Research Interests

• Professional development of mathematics teachers
• Digital game based learning
• Curriculum resources and task design

Degrees

• PhD in Mathematics, Department of Mathematics, University of Zagreb , 2011.
• BSc in Mathematics and Computer Science, Department of Mathematics, University of Osijek, Croatia, 2005.

Publications

1. Lj. Jukić Matić, J. Sliško, Empirical Study of Mathematical Creativity and Students' Opinions on Multiple Solution Tasks, International Journal of Mathematical Education in Science and Technology 55/9 (2024), 2170-2190
   Abstract

   Creativity and problem solving are considered to be 21st century competencies, therefore promoting mathematical creativity should be an important part of school mathematics. The study presented in this paper is inspired by the notion of mathematical creativity and the utilisation of multiple solution tasks (MSTs) to investigate students’ creativity. Multiple solution tasks are mathematical tasks with an explicit requirement to be solved with different methods. For the purpose of the study, we used a common textbook question which allows multiple solution pathways as our research instrument. This MST was administered to first-year mathematics students along with additional questions related to their experience in school mathematics. The results of the study showed that students had difficulties complying with the demands of the task, but generally have positive disposition toward MSTs. Moreover, the results underline the necessity of incorporating MSTs in mathematics classroom teaching to create a more coherent corpus of mathematical knowledge. The study also provides an example of how a regular textbook task can be used as an MST.
2. Lj. Jukić Matić, D. Moslavac Bičvić, Matematička kreativnost: Pregled metoda za poticanje i vrednovanje kreativnosti, Metodički ogledi 59/1 (2024), 121-147
   Abstract

   U 21. stoljeću kreativnost se, uz kritičko mišljenje, suradnju i komunikaciju, prepoznaje kao ključna vještina za pripremu učenika za buduće poslove i nepredvidive društvene izazove. Nije dovoljno samo poticati kreativnost u obrazovanju, već ju je važno i procjenjivati jer procjena kreativnosti pomaže u identifikaciji i razumijevanju kreativnih sposobnosti učenika. U ovom radu usmjerili smo se na matematičku kreativnost, povezujući ju s općim definicijama kreativnosti. Detaljno istražujemo i analiziramo metode koje potiču matematičku kreativnost i omogućuju njezino procjenjivanje, ističući inovacije koje proizlaze iz primjene tih metoda. Metode koje razmatramo usmjerene su na pristupe postavljanja i rješavanja problema, uključujući zadatke otvorenoga tipa. Rezultati pokazuju da te metode ne samo da potiču matematičku kreativnost učenika, već doprinose povezanijem matematičkom znanju i poboljšavaju sposobnosti rješavanja problema.
3. Lj. Jukić Matić, Navigating the seas of the curriculum: A mathematics teacher’s interactions with curriculum materials, European journal of science and mathematics education 12/4 (2024), 468-488
   Abstract

   Curriculum materials are not a fixed object; they are an active partner in a teacher’s practice. Teachers and curriculum materials interact in a participatory relationship where both the characteristics of the teacher and the characteristics of the curriculum material affect the instruction. Teachers interpret and tailor these materials to create particular instructional strategies, therefore, teachers can be considered as lesson designers. The study presented in this paper uses longitudinal case study design to investigate the relationship between a mathematics teacher and curriculum materials over a period of nine years. Using the lens of curricular noticing, the study examined what the teacher attends to, interprets and responds to while planning a lesson. Data collection occurred at four distinct time points, encompassing both teacher observations during lesson planning and interviews after lesson planning, as well as the teacher’s lesson plans for the same topic at each time point. The obtained longitudinal data provided comprehensive insights into how the teacher’s curricular noticing changed over time and how it affected the teacher’s practice. The findings show that the teacher attended the national curriculum and textbook at all four time points, indicating the stability of these particular resources; however, the interpretation of the textbook elements and response to this interpretation changed significantly. The teacher’s practice became more student-centered and inquiry-oriented. The implications of the study are also discussed.
4. B. Bognar, Lj. Jukić Matić, Professional Development Interventions for Mathematics Teachers: A Systematic Review, Mathematics Teaching-Research Journal 15/16 (2024), 39-58
   Abstract

   In many countries around the world, stakeholders engaged in driving education reform policy use teacher professional development to improve the quality of teacher learning, expecting a positive effect on the quality of teaching. Given the high level of expectations for professional development, it is crucial to identify the characteristics of effective teacher professional development. Therefore, we conducted a systematic literature review of professional development interventions for mathematics teachers. We sought to identify the characteristics of interventions with positive and statistically significant effects on students’ mathematics achievement. Our review includes 12 professional development interventions which included elements of structured pedagogy intervention (i.e., teacher training, on-site teacher support, and resources for teachers and students), in addition to initial professional development and follow-up workshops. Utilizing technology has proved to be beneficial for student learning, but less so for teacher learning. The results of the reviewed studies indicate that changes in instruction can be implemented incrementally, beginning with less complex interventions and progressing to those that are more complex and demanding. Furthermore, we conclude that professional development interventions that seek to improve student learning outcomes in mathematics should include on-site teacher support, mentoring and feedback, teacher-focused resources, and classroom learning materials
5. Lj. Jukić Matić, D. Marković, Unlocking Engagement: A Case Study on Digital Games in Mathematics Instruction, Investigations in Mathematics Learning 16 (2024)
   Abstract

   The use of digital games in mathematics education has sparked widespread interest because games have the potential to increase student engagement and make learning mathematics more appealing. Teachers frequently struggle with classroom management issues and are concerned that students will prioritize entertainment over authentic mathematical learning. This paper presents a study that employs a case study design to investigate how teacher incorporated digital game into mathematics lessons and the challenges that arise. Furthermore, the study looks into how students learn through digital games. Data were collected using lesson observations and audio recordings. The Theory of Didactical Situations (TDS) was used as a framework to analyze the actions of both the teacher and the students during the lesson. The findings indicate that TDS is effective in providing mathematics teachers with guidelines for structuring digital game-based learning. Furthermore, the findings revealed that the difficulties that students faced during gameplay did not have negative connotations but rather resulted in productive struggles. The students showed persistence by not giving up and eventually completing the required levels.
6. Lj. Jukić Matić, S. Mužar Horvat, B. Bognar, Usporedba Montessori i singapurskog modela početne nastave matematike, Nova prisutnost 22/1 (2024), 203-216
   Abstract

   U radu se uspoređuju model Montessori i singapurski model početne nastave matematike. Kao elementi usporedbe uzeta su teorijska polazišta, nastavne me- tode, nastavni materijali, matematički zadatci, uloga učitelja i rezultati istra- živanja. Singapurski je model usmjeren na poučavanje učenika koje je dosljedno, pragmatično i prilagođeno matematičkim ciljevima te rješavanju problemskih zadataka, dok u modelu Montessori prevladava samostalna aktivnost i igra uz korištenje specifičnih didaktičkih materijala. Oba modela pomažu učenicima u učenju matematičkih sadržaja na smislen, privlačan, zabavan i interaktivan način, a odlikuju ih bolji obrazovni rezultati učenika u nastavi matematike u odnosu na tradicionalan pristup. Zajedničke sastavnice ovih modela nastave matematike su poštivanje učenikove individualnosti, promjene uloge učenika i učitelja u učenju i poučavanju, korištenje odgovarajućih didaktičkih materijala u procesu učenja. S obzirom na uočene prednosti oba modela imaju svoje mjesto u početnoj nastavi matematike.
7. Lj. Jukić Matić, J. Sliško, An investigation into the approach of mathematics undergraduates to a non-routine task, Research in mathematics education (2023), prihvaćen za objavljivanje
   Abstract

