Search

Search Results

• The influence of computer on examining trigonometric functions

  111-123

  Djurdjica Takači

  Radivoje Stojković

  Jasminka Radovanović

  Views:

  23

  In this paper the influence of computer on examining trigonometric functions was analyzed throughout the results questionnaire. The students, as usual, had to examine two trigonometric functions, both were given with the appropriate instructions. Three groups were tested. Two of those three groups were prepared with the help of computer and the third one was taught without computer. From the analysis of the questionnaire it follows that the computer has a great influence on understanding of the connections between the graph and very complex calculations.

• Assimilation of mathematical knowledge using Maple

  321-331

  Zoltán Kovács

  László Kozma

  Views:

  41

  For more than four years we have been teaching a Maple course at University of Debrecen for prospective mathematics teachers. The aim of the course is that students get some experience on mathematical visualization with Maple. At the last part of the course the student is provided with a problem of geometrical flavor. Within three or four weeks he/she must obtain a solution. In this paper we present and analyze two of student projects: rotation of the hypercube and drawing of complex functions. The concluding remark is that most of the students will profit from using Maple for such type of problems: it helps to assimilate mathematical knowledge.

• Figures to the article "Assimilation of mathematical knowledge using Maple" on pages 321-331. (color plate)

  423

  Zoltán Kovács

  László Kozma

  Views:

  9

  Color plate

• 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.