Mathematics is well known as a subject area where there can be problems in terms of understanding as well as retaining positive attitudes. In a large study involving 813 school students (ages approximately 10-12) drawn from two different school systems in Pakistan, the effect of limited working memory capacity on performance in mathematics was explored along with a survey of areas of difficulty and student attitudes. This involved looking at student perceptions of their experiences, the nature of the difficulties they have with mathematics and possible reasons for these difficulties. The overall aim is to explore the extent of the effect of working memory and to gain insights so that practical ways forward to enhance mathematics education can be identified. It was found that limited working memory capacity has a very strong influence on performance, confirming other studies. Indeed, if the cognitive load exceeds the capacity of working memory, understanding becomes a casualty, with consequent attitude deterioration. Students need to be able to see that mathematics has a purpose in being able to be applied to real-life situations. However, attempts to develop applications may often generate further working memory overload. Curricula devised by those outside the classroom can sometimes be inappropriate while topics causing the greatest problems at these ages and include areas of geometry, statistics and the applications of mathematics.

It is important for pre-service teachers to know the conceptual difficulties they have experienced regarding the concepts of multiplication and division in fractions and problem posing is a way to learn these conceptual difficulties. Problem posing is a synthetic activity that fundamentally has multiple answers. The purpose of this study is to analyze the multiplication and division of fractions problems posed by pre-service elementary mathematics teachers and to investigate how the problems posed change according to the year of study the pre-service teachers are in. The study employed developmental research methods. A total of 213 pre-service teachers enrolled in different years of the Elementary Mathematics Teaching program at a state university in Turkey took part in the study. The “Problem Posing Test” was used as the data collecting tool. In this test, there are 3 multiplication and 3 division operations. The data were analyzed using qualitative descriptive analysis. The findings suggest that, regardless of the year, pre-service teachers had more conceptual difficulties in problem posing about the division of fractions than in problem posing about the multiplication of fractions.

In our current society, Digital Competence is an essential and basic competence for teachers. The students need trained teachers who know how to use Information and communication technologies (ICTs) and develop them into pedagogy. However, some of them do not know how. This phenomena is called “The generational digital divide”, which occurs when teachers do not have sufficient digital or technological skills or do not adapt to them. This article aims to determine whether the age of teachers has an influence on their knowledge about Information and Communication Technologies. The objective is to detect if there really exists a digital gap between generations, specifically in Dual Vocational Education Training, a kind of education which has been growing in the recent years. To do so, a study with a quantitative and descriptive method has been carried out, with the participation of 1.568 teachers of this training modality in the Autonomous Community of Andalusia. The data were extracted by means of a questionnaire to measure the level of digital teaching competence in Dual Vocational Education and Training schools. The results showed that the level of digital competence shown was medium to low across all dimensions. With regard to the age factor, only the problem-solving dimension was found to be age-dependent.

The article deals with mathematical literacy in relation to mathematical knowledge and mathematical problems, and presents the Slovenian project NA-MA POTI, which aims to develop mathematical literacy at the national level, from kindergarten to secondary education. All of the topics treated represent starting points for our research, in which we were interested in how sixth-grade primary school students solve non-contextual and contextual problems involving the same mathematical content (in the contextual problems this content still needs to be recognised, whereas in the non-contextual problems it is obvious). The main guideline in the research was to discover the relationship between mathematical knowledge, which is the starting point for solving problems from mathematical literacy (contextual problems), and mathematical literacy. The empirical study was based on the descriptive, causal and non-experimental methods of pedagogical research. We used both quantitative and qualitative research based on the grounded theory method to process the data gathered from how the participants solved the problems. The results were quantitatively analysed in order to compare the success at solving problems from different perspectives. Analysis of the students’ success in solving the contextual and non-contextual tasks, as well as the strategies used, showed that the relationship between mathematical knowledge and mathematical literacy is complex: in most cases, students solve non-contextual tasks more successfully; in solving contextual tasks, students can use completely different strategies from those used in solving non-contextual tasks; and students who recognise the mathematical content in contextual tasks and apply mathematical knowledge and procedures are more successful in solving such tasks. Our research opens up new issues that need to be considered when developing mathematical literacy competencies: which contexts to choose, how to empower students to identify mathematical content in contextual problems, and how to systematically ensure – including through projects such as NA-MA POTI – that changes to the mathematics curriculum are introduced thoughtfully, with regard to which appropriate teacher training is crucial.

This research is motivated by a linear equations system, which is the basis for studying necessary linear algebra materials, such as rank, range, linear independent/dependent, linear transformations, characteristic values and vectors. There are still prospective mathematics teachers who have difficulty solving linear equations system and understanding the form of row echelon and reduced row echelon forms. In this study, subjects were three prospective mathematics teachers from Swadaya Gunung Jati University Cirebon who were taking matrix algebra courses. This study aims to reveal the conceptual understanding of prospective mathematics teachers in determining the solution to systems of linear equations. The results show that there are still prospective mathematics teachers who only use memory about the properties and procedures in determining whether a matrix is said to be a row echelon form or a reduced row echelon form. Then, there is still weakness in building the algorithms' relationship due to the immature knowledge of the concepts. Researchers found that many prospective mathematics teachers were more comfortable solving problems that were performed procedurally. Further research is needed to determine how the mental construction process and mathematical conceptual knowledge of prospective mathematics teachers are through meaningful learning so that conceptual understanding is maximized.

