The Practice Reserch On The High School Student’s Reflective Abilities In Mathematical Problem-solving

It’s important for high school students to acquire the abilities in mathematical problem-solving, the improvement of which needs the reflection after solving the problems. At the request of new curriculum standards, teachers pay more attention to develop the reflective abilities of students. As long as teachers attach importance to the reflections on solving the problems and continually infiltrate the skills and conception of it to students, they will like and be good at reflecting; at the same time, the reflection also help students improve the different level of thinking and the abilities of solving problems.On the basis of the research from different scholars at home and abroad, the article research initially forms the strategies of reflection on solutions through analyzing the current situation of the reflection on solutions by reading many literature and taking measures including questionnaire, interview, experiments and spss statistical software.There are six parts in the article:The first part introduces the background, purposes, significance of the research and present research status at home and abroad.The second part puts forward the related concepts and theoretical basis of reflections on mathematical problem-solving.The third part proposes the research methods and the design of the questionnaire.The fifth part is about the experiments in the teaching of reflections on mathematical problem-solving.The sixth part presents the strategies of reflections on mathematical problem-solving.Although the reflections on mathematical problem-solving has attracted teacher’s attention in the current education, teachers and students are not doing very well in practice, for example, students are not good at reflecting after they solve the problems. Therefore, teachers should efficiently guide the students and develop their abilities in reflecting step by step; teachers also need to know the situation about the reflection and put it in practice. The improvement of the reflections on mathematical problem-solving is good for learning mathematics.