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Analysing the various misconceptions held by students with regard to the mathematical set concept, the authors hypothesized that these misunderstandings may be explained by the initial ‘collection’ model. Even after learning the formal properties of a set in the mathematical sense, the students are still influenced in their reactions by the collection representation, which acts ‘from behind the scenes’ as a tacit model. If the mathematical concept is not continually reinforced through systematic use, it is the initial figural interpretation which will replace, as an effect of time, the formal one. The findings confirmed this hypothesis. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   
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Assuming that, given the processes of technology diffusion, adolescent behavior forecasts future consumption of digital information, it would seem pertinent to study the characteristics of teenager technology use. This research asks: What are the key patterns regarding the use of technology platforms by teenagers? Is technology usage among teenagers shaped by schools' disparate teaching philosophies and cultures? How is technology usage impacting the consumption of traditional print media? A survey designed to determine how high school students use technology was administered at a private boarding school in New Hampshire and a public school in New York. The research concluded that individuals' residing environment and context shape ICT adoption. School culture and geographic context drive behavioral technology usage patterns. Furthermore, consumption of information appears to be guided by a principle of complementarity. However, technology substitution should not be discarded. Finally, school culture incorporating and promoting technology use may contribute positively to knowledge acquisition, although technology adoption without controls could negatively impact the teaching experience. While directionally valid, the study results need to be validated by statistical research and case studies.  相似文献   
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