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Thought structures of modelling task solutions and their connection to the level of difficulty
(2015)
Although efforts have been made to integrate the concept of mathematical modelling in school, among others PISA and TIMSS revealed weaknesses of not only German students in the field of mathematical modelling. There may be various reasons starting from educational policy via curricular issues to practical instructional concerns. Studies show that mathematical modelling has not been arrived yet in everyday school class (Blum &BorromeoFerri, 2009, p. 47). Thus, the proportion of mathematical modelling in everyday school classes is low (Jordan et al., 2006). When focusing on the teachers’ point of view there are difficulties which may contribute to avoid modelling tasks in class. The development of reasonable modelling tasks, estimating the task space, valuating the task difficulty and assessing the student solutions are difficulties which occur to an increasing degree compared to ordinary mathematics tasks.The project MokiMaS (transl.: modeling competency in math classes of secondary education) aims at providing inter-year modelling tasks, whose task space and level of difficulty is known, together with an evaluation scheme. In particular a theory based method has been developed to determine the level of difficulty of modelling tasks on the basis of thought structures, representing the cognitive load of solution approaches. The current question is whether this method leads to a realistic rating. To go further into that question an evaluation scheme has been developed which is guided by the daily assessment work of teachers, to investigate the relation of task difficulty and student performance.
Cyclic GMP (cGMP) signalling regulates multiple biological functions through activation of protein kinase G and cyclic nucleotide-gated (CNG) channels. In sensory neurons, cGMP permits signal modulation, amplification and encoding, before depolarization. Here we implement a guanylyl cyclase rhodopsin from Blastocladiella emersonii as a new optogenetic tool (BeCyclOp), enabling rapid light-triggered cGMP increase in heterologous cells (Xenopus oocytes, HEK293T cells) and in Caenorhabditis elegans. Among five different fungal CyclOps, exhibiting unusual eight transmembrane topologies and cytosolic N-termini, BeCyclOp is the superior optogenetic tool (light/dark activity ratio: 5,000; no cAMP production; turnover (20 °C) ∼17 cGMP s−1). Via co-expressed CNG channels (OLF in oocytes, TAX-2/4 in C. elegans muscle), BeCyclOp photoactivation induces a rapid conductance increase and depolarization at very low light intensities. In O2/CO2 sensory neurons of C. elegans, BeCyclOp activation evokes behavioural responses consistent with their normal sensory function. BeCyclOp therefore enables precise and rapid optogenetic manipulation of cGMP levels in cells and animals.
Mitochondrial respiratory supercomplexes (mtRSCs) are stoichiometric assemblies of electron transport chain (ETC) complexes in the inner mitochondrial membrane. They are hypothesized to regulate electron flow, the generation of reactive oxygen species (ROS) and to stabilize ETC complexes. Using the fungal ageing model Podospora anserina, we investigated the impact of homologues of the Saccharomyces cerevisiae respiratory supercomplex factors 1 and 2 (termed PaRCF1 and PaRCF2) on mtRSC formation, fitness and lifespan. Whereas PaRCF2’s role seems negligible, ablation of PaRCF1 alters size of monomeric complex IV, reduces the abundance of complex IV-containing supercomplexes, negatively affects vital functions and shortens lifespan. PaRcf1 overexpression slightly prolongs lifespan, though without appreciably influencing ETC organization. Overall, our results identify PaRCF1 as necessary yet not sufficient for mtRSC formation and demonstrate that PaRCF1-dependent stability of complex IV and associated supercomplexes is highly relevant for maintenance of the healthy lifespan in a eukaryotic model organism.
Filamentous, heterocyst-forming cyanobacteria exchange nutrients and regulators between cells for diazotrophic growth. Two alternative modes of exchange have been discussed involving transport either through the periplasm or through septal junctions linking adjacent cells. Septal junctions and channels in the septal peptidoglycan are likely filled with septal junction complexes. While possible proteinaceous factors involved in septal junction formation, SepJ (FraG), FraC, and FraD, have been identified, little is known about peptidoglycan channel formation and septal junction complex anchoring to the peptidoglycan. We describe a factor, SjcF1, involved in regulation of septal junction channel formation in the heterocyst-forming cyanobacterium Anabaena sp. strain PCC 7120. SjcF1 interacts with the peptidoglycan layer through two peptidoglycan-binding domains and is localized throughout the cell periphery but at higher levels in the intercellular septa. A strain with an insertion in sjcF1 was not affected in peptidoglycan synthesis but showed an altered morphology of the septal peptidoglycan channels, which were significantly wider in the mutant than in the wild type. The mutant was impaired in intercellular exchange of a fluorescent probe to a similar extent as a sepJ deletion mutant. SjcF1 additionally bears an SH3 domain for protein-protein interactions. SH3 binding domains were identified in SepJ and FraC, and evidence for interaction of SjcF1 with both SepJ and FraC was obtained. SjcF1 represents a novel protein involved in structuring the peptidoglycan layer, which links peptidoglycan channel formation to septal junction complex function in multicellular cyanobacteria. Nonetheless, based on its subcellular distribution, this might not be the only function of SjcF1.
