Search

Search Results

• Über die sogenannte Regel von de l’Hospital im Mathematikunterricht

  193-208

  Sándor Kovács

  Views:

  7

  The aim of this paper is to provide an insight into the problems of the socalled indeterminate expressions, in order to make the students understand them better. The paper deals with the conditions and the proof of the theorem about the limit of a quotient of certain functions of one variable, usually named after l'Hospital. The question is of some interest, since the formulation of the result in several textbooks often appears redundant and the proof is more complex than necessary. First, the historical background is briefly sketched. Second, the theorem is formulated and justified, where three different, simple proof techniques are presented. Finally, possible applications are suggested for teaching, which are usually not treated in this problem area.

• Wichtige Momente aus der ungarischen Geschichte des Analysisunterrichts

  57-76

  Ödön Vancsó

  Hana Burian

  Views:

  76

  Törner et al. (2014) paper gives an outstanding review about teaching analysis at high school level in (Western) Europe. We tried to extend this paper with some results from the Hungarian Math History (Beke and Rátz 1897-1924, after second World War 1949-1960, the current situation-first of all based on schoolbooks, and we also included an experiment from 1984-1989 by E. Deák, which was interrupted and partially forgotten). In summary, this paper deals with the turning points of the brief history of teaching secondary school analysis in the XXth century in Hungary, including some conclusions at the end.

  Subject Classification: 97A30, 97C30, 97D30, 97E50, 97I20, 97I40, 97U20