The Research For Problem-solving Of Junior Mathematics Related To High Viewpoint

Problem-solving has been an international mathematics education research hot spot. And Contemporary cognitive psychology combines problem-solving research with specific subjects more frequently, thus studing the high-level cognition activity in mathematics domain by using the cognitive psychology, has become one of mathematics education research trends of development. Regarding appeared frequently in these recent years mathematics college entrance examination's kind of new test question - - high viewpoint test question, because it in the form, the content had the characteristic of certain engagement about higher mathematics and middle school mathematics, has received the domestic researcher's universal attention. This article unifies the existing research results, in carries on classified to the high viewpoint test question in the foundation, draws up three kinds of test questions related to high viewpoint, including the mark, the knowledge content and the understanding level, carries out the experiment separately in three level different school's high three year sections. On the one hand through the data collection, from the quantification angle reflected intuitively the difficult degree about solving these three kinds of question by high-school student, on the other hand through the interview, utilizes the research technique about comparison study of experts and novices, from problem representation, problem solution two big links to analyze student's difficult reason. And according to the research obtained result, gives the corresponding teaching comment.This article altogether divides into four parts: first part of outline question solution and cognition psychology research background, as well as the research reality of the junior mathematics under high viewpoint. The second part in carries on classified to the high viewpoint topic in the foundation, and introduces this research the correlation theories support. The third part carries out the experimental study, and carries on the thorough analysis to the result. The fourth part carries on the summary to the experimental result, and gives the corresponding teaching comment. Meanwhile, the writer of this paper gives the inadequacy of this research, and puts forward some problems for further study.