TU Dortmund University
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Der AR Zahlenstrahl: Entwicklung einer Augmented Reality-App zur Förderung des Zahlverständnisses in der Primarstufe
No full textDer Beitrag stellt eine innovative Augmented Reality-App vor, die einen virtuellen Zahlenstrahl in die reale Umgebung projiziert. Die App ermöglicht Lernenden, sich physisch entlang des Zahlenstrahls zu bewegen und mit Zahlen und Operationensdarstellungen zu interagieren. Auf Basis des Design-Based-Research-Ansatzes wird die Entwicklung der App und ihrer didaktischen Funktionen vorgestellt. Besondere Chancen zeigen sich in der Verknüpfung körperlich-räumlicher Erfahrungen mit mathematischen Konzepten, insbesondere bei der Orientierung in größeren Zahlenräumen
Mathe inklusiv mit PIKAS Projektphase 4 – ‚Arithmetische Basiskompetenzen am Übergang von der Grundschule zur Sekundarstufe‘
No full textDas Projekt Mathe inklusiv mit PIKAS bietet Lehrkräften digitale Angebote, die fachdidaktische und sonderpädagogische Hintergrundinformationen und Materialien zur Planung, Durchführung und Reflexion inklusiven Unterrichts in der Primarstufe kombiniert aufbereiten. Dieses Konzept wird auf den inklusiven Unterricht der frühen Sek. I ausgeweitet. Vorgestellt werden die unterrichtsintegrierte Aufarbeitung und Sicherung arithmetischer Basiskompetenzen der Primarstufe anhand von Aufgabenstellungen und Kurzfilmen zur Dokumentation fachlich bedeutsamer Unterrichtsmomente gemeinsamen Mathematiklernens
Water tanks, jerry cans, power banks
No full textThis dissertation examines how everyday artefacts of storage – such as water tanks, jerry cans, and power banks – shape Nairobi's infrastructure space. Far from being mere household items, these objects and the practices around them are central to how urban residents navigate fragmented, heterogeneous, and often unreliable infrastructure configurations that reflect colonial legacies and post-independence mutations. Within this context, storage becomes a crucial yet ambiguous tool: enabling autonomy and resilience while also reinforcing infrastructural fragmentation and injustice. Focusing on domestic storage of water and electricity, the study explores how households adapt to and simultaneously reproduce place-specific infrastructural conditions through individual storage arrangements that connect to both networked and non-networked modes of supply. Through 40 enriched household interviews, 36 expert interviews, go-alongs, urban explorations, and other informal and observational methods, the research investigates and discusses how domestic storage mediates relationships between residents, infrastructures, nature(s), and the city. Anchored in critical urban studies, STS-inspired infrastructure research, urban political ecology, and planning theory, the study introduces conceptual tools such as the 'storage city', the 'batteryscape', and 'storage as a multi-scalar analytic' to analyze storage across scales, resources, and applications. It argues for understanding storage as both a symptom of and enabler to infrastructural uncertainty. Ultimately, the dissertation proposes 'storage as a propositional space' – a field of action and possibility for urban planning and governance. It calls for recognizing domestic and communal storage as integral to infrastructure policy and planning, and for further research into minor and domestic forms of storage as a key element of urban life
Zum Potenzial von Learning Analytics: Drei Verwendungen von Lernerdaten aus formativen und summativen Assessments
No full textLernerdaten sammeln, analysieren und durch die Analysen zu neuen Erkenntnissen gelangen, die Gestaltungsentscheidungen von Lehr-Lern-Settings beeinflussen – das meint Learning Analytics (unter anderem). Aber wie kann dies konkret aussehen? Mit dieser Frage habe ich mich über zwei Jahre im Rahmen einer mathematischen Lehrveranstaltung für Lehramtsstudierende auseinandergesetzt. Meine Antwort sind drei Verwendungen von Lernerdaten, an denen das Potenzial von Learning Analytics für die Reflexion und Weiterentwicklung von mathematischen Lehrveranstaltungen deutlich wird
Das Auswählen einer Deutungsmöglichkeit als interaktionale Praktik
No full textIn diesem Beitrag berichten wir aus einem Forschungsprojekt, in dem Prozesse der interaktionalen Normierung des Deutens von Darstellungen im alltäglichen Mathematikunterricht der Grundschule untersucht werden. Hierbei wird das interaktionale Aushandeln der Bedeutung von Darstellungen als diskursive Praktik konzeptualisiert. Zur Illustration des theoretisch-methodologischen Rahmens des Projekts wird im Beitrag die Praktik des Auswählens einer Deutungsmöglichkeit anhand eines Unterrichtsbeispiels rekonstruiert
