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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.
This volume is largely about nontraditional data; this paper is about a nontraditional visualization: classification trees. Using trees with data will be new to many students, so rather than beginning with a computer algorithm that produces optimal trees, we suggest that students first construct their own trees, one node at a time, to explore how they work, and how well. This build-it-yourself process is more transparent than using algorithms such as CART; we believe it will help students not only understand the fundamentals of trees, but also better understand tree-building algorithms when they do encounter them. And because classification is an important task in machine learning, a good foundation in trees can prepare students to better understand that emerging and important field. We also describe a free online tool—Arbor—that students can use to do this, and note some implications for instruction.
The saving of previously encoded information boosts both memory for subsequent information (saving-enhanced memory; SEM) as well as cognitive performance in general (saving-enhanced performance; SEP). These findings have been replicated in a setting that involves the assistance by an intelligent software that automatically structures and saves work content in an interactive sidebar. It is assumed that beneficial effects on cognitive performance due to (automatic) saving are caused by a reduction in current workload by means of cognitive offloading. We tested this assumption by measuring neural activity in the dorsolateral prefrontal cortex (DLPFC) via functional near infrared spectroscopy (fNIRS)—once after saving and once after deleting of previously collected information that had to be recalled later-on. On a behavioral level, there was a brief benefit of saving. However, cognitive offloading became most apparent on a neural level: after saving, participants showed significantly lower activation in the right DLPFC. Also, the more participants benefited from cognitive offloading, the more they were able to re-access previously collected, saved information. Thus, fNIRS results indicated reduced mental load after saving, confirming the assumption that saving triggers cognitive offloading.
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
In this study, the relationship between religiosity and value priorities is differentiated, based on a multidimensional model of religiosity (Structure-of-Religiosity-Test). The structure of values is conceptualized using Shalom H. Schwartz’s two orthogonal dimensions of self-transcendence vs. self-enhancement and openness to change vs. conservation. The relationship between these two dimensions and the centrality of religiosity, seven religious orientations, seven emotions toward God, and three political orientations were tested with a correlational analysis in a sample of members of Abrahamic religions, the non-denominational, and organized secularists in Switzerland (n = 1093). The results show, that different values are preferred (self-direction, universalism, benevolence, tradition, security, and power values) depending on the content of the religious orientations and emotions toward God. The results indicate the importance of the content of religious orientations and emotions for predicting value-loaded behaviors.
Research has identified 10 high-leverage teaching practices (HLTPs) that can impact student learning of a foreign language. While acknowledging the importance of this work, more research is needed to inform the preparation of novice teachers to enact these practices. In response, the researchers conducted a case study involving two foreign language teacher preparation programs in the United States and Germany, to better understand how the two very different programs prepare their candidates to implement HLTPs, which HLTPs are emphasized, and how successful they are at preparing their aspiring teachers to implement one practice that has been identified in the research as particularly important (facilitating target language comprehensibility). Survey, teaching observation, and interview data collected from teacher candidates and their instructors suggested the critical nature of select HLTPs, that some of the subcomponents of one of these practices may be more challenging for novice teachers to master than others, and that there may be multiple approaches to preparing foreign language teachers to implement HLTPs.
The article raises the question of whether and how education systems produce social differences internally rather than reproducing pre‐existing “external” inequalities. Linking Niklas Luhmann’s theory of inclusion/exclusion with Charles Tilly’s theory of categorical inequalities, and based on empirical data from various qualitative studies, the article identifies an “observation regime” epistemically constituting the social classification of students and legitimising organisational closure mechanisms in the school system. As an alternative to the “reproduction paradigm,” a research approach guided by differentiation theory is proposed that takes into account that educational inequality operationally arises on the “inside” of the educational system and is caused by unequal inclusion processes.
Females and students of non-dominant ethnicity are less likely to aspire to science careers. However, overcoming discrimination in science and chemistry is a challenging task, especially in vocational orientation. Thus, there is a need for strategies to support young women in their identity formation in science and chemistry. This article presents a scheme for supporting young women’s science identity formation in conversations about vocational orientation. The goal is to support young women in developing a positive attitude towards careers in chemistry. This attitude is part of cultural chemistry capital. The scheme was developed based on a study conducted as part of the project DiSenSu. Here, coachings for vocational orientation for young women in science and chemistry are provided, following the idea of Science in Public. In the coaching, the attitudes towards science and chemistry were determined using quantitative data. Based on these results, coaches conducted conversations with the participants. Qualitative analysis of 11 conversations revealed strategies coaches used to support young women in their vocational orientation. The study shows how the participants’ attitude towards careers in chemistry is used as a starting point for coachings. Also, it provides strategies that can be used to promote young women’s cultural chemistry capital.
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.