The Application Of Reflective Learning In High School Mathematics

Reflective learning is an important mean to study mathematics.Especially for those high school students who are under great pressure of learning: if they just blindly learn but not review what they have learned,they are bound to face the problems including poor learning,lack of confirmed acquisition of basic knowledge as well as the flexibility of knowledge using and so on.“The Standard of Ordinary High School Mathematics Curriculum” also emphasizes the importance of reflective learning,it requires education to lead students to explore independently in their study,so as to improve students' capability of reflective learning.For mathematics,reflective learning can encourage students to form a knowledge network,improve logical thinking as well as review and summarize.In conclusion,reflection in mathematics plays an important role in high school period.This paper studies such problem from the following five aspects.Started with the new curriculum standard requirements and the characteristics of mathematics,chapter one discusses the background and significance of this topic research,summarizes and reviews the researches domestically and abroad based on the references,and demonstrates the contents and methods of this research.Chapter two studies the thought of reflective learning deeply.Through consulting data,summarizes the concept of reflection and reflective learning,mathematical reflective learning;analyzes the theoretical foundation of reflective learning from the metacognitive theory,constructivism learning theory,critical theory,etc.And analyzes the characteristics and contents of mathematics reflective learning.Chapter three investigates the present situation of high school students' mathematics reflective learning by using questionnaire,and systematically analyzes the survey data from reflection consciousness,skills,and methods especially the reflection skill in the learning process.At the same time,according to the results of questionnaire,this chapter studies the factors that influencing students' reflective learning from two aspects of internal factors and external factors,which refer to the students themselves and teachers as well as society respectively.Chapter four puts forward some strategies to train high school students' reflective learning ability.Firstly,teachers can use different teaching strategies including the new lecture and recitation and examination paper evaluation to lead students into reflective learning.This chapter elaborates these strategies mainly on the teaching concept,formulateaching,problem solving and the new teaching model called "student presentation reflection,the teacher auxiliary guide" in the lesson of paper evaluation.Besides,this chapter offers strategies on the reflection of learners in discussion,homework and weekly diary respectively.Chapter five puts the strategies mentioned in Chapter four into practice,explains the experimental process through 3 teaching segments;and compares the grades of experimental classes and control classes by SPSS17.0;meanwhile communicates with students after experiment in order to analyze the effect of reflective learning on their mathematical study from their respects.