Božić, Radoslav

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  • Božić, Radoslav (17)
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Author's Bibliography

Correlation Analysis of Students’ Success in Solving Analytic Geometry and Multiple Integral Problems

Milenković, Aleksandar; Božić, Radoslav; Takači, Đurđica

(Beograd : Društvo matematičara Srbije, 2023)

TY  - JOUR
AU  - Milenković, Aleksandar
AU  - Božić, Radoslav
AU  - Takači, Đurđica
PY  - 2023
UR  - https://redun.educons.edu.rs/handle/123456789/653
AB  - In this paper, we aim to contribute to the planning and implementation of education in higher mathematics education for students from non-mathematics study programs, specifically focusing on multivariable calculus, i.e., multiple integrals. Indeed, the outcomes of various empirical studies indicate that students from non-mathematical faculties struggle to grasp and comprehend multiple integrals and multivariable functions in general. The research presented in this paper aims to ascertain whether there is a significant correlation between students' achievements in multiple integrals and their achievements in applying knowledge and skills from analytical geometry (to define sets of points in the plane and space, determined by lines, curves, planes and surfaces). Additionally, the study investigates whether this correlation potentially varies based on the various instructional teaching approaches. The presented empirical research was conducted at the Faculty of Engineering, University of Kragujevac, with 72 second-year students, divided into two groups. The results indicate that the given linear correlation is statistically significant and positive. Moreover, the differences in correlation coefficients calculated for two groups of students who acquired knowledge in multiple integrals through different instructional approaches are not statistically significant. These findings underscore the need to devote substantial attention to the teaching of multiple integrals, especially in devising methods that enable students to visualize specific mathematical concepts in both plane and space. Additionally, a precise definition of integration domains, and an accurate specification of variable bounds, should be emphasized in the multiple integrals teaching and learning process.
PB  - Beograd : Društvo matematičara Srbije
T2  - The Teaching of Mathematics
T1  - Correlation Analysis of Students’ Success in Solving Analytic Geometry and Multiple Integral Problems
EP  - 105
IS  - 2
SP  - 88
VL  - 26
DO  - 10.57016/TM-VOSK9662
ER  - 
@article{
author = "Milenković, Aleksandar and Božić, Radoslav and Takači, Đurđica",
year = "2023",
abstract = "In this paper, we aim to contribute to the planning and implementation of education in higher mathematics education for students from non-mathematics study programs, specifically focusing on multivariable calculus, i.e., multiple integrals. Indeed, the outcomes of various empirical studies indicate that students from non-mathematical faculties struggle to grasp and comprehend multiple integrals and multivariable functions in general. The research presented in this paper aims to ascertain whether there is a significant correlation between students' achievements in multiple integrals and their achievements in applying knowledge and skills from analytical geometry (to define sets of points in the plane and space, determined by lines, curves, planes and surfaces). Additionally, the study investigates whether this correlation potentially varies based on the various instructional teaching approaches. The presented empirical research was conducted at the Faculty of Engineering, University of Kragujevac, with 72 second-year students, divided into two groups. The results indicate that the given linear correlation is statistically significant and positive. Moreover, the differences in correlation coefficients calculated for two groups of students who acquired knowledge in multiple integrals through different instructional approaches are not statistically significant. These findings underscore the need to devote substantial attention to the teaching of multiple integrals, especially in devising methods that enable students to visualize specific mathematical concepts in both plane and space. Additionally, a precise definition of integration domains, and an accurate specification of variable bounds, should be emphasized in the multiple integrals teaching and learning process.",
publisher = "Beograd : Društvo matematičara Srbije",
journal = "The Teaching of Mathematics",
title = "Correlation Analysis of Students’ Success in Solving Analytic Geometry and Multiple Integral Problems",
pages = "105-88",
number = "2",
volume = "26",
doi = "10.57016/TM-VOSK9662"
}
Milenković, A., Božić, R.,& Takači, Đ.. (2023). Correlation Analysis of Students’ Success in Solving Analytic Geometry and Multiple Integral Problems. in The Teaching of Mathematics
Beograd : Društvo matematičara Srbije., 26(2), 88-105.
https://doi.org/10.57016/TM-VOSK9662
Milenković A, Božić R, Takači Đ. Correlation Analysis of Students’ Success in Solving Analytic Geometry and Multiple Integral Problems. in The Teaching of Mathematics. 2023;26(2):88-105.
doi:10.57016/TM-VOSK9662 .
Milenković, Aleksandar, Božić, Radoslav, Takači, Đurđica, "Correlation Analysis of Students’ Success in Solving Analytic Geometry and Multiple Integral Problems" in The Teaching of Mathematics, 26, no. 2 (2023):88-105,
https://doi.org/10.57016/TM-VOSK9662 . .

Multiple Representations of Functions in the Frame of Distance Learning

Božić, Radoslav; Peics, Hajnalka; Milenković, Aleksandar

(Sofia : " Az-buki" National Publishing House, 2023)

TY  - JOUR
AU  - Božić, Radoslav
AU  - Peics, Hajnalka
AU  - Milenković, Aleksandar
PY  - 2023
UR  - https://redun.educons.edu.rs/handle/123456789/654
AB  - In this paper, the effectiveness of the use of multiple representations in teaching and learning functions is analyzed. The research was conducted in the frame of distance learning of calculus course at University of Novi Sad in 2021 (during COVID-19 crisis), in the dynamic software environment. The students’ work on the analysis the properties of functions, by using the multiple representations of functions, is presented, and analyzed. Results of the study implies that dynamic software environment during distance learning of mathematics, encourage solving tasks with using different approach by students and helps them to create their own sophisticated knowledge about the functions and their properties.
PB  - Sofia : " Az-buki" National Publishing House
T2  - Mathematics and Informatics
T1  - Multiple Representations of Functions in the Frame of Distance Learning
VL  - 66(4)
DO  - 10.53656/math2023-4-3-mul
ER  - 
@article{
author = "Božić, Radoslav and Peics, Hajnalka and Milenković, Aleksandar",
year = "2023",
abstract = "In this paper, the effectiveness of the use of multiple representations in teaching and learning functions is analyzed. The research was conducted in the frame of distance learning of calculus course at University of Novi Sad in 2021 (during COVID-19 crisis), in the dynamic software environment. The students’ work on the analysis the properties of functions, by using the multiple representations of functions, is presented, and analyzed. Results of the study implies that dynamic software environment during distance learning of mathematics, encourage solving tasks with using different approach by students and helps them to create their own sophisticated knowledge about the functions and their properties.",
publisher = "Sofia : " Az-buki" National Publishing House",
journal = "Mathematics and Informatics",
title = "Multiple Representations of Functions in the Frame of Distance Learning",
volume = "66(4)",
doi = "10.53656/math2023-4-3-mul"
}
Božić, R., Peics, H.,& Milenković, A.. (2023). Multiple Representations of Functions in the Frame of Distance Learning. in Mathematics and Informatics
Sofia : " Az-buki" National Publishing House., 66(4).
https://doi.org/10.53656/math2023-4-3-mul
Božić R, Peics H, Milenković A. Multiple Representations of Functions in the Frame of Distance Learning. in Mathematics and Informatics. 2023;66(4).
doi:10.53656/math2023-4-3-mul .
Božić, Radoslav, Peics, Hajnalka, Milenković, Aleksandar, "Multiple Representations of Functions in the Frame of Distance Learning" in Mathematics and Informatics, 66(4) (2023),
https://doi.org/10.53656/math2023-4-3-mul . .
1

Training pre-service teachers for using educational software in order to improve the quality of the mathematics teaching in primary education

Božić, Radoslav; Nikolić, Ivica; Petković, Violeta

(Mathematical Institute of the Serbian Academy of Sciences and Arts, 2023)

