An Experimental Study On The Mathematical Problem Solving In Senior High School Liberal Arts

Student of liberal art’s mathematics problem solving ability is weak, the phenomenon of low score or even afraid of mathematics has existed generally. The causes of this phenomenon are various。The abstractness of mathematics knowledge causes mathematics study not to be obvious,and not close with the practical life. Student of liberal art’s characteristics of thinking, cognitive structure and the views of mathematics have made liberal arts students in mathematics learning self awareness weakly。They don’t have enough awareness of the importance,that of the introspection to problem solving activities and adjustment of reflection, resulting in difficulties. Teachers in the practical teaching of the importance of this point are also not fully aware of it. On the contrary, a large amount of practice has replaced in the problem solving teaching and students’s self-reconsidering and the adjustment. They are only satisfied with the answer, but ignore the understanding process of reflection, knowledge summary, the method summary, the optimization and the promotion methods, the problem solving conclusion expands and so on.Therefore, on the basis of a lot of literature, this article analyzed the students of liberal arts’s mathematics view, thinking characteristics and cognitive structure and psychological characteristics.Combined with my own teaching experience and practice research, this article put forward the contents of students’reflection on mathematical problem solving,and put forward the way to cultivate the ability of the problem solving reflection.Research methods:literature analysis, questionnaire survey, case study,teaching behavior research, experimental researchAccording to the time of problem solving process, Problem solving reconsidering content is divided into three parts:Reflect the preparatory activities before the problem solving process, namely comprehension; Reflect the implementation process, namely problem-solving thinking strategy choice; Reflect problem-solving results and thinking method.The ways of training students’ ability of problem solving reconsidering:Train the students’ interest in learning, Problem awareness; Exposure problem solving process to show reflection; Stages of layout problem solving reconsidering homework.The conclusion of this paper:Through the cultivation of the ability of reflection1. Liberal arts students fear gradually weakened, interest in learning mathematics is obviously improved, full of confidence in their math.2. Liberal arts students have significantly improved problem-solving habits, The degree of attention to "reading" and "attention to the problem" improved.3. Problem solving ability of liberal arts students have improved, but the improvement of mathematical achievement is not obvious.4. Cultivating students’ reflective ability in solving problems, not only depends on the consciousness of the students, teachers also need to supervise.