Applied Problems Of Mathematics And The Teaching Of Problem Solving Strategies

With the rapid development of the information age, Society needs more people use mathematical thinking to solve practical problems, Therefore, analysis of the students with word problems and solving word problems is extremely important。Middle school math word problems is the emphasis and difficulty of teaching and learning, The survey of students solve word problems in the overall level is low, However, some number of eugenics to solve word problems embody the number of poor students than the obvious advantage. This paper by comparing the number of gifted students and several poor students in the Applied Problems in cognitive processes, the number of gifted students and the number of poor students different problem solving strategies. Through the first two days of 15 the number of excellent students and 15 students were questions testing the number of trapped, Two students on the theme of time-consuming to solve the situation of each file to compare, And two types of students to solve word problems in reading, analysis, assumptions, formulation, calculation and testing of the six cognitive processes to account for time spent on solving the average percentage of total time and standard deviation compared. Found that students from there in the cognitive complexity of problem situations caused by the obstacle of not understanding the meaning of basic terms due to obstacles, the obstacles caused by the generalized law, and then to seek a breakthrough strategy for these barriers.In accordance with the problem solving process, summed up a common strategy to Solve Math Problems include:moderation strategies, analysis strategies, set meta-policy, strategy evaluation and testing solutions. There are several other commonly used strategies in addition to a special strategy:draw diagrams, list for equal relationship. To promote efforts to train teachers in teaching students good problem solving strategies and meta-cognitive level, rich context of teaching, emphasizing the changing teaching to enhance student self-adapted training, Thereby enhancing the students to analyze and solve problems...