@inbook{f905597ea973487c8e31f2f585e5c604,
title = "Wahrnehmung von und Umgang mit der Diskontinuit{\"a}t im {\"U}bergang von der Schule zur Hochschule: Herausforderungen von Mathematiklehramtsstudierenden in der Studieneingangsphase",
abstract = "Die Studienabbruchquote ist in Mathematikstudieng{\"a}ngen, auch im Lehramt,{\"u}berdurchschnittlich hoch, was unter anderem darauf zur{\"u}ckzuf{\"u}hren ist, dassMathematikstudierende den {\"U}bergang von der Schule zur Hochschule als star‐ken Bruch bzw. Diskontinuit{\"a}t wahrnehmen. Um diesen {\"U}bergang zu erleich‐tern und Mathematiklehramtsstudierende zu unterst{\"u}tzen, werden an der Uni‐versit{\"a}t Hamburg im Rahmen der Reform der Lehramtsausbildung eigenst{\"a}n‐dige, zielgruppenspezifische Veranstaltungen angeboten. Mittels Interviewswurden die Erfahrungen von n = 21 Lehramtsstudierenden in der Studienein‐gangsphase erhoben und im Hinblick auf die Wahrnehmung und Bew{\"a}ltigungder Diskontinuit{\"a}t analysiert. Die Ergebnisse zeigen, dass die Diskontinuit{\"a}texplizit wahrgenommen wird und adressatenbezogene Unterst{\"u}tzungsange‐bote der Hochschule zu einer besseren Bew{\"a}ltigung beitragen k{\"o}nnen, insbe‐sondere auf der affektiv-motivationalen Ebene.",
keywords = "Mathematiklehramt, Doppelte Diskontinuit{\"a}t, Studieneingangsphase",
author = "Alina Alwast and Mireia Viguer",
year = "2024",
doi = "10.31244/9783830998785",
language = "Deutsch",
isbn = "978-3-8309-4878-0",
pages = "99--118",
editor = "J{\"o}rg Doll and Gabriele Kaiser and Eva Arnold",
booktitle = "Innovative Ans{\"a}tze zur Ver{\"a}nderung der Lehrkr{\"a}fteausbildung",
publisher = "Waxmann",
address = "Deutschland",
}
@inbook{2c593a11446b427e864ca2b7a9ca9e9f,
title = "Pre-service Teachers{\textquoteright} Knowledge and Noticing Competencies for Teaching Mathematical Modelling Regarding Students{\textquoteright} Use of Metacognitive Strategies",
abstract = "To independently solve complex problems, such as a mathematical modelling problem, students can use metacognitive strategies to overcome obstacles and to ensure a smooth working process. Therefore, it is important for teachers to have knowledge on metacognition on the one hand and perceive and interpret the students{\textquoteright} (lack of) use of metacognitive modelling strategies on the other hand. In this chapter, we analyse the development of 52 pre-service teachers{\textquoteright} knowledge and noticing competencies for teaching mathematical modelling regarding students{\textquoteright} use of metacognitive strategies as well as the relationship between the two aspects. While the pre-service teachers{\textquoteright} knowledge regarding metacognition significantly improved during a modelling seminar, pre-service teachers{\textquoteright} noticing competencies barely changed. A correlation between both aspects (r = 0.38***) could be demonstrated.",
keywords = "mathematical modelling, metacognition, metacognitive strategies, noticing, pedagogical content knowledge, teacher education",
author = "Alina Alwast and Katrin Vorh{\"o}lter",
year = "2023",
doi = "10.1007/978-3-031-27115-1_13",
language = "English",
isbn = "978-3-031-27114-4",
series = "International Perspectives on the Teaching and Learning of Mathematical Modelling",
publisher = "Springer Nature Switzerland AG",
pages = "207--222",
editor = "Gilbert Greefrath and Susana Carreira and Stillman, {Gloria Ann}",
booktitle = "International Perspectives on the Teaching and Learning of Mathematical Modelling",
address = "Switzerland",
}
@inbook{6505cf2ef1654498a823c9e49e1abc20,
title = "Professionelle Kompetenzen von angehenden Lehrpersonen zum Lehren mathematischen Modellierens – Konzeptionen und Instrumente",
abstract = "Professionelle Kompetenz subsumiert Wissen, F{\"a}higkeiten, Emotionen und Werte, welche zur Bew{\"a}ltigung beruflicher Anforderungen notwendig sind. Diese werden in unterschiedlichen Konstrukten konzeptualisiert und dom{\"a}nenspezifisch konkretisiert. Um die professionelle Kompetenz von Lehrpersonen zum Unterrichten mathematischen Modellierens in der Sekundarstufe in den Blick zu nehmen, werden im Folgenden spezifische Anforderungen identifiziert, die bei der Vorbereitung und Durchf{\"u}hrung von Modellierungsaktivit{\"a}ten in der Schulpraxis auftreten.Im Beitrag stellen wir unterschiedliche Konzeptionen professioneller Kompetenz vergleichend dar, um darauf aufbauend existierende Messinstrumente zu den einzelnen Konzeptionen vorzustellen sowie zudem St{\"a}rken und Schw{\"a}chen der einzelnen Instrumente zu diskutieren.",
keywords = "Mathematisches Modellieren, Professionelle Kompetenz, PID-Modell, Textvignetten, Videovignetten, Professionelle Unterrichtswahrnehmung",