   Critical thinking and problem solving are widely recognized as valuable competencies in the 21st century, and are regarded as indispensable skills in the workplace. In this context, we investigate the strategies employed by first-year university mathematics students when faced with a non-routine task, specifically the impossible triangle. The data collection process involved the administration of a questionnaire (70 questionnaire responses) and conducting interviews (six interviews). The study used the lens of framing to examine the interplay between the task cue and students' responses, and the Ref*AER framework was utilized to interpret the knowledge of the participants. A considerable number of students approached the task using an algorithmic mathematical frame. This implies that the students have acquired the tendency to employ formulas or rules without verifying the conditions or constraints. With reference to the Ref*AER framework, it was observed that the participants' inadequate conceptions were a hindrance to the successful completion of the task assigned to them. We believe that the implementation of tasks like the impossible triangle in the mathematics classroom can effectively foster students' noticing and uncover deficiencies in their knowledge structures.
8. Lj. Jukić Matić, M. Karavakou, M. Grizioti , Is digital game-based learning possible in mathematics classrooms?: A study of teachers' beliefs, International Journal of Game-Based Learning 13/1 (2023), 1-18
   Abstract

   The literature reports that while digital educational games are used in the elementary classroom, they are rarely, if ever, used in the upper secondary mathematics classroom. In order to investigate this situation, a survey was conducted to determine what upper secondary school mathematics teachers think about digital games and what obstacles and limitations they perceive in using DGBL as a teaching approach. The results indicate that mathematics teachers view digital games as a useful teaching tool; however, the lack of knowledge about teaching with digital games and shortage of appropriate games for teaching upper secondary mathematics seems to discourage them from using them as a main teaching tool. These findings imply that professional development should be designed with a focus on teacher training. Furthermore, the development of constructionist-based games should be considered, where games are based on meaning-making rather than practicing mathematical content, as has previously been the case.
9. Lj. Jukić Matić, S. Palha, Predisposition of In-Service Teachers to Use Game-Based Pedagogy , The Electronic Journal of e-Learning 21/4 (2023), 286-298
   Abstract

   Digital game-based learning (DGBL) can be regarded as a promising teaching pedagogy to prepare students for challenges of the 21st century. However, the incorporation of digital games into K-12 curricula remains limited. Research suggests that a comprehensive understanding of barriers and motivational factors that teachers face when implementing DGBL is needed to ensure that teachers can receive the support required. To delineate suggestions for tailored curricula on game-based pedagogy in teacher education programs, we conducted a study to gain insight in-service teachers’ perception of DGBL in relation to their previous experience in teaching with DGBL. To achieve our goal, we examined the factors that impede and promote the implementation of DGBL among in-service teachers who are presently pursuing master's level education programs, having in mind that this group of teachers is different from pre-service teachers. Data was collected using an online survey with open- and closed-ended questions. The sample consisted of in-service teachers (n=38) who were enrolled in a master’s course in math education. The data analysis conducted was of a qualitative nature. One significant finding derived from this study is that the level of pedagogical experience in utilizing games as a teaching tool appears to be a crucial factor in assessing the inclination of in-service teachers towards game-based pedagogy. Pedagogical factors were mentioned by teachers at all stages of experience with DGBL, and differences were observed between teachers at different stages. For instance, in-service teachers with experience with DGBL (intermediate and advanced stages) were concerned about being able to maintain focus on the math concepts, the need to adapt the game lesson to students, and the ways to evaluate student learning while teachers were essentially concerned about ways to control the classroom during DGBL and whether the pupils would receive adequate practice in this learning mode. Differences were also noted for other factors between students at different stages. Advanced stage teachers did have concerns about game appropriateness for the intended learning; teachers with less experience were concerned about the lack of games (technical factors). Dealing with an existing curriculum and high workload were common aspects for teachers with no or some experience but only teachers with some experience mentioned obstacles related to school organization (structural factors). Teachers with few and some experience referred to the lack of knowledge and competence (personal factors) and that pupils would not take the lessons with games seriously (social factors). This research supports DGBL- practice (i) by adding new knowledge on the factors that can support or constrain the integration of DGBL and its implications for the development of curricula on game-based pedagogy; (ii) by providing suggestions to design and implement meaningful curricula on digital game-based pedagogy for teaching education and training programs.
10. Lj. Jukić Matić, G. Kehler-Poljak, S. Rukavina, The Influence of Curriculum on the Concept of Function: An Empirical Study of Pre-Service Teachers, European journal of science and mathematics education 10/3 (2022), 380-395
    Abstract

    This article reports on the understanding of the function concept by pre-service mathematics teachers from two countries (Germany and Croatia). We focused on investigating students’ concept definition and concept image of the function in relation to their curriculum experiences. Data were collected using a questionnaire in the form of open-ended questions followed by interviews. The results indicate that the curriculum has a great influence on the development of the concept definition and concept image. The curriculum strongly influenced the theoretical background of the function concept and thus the gap between the formal and the personal definition of function. Later and more intensive work with the formal definition of function led to a better development of the function concept in general. The curriculum also had an influence on the range of the concept image developed by the pre-service mathematics teachers, with no proportional dependence in relation to the better developed understanding of the concept of function.
11. Lj. Jukić Matić, Croatian Mathematics Teachers and Remote Education During Covid-19: What did They Learn?, Center for Educational Policy Studies Journal 11 (2021), 361-382
    Abstract

    The study reported in this paper aims to show how Croatian lower-secondary mathematics teachers coped with remote education during the lockdown necessitated by the Covid-19 pandemic. The research design refers to the case study of six teachers. On five occasions, the teachers were interviewed about the organisation of their virtual classrooms, forms of assessment, and utilisation of (digital) teaching resources from the beginning of March until the end of June 2020. The study results showed that social parameters were prominent factors in the decision-making of many teachers regarding teaching remotely. For example, the teachers always put students’ needs first: they were accessible almost all day to their students, they tried not to overload students and provided daily feedback on their work. In addition, the teachers in the study raised the issue of academic dishonesty in remote education – the digital environment made cheating easier and meant that the usual assessment formats became unfeasible. Although the findings provide insight into the work of teachers during a pandemic, a larger sample would provide generalisations about the changes in workload that mathematics teachers experienced during remote education.
12. Lj. Jukić Matić, D. Glasnović Gracin, How do teacher guides give support to mathematics teachers? Analysis of a teacher guide and exploration of its use in teachers’ practice, Research in mathematics education 23/1 (2021), 1-20
    Abstract

    The materials and artefacts used by teachers and students for learning mathematics have always had an important role in mathematics education. Key among such materials are textbooks and teacher guides. The study presented in this paper attempts to investigate the interaction between mathematics teachers and the teacher guide as well as its influence on textbook use in the classroom. The qualitative approach involved a case study with two mathematics teachers from Croatia. The results showed that the participants used different types of textbook and teacher guide mobilization in a dynamic way. The analysis of the teacher guide showed that it contains little educative support, but the results obtained from the observations and interviews suggest that the teacher guide had an educative impact on teachers, supporting their use of active teaching methods in their classroom practice.
13. A. Glavaš, Lj. Jukić Matić, S. Prša, Upper-secondary teachers' perceptions of the Matura exam in mathematics, Metodički ogledi 28/1 (2021), 217-242
    Abstract

