Günter Törner

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Günter Törner (born July 29, 1947 in Gießen ) is a German mathematician and university professor . In over 100 specialist publications and monographs, as an organizer of international conferences and projects in mathematics and mathematical education and as a member of various scientific societies, he deals with questions from the areas of discrete mathematics , (non-commutative) algebra , optimization calculations and mathematics didactics .

Life

Törner studied from 1968 at the University of Gießen , where he graduated in 1972 and received his doctorate in 1974 under Benno Artmann and Günter Pickert with the thesis A Classification of Hjelmslev Rings and Hjelmslev Plains . Törner also completed his habilitation in Giessen on the structure of the Hjelmslev levels . He completed his studies and doctoral studies as a scholarship holder of the German National Academic Foundation , and his dissertation was recognized by the University of Giessen. After a stopover from 1975 to 1978 as a lecturer in mathematics didactics at the Technical University of Darmstadt and in 1978 as a scientific adviser and professor at the University of Paderborn , he followed a call for mathematics and didactics in 1978 at the age of 31 Mathematics at the University of Duisburg-Essen , where he is still active today as the head of the Discrete Mathematics, Algebra group. Here he supervised over 10 mathematics doctoral students and doctoral students in mathematics didactics. Törner was or is a board member of the German Mathematicians Association (DMV) , member of the Society for Operations Research , Chairman of the Mathematical Education Committee of the European Mathematical Society , founding member of the German Center for Teacher Education Mathematics (DZLM) and advisory board member of the Society for Didactics of math .

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Törner started his scientific research with the consideration of so-called Hjemslev levels (H levels) . These are projective incidence structures in which two points u. U. have more than one straight connecting line or two straight lines have more than one intersection - which takes into account the clear “blurring” in real drawing. In the Desarguese case , the coordination problem is solved, so-called Hjemslev rings (H rings) result as coordinate areas . H-rings (not necessarily commutative) are local rings whose left (right) ideal association is linearly ordered - Törner calls such rings chain rings - whose zero divisors are bilateral and form the maximum ideal . These rings in turn lead to the non-commutative evaluation rings . One focus of Törner's research in more than 40 articles is the so-called right chain rings, especially in the finite case. They are used in fields as diverse as coding theory , scheduling theory, and optimization theory .

Another focus of Törner's interests are the learning objectives, content and teaching methods in teaching mathematics. Up until the 1980s, the problem-solving method was only the focus of mathematics classes in the USA, and his publications and monographs have made this aspect part of German curricula. While dealing with this topic he came across misleading and inadequate mathematical norms, beliefs, background theories and (guiding) ideas about mathematics. While there was again only numerous research work on "mathematical beliefs" in America until well into the nineties, Törner was then the initiator of a series of workshops in the Mathematisches Institut Oberwolfach and subsequent proceedings and monographs with this focus . Ultimately, Törner is a founding member of the DZLM , a central point of contact for teacher training in mathematics across federal states , co-initiated by the Deutsche Telekom Foundation in 2005 . Here he focused on offers for teachers who train and support others in the sense of a multiplier principle, bundled among other things in the programs Mathematics become differently. and Continuous Professional Development CPD

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Individual evidence

  1. ^ HH Brungs, Y. Li: About Günter Törner and his work. In: Proficiency and Beliefs in Learning and Teaching Mathematics. 2013, pp. 19–29. doi: 10.1007 / 978-94-6209-299-0_3
  2. ↑ G. Törner: A classification of Hjelmslev rings and Hjelmslev planes. In: Mitt. Math. Sem. Gießen. Volume 107, 1974.
  3. ^ W. Klingenberg : Desargue planes with neighboring elements. In: Dep. Math. Sem. Hamburg. Volume 20, 1955, pp. 97-111. doi: 10.1007 / BF02960742
  4. ^ HH Brungs, G Törner: Chain rings and prime ideals In: Archives of Mathematics. Volume 27, 1976, pp. 253-260. doi: 10.1007 / BF01224668
  5. ↑ G. Törner: About a problem from Klingenberg. In: Archives of Mathematics. Volume 28, 1977, pp. 253-254. doi: 10.1007 / BF01223917
  6. ^ B. Artmann, G. Törner: Linear Algebra - a basic and advanced course. 2nd Edition. Vandenhoeck & Ruprecht, Göttingen 1988.
  7. ^ W. Blum, G. Törner: Didaktik der Analysis. Vandenhoeck & Ruprecht, Göttingen 1983.
  8. ^ AH Schoenfeld, G. Törner, K. Reiss: Problem solving around the world: summing up the state of art. In: ZDM - the International Journal on Mathematics Education. Volume 39, 2007. doi: 10.1007 / s11858-007-0053-0
  9. ↑ G. Törner: Mathematical world views of teachers. In: KP Müller (Ed.): Lectures at the 30th Federal Conference for Didactics from March 4 to 8, 1996 in Regensburg. Franzbecker, Hildesheim 1996, ISBN 3-88120-274-9 , pp. 433-436.
  10. ↑ G. Leder, G. Törner, E. Pehkonen: Beliefs - a hidden variable in mathematics education? (= Mathematics Education Library ). Kluwer Academic Publishers, Dordrecht 2002. doi: 10.1007 / 0-306-47958-3
  11. ↑ B. Rösken, G. Törner: Mathematics done differently - An innovative approach to furthering the professional development of German teachers. Paper presented at the Annual Conference of the American Educational Research Association, New York, USA, March 24-28, 2008.
  12. ↑ B. Rösken, G. Törner: Teacher graduation as a means of continuing professional development. In: Journal of Mathematics Teacher Education. (JMTE), Special Issue on Teacher Change, 2009.
personal data
SURNAME Törner, Günter
BRIEF DESCRIPTION German mathematician and university professor
DATE OF BIRTH July 29, 1947
PLACE OF BIRTH to water