TY  - CONF
AU  - Božić, Radoslav
AU  - Nikolić, Ivica
AU  - Petković, Violeta
PY  - 2023
UR  - https://redun.educons.edu.rs/handle/123456789/524
AB  - The application of mathematics is present in different disciplines and that is one of the most 
important reasons for the significance of the mathematics education at all levels of education. 
However, the teachers face the numerous challenges in presenting elementary mathematical concepts and guiding the students through the learning process]. One of the most common challenges is presenting the geometric concepts, as well as introducing the students with the properties of the geometric objects. With the development of the mathematical 
software, new possibilities in visualization of the geometric contents have appeared. For the successful application of this software in teaching and learning mathematics, it is necessary for the teacher to be well trained in using this software.
PB  - Mathematical Institute of the Serbian Academy of Sciences and Arts
PB  - Niš : Complex Syste Research Centre
C3  - Proceedings of the 4th Virtual International Conference Path to a Knowledge Society - Managing Risks and Innovation, December 08-09, 2022, Niš
T1  - Training pre-service teachers for using educational software in order to improve the quality of the mathematics teaching in primary education
EP  - 522
SP  - 521
VL  - 4
ER  - 
@conference{
author = "Božić, Radoslav and Nikolić, Ivica and Petković, Violeta",
year = "2023",
abstract = "The application of mathematics is present in different disciplines and that is one of the most 
important reasons for the significance of the mathematics education at all levels of education. 
However, the teachers face the numerous challenges in presenting elementary mathematical concepts and guiding the students through the learning process]. One of the most common challenges is presenting the geometric concepts, as well as introducing the students with the properties of the geometric objects. With the development of the mathematical 
software, new possibilities in visualization of the geometric contents have appeared. For the successful application of this software in teaching and learning mathematics, it is necessary for the teacher to be well trained in using this software.",
publisher = "Mathematical Institute of the Serbian Academy of Sciences and Arts, Niš : Complex Syste Research Centre",
journal = "Proceedings of the 4th Virtual International Conference Path to a Knowledge Society - Managing Risks and Innovation, December 08-09, 2022, Niš",
title = "Training pre-service teachers for using educational software in order to improve the quality of the mathematics teaching in primary education",
pages = "522-521",
volume = "4"
}
Božić, R., Nikolić, I.,& Petković, V.. (2023). Training pre-service teachers for using educational software in order to improve the quality of the mathematics teaching in primary education. in Proceedings of the 4th Virtual International Conference Path to a Knowledge Society - Managing Risks and Innovation, December 08-09, 2022, Niš
Mathematical Institute of the Serbian Academy of Sciences and Arts., 4, 521-522.
Božić R, Nikolić I, Petković V. Training pre-service teachers for using educational software in order to improve the quality of the mathematics teaching in primary education. in Proceedings of the 4th Virtual International Conference Path to a Knowledge Society - Managing Risks and Innovation, December 08-09, 2022, Niš. 2023;4:521-522..
Božić, Radoslav, Nikolić, Ivica, Petković, Violeta, "Training pre-service teachers for using educational software in order to improve the quality of the mathematics teaching in primary education" in Proceedings of the 4th Virtual International Conference Path to a Knowledge Society - Managing Risks and Innovation, December 08-09, 2022, Niš, 4 (2023):521-522.

Impact of learning environments on students' achievements in calculus contents before and during the COVID-19 crises

Stevanović, Aleksandra; Božić, Radoslav; Štrboja, Mirjana

(Taylor & Francis Group, 2023)

TY  - JOUR
AU  - Stevanović, Aleksandra
AU  - Božić, Radoslav
AU  - Štrboja, Mirjana
PY  - 2023
UR  - https://redun.educons.edu.rs/handle/123456789/523
AB  - In this research, the students’ achievements in learning Calculus, before and during COVID-19 crisis, are analyzed and compared. Two groups of students, the experimental and the control one, were monitored. Both groups worked in three corresponding subgroups (traditional, hybrid and online) in the frame of different learning environment. The distance learning was applied with the students in the experimental group, in autumn 2020, during COVID-19 crisis, while the control group students learned in autumn 2019, before COVID-19 crisis. The new teaching material was prepared for the students in the experimental group. The comparison between these two groups and their subgroups is described in this paper. It turned out that the students from the experimental group, who used new teaching material for distance learning, had better results than the students in the control group.
PB  - Taylor & Francis Group
T2  - Interactive Learning Environments
T1  - Impact of learning environments on students' achievements in calculus contents before and during the COVID-19 crises
DO  - doi.org/10.1080/10494820.2023.2228828
ER  - 
@article{
author = "Stevanović, Aleksandra and Božić, Radoslav and Štrboja, Mirjana",
year = "2023",
abstract = "In this research, the students’ achievements in learning Calculus, before and during COVID-19 crisis, are analyzed and compared. Two groups of students, the experimental and the control one, were monitored. Both groups worked in three corresponding subgroups (traditional, hybrid and online) in the frame of different learning environment. The distance learning was applied with the students in the experimental group, in autumn 2020, during COVID-19 crisis, while the control group students learned in autumn 2019, before COVID-19 crisis. The new teaching material was prepared for the students in the experimental group. The comparison between these two groups and their subgroups is described in this paper. It turned out that the students from the experimental group, who used new teaching material for distance learning, had better results than the students in the control group.",
publisher = "Taylor & Francis Group",
journal = "Interactive Learning Environments",
title = "Impact of learning environments on students' achievements in calculus contents before and during the COVID-19 crises",
doi = "doi.org/10.1080/10494820.2023.2228828"
}
Stevanović, A., Božić, R.,& Štrboja, M.. (2023). Impact of learning environments on students' achievements in calculus contents before and during the COVID-19 crises. in Interactive Learning Environments
Taylor & Francis Group..
https://doi.org/doi.org/10.1080/10494820.2023.2228828
Stevanović A, Božić R, Štrboja M. Impact of learning environments on students' achievements in calculus contents before and during the COVID-19 crises. in Interactive Learning Environments. 2023;.
doi:doi.org/10.1080/10494820.2023.2228828 .
Stevanović, Aleksandra, Božić, Radoslav, Štrboja, Mirjana, "Impact of learning environments on students' achievements in calculus contents before and during the COVID-19 crises" in Interactive Learning Environments (2023),
https://doi.org/doi.org/10.1080/10494820.2023.2228828 . .

Influence of dynamic software environment on students' achievement of learning functions with parameters

Božić, Radoslav; Takači, Đurđica; Stankov, Gordana

(ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON, 2023)

TY  - JOUR
AU  - Božić, Radoslav
AU  - Takači, Đurđica
AU  - Stankov, Gordana
PY  - 2023
UR  - https://redun.educons.edu.rs/handle/123456789/476
AB  - The authors described the influence of the GeoGebra based environment on students' achievements in the field of functions with parameters, during collaborative learning. Functions with parameters are important because of their application in science. Students had to choose different values for parameters and to examine the properties of the obtained functions, by using multiple representations. GeoGebra package is selected for the experimental group because it is free dynamic software and it provides the multiple representations of functions simultaneously. The students of control group worked without the computer during their learning process. Tasks for the learning process and for the test were the same for both the groups. During the test, students solved tasks without the possibility of using computers.
PB  - ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON
T2  - Interactive Learning Environments
T1  - Influence of dynamic software environment on students' achievement of learning functions with parameters
DO  - 10.1080/10494820.2019.1602842
UR  - conv_985
ER  - 
@article{
author = "Božić, Radoslav and Takači, Đurđica and Stankov, Gordana",
year = "2023",
abstract = "The authors described the influence of the GeoGebra based environment on students' achievements in the field of functions with parameters, during collaborative learning. Functions with parameters are important because of their application in science. Students had to choose different values for parameters and to examine the properties of the obtained functions, by using multiple representations. GeoGebra package is selected for the experimental group because it is free dynamic software and it provides the multiple representations of functions simultaneously. The students of control group worked without the computer during their learning process. Tasks for the learning process and for the test were the same for both the groups. During the test, students solved tasks without the possibility of using computers.",
publisher = "ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON",
journal = "Interactive Learning Environments",
title = "Influence of dynamic software environment on students' achievement of learning functions with parameters",
doi = "10.1080/10494820.2019.1602842",
url = "conv_985"
}
Božić, R., Takači, Đ.,& Stankov, G.. (2023). Influence of dynamic software environment on students' achievement of learning functions with parameters. in Interactive Learning Environments
ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON..
https://doi.org/10.1080/10494820.2019.1602842
conv_985
Božić R, Takači Đ, Stankov G. Influence of dynamic software environment on students' achievement of learning functions with parameters. in Interactive Learning Environments. 2023;.
doi:10.1080/10494820.2019.1602842
conv_985 .
Božić, Radoslav, Takači, Đurđica, Stankov, Gordana, "Influence of dynamic software environment on students' achievement of learning functions with parameters" in Interactive Learning Environments (2023),
https://doi.org/10.1080/10494820.2019.1602842 .,
conv_985 .
9
1
6