    This paper reports a study on mathematics teachers' perceptions of the Matura mathematics exam in Croatia. The study focuses on the suitability of mathematics school textbooks for students' preparation for the exams, the complexity of the tasks in the exams, the grading and scoring of the exams, and teachers’ level of satisfaction with student achievement. The study used a convenience sampling method. It was conducted through a questionnaire administered to 308 upper secondary mathematics teachers. The findings showed that teachers do not perceive school textbooks as suitable resources to prepare for the higher level exam. Furthermore, the teachers believe that the test length is not appropriate i.e., the time given to students for the higher level exam is insufficient. On average they are satisfied with their students’ results, but are undecided about the criteria and scoring of the Matura. Vocational school teachers showed more dissatisfaction with the requirements and outcomes of the Matura exam compared to grammar school teachers. The results of this empirical study can be taken as a good starting point for re-assessing the requirements of the Matura exam in mathematics.
14. Lj. Jukić Matić, D. Glasnović Gracin, Use of textbooks and other resources in curriculum reform. A longitudinal case study, ZDM – Mathematics Education (2021), 1373-1385
    Abstract

    Curriculum reform brings new approaches to classroom practice. As changes to the curriculum are implemented, teachers need to receive additional support from textbooks and other materials. In the study presented in this paper, we explored the use of resources during the process of educational reform in Croatia. The focus was on the use of a mathematics textbook set as the main resource, but the use of other material and non-material resources was also examined. The study also dealt with the social factors that influenced the use of these resources. It was designed as a case study of one mathematics teacher and her students, examined at three time points, before the reform, in the preparation period, and subsequent to the implementation of the reform. The results showed that the textbook set is a stable resource over the time periods, although it did undergo some changes towards digitalization. The teacher’s professional development was shown to be an important non-material resource during the period of change. The research also revealed that the participants’ decisions concerning the use of resources depended on some social issues, such as norms concerned with being a teacher or a student. The study showed that longitudinal monitoring of the use of resources in the period of curricular change may contribute to a better understanding of the processes of instructional transformation and development.
15. Lj. Jukić Matić, D. Moslavac Bičvić, M. Filipov, Characteristics of effective teaching of mathematics, Didactica Slovenica - Pedagoška Obzorja 35/3-4 (2020), 19-37
    Abstract

    When referring to effective mathematics teaching, the terms good teaching and quality teaching are often used. There is no universal definition of what constitutes good or effective teaching of mathematics, and views on these concepts are largely dependent on the educational traditions and values in different countries, as well as on the beliefs of mathematics teachers. The notion of effective teaching is important because it significantly influences educational policies and teaching design decisions. The aim of this paper is to problematize the issue of effective mathematics teaching, to determine the features of effective mathematics teaching and how teachers perceive effective mathematics teaching. The way a mathematics teacher teaches is an indication of what he or she considers to be most important. Teachers are critical determinants of students’ learning and educational progress, so they must be trained to deliver quality and effective lessons. Mathematics teaching is effective when it promotes students’ performance as best as possible. Nevertheless, cultural norms influence the way effective features are implemented.
16. Lj. Jukić Matić, D. Glasnović Gracin, Mathematics textbook in the hands of the lower secondary students: how, when and why they use it. /Matematički udžbenik u rukama učenika viših razreda osnovne škole: kako, kada i zašto ga koriste., Croatian Journal of Education 22/1 (2020), 9-40
    Abstract

    Textbooks play a very important role in education; their content and practice exercises may have an influence on the students' opportunities to learn. Although many studies have focused on the teachers' use of textbooks, studies on students' textbook use are sparse. The aim of the study presented in this paper is to examine how, when, and why students utilize textbooks for learning mathematics. The data was obtained by combining quantitative and qualitative methods (triangulation of questionnaire results, interviews, and students' diaries). To that purpose, the model of a socio-didactical tetrahedron was used, where the dynamic relationship among textbook, mathematics, teacher and student was observed. The results show that students regularly use the textbook for practice exercises and homework. The social component of textbook use points to: (1) teacher as a mediator between the textbook and students; (2) the important role of the textbook in terms of help at home given by parents or siblings if the student did not understand the subject matter in school. Therefore, the utilization of the textbook is a complex and dynamic process which includes various parameters and participants, not just teachers and students
17. Lj. Jukić Matić, Pedagogical design capacity of lower-secondary mathematics teacher and her interaction with curriculum resources, Revista de Investigación en Didáctica de las Matemáticas 8/1 (2019), 53-75
    Abstract

    Various curriculum resources emerged in the last decades, but the textbook still remains the most used teaching and learning resource in mathematics classrooms. In this paper, we use a case study to analyze teaching practice of one math teacher. The aim of the study is to examine how math teacher interacts with the textbook and teacher guide, especially when teacher offloads on those resources, adapts them or improvises in the classroom. The study was conducted using lessons observations and semi-structured interviews. The results showed that teacher does not favour particular type of resource mobilization. Her interaction with resources can be characterized as a dynamic interplay, where type of resource mobilization exchange between the lessons and within a lesson as well. Moreover, teacher’s mobilization of textbook and teacher guide depends on teacher’s goals and assessment of the most pedagogically beneficial instruction for students.
18. Lj. Jukić Matić, The Teacher as a Lesson Designer, Center for Educational Policy Studies Journal 9/2 (2019), 136-160
    Abstract

    Teachers’ pedagogical design capacity is their ability to perceive and mobilise existing resources to create productive instructional episodes in the classroom. To a certain extent, this ability is dependent on the curricular resource used. As the textbook remains the most commonly used curricular resource in mathematics classrooms, the study reported in this paper investigates how and why one experienced mathematics teacher utilises the textbook. Data were gathered using lesson observations, as well as pre-lesson and post-lesson interviews. The teacher used offloading on the textbook, adapting the textbook content and improvising in the lessons to varying degrees, being aware of the affordances and constraints that the textbook has for her teaching practice. That approach to the textbook enabled the teacher to create various opportunities that enhance learning. The results of the study indicate that the mathematics teacher’s awareness of what a particular resource offers for teaching practice, and what constraints could be encountered on this journey are significant in terms of the teacher’s design capacity.
19. Lj. Jukić Matić, The Effect of Problem Solving Course on Pre-Service Teachers’ Beliefs about Problem Solving in School Mathematics and Themselves as Problem Solvers, Magistra Iadertina 12 (2017), 141-159
    Abstract

    Problem solving in schools begins with mathematics teachers. The degree to which mathematics teachers are prepared to teach for, about and through problem solving influences on their implementation of problem solving in school. We conducted a small scale study where we examined the effect of implementation of heuristic strategies and Polya’s steps in mathematics method course. We assessed pre-service teachers’ knowledge and attitudes about them as problem solvers before and after the course. Moreover we assessed their beliefs of problem solving in school mathematics. Those beliefs were assessed in two occasions: right after the course and after finished teaching practice. Although students’ knowledge on problem solving was improved, the results of students’ beliefs show that it is important that pre-service teachers, and consequently in-service teachers, are constantly reminded on the positive effect of constructivist and inquiry-based approach on teaching mathematics.
20. D. Glasnović Gracin, Lj. Jukić Matić, The Role of Mathematics Textbooks in Lower Secondary Education in Croatia: An Empirical Study, The Mathematics Educator (Singapore) 16/2 (2016), 29-56
    Abstract

