Model-Driven Engineering (MDE) aims to raise the level of abstraction in software system specifications and increase automation in software development. Modelware technological spaces contain the languages and tools for MDE that software developers take into consideration to model systems and domains. Ontoware technological spaces contain ontology languages and technologies to design, query, and reason on knowledge. With the advent of the Semantic Web, ontologies are now being used within the field of software development, as well. In this thesis, bridging technologies are developed to combine two technological spaces in general. Transformation bridges translate models between spaces, mapping bridges relate different models between two spaces, and, integration bridges merge spaces to new all-embracing technological spaces. API bridges establish interoperability between the tools used in the space. In particular, this thesis focuses on the combination of modelware and ontoware technological spaces. Subsequent to a sound comparison of languages and tools in both spaces, the integration bridge is used to build a common technological space, which allows for the hybrid use of languages and the interoperable use of tools. The new space allows for language and domain engineering. Ontology-based software languages may be designed in the new space where syntax and formal semantics are defined with the support of ontology languages, and the correctness of language models is ensured by the use of ontology reasoning technologies. These languages represent a core means for exploiting expressive ontology reasoning in the software modeling domain, while remaining flexible enough to accommodate varying needs of software modelers. Application domains are conceptually described by languages that allow for defining domain instances and types within one domain model. Integrated ontology languages may provide formal semantics for domain-specific languages and ontology technologies allow for reasoning over types and instances in domain models. A scenario in which configurations for network device families are modeled illustrates the approaches discussed in this thesis. Furthermore, the implementation of all bridging technologies for the combination of technological spaces and all tools for ontology-based language engineering and use is illustrated.

Aktuelle quantitative Analysen von Web-Tracking bieten keinen umfassenden Überblick über dessen Entstehung, Ausbreitung und Entwicklung. Diese Arbeit ermöglicht durch Auswertung archivierter Webseiten eine rückblickende Erfassung der Entstehungsgeschichte des Web-Trackings zwischen den Jahren 2000 und 2015. Zu diesem Zweck wurde ein geeignetes Werkzeug entworfen, implementiert, evaluiert und zur Analyse von 10000 Webseiten eingesetzt. Während im Jahr 2005 durchschnittlich 1,17 Ressourcen von Drittparteien eingebettet wurden, zeigt sich ein Anstieg auf 6,61 in den darauffolgenden 10 Jahren. Netzwerkdiagramme visualisieren den Trend zu einer monopolisierten Netzstruktur, in der bereits ein einzelnes Unternehmen 80 % der Internetnutzung überwachen kann. Trotz vielfältiger Versuche, dieser Entwicklung durch technische Maßnahmen entgegenzuwirken, erweisen sich nur wenige Selbst- und Systemschutzmaßnahmen als wirkungsvoll. Diese gehen häufig mit einem Verlust der Funktionsfähigkeit einer Webseite oder mit einer Einschränkung der Nutzbarkeit des Browsers einher. Mit der vorgestellten Studie wird belegt, dass rechtliche Vorschriften ebenfalls keinen hinreichenden Schutz bieten. An Webauftritten von Bildungseinrichtungen werden Mängel bei Erfüllung der datenschutzrechtlichen Pflichten festgestellt. Diese zeigen sich durch fehlende, fehlerhafte oder unvollständige Datenschutzerklärungen, deren Bereitstellung zu den Informationspflichten eines Diensteanbieters gehören. Die alleinige Berücksichtigung klassischer Tracker ist nicht ausreichend, wie mit einer weiteren Studie nachgewiesen wird. Durch die offene Bereitstellung funktionaler Webseitenbestandteile kann ein Tracking-Unternehmen die Abdeckung von 38 % auf 61 % erhöhen. Diese Situation wird durch Messungen von Webseiten aus dem Gesundheitswesen belegt und aus technischer sowie rechtlicher Perspektive bewertet. Bestehende systemische Werkzeuge zum Erfassen von Web-Tracking verwenden für ihre Messung die Schnittstellen der Browser. In der vorliegenden Arbeit wird mit DisTrack ein Framework zur Web-Tracking-Analyse vorgestellt, welches eine Sandbox-basierte Messmethodik verfolgt. Dies ist eine Vorgehensweise, die in der dynamischen Schadsoftwareanalyse erfolgreich eingesetzt wird und sich auf das Erkennen von Seiteneffekten auf das umliegende System spezialisiert. Durch diese Verhaltensanalyse, die unabhängig von den Schnittstellen des Browsers operiert, wird eine ganzheitliche Untersuchung des Browsers ermöglicht. Auf diese Weise können systemische Schwachstellen im Browser aufgezeigt werden, die für speicherbasierte Web-Tracking-Verfahren nutzbar sind.