Efficiency of blended learning of calculus content during the Covid19 crisis

Mitrović, Slađana; Božić, Radoslav; Takači, Đurđica

(ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON, 2023)

TY  - JOUR
AU  - Mitrović, Slađana
AU  - Božić, Radoslav
AU  - Takači, Đurđica
PY  - 2023
UR  - https://redun.educons.edu.rs/handle/123456789/482
AB  - In this paper, we present the analysis of the students' achievements in learning calculus in a dynamic software environment during the Covid19 crisis. Two groups of students, the experimental and the control one, were monitored. Blended learning was applied to the students in the experimental group, with the help of Microsoft Teams and dynamic software GeoGebra, in autumn 2020. All students in the control group learned in the classroom without using GeoGebra in 2019. The comparison between these two groups of first-year students, regarding their calculus test results, is described in this paper. It is interesting that the results of the experimental group were significantly better than the results of students in the control group, despite the fact that the students from the experimental group learned during the Covid19 crisis.
PB  - ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON
T2  - Interactive Learning Environments
T1  - Efficiency of blended learning of calculus content during the Covid19 crisis
DO  - 10.1080/10494820.2022.2076129
UR  - conv_1123
ER  - 
@article{
author = "Mitrović, Slađana and Božić, Radoslav and Takači, Đurđica",
year = "2023",
abstract = "In this paper, we present the analysis of the students' achievements in learning calculus in a dynamic software environment during the Covid19 crisis. Two groups of students, the experimental and the control one, were monitored. Blended learning was applied to the students in the experimental group, with the help of Microsoft Teams and dynamic software GeoGebra, in autumn 2020. All students in the control group learned in the classroom without using GeoGebra in 2019. The comparison between these two groups of first-year students, regarding their calculus test results, is described in this paper. It is interesting that the results of the experimental group were significantly better than the results of students in the control group, despite the fact that the students from the experimental group learned during the Covid19 crisis.",
publisher = "ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON",
journal = "Interactive Learning Environments",
title = "Efficiency of blended learning of calculus content during the Covid19 crisis",
doi = "10.1080/10494820.2022.2076129",
url = "conv_1123"
}
Mitrović, S., Božić, R.,& Takači, Đ.. (2023). Efficiency of blended learning of calculus content during the Covid19 crisis. in Interactive Learning Environments
ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON..
https://doi.org/10.1080/10494820.2022.2076129
conv_1123
Mitrović S, Božić R, Takači Đ. Efficiency of blended learning of calculus content during the Covid19 crisis. in Interactive Learning Environments. 2023;.
doi:10.1080/10494820.2022.2076129
conv_1123 .
Mitrović, Slađana, Božić, Radoslav, Takači, Đurđica, "Efficiency of blended learning of calculus content during the Covid19 crisis" in Interactive Learning Environments (2023),
https://doi.org/10.1080/10494820.2022.2076129 .,
conv_1123 .
2
2

The influence of collaborative learning on students' achievement in examining functions with parameters in dynamic software environment

Božić, Radoslav; Takači, Đurđica; Grujin, Milan

(AZ-BUKA NATL PUBLISHING HOUSE, SOFIA, 2022)

TY  - JOUR
AU  - Božić, Radoslav
AU  - Takači, Đurđica
AU  - Grujin, Milan
PY  - 2022
UR  - https://redun.educons.edu.rs/handle/123456789/460
AB  - In this paper. the influence of collaborative learning of functions, algebraically represented as functions with parameters, in GeoGebra environment is analyzed. The research presented in this paper is the continuation of the research in Bozic and Takaci (2021), conducted at the University of Novi Sad, Serbia, with two groups of students, the experimental and the control one. The students in the experimental group learned in small, four member groups and the students in the control group learned individually. The students from both the groups learned in GeoGebra environment. The students' learning achievements in examining properties of functions with parameters is analyzed and compared. It is proved that it is better when the students work in collaborative groups than when they learn individually.
PB  - AZ-BUKA NATL PUBLISHING HOUSE, SOFIA
T2  - Mathematics and Informatics
T1  - The influence of collaborative learning on students' achievement in examining functions with parameters in dynamic software environment
EP  - 18
IS  - 1
SP  - 7
VL  - 65
DO  - 10.53656/math2022-1-1-the
UR  - conv_1119
ER  - 
@article{
author = "Božić, Radoslav and Takači, Đurđica and Grujin, Milan",
year = "2022",
abstract = "In this paper. the influence of collaborative learning of functions, algebraically represented as functions with parameters, in GeoGebra environment is analyzed. The research presented in this paper is the continuation of the research in Bozic and Takaci (2021), conducted at the University of Novi Sad, Serbia, with two groups of students, the experimental and the control one. The students in the experimental group learned in small, four member groups and the students in the control group learned individually. The students from both the groups learned in GeoGebra environment. The students' learning achievements in examining properties of functions with parameters is analyzed and compared. It is proved that it is better when the students work in collaborative groups than when they learn individually.",
publisher = "AZ-BUKA NATL PUBLISHING HOUSE, SOFIA",
journal = "Mathematics and Informatics",
title = "The influence of collaborative learning on students' achievement in examining functions with parameters in dynamic software environment",
pages = "18-7",
number = "1",
volume = "65",
doi = "10.53656/math2022-1-1-the",
url = "conv_1119"
}
Božić, R., Takači, Đ.,& Grujin, M.. (2022). The influence of collaborative learning on students' achievement in examining functions with parameters in dynamic software environment. in Mathematics and Informatics
AZ-BUKA NATL PUBLISHING HOUSE, SOFIA., 65(1), 7-18.
https://doi.org/10.53656/math2022-1-1-the
conv_1119
Božić R, Takači Đ, Grujin M. The influence of collaborative learning on students' achievement in examining functions with parameters in dynamic software environment. in Mathematics and Informatics. 2022;65(1):7-18.
doi:10.53656/math2022-1-1-the
conv_1119 .
Božić, Radoslav, Takači, Đurđica, Grujin, Milan, "The influence of collaborative learning on students' achievement in examining functions with parameters in dynamic software environment" in Mathematics and Informatics, 65, no. 1 (2022):7-18,
https://doi.org/10.53656/math2022-1-1-the .,
conv_1119 .

