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| 1992 - 1993 | Research Assistant, University of Bonn | | 1993 - 1997 | PhD, University of Nijmegen, Netherlands (advisor: Prof. Dr. J.H.M. Steenbrink) | | 1997 - 1998 | Postdoc, University of Utrecht, NWO-Project, Netherlands | | 1998 - 1999 | Postdoc, Heinrich-Heine-University Düsseldorf | | 1999 - 2000 | Assistant Professor (C1), Heinrich-Heine-University Düsseldorf | | 2000 - 2001 | Teacher Education, University of Nijmegen, Netherlands (after a first phase in 1996) | | 2000 - 2005 | Mathematics Teacher, Canisius College Nijmegen, Netherlands | | 2001 - 2007 | Assistant Professor, Graduate School of Teacher Education, University of Nijmegen, Netherlands | | 2005 - 2006 | Assistant Professor, Technical University Delft, Netherlands | | 2006 - 2007 | Head of Teacher Education, University of Nijmegen, Netherlands | | 2007 - 2013 | Professor (W3) of Mathematics and its Education, University of Cologne | | Since 2013 | Professor (W3) of Mathematics and its Education, University of Bonn |
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In my current research, I am interested in subject-matter questions oriented towards mathematics teaching (so-called Stoffdidaktik). Recent works explored particular approaches to certain notions from analysis, algebra and projective geometry, all of them based on or related with historical ideas. These works are conceptualized in contributions reflecting more general features of the role and the use of mathematics history in teaching. Moreover, I am interested in epistemological consequences and changes for the mathematical development in students, which are caused by the employment of digital tools. Finally, I am always concerned with questions of elementary mathematics for various purposes in mathematics education like for instance the Bundeswettbewerb Mathematik, the Bonner Mathematikturnier, the macht mathe competitions and various maths camps and student activities. My research concerns moreover intervention research in cooperation with mathematics teachers (see math-il.de). In the role of adviser, this work is pursued in three projects of my PhD students.
In the future, I will still be concerned with subject-matter didactics in relation to history of mathematics that are relevant for mathematics teaching in school and in the early years of university. As far as epistemological questions in mathematics education are concerned, I further strive for a better understanding of mathematical awareness (in particular in relation to digital tools). Given the presently predominant competence and output orientation, the overall interest of mathematics education in the future must be to develop a modern practice of mathematics teaching that gives access to the rich mathematical culture and tradition again. How can mathematics teaching be sustainable in mathematical culture? For this, my interest is to understand better the interplay of traditions in mathematics teaching with the influence of normative theories of pedagogical psychology. Moreover, in dealing with the above mentioned research activities, there will always be aspects of elementary mathematics that call my attention and invite to contribute to the mathematical culture in mathematics education.
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“Epistemology and History of Mathematics in Teaching”, ongoing Research Project with the Group of Prof. Dr. Ysette Weiss from the Johannes Gutenberg University of Mainz
International Scientific Program Committee of the Eighth European Summer University on History and Epistemology in Mathematics Education (ESU-8), 20 to 24 July 2018 at Oslo & Akershus University College of Applied Sciences, Oslo, Norway
“Differential Calculus from a Different Point of View”, ongoing Research Project with Assoc.-Prof. Dr. Christoph Kirfel, University of Bergen, Norway
“Variatio Delectat!”, Common Research Project with Prof. Dr. Gert Heckman, Dr. Helma Oolbekkink and Chris Kooloos (PhD Student) from the Radboud University of Nijmegen.
