Education of mathematics during the coronavirus crisis

At the turn of 2019 and 2020, after the emergence of a new type of coronavirus, a new situation arose worldwide. This crisis has also caused changes in education at all levels schools in Slovakia. Primary schools, secondary schools, but also universities had to transfer their teaching from buildings to online space. We switched to distance education. We were forced to develop a number of new digital teaching aids, both in the form of Word texts, but also animated and spoken Power Point lectures. We also used the prepared lectures, which we found on the Internet. After the study materials presented and distributed in this way, we also performed a retrospective check of the acquired knowledge by the students. It was the elaboration of written works by students in individual study units, but also seminar works, credit and exam works. Students received points for each work submitted in this way. By adding the points obtained in this way, the students were awarded a total mark according to the ECTS credit scale. In our paper, we also deal with the evaluation of points obtained by students. We found out whether mastering individual knowledge had an impact on the control of others and how it affected the overall evaluation of the student.

Analysis and evaluation of students' results in the subject of Mathematics for Technicians

Integral calculus is a branch of mathematics concerned with the determination, properties, and application of integrals. It is predominantly used in technical applications. Technical engineers, statics, physicists and others use it in their calculations on practice. There was a requirement from practice for technical universities to include integral calculus in their curricula. The subject Mathematics for Technicians is taught at the Department of Mathematics, the Slovak University of Agriculture in Nitra. The content of this subject is to teach its students to calculate indefinite and definite integral. Our research analysed students' knowledge in counting indefinite and definite integral. We used the methodology of evaluation and comparison of test results taken in the 8th week of the term and at the end of the term. The main hypothesis saying that the results of students’ tests taken at the end of the term are better that those taken in the mid- term has confirmed to be correct.

Regression analysis of expanded polystyrene properties

Own measurements examine the tensile strength of expanded polystyrene (EPS) depending on its bulk density. 30 samples were used to calculate the correlation coefficients between these two properties. In addition to the standard Pearson coefficient, we also calculate the rank correlation coefficients, Spearman´s and Kendall´s. By testing the hypotheses, we verify the correlation of the entire population. After finding a relatively close correlation (0.6 - 0.8), we apply different regression models, especially polynomial, but also exponential. We evaluate the properties of parameters in models, their point estimates and confidence intervals. Based on the characteristics of each of the seven regressions, we found the best exponential form of the dependence, before the linear polynomial. The complexity of a mathematical model does not always mean that it is also a more accurate approximation. On the other hand, a simple model makes it possible, in addition to its ease of use, to more closely reflect the examined dependence.

Consumers’ motivation and purchasing behavior in selected shopping chain with grocery: a case study

Food products are among the most frequently purchased goods, because they are part of the basic life necessities of every individual. In this paper, we focused on the shopping behavior of consumers who buy products in the shopping chain COOP Jednota. The main goal was the analysis of motivational and purchasing behavior of consumers and statistical evaluation of independence between observed features. We obtained data for the analysis by the method of questionnaire and we evaluated the answers of the respondents focused on four research questions. We applied -test of independence to determine dependence between these statistical features: respondent's education, frequency of respondent's purchases, effect of advertising on purchasing of consumers, and amount of the monthly payment for the purchase. Results confirmed that there is dependence between the respondent's education and the frequency of purchases in the mentioned shopping chain. The dependence was not approved in the following three cases: between the respondent's education and the incentive effect of advertising on purchases; between the respondent's education and the monthly payment for the purchase, and between the frequency of purchases in the COOP Jednota chain and the motivational effect of advertising on the respondent's purchase.

Consumers’ motivation and purchasing behavior in selected shopping chain with grocery: a case study

Food products are among the most frequently purchased goods, because they are part of the basic life necessities of every individual. In this paper, we focused on the shopping behavior of consumers who buy products in the shopping chain COOP Jednota. The main goal was the analysis of motivational and purchasing behavior of consumers and statistical evaluation of independence between observed features. We obtained data for the analysis by the method of questionnaire and we evaluated the answers of the respondents focused on four research questions. We applied - test of independence to determine dependence between these statistical features: respondent's education, frequency of respondent's purchases, effect of advertising on purchasing of consumers, and amount of the monthly payment for the purchase. Results confirmed that there is dependence between the respondent's education and the frequency of purchases in the mentioned shopping chain. The dependence was not approved in the following three cases: between the respondent's education and the incentive effect of advertising on purchases; between the respondent's education and the monthly payment for the purchase, and between the frequency of purchases in the COOP Jednota chain and the motivational effect of advertising on the respondent's purchase.

