create educational texts appropriate to the given scientific discipline.

This university textbook is intended for students of biology and serves as a supplement to the study materials for the advanced master's course "Biology of Lichens." At the same time, it represents a useful resource for master's and doctoral students involved in research, helping them interpret NMR spectra and present basic theoretical concepts.

The textbook briefly describes the important aspects of each NMR spectroscopic technique without delving excessively into the physical principles of individual methods or complex mathematical analyses. In this edition, the structures of lichen metabolites have been included, which students will isolate, purify, and identify using various analytical methods during practical exercises. An entire chapter is dedicated to a detailed description of solving the NMR spectra of isolated metabolites, with each step in elucidating the structures of both known and unknown metabolites explained in detail. The solved tasks are followed by numerous unsolved examples, including high-resolution 1D and 2D NMR spectra of metabolites, intended to further develop the acquired knowledge and skills of students and doctoral candidates in structure elucidation using NMR spectroscopy.

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