In this paper the authors described the influence of the computer-based environment on students’ learning achievement of the multidimensional calculus, in particular double integrals. The research was conducted with the second year students at the University of Kragujevac, Serbia, with two groups of students: the experimental and the control one. During the learning process of the experimental group, the materials made in Wolfram Mathematica were used for visualization. Students from the experimental group used these materials in order to successfully solve their double integral tasks. In the control group, students did not use a computer. The students in both groups got the identical tasks in their learning process and for the exam. During the exam, the students from both groups were not allowed to use computers. The results of the students’ exam tasks were analyzed, with the emphasis on influence of visualization using computer environment, in determining the domain and integration bounds within solving double integrals. It was shown that the students from the experimental group had better results in all the exam tasks and that the software application for the visualization of multivariate functions contributed to better students’ achievements in determining the domain of integration and the integration bounds in order to solve double integrals.

The aim of the research presented in this paper was to examine the potential differences (and similarities) between the attitudes of mathematics teachers and of students towards several aspects of online instruction. Our convenience sample comprised a total of 532 students in grades 5-8 of primary school and high school students as well as 110 mathematics teachers, who rated their attitudes and views on these questions on a Likert scale, using a Google Forms questionnaire. The results of the survey suggest that there is no significant difference between the attitudes of students and teachers regarding teachers' skills in online teaching, while teachers tend to believe that students are less well prepared for the effective implementation of online mathematics instruction than students themselves think. Also, a far greater percentage of students than mathematics teachers believe that online mathematics instruction is effective, and that they can successfully acquire the appropriate mathematical knowledge and skills through online instruction. The results also indicate that students tend to rate different types of mathematics classes much more highly (teaching, practice, revision and assessment) than teachers do.

The contents of calculus, known for their complexity, present significant challenges for students, particularly in mastering multiple integrals and effectively visualizing related concepts. The transition to distance learning prompted by the COVID-19 pandemic has further complicated the learning process in multiple integrals. In line with this and considering the potential of computer-supported collaborative learning (CSCL), in this research we explore the impact of teaching in a CSCL environment on student achievements, focusing on students from the computer science study program. Through data analysis using ANOVA and Bonferroni post-hoc tests, it was found that students exposed to collaborative learning in GeoGebra environment demonstrated higher levels of theoretical and practical knowledge compared to peers who acquired knowledge without using GeoGebra. Additionally, this group of students achieved results comparable to those of students who attended traditional in-person teaching, showing noticeable improvements in solving complex tasks. Our findings show the effectiveness of CSCL approach in context of distance learning and highlight potential of collaborative environments enhanced with technology in facilitating student understanding and achievements in calculus education.

In addition to learning technical aspects of website creation, students must connect different knowledge, think critically, seek more information, and approach their work from various perspectives. These requirements, or specified competencies, can be developed through providing and receiving peer feedback, which is confirmed as an efficient learning strategy in various empirical studies on different subjects. The aim of this research is to investigate the impact of peer feedback on students’ achievements in the Web Programming Course. We conducted a quantitative study with two groups of students. Students from the experimental group participated in online giving and receiving peer feedback regarding students’ assignments, while students from the control group did not have this opportunity. For evaluating students’ work, we used rubrics. The results indicate that students, through analyzing their peers’ work, providing qualitative assessments, reflecting on their work in line with received comments, and making necessary corrections, create content that surpasses the quality of websites created by their peers who did not have the opportunity to participate in peer feedback activities. Since students extensively analyzed their work after receiving comments and suggestions, made specific corrections, and consequently improved their projects, organizing peer feedback activities in programming courses, especially web programming, should be given more attention.

In this paper, we describe the influence of the implementation of methodology for teaching and learning multiple integrals based on the constructivist approach and the interconnectedness of multiple representations (with an emphasis on dynamic representations) for different mathematical objects using GeoGebra’s applications Graphing Calculator and 3D Calculator. The empirical research was conducted at the University of Kragujevac, Serbia, with two groups (the experimental and the control groups) of second-year students. During the learning process of the experimental group, students created digital materials to visualize the domain of the integration for the concrete tasks, to set the integration bounds, to recognize in which situation they needed to introduce the switch of variables, and all that to solve double or triple integral problems. Students in the control group, on the other hand, didn't use technology of any kind, including the programs Graphing Calculator and 3D Calculator. The findings of the empirical study showed that students' use of these tools to create digital materials improved their academic achievement and their practical and theoretical knowledge of multiple integrals.