Chairman (with Dr. Robert Strich) of the National Exercise Committee, Federal Mathematics Competition (Vorsitz Aufgabenkommission, Bundeswettbewerb Mathematik)
Advisory Board, German Mathematical Olympiad (Beirat Mathematik-Olympiaden Deutschland)
since 2016
Exercise Committee for Mathematics B-day, Utrecht University (in Germany: macht mathe Wettbewerbe, NRW),
since 2004
GeoGebra-Institute Cologne-Bonn, Founding Member,
since 2010
math-il.de Mathematical Internet Laboratory for Cooperation and Collaboration with Maths Teachers
Bonn Mathematics Tournament,
since 2008 (2008 - 2012 in Cologne)
International Kangaroo Camp, Werbellinsee, annually since 2006
Week of Mathematics Study for high school students (Bonner SchülerInnenwoche Mathematik), since 2014
Past activities in committees:
Dutch Teaching Commission Mathematics, NOCW
Member, 2005 - 2008
cTWO, Committee for the Reform of Mathematics Teaching, Ministery for Teaching, Culture and Science, www.ctwo.nl
Member, 2005 - 2008
The Education Committee of the European Mathematical Society
Member, 2005 - 2008
Programmacommissie Vakantiecursus Wiskunde, Zentrum für Mathematik und Informatik CWI, Amsterdam, Netherlands
Member, 2005 – 2008
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[ 2] Christoph Kirfel, Rainer Kaenders
101.05 Integration by symmetry
Math. Gaz. , 101: (550): 99--103
2017
DOI: 10.1017/mag.2017.13[ 3] Rainer Kaenders, Y. Weiss-Pidstrygach
Skalen und Nomogramme
Perspektivwechsel bei der Begriffsentwicklung in der Analysis. Der Mathematikunterricht , 61: (4)
2015[ 4] Rainer Kaenders
Funktionen kann man nicht sehen. In: R. Kaenders & R. Schmidt (Hrsg) Mit GeoGebra mehr Mathematik verstehen
Vieweg-Teubner, Wiesbaden
2011[ 5] Rainer Kaenders, L. Kvasz
Mathematisches Bewusstsein. In: Helmerich, M., Lengnink, K., Nickel, G., Rathgeb, M., (Hrsg). Mathematik verstehen - philosophische und didaktische Perspektiven
Vieweg
2011[ 6] Rainer Kaenders
Von Wiskunde und Windmühlen - über den Mathematikunterricht in den Niederlanden, Beiträge zum Mathematikunterricht, Hauptvortrag GDM-Tagung in Oldenburg, GDM
WTM-Verlag Münster
2009[ 7] Rainer Kaenders
Zahlbegriff zwischen dem Teufel und der tiefen See
Der Mathematikunterricht , 52: (5)
2006[ 8] Rainer H. Kaenders
The mixed Hodge structure on the fundamental group of a punctured Riemann surface
Proc. Amer. Math. Soc. , 129: (5): 1271--1281
2001
DOI: 10.1090/S0002-9939-00-05675-6[ 9] Ludwig Balke, Rainer Kaenders
On a certain type of Coxeter-Dynkin diagrams of plane curve singularities
Topology , 35: (1): 39--54
1996
DOI: 10.1016/0040-9383(95)00010-0[ 10] Rainer Kaenders
The Seifert form of a plane curve singularity determines its intersection multiplicities
Indag. Math. (N.S.) , 7: (2): 185--197
1996
DOI: 10.1016/0019-3577(96)85089-0 |
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• International Scientific Program Committee of the Eighth European Summer University on History and Epistemology in Mathematics Education (ESU-8), 20 to 24 July 2018 at Oslo & Akershus University College of Applied Sciences, Oslo, Norway.
• Fachkulturen in der Lehrerbildung. Reihe Wissenschaft und Lehrerbildung (publ. with P. Geiss, R. Ißler, 2016)
• Scientia in Educatione (Editorial Board, since 2016)
• Perspektivwechsel bei der Begriffsentwicklung in der Analysis. Der Mathematikunterricht, 61(4) (2015)
• Mit GeoGebra mehr Mathematik verstehen: Beispiele für die Förderung eines tieferen Mathematikverständnisses aus dem GeoGebra Institut Köln/Bonn (publ. with Reinhard Schmidt, 2014)
• Mit GeoGebra mehr Mathematik verstehen: Beispiele für die Förderung eines tieferen Mathematikverständnisses aus dem GeoGebra Institut Köln/Bonn (publ. with Reinhard Schmidt, 2011)
• Nieuw Archief voor Wiskunde, Zeitschrift der „Königlichen Mathematikervereinigung“ KWG (3/2003 - 11/2007)
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| 1993 | Felix-Hausdorff-Gedächtnispreis, University of Bonn | | 1993 | Marie Curie Research Fellow, 5/93 - 4/95, University of Nijmegen, Netherlands | | 1995 | Maître des Conférences invité, University of Angers, France | | 1996 | NWO-Grant, 1/96 - 4/96, with Prof. Dr. R. Hain, Duke University, NC, USA |
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| 2009 | “Von Wiskunde und Windmühlen: Über den Mathematikunterricht in den Niederlanden”, Keynote Lecture GDM-Tagung Oldenburg | | 2014 | “Parabool en kettinglijn, hyperbool en lemniscaat, Jakob en Johann”, Johann Bernoulli Lecture 23, University of Groningen, Netherlands | | 2017 | “Raaklijn en oppervlakte bij een functie meetkundig afgeleid”, Leon van den Broek Lezing, WiskundeDialoog 2017, Radboud Universiteit Nijmegen, Netherlands | | 2018 | “Over wiskundige taalniveaus en het niveau van wiskundige taal”, Het Wintersymposium van het Koninklijk Wiskundig Genootschap, Academiegebouw te Utrecht, Netherlands |
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Stephan Berendonk (2014): “Erkundungen zum Eulerschen Polyedersatz – Genetisch, explorativ, anschaulich”,
now Postdoc, University of Bonn
Jennifer Klenzan (2014): “Selbstregulation im Mathematikunterricht gemeinsam entwickeln – Entwicklung, Durchführung und Evaluation einer Interventionsstudie zur Förderung von Selbstregulation im schulischen Kontext”
Mareike Mink (2016): “Geometrische Begriffsentwicklung anhand technischer Anwendungen der Kinematik”
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- PhD theses: 5, currently 2
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