On the influence of software application for visualization in teaching double integrals

Milenković, Aleksandar; Takači, Đurđica; Božić, Radoslav

(ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON, 2022)

TY  - JOUR
AU  - Milenković, Aleksandar
AU  - Takači, Đurđica
AU  - Božić, Radoslav
PY  - 2022
UR  - https://redun.educons.edu.rs/handle/123456789/475
AB  - 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.
PB  - ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON
T2  - Interactive Learning Environments
T1  - On the influence of software application for visualization in teaching double integrals
EP  - 1306
IS  - 7
SP  - 1291
VL  - 30
DO  - 10.1080/10494820.2020.1719164
UR  - conv_1025
ER  - 
@article{
author = "Milenković, Aleksandar and Takači, Đurđica and Božić, Radoslav",
year = "2022",
abstract = "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.",
publisher = "ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON",
journal = "Interactive Learning Environments",
title = "On the influence of software application for visualization in teaching double integrals",
pages = "1306-1291",
number = "7",
volume = "30",
doi = "10.1080/10494820.2020.1719164",
url = "conv_1025"
}
Milenković, A., Takači, Đ.,& Božić, R.. (2022). On the influence of software application for visualization in teaching double integrals. in Interactive Learning Environments
ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD, ABINGDON., 30(7), 1291-1306.
https://doi.org/10.1080/10494820.2020.1719164
conv_1025
Milenković A, Takači Đ, Božić R. On the influence of software application for visualization in teaching double integrals. in Interactive Learning Environments. 2022;30(7):1291-1306.
doi:10.1080/10494820.2020.1719164
conv_1025 .
Milenković, Aleksandar, Takači, Đurđica, Božić, Radoslav, "On the influence of software application for visualization in teaching double integrals" in Interactive Learning Environments, 30, no. 7 (2022):1291-1306,
https://doi.org/10.1080/10494820.2020.1719164 .,
conv_1025 .
5
4

Higher education students' experiences and opinion about distance learning during the Covid-19 pandemic

Stevanović, Aleksandra; Božić, Radoslav; Radović, Slavisa

(WILEY, HOBOKEN, 2021)

TY  - JOUR
AU  - Stevanović, Aleksandra
AU  - Božić, Radoslav
AU  - Radović, Slavisa
PY  - 2021
UR  - https://redun.educons.edu.rs/handle/123456789/433
AB  - Background The Covid-19 pandemic has created significant challenges for the global higher education community. Understanding of students' perception has important implications for the quality of the learning process, as it affects students' engagement in learning, helps educators rethink the principles of the learning design and further improve the developed programs. Objectives Understanding of how rapid and necessary changes of learning caused by the pandemic are related to students' intrinsic motivation and awareness. Methods There were 832 participants in this study. Quantitative and qualitative research methods employing relevant statistical techniques were used to research students' opinions regarding the distance learning process. Results and Conclusions Our analysis showed that first-year students were significantly less motivated during the learning process than older students, they saw distance learning as less valuable and less interesting than the others. Our research found several positive consequences of the pandemic: working according to students' own schedule in a relaxed environment, looking at the lecture again if necessary, feeling free to ask questions and communicate with teachers and saving travel time. Implications Teachers should have more understanding for the first-year students who are threatened when it comes to developing motivation to learn and help them cope with learning anxieties, encourage their self-belief and give them extra support during the learning process.
PB  - WILEY, HOBOKEN
T2  - Journal of Computer Assisted Learning
T1  - Higher education students' experiences and opinion about distance learning during the Covid-19 pandemic
EP  - 1693
IS  - 6
SP  - 1682
VL  - 37
DO  - 10.1111/jcal.12613
UR  - conv_1092
ER  - 
@article{
author = "Stevanović, Aleksandra and Božić, Radoslav and Radović, Slavisa",
year = "2021",
abstract = "Background The Covid-19 pandemic has created significant challenges for the global higher education community. Understanding of students' perception has important implications for the quality of the learning process, as it affects students' engagement in learning, helps educators rethink the principles of the learning design and further improve the developed programs. Objectives Understanding of how rapid and necessary changes of learning caused by the pandemic are related to students' intrinsic motivation and awareness. Methods There were 832 participants in this study. Quantitative and qualitative research methods employing relevant statistical techniques were used to research students' opinions regarding the distance learning process. Results and Conclusions Our analysis showed that first-year students were significantly less motivated during the learning process than older students, they saw distance learning as less valuable and less interesting than the others. Our research found several positive consequences of the pandemic: working according to students' own schedule in a relaxed environment, looking at the lecture again if necessary, feeling free to ask questions and communicate with teachers and saving travel time. Implications Teachers should have more understanding for the first-year students who are threatened when it comes to developing motivation to learn and help them cope with learning anxieties, encourage their self-belief and give them extra support during the learning process.",
publisher = "WILEY, HOBOKEN",
journal = "Journal of Computer Assisted Learning",
title = "Higher education students' experiences and opinion about distance learning during the Covid-19 pandemic",
pages = "1693-1682",
number = "6",
volume = "37",
doi = "10.1111/jcal.12613",
url = "conv_1092"
}
Stevanović, A., Božić, R.,& Radović, S.. (2021). Higher education students' experiences and opinion about distance learning during the Covid-19 pandemic. in Journal of Computer Assisted Learning
WILEY, HOBOKEN., 37(6), 1682-1693.
https://doi.org/10.1111/jcal.12613
conv_1092
Stevanović A, Božić R, Radović S. Higher education students' experiences and opinion about distance learning during the Covid-19 pandemic. in Journal of Computer Assisted Learning. 2021;37(6):1682-1693.
doi:10.1111/jcal.12613
conv_1092 .
Stevanović, Aleksandra, Božić, Radoslav, Radović, Slavisa, "Higher education students' experiences and opinion about distance learning during the Covid-19 pandemic" in Journal of Computer Assisted Learning, 37, no. 6 (2021):1682-1693,
https://doi.org/10.1111/jcal.12613 .,
conv_1092 .
4
61
1
57

The benefits of collaborative learning in examining functions with parameters in dynamic software environment

Božić, Radoslav; Takači, Đurđica

(AZ-BUKA NATL PUBLISHING HOUSE, SOFIA, 2021)

TY  - JOUR
AU  - Božić, Radoslav
AU  - Takači, Đurđica
PY  - 2021
UR  - https://redun.educons.edu.rs/handle/123456789/432
AB  - In this paper the efficiency of collaborative learning of functions, of the functions with parameters, in GeoGebra environment is analyzed. The research was conducted during the calculus course at the University of Novi Sad, Serbia, with the students with two groups of students, major physics and chemistry. The students in the experimental group learned in small, four member groups, formed by using Kagan's (1994) principles, and the students in the control group learned individually. The students from both groups learned in GeoGebra environment. Their work is compared and analyzed.
PB  - AZ-BUKA NATL PUBLISHING HOUSE, SOFIA
T2  - Mathematics and Informatics
T1  - The benefits of collaborative learning in examining functions with parameters in dynamic software environment
EP  - 475
IS  - 5
SP  - 463
VL  - 64
DO  - 10.53656/math2021-5-1-the
UR  - conv_1094
ER  - 
@article{
author = "Božić, Radoslav and Takači, Đurđica",
year = "2021",
abstract = "In this paper the efficiency of collaborative learning of functions, of the functions with parameters, in GeoGebra environment is analyzed. The research was conducted during the calculus course at the University of Novi Sad, Serbia, with the students with two groups of students, major physics and chemistry. The students in the experimental group learned in small, four member groups, formed by using Kagan's (1994) principles, and the students in the control group learned individually. The students from both groups learned in GeoGebra environment. Their work is compared and analyzed.",
publisher = "AZ-BUKA NATL PUBLISHING HOUSE, SOFIA",
journal = "Mathematics and Informatics",
title = "The benefits of collaborative learning in examining functions with parameters in dynamic software environment",
pages = "475-463",
number = "5",
volume = "64",
doi = "10.53656/math2021-5-1-the",
url = "conv_1094"
}
Božić, R.,& Takači, Đ.. (2021). The benefits of collaborative learning in examining functions with parameters in dynamic software environment. in Mathematics and Informatics
AZ-BUKA NATL PUBLISHING HOUSE, SOFIA., 64(5), 463-475.
https://doi.org/10.53656/math2021-5-1-the
conv_1094
Božić R, Takači Đ. The benefits of collaborative learning in examining functions with parameters in dynamic software environment. in Mathematics and Informatics. 2021;64(5):463-475.
doi:10.53656/math2021-5-1-the
conv_1094 .
Božić, Radoslav, Takači, Đurđica, "The benefits of collaborative learning in examining functions with parameters in dynamic software environment" in Mathematics and Informatics, 64, no. 5 (2021):463-475,
https://doi.org/10.53656/math2021-5-1-the .,
conv_1094 .