    This paper reports a study on the use of mathematics textbooks as curriculum resources in lower secondary education in Croatia. The focus of the study is placed on how and why the textbook is used during the teaching of new content and the practicing phase in classrooms. The aim of the study was also to investigate the influence of a textbook on the teaching instructions. The study was conducted using classroom observations supplemented with interviews with mathematics teachers from observed classrooms. The findings showed that the textbook played a central role in teachers' lesson preparation, as well as in the selection of worked examples and practice exercises for the students. They turned out to be also very important as a source for homework. The interviews revealed an influence of a social dimension on the utilization of mathematics textbooks in the classroom.
21. Lj. Jukić Matić, D. Glasnović Gracin, The use of the textbook as an artefact in the classroom: A case study in the light of a socio-didactical tetrahedron, Journal für Mathematik-Didaktik 37/2 (2016), 349-374
    Abstract

    Mathematics textbooks have long been used as an educational tool for teaching and learning. They play an important role in various didactical situations both within and outside the classroom. After the previous large-scale quantitative research on the use of mathematics textbooks in lower secondary education in Croatia, a new study with a qualitative approach was conducted. The new study encompasses classroom observations and an in-depth interview with one mathematics teacher. The results of this study are explained using the socio-didactical tetrahedron and are compared with previous survey results on the extent to which mathematics textbooks are used in Croatian classrooms. The findings of this study indicate that the textbook has a significant role in mathematics lessons in which the aims of the teacher and the textbook are aligned. The study also offers some explanation as to why teachers rely on the textbook for preparation, teaching and practicing. Here the extension of the didactical tetrahedron to a socio-didactical tetrahedron proved to be very valuable due to the social factors involved in textbook use which cannot be neglected.
22. Lj. Jukić Matić, Non-mathematics Students’ Reasoning in Calculus Tasks, International Journal of Research in Education and Science 1/1 (2015), 51-63
    Abstract

    This paper investigates the reasoning of first year non-mathematics students in non-routine calculus tasks. The students in this study were accustomed to imitative reasoning from their primary and secondary education. In order to move from imitative reasoning toward more creative reasoning, non-routine tasks were implemented as an explicit part of the students’ calculus course. We examined the reasoning of six students in the middle of the calculus course and at the end of the course. The analyzed data showed that the students’ reasoning differed in the middle of the course and after having passed the course, in terms of having more characteristics of creative reasoning. In addition, we found several negative met-befores and met-afters affecting the students’ knowledge and interfering with their reasoning
23. Lj. Jukić Matić, Mathematical Knowledge of Non-mathematics Students and Their Beliefs About Mathematics, Mathematics Education (a.k.a International Electronic Journal of Mathematics Education) 9/1 (2014), 13-23
    Abstract

    Mathematics is tightly interwoven with science and engineering, where it has numerous applications. In the educational context, there is an ongoing debate who should teach mathematics to non- mathematicians and how this mathematics should be taught. The knowledge gained in mathematics course is used in another course (mathematics, science or engineering), hence students should retain core concepts some time after learning. Beliefs that students have about mathematics significantly influence on their learning, and consequently on the retained knowledge. We investigated retained calculus knowledge and beliefs about mathematics in two groups of first year students coming from the science and engineering study programs. The results showed that both groups of students showed better procedural knowledge than conceptual. Also they showed positive beliefs about mathematics in their study program, but were not certain where this knowledge will be used later. However they differed in the perception of mathematics as being exciting discipline. The educational implications of these findings are also discussed.
24. Lj. Jukić Matić, On D(w)-quadruples in the rings of integers of certain pure number fields, Glasnik Matematički 49/1 (2014), 37-46
    Abstract

    The purpose of this paper is to show the non- existence of D(w)-quadruples in number fields of odd degree whose rings of integers are of the special form. We derive some elements which can not be represented as difference of squares in such rings and comment the non-existence of corresponding Diophantine quadruples. This relies on the non-solvability of system of congruences which we prove in some low-degree cases.
25. Lj. Jukić Matić, Recalling calculus knowledge, Teaching mathematics and computer science 12 (2014), 55-70
    Abstract

    The main purpose of educational system is not only that the students perform well at the exam, but to remember the learnt material to some degree some time after the learning. This paper investigates students' retained knowledge, focusing mainly on topics concerning derivatives and differentiation, and examines the effect of re-learning in a short period of time. Results indicate that retained knowledge should be taken into consideration in instructional design and curriculum planning for the sequencing courses.
26. Lj. Jukić Matić, B. Dahl Soendergaard, Retention of Differential and Integral Calculus: A Case Study of a University Student in Physical Chemistry, International Journal of Mathematical Education in Science and Technology 8/45 (2014), 1167-1187
    Abstract

    This paper reports a study on retention of differential and integral calculus concepts of a second-year student of physical chemistry at a Danish university. The focus was on what knowledge the student retained 14 months after the course and on what effect beliefs about mathematics had on the retention. We argue that if a student can quickly reconstruct the knowledge, given a few hints, this is just as good as retention. The study was conducted using a mixed method approach investigating students’ knowledge in three worlds of mathematics. The results showed that the student had a very low retention of concepts, even after hints. However, after completing the calculus course, the student had successfully used calculus in a physical chemistry study programme. Hence, using calculus in new contexts does not in itself strengthen the original calculus learnt ; they appeared as disjoint bodies of knowledge.
27. Lj. Jukić Matić, F.M. Brueckler, What do Croatian pre-service teachers remember from their calculus course, Issues in the Undergraduate Mathematics Preparation of School Teachers: The Journal 1 (2014), 1-15
    Abstract

    This paper reports a study on retention of core concepts in differential and integral calculus by examining the knowledge of two pre-service mathematics students. The study is conducted using a mixed method approach and the obtained data were analyzed using theory of three worlds of mathematics. The results showed that having good understanding of the concepts in the conceptual- embodied world can reflect on the long-term retention of mathematical knowledge in the proceptual-symbolic and formal-axiomatic world as well.
28. Lj. Jukić Matić, Non-existence of certain Diophantine quadruples in rings of integers of pure cubic fields, Proceedings of the Japan Academy. Series A Mathematical sciences 88/10 (2012), 163-167
    Abstract

    In this paper we derive some elements of the rings of integers in the cubic fields of the form $mathbf{;Q};(sqrt[3]{;d};)$, where $d$ is even, which cannot be written as a difference of two squares in the considered ring. We show that corresponding Diophantine quadruples do not exist for such elements, what supports the hypothesis mainly proved for the ring of integers and for certain quadratic fields.
29. Lj. Jukić Matić, B. Dahl Soendergaard, University students’ retention of derivative concepts 14 months after the course: influence of ‘met-befores’ and ‘met-afters’., International Journal of Mathematical Education in Science and Technology 43/6 (2012), 749-764
    Abstract

    This paper reports the concluding part of a larger study on retention of key procedural and conceptual concepts in differential and integral calculus among Croatian and Danish university students in non-mathematics study programmes. The first parts of the study examined the retention of the students’ knowledge through a questionnaire testing core calculus concepts in derivative and integration given two and six months after the students had passed an exam testing those concepts. In the present article we continue to explore the retention of core concepts in derivative through a mixed method approach examining the knowledge of 10 second-year non-mathematics students 14 months after they took the course. The result showed that there were several negative met-befores and met-afters affecting the students’ retention
30. Lj. Jukić Matić, Differences in remembering calculus concepts in university science study programmes, Aplimat - Journal of applied mathematics 3/3 (2010), 137-146
    Abstract

    This study examines a retained university level of conceptual and procedural knowledge focusing mainly on derivatives and differentiation. A questionnaire, given two months after students were taught certain concepts from differential calculus, investigated whether the students are able to solve elementary tasks. Results are compared for five non-mathematics study programmes at one university in Croatia.