Previous research on working memory (WM) in children with poor mathematical skills has yielded heterogeneous results, possibly due to inconsistent consideration of the IQ-achievement discrepancy and additional reading and spelling difficulties. To examine the impact of both, the WM of 68 average-achieving and 68 low-achieving third-graders in mathematics was assessed. Preliminary analyses showed that poor mathematical skills were associated with poor WM. Afterwards, children with isolated mathematical difficulties were separated from those with additional reading and spelling difficulties. Half of each group fulfilled the IQ-achievement discrepancy, resulting in a 2 (additional reading and spelling difficulties: yes/no) by 2 (IQ-achievement discrepancy: yes/no) factorial design. Analyses revealed that not fulfilling the IQ achievement discrepancy was associated with poor visual WM, whereas additional reading and spelling difficulties were associated with poor central executive functioning in children fulfilling the IQ-achievement discrepancy. Therefore, WM in children with poor mathematical skills differs according to the IQ-achievement discrepancy and additional reading and spelling difficulties.
Proton-pumping complex I of the mitochondrial respiratory chain is among the largest and most complex membrane protein complexes. The enzyme contributes substantially to oxidative energy-conversion in eukaryotic cells. Its malfunctions are implicated in many hereditary and degenerative disorders. Here, we report the X-ray structure of mitochondrial complex I at 3.6- 3.9 Å resolution describing in detail the central subunits that execute the bioenergetic function. A continuous axis of basic and acidic residues running centrally through the membrane arm connects the ubiquinone reduction site in the hydrophilic arm to four putative proton-pumping units. The binding position for a substrate analogous inhibitor and blockage of the predicted ubiquinone binding site provide a model for the ‘deactive’ form of the enzyme. The proposed transition into the active form is based on a concerted structural rearrangement at the ubiquinone reduction site rendering support for a two-state stabilization-change mechanism of protonpumping.
Models propose an auditory-motor mapping via a left-hemispheric dorsal speech-processing stream, yet its detailed contributions to speech perception and production are unclear. Using fMRI-navigated repetitive transcranial magnetic stimulation (rTMS), we virtually lesioned left dorsal stream components in healthy human subjects and probed the consequences on speech-related facilitation of articulatory motor cortex (M1) excitability, as indexed by increases in motor-evoked potential (MEP) amplitude of a lip muscle, and on speech processing performance in phonological tests. Speech-related MEP facilitation was disrupted by rTMS of the posterior superior temporal sulcus (pSTS), the sylvian parieto-temporal region (SPT), and by double-knock-out but not individual lesioning of pars opercularis of the inferior frontal gyrus (pIFG) and the dorsal premotor cortex (dPMC), and not by rTMS of the ventral speech-processing stream or an occipital control site. RTMS of the dorsal stream but not of the ventral stream or the occipital control site caused deficits specifically in the processing of fast transients of the acoustic speech signal. Performance of syllable and pseudoword repetition correlated with speech-related MEP facilitation, and this relation was abolished with rTMS of pSTS, SPT, and pIFG. Findings provide direct evidence that auditory-motor mapping in the left dorsal stream causes reliable and specific speech-related MEP facilitation in left articulatory M1. The left dorsal stream targets the articulatory M1 through pSTS and SPT constituting essential posterior input regions and parallel via frontal pathways through pIFG and dPMC. Finally, engagement of the left dorsal stream is necessary for processing of fast transients in the auditory signal.
The dopamine β-hydroxylase (DβH) enzyme transforms dopamine into noradrenaline. We hypothesized that individuals with low activity DBH genotypes (rs1611115 CT/TT) are more sensitive to the influence of cannabis and cocaine on cognitive impulse control and functional connectivity in the limbic ‘reward’ circuit because they experience a drug induced hyperdopaminergic state compared to individuals with high activity DBH genotypes (rs1611115 CC). Regular drug users (N = 122) received acute doses of cannabis (450 μg/kg THC), cocaine HCl 300 mg and placebo. Cognitive impulse control was assessed by means of the Matching Familiar Figures Test (MFFT). Resting state fMRI was measured in a subset of participants to determine functional connectivity between the nucleus accumbens (NAc) and (sub)cortical areas. The influence of cannabis and cocaine on impulsivity and functional connectivity significantly interacted with DBH genotype. Both drugs increased cognitive impulsivity in participants with CT/TT genotypes but not in CC participants. Both drugs also reduced functional connectivity between the NAc and the limbic lobe, prefrontal cortex, striatum and thalamus and primarily in individuals with CT/TT genotypes. Correlational analysis indicated a significant negative association between cognitive impulsivity and functional connectivity in subcortical areas of the brain. It is concluded that interference of cannabis and cocaine with cognitive impulse control and functional corticostriatal connectivity depends on DBH genotype. The present data provide a neural substrate and behavioral mechanism by which drug users can progress to drug seeking and may also offer a rationale for targeted pharmacotherapy in chronic drug users with high risk DBH genotypes.
