Using order to reason about negative numbers: the case of Violet

This case study illustrates how a 2nd-grade child, Violet, used an ordinal view of number to reason about positive and negative integers and arithmetic involving integers. Violet’s ordinal view of number facilitated her ability to reason about and correctly solve some integer-related problems and constrained her solutions to others. We demonstrate how Violet’s thinking evolved over time while she extended the properties of whole numbers and addition and subtraction to the integers. Using this case study as a basis, we propose a series of developmental milestones that build toward one’s understanding of integers and integer arithmetic in an order-based way. We believe that understanding Violet’s order-based reasoning can help us listen to other children.     

Teacher students’ dilemmas when teaching science through inquiry

Background: Inquiry-based science education (IBSE) is suitable to teach scientific contents as well as to foster scientific skills. Similar conclusions are drawn by studies with respect to scientific literacy, motivational aspects, vocabulary knowledge, conceptual understandings, critical thinking, and attitudes toward science. Nevertheless, IBSE is rarely adopted in schools. Often barriers for teachers account for this lack, with the result that even good teachers struggle to teach science as inquiry. More importantly, studies indicate that several barriers and constraints could be ascribed to problems teacher students have at the university stage.

Purpose: The purpose of this explorative investigation is to examine the problems teacher students have when teaching science through inquiry. In order to draw a holistic picture of these problems, we identified problems from three different points of view leading to the research question: What problems regarding IBSE do teacher students have from an objective, a subjective, and a self-reflective perspective?

Design &; method: Using video analysis and observation tools as well as qualitative content analysis and open questionnaires we identified problems from each perspective.

Results: The objectively stated problems comprise the lack of essential features of IBSE especially concerning ‘Supporting pupils’ own investigations’ and ‘Guiding analysis and conclusions.’ The subjectively perceived problems comprise concerns about ‘Teachers’ abilities’ and ‘Pupils’ abilities,’ ‘Differentiated instruction’ and institutional frame ‘Conditions’ while the self-reflectively noticed problems mainly comprise concerns about ‘Allowing inquiry,’ ‘Instructional Aspects,’ and ‘Pupils’ behavior.’

Conclusions: Each of the three different perspectives provides plenty of problems, partially overlapping, partially complementing one another, and partially revealing completely new problems. Consequently, teacher educators have to consider these three perspectives.     

The market value of R&D, patents, and trademarks

This paper investigates the effects of trademarks on the market value of firms. The results show that trademarks have a positive effect on firm value. Next, the firms’ market values are regressed on indicators of trademark value such as trademark seniorities, the number of oppositions filed, and the number of product and services classes covered. We found that they at least partially reflect trademark value.     

Tennis serve performances at break points: Approaching practice patterns for coaching

Tennis comprises specific match situations when winning the next point is crucial. These big points can decide about a win or loss and, thus, reasonably arouse mental stress. Break points (BPs) are considered as big points and the outcome is influenced by, among a variety of other factors, the serve, which is well accepted being one of the dominant strokes in Men’s tennis. In this study, we examined the serve behaviour for male players in the Wimbledon tournament 2016 to investigate the possible impacts of presumed mental stress within the situation of BPs, and further, if winning players perform better than losing players. A total of 28.843 points were analysed and divided into BP (n?=?2.035) and non-break points – referred to as regular points (RP; n?=?26.808).     

Der Einfluss von aufmerksamkeitslenkenden Instruktionen auf das Erlernen einer Schlagbewegung im Golf

Among other things instructions serve the purpose of directing the recipient’s attentional focus. Several studies have demonstrated the advantage of an attentional focus away from one’s body (external) and towards the effect of the movement over an attentional focus on the movement itself (internal). In contrast, other studies have shown that the advantage of an external focus cannot be generalized. The present study utilized a golf putting task to investigate the effectiveness of an internal versus an external focus. Furthermore, the present study investigated whether participants complied with the instructions with the respective focus during the learning phase. Moreover, in addition to the performance on the putting task the movement execution was also examined. The results showed that the internal as well as the external group switched between the internal and external focus and additionally modified a neutral focus. There was no correlation between hitting performance and movement variability, but a correlation between the neutral focus and the movement variability was found. The results challenge empirical analysis and the results of research about attentional focus.     

‘Efficiency’ and ‘Vocationalism’ as Structuring Principles of Industrial Education in the USA

The aim of this paper, based on a comparative viewpoint from an European outsider perspective, is to present a brief historical reconstruction of the pedagogical and educational political discussion about education for the industrial sector in America. The discussion was triggered by the emerging idea that one of the principal tasks of education should be to prepare youth most effectively for their upcoming work life. It followed that the constitution and role of the American schools to achieve this purpose were widely debated early in the twentieth century by eminent pedagogues. Some of these pedagogues argued for an American education system that also developed vocational abilities and skills, whereas others favoured only the development of general knowledge. During the course of this dispute, across the first half of the twentieth century, other key issues were brought forward such as whether this much vaunted vocational education should be enacted in comprehensive schools or whether other kinds of schools should be established for these purposes. Furthermore, another model that resembled the German vocational system was also proposed through this period. However, ultimately and unlike in Germany, a dual model of vocational education and training characterised by an interlocking of school-based instruction and workplace training has not managed to establish itself as a discrete educational sector in America. Currently, education for industry is provided mainly in schools and tends to be oriented towards the criteria of efficiency and vocationalism.

The impact of system specifics on systems thinking

Present and future social and ecological challenges are complex both to understand and to attempt to solve. To comprehend the complex systems underlying these issues, students need systems thinking skills. However, in science education, a uniform delineation of systems thinking across contexts has yet to be established. While there seems to be consensus on a number of key skills from a theoretical perspective, it remains uncertain whether it is possible to distinguish levels of systems thinking, and if so, how they would be determined. In this study, we investigated the impact of the specifics of a system on the skills and levels of systems thinking. We administered a 36-item multiple-choice test to 196 Grade 5 and 6 students. For our analysis, we followed a quantitative approach, applying a systems thinking model that incorporates the latest insights on the levels and skills of systems thinking in geography to the context of ecology. By following an Item Response Theory approach, we confirmed a set of systems thinking skills that are necessary to understand complex systems in ecology: identifying system organization, analyzing system behavior, and system modeling. We examined whether individual skill levels can be distinguished to determine whether a system's general principle or system-specific features cause difficulty for students. Our results indicate that system specifics, such as type of relation within ecosystems (e.g., predator–prey), appear to determine the formation of levels. Students struggled most with the difference between basic, direct cause-and-effect relationships and indirect effects. Once they understood the relevance of indirect relationships in moderately complex systems, a further increase in complexity caused little additional difficulty. Accordingly, we suggest that systems thinking should be examined from a variety of perspectives. To promote interdisciplinary learning, a systems thinking model that defines key commonalities across fields while leaving space for system specifics is needed.