期刊名称：Center for Educational Policy Studies Journal
印刷版ISSN：1855-9719
电子版ISSN：2232-2647
出版年度：2014
卷号：4
期号：3
页码：111-129
出版社：University of Ljubljana
摘要：The purpose of this study is to determine how Finnish pupils’ problemsolvingskills develop from the 3rd to 5th grade. As research data, weuse one non-standard problem from pre- and post-test material from athree-year follow-up study, in the area of Helsinki, Finland. The problemsin both tests consisted of four questions related to each other. Thepurpose of the formulation of the problem was to help the pupils to findhow many solutions for a certain answer exist. The participants in thestudy were 348 third-graders and 356 fifth-graders. Pupils’ fluency, i.e.ability to develop different solutions, was found to correlate with theirability to solve the problem. However, the proportions of the pupils (17%of the 3rd graders and 21% of the 5th graders) who answered that therewere an infinite number of solutions are of the same magnitude. Thus,the pupils’ ability to solve this kind of problem does not seem to have developedfrom the 3rd to the 5th grade. The lack and insufficiency of pupils’justifications reveal the importance of the teacher carefully listeningto the pupils’ ideas in order to be able to promote pupils’ understandingof the concept of infinity, as well as the basic calculations.
关键词：open problem; development of problem-solving skills;infinity; Finnish elementary school; mathematics
