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• Levels of students' understanding on infinity

  317-337

  Markku S. Hannula

  Erkki Pehkonen

  Hanna Maijala

  Riitta Soro

  Views:

  183

  Here we report some results of a two-year study for grades 5-6 and 7-8 (during the academic years 2001-03). The study included a quantitative survey for approximately 150 Finnish mathematics classes out of which 10 classes were selected to a longitudinal part of the study. Additionally, 40 students from these classes participated also a qualitative study. This paper will focus on students' understanding of infinity and the development of that understanding. The results show that most of the students did not have a proper view of infinity but that the share of able students grew, as the students got older.

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

  123-132

  Márton Kiss

  Eszter Kónya

  Views:

  195

  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