Ljerka Jukić Matić

 Google Schoolar

 AVM6207 Assistant Professor
Department of Mathematics
Josip Juraj Strossmayer University of Osijek
Trg Ljudevita Gaja 6
Osijek, HR-31000, Croatia¸
phone: +385-31-224-803
fax: +385-31-224-801
email:  ljukic@ mathos.hr
office:  2(ground floor)

 

 


Research Interests

Mathematics Education
Popularization of  Mathematics
History of Mathematics

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

 
Journal Publications

  1. Lj. Jukić Matić, The Teacher as a Lesson Designer, Center for Educational Policy Studies Journal (2018), prihvaćen za objavljivanje
  2. 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
    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.
  3. 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
    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.
  4. 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
    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.
  5. Lj. Jukić Matić, Non-mathematics Students’ Reasoning in Calculus Tasks, International Journal of Research in Education and Science 1/1 (2015), 51-63
    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
  6. 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
    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.
  7. Lj. Jukić Matić, On D(w)-quadruples in the rings of integers of certain pure number fields, Glasnik Matematički 49/1 (2014), 37-46
    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.
  8. Lj. Jukić Matić, Recalling calculus knowledge, Teaching mathematics and computer science 12 (2014), 55-70
    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.
  9. 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
    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.
  10. 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
    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.
  11. 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
    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.
  12. 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
    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
  13. Lj. Jukić Matić, Differences in remembering calculus concepts in university science study programmes, Aplimat - Journal of applied mathematics 3/3 (2010), 137-146
    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.


Refereed Proceedings

  1. 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
    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.
  2. 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
  3. 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
    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.
  4. 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
    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.
  5. 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
    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.
  6. Lj. Jukić Matić, M. Kristek, Attitudes of prospective teachers towards statistics, Education vision & challenge for future 2014, Ljubljana, 2014, 206-2013
    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
  7. D. Glasnović Gracin, Lj. Jukić Matić, Schulbuch als Teil des implementierten Curriculums, 48. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Koblenz, 2014, 431-435
    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.
  8. 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
  9. 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
    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
  10. 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
  11. 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
    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.
  12. 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
    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.
  13. 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
    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.
  14. 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
    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.
  15. 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
    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.


Others

  1. Lj. Jukić Matić, I. Širić, Singapurska metoda modela, Matematika i škola 19/95 (2018), 195-199
  2. I. Matić, Lj. Jukić Matić, Dnevnik malog Medića, Osječki matematički list 17/1 (2017), 89-94
  3. Lj. Jukić Matić, M. Štivić, Konačno ili beskonačno? Kako učenici i studenti shvaćaju pojam beskonačnosti, Poučak 18/70 (2017), 19-27
  4. Lj. Jukić Matić, I. Matić, Tri Medića i beba, Osječki matematički list 17/2 (2017), 171-176
  5. Lj. Jukić Matić, Zašto je ta proporcionalnost tako teška?, Matematika i škola 18/89 (2017), 147-154
  6. Lj. Jukić Matić, I. Matić, Obitelj Medić u posjetu zoološkom vrtu, Osječki matematički list 16/1 (2016), 93-98
  7. I. Matić, Lj. Jukić Matić, Shopping, Osječki matematički list 16/2 (2016), 91-94
  8. Lj. Jukić Matić, I. Matić, Ključevi, Osječki matematički list 15/2 (2015), 60-67
  9. Lj. Jukić Matić, I. Matić, Lov na blago, Osječki matematički list 15/1 (2015), 95-98
  10. Lj. Jukić Matić, D. Zucić, Realistic mathematics education: primjena na eksponencijalnu i logaritamsku funkciju, Matematika i škola 79 (2015), 147-153
    Rad daje opis nizozemske matematičke edukacije poznate kao Realistična matematička edukacija (RME).
  11. Lj. Jukić Matić, I. Matić, M. Pavlović, Geometrija i Sherlock Holmes, Matematika i škola 75 (2014), 195-201
  12. Lj. Jukić Matić, I. Matić, Obitelj Medić se priprema za odlazak u svatove, Osječki matematički list 14 (2014), 169-174
    Zanimljivi zadatci uklopljeni u priču o obitelji Medić.
  13. Lj. Jukić Matić, I. Matić, Priprema za državnu maturu obitelji Medić, Osječki matematički list 14/1 (2014), 77-81
  14. Lj. Jukić Matić, V. Tutnjević, Algebarski koncepti u nastavi matematike, Poučak 14 (2013), 31-38
    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.
  15. Lj. Jukić Matić, I. Matić, Gozba obitelji Medić, Osječki matematički list 13/2 (2013), 191-194
  16. Lj. Jukić Matić, I. Matić, Ljetovanje obitelji Medić, Osječki matematički list 13/1 (2013), 84-90
  17. Lj. Jukić Matić, I. Matić, Put djeda mraza, Osječki matematički list 13/1 (2013), 101-105
  18. Lj. Jukić Matić, V. Tutnjević, Razvijanje matematičkog razumijevanja, Matematika i škola 70 (2013), 196-200
    U radu se opisuju metode za razvoj matematičkog razumijevanja kod učenika kroz istraživačku matematiku.
  19. 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
  20. Lj. Jukić Matić, H. Velić, Fibonaccijev brojevni sustav, Math.e : hrvatski matematički elektronski časopis 16 (2010), 1-10
    U ovom članku prikazujemo kako pomoću Fibonaccijevih brojeva izgraditi brojevni sustav
  21. Lj. Jukić Matić, I. Hartmann, Od rimskih brojeva do chisanbopa, Matematika i škola 54 (2010), 161-166
    Članak opisuje opisuje vezu između rimskih brojeva i metode računanja na prste koja se zova chisanbop (chisonbop).
  22. Lj. Jukić Matić, Matematičke slagalice, Osječki matematički list 9/1 (2009), 13-20
    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
  23. Lj. Jukić Matić, Matematika i origami, Osječki matematički list 7/1 (2007), 23-32
    Origami je japanska umjetnost savijanja papira u zanimljive modele, bez korištenja škara i ljepila. U ovom članku dajemo nekoliko primjera “ origami geometrije” .
  24. Lj. Jukić Matić, Matematika kroz igru domino, Osječki matematički list 7/2 (2007), 69-79
    Domino pločice nisu namijenjene samo za igru. One se mogu koristiti kao sredstvo za savladavanje raznih matematičkih pojmova i razvoj logičkog mišljenja.