Previous research concerned with early science education revealed that guided play can support young children’s knowledge acquisition. However, the questions whether guided play maintains other important prerequisites such as children’s science self-concept and how guided play should be implemented remain unanswered. The present dissertation encompasses three research articles that investigated 5- to 6-year-old children’s science knowledge, science theories, and science self-concept in the stability domain and their relation to interindividual prerequisites. Moreover, the articles examined whether children’s science knowledge, science theories, and science self-concept can be supported by different play forms, i.e., guided play with material and verbal scaffolds, guided play with material scaffolds, and free play. The general introduction of the present dissertation first highlights children’s cognitive development, their science self-concept, and interindividual prerequisites, i.e., fluid and crystallised intelligence, mental rotation ability, and interest in block play. These prerequisites are applied to possible ways of supporting children during play. The first article focused on the measurement of 5-to-6-year-old children’s stability knowledge and its relation to interindividual prerequisites. Results suggested that children’s stability knowledge could be measured reliably and validly, and was related to their fluid and crystallised intelligence. The second article was concerned with the development of children’s intuitive stability theories over three points of measurement and the effects of guided and free play, children’s prior theories as well as their intelligence on these intuitive theories. Results implied that guided play with material and verbal scaffolds supported children’s stability theories more than the other two play forms, i.e., guided play with material scaffolds and free play. Moreover, consistency of children’s prior theories, their fluid and crystallised intelligence were related to children’s theory adaptation after the intervention. The third article focused on the effect of the playful interventions on children’s stability knowledge and science self-concept over three points of measurement. Furthermore, the reciprocal effects between knowledge acquisition and science self-concept were investigated. Results implied that guided play supported knowledge acquisition and maintained children’s science self-concept. Free play did not support children’s stability knowledge and decreased children’s science self-concept. No evidence for reciprocal effects between children’s stability knowledge and their science self-concept was found. Last, in a general discussion, the findings of the three articles are combined and reflected amidst children’s cognitive development. Summarising, the present dissertation shows that children’s science knowledge, science theories, and science self-concept can be supported through guided play that considers children’s cognitive development.

Pelagic oxyclines, the transition zone between oxygen rich surface waters and oxygen depleted deep waters, are a common characteristic of eutrophic lakes during summer stratification. They can have tremendous effects on the biodiversity and the ecosystem functioning of lakes and, to add insult to injury, are expected to become more frequent and more pronounced as climate warming progresses. On these grounds, this thesis endeavors to advance the understanding of formation, persistence, and consequences of pelagic oxyclines: We test, whether the formation of metalimnetic oxygen minima is intrinsically tied to a locally enhanced oxygen consuming process, investigate the relative importance of vertical physical oxygen transport and biochemical oxygen consumption for the persistence of pelagic oxyclines, and finally assess their potential consequences for whole lake cycling. To pursue these objectives, the present thesis nearly exclusively resorts to in situ measurements. Field campaigns were conducted at three lakes in Germany featuring different types of oxyclines and resolved either a short (hours to days) or a long (weeks to months) time scale. Measurements comprised temperature, current velocity, and concentrations of oxygen and reduced substances in high temporal and vertical resolution. Additionally, vertical transport was estimated by applying the eddy correlation technique within the pelagic region for the first time. The thesis revealed, that the formation of metalimnetic oxygen minima does not necessarily depend on locally enhanced oxygen depletion, but can solely result from gradients and curvatures of oxygen concentration and depletion and their relative position to each other. Physical oxygen transport was found to be relevant for oxycline persistence when it considerably postponed anoxia on a long time scale. However, its influence on oxygen dynamics was minor on short time scales, although mixing and transport were highly variable. Biochemical consumption always dominated the fate of oxygen in pelagic oxyclines. It was primarily determined by the oxidative breakdown of organic matter originating from the epilimnion, whereas in meromictic lakes, the oxidation of reduced substances dominated. Beyond that, the results of the thesis emphasize that pelagic oxyclines can be a hotspot of mineralization and, hence, short-circuit carbon and nutrient cycling in the upper part of the water column. Overall, the present thesis highlights the importance of considering physical transport as well as biochemical cycling in future studies.

