In the summer of 2022, several summer schools focused on mathematics education and research in mathematics education were held. Several of them were attended by the staff of the Department of Mathematics of the Faculty of Mathematics of the University of Constantine the Philosopher in Nitra as teachers and students of different disciplines of the University of Constantine the Philosopher in Nitra.

The first of these summer schools, Socio-scientific Issues in Mathematics and Science Initial Teachers Education: Join a unique intercultural experience preparing you for the future classroom! was held on 15-24 June 2022 at the Faculty of Education, Charles University in Prague, Czech Republic. The summer school was attended by five students of the Constantine the Philosopher University: Radoslava Jánošíková, Andrea Kóňová, Rita Molnárová, Matej Hamran and Marek Moravčík from different study programmes: mathematics, computer science, English language, Spanish language and PhD students from the Department of Ecology and Environmental Studies. Within the summer school workshops on the following topics: preparation of teaching with the use of innovative teaching methods and outdoor teaching with the support of digital technologies; activating methods in teaching interesting or controversial topics: Insects as Food for Humanity; Analysis and Interpretation of Large Data Sets; and Environmental Themes in Contemporary Visual Art were prepared and facilitated by doc. PaedDr. Soňa Čeretková, PhD. The summer school was organised within the Erasmus+ ENSITE project (https://icse.eu/ensite/), as was the summer school Dealing with environmental issues in science education - Deepening future science and maths teachers' learning by teaching, which took place in Varna, Bulgaria, 31 July-11 August 2022. This summer school, organised by the Institute of Mathematics and Computer Science of the Bulgarian Academy of Sciences, was attended by five students from the Teacher Education for Primary Education programme, Simona Balazova, Natalia Cervenanova, Simona Labudova, Simona Kavecka and Barbora Zivcicova. A two-day workshop on mathematical trails as a tool for developing awareness of environmental issues was prepared in Varna by doc. PaedDr. Janka Medová, PhD. and PaedDr. Veronika Bočková, PhD.

During the two-day Summer School of Didactics of Mathematics, which took place on 6-7 July 2022 at the Pavol Jozef Šafárik University in Košice, Slovakia, primary and secondary school teachers solved a mathematical trail using the MathCityMap application in the city centre. The seminar led by Mgr. Silvia Haringova continued after solving all the tasks in the premises of the university. During the seminar, participants learned how to create a trail on the portal and received manuals for creating math trails in MathCityMap.

A workshop on experiences of working with students and teachers in solving open-ended mathematical problems was conducted by doc. PaedDr. Janka Medová, PhD. She and PaedDr. Veronika Bočková, PhD. conducted a workshop on mathematical trails in the centre of Utrecht, the Netherlands, as part of this summer school. The implementation of the summer school was also supported by the ICSE Academy project, in which researchers from several departments of the Faculty of Natural Sciences and Informatics collaborate with the Freudenthal Institute of the University of Utrecht to design and implement professional development programmes for teachers of mathematics, science and engineering (STEM) subjects with a European dimension.

Janka Medová went also to Usti nad Labem in the Czech Republic, where she attended an event called the Summer School of Didactics of Science STEM Subjects, consisting of several accredited programmes for teachers of mathematics and science. As a lecturer, she collaborated in the implementation of the programme Didactic Principles in STEM subjects with colleagues from the J.E. Purkyně University, Ústí nad Labem and Charles University in Prague. The proposed professional development programme is based on a joint book of 16 authors, didacticians of various subjects, entitled Didactic principles in science education: methodological guide for teachers of biology, chemistry, physics, geography, informatics, mathematics and lecturers of environmental education. The book was officially invited on Thursday, 18 August 2022, with the participation of the Dean of the Faculty of Science of UJEP and the Faculty of Education of Charles University.

From 22 to 26 August 2022, the prestigious summer school for doctoral students and young researchers called YESS (YERME Summer School) organized with the support of ERME (European Society for Research in Mathematics Education) at Johannes Kepler University in Linz, Austria, was attended by a doctoral student of the Department of Mathematics, a student of the study programme Theory of Mathematics Education, Mgr. Silvia Haringová. In TWG 1: Mathematics teacher expertise, practice, and professional development, led by Alf Coles from the University of Bristol (UK), she presented partial results and proposed methodology of her PhD thesis on Collaboration as a means of professional growth of mathematics teachers.

Based on the feedback provided, we can conclude that participants and lecturers got from the summer schools valuable feedback on their work, international experience, a lot of new information and inspiration for further study and work, as well as new contacts in workplaces in Europe and around the world.