Alenka Lipovec

• University of Maribor

The monograph titled "Interdisciplinary Research in Teaching and Learning: New Perspectives and Approaches," brings together 37 original scientific articles that explore the multifaceted dimensions of education. The contributions span a wide range of topics including innovative teaching methodologies, the integration of technology in learning, comp...

The monograph titled "Interdisciplinary Research in Teaching and Learning: New Perspectives and Approaches," brings together 37 original scientific articles that explore the multifaceted dimensions of education. The contributions span a wide range of topics including innovative teaching methodologies, the integration of technology in learning, comp...

During the COVID -19 situation, it was often warned that emergency remote teaching increases differences among students. Additionally, some empirical results in Slovenia indicate that the situation at schools in Slovenia was very diverse, leading to a violation of the equity principle in education. In this paper, we investigate teaching methods use...

This paper presents the findings of an empirical research project, designed with a combination of qualitative and quantitative methodology. Our goal was to apply Wiener attribution theory with a mathematics-specific pedagogical focus as a lens for analysing reflections. Our database consists of the prospective teachers’ reflections on self-performe...

Znanstvena monografija o poučevanju slovenščine kot drugega in tujega jezika (DTJ) za otroke priseljence, ki so zaradi svojih jezikovnih in kulturoloških posebnosti v neugodnem položaju v primerjavi z vrstniki, je zasnovana transdisciplinarno in prinaša razprave s področja humanistike, družboslovja, naravoslovja in umetniških disciplin, ki se z raz...

The paper presents the current state of scientific findings on flipped learning during the outbreak of COVID 19 and compares two models, the Chinese and the Slovenian. The portal www.razlagamo.si offers asynchronous video explanations that allow the learner to manage time independently and supportive conversations in which students synchronously, i...

V prispevku podamo trenutno stanje znanstvenih ugotovitev o obrnjenem učenju v krizni situaciji in primerjamo dva modela, kitajskega in slovenskega. Marca 2020 je izšel priročnik, ki opisuje kitajsko izkušnjo o tem kako zagotavljati učenje tudi med izbruhom COVID-19. V Sloveniji je konec marca zaživelo gibanje Razlagamo.si, ki ponuja asinhrone (vna...

Homework is a complex phenomenon whose effectiveness is influenced by many factors. We examined several characteristics of mathematical homework and their connections with pupils' knowledge. The survey was conducted in Slovenia on a sample of 192 pupils of the first three years of the elementary education. Based on the obtained results, we conclude...

Empirical research, which examines the relationship between mathematical achievement of elementary school students and mathematics homework assignments, gives inconsistent results. We present the results of the cross-cultural study (N = 1061) with 12-15 years old students from Slovenia, Croatia and Slovakia. The results show that homework frequency...

In Slovenia, self-contained instruction system is applied, where elementary teacher (so called class teacher) teaches all school subjects until 5 th grade, including mathematics. In order to gain some insight into class teachers' perceptions regarding teaching mathematics, we analysed reflections written by student teachers (N = 205). They reflecte...

Na poučevanje geometrijskih konceptov lahko pozitivno vpliva uporaba programov za dinamično geometrijo. Eden takšnih programov je GeoGebra. Gre za prosto dostopno aplikacijo, ki združuje komponente geometrije, algebre in analize. Na voljo je v slovenskem jeziku. Možnosti uporabe GeoGebre zajemajo številne matematične vsebine. Med drugim lahko tako...

This volume contains the papers presented at the International Conference on Theory and Practice: An Interface or A Great Divide? and held from August 4-9, 2019 at Maynooth University, Kildare, Ireland. The Conference was organized by The Mathematics Education for the Future Project – an international educational project founded in 1986 and dedicat...

Im Fremdsprachenunterricht werden auch Inhalte unterrichtet, die für Lernende keine kognitiven Herausforderungen darstellen, weil sie zu einfach sind und damit ihrer kognitiven Entwicklung nicht angepasst werden. Dieses Phänomen benennen wir kognitive Erniedrigung. Es ist ein häufiges Phänomen, wovon anscheinend besonders die nichtenglischen Fremds...

