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We consider groups defined by non-empty balanced presentations with the property that each relator is of the form, where x and y are distinct generators and is determined by some fixed cyclically reduced word that involves both a and b. To every such presentation we associate a directed graph whose vertices correspond to the generators and whose arcs correspond to the relators. Under the hypothesis that the girth of the underlying undirected graph is at least 4, we show that the resulting groups are non-trivial and cannot be finite of rank 3 or higher. Without the hypothesis on the girth it is well known that both the trivial group and finite groups of rank 3 can arise.
The different facets of professional performance of teachers are being debated in the current educational
research discussion. Both qualitative and quantitative test constructions exist for vignette-based measurement of
competence. For economic reasons, a procedure with closed-ended items is often favored, a reference is required for
determining and comparing alternative responses. This paper sketches out the procedure for identifying adequate
reactions to responses that we call a technical education expert norm (PCK-T). This expert norm is generated from
a multi-step expert survey and, in addition, reveals possible validation steps that can be derived for developing
teaching situations. After a content validation (N1 = 8) a multi-step quantitative survey with specialised subject
experts at schools and universities, departmental heads at public colleges for education and teacher training, as well
as experienced teachers of technology was carried out (N2 = 79; N3 = 76). In order to assess teaching competencies
of pre-service teachers using a vignette-based test procedure, the generated technical education expert norm (PCKT) allows adequate responses to be differentiated from (rather) inadequate responses in the teaching situations
Technology criticism and data literacy: The case for an augmented understanding of media literacy
(2020)
Reviewing the history of media literacy education might help us to identify how creating media as an approach can contribute to fostering knowledge, understanding technical issues, and to establishing a critical attitude towards technology and data. In a society where digital devices and services are omnipresent and decisions are increasingly based on data, critical analysis must penetrate beyond the “outer shell” of machines – their interfaces – through the technology itself, and the data, and algorithms, which make these devices and services function. Because technology and data constitute the basis of all communication and collaboration, media literate individuals must in the future also have a sound understanding of technology and data literacy. This article examines the relevance of this broader definition of literacy and delivers a forward-looking defense of media literacy education in schools. It also posits the thesis that the digital transformation represents a challenge, which is confronting society, politics, and education alike.
When “software takes command”, people take fright – a reaction which frequently accompanies change or novelty. Their fears are understandable, but they also cloud people’s view of the potentials that digital tools and digital media hold for society and especially educational contexts. Their fears also define societal debates and contribute to a general lack of ambition when it comes to seizing the opportunities for broad collaboration in the design of a “digital society”. This paper identifies a selection of conceptual digital potentials, presents the initial findings of an ongoing study and uses these as a basis to formulate recommendations for reclaiming society’s formative authority over the shape of the digital in its midst.
Although raised in the early days of research on teacher noticing, the question of context specificity has remained largely unanswered to this day. In this study, we build on our prior research on a specific aspect of noticing, namely teachers’ analysis of how representations are dealt with in mathematics classroom situations. For the purpose of such analysis, we examined the role of context on the levels of mathematical content area and classroom situation. Using a vignette-based test instrument with 12 classroom situations from the content areas of fractions and functions, we investigated how teachers’ analyses regarding the use of representations are related concerning these two mathematical content areas. Beyond content areas, we were interested in the question of whether an overarching unidimensional competence construct can be inferred from the participants’ analyses of the different individual classroom situations. The 12 vignettes were analysed by N = 175 secondary mathematics teachers with different degrees of teaching experience and their written answers provided the data for this study. Our findings show that the data fit the Rasch model and that all classroom situations contributed in a meaningful way to the competence under investigation. There was no significant effect of the mathematical content area on the participants’ analyses regarding the use of multiple representations. The results of the study indicate that explicitly considering questions of context can strengthen research into teacher noticing.
