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• The tradition of problem-posing in Hungarian mathematics teaching

  233-254

  Zoltán Kovács

  Views:

  409

  Based on the literature, Pólya was influential in problem-posing research. The present paper draws attention to a book written with Pólya's collaboration, which has not yet received sufficient emphasis in the problem-posing literature. On the other hand, Pólya's impact on mathematics education in Hungary has been significant, including the problem-posing paradigm. Two works, published only in Hungarian, that rely heavily on problem-posing are highlighted. Furthermore, it is presented how problem-posing appeared in the Hungarian Complex Mathematics Teaching Experiment (1962-78) led by Tamás Varga.

  Subject Classification: 97D50

• Combinatorics teaching experiment

  27-44

  Károly Csabay

  József Daragó

  Views:

  182

  Teaching combinatorics has got its conventional method. One has to see: the combinatorical formations won't be follow each other by a heuristic way. The formulas kept by pupils seem to come from "deus ex machina". We try to offer now an alternative way to approach combinatorical concepts from a nontraditional direction and point of view.

• Is it possible to develop some elements of metacognition in a Mathematics classroom environment?

  123-132

  Márton Kiss

  Eszter Kónya

  Views:

  312

  In an earlier exploratory survey, we investigated the metacognitive activities of 9th grade students, and found that they have only limited experience in the “looking back” phase of the problem solving process. This paper presents the results of a teaching experiment focusing on ninth-grade students’ metacognitive activities in the process of solving several open-ended geometry problems. We conclude that promoting students’ metacognitive abilities makes their problem solving process more effective.

  Subject Classification: 97D50, 97G40

• Lehre der Trigonometrie anhand realistischer Aufgaben im Online-Unterricht

  87-105

  Kornélia Ficzere

  Ágota Figula

  Carolin Hannusch

  Emese Kása

  Views:

  271

  The aim of our study was to explore the effects of the active use of realistic exercises in the field of trigonometry. We taught a group of 14 pupils, who were in grade 11. The most of them told us they did not plan mathematics-related studies in the future. We included realistic exercises into our teaching plan, which covered the fields of scalar product, as well as the sine and cosine theorems. Our teaching experiment was done within the framework of online teaching. Effects on the motivation, performance and results of the students were taken into consideration. We also attempted to examine the effects of online teaching on motivation and whether the use of realistic exercises is worthwhile in an online classroom environment. Performance of the students showed a tendency of improvement when they were dealing with the material through realistic exercises even despite the teaching happened online.

  Subject Classification: 97C70, 97D40, 97G60

• Strategies used in solving proportion problems among seventh-grade students

  101-127

  Gábor Torma

  József Kosztolányi

  Views:

  162

  In the 2023/2024 school year, 146 seventh-grade Hungarian students (aged 12-13) participated in our classroom experiment on solving proportion problems. At the beginning and the end of the teaching phase, both the experimental and the control groups solved a test. Regarding the answers of the students, in the pre- and post-test mostly consisting of word problems, we examined the success of solving the problems, as well as the solution strategies. For this, we used the strategies of proportional thinking that already exist in the literature of mathematical didactics. We intended to answer the following questions: To what extent and in which ways do the different types of problems and texts influence the solution strategies chosen by the students? How successfully do seventh-grade students solve proportion problems?

  Subject Classification: 97D50, 97F80