V prispevku so prikazane nekatere manj znane igre, ki služijo utrjevanju dejstev poštevanke. Najprej je pojasnjen metodični postopek, ki vodi do priklica tistih dejstev, ki jih učenci morajo avtomatizirati. V nadaljevanju so podrobneje opisane igre, s katerimi lahko drilamo le eno poštevanko, tiste, ki so namenjene drilu večih poštevank hkrati, in...

Students solving mathematical problems on a blackboard are everyday routine in Slovenian classrooms. On the other hand, it is commonly known that students often feel this situation as threatening. In order to highlight this phenomenon Slovenian elementary pre-service teachers (N=242) filled out an internet questionnaire about preferred teaching tec...

Domaća zadaća je kompleksna pojava čija djelotvornost je pod utjecajem mnogih čimbenika. U radu ćemo se usredotočiti na neke od čimbenika školskog i kućnog okruženja, te ispitati njihov utjecaj na matematička postignuća učenika u posljednjim trima godinama osnovne škole. Predstaviti ćemo rezultate dobivene na uzorku od 1061 učenika iz Slovenije, Hr...

Measurement estimation is an important skill in daily life and it is unavoidable during formal education. In this paper, we discuss the use of the reference point strategy, which can help us estimate a measure of each quantity and it also has many advantages in comparison to other measurement estimation strategies. Based on a survey of students age...

Knowing one's own level of knowledge is an important characteristic of an individual. It enables individuals to objectively evaluate their abilities and properly adapt to their advantages and disadvantages. In this paper, we present the results of the empirical research, where pre-service teacher students had to perform self-assessment after their...

Visual representations are an important part of learning mathematics and also a good indicator of mathematical knowledge of students. This paper presents the results of research conducted with 1272 students, aged between 10 and 12 years. Students were asked to provide a drawing depicting numerical expressions 3/5 of 15 and 2^3. The data were analys...

Previous studies suggest that parental involvement in children’s mathematics education is more established for parents who feel competent in mathematics. This qualitative study aimed to gain an in-depth insight into the experiences of parental involvement of two different groups of parents: those who are mathematicians and those who are not. Data w...

Vizualne reprezentacije omogočajo osmišljanje pomena matematičnih pojmov, odnosov in procesov, zato imajo pomembno vlogo pri pouku matematike. V predstavljeni raziskavi smo pri udeležencih preučevali razumevanje osnovnih matematičnih pojmov s pomočjo risb. Pojem je bil podan v simbolni obliki (npr. 17 - 9), udeleženci pa so ga morali prikazati z ri...

Povzetek. Matematične probleme lahko rešujemo z večjim poudarkom na odgovoru ali z večjim poudarkom na postopku reševanja. Učenci s specifičnimi učnimi težavami so večinoma normalno (lahko tudi nadpovprečno) inteligentni. Zato jim pristopi, ki vsebini zmanjšajo zahtevnost, lahko škodijo. V prispevku predstavimo nekaj aktivnosti, za katere je poziti...

Interaktivni konceptualni apleti v I-učbeniku kot mediator problemskih znanj Alenka Lipovec¹ alenka.lipovec@uni-mb.si, Igor Pesek² igor.pesek@uni-mb.si, Blaž Zmazek², blaz.zmazek@uni-mb.si, Darja Antolin¹ darja.antolin@uni-mb.si ¹ Pedagoška fakulteta Maribor, Univerza v Mariboru ² Fakulteta za naravoslovje in matematiko, Univerza v Mariboru Povzete...

This article presents the findings of the evaluation of an i-textbook for mathematics in the 4th grade of elementary school. The evaluation is based on a pedagogical experiment (N=49), where the experimental factor was the use of an i-textbook within a blended learning. The results are important because they provide a more objective picture of the...

Iconic representations of mathematical concepts at elementary level are in most cases graphical with this study we wanted to examine how elementary school pupils. 5th-8th grader, (N - 1.959) graphically represent certain mathematical concepts (subtraction, numerical expressions with parentheses, the arithmetic aspect of fraction and exponentiation)...