Today’s agriculture heavily relies on pesticides to manage diverse pests and maximise crop yields. Despite elaborate regulation of pesticide use based on a complex environmental risk assessment (ERA) scheme, the widespread use of these biologically active compounds has been shown to be a threat to the environment. For surface waters, pesticide exposure has been observed to exceed safe concentration levels and negatively impact stream ecology leading to the question whether current ERA schemes ensure a sustainable use of pesticides. To answer this, the large-scale “Kleingewässer-Monitoring” (KgM) assessed the occurrence of pesticides and related effects in 124 streams throughout Germany, Central Europe, in 2018 and 2019. Based on five scientific publications originating from the KgM, this thesis evaluated pesticide exposure in streams, ecological effects and the regulatory implications. More than 1,000 water samples were analysed for over 100 pesticide analytes to characterise occurrence patterns (publication 1). Measured concentrations and effects were used to validate the exposure and effect concentrations predicted in the ERA (publication 2). By jointly analysing real-world pesticide application data and measured pesticide mixtures in streams, the disregard of environmental pesticide mixtures in the ERA was evaluated (publication 3). The toxic potential of mixtures in stream water was additionally investigated using suspect screening for 395 chemicals and a battery of in-vitro bioassays (publication 4). Finally, the results from the KgM stream monitoring were used to assess the capability to identify pesticide risks in governmental monitoring programmes (publication 5). The results of this thesis reveal the widespread occurrence of pesticides in non-target stream ecosystems. The water samples contained a variety of pesticides occurring in complex mixtures predominantly in short-term peaks after rainfall events (publications 1 & 4). Respective pesticide concentration maxima were linked to declines in vulnerable invertebrate species and exceeded regulatory acceptable concentrations in about 80% of agricultural streams, while these thresholds were still estimated partly insufficient to protect the invertebrate community (publication 2). The co-occurrence of pesticides in streams led to a risk underestimated in the single substance-oriented ERA by a factor of about 3.2 in realistic worst-case scenarios, which is further exacerbated by a high frequency at which non-target organism are exposed to pesticides (publication 3). Stream water samples taken after rainfall caused distinct effects in bioassays which were only explainable to a minor extent by the many analytes, indicating the relevance of unknown chemical or biological mixture components (publication 4). Finally, the regulatory monitoring of surface waters under the Water Framework Directive (WFD) was found to significantly underestimate pesticide risks, as about three quarters of critical pesticides and more than half of streams at risk were overlooked (publication 5). Essentially, this thesis involves a new level of validation of the ERA of pesticides in aquatic ecosystems by assessing pesticide occurrence and environmental impacts at a scale so far unique. The overall results demonstrate that the current agricultural use of pesticides leads to significant impacts on stream ecology that go beyond the level tolerated under the ERA. This thesis identified the underestimation of pesticide exposure, the potential insufficiency of regulatory thresholds and the general inertia of the authorisation process as the main causes why the ERA fails to meet its objectives. To achieve a sustainable use of pesticides, the thesis proposes substantial refinements of the ERA. Adequate monitoring programmes such as the KgM, which go beyond current government monitoring efforts, will continue to be needed to keep pesticide regulators constantly informed of the validity of their prospective ERA, which will always be subject to uncertainty.

