Research On Mathematical Problem-solving Transfer Under Concealed Structure-generality

In this paper, problem-solving transfer theory has been systematically set forth, then the conclusion has been educed from the analysis by way of the investigation and stat to junior school students' actual mathematical problem-solving transfer status under concealed structure-generality.This text includes four parts:The first part relates briefly the theory' s background of the transfer, and puts forward the question discussed.In the second part, based on the studies of problem-solving transfer, mainly discusses the mechanisms of the mathematical problem-solving transfer under three theories, such as structure- mapping theory, pragmatic schema theory, exemplar theory of analogize transfer. Meanwhile, the part contrasts the influential factors of mathematical problem-solving transfer with those of transfer and problem-solving transfer, and draws the conclusion theoretically that the three subsystems (includes the knowledge and experience system of the mathematical problem-solving transfer, the cognitive operation system of mathematical problem-solving transfer, and the metacognition system of the mathematical problem-solving transfer) of the cognitive structure of mathematical problem solving have the most notable influence on mathematical problem-solving transfer.In the third part, some conclusions about the process and mechanism and influential factors of the mathematical problem-solving transfer under concealed structure-generality have been educed from the examination questions designed from the teaching practice that when the middle school students solve concealed structure-generality mathematical problem, they will meet problem-solving difficulties.Having comprehended all the theories and the investigation in the above chapters of the paper and becauseof the common of the mathematical problem-solving ability, the forth part proposes several teaching suggestions on how to cultivate the middle school students' ability of mathematical problem-solving transfer and mathematical problem-solving transfer under concealed structure-generality.