A posteriori error analysis for optimization with PDE constraints
No full textWe consider finite element solutions to optimization problems, where the state depends on the possibly constrained control through a linear partial differential equation. Basing upon a reduced and rescaled optimality
system, we derive a posteriori bounds capturing the approximation of the state, the adjoint state, the control and the observation. The upper and lower bounds show a gap, which grows with decreasing cost or Tikhonov regularization parameter. This growth is mitigated compared to previous results and can be countered by refinement if control and observation involve compact operators. Numerical results illustrate these properties for model problems with distributed and boundary control
Spiro-C(sp3)-atom transfer: Creating rigid 3D structures with Ph2SCN2
No full textThe introduction of a single C-atom into organic substrates typically results in the formation of flat molecules containing unsaturated C(sp)-centers. Adding a single C(sp3)-atom surrounded by four σ-C–C bonds, which opens up the three-dimensional space, is an unresolved problem in synthetic chemistry. We report the synthesis and application of the diazosulfur ylide Ph2S=C=N2 reagent that combines the reactivity of both sulfur ylides and diazo compounds to create carbon spiro-centers in a general fashion by the sequential or single-step installation of a C(sp3)-atom. New C–C and C–X (where X is O or N) bonds can be created around the C(sp3)-atom, which can ultimately be extended to four C–C σ-bonds in one step without resorting to transition metal catalysis. Ph2SCN2 can also be used to access highly strained frameworks containing (oxa)spiro[2.2]pentanes as well as tricyclic spiro-compounds
A home advantage in offside decisions in German professional football (soccer)
No full textFootball teams perform more successfully when playing at home than when playing away. A possible cause for this home advantage is that spectators bias referee decisions in favor of the home team. This study is the first to investigate a possible home advantage in offside decisions in football. Therefore, we analyzed archival data from 1,836 matches from the German Bundesliga. We observed a home advantage in offside decisions when the effects of team dominance on the number of offside decisions were removed by calculating an offside score. The presence or absence of the video-assistant referee (VAR) did not affect the home advantage in offside decisions. Moreover, the home advantage in offside decisions occurred only in the presence of spectators and increased with their number. In summary, our study provides first evidence for a home advantage in offside decisions of professional referees, which might be related to spectator presence or behavior
Human consciousness and the ‘anthropological turn’: theological perspectives on evolutionary anthropology
No full textRecent discussions between evolutionary and theological anthropology have intensified, particularly through the work of Michael Tomasello. As a key figure in evolutionary anthropology, Tomasello synthesizes extensive empirical research into an accessible ‘natural history’ of core human abilities. He posits that a unique human trait distinguishing us from our closest relatives is the capacity for “collective intentionality”, a concept he adapts from the philosophy of action. In this article, I show that Tomasello’s insights carry significant implications for philosophical and theological debates. Philosophically, his evolutionary framework invites a new understanding of the mind–brain problem, promoting a non-reductive view of human consciousness which questions the basic metaphysical assumptions of the debate by taking a genealogical perspective. Theologically, his work supports a “practical metaphysics”, suggesting that although morality is autonomous, it can lead to theistic interpretations of human existence. This supports the Kantian idea that religion does not precede morality but that religious views of the world are interpretations of human moral life. At the same time, religion is not just an add-on to morality but an interpretation of a human form of life as such. Both discourses exemplify the importance of a genealogical perspective in philosophy and theology, especially reinforcing the necessity of considering the ‘natural history’ of consciousness, free will or religiosity in anthropology