Thousands of chemicals from daily use are being discharged from civilization into the water cycle via different pathways. Ingredients of personal care products, detergents, pharmaceuticals, pesticides, and industrial chemicals thus find their way into the aquatic ecosystems and may cause adverse impacts on the ecology. Pharmaceuticals for instance, represent a central group of anthropogenic chemicals, because of their designed potency to interfere with physiological functions in organisms. Ecotoxicological effects from pharmaceutical burden have been verified in the past. Therapeutic groups with pronounced endocrine disrupting potentials such as steroid hormones gain increasing focus in environmental research as it was reported that they cause endocrine disruption in aquatic organisms even when exposed to environmentally relevant concentrations. This thesis considers the comprehensive investigation of the occurrence of corticosteroids and progestogens in wastewater treatment plant (WWTP) effluents and surface waters as well as the elucidation of the fate and biodegradability of these steroid families during activated sludge treatment. For the first goal of the thesis, a robust and highly sensitive analytical method based on liquid chromatography-tandem mass spectrometry (LC-MS/MS) was developed in order to simultaneously determine the occurrence of around 60 mineralocorticoids, glucocorticoids and progestogens in the aquatic environment. A special focus was set to the compound selection due to the diversity of marketed synthetic steroids. Some analytical challenges have been approved by individual approaches regarding sensitivity enhancement and compound stabilities. These results may be important for further research in environmental analysis of steroid hormones. Reliable and low quantification limits are the perquisite for the determination of corticosteroids and progestogens at relevant concentrations due to low consumption volumes and simultaneously low effect-based trigger values. Achieved quantification limits for all target analytes ranged between 0.02 ng/L and 0.5 ng/L in surface water and 0.05 ng/L to 5 ng/L in WWTP effluents. This sensitivity enabled the detection of three mineralocorticoids, 23 glucocorticoids and 10 progestogens within the sampling campaign around Germany. Many of them were detected for the first time in the environment, particularly in Germany and the EU. To the best of our knowledge, this in-depth steroid screening provided a good overview of single steroid burden and allowed for the identification of predominantly steroids of each steroid type analyzed for the first time. The frequent detection of highly potent synthetic steroids (e.g. triamcinolone acetonide, clobetasol propionate, betamethasone valerate, dienogest, cyproterone acetate) highlighted insufficient removal during conventional Summary wastewater treatment and indicated the need for regulation to control their emission since the steroid concentrations were found to be above the reported effect-based trigger values for biota. Overall, the study revealed reliable environmental data of poorly or even not analyzed steroids. The results complement the existing knowledge in this field but also providednew information which can beused particularly for compound prioritization in ecotoxicological research and environmental analysis. Based on the data obtained from the monitoring campaign, incubation experiments were conducted to enable the comparison of the biodegradability and transformation processes in activated sludge treatment for structure-related steroids under aerobic and standardized experimental conditions. The compounds were accurately selected to cover manifold structural moieties of commonly used glucocorticoids, including non-halogenated and halogenated steroids, their mono- and diesters, and several acetonide-type steroids. This approach allowed for a structure-based interpretation of the results. The obtained biodegradation rate constants suggested large variations in the biodegradability (half-lifes ranged from < 0.5 h to > 14 d). An increasing stability was identified in the order from non-halogenated steroids (e.g. hydrocortisone), over 9α-halogenated steroids (e.g. betamethasone), to C17-monoesters (e.g. betamethasone 17-valerate, clobetasol propionate), and finally to acetonides (e.g. triamcinolone acetonide), thus suggesting a strong relationship of the biodegradability with the glucocorticoid structure. Some explanations for this behavior have been received by identifying the transformation products (TPs) and elucidating individual transformation pathways. The results revealed the identification of the likelihood of transformation reactions depending on the chemical steroid structure for the first time. Among the identified TPs, the carboxylates (e.g. TPs of fluticasone propionate, triamcinolone acetonide) have