The assessment of students’ achievements from the subject Basics of Accounting in the study program Accounting at FEM SUA in Nitra

The Faculty of Economics and Management is providing quality economic and managerial education within the accredited study programs. We analyzed the obtained students´ results of study program Accounting in the subject of Basics of Accounting. The analysis subject was the students’ success in the before mentioned subject and changes in the final assessment. We assessed reached results of 318 students for 4 academic years, this subject was obligatory for these students. The final assessment was analyzed as a whole, as well as the manner these students achieved. We were interested whether the student met the conditions in an ordinary term. According to our opinion the analysis considered the necessary factor, the type of graduated secondary school. The average grade in individual terms was calculated by the arithmetic mean from all grades “A - FX”, the total average grade was similarly calculated as the arithmetic mean of the final assessment recorded in the reports. In the analysis, the structure of students was also described through the mode, which is defined as the most common value of a statistical feature. We found out that the graduates of business academy prevail in the study program Accounting. We assumed that the graduates of business academies reach the best results in comparison with other students. However, the aggregated results of assessments did not confirm the existence of such an advantage. The worst average assessment is characteristic for the first corrective term, on the contrary, the best average grade is given in the second corrective term.

Analysis and evaluation of students' results in the subject of Mathematics for Technicians

Integral calculus is a branch of mathematics concerned with the determination, properties, and application of integrals. It is predominantly used in technical applications. Technical engineers, statics, physicists and others use it in their calculations on practice. There was a requirement from practice for technical universities to include integral calculus in their curricula. The subject Mathematics for Technicians is taught at the Department of Mathematics, the Slovak University of Agriculture in Nitra. The content of this subject is to teach its students to calculate indefinite and definite integral. Our research analysed students' knowledge in counting indefinite and definite integral. We used the methodology of evaluation and comparison of test results taken in the 8th week of the term and at the end of the term. The main hypothesis saying that the results of students’ tests taken at the end of the term are better that those taken in the mid- term has confirmed to be correct.

Education of mathematics during the coronavirus crisis

At the turn of 2019 and 2020, after the emergence of a new type of coronavirus, a new situation arose worldwide. This crisis has also caused changes in education at all levels schools in Slovakia. Primary schools, secondary schools, but also universities had to transfer their teaching from buildings to online space. We switched to distance education. We were forced to develop a number of new digital teaching aids, both in the form of Word texts, but also animated and spoken Power Point lectures. We also used the prepared lectures, which we found on the Internet. After the study materials presented and distributed in this way, we also performed a retrospective check of the acquired knowledge by the students. It was the elaboration of written works by students in individual study units, but also seminar works, credit and exam works. Students received points for each work submitted in this way. By adding the points obtained in this way, the students were awarded a total mark according to the ECTS credit scale. In our paper, we also deal with the evaluation of points obtained by students. We found out whether mastering individual knowledge had an impact on the control of others and how it affected the overall evaluation of the student.

The assessment of students’ achievements from the subject Basics of Accounting in the study program Accounting at FEM SUA in Nitra

The Faculty of Economics and Management is providing quality economic and managerial education within the accredited study programs. We analyzed the obtained students´ results of study program Accounting in the subject of Basics of Accounting. The analysis subject was the students’ success in the before mentioned subject and changes in the final assessment. We assessed reached results of 318 students for 4 academic years, this subject was obligatory for these students. The final assessment was analyzed as a whole, as well as the manner these students achieved. We were interested whether the student met the conditions in an ordinary term. According to our opinion the analysis considered the necessary factor, the type of graduated secondary school. The average grade in individual terms was calculated by the arithmetic mean from all grades “A - FX”, the total average grade was similarly calculated as the arithmetic mean of the final assessment recorded in the reports. In the analysis, the structure of students was also described through the mode, which is defined as the most common value of a statistical feature. We found out that the graduates of business academy prevail in the study program Accounting. We assumed that the graduates of business academies reach the best results in comparison with other students. However, the aggregated results of assessments did not confirm the existence of such an advantage. The worst average assessment is characteristic for the first corrective term, on the contrary, the best average grade is given in the second corrective term.

Regression analysis of expanded polystyrene properties

Own measurements examine the tensile strength of expanded polystyrene (EPS) depending on its bulk density. 30 samples were used to calculate the correlation coefficients between these two properties. In addition to the standard Pearson coefficient, we also calculate the rank correlation coefficients, Spearman´s and Kendall´s. By testing the hypotheses, we verify the correlation of the entire population. After finding a relatively close correlation (0.6 - 0.8), we apply different regression models, especially polynomial, but also exponential. We evaluate the properties of parameters in models, their point estimates and confidence intervals. Based on the characteristics of each of the seven regressions, we found the best exponential form of the dependence, before the linear polynomial. The complexity of a mathematical model does not always mean that it is also a more accurate approximation. On the other hand, a simple model makes it possible, in addition to its ease of use, to more closely reflect the examined dependence.