The Cognitive Research On Mathematical Pplied Problem Solving Of Junior Middle Chool In Grade One

The slogan of "problem solving" which has been put forward by American educators Since the1980’s, has been permeated in the education concept widely and considered as an important part in Mathematics Education by all the countries. At the same time, along with the development of cognitive psychology science, the study on the mathematical application problem solving cognitive process has become the hot spot in the field of applied problem solving.The study takes Junior-One Students as a research subject and examines their mathematical application of problem-solving process of cognitive psychological processes. Then design the main contents on the basis of related research. The specific research as follows.Study1.Taking104Junior-One Students as a research subject and examine their mathematical application problems to solve in the authenticity of the status quo of thinking and academic performance and the effects. And Study the difference in different tip conditions with the difference of authenticity thinking by setting the problem of different tip level.Study2.Taking58Mathematical overachiever children as a research subject randomly and study the mathematical problems of students in grade seven on the representation of the process of resolving way and the effectiveness about all kinds of characterization.Study3.Taking44Mathematical overachiever children in grade seven as a research subject randomly and studies The effect of different sample for solving migration and pattern recognition with the double factors experimental design of2(sample types: drawing style cases of traditional sample)×2(the surface of the subject content:Similarity and dissimilarity).Through the above two researches, getting the main conclusions of below1. The ratio on making realistic consideration of students in grade seven is higher compared with other similar research in this study. The proportion of the number of students who make realistic considerations accompanied by suggestive questions behind the questions, has a very significant improvement. It means that the students in grade seven have the authenticity of the reflections on the experience and experience, but the ability of students’ authenticity thinking is limited by the school situation.2. There are significant differences on the choice times of the ways of problems representation in Junior-One Students. The representation chosen frequency from high to low in turn:the key to information characterization, structure characterization, other characterization, but the representation of the equation results from high to low order structure characterization, other characterization and key information representation. The result shows that the most effective structural characterization of the selected number of relatively small.3. There is significant difference on the achievement in different condition of solving migration. The achievement of solving migration under the cases of schema is significantly higher than the traditional transfer performance sample. Research also finds that figure style cases correctly identify model is higher than the proportion of traditional sample.