文章基本信息

标题：Classification of Efficient Calculation Problems and the Effect of Instruction Using an Abstract Strategy
本地全文：下载
作者：Masayuki SUZUKI ; Etsuko TANAKA ; Kou MURAYAMA 等
期刊名称：Educational technology research
印刷版ISSN：0387-7434
电子版ISSN：2189-7751
出版年度：2011
卷号：34
期号：1-2
页码：75-83
DOI：10.15077/etr.KJ00007561987
语种：English
出版社：日本教育工学会
摘要：Calculation problems such as 1+2+3+97+98+99 can be solved rapidly and easily by using certain techniques; we call these problems "efficient calculation problems." However, many students do not always solve them efficiently. To address this problem among students, this study developed a new teaching method. The first study sought to examine underlying subcategories of efficient calculation problems. To accomplish this, multidimensional scaling and cluster analysis to a similarity matrix obtained from expert judgments were conducted. As a result, we classified 20 efficient calculation problems into 8 categories. The second study examined the effect of an intervention on 59 eighth grade students and 52 fifth grade students. The students were instructed to use an abstract strategy that stated, "Think carefully about the whole expression," and were then taught the solution to the problem. The results indicated that the eighth grade students solved similar problems efficiently after the intervention, while the fifth grade students did not. The results also suggested that the effect of the intervention was greater among students with sufficient basic calculation skills.
关键词：COMPASS;efficient calculation;structure generation-based approach;transfer;multidimensional scaling