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Dieser Band, der Beiträge zur Arbeitstagung des Kompetenzzentrums Hochschuldidaktik Mathematik (khdm) an der Universität Paderborn aus dem Frühjahr 2013 zusammenträgt, gibt einen Einblick in die aktuelle mathematikbezogene, hochschuldidaktische Forschung und präsentiert viele gute Beispiele zur Verbesserung der mathematischen Hochschullehre. Es werden Forschungsergebnisse und Erfahrungen aus der Praxis zum Übergang Schule Hochschule, zu Vor- und Brückenkursen und zum ersten Studienjahr bezogen auf die Studiengänge Bachelor und gymnasiales Lehramt Mathematik, Grund-, Haupt- und Realschullehramt Mathematik sowie aus dem Service in den INT-Fächern und den nicht-INT Fächern vorgestellt. Abgerundet wird der Band durch Diskussionsbeiträge, welche die hochschuldidaktische Diskussion und Forschung anregen sollen. Die Zielgruppen Wissenschaftler und Mathematiklehrende an Schulen und Hochschulen, die an Lehrinnovationen und der Übergangsproblematik Schule Hochschule Interesse haben. Die Bandherausgeber Axel Hoppenbrock, Universität Paderborn, Institut für Mathematik Prof. Dr. Rolf Biehler, Universität Paderborn, Institut für Mathematik Prof. Dr. Reinhard Hochmuth, Leibniz Universität Hannover, Institut für Didaktik der Mathematik und Physik und Leuphana Universität Lüneburg Prof. Dr. Hans-Georg Rück, Universität Kassel, Fachbereich für Mathematik und Naturwissenschaften, Institut für Mathematik Alle Herausgeber sind Mitglieder der Geschäftsführung des Kompetenzzentrums Hochschuldidaktik Mathematik (khdm).

Mathematics. --- Mathematics --- Mathematics. --- Mathematics Education. --- Study and teaching .

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This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years. Drawing on the most recent journal publications as well as the latest advances from recent high-quality conference proceedings, our review culls out the following five emergent areas of interest: mathematics teaching at the tertiary level; the role of mathematics in other disciplines; textbooks, assessment and students’ studying practices; transition to the tertiary level; and theoretical-methodological advances. We conclude the survey with a discussion of some potential directions for future research in this new and rapidly evolving domain of inquiry.

Teacher education. Teacher's profession --- Didactics --- Teaching --- Didactics of mathematics --- Higher education --- HO (hoger onderwijs) --- didactiek --- onderwijs --- studeren --- opvoeding --- wiskunde --- account management --- lerarenopleiding --- lesgeven

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The book presents developmental outcomes from an EU Erasmus+ project involving eight partner universities in seven countries in Europe. Its focus is the development of mathematics teaching and learning at university level to enhance the learning of mathematics by university students. Its theoretical focus is inquiry-based teaching and learning. It bases all activity on a three-layer model of inquiry: (1) Inquiry in mathematics and in the learning of mathematics in lecture, tutorial, seminar or workshop, involving students and teachers; (2) Inquiry in mathematics teaching involving teachers exploring and developing their own practices in teaching mathematics; (3) Inquiry as a research process, analysing data from layers (1) and (2) to advance knowledge inthe field. As required by the Erasmus+ programme, it defines Intellectual Outputs (IOs) that will develop in the project. PLATINUM has six IOs: The Inquiry-based developmental model; Inquiry communities in mathematics learning and teaching; Design of mathematics tasks and teaching units; Inquiry-based professional development activity; Modelling as an inquiry process; Evalutation of inquiry activity with students. The project has developed Inquiry Communities, in each of the partner groups, in which mathematicians and educators work together in supportive collegial ways to promote inquiry processes in mathematics learning and teaching. Through involving students in inquiry activities, PLATINUM aims to encourage students` own in-depth engagement with mathematics, so that they develop conceptual understandings which go beyond memorisation and the use of procedures. Indeed the eight partners together have formed an inquiry community, working together to achieve PLATINUM goals within the specific environments of their own institutions and cultures. Together we learn from what we are able to achieve with respect to both common goals and diverse environments, bringing a richness of experience and learning to this important area of education. Inquiry communities enable participants to address the tensions and issues that emerge in developmental processes and to recognise the critical nature of the developmental process. Through engaging in inquiry-based development, partners are enabled and motivated to design activities for their peers, and for newcomers to university teaching of mathematics, to encourage their participation in new forms of teaching, design of teaching, and activities for students. Such professional development design is an important outcome of PLATINUM. One important area of inquiry-based activity is that of “modelling” in mathematics. Partners have worked together across the project to investigate the nature of modelling activities and their use with students. Overall, the project evaluates its activity in these various parts to gain insights to the sucess of inquiry based teaching, learning and development as well as the issues and tensions that are faced in putting into practice its aims and goals.

Mathematics --- Educational: Mathematics & numeracy --- students, development of teaching, mathematics learning, university mathematics, inquiry-based teaching, inquiry, intellectual outcomes --- Logic --- Higher Education --- Educational Psychology --- Individual Psychology --- Personality Psychology --- Behaviorism --- Methodology and research technology --- Pedagogy

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In der Wissenschaft sind Erkenntnisziele, aber auch ein spezieller Weltaufschluss angelegt. Diesen zu vermitteln, ist Aufgabe der Wissenschaftsdidaktik. Was aber bedeutet es, Wissenschaft institutionell zu einem Gegenstand des Lehrens und Lernens zu machen? Die Beiträger*innen Bandes liefern mit einem inter- und transdisziplinären Ansatz Antworten auf diese Frage der Wissenschaftsdidaktik. Sie untersuchen aus ihrer fachwissenschaftlichen Perspektive, wie Lehren, Studieren und wissenschaftliches Denken und Handeln disziplinär zusammenhängen.

EDUCATION / Organizations & Institutions. --- Education. --- Educational Research. --- Experiment. --- Hermeneutics. --- Methodology. --- Paradigm. --- Pedagogy. --- Professional Orientation. --- Science Didactics. --- Science. --- Sociology of Education. --- Sociology of Science. --- Subject Didactics. --- University.