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• On an international training of mathematically talented students: assets of the 20 years of the “Nagy Károly Mathematical Student-meetings”

  77-89

  Sándor Kántor

  Tünde Kántor

  Views:

  33

  The focus of this paper is to present the gems of the "Nagy Károly Mathematical Student-meetings" in Rév-Komárom (Slovakia) from 1991 to 2010. During these 20 years there was done a lot of work to train mathematically talented students with Hungarian mother tongue and to develop their mathematical thinking, and to teach them problem solving and heuristic strategies for successful acting on the competitions. We collected the most interesting problems and methods presented by the trainer teachers.

• Supporting the theory of math didactic using knowledge-measuring questions and analysis of the solutions

  1-16

  Sándor Kántor

  Péter Fejes-Tóth

  Views:

  28

  New or rediscovered results presented in this paper are the results of the analysis of the problem sets used in the two-tier system secondary school final examination in mathematics, a system that was introduced in Hungary in 2005.
  Many of the revealed problem arise in connection with misunderstanding the text of the problems. Causes of misinterpretation can be either that the text is lacking some important information, or that it should be interpreted not in word-to-word manner.
  Theses and their argumentations presented here refer partly on the new types of problems (tests, non-standard mathematical contents), and partly on improvement of learning-teaching process in topics of equations and approximations.

• Conventions of mathematical problems and their solutions in Hungarian secondary school leaving exams

  137-146

  Sándor Kántor

  Anna K. Fazekas

  Views:

  8

  Collecting and analyzing the conventions indispensable for interpreting mathematical problems and their solutions correctly assist successful education and objective evaluation. Many professional and didactic questions arose while collecting and analyzing these conventions, which needed clarification, therefore the materials involved concisely in the conventions enrich both the theory and practice of mathematics teaching. In our research we concentrated mainly on the problems and solutions of the Hungarian school leaving examinations at secondary level in mathematics.

• Die Methode von Prof. Tibor Szele im Unterricht begabter Schüler

  143-151

  Sándor Kántor

  Views:

  27

  Prof. Tibor Szele' has attempted to develop the mathematical problemsolving, creativity include the use of investigations and host of other devices beyond the classroom, i.e. in "mathematical circles" for talented students in secondary schools. This paper of the author – who himself has taken part in Seles1s mathematical circles – quotes from these activities according his earlier notes. This description illustrates the didactic method of Prof. T. Szele.