Primena Geogebre u nastavi matematike

Božić, Radoslav; Dedeić, Jovana; Milićević, Srđan; Kovačević, Ilija

(Novi Sad : Fakultet tehničkih nauka, 2020)

TY  - CONF
AU  - Božić, Radoslav
AU  - Dedeić, Jovana
AU  - Milićević, Srđan
AU  - Kovačević, Ilija
PY  - 2020
UR  - https://redun.educons.edu.rs/handle/123456789/659
AB  - U radu su prikazani rezultati istraživanja koje se bazira na primeni savremenih tehnologija u 
nastavi matematike na univerzitetskom nivou. Istraživanje se zasnivalo na kombinovanju različitih nastavnih metoda, 
sa ciljem unapređenja kvaliteta znanja studenata u oblasti realnih funkcija i njihovih osobina. Metoda kolaborativnog rada u nastavi i njena primena bila je i ostala tema brojnih istraživanja, kao i implementacija savremene tehnologije u nastavni proces. Konkretno, opisane su nastavne metode koje se zasnivaju na primeni dinamičkog softvera GeoGebra u ispitivanju osobina funkcija, odnosno klasa funkcija, kombinovane sa metodama individualnog rada studenata.
AB  - This paper presents the results of a research based on the application of modern technologies in 
mathematics teaching at the university level. The research was based on combining different teaching methods, with the aim of improving the quality of students' knowledge in the field of real functions and their properties. Collaborative teaching methods and their application have been the topic of numerous studies, as the implementation of modern technology in the teaching process. In particular, in the paper, we described teaching methods based on the application of GeoGebra dynamic software in examining feature properties, combined with individual students‘ work methods.
PB  - Novi Sad : Fakultet tehničkih nauka
C3  - Zbornik radova sa 26 skupa Trendovi razvoja: Inovacije u modernom obrazovanju, 16-19.02.2020, Kopaonik, Srbija
T1  - Primena Geogebre u nastavi  matematike
EP  - 286
SP  - 282
ER  - 
@conference{
author = "Božić, Radoslav and Dedeić, Jovana and Milićević, Srđan and Kovačević, Ilija",
year = "2020",
abstract = "U radu su prikazani rezultati istraživanja koje se bazira na primeni savremenih tehnologija u 
nastavi matematike na univerzitetskom nivou. Istraživanje se zasnivalo na kombinovanju različitih nastavnih metoda, 
sa ciljem unapređenja kvaliteta znanja studenata u oblasti realnih funkcija i njihovih osobina. Metoda kolaborativnog rada u nastavi i njena primena bila je i ostala tema brojnih istraživanja, kao i implementacija savremene tehnologije u nastavni proces. Konkretno, opisane su nastavne metode koje se zasnivaju na primeni dinamičkog softvera GeoGebra u ispitivanju osobina funkcija, odnosno klasa funkcija, kombinovane sa metodama individualnog rada studenata., This paper presents the results of a research based on the application of modern technologies in 
mathematics teaching at the university level. The research was based on combining different teaching methods, with the aim of improving the quality of students' knowledge in the field of real functions and their properties. Collaborative teaching methods and their application have been the topic of numerous studies, as the implementation of modern technology in the teaching process. In particular, in the paper, we described teaching methods based on the application of GeoGebra dynamic software in examining feature properties, combined with individual students‘ work methods.",
publisher = "Novi Sad : Fakultet tehničkih nauka",
journal = "Zbornik radova sa 26 skupa Trendovi razvoja: Inovacije u modernom obrazovanju, 16-19.02.2020, Kopaonik, Srbija",
title = "Primena Geogebre u nastavi  matematike",
pages = "286-282"
}
Božić, R., Dedeić, J., Milićević, S.,& Kovačević, I.. (2020). Primena Geogebre u nastavi  matematike. in Zbornik radova sa 26 skupa Trendovi razvoja: Inovacije u modernom obrazovanju, 16-19.02.2020, Kopaonik, Srbija
Novi Sad : Fakultet tehničkih nauka., 282-286.
Božić R, Dedeić J, Milićević S, Kovačević I. Primena Geogebre u nastavi  matematike. in Zbornik radova sa 26 skupa Trendovi razvoja: Inovacije u modernom obrazovanju, 16-19.02.2020, Kopaonik, Srbija. 2020;:282-286..
Božić, Radoslav, Dedeić, Jovana, Milićević, Srđan, Kovačević, Ilija, "Primena Geogebre u nastavi  matematike" in Zbornik radova sa 26 skupa Trendovi razvoja: Inovacije u modernom obrazovanju, 16-19.02.2020, Kopaonik, Srbija (2020):282-286.

The application of modern technology in teaching and learning stereometry

Božić, Radoslav

(Belgrade : Mathematical Society of Serbia, 2019)

TY  - CONF
AU  - Božić, Radoslav
PY  - 2019
UR  - https://redun.educons.edu.rs/handle/123456789/658
AB  - The paper analyzes the possibilities of applying a three-dimensional view of geometric objects within the dynamic software GeoGebra, during the teaching and learning stereometry. The research included students in the final (eighth) grade of elementary school. The GeoGebra software was applied in introducing students in the formation and the elements of a right circular cylinder. The method of collaborative learning was applied. The students worked in small groups and they had the possibility to independently create dynamic worksheets, by using GeoGebra software, which they used for observing a three-dimensional view of solid figures (cylinder and prism), analyzing and comparing their elementary properties. After finishing group work, the students presented their results, after which they had the opportunity to discuss their observations. The results of students' work were analyzed. Guidelines for further research as well as for the implementation of the described approach in teaching are given.
PB  - Belgrade : Mathematical Society of Serbia
C3  - Proceedings from the Scientific Conference "Research in Mathematics Education", Belgrade, Serbia, May 10-11, 2019
T1  - The application of modern technology in teaching and learning stereometry
EP  - 111
SP  - 102
ER  - 
@conference{
author = "Božić, Radoslav",
year = "2019",
abstract = "The paper analyzes the possibilities of applying a three-dimensional view of geometric objects within the dynamic software GeoGebra, during the teaching and learning stereometry. The research included students in the final (eighth) grade of elementary school. The GeoGebra software was applied in introducing students in the formation and the elements of a right circular cylinder. The method of collaborative learning was applied. The students worked in small groups and they had the possibility to independently create dynamic worksheets, by using GeoGebra software, which they used for observing a three-dimensional view of solid figures (cylinder and prism), analyzing and comparing their elementary properties. After finishing group work, the students presented their results, after which they had the opportunity to discuss their observations. The results of students' work were analyzed. Guidelines for further research as well as for the implementation of the described approach in teaching are given.",
publisher = "Belgrade : Mathematical Society of Serbia",
journal = "Proceedings from the Scientific Conference "Research in Mathematics Education", Belgrade, Serbia, May 10-11, 2019",
title = "The application of modern technology in teaching and learning stereometry",
pages = "111-102"
}
Božić, R.. (2019). The application of modern technology in teaching and learning stereometry. in Proceedings from the Scientific Conference "Research in Mathematics Education", Belgrade, Serbia, May 10-11, 2019
Belgrade : Mathematical Society of Serbia., 102-111.
Božić R. The application of modern technology in teaching and learning stereometry. in Proceedings from the Scientific Conference "Research in Mathematics Education", Belgrade, Serbia, May 10-11, 2019. 2019;:102-111..
Božić, Radoslav, "The application of modern technology in teaching and learning stereometry" in Proceedings from the Scientific Conference "Research in Mathematics Education", Belgrade, Serbia, May 10-11, 2019 (2019):102-111.

