The overall aim of education is to train proactive, motivated, and independent citizens to face and overcome continuous challenges. Critical thinking—finding solutions to problems—is of primary importance in the 21st century to handle challenging situations and deal with obstacles in careers. A critical literature review approach was used to assess, critique, synthesizes, and expand the theoretical foundation of the topic. Teaching mathematical problem-solving is an efficient way to develop 21st-century skills and to give cross-curricular experiences with real-world meaning to learners. Concrete examples were presented to prove that Pólya’s heuristic could be used in a broader context to help learners acquire the modern skills needed to succeed in their careers. By including in the learning process and practicing specific methods for solving mathematical problems, students could learn a way of thinking to approach and solve problems successfully in a broader context in life. The paper’s outcome provides teachers and educators with methods, learning models, and strategies for developing 21st-century skills in students at all levels during classroom activities.

The rapid changes in information and communication technology (ICT), the increasing availability of processing power, and the complexity of mathematical software demand a radical re-thinking of science, technology, engineering, arts, and mathematics (STEAM), as well as mathematics education. In the transition to technology-based classrooms, the constant use of educational software is a requirement for sustainable STEAM and mathematics education. This software supports a collaborative and actionable learning environment, develops 21st-century skills, and promotes the adoption of active and innovative methodologies. This paper focuses on learning and teaching mathematics and analyzes the role and utility of ICT tools in education as computer algebra systems (CAS) and dynamic geometry systems (DGS) in implementing active and innovative teaching methodologies related to sustainable STEAM education. Likewise, it highlights the necessity for learners to have extensive knowledge of mathematical theory, an essential asset to ensure the reliable and effective use of mathematical software. Through a practical experiment, this study aims to highlight that a mixed teaching method can significantly improve the sustainability of math knowledge. It provides various solid examples of CAS and DGS applications to emphasize its usage rooted in a mathematical background to enable learners to identify when the computer solution is unreliable. The study highlights that the proper use of CAS and DGS is an efficient method of deepening our understanding of mathematical notions and solving tasks in STEAM subjects and real-life applications. This paper’s goal is to direct our attention to the proper and intelligent use of computer tools, especially symbolic calculators, such as CAS and DGS, without providing an in-depth analysis of the challenges of these technologies. The outcomes of the paper should offer educators and learners new elements of active strategies and innovative learning models that can be immediately applied in education.

The article points out some of the challenges faced by students at the University of Ostrava, Comenius University in Bratislava and Al-Farabi Kazakh National University, who had almost no previous practice in online teaching during the COVID-19 pandemic situation. The students from the mentioned universities were interviewed to share their experiences with online teaching and learning during the COVID-19 lockdown. In this paper, qualitative pedagogical research in the local conditions of the three mentioned universities is used, with the processing of answers of selected students who were interviewed as an available sample. The students were also asked to describe their impressions of this situation from their social and personal points of view. The focus is on the positive and negative aspects, boundaries, and problems of online university teaching during the pandemic situation, as well as changes in the personal life of the students. The aim of this introductory small-scale study is to provide a basis for future research on the impact that the COVID-19 situation has had on the educational process at the above-mentioned universities, as well as to assist educational providers in foreseeing and eliminating the possible problems of lecturers when establishing an online educational environment. Some conclusions are drawn from the interviews that offer potential for further research in educational science, because many difficulties from the students’ point of view are related to their social status, lack of social contact, technical problems with Internet connections, the carrying out of lectures and the exams of students. The students’ answers are categorized, and each category is described.

Education is a constantly evolving field that encompasses various approaches to teaching and learning. In our paper, we focused on qualitative research conducted with future primary level teachers using a STEAM (Science, Technology, Engineering, Arts and Mathematics) approach. The research involved classroom observation, analysis of the student work, and obtaining interpretations from the students via report protocols and focused interviews. We examined the students’ learning and problem-solving strategies within STEAM-based activities as well as their perspectives on its use in primary education. Students participated in the research activity in two stages. In the first stage, further referred to as Activity 1, they followed a predetermined algorithm, instructions to construct an electronic device. The instructions for this device were developed to serve as a resource for primary education and to prepare the students for the second stage. In the second stage, further known as Activity 2, the students were tasked with creating a new electronic device together with providing the instructions. The new device was required to have a practical application. Following the completion of these activities, we collected and analyzed the procedural reflections and didactic interpretations from students. Within these interpretations, we also sought their opinions on how STEAM projects like these could help develop various aspects of STEAM competencies in children such as technical skills and knowledge, algorithmic thinking, and device architecture as well as mathematical and scientific thinking.

Microlearning brings a number of advantages that make it an attractive tool for education. Short and clear lessons minimize the risk of information overload, promote better understanding of the material, and enable quick and easy retention of information. The relevance of microlearning lies in its ability to respond to current educational needs and trends. Microlearning is considered to be a flexible, effective and innovative approach to learning that can be successfully applied in different learning environments, for different learning content and to different target groups. The aim of the research is to describe the impact of microlearning modules on the level of learning outcomes and perceived effectiveness in different target groups. Our research focuses on examining the effectiveness of microlearning on lower secondary school pupils, secondary school students and librarians. In the context of lower secondary schools, specific microlearning units thematically focused on programming and working in Scratch will be presented. This part of the research was carried out using an experiment and a questionnaire survey. In the experiment, the effectiveness of this type of teaching and digital learning materials was investigated. The experiment was conducted in parallel classes of a lower secondary school, and the participants were pupils aged 11 to 12 years old. The aim of the questionnaire survey was to find out the probands' opinions about microlearning. In the context of secondary schools and learning librarians, we conducted a survey of available materials and microlearning modules. In this paper we will introduce general concepts and strategies, with more detailed descriptions of specific modules to be published later. This paper aims to contribute to the growing awareness of the importance of microlearning as an effective educational tool and highlights its potential in different educational settings, especially lower secondary schools, thus providing useful material and inspiration for educators. The results suggest that the implementation of microlearning in lower secondary school settings has led to improved student learning outcomes.

In this paper, the authors describe some activities which might be implemented within the framework of Slovak and Polish GeoGebra Institute. It's presented new goals defined in new Slovak curriculum ISCED 3 for Mathematics at secondary schools. Several students' works, which use the GeoGebra software, become a concrete example for motivation during the educational process. GeoGebra can help teachers to use the time more effectively. The authors present introduction method of the definition of the derivative function through the Pythagorean Theorem.