1. Lj. Jukić Matić, M. Jukić Bokun, (Digital) Game-Based Learning in Mathematics, Effective teaching and learning of mathematics through bridging theory and practice, Osijek, 2024, 335-353
2. Lj. Jukić Matić, Fostering mathematical creativity in school: Selected approaches illustrated with examples , Tendencias en la Educación Matemática 2024, Meksiko, 2024, 37-54
   Abstract

   Creativity is considered an important skill of the twenty-first century, alongside critical thinking, collaboration, and communication. By developing these skills, students can prepare for future jobs, unpredictable social challenges, and future technology use. Moreover, creative individuals have an advantage in the classroom because they can apply what they have learned in new contexts and create new connections between different knowledge and skills. Creativity has also been recognized in mathematics education as an important skill for the 21st century. Thus, the past decade has seen a significant increase in mathematical creativity research, far outpacing previous years’ efforts. Open- endedness in classrooms is one of the most popular teaching approaches to foster mathematical creativity and divergent thinking. This paper, provides examples of classroom-applicable approaches that encourage mathematical creativity: multiple solution tasks, multiple outcome tasks, problem- posing, and triptych.
3. Lj. Jukić Matić, D. Moslavac Bičvić, M. Filipov, Challenges in the implementation of differentiated instruction in mathematics classrooms, Didactical Challenges 4: Future Studies in Education, Osijek, 2023, 670-685
   Abstract

   Dealing with student heterogeneity in mathematics education has become a priority issue in education policy worldwide. In differentiated instruction, teachers use a variety of strategies to adapt to students with different abilities and interests. However, effective differentiation in mathematics instruction is challenging. This paper presents a case study examining how lower secondary mathematics teachers implement differentiation in the classroom and what influences the (non)implementation of differentiated instruction. Data were collected by recording teachers' lessons before and after the professional development and conducting interviews with them. Recording the lessons allowed us to observe the teachers and examine whether and how differentiation was implemented. In the interviews, we learned details about how and how often teachers implemented differentiation, and we gained insight into teachers' beliefs and attitudes about differentiation. The data collected through these methods allowed us to triangulate the results. The results of the study suggest that mathematics teachers encounter various barriers to differentiation and that their beliefs about instruction and classroom realities do not always align.
4. Lj. Jukić Matić, D. Marković, M. Jukić Bokun, Digital games and mathematics: Designing a game for learning probability in secondary school, 13th Congress of the European Society for Research in Mathematics Education, Budimpešta, 2023, 2973-2974
5. Lj. Jukić Matić, S. Palha, Integrating digital games in the classroom: a case study with game ProbChallenge, 16th International Conference on Technology in Mathematics Teaching, Atena, 2023
   Abstract

   This reports how a mathematics teacher uses a digital game for learning and teaching in the classroom. We utilize a case study approach to examine the pedagogical activities present in the lesson. The results of the study indicate that not all of the lesson objectives were met. Even though the teacher planned the lesson and the activities for the students, his lack of knowledge about gamebased pedagogy had an impact on the learning outcomes.
6. Lj. Jukić Matić, Longitudinal Study on The Textbook Use: A Student’s Perspective , 44th Conference of the International Group for the Psychology of Mathematics Education, Thailand, 2021, 164-165
7. Lj. Jukić Matić, D. Glasnović Gracin, Curriculum Noticing: A Case of Lower Secondary Teacher, 44th Conference of the International Group for the Psychology of Mathematics Education, Thailand, 2021, 219-220
8. D. Glasnović Gracin, Lj. Jukić Matić, Same textbook, different points of view: students and teachers as textbook users, Third International Conference on Mathematics Textbook Research and Development., Paderborn, 2019, 173-178
   Abstract

   The utilization of textbooks by mathematics teachers has been the subject of many recent studies; students’ opinions, however, have not received such attention. The study presented in this paper aims to investigate both students’ and their teacher’s ways of and reasons for using the textbook, with an emphasis on the vertices of the Socio-Didactical Tetrahedron. The findings indicate that the beliefs about being a teacher and about being a student strongly influence textbook utilization. Also, the students’ use of the textbook is influenced by the teacher’s intentions. Here the extension of the didactical tetrahedron to a socio-didactical tetrahedron proved to be very valuable due to the social factors involved in textbook use.
9. Lj. Jukić Matić, B. Bognar, Systematic Review as a Research Method: A Case of Professional Development of Mathematics Teachers, Suvremene teme u odgoju i obrazovanju, Zagreb, 2019, 78-79
   Abstract

   This study utilized a systematic review of literature as the main research method. The systematic review consists of precisely defined steps to ensure research rigor. First, we formulated appropriate research questions. Second, we defined the search terms and selected databases. Third, we used inclusion and exclusion criteria, which guided us in the further literature search. Fourth, we evaluated the scientific quality of the obtained publications using predefined quality criteria. Only studies that met the quality requirements were included in this review. Finally, data answering the research questions were extracted. Our aim was to identify studies that examined the professional development of mathematics teachers with an influence on student achievements. In this process, we identified 22 studies connected with our research question. In the reviewed studies, we examined whether professional development influenced student achievements, the effect size of achievement, and we classified the models used in professional development according to the autonomy given to the teacher in the professional development. Most professional development models were transmissive, some combined features of malleable and transmissive models, while characteristics of only malleable models were present in few studies. Half of the studies described professional development that did not impact student achievements. Our review showed that many studies had small effect size on student achievements in comparison with the effect size of 0.40, Hattie’s “hinge point” for educational interventions.
10. D. Glasnović Gracin, Lj. Jukić Matić, The dynamic interactions between teacher and resources in the use of the textbook and teacher guide, Re(s)sources 2018, Lyon, 2018, 159-162
    Abstract

    Textbooks and the accompanying teacher guides are recognized as important resources in mathematics education. They can be used in different ways by teachers in the planning phase: teachers may closely follow the textbook or guide content, they may adapt it or improvise. This study focuses on investigating the interrelationship between teachers and the mobilization of textbooks and teacher guides. The two participants used the textbook as the basis for lesson planning, consulted the teacher guide as an additional resource for activities and ideas, and then went back to the textbook to finalize their lesson plans. The results suggest that the process of teachers’ lesson planning cannot be described as linear, but rather as a dynamic and complex process.
11. Lj. Jukić Matić, Teacher’s pedagogical design capacity and mobilization of textbook, 10th Congress of the European Society for Research in Mathematics Education, Dublin, 2017, 3762-3763
12. Lj. Jukić Matić, D. Glasnović Gracin, Teacher Offloading, Adapting And Improvising With The Textbook – A Case Study, 40th Conf. of the International Group for the Psychology of Mathematics Education, Szeged, 2016, 59-66
    Abstract

    The study presented in this paper investigates how two mathematics teachers utilize textbook in a traditional curricular environment. Using Design Capacity for Enactment framework, we analysed four lessons, observed in each teacher classrooms. The results of the study showed that teachers used the textbook extensively in their teaching practice. Most of the time teachers offloaded lessons from the textbook for various activities: teaching a new content, practice exercises or homework. The teachers offloaded lessons on the textbook because the textbook supported their current teaching goals and was aligned with their beliefs for particular lessons. Other types of textbook utilization such as adapting and improvising were present but to a lesser extent. They were used when textbook did not satisfy teacher’s goals and beliefs.
13. Lj. Jukić Matić, M. Kristek, A. Mirković Moguš, Pre-service teachers and statistics: an empirical study about attitudes and reasoning, Mathematics and Children, The 5th International Scientific Colloquium, Osijek, 2015
    Abstract