The Possibilities of Developing Algebraic Thinking in the Middle School Upper Grades

Božić, Radoslav; Jovanova, Biljana; Hasić, Amor; Romano, Daniel A.

(Banja Luka : IMVI Scientific society of Mathematicians Banja Luka, 2019)

TY  - JOUR
AU  - Božić, Radoslav
AU  - Jovanova, Biljana
AU  - Hasić, Amor
AU  - Romano, Daniel A.
PY  - 2019
UR  - https://redun.educons.edu.rs/handle/123456789/657
AB  - Some elements of algebra are a focal point in mathematics education in upper middle school
grades. Many researchers in mathematics education promote an idea that algebraic reasoning should be stronger integrated in mentioned grade levels. This article focuses on algebraic contents in mathematics curricula of upper grades in middle school in Bosnia and Herzegovina, Croatia, Macedonia, Montenegro, Serbia and Turkey in the order to estimate what elements of algebraic thinking they enabled by these curricula. By comparing mathematics teaching programs in these sociopolitical communities for 7th and 8th in middle school grades, the authors analyze the components of algebraic thinking that are provided by so designed curricula.
PB  - Banja Luka : IMVI Scientific society of Mathematicians Banja Luka
PB  - Potsdam : School of Education and Professional Studies, State University of New York
T2  - IMVJ Open Mathematical Education Notes
T1  - The Possibilities of Developing Algebraic Thinking in the Middle School Upper Grades
EP  - 68
IS  - 1
SP  - 55
VL  - 9
DO  - 10.7251/OMEN1901055B
ER  - 
@article{
author = "Božić, Radoslav and Jovanova, Biljana and Hasić, Amor and Romano, Daniel A.",
year = "2019",
abstract = "Some elements of algebra are a focal point in mathematics education in upper middle school
grades. Many researchers in mathematics education promote an idea that algebraic reasoning should be stronger integrated in mentioned grade levels. This article focuses on algebraic contents in mathematics curricula of upper grades in middle school in Bosnia and Herzegovina, Croatia, Macedonia, Montenegro, Serbia and Turkey in the order to estimate what elements of algebraic thinking they enabled by these curricula. By comparing mathematics teaching programs in these sociopolitical communities for 7th and 8th in middle school grades, the authors analyze the components of algebraic thinking that are provided by so designed curricula.",
publisher = "Banja Luka : IMVI Scientific society of Mathematicians Banja Luka, Potsdam : School of Education and Professional Studies, State University of New York",
journal = "IMVJ Open Mathematical Education Notes",
title = "The Possibilities of Developing Algebraic Thinking in the Middle School Upper Grades",
pages = "68-55",
number = "1",
volume = "9",
doi = "10.7251/OMEN1901055B"
}
Božić, R., Jovanova, B., Hasić, A.,& Romano, D. A.. (2019). The Possibilities of Developing Algebraic Thinking in the Middle School Upper Grades. in IMVJ Open Mathematical Education Notes
Banja Luka : IMVI Scientific society of Mathematicians Banja Luka., 9(1), 55-68.
https://doi.org/10.7251/OMEN1901055B
Božić R, Jovanova B, Hasić A, Romano DA. The Possibilities of Developing Algebraic Thinking in the Middle School Upper Grades. in IMVJ Open Mathematical Education Notes. 2019;9(1):55-68.
doi:10.7251/OMEN1901055B .
Božić, Radoslav, Jovanova, Biljana, Hasić, Amor, Romano, Daniel A., "The Possibilities of Developing Algebraic Thinking in the Middle School Upper Grades" in IMVJ Open Mathematical Education Notes, 9, no. 1 (2019):55-68,
https://doi.org/10.7251/OMEN1901055B . .

Metodička obrada funkcija sa parametrima uz pomoć računara

Božić, Radoslav

(Univerzitet u Novom Sadu, Prirodno-matematički fakultet, 2019)

TY  - THES
AU  - Božić, Radoslav
PY  - 2019
UR  - https://nardus.mpn.gov.rs/handle/123456789/11380
UR  - https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija156146115152456.pdf?controlNumber=(BISIS)1
UR  - https://www.cris.uns.ac.rs/record.jsf?recordId=110812&source=NaRDuS&language=sr
UR  - https://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije15614611960179.pdf?controlNumber=(BIS
UR  - https://redun.educons.edu.rs/handle/123456789/18
AB  - U  doktorskoj  disertaciji  je  elaborirano  istraživanje  koje  se  odnosi  na  primenu savremenih tehnologija u nastavi matematike na univerzitetskom nivou. Istraživanje se zasniva  na  kombinovanju  različitih  nastavnih  metoda,  sa  ciljem  unapređenja  kvaliteta znanja  studenata  u  oblasti  realnih  funkcija  i  njihovih  osobina.  Brojna  ranija istraživanja  bavila  su  se  primenom  metode  kolaborativnog  rada  u  nastavi,  kao  i implementacijom  savremene  tehnologije  u  nastavni  proces.  U  doktorskoj  disertaciji opisane  su  nastavne  metode  koje  se  zasnivaju  na  primeni  dinamičkog  softvera  u ispitivanju  osobina  funkcija,  odnosno  klasa  (familija)  funkcija,  kombinovane  sa metodama kolaborativnog, odnosno individualnog rada studenata. Korišćenjem pogodnog dinamičkog  softvera,  izrađeni  su  edukativni  materijali  koji  se  mogu  koristiti  u nastavi.  Sprovedena  su  pojedinačna  istraživanja,  koja  su  imala  za  cilj  utvrđivanje stepena uticaja primene novog metodskog pristupa na postignuća  studenata u posmatranoj oblasti. Rezultati svakog od istraživanja su statistički analizirani. Data su zaključna razmatranja,  koja  sadrže  diskusiju  o  rezultatima  sprovedenih  istraživanja,  kao  i smernice  za  implementaciju  novog  metodskog  pristupa  u  nastavni  proces  i  eventualna dalja istraživanja.
AB  - In  the  doctoral thesis,  a  research  on  the  application  of  modern  technologies  in  teaching mathematics at the university level is elaborated. The research is based on the combination of different teaching methods, with the aim of improving the quality of  students' knowledge of real functions and their properties. Numerous previous research was carried out using the method of collaborative teaching work in teaching,  as well as the implementation of modern technology in the  teaching  process.  In  the  doctoral thesis,  teaching  methods  are  described  based  on  the application of dynamic software in the examination of the properties of functions, i.e. classes (families) of functions, combined with methods of collaborative, or individual work of students.By  using  suitable  dynamic  software, educational  materials  that  can  be  used  in  teaching  are created. Individual research was conducted, aimed at determining the degree of impact of the application  of  a  new didactic approach  on  students'  achievements  in  the  observed  field. The results of each study were statistically analyzed. Final conclusions are provided, which contain a discussion of the results of the conducted research, as well as guidelines for the implementation of the new didactic approach in the teaching process and possible further research.
PB  - Univerzitet u Novom Sadu, Prirodno-matematički fakultet
T1  - Metodička obrada funkcija sa parametrima uz pomoć računara
T1  - Methodical approach to teaching functions with parameters with the help of computer
UR  - https://hdl.handle.net/21.15107/rcub_nardus_11380
UR  - t-6098
ER  - 
@phdthesis{
author = "Božić, Radoslav",
year = "2019",
abstract = "U  doktorskoj  disertaciji  je  elaborirano  istraživanje  koje  se  odnosi  na  primenu savremenih tehnologija u nastavi matematike na univerzitetskom nivou. Istraživanje se zasniva  na  kombinovanju  različitih  nastavnih  metoda,  sa  ciljem  unapređenja  kvaliteta znanja  studenata  u  oblasti  realnih  funkcija  i  njihovih  osobina.  Brojna  ranija istraživanja  bavila  su  se  primenom  metode  kolaborativnog  rada  u  nastavi,  kao  i implementacijom  savremene  tehnologije  u  nastavni  proces.  U  doktorskoj  disertaciji opisane  su  nastavne  metode  koje  se  zasnivaju  na  primeni  dinamičkog  softvera  u ispitivanju  osobina  funkcija,  odnosno  klasa  (familija)  funkcija,  kombinovane  sa metodama kolaborativnog, odnosno individualnog rada studenata. Korišćenjem pogodnog dinamičkog  softvera,  izrađeni  su  edukativni  materijali  koji  se  mogu  koristiti  u nastavi.  Sprovedena  su  pojedinačna  istraživanja,  koja  su  imala  za  cilj  utvrđivanje stepena uticaja primene novog metodskog pristupa na postignuća  studenata u posmatranoj oblasti. Rezultati svakog od istraživanja su statistički analizirani. Data su zaključna razmatranja,  koja  sadrže  diskusiju  o  rezultatima  sprovedenih  istraživanja,  kao  i smernice  za  implementaciju  novog  metodskog  pristupa  u  nastavni  proces  i  eventualna dalja istraživanja., In  the  doctoral thesis,  a  research  on  the  application  of  modern  technologies  in  teaching mathematics at the university level is elaborated. The research is based on the combination of different teaching methods, with the aim of improving the quality of  students' knowledge of real functions and their properties. Numerous previous research was carried out using the method of collaborative teaching work in teaching,  as well as the implementation of modern technology in the  teaching  process.  In  the  doctoral thesis,  teaching  methods  are  described  based  on  the application of dynamic software in the examination of the properties of functions, i.e. classes (families) of functions, combined with methods of collaborative, or individual work of students.By  using  suitable  dynamic  software, educational  materials  that  can  be  used  in  teaching  are created. Individual research was conducted, aimed at determining the degree of impact of the application  of  a  new didactic approach  on  students'  achievements  in  the  observed  field. The results of each study were statistically analyzed. Final conclusions are provided, which contain a discussion of the results of the conducted research, as well as guidelines for the implementation of the new didactic approach in the teaching process and possible further research.",
publisher = "Univerzitet u Novom Sadu, Prirodno-matematički fakultet",
title = "Metodička obrada funkcija sa parametrima uz pomoć računara, Methodical approach to teaching functions with parameters with the help of computer",
url = "https://hdl.handle.net/21.15107/rcub_nardus_11380, t-6098"
}
Božić, R.. (2019). Metodička obrada funkcija sa parametrima uz pomoć računara. 
Univerzitet u Novom Sadu, Prirodno-matematički fakultet..
https://hdl.handle.net/21.15107/rcub_nardus_11380
Božić R. Metodička obrada funkcija sa parametrima uz pomoć računara. 2019;.
https://hdl.handle.net/21.15107/rcub_nardus_11380 .
Božić, Radoslav, "Metodička obrada funkcija sa parametrima uz pomoć računara" (2019),
https://hdl.handle.net/21.15107/rcub_nardus_11380 .

