Mathematics (e-books)

E-book

Katarína Brinziková

This teaching guide for instructing students in Internet of Things programming using mathematical modeling and data analysis is intended for mathematics and computer science teachers in elementary and secondary schools, as well as for students training to teach these subjects. It responds to the requirements of the new curriculum reform in Slovakia, which emphasizes a cyclical learning process, the development of data, digital, and mathematical literacy, and the integration of teaching with real-world problems and technologies. The guide is designed in accordance with the methodological framework of design-based research. It contains technological and methodological foundations, as well as a set of proven teaching activities divided into three levels of difficulty. The teaching guide provides teachers with specific instructions, recommendations, and examples of best practices for the meaningful integration of IoT and mathematical modeling into teaching across different educational cycles, creating space for modern, interdisciplinary, and data-driven education.

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E-book

Daniel Klein

Statistics is defined as a scientific discipline based on learning from data and on finding, controlling, and presenting uncertainty. In these university textbooks we present the history of statistics, basic concepts of statistical modeling, measurement of dependencies, regression models, analysis of variance. We describe simple sorting, multiple comparisons, assumptions of the ANOVA model, Kruskal-Wallis test.

University textbooks are suitable for students of mathematics and computer science at the first and second level of universities. Study materials are also suitable for students of non-informatics disciplines with a view to improving their knowledge and practical experience in the fields of informatics and provide an opportunity for students to apply in IT companies in solving practical tasks.

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E-book

Peter Fedoročko (ed.)

Proceedings of the 7th Annual Doctoral Spring School 2020

From November 10 to November 11, 2020, the 7th annual Spring School for Doctoral Students at Pavol Jozef Šafárik University in Košice will take place in Košice in a modified mode in the on-line space. The scientific program of the spring school will comprise 2 plenary lectures by leading scientific experts of Pavol Jozef Šafárik University in Košice. Doctoral students will present their research papers in two sections: 24 doctoral students of Faculty of Public Administration, Faculty of Law and Faculty of Arts, and 22 doctoral students of Faculty of Medicine and Faculty of Science.

The scientific programme of the spring school will also include a panel discussion with the management of Pavol Jozef Šafárik University in Košice.

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E-book

Vladimír Zeleňák (ed.)

The proceedings contain contributions from participants of the Student Scientific Conference of the Faculty of Science at UPJŠ in Košice, which took place on April 24, 2014.

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E-book

Ľubomír Šnajder - Ján Guniš

The publication lists interim results of qualitative educational research focused on the development and evaluation of programming tasks being carried out by authors since 2005 in the frame of programming competition PALMA junior.

The publication consists of three chapters: Computer science competitions in Slovakia, Tasks in computer science education, Selected problems of PALMA junior competition. The first chapter provides an overview of computer science competitions for a primary and secondary schools in Slovakia. The second chapter described the issue of learning tasks - their components, focus, formulation types, and development system of tasks. The third chapter contains the assignments and commented author solutions of selected problems represented focus of PALMA junior competition – programming, algorithms and mathematics.

For each problem is mentioned analysis of pupils’ solutions aimed to ways of thinking, typical misconceptions, sets of preparatory and extended problems. The publication is addressed to computer science teacher trainers, authors of programming competitions problems, and computer science teachers.  

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E-book

Vladimír Zeleňák (ed.)

Proceedings of Abstracts of the Student Scientific Conference of the Faculty of Science, Pavol Jozef Šafárik University in Košice

A characteristic feature of education at high-quality universities — among which the Faculty of Science at Pavol Jozef Šafárik University (UPJŠ) in Košice proudly belongs — is the close connection between education and scientific research. Students gain knowledge in their field of study not only through theoretical coursework in individual disciplines, but also through active involvement in solving specific scientific tasks as part of research teams. This can occur during the development of final theses or through participation in the Student Research Assistant Program (ŠPVS), which was revitalized at the faculty in 2015.

The Student Scientific Conference (ŠVK) is one of the faculty’s traditional events, organized during the Faculty’s Science Days as part of Sciencefest. By its very nature, it fits seamlessly into the aforementioned framework of combining education with research, and it has long enjoyed great popularity and student interest. In 2016, the conference featured presentations by 125 students of the Faculty of Science at UPJŠ in Košice, across 16 thematic sections. This collection of abstracts provides an overview of the focus and goals of the student projects. We believe it will serve as inspiration for other potential participants of future conferences and will also be of interest to the broader public, offering additional insight into the faculty's activities.

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E-book

Vladimír Zeleňák(ed.)

The proceedings contain abstracts of contributions from participants of the Student Scientific Conference of the Faculty of Science, Pavol Jozef Šafárik University in Košice, which took place on April 22, 2015.

The Student Scientific Conference (SSC) enjoys long-term popularity among the faculty's students and teachers, and we are pleased that this was no different this year, with 128 contributions submitted to the SSC.

The contributions were organized into 19 sections, additionally complemented by an open programming competition and the final of the IHRA contest. For many students, presenting at the SSC is one of the first opportunities to gain experience in presenting their results before a professional audience. Considering the number of submitted contributions, along with the members of the expert juries from the faculty's teaching staff and the audience who came to support their classmates' presentations, the SSC is an event where a large part of the student and academic community of the faculty meets at one place and time. Many abstracts presented in this proceedings were developed as part of students' work on partial tasks that are components of research projects at the departments of the Faculty of Science, Pavol Jozef Šafárik University.

The abstracts represent, in a way, an overview of research topics at the individual workplaces of the faculty. The SSC proceedings thus serve as a useful tool that students and faculty teachers can use to present the faculty externally to partners, employers, and potential collaborators. Partners from practice have shown interest in cooperating in organizing the SSC for a long time. Since 2005, the association of IT companies has awarded a Prize for the Most Original Work and a Prize for the Work with the Best Prospects for Practical Application.

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E-book

Stanislav Lukáč - Ľubomír Šnajder - Ján Guniš - Zuzana Ješková

The publication is intended for researchers in didactics and teachers of mathematics and computer science. Our aim is to provide readers with a basic orientation in the issue of inquiry-based teaching, to explain and demonstrate several levels of student inquiry through examples, and to offer a classification of inquiry skills.

The core part of the publication consists of methodologies for inquiry-based teaching of specific topics from school mathematics and computer science. We present ideas for implementing inquiry activities, active work with information in solving various types of problems, and the application of modern digital technologies in exploring and discovering patterns.

The publication includes seven methodologies for teaching mathematics and eight methodologies for teaching computer science in the 1st and 2nd years of secondary school.

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