In the geometry research we operate with mental entities, which contain an image as an essential component. This helps us in thinking, but it often does not coincide with the formal definition. In many cases, flat shapes are represented only with a curve, a boundary, and not as a part of the plane, which can lead to a false conception of flat shape...

In this article we apply narrative methodology to the study of pre-service elementary teachers' school-time memories connected to mathematics education. In the first phase of our empirical study we asked 214 Slovenian pre-service teachers to write their mathematical autobiographies. On the basis of the mathematical autobiographies we constructed a...

This paper presents the results of longitudinal empirical research, which was designed as combination of qualitative narrative and quantitative methodology (N=104), are presented. The research has indicated that the locus of control and focus of preservice primary teachers can be changed through various forms of their education. After a year, signi...

Students solving mathematical problems on a blackboard are everyday routine in Slovenian classrooms. On the other hand, it is commonly known that students often feel this situation as threatening. In order to highlight this phenomenon Slovenian elementary pre-service teachers (N=242) filled out an internet questionnaire about preferred teaching tec...

An important factor in the education of pre-service teachers is their preparation for effective teaching. It is unrealistic to expect graduates to enter the classroom as expert teachers. Our goal is to show the challenges they will be exposed to. An important competence of every teacher is unpacking learning goals into sub-concepts, which represent...

P o v z e t e k V prispevku so predstavljene možnosti uporabe spletne učilnice pri matematiki v okviru izobraževanja bodočih učiteljev razrednega pouka. V empiričnem delu prispevka so podani rezultati raziskave, katere namen je bil preveriti mnenja študentov o uporabi spletne učilnice ter o spletnih domačih nalogah. V raziskavi je sodelovalo 242 št...

In the last two decades investigation of teachers’ beliefs and conceptions and teachers‘possibilities for change has been one of the points of emphasis in mathematics education. We propose the concept and design of an intervention program including five stakeholders on the basis of a teacher–student–parent–preservice teacher–teacher educator relati...

In this paper it is shown that a class of almost-median graphs that includes all planar almost-median graphs can be recognized in O(mlogn) time, where n denotes the number of vertices and m the number of edges. Moreover, planar almost-median graphs can be recognized in linear time. As a key auxiliary re- sult we prove that all bipartite outerplanar...

IZVLEČEK: Predstavljen je koncept eksperimentalnega programa, ki povezuje mlajše matematično sposobnejše učence, njihove starše in razredne učitelje z bodočimi učitelji v prvih dveh triadah osnovne šole in didaktiki matematike. Vodilni razlog za izgradnjo koncepta, imenovanega Didaktični petkotnik, je potreba po kvalitetnem izobraževanju razrednih...

Partial cubes are, by definition, isometric subgraphs of hypercubes. Cubic inflation is an operation that transforms a 2-cell embedded graph G into a cubic graph embedded in the same surface; its result can be described as the dual of the barycentric subdivision of G. New concepts of mirror and pre-mirror graphs are also introduced. They give rise...

All cubic partial cubes (i.e., cubic isometric subgraphs of hypercubes) up to 30 vertices and all edge-critical partial cubes up to 14 vertices are presented. The lists of graphs were confirmed by computer search to be complete. Non-trivial cubic partial cubes on 36, 42, and 48 vertices are also constructed.

Isometric subgraphs of hypercubes are known as partial cubes. Edge-critical partial cubes are introduced as the partial cubes G for which G-e is not a partial cube for any edge e of G. An expansion theorem is proved by means of which one can generate many edge-critical partial cubes. Edge-critical partial cubes are characterized among the Cartesian...

Isometric subgraphs of hypercubes are known as partial cubes. The subdivision graph of a graph G is obtained from G by subdividing every edge of G. It is proved that for a connected graph G its subdivision graph is a partial cube if and only if every block of G is either a cycle or a complete graph. Regular partial cubes are also considered. In par...

Graphs which can be represented as nontrivial subgraphs of Cartesian product

A b s t r a c t The term e-textbook has not been defined either in Slovenia or elsewhere so far. This document presents the definition of basic characteristics of the content, didactical, technically useful and organizational aspect of an e-textbook creation, mostly based on experiences and good practice. Literature and other digital media mostly r...