Geometrics Objects in the Final Grade of Middle Schools in B&H, Croatia, Macedonia, Montenegro, Serbia, and Turkey and Students' Progress of Geometrical Thinking which their Mathematical Curricula Enable

Božić, Radoslav; Hasić, Amor; Jovanova, Biljana; Romano, Daniel A.

(Banja Luka : IMVI Scientific society of Mathematicians Banja Luka, 2018)

TY  - JOUR
AU  - Božić, Radoslav
AU  - Hasić, Amor
AU  - Jovanova, Biljana
AU  - Romano, Daniel A.
PY  - 2018
UR  - https://redun.educons.edu.rs/handle/123456789/656
AB  - The powerful development of geometric thinking among the students of the final grade of Middle
School enables them to progress better through mathematical contents in the upcoming High School. In order to gain insight into possible levels of development of students’ geometric skills, we have examined the mathematics curricula of the final grades of Middle Schools in B&H, Croatia, Macedonia, Montenegro, Serbia and Turkey. Our intention was to gain insight into geometric contents planned in these teaching programs of the aforementioned socio-political communities. As a connecting thread of our observations, we offer the following conclusions regarding the previous research. All observed models have a significant common part that relates to the teaching and learning of geometric solids. In the case where this part of the curricula would be complemented by geometric transformations, it would then be possible to estimate that these curricula open the possibility of a full development of robust abilities among pupils. The authors think that although the quality of mathematics teachers’ work has a significant impact on the formation of geometric proficiencies and abilities of pupils in schools, the influence of policy makers of mathematics education and mathematical curricula designers is more significant. The authors are also very close to the suggestion that each of these societies should form a permanent team of experts for monitoring applications and further development of mathematical curricula.
PB  - Banja Luka : IMVI Scientific society of Mathematicians Banja Luka
PB  - Potsdam : School of Education and Professional Studies, State University of New York
T2  - IMVJ Open Mathematical Education Notes
T1  - Geometrics Objects in the Final Grade of Middle Schools in B&H, Croatia, Macedonia, Montenegro, Serbia, and Turkey and Students' Progress of Geometrical Thinking which their Mathematical Curricula Enable
IS  - 21
SP  - 47
VL  - 8
VL  - 59
DO  - 10.7251/OMEN1802047B
ER  - 
@article{
author = "Božić, Radoslav and Hasić, Amor and Jovanova, Biljana and Romano, Daniel A.",
year = "2018",
abstract = "The powerful development of geometric thinking among the students of the final grade of Middle
School enables them to progress better through mathematical contents in the upcoming High School. In order to gain insight into possible levels of development of students’ geometric skills, we have examined the mathematics curricula of the final grades of Middle Schools in B&H, Croatia, Macedonia, Montenegro, Serbia and Turkey. Our intention was to gain insight into geometric contents planned in these teaching programs of the aforementioned socio-political communities. As a connecting thread of our observations, we offer the following conclusions regarding the previous research. All observed models have a significant common part that relates to the teaching and learning of geometric solids. In the case where this part of the curricula would be complemented by geometric transformations, it would then be possible to estimate that these curricula open the possibility of a full development of robust abilities among pupils. The authors think that although the quality of mathematics teachers’ work has a significant impact on the formation of geometric proficiencies and abilities of pupils in schools, the influence of policy makers of mathematics education and mathematical curricula designers is more significant. The authors are also very close to the suggestion that each of these societies should form a permanent team of experts for monitoring applications and further development of mathematical curricula.",
publisher = "Banja Luka : IMVI Scientific society of Mathematicians Banja Luka, Potsdam : School of Education and Professional Studies, State University of New York",
journal = "IMVJ Open Mathematical Education Notes",
title = "Geometrics Objects in the Final Grade of Middle Schools in B&H, Croatia, Macedonia, Montenegro, Serbia, and Turkey and Students' Progress of Geometrical Thinking which their Mathematical Curricula Enable",
number = "21",
pages = "47",
volume = "8, 59",
doi = "10.7251/OMEN1802047B"
}
Božić, R., Hasić, A., Jovanova, B.,& Romano, D. A.. (2018). Geometrics Objects in the Final Grade of Middle Schools in B&H, Croatia, Macedonia, Montenegro, Serbia, and Turkey and Students' Progress of Geometrical Thinking which their Mathematical Curricula Enable. in IMVJ Open Mathematical Education Notes
Banja Luka : IMVI Scientific society of Mathematicians Banja Luka., 8(21), 47.
https://doi.org/10.7251/OMEN1802047B
Božić R, Hasić A, Jovanova B, Romano DA. Geometrics Objects in the Final Grade of Middle Schools in B&H, Croatia, Macedonia, Montenegro, Serbia, and Turkey and Students' Progress of Geometrical Thinking which their Mathematical Curricula Enable. in IMVJ Open Mathematical Education Notes. 2018;8(21):47.
doi:10.7251/OMEN1802047B .
Božić, Radoslav, Hasić, Amor, Jovanova, Biljana, Romano, Daniel A., "Geometrics Objects in the Final Grade of Middle Schools in B&H, Croatia, Macedonia, Montenegro, Serbia, and Turkey and Students' Progress of Geometrical Thinking which their Mathematical Curricula Enable" in IMVJ Open Mathematical Education Notes, 8, no. 21 (2018):47,
https://doi.org/10.7251/OMEN1802047B . .

