Practical Research On Solving Mathematical Problems In The Information Technology Environment

Mathematical problems,and the solution of it is the main component of mathematics,mathematics teaching shows the process of finding the solution of problem.In recent years,the problem-solving attracts the mathematics education research's attention.With the convergence of information technology and mathematics teaching,the process also provides educators with a new problem-solving instruction design paradigm.Therefore,the teaching practice of the usage of information technologies for mathematical problem-solving is the main concern of the Institute.Firstly,this paper uses the method of literature research to analysis problem-solving,including:mathematics problem and the circumscription of the mathematics problem solution's concept;and then keep on analyzing the the continuum theory,to clear a problem system including five classes of different problem and their cognitive levels,to clear problem continuous body theory in teaching design in the of actual application,which formed the theory's base of this research;finally combing the relationship of information technology and mathematics teaching,determine research of direction.Secondly,design test questionnaire based on the continuum theory,to investigate the current cognitive status of high school students ' mathematical problem solving.The result of the survey shows:most students can reach facts level,many students can reached concept level,it proves that part of students have obstacles to the process of abstracting and generalizing things with common features;few students reach the level of General,and we found that open teaching mode can provide students a good problem-solving environment by comparing different environment of solving problems;rare students can reach theory level,it proves that students'level of solving problems can only limited to solve exercises,they cannot explore problems freely;there is no obvious difference between students of different grades and sex.Then,based on students in level across of process in the appeared of errors situation for statistics and classification on individual students for interview,we finish getting students 'obstacles:not well to classify and summary the problem involved the concept from special to General,when get general situation,easy missed special situation;not good at making analysis using symbolic-graphic combination on high abstract degrees of problem,students have weaker symbolic-graphic combination consciousness and some of the can't do some dynamic of graphics analysis;at first students couldn't analogy on problem concerned for reasoning,secondly analogying to get the suspect couldn't receive a reasonable argument;not good at finding and problem definition,problem awareness is weak.Finally,according to the derived barrier,combined with the application of information technology in the classroom,the paper offer that will improve the teaching of mathematics problem solving.Similary the strategies are divided into three steps:build problem situation,strengthening the understanding of the concept;pay special attention to symbolic-graphic combination,simplifing the problem solving;creating a test environment,experiencing the inquiry teaching.Analysising with examples,eventually we found the Geometer's Sketchpad provide a convenient for teaching design of mathematical problem solving,and make problem-solving research more practical significance.