@phdthesis{Knollmueller2023, author = {Knollm{\"u}ller, Robert}, title = {Zum Zusammenhang von Jahresnoten und Kompetenzen in der Neuen Mittelschule}, doi = {10.25932/publishup-59151}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-591514}, school = {Universit{\"a}t Potsdam}, pages = {359}, year = {2023}, abstract = {Die vorliegende Studie besch{\"a}ftigt sich mit dem nach einer Strukturver{\"a}nderung in der Sekundarstufe I entstandenen Schulmodell der Neuen Mittelschule. Untersucht wird, ob sich durch dieses Schulmodell und der damit intendierten neuen Lehr-, Lern- und Pr{\"u}fungskultur Zusammenh{\"a}nge zwischen gemessenen mathematischen Kompetenzen der Sch{\"u}ler und den durch Lehrer vergebenen Jahresnoten feststellen lassen. Die Literaturrecherche macht deutlich, dass die Kritik an der Monokultur des leh-rerzentrierten Unterrichts zwar zu einer neuen Lehr-, Lern- und Pr{\"u}fungskultur f{\"u}hrt, deren Inhalte sind aber recht unterschiedlich, komplex und nicht eindeutig definiert. In der NMS soll die Leistungsbewertung als Lernhilfe fungieren, aber auch verl{\"a}ssliche Aussagen {\"u}ber die Leistung der Sch{\"u}ler treffen. Zur Wirkung der neuen Lernkultur in der NMS gibt es ebenso keine empirischen Befunde wie {\"u}ber die Wirkung der Leistungsbewertung. An der empirischen Untersuchung nehmen 79 Sch{\"u}ler der sechsten Schulstufe aus drei Neuen Mittelschulen (dicht besiedelte, mittel besiedelte, d{\"u}nn besiedelte Gemeinde) in Nieder{\"o}sterreich teil. In jeder Schule werden zwei Klassen untersucht. Dabei werden der Kompetenzstand in Mathematik, Sch{\"u}lerzentriertheit sowie Sozial- und Leistungsdruck aus Sicht der Sch{\"u}ler gemeinsam mit der Jah-resnote erhoben. F{\"u}r die Studie wird ein Pfadmodell entwickelt und mit einer Pfadanalyse ausge-wertet. Dabei zeigen sich zwar Zusammenh{\"a}nge zwischen den gemessenen Kompetenzen in Mathematik und den Jahresnoten. Diese Jahresnoten besitzen {\"u}ber die Klasse bzw. die Schule hinaus aber nur eine bedingte Aussagekraft {\"u}ber die erbrachten Leistungen.}, language = {de} } @phdthesis{Hohberger2006, author = {Hohberger, Horst}, title = {Semiclassical asymptotics for the scattering amplitude in the presence of focal points at infinity}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-11574}, school = {Universit{\"a}t Potsdam}, year = {2006}, abstract = {We consider scattering in \$\R^n\$, \$n\ge 2\$, described by the Schr\"odinger operator \$P(h)=-h^2\Delta+V\$, where \$V\$ is a short-range potential. With the aid of Maslov theory, we give a geometrical formula for the semiclassical asymptotics as \$h\to 0\$ of the scattering amplitude \$f(\omega_-,\omega_+;\lambda,h)\$ \$\omega_+\neq\omega_-\$) which remains valid in the presence of focal points at infinity (caustics). Crucial for this analysis are precise estimates on the asymptotics of the classical phase trajectories and the relationship between caustics in euclidean phase space and caustics at infinity.}, subject = {Mathematik}, language = {en} } @phdthesis{Balt2020, author = {Balt, Miriam}, title = {Assessment of early numeracy development}, school = {Universit{\"a}t Potsdam}, pages = {130}, year = {2020}, abstract = {Early numeracy is one of the strongest predictors for later success in school mathematics (e.g., Duncan et al., 2007). The main goal of first grade mathematics teachers should therefore be to provide learning opportunities that enable all students to develop sound early numeracy skills. Developmental models, or learning progressions, can describe how early numerical understanding typically develops. Assessments that are aligned to empirically validated learning progressions can support teachers to understand their students learning better and target instruction accordingly. To date, there have been no progression-based instruments made available for German teachers to monitor their students' progress in the domain of early numeracy. This dissertation contributes to the design of such an instrument. The first study analysed the suitability of early numeracy assessments currently used in German primary schools at school entry to identify students' individual starting points for subsequent progress monitoring. The second study described the development of progression-based items and investigated the items in regards to main test quality criteria, such as reliability, validity, and test fairness, to find a suitable item pool to build targeted tests. The third study described the construction of the progress monitoring measure, referred to as the learning progress assessment (LPA). The study investigated the extent to which the LPA was able to monitor students' individual learning progress in early numeracy over time. The results of the first study indicated that current school entry assessments were not able to provide meaningful information about the students' initial learning status. Thus, the MARKO-D test (Ricken, Fritz, \& Balzer, 2013) was used to determine the students' initial numerical understanding in the other two studies, because it has been shown to be an effective measure of conceptual numerical understanding (Fritz, Ehlert, \& Leutner, 2018). Both studies provided promising evidence for the quality of the LPA and its ability to detect changes in numerical understanding over the course of first grade. The studies of this dissertation can be considered an important step in the process of designing an empirically validated instrument that supports teachers to monitor their students' early numeracy development and to adjust their teaching accordingly to enhance school achievement.}, language = {en} }