Models of the Mathematical Curriculum for the VI Middle School Grade Developed in B&H, Croatia, Montenegro and Serbia

Božić, Radoslav; Hasić, Amor; Romano, Daniel A.

(Ames : ISRES Publishing, 2018)

TY  - CHAP
AU  - Božić, Radoslav
AU  - Hasić, Amor
AU  - Romano, Daniel A.
PY  - 2018
UR  - https://redun.educons.edu.rs/handle/123456789/652
AB  - The term ‘Mathematics Curriculum’ refers to the lessons and academic content taught in a school in a specific grade. In dictionaries, curriculum is often defined as the courses offered by a school, but it is rarely used in such a general sense in schools. Depending on how broadly educators define or employ the term, curriculum typically refers to the knowledge and skills students are expected to learn, which proficiencies educated student will develop (Kilpatrick, Swafford and Findell, 2001). It includes the learning standards or learning objectives they are expected to meet (Bloom, 1956; Krathwohl, Bloom and Masia, 1964). In addition, it conclude the units and lessons that teachers teach; the assignments and projects given to students; the books, materials, videos,
presentations, and readings used in a course; and the tests, assessments, and other methods used to evaluate student learning. Since a mathematics curriculum of any Middle school grade is one of the foundational elements of effective schooling and mathematics teaching, it is often the object of reforms, most of which are broadly intended to either mandate or encourage greater curricular standardization and consistency across states, schools, grade levels, included subject areas, and so on...
PB  - Ames : ISRES Publishing
T2  - Education Research Highlights in Mathematics, Science and Technology
T1  - Models of the Mathematical Curriculum for the VI Middle School Grade Developed in B&H, Croatia, Montenegro and Serbia
EP  - 29
SP  - 21
ER  - 
@inbook{
author = "Božić, Radoslav and Hasić, Amor and Romano, Daniel A.",
year = "2018",
abstract = "The term ‘Mathematics Curriculum’ refers to the lessons and academic content taught in a school in a specific grade. In dictionaries, curriculum is often defined as the courses offered by a school, but it is rarely used in such a general sense in schools. Depending on how broadly educators define or employ the term, curriculum typically refers to the knowledge and skills students are expected to learn, which proficiencies educated student will develop (Kilpatrick, Swafford and Findell, 2001). It includes the learning standards or learning objectives they are expected to meet (Bloom, 1956; Krathwohl, Bloom and Masia, 1964). In addition, it conclude the units and lessons that teachers teach; the assignments and projects given to students; the books, materials, videos,
presentations, and readings used in a course; and the tests, assessments, and other methods used to evaluate student learning. Since a mathematics curriculum of any Middle school grade is one of the foundational elements of effective schooling and mathematics teaching, it is often the object of reforms, most of which are broadly intended to either mandate or encourage greater curricular standardization and consistency across states, schools, grade levels, included subject areas, and so on...",
publisher = "Ames : ISRES Publishing",
journal = "Education Research Highlights in Mathematics, Science and Technology",
booktitle = "Models of the Mathematical Curriculum for the VI Middle School Grade Developed in B&H, Croatia, Montenegro and Serbia",
pages = "29-21"
}
Božić, R., Hasić, A.,& Romano, D. A.. (2018). Models of the Mathematical Curriculum for the VI Middle School Grade Developed in B&H, Croatia, Montenegro and Serbia. in Education Research Highlights in Mathematics, Science and Technology
Ames : ISRES Publishing., 21-29.
Božić R, Hasić A, Romano DA. Models of the Mathematical Curriculum for the VI Middle School Grade Developed in B&H, Croatia, Montenegro and Serbia. in Education Research Highlights in Mathematics, Science and Technology. 2018;:21-29..
Božić, Radoslav, Hasić, Amor, Romano, Daniel A., "Models of the Mathematical Curriculum for the VI Middle School Grade Developed in B&H, Croatia, Montenegro and Serbia" in Education Research Highlights in Mathematics, Science and Technology (2018):21-29.

On Comparative Analysis of Mathematical Education of Serbia, Croatia and Finland

Božić, Radoslav

(MDPI, 2015)

TY  - CONF
AU  - Božić, Radoslav
PY  - 2015
UR  - https://redun.educons.edu.rs/handle/123456789/655
AB  - The topic of this paper is comparative analysis of mathematical education in compulsory educational systems of Serbia, Croatia and Finland. Educational systems of Serbia and Croatia are very similar, due to the fact that these two countries were part of the same country. After disintegration of Yugoslavia, Serbia and Croatia have commenced their transition processes and comprehensive reforms. They also have commenced reforms of their educational systems. This paper analyses how far are these countries reached in the reform of the selected segment of compulsory education, did some differences created between the observed countries and gives description and explication of these differences. In addition to support, comparison also covers the situation in Finnish education system, which is taken as an example of a successful system. Finnish education system is, according to numerous studies, one of the best in Europe and also, according to PISA tests results, performance from the Finnish students were always among the best.
PB  - MDPI
C3  - ISIS Summit Vienna 2015 - the Information Society at the Crossroads, Conference Track: As we may teach, June 2015
T1  - On Comparative Analysis of Mathematical Education of Serbia, Croatia and Finland
DO  - 10.3390/isis-summit-vienna-2015-T1.1006
ER  - 
@conference{
author = "Božić, Radoslav",
year = "2015",
abstract = "The topic of this paper is comparative analysis of mathematical education in compulsory educational systems of Serbia, Croatia and Finland. Educational systems of Serbia and Croatia are very similar, due to the fact that these two countries were part of the same country. After disintegration of Yugoslavia, Serbia and Croatia have commenced their transition processes and comprehensive reforms. They also have commenced reforms of their educational systems. This paper analyses how far are these countries reached in the reform of the selected segment of compulsory education, did some differences created between the observed countries and gives description and explication of these differences. In addition to support, comparison also covers the situation in Finnish education system, which is taken as an example of a successful system. Finnish education system is, according to numerous studies, one of the best in Europe and also, according to PISA tests results, performance from the Finnish students were always among the best.",
publisher = "MDPI",
journal = "ISIS Summit Vienna 2015 - the Information Society at the Crossroads, Conference Track: As we may teach, June 2015",
title = "On Comparative Analysis of Mathematical Education of Serbia, Croatia and Finland",
doi = "10.3390/isis-summit-vienna-2015-T1.1006"
}
Božić, R.. (2015). On Comparative Analysis of Mathematical Education of Serbia, Croatia and Finland. in ISIS Summit Vienna 2015 - the Information Society at the Crossroads, Conference Track: As we may teach, June 2015
MDPI..
https://doi.org/10.3390/isis-summit-vienna-2015-T1.1006
Božić R. On Comparative Analysis of Mathematical Education of Serbia, Croatia and Finland. in ISIS Summit Vienna 2015 - the Information Society at the Crossroads, Conference Track: As we may teach, June 2015. 2015;.
doi:10.3390/isis-summit-vienna-2015-T1.1006 .
Božić, Radoslav, "On Comparative Analysis of Mathematical Education of Serbia, Croatia and Finland" in ISIS Summit Vienna 2015 - the Information Society at the Crossroads, Conference Track: As we may teach, June 2015 (2015),
https://doi.org/10.3390/isis-summit-vienna-2015-T1.1006 . .