Books

  1. 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, Zagreb, 2017.
  2. Lj. Jukić Matić, I. Matić, Priručnik za nastavu matematike, Odjel za matematiku, Sveučilište J.J. Strossmayera, Osijek, 2017.
  3. Lj. Jukić Matić, D. Glasnović Gracin, How Croatian mathematics teachers organize their teaching: differences according to the initial education, Element, Osijek, 2015.
    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

  • "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 run 2015/2016.

  • "Discrete series in generalized principal series ". Project run 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 run 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 run 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

Editorial Boards

 Osječki matematički list


 

Committee Memberships

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)


 

Refereeing/Reviewing

 


 

Service Activities
  • August 2016, organiser and speaker at Inovativna nastava matematike (Teaching mathematics innovatively)
  • January 2015, lecture at National conference for mathematics teachers "Mathematics in context" (Singapore math)
  • November 2014. lecture at Teacher professional development meeting (ŽSV učitelja matematike- Learning outcomes)
  • 2013 -....  member of committee for teacher credentialing, appointed by Education and Teacher Training Agency
  • December 2014. Večer Matematike  (Night of Mathematics)-Kako sakriti poruku od ostatka Zemlje
  • May -October 2013. Nacionalni centar za vanjsko vrednovanje obrazovanja (NCVVO)- 

    member of expert group for developing the guide for the state graduation exam in mathematics in 2014./2015.

  • October 2010. participating in workshop "Matematičko područje u nacionalnom okvirnom kurikulumu za predškolski odgoj i obrazovanje te opće obvezno i srednjoškolsko obrazovanje"
  • October 2010. lecture at 2. stručno-metodičkom skupu Udruge Normala with topic “Nastava matematike i izazovi moderne tehnologije“ - tema "Dokazivanje i softveri dinamičke geometrije"
  • June 2010. Nacionalni centar za vanjsko vrednovanje obrazovanja (NCVVO)
    member of expert group who determined rank of passing the state graduation exam in mathematics in 2009./2010.

FESTIVAL ZNANOSTI (Science Fair)

2017. organizing
2016. workshop Svijet origamija
2015. workshop Sunčana matematika, Magični Kvadrati
2014. workshop MathCraft-Origami
2013. workshop Pogled u budućnost
2012. organizing
2011. workshop Pobjedničke strategije
2010. workshop Kako sakriti poruku od ostatka Zemlje
2009. workshop Kako računati na prste - ručni kalkulator 
2008. workshop Matematičke slagalice
2007. workshop Matematika kroz igru domino

Zimska škola matematike za srednju školu (Winter math school for high school) organizing and participating
2010. lecture Teorija grafova
2009. lecture Matematička indukcija i Goodsteinov teorem
2006. lecture Funkcijske jednadžbe

 

Zimska škola matematike za osnovnu školu (Winter math school for secondary school)
2011. workshop Pascalov trokut
2010. workshop Malo o grafovima
2009. workshop Sudoku

 

 

 

 


Teaching

Methods of teaching mathematics 1

Methods of teaching mathematics 2

Linear algebra 1

 

Teme diplomskih radova

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Personal

1 child

married to Ivan Matić