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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 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 notion of “bounded rationality” was introduced by Simon as an appropriate framework for explaining how agents reason and make decisions in accordance with their computational limitations and the characteristics of the environments in which they exist (seen metaphorically as two complementary scissor blades).We elaborate on how bounded rationality is usually conceived in psychology and on its relationship with logic. We focus on the relationship between heuristics and some non-monotonic logical systems. These two categories of cognitive tools share fundamental features. As a step further, we show that in some cases heuristics themselves can be formalized from this logic perspective. We have therefore two main aims: on the one hand, to demonstrate the relationship between the bounded rationality programme and logic, understood in a broad sense; on the other hand, to provide logical tools of analysis of already known heuristics. This may lead to results such as the characterization of fast and frugal binary trees in terms of their associated logic program here provided.
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.
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.
For some people with strong motor impairments, controlling a computer with theeyes is the only possibility for human-computer interaction. In addition, gaze controlis becoming a new option as an input device for the general population as wellbecause of the increasing availability of eye-tracking technology. Yet, little is knownabout additional cognitive demands involved in gaze control and how to handlepotentially high demands when using the eyes not only for perception but also foraction. The present study shows that cognitive offloading improves performancewhen using gaze control. Memory for to-be-studied items benefitted significantlyfrom saving another set of items just studied before for later restudy. Employing cog-nitive offloading in a targeted manner may be a useful means to assist in mastering eye-gaze control.
We report on a study on syllogistic reasoning conceived with the idea that subjects' performance in experiments is highly dependent on the communicative situations in which the particular task is framed. From this perspective, we describe the results of Experiment 1 comparing the performance of undergraduate students in 5 different tasks. This between-subjects comparison inspires a within-subject intervention design (Experiment 2). The variations introduced on traditional experimental tasks and settings include two main dimensions. The first one focuses on reshaping the context (the pragmatics of the communication situations faced) along the dimension of cooperative vs. adversarial attitudes. The second one consists of rendering explicit the construction/representation of counterexamples, a crucial aspect in the definition of deduction (in the classical semantic sense). We obtain evidence on the possibility of a significant switch in students' performance and the strategies they follow. Syllogistic reasoning is seen here as a controlled microcosm informative enough to provide insights and we suggest strategies for wider contexts of reasoning, argumentation and proof.
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.
A crucial aspect of learning about (linear) functions is being able to change between graph and equation. Common German and Slovak textbooks propose different procedures for these representational changes. Within a sample of 49 German and 56 Slovak teachers, we analyzed if these different procedures can also be observed in the teachers’ corresponding knowledge of content and students, i. e. if the teachers expected different student strategies and errors. The results confirm this assumption and emphasize the importance to consider this teacher's knowledge in a country-specific way and being careful when comparing such knowledge of teachers from different countries.