Digital formative assessment in basic education. Lesson support from lea.online

Aufgrund der überaus heterogenen Lernbiographien von Erwachsenen spielen besonders in der Basisbildung/Alphabetisierung individuelle Förderung und damit auch die Diagnostik eine wichtige Rolle für einen zielgerichteten und erfolgreichen Lernprozess. Im Rahmen einer Eingangsdiagnostik können die jeweiligen Förderbedarfe identifiziert und in einer begleitenden Diagnostik die jeweiligen Fortschritte erkannt werden. Dazu wurden im Projekt "lea.Literalitätsentwicklung" seit 2008 Diagnoseinstrumente für die Bereiche Lesen, Schreiben, Mathematisches Grundwissen und Sprachgefühl entwickelt und sowohl in Papierform als auch für eine Online-Nutzung aufbereitet. Im Folgeprojekt "lea.online" (2018-2022) wurden drei digitale Anwendungen für den Einsatz in der Praxis von Basisbildung/Alphabetisierung entwickelt: eine verbesserte Version des bestehenden Online-Diagnostik-Instruments otu.lea, das lea.Dashboard für Lehrende zur fall- und gruppenbasierten Auswertung von Testergebnissen sowie die lea.App mit berufsfeldbezogenen Übungsaufgaben für Lernende. Alle Anwendungen sind mit Blick auf die Zielgruppe gezielt niederschwellig und ansprechend und sollen zum Lernen motivieren. Die Vorteile dieser digitalen Anwendungen sind Effizienzsteigerung in der Diagnostik durch automatisierte Auswertungen sowie Möglichkeiten zur differenzierten individuellen Förderung der Lernenden, Möglichkeiten zur didaktischen Steuerung in der Lehre und zum notwendigen Üben auch außerhalb der Kurszeiten. (DIPF/Orig.)Because of the thoroughly heterogeneous learning biographies of adults, individual support and thus assessment play an important role in a targeted and successful learning process in basic education/literacy. As part of initial assessment, their support needs can be identified, and progress can be recognized in an accompanying diagnostic procedure. Since 2008 the project "lea.Literalitätsentwicklung" has developed assessment tools for the areas reading, writing, basic mathematics and feel for language and prepared them in a paper format as well as for online use. In the follow-up project "lea.online" (2018-2022), three digital applications have been developed for use in basic education/literacy practice: an improved version of the existing online assessment tool otu.lea, the lea.Dashboard for teachers for case- and group-based evaluation of test results and the lea.App with occupational field-related exercises for learners. All applications are intentionally easy to use and appealing to the target group and should motivate them to learn. The advantages of these digital applications are an increase in diagnostic efficiency through automated analysis and opportunities for individualized support for learners, didactic control in teaching and the practice required outside of the lessons. (DIPF/Orig.

The Truncated Matricial Hamburger Moment Problem and Corresponding Weyl Matrix Balls

The present thesis intents on analysing the truncated matricial Hamburger power moment problem in the general (degenerate and non-degenerate) case. Initiated due to manifold lines of research, by this time, outnumbering results and thoughts have been established that are concerned with specific subproblems within this field. The resulting presence of such a diversity as well as an extensively considered topic si- multaneously involves advantageous as well as obstructive aspects: on the one hand, we adopt the favourable possibility to capitalise on essential available results that proved beneficial within subsequent research. Nevertheless, on the other hand, we are obliged to illustrate major preparatory work in order to illucidate the comprehension of the attaching examination. Moreover, treating the matricial cases of the respective problems requires meticulous technical demands, in particular, in view of the chosen explicit approach to solving the considered tasks. Consequently, the first part of this thesis is dedicated to furnishing the necessary basis arranging the prime results of this research paper. Compul- sary notation as well as objects are introduced and thoroughly explained. Furthermore, the required techniques in order to achieve the desired results are characterised and ex- haustively discussed. Concerning the respective findings, we are afforded the opportunity to seise presentations and results that are, by this time, elaborately studied. Being equipped with mandatory cognisance, the thematically bipartite second and pivo- tal part objectives to describe all the possible values of all the solution functions of the truncated matricial Hamburger power moment problem M P [R; (s j ) 2n j=0 , ≤]. Aming this, we realise a first paramount achievement epitomising one of the two parts of the main results: Capturing an established representation of the solution set R 0,q [Π + ; (s j ) 2n j=0 , ≤] of the assigned matricial Hamburger moment problem via operating a specific algorithm of Schur-type, we expand these findings. We formulate a parameterisation of the set R 0,q [Π + ; (s j ) 2n j=0 , ≤] which is compatible with establishing respective equivalence classes within a certain subset of Nevanlinna pairs and utilise specific systems of orthogonal polynomials in order to entrench novel representations. In conclusion, we receive a para- meterisation that is valid within the entire upper open complex half-plane Π + . The second of the two prime parts changes focus to analysing all possible values of the functions belonging to R 0,q [Π + ; (s j ) 2n j=0 , ≤] in an arbitrary point w ∈ Π + . We gain two decisive conclusions: We identify these respective values to exhaust particular matrix balls 2n K[(s j ) 2n j=0 , w] := {F (w) | F ∈ R 0,q [Π + ; (s j ) j=0 , ≤]} the parameters of which are feasable to being described by specific rational matrix-valued functions and, in this course, enhance formerly established analyses. Moreover, we compile an alternative representation of the semi-radii constructing the respective matrix balls which manifests supportive in further consideration. We seise the achieved parameterisation of the set K[(s j ) 2n j=0 , w] and examine the behaviour of the respective sequences of left and right semi-radii. We recognise that these sequences of semi-radii associated with the respective matrix balls in the general case admit a particular monotonic behaviour. Consequently, with increasing number of given data, the resulting matrix balls are identified as being nested. Moreover, a proper description of the limit case of an infinite number of prescribed moments is facilitated.:1. Brief Historic Embedding and Introduction 2. Part I: Initialising Compulsary Cognisance Arranging Principal Achievements 2.1. Notation and Preliminaries 2.2. Particular Classes of Holomorphic Matrix-Valued Functions 2.3. Nevanlinna Pairs 2.4. Block Hankel Matrices 2.5. A Schur-Type Algorithm for Sequences of Complex p × q Matrices 2.6. Specific Matrix Polynomials 3. Part II: Momentous Results and Exposition – Improved Parameterisations of the Set R 0,q [Π + ; (s j ) 2n j=0 , ≤] 3.1. An Essential Step to a Parameterisation of the Solution Set R 0,q [Π + ; (s j ) 2n j=0 , ≤] 3.2. Parameterisation of the Solution Set R 0,q [Π + ; (s j ) 2n j=0 3.3. Particular Matrix Polynomials 3.4. Description of the Solution Set of the Truncated Matricial Hamburger Moment Problem by a Certain System of Orthogonal Matrix Polynomials 4. Part III: Prime Results and Exposition – Novel Description Balls 4.1. Particular Rational Matrix-Valued Functions 4.2. Description of the Values of the Solutions 4.3. Monotony of the Semi-Radii and Limit Balls of the Weyl Matrix 5. Summary of Principal Achievements and Prospects A. Matrix Theory B. Integration Theory of Non-Negative Hermitian Measure