been shown persistency in the subsequent incubation experiments. The newly identified TPs furthermore were frequently detected in the effluents of full-scale wastewater treatment plants. These findings emphasized i) the transferability of the lab-scale degradation experiments to real world and that ii) insufficient removals may cause adverse effects in the aquatic environment due to the ability of the precursor steroids and TPs to interact with the endocrine system in biota. For the last goal, the conceptual study for glucocorticoids was applied to progestogens. Here, two sub-types of the steroid family frequently used for hormonal contraception were selected (17α-hydroxyprogesterone and 19-norstestosterone type). The progestogens showed a fast and complete degradation within six hours, and thus empathizes pronounced biodegradability. However, cyproterone acetate and dienogest Summary have been found to be more recalcitrant in activated sludge treatment. This was consistent with their ubiquitously occurrence during the previous monitoring campaign. The elucidation of TPs again revealed some crucial information regarding the observed behavior and highlighted furthermore the formation of hazardous TPs. It was shown that 19-nortestosterone type steroids are able to undergo aromatization at ring A in contact with activated sludge, leading to the formation of estrogen-like TPs with a phenolic moiety at ring A. In the case of norethisterone the formation of 17α-ethinylestradiol was confirmed, which is a well-known potent synthetic estrogen with elevated ecotoxicological potency. Thus, the results indicated for the very first time an unknown source of estrogenic compounds, particularly for 17α-ethinylestradiol. In conclusion, some steroids were found to be very stable in activated sludge treatment, others degrade well, and others which do degrade but predominantly to active TPs depending on their chemical structure. Fluorinated acetal steroids such as triamcinolone acetonide and fluocinolone acetonide are poorly biodegradable, which is reflected in high concentrations detected ubiquitously in WWTP effluents. Endogenous steroids and their most related synthetic once such as hydrocortisone, prednisolone or 17α-hydroxyprogesterone are readily biodegradable. Regardless their high influent concentrations, they are almost completely removed in conventional WWTPs. Steroids between this range have been found to form elevated quantities of TPs which are partially still active, which particularly the case for betamethasone, fluticasone propionate, cyproterone acetate or dienogest. The thesis illustrates the need for an extensive evaluation of the environmental risks and carried out that corticosteroids and progestogens merit more attention in environmental regulatory and research than it is currently the case

Das Organische Qualitätsmanagement (OQM) hat seine Wurzeln in der "Natürlichen Gemeindeentwicklung" (NGE). Der evangelische Theologe Christian A. Schwarz und der Diplompsychologe Christoph Schalk gingen im Rahmen eines internationalen Forschungsprojektes der Frage nach, ob es universell gültige Prinzipien für das qualitative und quantitative Wachstum von Kirchengemeinden gibt. Diese Studie wurde zu einem der größten Forschungsprojekte, das jemals über das Wachstum von Gemeinden durchgeführt wurde. Bis Februar 2011 wurden in über 70 Ländern 71.512 Profile für Kirchengemeinden unterschiedlichster Prägung und Konfession erstellt. Das Ergebnis dieser fortschreitenden Studie bietet eine wissenschaftlich zu verifizierende Antwort auf die Frage: "Was sind die Wachstumsprinzipien, die unabhängig von Kultur, theologischer Prägung und Frömmigkeitsrichtung gelten und können sich diese Prinzipien auch positiv auf Non Profit Organisationen und säkulare Wirtschaftsunternehmen anwenden lassen? Kapitel 1 beschreibt zunächst die Entstehung, Herkunft und Entwicklung des OQM, d.h. den Übertragungsprozess aller Erkenntnisse aus der Entwicklung von Kirchengemeinden auf die Realität von kirchlichen Organisationen und später auf die Anforderungen eines Wirtschaftsunternehmens. Kapitel 2 geht ausführlich auf die Beschreibung der acht Qualitätsmerkmale ein. Hierbei stehen weniger die Substantive (Leitung, Mitarbeiter, Strukturen, Beziehungen etc.) im Mittelpunkt, als vielmehr die Adjektive (bevollmächtigend, gabenorientiert, zweckmäßig, vertrauensvoll etc.). Sie beschreiben, auf was es in Veränderungsprozessen wirklich ankommt. Zu Beginn des Projektes war nicht abzusehen, ob und in welcher Weise sich die Qualitätsmerkmale und die christlichen Sozialprinzipien als Erfolgsfaktoren auch in anderen Unternehmensformen beweisen können. In Kapitel 3 werden Praxisbeispiele zeigen, dass ein dialogisch arbeitendes OQM nicht nur Kirchengemeinden sondern auch caritativen Unternehmen und sogar Wirtschaftsunternehmen helfen kann zu wachsen und somit erfolgreich zu sein.