    In the paper a pre-service elementary teachers’ attitudes were examined using the Scale of Attitudes Towards Statistics and the analysis of results showed pre-service elementary teachers’ neutral attitude toward statistics. Their statistical reasoning in measures of center was also examined using several items from Quantitative Reasoning Quotient Test. This analysis showed that pre-service teachers’ statistical reasoning is inconsistent from item to item, or topic to topic, depending on the context of the problem. Results of both assessment instruments indicate that pre-service teachers lack awareness of the usefulness of statistics in everyday life and lack of experience in solving everyday problems. Since the attitudes have a significant effect on the learning process, we believe that not knowing where, why and when statistics can or will be used, influenced on pre-service elementary teachers’ statistical reasoning.
14. Lj. Jukić Matić, D. Glasnović Gracin, Teacher and textbook: Reflection on the SDT-model, 9th Congress of the European Society for Research in Mathematics Education, Prag, 2015, 3072-3078
    Abstract

    This study investigates in-depth how two teachers use the textbook in mathematics classrooms. Their use of the textbook was analysed in the light of a socio-didactical tetrahedron (SDT) which proved to be a powerful model to describe many aspects of textbook use that we encountered. Our results showed that the teacher acted as the mediator between the textbook and students, but the lower part of the SDT helped us to detect the influence of social factors on textbook use which cannot be disregarded.
15. Lj. Jukić Matić, M. Kristek, Attitudes of prospective teachers towards statistics, Education vision & challenge for future 2014, Ljubljana, 2014, 206-2013
    Abstract

    he goal of research was to examine the attitudes of prospective mathematics teachers towards statistics and possible differences in their approach to learning. Participants were prospective mathematics teachers who filled out two questionnaires via computer: Scale of Attitudes Towards Statistics and Approaches and Study Skills Inventory for Students. The results have shown that, ultimately, students have moderate positive attitude toward statistics. They see the importance of statistics and statistical literacy in the real life, but are indifferent toward learning it and do not have a clear perception of its use in other fields. When examined connections between students approaches to learning, results have shown a high correlation between strategic and deep approach. In relation with their attitude toward statistics, the positive correlation was found with a deep approach. Taking in consideration that the attitudes of teachers have an important role in satisfaction, success and students' choice of learning approaches, this study contains important implications for further research in this field
16. D. Glasnović Gracin, Lj. Jukić Matić, Schulbuch als Teil des implementierten Curriculums, 48. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Koblenz, 2014, 431-435
    Abstract

    Diese Studien umfassen qualitative Forschungen (Interviews und Unterrichtsbeobachtungen) die das Ziel hatten, die Rolle der Mathematikschulbücher in der Praxis zu erforschen. Die Ergebnisse können helfen, ein besseres Bild über die Rolle der Schulbücher zu bekommen.
17. A. Katalenić, Lj. Jukić Matić, I. Matić, Approaches to learning mathematics in engineering study program, Mathematics and children, 4th International Scientific Colloquium, Osijek, Hrvatska, 2013, 186-195
18. Lj. Jukić Matić, K. Dobi Barišić, I. Đeri, The influence of formal education and personal initiatives on the willingness to use ICT in teaching mathematics, Mathematics and children, 4th International Scientific Colloquium, Osijek, Hrvatska, 2013, 261-270
    Abstract

    Application of computer technology in the classroom is a challenge for every teacher who wants to follow the development of the information society. Teacher’s competence to work with computer technology certainly depends on formal education but also on personal initiatives. This paper presents the results of study on the willingness of mathematics teachers to use ICT in teaching mathematics in the different educational cycles with respect to their competences. Teachers are aware of the need to use ICT, but point out the shortcomings of their formal education, that shows progress, and emphasize a great need for personal initiatives and further education
19. Lj. Jukić Matić, I. Matić, Educating future mathematics teachers: Repeating mathematics from primary and secondary school, Mathematics and children, 3rd International Scientific Colloquium, Osijek, Hrvatska, 2011, 27-34
20. B. Dahl Soendergaard, Lj. Jukić Matić, University students’ concept image and retention of the definite integral, 35th Conf. of the Int. Group for the Psychology of Mathematics Education, Ankara, Trukey, 2011
    Abstract

    This paper reports a part of a larger study researching the retention of key derivative and integration concepts months after the calculus course exam at a Croatian and Danish university. In this paper we focus on the students’ long-term retention and concept image of the definite integral. 18 students in non-mathematics science study programmes were interviewed in pairs and presented with four tasks on the definite integral in order to expose their concept definition and concept image. No student had a coherent concept definition which caused problems solving the tasks. However, some of these students appeared to have more coherent concept image, and solved some of the tasks, while others did not. We argue that the relation between concept definition and concept image varies from student to student.
21. Lj. Jukić Matić, B. Dahl Soendergaard, What Affects Retention of Core Calculus Concepts Among University Students? A Study of Different Teaching Approaches in Croatia and Denmark, 7th Congress of the European Society for Research in Mathematics Education, Rzeszow, Poljska, 2011
    Abstract

    This paper reports a parallel study of two university calculus courses in Croatia and Denmark using different teaching approaches. Both have lectures to a large group of students but they use different types of exercises. In Denmark, the exercises are student-centred, while the Croatian university uses a teacher-centred approach. The content of the courses are similar regarding the concepts we study in this paper. The students‘ retention was tested two months after the course exam on these concepts. Our statistical data analysis shows that the Danish students of our sample performed significantly better than the Croatian students of our sample on the conceptual questions, and vice versa for the procedural ones.
22. Lj. Jukić Matić, K. Dobi Barišić, I. Đeri, What Is the Future of the Integration of ICT in Teaching Mathematics, Mathematics and children, 3rd International Scientific Colloquium, Osijek, Hrvatska, 2011, 128-140
    Abstract

    n recent years the need for introducing information and communication technology into the teaching process has posed one of the unavoidable changes in the educational system. Present generation of students are so proficient in usage of the information and communication technologies in their daily lives, that this change in the educational system can not be viewed as an investment in a better future, but as a necessity in order to keep pace with technology and students. Considering the integration of ICT in teaching mathematics, it is clear that the replacement of board and chalk with digital presentation material does not cover all the aspects that technology and mathematics can improve when working hand in hand. One of the important prerequisites for quality integration of ICT in teaching mathematics is the teacher’s personality, i.e. his knowledge, willingness and desire to improve his lessons bringing mathematics closer to the present generations of pupils. The aim of this paper was to investigate the readiness of the future mathematics teachers at the elementary and high school levels to integrate ICT into their teaching of mathematics. Factors influencing described readiness that are considered in this paper are teacher’s university education and initiative with regard to personal digital competence and infrastructure. We conducted the survey research on the samples of individuals from the population of students enrolled in final years of a five-year Master of Arts in Teaching Primary Education programme at the Faculty of Teacher Education in Osijek, Croatia (n = 196), and Master of Arts in Teaching Mathematics and Computer Science programme at the Department of Mathematics in Osijek, Croatia (n = 36). The obtained results indicate that identified aspects have impact on considered readiness and that teacher’s university education causes the differences in the attitudes towards his digital competencies necessary for quality integration of ICT in mathematics lessons.
23. F.M. Brueckler, Lj. Jukić Matić, How science students understand, remember and use mathematics, 4th International Conference on Research in Didactics of the Sciences, Krakow, Poljska, 2010
    Abstract