Das Folgende ist eine Auseinandersetzung mit dem Zeitungsartikel von Patrick Bahners (FAZ 5. 9. 2015) und zugleich mit seiner wichtigsten Autorität, Gerd Althoff (FmSt 48, 2014, S. 261-76: "Das Amtsverständnis Gregors VII. und die neue These vom Friedenspakt in Canossa"). Zu beiden Texten sind einige Bemerkungen vonnöten. Der vorliegenden Fassung meiner Darlegung gingen Versionen voraus, die an Jürgen Petersohn u.a., sowie jeweils erweitert an Nikolas Jaspert und zuletzt an Folker Reichert geschickt wurden. Ich stelle hiermit diese erweiterte Version (entgegen meiner ursprünglichen Absicht) auf Drängen von Kollegen und Freunden ins "Netz".
Aims: We sought to describe perfusion dyssynchrony analysis specifically to exploit the high temporal resolution of stress perfusion CMR. This novel approach detects differences in the temporal distribution of the wash-in of contrast agent across the left ventricular wall.
Methods and results: Ninety-eight patients with suspected coronary artery disease (CAD) were retrospectively identified. All patients had undergone perfusion CMR at 3T and invasive angiography with fractional flow reserve (FFR) of lesions visually judged >50% stenosis. Stress images were analysed using four different perfusion dyssynchrony indices: the variance and coefficient of variation of the time to maximum signal upslope (V-TTMU and C-TTMU) and the variance and coefficient of variation of the time to peak myocardial signal enhancement (V-TTP and C-TTP). Patients were classified according to the number of vessels with haemodynamically significant CAD indicated by FFR <0.8. All indices of perfusion dyssynchrony were capable of identifying the presence of significant CAD. C-TTP >10% identified CAD with sensitivity 0.889, specificity 0.857 (P < 0.0001). All indices correlated with the number of diseased vessels. C-TTP >12% identified multi-vessel disease with sensitivity 0.806, specificity 0.657 (P < 0.0001). C-TTP was also the dyssynchrony index with the best inter- and intra-observer reproducibility. Perfusion dyssynchrony indices showed weak correlation with other invasive and non-invasive measurements of the severity of ischaemia, including FFR, visual ischaemic burden, and MPR.
Conclusion: These findings suggest that perfusion dyssynchrony analysis is a robust novel approach to the analysis of first-pass perfusion and has the potential to add complementary information to aid assessment of CAD.
The presented work inside this thesis aims to raise the degree of automation in analog circuit design. Therefore, a framework was developed to provide the necessary mechanisms in order to carry out a fully automated analog circuit synthesis, i.e., the construction of an analog circuit fulfilling all previously defined (electrical) specifications. Nowadays, analog circuit design in general is a very time consuming process compared to a digital design flow. Due to its discrete nature, the digital design process is highly automated and thus very efficient compared to analog circuit design. In modern Very-Large-Scale integration (VLSI) circuits the analog parts are mostly just a small portion of the overall chip area. Although this small portion is known to consume a major part of the needed workforce. Paired with product cycles which constantly get shorter, the time needed to develop the analog parts of an integrated circuit (IC) becomes a determinant factor. Apart from this, the ongoing progress in semiconductor processing technologies promises more speed with less power consumption on smaller areas, forcing the IC developers to keep track with the technology nodes in order to maintain competitiveness. Analog circuitry exhibits the inherent property of being hard to reuse, as porting from one technology node to another imposes critical changes for operating conditions (e.g., supply voltage) - mostly leading to a full redesign for most of the analog modules. This productivity gap between digital and analog design resembles the primary motivation for this thesis. Due to the availability of commercial sizing tools, this work deliberately focuses on the construction of circuit topologies in distinction to parameter synthesis, which can be obtained with a dedicated sizing tool. The focus on circuit construction allows the development of a framework which allows a full design space exploration. This thesis describes the needed concepts and methods to realize a deterministic, explorative analog synthesis framework. Despite this, a reference implementation is presented, which demonstrates the applicability in current analog design flows.
