Modelling Mathematical Reasoning in Physics Education

Many findings from research as well as reports from teachers describe students' problem solving strategies as manipulation of formulas by rote. The resulting dissatisfaction with quantitative physical textbook problems seems to influence the attitude towards the role of mathematics in physics education in general. Mathematics is often seen as a tool for calculation which hinders a conceptual understanding of physical principles. However, the role of mathematics cannot be reduced to this technical aspect. Hence, instead of putting mathematics away we delve into the nature of physical science to reveal the strong conceptual relationship between mathematics and physics. Moreover, we suggest that, for both prospective teaching and further research, a focus on deeply exploring such interdependency can significantly improve the understanding of physics. To provide a suitable basis, we develop a new model which can be used for analysing different levels of mathematical reasoning within physics. It is also a guideline for shifting the attention from technical to structural mathematical skills while teaching physics. We demonstrate its applicability for analysing physical-mathematical reasoning processes with an example.

MATHEMATICAL MODELS AND POLYHEDRAL STUDIES FOR INTEGRAL SHEET METAL DESIGN

We deal with the optimization of the production of branched sheet metal products. New forming techniques for sheet metal give rise to a wide variety of possible profiles and possible ways of production. In particular, we show how the problem of producing a given profile geometry can be modeled as a discrete optimization problem. We provide a theoretical analysis of the model in order to improve its solution time. In this context we give the complete convex hull description of some substructures of the underlying polyhedron. Moreover, we introduce a new class of facet-defining inequalities that represent connectivity constraints for the profile and show how these inequalities can be separated in polynomial time. Finally, we present numerical results for various test instances, both real-world and academic examples.

Tecendo a colcha de retalhos: a bricolagem como alternativa para a pesquisa educacional

A intensidade das mudanças sociais em curso colocou em xeque o legado da modernidade. As verdades elaboradas pela ciência moderna têm sofrido fortes abalos. Até mesmo o modo de produzir conhecimentos é questionado nos tempos atuais. Dentre as alternativas emergentes, encontra-se a bricolagem. Os bricoleurs apelam para uma variedade de métodos, instrumentos e referenciais teóricos que lhes possibilitem acessar e tecer as interpretações de diferentes origens. Impulsionados pelos Estudos Culturais, denunciam as relações de poder que influenciam os discursos científicos postos em circulação. O presente artigo discute os pressupostos e procedimentos metodológicos e oferece um exemplo de uma pesquisa educacional inspirada na bricolagem.

Pädagogische, musikpädagogische und curriculare Semantiken in systemtheoretischer Betrachtung - zum Umgang mit populärer Musik an allgemeinbildenden Schulen in Deutschland nach 1945

Die Dissertation untersucht die geistige Produktion im Erziehungssystem anhand des Unterrichtsgegenstands populäre Musik. Hiermit ist sie im Kernbereich der musikpädagogischen Disziplin angesiedelt – Musik und Schule. Ferner rückt die Festlegung auf populäre Musik den Schüler in seinem Alltagswissen in den Vordergrund der Betrachtung. Die Frage nach dem Umgang mit populärer Musik ist somit indirekt eine Frage nach dem Umgang mit schülernahen Erfahrungswelten in der Schule. Innerhalb dieses Forschungsprofils erhält die Arbeit ihre eigentliche Relevanz - sie zeigt auf, wie eine moderne, selbstreferentielle Musikpädagogik eigene bedeutsame Kommunikationen beobachten kann. Entworfen in Anlehnung an die Systemtheorie nach Niklas Luhmann, werden in der Arbeit die unikalen Reflexionszusammenhänge von Pädagogik und Musikpädagogik anhand der folgenden Operationsfelder offengelegt: pädagogische und musikpädagogische Fachliteratur, Lehrpläne und Schulbücher. Nach Luhmann ist es erforderlich verstehend in die Unikalität systemischer Reflexionsleistungen einzudringen, um inkonsistente Anforderungen an die Aufgabe (Musik-)Erziehung und ihre Gegenstände aufzudecken und zukünftige Systemhandlungen zu optimieren. Die Arbeit ist in drei große historische Zeitblöcke gegliedert, die ihrerseits in verschiedene disziplinäre Operationsfelder unterteilt sind. Mit Hilfe dieser zweidimensionalen historisch-interdisziplinären Sichtweise wird populäre Musik als Bezugsgröße aufgewiesen, an der die zentralen Debatten von Pädagogik und Musikpädagogik kondensieren. Anhand von Schlüsselbegriffen wie Kultur, Gesellschaft und Ästhetik aber auch didaktischen Prinzipien wie Schüler- und Handlungsorientierung oder ganzheitliche (Musik-)Pädagogik lässt sich die Vielfalt historisch gewachsener inkonsistenter/konsistenter Forderungen belegen. Aus den Beobachtungen im Umgang mit populärer Musik werden Aufgaben deutlich, die die Disziplinen, vor allem die Musikpädagogik, in der Zukunft zu leisten haben. Diese beschäftigen sich auf der einen Seite mit dem disziplinären Selbstverständnis und auf der anderen Seite mit unbeantworteten didaktischen Fragestellungen wie den Möglichkeiten und Grenzen des einzelnen populären Musikstücks im konkret-situativen Lernkontext von Musikunterricht.

