Walther Lietzmann

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Lietzmann (top left) in Zurich in 1932
Göttingen, Stadtfriedhof: grave of Professor Walt (h) er Lietzmann

Karl Julius Walther Lietzmann (born August 7, 1880 in Drossen , † July 12, 1959 in Göttingen ) was a German mathematician , pedagogue and influential maths didactic .

life and work

Lietzmann did his doctorate in 1904 with David Hilbert on the biquadratic reciprocity law in algebraic number fields. He went to school (from 1906 in Barmen , from 1914 in Jena ) and from 1919 until his retirement in 1946 was director of the Oberrealschule (with Reformrealgymnasium) in Göttingen . In 1918 he was elected a member of the Leopoldina .

In 1920 he became a lecturer and in 1934 honorary professor for pedagogy of the exact sciences at the University of Göttingen. He played a major role in Felix Klein's program to reform mathematics teaching in secondary schools, and “his” Göttingen grammar school today bears his name.

For decades Lietzmann wrote and revised textbooks for mathematics lessons . His method of teaching mathematics had a lasting influence on the didactic training of mathematics teachers.

From 1928 to 1932 he was secretary of the International Mathematical Teaching Commission (IMUK) founded in 1908 , which had been under the chairmanship of Klein until 1920. In 1937 he was President of the German Mathematicians Association .

bibliography

Main didactic work

Lietzmann had a lasting effect on teacher training through his main work Methodology of Mathematical Lessons. The revision, published after the Second World War , bears the same title as the work first published during the First World War , but opens up a new edition count.

  • Methodology of mathematics teaching. 3 parts in 3 volumes. I: Organization, general method and technique of teaching. II. Didactics of the individual areas of mathematics teaching. III. Didactics of applied mathematics. 1st edition in the manual of natural science and mathematical teaching , ed. by J. Norrenberg, Leipzig, Quelle & Meyer (ca.1916). Second edition 1923–1926.
  • Methodology of mathematics teaching . 1st edition 1951 in two volumes: The lessons and the curriculum . Posthumously united in one volume from the 3rd edition. The 3rd edition was edited by Richard Stender (1961), the 4th by Horst Jahner (1968), the 5th by H. Jahner and Dietrich Pohlmann (1978); the 6th edition (1985) was an unchanged reprint of the 5th edition.

Textbooks

Lietzmann was the author and co-author of numerous textbooks that appeared in different editions for different types of schools. Including:

  • With P. Zühlke: Collection of exercises and guidelines for arithmetic, algebra and analysis. Edition B. Leipzig, Berlin: Teubner (1924).
  • With P. Zühlke and B. Fischer: Mathematical teaching work for higher boys' schools (1925?).
  • Mathematical teaching work for higher girls' education institutions: collection of exercises and guidelines for geometry for lower and intermediate levels (5th edition 1928).
  • With J. Jarosch: Mathematical teaching work for middle schools (approx. 1926).
  • With P. Zühlke and H. Willers: Collection of exercises and guidelines for arithmetic, algebra and analysis, upper level . Leipzig: Teubner (5th edition 1931).
  • Collection of exercises and guidelines for geometry. For the lower and intermediate level. Teubner: Leipzig (1935). At least 13 editions.
  • With H. Freund, R. Wölz: Mathematical teaching work. Guide to arithmetic, algebra, etc. Analysis. Intermediate level. (Revised 1955).

Even after the Second World War, Lietzmann remained present on the school book market:

  • Mathematical teaching work. Göttingen: Vandenhoeck & Ruprecht (approx. 2 editions, around 1950–1955).