More than 10,000 organic chemicals such as pharmaceuticals, ingredients of personal care products and biocides are ubiquitously used in every day life. After their application, many of these chemicals enter the domestic sewer. Research has shown that conventional biological wastewater treatment in municipal wastewater treatment plants (WWTPs) is an insufficient barrier for the release of most of these anthropogenic chemicals into the receiving waters. This bears unforeseen risks for aquatic wildlife and drinking water resources. Especially for recently introduced and/or detected compounds (so called emerging micropollutants), there is a growing need to investigate the occurrence and fate in WWTPs. In order to get a comprehensive picture on the behavior in municipal wastewater treatment, the following groups of emerging organic micropollutants, spanning a broad range of applications and physico-chemical properties, were selected as target compounds: pharmaceuticals (beta blockers, psycho-active drugs), UV-filters, vulcanization accelerators (benzothiazoles), biocides (anti-dandruffs, preservatives, disinfectants) and pesticides (phenylurea and triazine herbicides).

Agricultural land-use may lead to brief pulse exposures of pesticides in edge-of-field streams, potentially resulting in adverse effects on aquatic macrophytes, invertebrates and ecosystem functions. The higher tier risk assessment is mainly based on pond mesocosms which are not designed to mimic stream-typical conditions. Relatively little is known on exposure and effect assessment using stream mesocosms. Thus the present thesis evaluates the appliacability of the stream mesocosms to mimic stream-typical pulse exposures, to assess resulting effects on flora and fauna and to evaluate aquatic-terrestrial food web coupling. The first objective was to mimic stream-typical pulse exposure scenarios with different durations (≤ 1 to ≥ 24 hours). These exposure scenarios established using a fluorescence tracer were the methodological basis for the effect assessment of an herbicide and an insecticide. In order to evaluate the applicability of stream mesocosms for regulatory purposes, the second objective was to assess effects on two aquatic macrophytes following a 24-h pulse exposure with the herbicide iofensulfuron-sodium (1, 3, 10 and 30 µg/L; n = 3). Growth inhibition of up to 66 and 45% was observed for the total shoot length of Myriophyllum spicatum and Elodea canadensis, respectively. Recovery of this endpoint could be demonstrated within 42 days for both macrophytes. The third objective was to assess effects on structural and functional endpoints following a 6-h pulse exposure of the pyrethroid ether etofenprox (0.05, 0.5 and 5 µg/L; n = 4). The most sensitive structural (abundance of Cloeon simile) and functional (feeding rates of Asellus aquaticus) endpoint revealed significant effects at 0.05 µg/L etofenprox. This concentration was below field-measured etofenprox concentrations and thus suggests that pulse exposures adversely affect invertebrate populations and ecosystem functions in streams. Such pollutions of streams may also result in decreased emergence of aquatic insects and potentially lead to an insect-mediated transfer of pollutants to adjacent food webs. Test systems capable to assess aquatic-terrestrial effects are not yet integrated in mesocosm approaches but might be of interest for substances with bioaccumulation potential. Here, the fourth part provides an aquatic-terrestrial model ecosystem capable to assess cross-ecosystem effects. Information on the riparian food web such as the contribution of aquatic (up to 71%) and terrestrial (up to 29%) insect prey to the diet of the riparian spider Tetragnatha extensa was assessed via stable isotope ratios (δ13C and δ15N). Thus, the present thesis provides the methodological basis to assess aquatic-terrestrial pollutant transfer and effects on the riparian food web. Overall the results of this thesis indicate, that stream mesocosms can be used to mimic stream-typical pulse exposures of pesticides, to assess resulting effects on macrophytes and invertebrates within prospective environmental risk assessment (ERA) and to evaluate changes in riparian food webs.