This study examines the urban heat island (UHI) of Brussels, for both current (2000–2009) and projected future (2060–2069) climate conditions, by employing very high resolution (250 m) modelling experiments, using the urban boundary layer climate model UrbClim. Meteorological parameters that are related to the intensity of the UHI are identified and it is investigated how these parameters and the magnitude of the UHI evolve for two plausible trajectories for future climate conditions. UHI intensity is found to be strongly correlated to the inversion strength in the lowest 100 m of the atmosphere. The results for the future scenarios indicate that the magnitude of the UHI is expected to decrease slightly due to global warming. This can be attributed to the increased incoming longwave radiation, caused by higher air temperature and humidity values. The presence of the UHI also has a significant impact on the frequency of extreme temperature events in the city area, both in present and future climates, and exacerbates the impact of climate change on the urban population as the amount of heat wave days in the city increases twice as fast as in the rural surroundings.
The frequency of intensional and non-first-order definable operators in natural languages constitutes a challenge for automated reasoning with the kind of logical translations that are deemed adequate by formal semanticists. Whereas linguists employ expressive higher-order logics in their theories of meaning, the most successful logical reasoning strategies with natural language to date rely on sophisticated first-order theorem provers and model builders. In order to bridge the fundamental mathematical gap between linguistic theory and computational practice, we present a general translation from a higher-order logic frequently employed in the linguistics literature, two-sorted Type Theory, to first-order logic under Henkin semantics. We investigate alternative formulations of the translation, discuss their properties, and evaluate the availability of linguistically relevant inferences with standard theorem provers in a test suite of inference problems stated in English. The results of the experiment indicate that translation from higher-order logic to first-order logic under Henkin semantics is a promising strategy for automated reasoning with natural languages.
El siguiente trabajo se propone como objetivo la reconstrucción de la estructura interna que constituye a las acciones con sentido (o intencionales) de los hombres tal como puede ser hecha desde la pragmática trascendental del lenguaje de Karl-Otto Apel. Resaltando (I) el papel decisivo que juega el lenguaje y el discurso en la constitución como tal de las acciones intencionales, se procede a la explicitación de una estructura interna de pretensiones de validez similar a la que es posible encontrar en el discurso explícito, tal como lo hicieron los planteos clásicos de Karl-Otto Apel. Luego de la discusión de algunas críticas que pueden hacerse a esta reconstrucción (II), se arriban finalmente a algunas conclusiones referidas a los presupuestos de las acciones no lingüísticas (III).
Dieser Leitfaden ist im Rahmen des Projektes "IndUK – Individuelles Umwelthandeln und Klimaschutz – Ergebnisintegration und transdisziplinäre Verwertung von Erkenntnissen aus der SÖF-Forschung zu den sozialen Dimensionen von Klimaschutz und Klimawandel" entstanden. Das Projekt IndUK wurde vom Bundesministerium für Bildung und Forschung (BMBF) im Förderschwerpunkt Sozial-ökologische Forschung gefördert.
Im Kontext der Diskussion zur „Globalisierung des Managements“ und der daraus entstandenen These einer transnationalen Klasse untersuchen wir in diesem Beitrag den Stellenwert internationaler Berufserfahrung bei Bankvorständen in Deutschland und weltweit. Bisherige Forschungen (etwa Pohlmann 2009) argumentieren, dass bei den Top-100- Industrieunternehmen in den USA, Ostasien und Deutschland Karriereverläufe im mittleren und Spitzenmanagement kaum internationalisiert sind und Hauskarrieren die Regel seien. Unsere eigene explorative Untersuchung legt die Vermutung nahe, dass die Situation im deutschen sowie im globalen Bankensektor anders aussieht. Vor allem in Deutschland verlaufen die Top-Karrieren im Unterschied zu Industrieunternehmen deutlich internationaler, was auf andere personelle Konstellation im Feld des global vernetzten Finanzsektors hinweist. Im deutschen wie im globalen Finanzsektor könnten wir es hierbei mit dem Phänomen einer „Transnationalisierung ohne Migration“ zu tun haben.
In methodischer Hinsicht macht unsere Studie auf die Grenzen quantitativer Forschungsdesigns bei der Untersuchung internationaler Berufserfahrung und internationalen Arbeitspraxen aufmerksam. Daher plädieren wir für ein an die Kategorien der Bourdieu‘schen Sozialtheorie angelehntes qualitatives Forschungsdesign für die Untersuchung der Herausbildung einer globalen Klasse auf den globalisierten Finanzmärkten.