Tropical Atlantic convection as revealed by ozone and relative humidity measurements

International audienceProperties of deep convection over the tropical central Atlantic are analyzed in light of ozone as a quasi-conservative quantity on the convective timescale. Multiple years of measurements of ozone from aircraft, shipboard and balloon platforms reveal that the mean ozone mixing ratio near 250 hPa, close in time and distance to the convective outflow at that pressure, is 7 ppb higher than at sea surface and marine boundary layer (MBL). The process that increases the ozone mixing ratio in the convective outflow is shown to be lateral entrainment of higher value ozone mixing ratio originating from the subsiding branch of the Hadley Cell. Ozone and humidity soundings obtained from cruise campaigns over the same region are used to identify the preferred or most pronounced levels of entrainment, which appear to be near 700 hPa and from 500 to 400 hPa, as indicated by layers of simultaneous drying and enhanced ozone mixing ratio in otherwise smooth profiles. There are also indications of convective detrainment at around 600 hPa and 300 hPa, which may correspond to shallow and deep convection, respectively. A simple model is used to estimate the ratio of the bulk entrainment mass flux (Φ2) between 900 and 400 hPa to the convective mass flux from the MBL below (Φ1). The ratio is calculated, on the basis of climatological ozone measurements, to be Φ2/Φ1 = 0.50. Thus the bulk outflow is 50% larger than the lateral mass flux in the MBL. The relative humidity over ice (RHi) of air at the convective outflow is centered at RHi = 110%, with a considerable range from a low near 40% to a high near 150%

Cold plasma therapy in chronic wounds — a multicenter, randomized controlled clinical trial (Plasma on Chronic Wounds for Epidermal Regeneration Study)

Chronic wounds (CWs) pose a significant health challenge in clinical practice. Standard wound therapy (SWT) is currently considered the gold standard. However, recent evidence suggests that cold plasma therapy (CPT) holds promise for improving CWs. In light of this, the POWER study was conducted as a multicenter, randomized clinical trial to investigate the effect of large-area plasma application compared with SWT in patients with chronic, non-healing arterial or venous wounds on the lower leg. To analyze the interim results, we employed a comprehensive range of statistical tests, including both parametric and non-parametric methods, as well as GLS model regression and an ordinal mixed model. Our findings clearly demonstrate that CPT therapy significantly accelerates wound closure compared with SWT. In fact, complete wound closure was exclusively observed in the CPT group during the intervention period. Additionally, the CPT group required significantly less antibiotic therapy (4%) compared with the SWT group (23%). Furthermore, CPT led to a significant reduction in wound pain and improved quality of life compared with SWT. In conclusion, the study highlights that the combination of CPT and SWT surpasses monotherapy with SWT alone

Tropical Atlantic convection as revealed by ozone and relative humidity measurements

Properties of deep convection over the tropical central Atlantic are analyzed in light of ozone as a quasi-conservative quantity on the convective timescale. Multiple years of measurements of ozone from aircraft, shipboard and balloon platforms reveal that the mean ozone mixing ratio near 250 hPa, close in time and distance to the convective outflow at that pressure, is 7 ppb higher than at sea surface and marine boundary layer ( MBL). The process that increases the ozone mixing ratio in the convective outflow is shown to be lateral entrainment of higher value ozone mixing ratio originating from the subsiding branch of the Hadley Cell. Ozone and humidity soundings obtained from cruise campaigns over the same region are used to identify the preferred or most pronounced levels of entrainment, which appear to be near 700 hPa and from 500 to 400 hPa, as indicated by layers of simultaneous drying and enhanced ozone mixing ratio in otherwise smooth profiles. There are also indications of convective detrainment at around 600 hPa and 300 hPa, which may correspond to shallow and deep convection, respectively. A simple model is used to estimate the ratio of the bulk entrainment mass flux (Phi(2)) between 900 and 400 hPa to the convective mass flux from the MBL below (Phi(1)). The ratio is calculated, on the basis of climatological ozone measurements, to be Phi(2)/Phi(1)= 0.50. Thus the bulk outflow is 50% larger than the lateral mass flux in the MBL. The relative humidity over ice ( RHi) of air at the convective outflow is centered at RHi = 110%, with a considerable range from a low near 40% to a high near 150%

Abstracts of the 6th FECS Conference 1998 Lectures

International audienc