author = "Alina Alwast and Gilbert Greefrath and Hans-Stefan Siller and Katrin Vorh{\"o}lter",
year = "2022",
month = jun,
day = "22",
doi = "10.1007/978-3-658-36766-4_8",
language = "Deutsch",
isbn = "978-3-658-36765-7",
series = "Springer eBook Collection",
publisher = "Springer Spektrum",
pages = "155 -- 171",
editor = "Nils Buchholtz and Bj{\"o}rn Schwarz and Katrin Vorh{\"o}lter",
booktitle = "Initiationen mathematikdidaktischer Forschung",
}
@inbook{d766a1aa954449258dc415e80353c7c7,
title = "Noticing student's difficulties while working on modelling problems",
keywords = "mathematical modelling, noticing, teacher education",
author = "Alina Alwast and Katrin Vorh{\"o}lter",
year = "2022",
language = "English",
volume = "4",
pages = "168",
editor = "Ceneida Fern{\'a}ndez and Salvador Llinares and Angel Guti{\'e}rrez and Nuria Planas",
booktitle = "Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education",
}
@article{723453e77f4e440c835ea452d0fd94e7,
title = "Measuring pre-service teachers{\textquoteright} noticing competencies within a mathematical modeling context – an analysis of an instrument",
abstract = "Teaching mathematical modeling is a demanding task. Thus, fostering teachers{\textquoteright} competencies in this regard is an essential component of teacher education. Recent conceptualizations of teachers{\textquoteright} competencies include situation-specific skills based on the concept of noticing, which is of particular interest for the spontaneous reactions needed when teaching mathematical modeling. The study described in this paper aims to analyze the development of a video-based instrument for measuring teachers{\textquoteright} noticing competencies within a mathematical modeling context and obtain evidence for the validity of the instrument. Three kinds of validity are examined in three different studies: content validity, elemental validity and construct validity. Indicators for content validity could be found through different expert ratings and implementation with the target group, where participants were able to perceive all relevant aspects. The qualitative analysis of participants{\textquoteright} reasoning, which is consistent with the coded level, indicates elemental validity. Moreover, the results of the confirmatory factor analysis suggest construct validity with one overall factor of noticing competence within a mathematical modeling context. Taken together, these studies imply a satisfactory validity of the video-based instrument.",
keywords = "Mathematical modeling, Modeling competencies, Noticing, Teachers{\textquoteright} competencies, Validity, Mathematical modeling, Modeling competencies, Noticing, Teachers{\textquoteright} competencies, Validity",
author = "Alina Alwast and Katrin Vorh{\"o}lter",
year = "2021",
month = oct,
day = "13",
doi = "10.1007/s10649-021-10102-8",
language = "English",
volume = "109",
pages = "263--285",
journal = "Educational Studies in Mathematics",
issn = "0013-1954",
publisher = "Springer Netherlands",
number = "2",
}
@inbook{db2028dfb3664fb9a85c9bd391a31bf4,
title = "Chancen und Schwierigkeiten von Modellierungstagen aus Sicht von Lehrerinnen und Lehrern",
abstract = "Das mathematische Modellieren l{\"a}sst sich sowohl im Regelunterrichtin regul{\"a}ren Einzel- oder Doppelstunden,als auch in Projektform f{\"o}rdern. In Hamburg haben Lehrkr{\"a}fteseit 2001 die M{\"o}glichkeit, mit ihren Sch{\"u}lerinnenund Sch{\"u}lern an Modellierungstagen oder -wochenteilzunehmen, die von Lehrenden der Universit{\"a}t Hamburgorganisiert werden. In diesem Beitrag wird der Ablaufder Hamburger Modellierungstage vorgestellt sowiebeispielhaft eine Aufgabenstellung und die entsprechendenSch{\"u}lererarbeitungen dargestellt. Im Anschluss wirddie Sichtweise der Lehrkr{\"a}fte, die teilweise seit mehr alsf{\"u}nf Jahren an Modellierungsaktivit{\"a}ten teilnehmen, aufdie Chancen, aber auch auf die Schwierigkeiten der Teilnahmedargelegt. Abschlie{\ss}end erfolgen – zusammenfassendaus den Erfahrungen der letzten Jahre sowie denzuvor dargelegten Sichtweisen der Lehrkr{\"a}fte – Empfehlungenf{\"u}r eine eigene Umsetzung von Modellierungsprojekten.",
author = "Katrin Vorh{\"o}lter and Alina Alwast",
year = "2021",
doi = "10.1007/978-3-658-33012-5_2",
language = "Deutsch",
isbn = "978-3-658-33011-8",
series = "Realit{\"a}tsbez{\"u}ge im Mathematikunterricht",
publisher = "Springer Fachmedien Wiesbaden GmbH and Springer Spektrum",
pages = "11--20",
editor = "Martin Bracke and Matthias Ludwig and Katrin Vorh{\"o}lter",
booktitle = "Neue Materialien f{\"u}r einen realit{\"a}tsbezogenen Mathematikunterricht 8",
