Children's performance estimation in mathematics and science tests over a school year: A pilot study

The metacognitve ability to accurately estimate ones performance in a test, is assumed to be of central importance for initializing task-oriented effort. In addition activating adequate problem-solving strategies, and engaging in efficient error detection and correction. Although school children's' ability to estimate their own performance has been widely investigated, this was mostly done under highly-controlled, experimental set-ups including only one single test occasion. Method: The aim of this study was to investigate this metacognitive ability in the context of real achievement tests in mathematics. Developed and applied by a teacher of a 5th grade class over the course of a school year these tests allowed the exploration of the variability of performance estimation accuracy as a function of test difficulty. Results: Mean performance estimations were generally close to actual performance with somewhat less variability compared to test performance. When grouping the children into three achievement levels, results revealed higher accuracy of performance estimations in the high achievers compared to the low and average achievers. In order to explore the generalization of these findings, analyses were also conducted for the same children's tests in their science classes revealing a very similar pattern of results compared to the domain of mathematics. Discussion and Conclusion: By and large, the present study, in a natural environment, confirmed previous laboratory findings but also offered additional insights into the generalisation and the test dependency of students' performances estimations.

Executive functioning, metacognition, and self-perceived competence in elementary school children: An explorative study on their interrelations and their role for school achievement

In the present study, associations between executive functioning, metacognition, and self-perceived competence in the context of early academic outcomes were examined. A total of 209 children attending first grade were initially assessed in terms of their executive functioning and academic self-concept. One year later, children’s executive functioning, academic self-concept, metacognitive monitoring and control, as well as their achievement in mathematics and literacy were evaluated. Structural equation modeling revealed that executive functioning was significantly related to metacognitive control, both cross-sectionally and longitudinally, and that self-concept was substantially associated with metacognitive monitoring, both cross-sectionally and longitudinally. Individual differences in executive functioning and metacognitive control were significantly related to academic outcomes, with metacognitive control appearing to yield a more circumscribed influence on academic outcomes (only literacy) compared to executive functioning (literacy and mathematics).

How gender fair are German schoolbooks in the twenty-first century? An analysis of language and illustrations in schoolbooks for mathematics and German

Schoolbooks convey not only school-relevant knowledge; they also influence the development of stereotypes about different social groups. Particularly during the 1970s and 1980s, many studies analysed schoolbooks and criticised the overall predominance of male persons and of traditional role allocations. Since that time, women’s and men’s occupations and social functions have changed considerably. The present research investigated gender portrayals in schoolbooks for German and mathematics that were recently published in Germany. We examined the proportions of female and male persons in pictures and texts and categorized their activities, occupational and parental roles. Going beyond previous studies, we added two criteria: the use of gender-fair language and the spatial arrangements of persons in pictures. Our results show that schoolbooks for German contained almost balanced depictions of girls and boys, whereas women were less frequently shown than men. In mathematics books, males outnumbered females in general. Across both types of books, female and male persons were engaged in many different activities, not only gendertyped ones; however, male persons were more often described via their profession than females. Use of gender-fair language has found its way into schoolbooks but is not used consistently. Books for German were more gender fair in terms of linguistic forms than books for mathematics. For spatial arrangements, we found no indication for gender biases. The results are discussed with a focus on how schoolbooks can be optimized to contribute to gender equality.

Schul-, Praxis- und habituelles Herrschaftswissen. Bildung ländlicher Eliten mit Blick auf die korporative Selbstverwaltung in der frühmodernen Schweiz (18. und 19. Jahrhundert)

