This paper presents the results of empirical research focused on the quality of teaching and learning methods, from the perspective of master’s students at one of the Czech universities. The research focused on learning outcomes, teaching forms and methods, and the use of ICT technologies following a quantitative survey in this area, which showed the need to examine the topic in depth and in a broader context. Data for the qualitative research were collected through in-depth interviews; the primary research method was focus groups. The data were processed and analysed by coding techniques. The results showed that students prefer teaching and learning outcomes associated with the use in future practice. The teaching forms depend on the teacher’s style rather than on the declared description in the curriculum. Contrary to most practices, students prefer teaching methods that lead to active learning. The advantages are identified in the frame of involvement of ICT in teaching, which makes sense and positively impacts students’ learning; however, the effect depends on how the teaching forms are used.

The paper presents a research study on using teaching resources at lower secondary schools in the Moravian-Silesian Region. With regard to the massive inclusion of digital resources and learning materials of an electronic nature, the research aimed to find out which educational resources are used in teaching and how. The methods of use were deduced based on the activities the teachers induce in the lessons through these resources. A qualitatively oriented research design was used, based on in-depth semi-structured interviews with 15 lower secondary school teachers who had different lengths of experience and taught different subjects. It was found that all teachers still used the core textbook but supplemented it with other printed or digital textual resources. It was possible to describe how the teachers worked with textbooks and digital resources and capture specific styles in which they initiated instructional activities with printed and digital texts.

In the frame of applied mathematical modeling, a wide spectrum of that approximations of real processes has been proposed and used. The specifics of the quantitative research techniques can be suitably utilized in favour of real situations. In the case of an analysis of a big data set, the consequences between mathematical models can be interesting in the selection of appropriate models. Particularly in a regression analysis, the spectrum of model structures has been widely offered depending on the expert approach or regarding the quality criteria. The quality of the model may not be generally the priority whether on other aspects is a mathematical model focused. For purposes of description of various situations that occurred due to setting the appropriate structure of mathematical models, their fitting behavior is identified progressively in this paper. In this contribution, the selected type of models can be classified as multivariable regression models. The partial dependences of Cardinal-Variables' Dependences are analysed steeply from one-dimensional cases to multidimensional models. The applied research, in which the results can be particularly utilized regarding the progressively changed structure of model, the research within frame of PISA monitoring's Programme for International Student Assessment) is presented.