    Practically all science study programmes contain mathematical courses. They are meant to give the students mathematical tools they should be able to apply later in applyed contexts of their specific study area. This can only be attained if the students remember the concepts after they have completed the corresponding courses. It is often noted that students who have succesfully completed their mathematics courses, often containing quite sophisticated mathematical topics, are in many cases unable to correctly apply them in a concrete context. One of the reasons could be that students tend to learn their mathematics courses as separate entities, and are thus often unaible to apply a mathematical technique learned (and successfully tested on in the mathematics course) in the real applied context. Another, and the authors conjecture that this is the main one, are overloaded syllabusses, particularly characteristic for the Croatian educational system, which facilitate the retainment of procedural, and less of conceptual knowledge. As both types of knowledge are necessary to succesfully a mathematical concept, an affirmation of this conjecture would explain the noted problems, and suggestions for improvement could be made. As the content of mathematics courses varies from study to study, the authors decided on testing the retainment of knowledge in basic calculus (derivatives and integrals), as this topic is covered in all of the mathematics courses for science students. The authors have made several surveys testing the retained level of knowledge about derivatives and integrals at two Croatian and one Danish university. Also, the first-named author, teaching the mathematics courses for chemistry students in Zagreb, has tried to incorporate more applications of derivatives and less mathematical formalism in the mathematics course, thus making it less a separate identity in the learning process. The outcomes of this approach are still to be tested.After statistical analysis of the surveys, the results support our conjectures.
24. Lj. Jukić Matić, B. Dahl Soendergaard, The retention of key derivative concepts by university students on calculus courses at a Croatian and Danish university, 34th Conference of the International Group for the Psychology of Mathematics Education, Belo Monte, Brazil, 2010
    Abstract

    his paper reports a part of a larger study investigating the calculus teaching at a Croatian and Danish university. It concerns the students’ retention of key procedural and conceptual concepts of derivative two months after having passed similar Calculus 1 courses, and while being taught a Calculus 2 course. The results showed that for both countries, a large portion was forgotten and the passing grades of the Calculus 1 course did not predict the results in the test two months later. In fact, often students with the lowest passing grades had the better results two month later.

1. Lj. Jukić Matić, M. Jukić Bokun, Game-based learning in mathematics: Handbook for teachers (2023)
   Abstract

   This handbook has been developed in the context of the European Erasmus+ project GAMMA (GAMe-based learning in MAthematics). The project aims to develop educational materials that will be useful for mathematics teachers who want to use game-based learning (GBL) founded on digital technology. The handbook provides background knowledge on (digital) game-based learning, but also examples and practical guidance for applications in mathematics education. More information about the project, learning materials and outputs can be found online on the project website: http://www.project-gamma.eu/.
2. M. Jukić Bokun, Lj. Jukić Matić, D. Marković, Projekt GAMMA, Osječki matematički list 22/2 (2022), 161-170
   Abstract

   Projekt GAMMA je Erasmus+ projekt na kojemu je Odjel za matematiku Sveučilišta u Osijeku koordinator. U radu predstavljamo projekt i njegove rezultate, opisujemo aktivnosti važne za razvoj rezultata i najavljujemo službene diseminacijske aktivnosti.
3. Lj. Jukić Matić, I. Kladušić, Matematičke dijagnostičke probe, Osječki matematički list 21/2 (2021), 137-149
   Abstract

   Dijagnostičko vrednovanje provodi se kako bi se utvrdila kvaliteta i razina učeničkih predznanja i vještina prije početka procesa poučavanja. Ovaj oblik vrednovanja može se koristiti i za određivanje prikladnoga oblika odgojno-obrazovne podrške pojedinim učenicima. Matematičke dijagnostičke probe kratki su zadaci koji pomažu učiteljima prikupiti informacije o predznanju učenika, kao i o kolektivnim miskoncepcijama te individualnim poteškoćama učenika. Mogu se primijeniti u svim domenama matematike kako u osnovnoj tako i srednjoj školi.
4. Lj. Jukić Matić, M. Filipov, I. Šustek, Učinkovita povratna informacija u nastavi matematike, Matematika i škola 23/112 (2021), 51-56
   Abstract

   U radu je opisano što čini učinkovitu povratnu informaciju i razine na kojima se povratna informacija upućuje. Davanje povratne infromacije usmjereno na učenikov daljnji razvoj ilustriran je na matematičkim primjerima.
5. Lj. Jukić Matić, J. Alilović, Zadatci više i niže kognitivne razine, Matematika i škola 23/110 (2021), 195-200
   Abstract

   Zadatak je osnova nastave matematike. Kakvim zadatcima izlažemo učenike, takvo znanje im i razvijamo. Ne samo znanje, već i shvaćanje o samoj prirodi matematike. Doživljavaju li učenici matematiku kao skup nepovezanih definicija, pravila i postupaka pokazuje da su često bili izloženi zadatcima u kojima se ne povezuju znanja različitih matematičkih domena. Ili da ne postoji veza između konceptualnog značenja nekog postupka i samog postupka.
6. D. Novački, Lj. Jukić Matić, Formativno vrednovanje s pomoću kognitivnog konflikta, Matematika i škola 21/104 (2020), 147-153
   Abstract

   U ovom radu opisujemo kognitivni konflikt i njegovu upotrebu u nastavi matematike.
7. Lj. Jukić Matić, Produktivni neuspjeh, Matematika i škola 21/102 (2019), 51-55
8. I. Matić, Lj. Jukić Matić, Rođak Miško, Osječki matematički list 19 (2019), 49-72
9. Lj. Jukić Matić, Učenje otkrivanjem i produktivni neuspjeh u nastavi matematike (2019)
   Abstract

   U radu je opisano učenje otkrivanjem i produktivni neuspjeh u nastavi matematike.
10. Lj. Jukić Matić, I. Matić, Crtice iz tramvaja zvanog ludara, Osječki matematički list 18/1 (2018), 59-69
    Abstract

    Matematički zadatci uz priču
11. Lj. Jukić Matić, I. Matić, Obitelj Medić u dizalu, Osječki matematički list 18 (2018), 159-177
12. Lj. Jukić Matić, I. Širić, Singapurska metoda modela, Matematika i škola 19/95 (2018), 195-199
13. I. Matić, Lj. Jukić Matić, Dnevnik malog Medića, Osječki matematički list 17/1 (2017), 89-94
14. Lj. Jukić Matić, M. Štivić, Konačno ili beskonačno? Kako učenici i studenti shvaćaju pojam beskonačnosti, Poučak 18/70 (2017), 19-27
15. Lj. Jukić Matić, I. Matić, Tri Medića i beba, Osječki matematički list 17/2 (2017), 171-176
16. Lj. Jukić Matić, Zašto je ta proporcionalnost tako teška?, Matematika i škola 18/89 (2017), 147-154
17. Lj. Jukić Matić, I. Matić, Obitelj Medić u posjetu zoološkom vrtu, Osječki matematički list 16/1 (2016), 93-98
18. I. Matić, Lj. Jukić Matić, Shopping, Osječki matematički list 16/2 (2016), 91-94
19. Lj. Jukić Matić, I. Matić, Ključevi, Osječki matematički list 15/2 (2015), 60-67
20. Lj. Jukić Matić, I. Matić, Lov na blago, Osječki matematički list 15/1 (2015), 95-98
21. Lj. Jukić Matić, D. Zucić, Realistic mathematics education: primjena na eksponencijalnu i logaritamsku funkciju, Matematika i škola 79 (2015), 147-153
    Abstract