The article analyses the strategies of Hungarian higher education interest organisations against the encroachments on academic freedom by Viktor Orbán's governments. We contrast the 2012–2013 and 2017–2019 protest waves and find that innovations in strategy came from new organisations in both periods, whereas established ones were rather passive or opted for the status quo. However, in the second period, new actors consciously declined to pursue wider systemic goals and aimed at building up formal organisations instead of loose, movement-like networks. The focus on keeping a unified front and interest representation on the workplace level did not change the overall outcome. Just like during the first period, the government was able to reach its goals without major concessions. Nevertheless, during the second protest wave the government was unable to divide and pacify its opponents, which stripped it of its legalistic strategy and revealed its authoritarianism.
This article presents an analysis of the formation of organized interest groups in the post-communist context and organizational populations over time. We test two theories that shed doubt on whether vital rates of interest groups are explained by individual incentives, namely, the political opportunity structure and population ecology theory. Based on an analysis of the energy policy and higher education policy organizations active at the national level in Hungary, Poland, and Slovenia, we find that while the period of democratic and economic transition indeed opened up the opportunity structure for organizational formations, it by no means presented a clean slate. Communist-era successor and splinter organizations survived the collapse of communism, and all three countries entered transition with relatively high density rates in both organizational populations. We also find partial support for the density dependence hypothesis. Surprisingly, the EU integration process, the intensity of legislative activity, and media attention do not seem to have meaningfully influenced founding rates in the two populations
In this text, the findings of cognitive psychology will be used to tackle certain misconceptions in academic philosophical learning contexts. It will be shown that some techniques that university teachers often recommend and on which students often rely on for working on texts and acquiring the contents of them and other contents – like for example highlighting, notetaking, and summarization – are not that effective for long-term retention. At least not if some aspects are not considered. The aim is to show what empirical research has found out about effective learning and how this can help to create tasks that foster long-term retention of philosophical contents which also helps with training higher-order skills such as applying, reflecting, evaluating, and modifying these contents.
Competent use of the Internet to locate information is an important skill for today’s youth. Yet, many lack the knowledge and dispositions to engage in the processes necessary to effectively and efficiently find information on the Internet. As a result, various countries have incorporated references to the processes of online inquiry within their educational standards. Despite similarities in these standards, however, international comparisons are rare and have not produced insights into broader themes and patterns regarding how cognitive, metacognitive, and affective variables interact to influence outcomes on related measures of success, e.g., international assessments. The purpose of this research was two-fold: to examine the measurement invariance of a German-language version of the Survey of Online Reading Attitudes and Behaviors across a sample of participants from Germany and to compare the results with students from United States who completed the English-version of SORAB. The results justified comparisons across the samples with respect to the latent factor variables and comparisons yielded differences associated with cognitive and behavioral engagement, value/interest, and anxiety. No differences were noted with regard to self-regulation and efficacy for online reading. Implications are framed within broader contextual variables that may have been influential in producing the differences between the samples.
Leading Schools towards Sustainability. Fields of Action and Management Strategies for Principals.
(2020)
Education is expected to support the development of a more sustainable way of thinking, working, and living. Although there is a broad range of literature on Education for Sustainable Development (ESD), the role of principals in the implementation of sustainability and ESD in schools has rarely been taken into consideration. However, based on the results of school effectiveness research, one can assume that school principals exert a significant influence on ESD. Sustainability is a leadership issue. When a school aims at integrating sustainability and ESD, the principal plays a pivotal role. She or he has to support the endeavor wholeheartedly and credibly, organize a participative process of school development, emphasize sustainability and ESD in the daily life of the school, support teaching staff in the application of ESD, and offer students opportunities to launch their own initiatives. This article for the special issue on “Sustainability in leadership and education” is a theoretical concept paper based on a literature review and the authors’ conceptual work. It offers a model and seeks to support principals in leading their schools towards sustainability. Therefore, a framework of four stages of the integration of sustainability and ESD in a school is defined. For each of these stages, a number of practical actions and management strategies are suggested and explained in detail.