Ljerka Jukić Matić- Doctor of Philosophy
- Professor (Associate) at University of Osijek
Ljerka Jukić Matić
- Doctor of Philosophy
- Professor (Associate) at University of Osijek
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41
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Introduction
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Publications
Publications (41)
Considering that the teaching of mathematics in elementary school is an important prerequisite for the development of mathematically literate citizens, it is essential to identify what makes it effective. The aim of this study is to determine the characteristics of effective interventions in elementary school mathematics education. To this end, a s...
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 p...
The adaptive learning systems aim to provide a customized educational experience that improves students' academic performance and engagement by identifying areas of proficiency and deficiency and allowing them to acquire new knowledge autonomously. Due to the lack of research in this particular area, both in Croatia and other countries, the Croatia...
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 spo...
Mathematics is often viewed as an abstract body of knowledge that is disconnected from the real world, unlike other STEM disciplines. Thus, students may experience a sense of disconnection from the mathematical topics. Additionally, traditional teaching methods are criticized for their inability to engage students and for denying them the autonomy...
U radu se uspoređuju model Montessori i singapurski model početne nastave matematike. Kao elementi usporedbe uzeta su teorijska polazišta, nastavne metode, nastavni materijali, matematički zadatci, uloga učitelja i rezultati istraživanja. Singapurski je model usmjeren na poučavanje učenika koje je dosljedno, pragmatično i prilagođeno matematičkim c...
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 DG...
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 ca...
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 l...
Creativity and problem solving are considered to be twenty-first-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 utilization of multiple solution tasks (MSTs) to investigate students’ cr...
Znanstveni članek UDK 37.091.3:51 KLJUČNE BESEDE: matematika, učinkovit pouk, prepričanja učiteljev, uspešnost učencev POVZETEK-Sinonimi dobrega ali kakovostnega poučevanja se pogosto uporabljajo, ko govorimo o učinkovitem pouku matematike. Ni univerzalne defini-cije dobrega ali učinkovitega poučevanja matematike in pogledi na te koncepte so v veli...
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, form...
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 achi...
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 mathema...
Mathematics textbook influences students' achievements by providing opportunities to learn mathematics. How students use those opportunities has been studied sporadically. This research aims to investigate how students utilize the textbook for learning mathematics; what parts of the textbook they use, when and how. The data in the study were obtain...
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 influenc...
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 repor...
This paper reports a study on the type of mathematical tasks and their overall representation in mathematics textbooks. The aim of the study was to investigate the ratio of tasks according to the main classification on procedural and conceptual tasks according to the type of knowledge one accessed to obtain a solution. The study provides further in...
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, espec...
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...
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 qualitati...
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...
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 recons...
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-solvabilit...
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...
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 enginee...
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...
The students’ approaches to learning have been significantly researched in the last few decades, particularly since Marton and S¨alj¨o in 1979. elaborated about a deep/surface approach dichotomy. The above dichotomy appears to be very useful in the assessing of teaching, based on which one can obtain parameters according to which teaching can be im...
In this paper we derive some elements of the rings of integers in the cubic fields of the form Q(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 a...
This article 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...
In the recent years, competitions in school subjects have slowly but surely occupied a prominent place in the educational process and now play an important role in motivating and inspiring students to enhance their learning. This paper presents a brief overview of the competitions in computer science in Croatia, highlighting their strengths and wea...
In the recent years, competitions in school subjects have slowly but surely occupied a prominent place in the educational process and now play an important role in motivating and inspiring students to enhance their learning. This paper presents a brief overview of the competitions in computer science in Croatia, highlighting their strengths and wea...
Domino tiles are not made just for play. One can use them as a mean for learning mathematical concepts and developing logical thinking.
Helena Velić studentica Odjela za matematiku Sveučilišta u Osijeku, hvelic@mathos.hr Sažetak U ovom članku prikazujemo kako pomoću Fibonaccijevih brojeva izgraditi brojevni sustav. 1 Uvod Najveći matematičar srednjeg vijeka, Leonardo iz Pise, poznatiji kao Fibo-nacci, otkrio je neobičan matematički niz koji danas nosi njegovo ime. Fi-bonaccijev niz...
In 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 c...
Even when one thinks that he is just playing a game, he is doing more than that. Playing various games is fun, but also a chance for learning. Puzzles Tangram and IZZI 2 are games like that. On the one hand, they develop logical thinking and combining, and on the other, they are a great source of fun.
