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Der operative Beweis als didaktisches Instrument in der Hochschullehre Mathematik

In: Mit Werkzeugen Mathematik und Stochastik lernen – Using Tools for Learning Mathematics and Statistics

Author

Listed:
  • Leander Kempen

    (Universität Paderborn, Kompetenzzentrum Hochschuldidaktik Mathematik (KHDM))

Abstract

Zusammenfassung Dieser Beitrag berichtet von einer Studie, in der 64 Hausaufgabenbearbeitungen von Erstsemesterstudierenden zum operativen Beweis analysiert und kategorisiert wurden. Im Kontext einer neu entwickelten Brückenkursvorlesung sollten Betrachtungen von beispielgebundenen Beweisen den Übergang zum formalen Beweis bereiten. Die Ergebnisse zeigten jedoch, dass für die Studierenden die Unterscheidung zwischen einem beispielgebundenen Beweis und einer Verifikation anhand einiger Beispiele problematisch ist. Am Ende des Beitrags werden Folgerungen für den Einsatz operativer Beweise in der Lehrveranstaltung dargestellt.

Suggested Citation

  • Leander Kempen, 2014. "Der operative Beweis als didaktisches Instrument in der Hochschullehre Mathematik," Springer Books, in: Thomas Wassong & Daniel Frischemeier & Pascal R. Fischer & Reinhard Hochmuth & Peter Bender (ed.), Mit Werkzeugen Mathematik und Stochastik lernen – Using Tools for Learning Mathematics and Statistics, edition 127, chapter 0, pages 463-470, Springer.
    • Handle: RePEc:spr:sprchp:978-3-658-03104-6_33
    DOI: 10.1007/978-3-658-03104-6_33
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