In der vorliegenden Untersuchung stehen geometrische Aufgaben und die in den seit 2004 national verbindlichen Bildungsstandards im Fach Mathematik für den Primarbereich formulierten Anforderungsbereiche im Zentrum. Diese zeigen die kognitiven Anforderungen an Schülerinnen und Schüler bei der Bearbeitung von Aufgaben auf, wobei zwischen „Reproduzieren", „Zusammenhänge herstellen" und „Verallgemeinern und Reflektieren" unterschieden wird (KMK, 2005a, S. 13). Durch die drei Anforderungsbereiche sollen Lehrkräfte unter anderem die Chance zur Entwicklung einer anforderungsbezogenen Aufgabenkultur erhalten. Des Weiteren soll die Integration von Aufgaben aus allen drei Anforderungsbereichen im Unterricht angeregt und einem einseitig ausgerichteten Unterricht entgegen gewirkt werden. Da die Anforderungsbereiche bislang nicht empirisch validiert wurden und in den Veröffentlichungen der Kultusministerkonferenz nicht klar zur Schwierigkeit von Aufgaben abgegrenzt werden (KMK, 2005a, S. 13; KMK, 2005b, S. 17; KMK, 2004b, S. 13), wurde in der vorliegenden Untersuchung zum einen die Möglichkeit der eindeutigen Zuordnung geometrischer Aufgaben zu den drei Anforderungsbereichen geprüft. Zum anderen wurde untersucht, inwiefern die in den geometrischen Aufgaben enthaltenen kognitiven Anforderungen in Zusammenhang mit der empirischen Schwierigkeit von Aufgaben, der mathematischen Leistungsfähigkeit von Schülerinnen und Schülern, dem Geschlecht und den Anforderungen der im Unterricht gestellten Aufgaben stehen. Vor dem Hintergrund der dem deutschen Mathematikunterricht nachgesagten Kalkül- beziehungsweise Fertigkeitsorientierung (Baumert et al., 2001, S. 296; Granzer & Walther, 2008, S. 9) und den damit einhergehenden Stärken deutscher Schülerinnen und Schüler im Bereich von Routineaufgaben und Schwächen im Bereich von Aufgaben mit höheren kognitiven Anforderungen (Grassmann et al., 2014, S. 11; Reiss & Hammer, 2013, S. 82; Schütte, 2008, S. 41) wurde zudem die Verteilung der im Rahmen der Untersuchung gewonnenen, schriftlich fixierten geometrischen Schulbuch- und Unterrichtsaufgaben auf die drei Anforderungsbereiche analysiert. Durch die Betrachtung geometrischer Aufgaben konnte stichprobenartig der quantitative Geometrieanteil in den Schulbüchern und im Unterricht der vierten Jahrgangsstufe ermittelt werden, um so den Forschungsstand zum Stellenwert des Geometrieunterrichts (Maier, 1999; Backe-Neuwald, 2000; Roick, Gölitz & Hasselhorn, 2004) zu aktualisieren beziehungsweise zu ergänzen.