    Rad daje opis nizozemske matematičke edukacije poznate kao Realistična matematička edukacija (RME).
22. Lj. Jukić Matić, I. Matić, M. Pavlović, Geometrija i Sherlock Holmes, Matematika i škola 75 (2014), 195-201
23. Lj. Jukić Matić, I. Matić, Obitelj Medić se priprema za odlazak u svatove, Osječki matematički list 14 (2014), 169-174
    Abstract

    Zanimljivi zadatci uklopljeni u priču o obitelji Medić.
24. Lj. Jukić Matić, I. Matić, Priprema za državnu maturu obitelji Medić, Osječki matematički list 14/1 (2014), 77-81
25. Lj. Jukić Matić, V. Tutnjević, Algebarski koncepti u nastavi matematike, Poučak 14 (2013), 31-38
    Abstract

    Uvođenje algebre u nastavu matematike počinje u višim razredima osnovnih škola, a posebno je istaknuto u prvoj godini srednjoškolskog obrazovanja. Ovdje govorimo o osnovnim algebarskim konceptima.
26. Lj. Jukić Matić, I. Matić, Gozba obitelji Medić, Osječki matematički list 13/2 (2013), 191-194
27. Lj. Jukić Matić, I. Matić, Ljetovanje obitelji Medić, Osječki matematički list 13/1 (2013), 84-90
28. Lj. Jukić Matić, I. Matić, Put djeda mraza, Osječki matematički list 13/1 (2013), 101-105
29. Lj. Jukić Matić, V. Tutnjević, Razvijanje matematičkog razumijevanja, Matematika i škola 70 (2013), 196-200
    Abstract

    U radu se opisuju metode za razvoj matematičkog razumijevanja kod učenika kroz istraživačku matematiku.
30. Lj. Jukić Matić, I. Matić, Role of the competitions in the curricula of teaching computer science, Croatian Journal of Education 13/3 (2011), 201-231
31. Lj. Jukić Matić, H. Velić, Fibonaccijev brojevni sustav, Math.e : hrvatski matematički elektronski časopis 16 (2010), 1-10
    Abstract

    U ovom članku prikazujemo kako pomoću Fibonaccijevih brojeva izgraditi brojevni sustav
32. Lj. Jukić Matić, I. Hartmann, Od rimskih brojeva do chisanbopa, Matematika i škola 54 (2010), 161-166
    Abstract

    Članak opisuje opisuje vezu između rimskih brojeva i metode računanja na prste koja se zova chisanbop (chisonbop).
33. Lj. Jukić Matić, Matematičke slagalice, Osječki matematički list 9/1 (2009), 13-20
    Abstract

    Čak i kad mislimo da je igra samo igra, ona je zapravo više od toga. Kroz igru se možemo zabaviti, ali i dosta toga naučiti. Takve su i slagalice tangram i IZZI 2. S jedne strane razvijaju logičko rezoniranje i kombiniranje, a s druge strane su neiscrpan izvor zabave
34. Lj. Jukić Matić, Matematika i origami, Osječki matematički list 7/1 (2007), 23-32
    Abstract

    Origami je japanska umjetnost savijanja papira u zanimljive modele, bez korištenja škara i ljepila. U ovom članku dajemo nekoliko primjera “ origami geometrije” .
35. Lj. Jukić Matić, Matematika kroz igru domino, Osječki matematički list 7/2 (2007), 69-79
    Abstract

    Domino pločice nisu namijenjene samo za igru. One se mogu koristiti kao sredstvo za savladavanje raznih matematičkih pojmova i razvoj logičkog mišljenja.

1. Lj. Jukić Matić, I. Matić, Priče obitelji Medić, Odjel za matematiku, Sveučilište J.J. Strossmayera u Osijeku, Osijek, 2021.
2. Z. Kolar-Begović, R. Kolar-Šuper, Lj. Jukić Matić, Towards new perspectives on mathematics education, Fakultet za odgojne i obrazovne znanosti i Odjel za matematiku, Sveučilište u Osijeku, Osijek, 2019.
3. Z. Kolar-Begović, R. Kolar-Šuper, Lj. Jukić Matić, Mathematics Education as a Science and a Profession, Odjel za matematiku i Fakultet za odgojne i obrazovne znanosti, Osijek, 2017.
4. Lj. Jukić Matić, I. Matić, Priručnik za nastavu matematike, Odjel za matematiku, Sveučilište J.J. Strossmayera, Osijek, 2017.
5. Lj. Jukić Matić, D. Glasnović Gracin, How Croatian mathematics teachers organize their teaching: differences according to the initial education, Element, Osijek, 2015.
   Abstract

   Initial education of mathematics teachers is important for teaching and learning mathematics in school classrooms. Some studies showed that there exists a relation between students’ achievement and teachers’ mathematical and pedagogical content knowledge. In Croatian lower secondary education, there are mathematics teachers who significantly differ in their initial education. In this paper, we examine teaching practices of two groups of mathematics teachers ; those who finished former pedagogical academies and those who obtained their degrees from departments of mathematics. Using qualitative methods as observations and interviews, we investigated the teaching practice of 12 lower secondary mathematics teachers with special reference to the utilization of the textbook. Results showed that these two groups of teachers differ in the use of textbooks, but also in some other parts of teaching practice.

Projects

• Kreativna STEM revolucija u Slavoniji (2021-2022)
• ERASMUS + KA201 “GAMMA”
  • The project GAMMA aims to direct students’ knowledge of digital games and their connection thereto to enhance their mathematical skills. Since teachers should have a leading role in this process, the project aims to develop educational materials that will be useful to all mathematics teachers who want to use game-based learning (GBL) founded on digital technology (2020-2022)
• Researcher in the project SURFPRIMA- Professional development of teachers in the function of improving the learning outcomes of primary school students in science and mathematics (https://surfprima.net) funded by the Croatian Science Foundation from 2018-2022.
• “STEMp” – Development of modern study programs for the education of IT teachers, technology teachers biology, chemistry, physics and math teachers using the Croatian Qualifications Framework . Project ran 2015/2016.
• “Discrete series in generalized principal series “. Project ran in 2013/14, supported by University of Osijek.
•  “Teaching and learning outcomes in undergraduate calculus courses for students of technical and science studies in Croatia and Denmark” . Project ran in 2010/11 in collaboration with professor Bettina Dahl Soendergaard from University of Aarhus, Denmark. Project was supported by National Foundation for Science, Higher Education and Technological Development of the Republic of Croatia.
• “Teaching for quality learning of mathematics in technical and science study programs” Project run in 2008/09 in collaboration with professor Bettina Dahl Soendergaard from University of Aarhus, Denmark. Project was supported by National Foundation for Science, Higher Education and Technological Development of the Republic of Croatia
•  “Matematički temelji prirodnih i društvenih spoznaja”  Project ran from 2007-2014 in collaboration with professor Franka Miriam Brueckler  from University of Zagreb, Croatia. Project was supported by Ministry of Education, Science and Sports.

Professional Activities

• Osječki matematički list
• Acta mathematica spalatensia- Series didactica

• Udruga Matematičara Osijek– secretary (2013-2017), vice president (2017 -…)
• HMD (Hrvatsko matematičko društvo)
• ERME (European Society for Research in Mathematics Education)
• PME (International Group for Psychology of Mathematics Education)

Teaching

• Methods of teaching mathematics 1
• Methods of teaching mathematics 2
• Methods of teaching mathematics 3
• Methods of teaching mathematics 4