L’«educativo» in sanità: reti di complessità e orizzonti di possibilità

La tesi analizza il dialogo tra due prospettive disciplinari: pedagogia e scienze mediche aprendo ad una serie di riflessioni operative e metodologiche per lo sviluppo della competenza educativa in sanità. Si tratta di un lavoro di ricerca pedagogica articolata in due parti:una teoretica e una empirica. La prima parte pone l’attenzione in modo particolare all’epistemologia della cura sanitaria nella prospettiva della complessità e agli elementi che definiscono la competenza educativa degli operatori. La seconda parte presenta i dati di una indagine esplorativa realizzata tramite focus group che ha coinvolto medici, infermieri, ostetriche e fisioterapisti della provincia di Bologna e medici, infermieri e fisioterapisti del Canton Ticino, Svizzera per far emergere le esperienze, i vissuti e le opinioni legate alle azioni educative sanitarie

Virus infections and winter losses of honey bee colonies (Apis mellifera)

Apiculturists have recently been confronted with drastic and inexplicable winter losses of colonies, and virus infections may be involved. Here, we surveyed 337 Swiss honey bee colonies in the winter of 2005 and 2006 and categorized their health status as: 1. dead (= no or few live bees left); 2. weak (= dwindling, high mortality of adult bees); or 3. healthy (= normal overwintering colony). From each colony, pooled adult workers were analyzed for deformed wing virus (DWV), acute bee paralysis virus (ABPV), chronic bee paralysis virus (CBPV) and Kashmir bee virus (KBV). Neither KBV nor CBPV were found, but significantly higher ABPV and DWV infections were found in dead vs. weak vs. healthy colonies (except DWV in 2006 between weak and healthy). Moreover, ABPV and DWV loads were positively correlated with each other. This is the first report demonstrating statistically significant correlations between viruses associated with Varroa destructor and winter mortality.

Declines of managed honey bees and beekeepers in Europe

Growing evidence indicates that European managed honey bees are in decline, but information for Europe remains patchy and localized. Here we compile data from 18 European countries to assess trends in the number of honey bee colonies and beekeepers between 1965 and 2005. We found consistent declines in colony numbers in central European countries and some increases in Mediterranean countries. Beekeeper numbers have declined in all of the European countries examined. Our data support the view that honey bees are in decline at least in some regions, which is probably closely linked to the decreasing number of beekeepers. Our data on colony numbers and beekeepers must, however, be interpreted with caution due to different approaches and socioeconomic factors in the various countries, thereby limiting their comparability. We therefore make specific recommendations for standardized methodologies to be adopted at the national and global level to assist in the future monitoring of honey bees.

Developing European conservation and mitigation tools for pollination services: approaches of the STEP (Status and Trends of European Pollinators) project

Pollinating insects form a key component of European biodiversity, and provide a vital ecosystem service to crops and wild plants. There is growing evidence of declines in both wild and domesticated pollinators, and parallel declines in plants relying upon them. The STEP project (Status and Trends of European Pollinators, 2010-2015, www.step-project.net) is documenting critical elements in the nature and extent of these declines, examining key functional traits associated with pollination deficits, and developing a Red List for some European pollinator groups. Together these activities are laying the groundwork for future pollinator monitoring programmes. STEP is also assessing the relative importance of potential drivers of pollinator declines, including climate change, habitat loss and fragmentation, agrochemicals, pathogens, alien species, light pollution, and their interactions. We are measuring the ecological and economic impacts of declining pollinator services and floral resources, including effects on wild plant populations, crop production and human nutrition. STEP is reviewing existing and potential mitigation options, and providing novel tests of their effectiveness across Europe. Our work is building upon existing and newly developed datasets and models, complemented by spatially-replicated campaigns of field research to fill gaps in current knowledge. Findings are being integrated into a policy-relevant framework to create evidence-based decision support tools. STEP is establishing communication links to a wide range of stakeholders across Europe and beyond, including policy makers, beekeepers, farmers, academics and the general public. Taken together, the STEP research programme aims to improve our understanding of the nature, causes, consequences and potential mitigation of declines in pollination services at local, national, continental and global scales.

Assessment of a high school geological field course

Fieldwork is supportive of students’ natural inquiry abilities. Educational research findings suggest that instructors can foster the growth of thinking skills and promote science literacy by incorporating active learning strategies (McConnel et al, 2003). Huntoon (2001) states that there is a need to determine optimal learning strategies and to document the procedure of assessing those optimal geoscience curricula. This study seeks to determine if Earth Space II, a high school geological field course, can increase students’ knowledge of selected educational objectives. This research also seeks to measure any impact Earth Space II has on students’ attitude towards science. Assessment of the Earth Space II course objectives provided data on the impact of field courses on high school students’ scientific literacy, scientific inquiry skills, and understanding of selected course objectives. Knowledge assessment was done using a multiple choice format test, the Geoscience Concept Inventory, and an open-ended format essay test. Attitude assessment occurred by utilizing a preexisting science attitude survey. Both knowledge assessments items showed a positive effect size from the pretest to the posttest. The essay exam effect size was 17 and the Geoscience Concept Inventory effect size was 0.18. A positive impact on students’ attitude toward science was observed by an increase in the overall mean Likert value from the pre-survey to the post-survey.

Effect of implementing project-based education in high school physics : file folder bridge engineering

Project-based education and portfolio assessments are at the forefront of educational research. This research follows the implementation of a project-based unit in a high school physics class. Students played the role of an engineering firm who designed, built and tested file folder bridges. The purpose was to determine if projectbased learning could improve student attitude toward science and related careers like engineering. Teams of students presented their work in a portfolio for a final assessment of the process of designing, building and testing their bridges.