}
@article{629c46981b8e4619be0a923278cba108,
title = "Development of pre-service teachers{\textquoteright} noticing competencies within a mathematical modelling context: a case study",
abstract = "Mathematical modelling is challenging for students as well as for teachers. Thus, fostering teachers{\textquoteright} competencies to teach mathematical modelling is an essential component of teacher education. Recent research on teachers{\textquoteright} competencies pays increasing attention to the role of noticing conceptualised as situation-specific competencies necessary for actions within the classroom. These situation-specific noticing competencies are needed for the teacher to react to unanticipated approaches and unforeseen obstacles students may encounter when working on modelling problems.To assess these competencies, videos can be used to simulate real classroom situations and measure the skills necessary for a spontaneous and adequate diagnosis and action. In this paper, the development of pre-service teachers{\textquoteright} noticing competencies within a mathematical modelling context is analysed by qualitatively comparing pre- and post-test data. A modelling seminar at the master{\textquoteright}s level served as an intervention. Three pre-service teachers were selected, and their competence development is analysed qualitatively in-depth regarding growth indicators. The pre-service teachers showed different trajectories of learning. These were manifested in different ways anddiffered concerning the topics of students{\textquoteright} difficulties, use of metacognitive strategies and approaches used to solving the problem.",
keywords = "mathematical modelling, teacher competencies, noticing, pre-service teachers, teaching mathematical modelling",
author = "Alina Alwast and Katrin Vorh{\"o}lter",
year = "2021",
doi = "10.48489/QUADRANTE.23659",
language = "English",
volume = "30",
pages = "293--314",
journal = "Quadrante",
issn = "0872-3915",
publisher = "Associa{\c c}{\~a}o de Professores de Matem{\'a}tica",
number = "2",
}
@inbook{cbef1120ab2b4a608fe00c39487d57e4,
title = "Wie ver{\"a}ndert sich die professionelle Unterrichtswahrnehmung von Studierenden?",
keywords = "Professionelle Unterrichtswahrnehmung, Mathematisches Modellieren",
author = "Alina Alwast and Katrin Vorh{\"o}lter",
year = "2020",
doi = "10.17877/DE290R-21198",
language = "Deutsch",
pages = "1189--1192",
editor = "Hans-Stefan Siller and Wolfgang Weigel and W{\"o}rler, {Jan Franz}",
booktitle = "Beitr{\"a}ge zum Mathematikunterricht 2020",
publisher = "WTM, Verl. f{\"u}r wiss. Texte u. Medien",
}
@inbook{5f3905fbadde4e43879843b45f1b8da3,
title = "Enhancing future teachers{\textquoteright} situation-specific modelling competencies by using staged videos",
abstract = "Although discussed frequently, there is still a gap between theory conveyed at university and the teachers{\textquoteright} practical work at school after finishing their degree, which can lead to the problem that new teachers do not act based on theoretical constructs although they know about them. The paper describes an innovative project, which aims at tackling this problem and fostering teachers{\textquoteright}situation-specific competencies by helping future teachers making their knowledge applicable. Therefore, staged video vignettes are created to support future teachers episodical memory through repeated practice with videos, which simulate real classroom situations. This theoretically informed paper focuses on identifying criteria for staged video vignettes based on the concept of teacher{\textquoteright}s expertise in mathematical modelling, using those when creating video vignettes and implementing them in an innovative learning environment.",
keywords = "mathematical modelling, situation-specific skills, noticing, staged videos, Video vignettes",
author = "Alina Alwast and Katrin Vorh{\"o}lter",
year = "2019",
language = "English",
booktitle = "Eleventh Congress of the European Society for Research in Mathematics Education",
}
@inbook{5d79e22dd11d4c0fb314117ea75033d0,
title = "Verwendung gestellter Videovignetten zur F{\"o}rderung der professionellen Unterrichtswahrnehmung bei Studierenden",
keywords = "Professionelle Unterrichtswahrnehmung, Videovignetten, Mathematisches Modellieren",
author = "Alina Alwast and Katrin Vorh{\"o}lter",
year = "2019",
doi = "10.17877/DE290R-20642",
language = "Deutsch",
pages = "1105--1108",
editor = "Andreas Frank and Stefan Krauss and Karin Binder",
booktitle = "Beitr{\"a}ge zum Mathematikunterricht 2019",
publisher = "WTM, Verl. f{\"u}r wiss. Texte und Medien",
}