Teachers´ life-long learning and occupational well-being is significant in promoting educational goals and professional development. The aim of the study was to determine which factors contribute to teacher educators´ commitment to work and give them energy for work and self-development. The research data consisted of 24 teacher educators in Oulu University of Applied Sciences. The research method of this case study was a qualitative, thematic content analysis, the research approach phenomenography. The most important single factor seemed to be the community of teachers, students and the administrative staff which are included in dialogue and collaboration. Emotions, meaningfulness, and interaction play an important role, often via pedagogical fellowship. Committed teacher educators take responsibility for workplace culture and transformation of teaching. Positive attitudes, motivation, reflection, and dialogue seem to be connected to professional capability and the ethos of teacher educators´ work.

This research aims to determine second-year university students’ understanding in interpreting and representing fractions. A set of fraction tests was given to students through two direct learning interventions. An unstructured interview was used as an instrument to obtain explanations and confirmations from the purposive participants. A total of 112 student teachers of primary teacher education program at two private universities in Indonesia were involved in this research. A qualitative method with a holistic type case study design was used in this research. The results indicate that a significant percentage of the participants could not correctly interpret and represent fractions. In terms of interpretation, it is found how language could obscure the misunderstanding of fractions. Then, the idea of a fraction as part of a whole is the most widely used in giving meaning to a fraction compared to the other four interpretations, but with limited understanding. Regarding data representation, many participants failed to provide a meaningful illustration showing the improper fraction and mix number compared to the proper fraction. Improvement of fraction teaching at universities - particularly in primary teacher education programs - is needed so that students get the opportunity to develop and improve their knowledge profoundly. We discuss implications for teaching fractions.

Multiculturalism in the school environment is challenging for all educational systems. This study examines the effect of multicultural school leadership on multicultural teacher culture and determines mediating effects of multicultural inspiration, personality, and attitude. A quantitative research approach using a cross-sectional survey was used for this study. The population and sample of this study were school principals and high school teachers in Central Java Province, Indonesia. The participants were a total of 357 individuals. Data analysis was done by structural equation modeling (SEM) using the software AMOS 24. The results show that multicultural school leadership directly influences multicultural teacher culture. This study also highlights multicultural inspiration, multicultural personality, and multicultural attitude as factors that mediate the effect of multicultural school leadership on multicultural teacher culture. This study makes a practical and theoretical contribution, especially by providing data to support the improvement of multicultural teacher culture and the importance of multicultural leadership of school leaders in influencing these factors through multicultural inspiration, personality, and attitude.

The study focused on generational differences in teachers’ professional competencies (interaction styles, teaching styles and didactic competencies) and motivation for the teaching profession. A total of 462 teachers (20 students with at least a bachelor’s degree; age: M = 43.36, SD = 11.05) participated in the study. The Questionnaire on Teacher Interaction (Slovak version), the Slovak Teaching Style Questionnaire, the Didactic Competencies Questionnaire and the Scale of Motivations for Choosing Teaching as a Career were administered. Teachers were divided into generations (Baby Boomers, born up through 1964; Generation X, born 1965 – 1980; Generation Y, born 1981 – 1996; Generation Z, born 1997 and later). The main finding of the study was that there were significant generational differences in professional competencies but no differences in motivation for the teaching profession. On the other hand, there were strong preferences for the leadership, helpful, student-teacher responsibility, understanding interaction styles and the supporting teaching style. Baby Boomers were also knowledge-oriented, Generations X and Y also goal-oriented, and Generation Z also preferred a managerial style. From didactic competencies, Baby Boomers were best in self-reflection and the realization of teaching; Generations X and Y were best in self-reflection and maintaining a positive classroom climate, and Generation Z was good in the realization of teaching.

In this article, we present the results of empirical research using a combination of quantitative and qualitative methodology, in which we examined the achievements and difficulties of sixth-grade Slovenian primary school students in decimal numbers at the conceptual and procedural knowledge level. The achievements of the students (N = 100) showed that they statistically significantly (z = -7,53, p < .001) better mastered procedural knowledge (M = 0.60, SD = 0.22) than conceptual knowledge (M = 0.37, SD = 0.17) of decimal numbers. Difficulties are related to both procedural and conceptual knowledge, but significantly more students have difficulties at the level of conceptual knowledge. At the level of procedural knowledge, or in the execution of arithmetic operations with decimal numbers, we observed difficulties in transforming text notation into numerical expressions, difficulties in placing the decimal point in multiplication and division, and insufficient automation of mathematical operations with decimal numbers. At the level of conceptual knowledge of decimal numbers, the results indicate difficulties for students in understanding the place values of decimal numbers, in estimating the sum, product and quotient of decimals with reflection and in mathematical justification. In relation to difficulties in justification, we observed an insufficient understanding of the size relationship between decimal numbers and difficulties in expressing them in mathematical language. The results indicate that to overcome such difficulties in the learning and teaching of mathematics, more balance between procedural and conceptual knowledge is needed.

This integrative literature review aims to provide a broader and updated perspective of teachers’ intergenerational learning (IL). The search was done in Web of Science and EBSCO ultimate  databases between 2011 and 2022. Thirty-two empirical studies were selected and submitted to a thematic analysis and five themes were identified: (a) defining and conceptualising generation, (b) IL from understandings to practices, (c) contexts, factors and roles from different generations and institutions to promote IL, (d) factors that facilitate the success of IL, and (e) factors that make IL difficult. Data shows an increase in the last decades of research in IL within the educational context, but an absence of the prospective dimension still prevails. Intergenerational knowledge has been researched mainly from an individual professional perspective at the micro and meso levels of scholarship. Effectiveness requires intentional cultivation and a genuine desire for intergenerational knowledge exchange, involving active engagement and awareness among diverse generations and alignment with organizational aims. The promotion of IL takes place in very different ways and forms, and reflection on what is different seems to be a dominant trait. Furthermore, the review could conclude that intergenerational opportunities to work together will improve teacher education and continuous professional development.