Knowledge taught at schools, everyday skills and practical know-how. The relevancy of formation for local elites and the corporative self-government of Early Modern Switzerland Daniel Schläppi, Bern There were different kinds of rural elites in Early Modern Switzerland. The diverse parts of the country developed in very dissimilar ways politically and economically. Some regions were dominated by traditional types of agriculture. Some territories were ruled by major cities. In some of the rural Cantons like Uri, Schwyz, Unterwalden, Glarus and Zug a political elite took control over generations and practiced a cultural lifestyle comparable to the famous aristocracies in cities like Bern, Basel, Freiburg, Luzern, Solothurn and Zurich. Intense proto-industrialization formed a completely different sort of elite with strong affinities to industry and trade in other regions. Meanwhile the habitants of the valley close-by stayed farmers like their ancestors (like in Appenzell). In the most conservative parts of the country mercenary business played an important role till the very end of the Ancien Regime and even furthermore. In summery the variety of historical circumstances caused heterogeneous elites all over. Such socio-political diversity provoked a variety of educational backgrounds. I an academic understanding of the term we know only little about literacy in local rural elites. But there is strong evidence that a lively culture of reading and story-telling existed. This means that even simple countrymen seem to have been in possession of some books. The organisation and capacity of the school system is subject of controversial discussions among up to date researchers. The state of research makes us suppose that the people designed to political careers learned their essential skills not only in school but also in everyday life or on the job. Based on the fact that every community and countless public corporations managed their affairs by their own it’s evident that the local elite’s key-players had a large repertoire of techniques and skills like writing, calculating, strategic thinking or knowledge of oral tradition, old usage or important rituals. Unfortunately the historical actors left not that many sources that would tell us precisely how knowledge and know-how were transferred in former times. Hardly any private account books or common correspondence have been conserved. But a huge bunch of sources that originate from corporative self-administration shows us that most local elites were well-educated and had the necessary skills anyway. Above all other sources like for instance the «Topographische Beschreibungen» (topographic descriptions) that were initiated by the «Ökonomische Gesellschaft» of Berne since the sixties of the 18th century provide an insight into pre-modern classrooms. More important information on the historical formation-reality can be gained by the autobiography of the famous poor peasant Ulrich Bräker (1735‒1798) or some of the novels by Albert Bitzius (1797‒1854, better known as Jeremias Gotthelf). The pedagogic writings by Johann Heinrich Pestalozzi (1746‒1827) and the influences by his mentors Johann Rudolf Tschiffeli (1716‒1780) or Philipp Emanuel von Fellenberg (1771‒1884) are quite illustrative as well.

Flexibility Properties in Complex Analysis and Affine Algebraic Geometry

In the last decades affine algebraic varieties and Stein manifolds with big (infinite-dimensional) automorphism groups have been intensively studied. Several notions expressing that the automorphisms group is big have been proposed. All of them imply that the manifold in question is an Oka–Forstnerič manifold. This important notion has also recently merged from the intensive studies around the homotopy principle in Complex Analysis. This homotopy principle, which goes back to the 1930s, has had an enormous impact on the development of the area of Several Complex Variables and the number of its applications is constantly growing. In this overview chapter we present three classes of properties: (1) density property, (2) flexibility, and (3) Oka–Forstnerič. For each class we give the relevant definitions, its most significant features and explain the known implications between all these properties. Many difficult mathematical problems could be solved by applying the developed theory, we indicate some of the most spectacular ones.

Informationskompetenz und Information Literacy

Informationskompetenz ist heute als Begriff , Konzept und praktisches Tätigkeitsfeld von Bibliotheken weltweit etabliert. Entstehung, Verbreitung und Entwicklung von „Informationskompetenz“ im deutschsprachigen Raum stehen in engem Zusammenhang mit dem in den USA und international seit den 1980er Jahren diskutierten und praktisch umgesetzten Konzept der „Information Literacy“. Auch wenn die beiden Begriffe in der Regel gleichbedeutend verwendet werden, zeigt ein Vergleich der vorwiegend aus englischsprachigen Ländern – insbesondere den USA, Australien und Großbritannien – stammenden Literatur zur Information Literacy mit deutschsprachigen Publikationen zur Informationskompetenz neben zahlreichen Gemeinsamkeiten auch unterschiedliche Tendenzen und Schwerpunkte, die sich einerseits auf die zeitverschobene historische Entwicklung, andererseits auf unterschiedliche bildungs- und berufspolitische, institutionelle und terminologische Rahmenbedingungen zurückführen lassen. Einige dieser Gemeinsamkeiten und Unterschiede werden aus historischer Perspektive sowie mit Blick auf aktuelle inhaltliche Themen und Desiderate näher beleuchtet.