Arnold Kirsch

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Arnold Kirsch (born January 13, 1922 in Sagan ; † October 14, 2013 in Kassel ) was a German professor for mathematics didactics at the University of Kassel .

Life

From 1945 Kirsch studied mathematics and physics for the teaching post at grammar schools at the University of Göttingen with the first state examination in 1950. He then continued his studies at the University of Bern , where he received his doctorate in 1951 under Hugo Hadwiger ( On the decomposition of functions and integration in abstract Clearing ). After his legal clerkship and the second state examination in 1953, he was a teacher in Soltau and Göttingen . From 1963 he was a student assistant to Günter Pickert in Gießen, from 1966 professor at the University of Education in Göttingen and from 1971 until his retirement in 1987 professor for mathematics didactics at the then comprehensive university and later University of Kassel.

With the Behnke student Heinz Griesel , he founded a Kassel school of mathematics didactics , in which he dealt in particular with material didactics of analysis, growth processes and exponential function, geometry and number ranges. In addition to mathematics didactics, he also published works as a mathematician in geometry. He worked for over 30 years on the textbook series Mathematik heute (Schroedel Verlag), but his concepts were also found in many other German-language textbooks.

In 1976 he gave a main lecture at the International Congress for Mathematics Didactics in Karlsruhe (ICME-3) with the title Aspects of simplification in mathematics teaching . He was an honorary member of the Society for Didactics of Mathematics (GDM).

Kirsch was editor of the mathematical semester reports and the journal for mathematics-didactics and the series Modern Mathematics in elementary representation (with Benno Artmann ) for Vandenhoeck and Ruprecht.

Fonts

Books:

  • Elementary number and size ranges, Modern Mathematics series in elementary representation, Vandenhoeck & Ruprecht, Göttingen 1970
  • with Falk Zech: Affine geometry of the plane. Klett, Stuttgart 1972
  • Really understand math. An introduction to their basic concepts and ways of thinking. Aulis, Cologne 1987, 2nd edition 1994.

Some essays:

  • Proposals for the treatment of growth processes and exponential functions in middle school classes, Didaktik der Mathematik, 4, 1976, pp. 257–284
  • An analysis of commercial arithmetic, Educational Studies in Mathematics, 1, 1969, pp. 300–311 (rule of three )
  • with Werner Blum: The two main principles of differential and integral calculus, Mathematik Lehren, 78, 1996, pp. 60–65.
  • The main clause — vivid?, Mathematik Lehren, 78, 1996, pp. 55–59.
  • with Werner Blum: For the conception of analysis lessons in basic courses, Der Mathematikunterricht, 25, Heft 3, 1979, pp. 6–24.
  • A geometric characterization of the “differentiability” of a function, Mathematisch-Physikalische Semesterberichte, 7, 1960, pp. 96–110.
  • On the treatment of real numbers in upper school classes, in: H. Schröder (Hrsg.), Der Mathematikunterricht im Gymnasium, Schroedel Verlag, Hanover 1966, pp. 215-227
    • What prior knowledge in axiomatic thinking can the grammar school impart? , L´Enseignement Mathématique, Volume 12, 1966, Issue 1/2, p. 125, online
  • “Understanding what can be understood” - also in application-oriented mathematics lessons, Didaktik der Mathematik, 23, 1995, pp. 250–264
  • Aspects of simplification in mathematics teaching, in: H. Athens, H. Kunle (ed.), Proceedings of the Third International Congress on Mathematical Education, Karlsruhe 1976, pp. 98-119

As editor:

  • Editor with Karl Peter Grotemeyer : Mathematics at school and university: Dedicated to Heinrich Behnke on his 65th birthday , Vandenhoeck and Ruprecht 1964 (also Math.-Phys. Semester reports, Volume 10, 1963, Volume 11, 1964)

He also gave the classic introductory work by Richard Courant and Harold Robbins What is Mathematics? in German translation by Iris Runge published by Springer Verlag, which was first published in 1962.

Web links

Individual evidence

  1. ^ Arnold Kirsch in the Mathematics Genealogy Project (English) Template: MathGenealogyProject / Maintenance / id used. Published in the Mathematische Annalen, Volume 124, 1952, pp. 343-363
  2. ↑ Werner Blum, appreciation in Zentralblatt für Didaktik der Mathematik (ZDM), Volume 42, 2014, 697-698, see web links
personal data
SURNAME Kirsch, Arnold
BRIEF DESCRIPTION German professor for mathematics didactics at the University of Kassel
DATE OF BIRTH January 13, 1922
PLACE OF BIRTH Sagan
DATE OF DEATH October 14, 2013
Place of death kassel