Classroom Practical Research On The Cultivation Of High School Students' Mathematical Thinking Quality

The quality of mathematical thinking of high school students directly determines whether they can finish the high school mathematics learning perfectly.In addition,it will have a profound impact on the development of them in the future.At present,students have spent most of their time and energy on the classroom learning.As a result,it is approachable and feasible for most mathematical teachers to cultivate and shape students' thinking quality by classroom teaching.However,the way to cultivate the thinking quality of the senior high school students through classroom teaching is worth thinking.The author have designed a set of questionnaires based on the analysis of the related theory of mathematics thinking quality.The questionnaires are aimed to investigate the state of mathematics thinking quality of high school freshman,including the agility,profundity,flexibility,criticalness and creativity.The result of the test and its relevant data show that students have different degree weaknesses in all five aspects.According to the preliminary results of the survey,the author worked out a practical scheme to shape high school students' mathematics thinking quality.What's more,the aim of the cultivation of high school students' mathematical thinking quality was stated.In other words,it targets to enhance the depth of students' thinking quality by concept teaching;to improve the students' quality of thinking agility and flexibility by solving problems;to cultivate the criticalness and originality of students' thinking by inquiry teaching.The author illustrated with specific teaching examples how to focuses on the way to shape students' mathematics thinking quality by the form of new concept presentation lesson in grade one and two;to shape students' thinking agility and flexibility by exercise lessons in problem-solving teaching in grade one and two and revision lessons in grade three;to reinforce the ability of critical and creative thinking by these different types of lessons.In conclusion part,the author maintained that teachers are supposed to create a good learning environment,stimulate students' motivation,guide their learning methods,cultivate thinking habits and consciousness and attach importance to their thinking process to help to shape high school students' mathematics thinking quality by classroom teaching.