Smaller fonts

  • Material and method of spatial teaching in Germany. A literature review. Teubner: Leipzig (1912). Reprograph. Reprint Paderborn: Schöningh (1985).
  • With V. Trier: Where is the mistake? Fallacies and student mistakes. Leipzig and Berlin: Teubner (1913).
  • Giants and dwarves in numbers . Leipzig: Teubner (1916).
  • What is money Leipzig, Berlin: Teubner (1918).
  • Epistemology in mathematics lessons in the upper classes. Charlottenburg, Mundus (1921).
  • Clear introduction to multidimensional geometry. Oldenbourg (1952).
  • Funny and strange things about numbers and shapes. Breslau: Ferdinand Hirt (1922). 11th edition Vandenhoeck & Ruprecht (1982).
  • Function and graphic representation. Breslau (1925).
  • as editor, together with W. Hillers: The implementation of the working school principle in mathematical lessons. Leipzig, Berlin: Teubner (1931).
  • Math and fine arts. Breslau: Ferdinand Hirt (1931).
  • Conic section gauge. Leipzig, Berlin: Teubner (1933). Post-war edition under the title Elementare Kegelschnittlehre. Bonn: Dümmler (1949).
  • Living math. Breslau: Ferdinand Hirt (1943), 2nd edition Physica-Verlag (1955). Contents: From the abacus to abacus , graphs and numerical comparison , from sewing, knitting and weaving: Textile geometry , triangles in the field , from the equations of the second degree and the golden ratio , spatial forms , aerial photogrammetry , from maps and by sight , the mathematical method etc .
  • Formal education in mathematics and language classes. Hanover: Hahn (1947).
  • Oddities in the realm of numbers. Bonn: Dümmler (1948).
  • School reform and math lessons. Heidelberg: Quelle & Meyer (1949).
  • The essence of mathematics. Braunschweig: Vieweg (1949).
  • Elementary spherical geometry using numerical and constructive methods. Göttingen: Vandenhoeck & Ruprecht (1949).
  • Oddities in the realm of numbers. Dümmler (1954).
  • Clear topology. Oldenbourg (1955). Translation into English Visual Topology New York: Elsevier (1965).
  • Illustrative arithmetic and algebra. Physica publ. (1956).
  • Experimental geometry. Stuttgart: Teubner (1959).
  • The Pythagorean Theorem. Leipzig: Teubner, 1965.

Writings on the history of mathematics:

  • Old and new from the circle. Leipzig: Teubner, 1935, 1963.
  • Early history of geometry on Germanic soil , Breslau, Ferdinand Hirt, 1940
  • From the mathematics of the elderly , 1928
  • Overview of the history of elementary mathematics , 1926, 2nd edition 1928

Supplementary booklets for the mathematical textbook:

  • Supplement 1: Overview of the history of elementary mathematics.
  • Supplement 3: Structure and Basis of Mathematics. Leipzig, Berlin: Teubner (1927).
  • Supplementary booklet 5: From modern mathematics. Sources on the concept of numbers and equations, the concept of functions and analysis. Leipzig, Berlin: Teubner (1929).

Editorial activity

  • Together with Alexander Witting , Lietzmann published the mathematical-physical library at the BG Teubner publishing house .
  • Together with Heinrich Schotten , Lietzmann was the editor of the journal for mathematical and scientific teaching of all school types . Founded in 1869 by JCV (di Immanuel Carl Volkmar) Hoffmann.
  • With Heinrich Behnke Editing of: Mathematical-physical semester reports: To maintain the connection between school and university. Vol. I (1949) to Vol. X (1963). Gött., V&R

Life memories

From my memoirs / on behalf of Walter and Käthe Lietzmann ed. by Kuno Fladt. Göttingen: Vandenhoeck & Ruprecht (1960).

Individual evidence

  1. ↑ Arno Spangenberg: Felix Klein and Göttingen ( Memento of the original from May 6, 2010 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.fkg.goe.ni.schule.de

literature

Web links

Commons : Walter Lietzmann  - Collection of images, videos and audio files
personal data
SURNAME Lietzmann, Walther
ALTERNATIVE NAMES Lietzmann, Karl Julius Walther (full name)
BRIEF DESCRIPTION German mathematician, pedagogue and mathematics didactician
DATE OF BIRTH August 7, 1880
PLACE OF BIRTH Drossen
DATE OF DEATH July 12, 1959
Place of death Goettingen