This thesis focuses on three issues related to overall-thinking:(1)The importance of cultivating students' overall-thinking ability;(2)Knowledge carrier for cultivating students' overall-thinking in high school mathematics education;(3)How to cultivate students'overall-thinking ability.The discussion of the first question is based on the importance of overall-thinking in real life,indicating that there is a close relationship between mathematics education and overall-thinking ability.Then,through the changes in the new curriculum standards,we see that the top designers pay more attention to the integrity of the subject,which indirectly indicates the importance of the overall-thinking ability to students.The second section of the thesis further clarifies the importance of overall-thinking through the combing of the overall-thinking and the mathematical thinking and their relationship.The discussion of the second question is based on the definition of overall-thinking and mathematical-thinking.It discusses the teaching of the core concepts of high school mathematics and problem-solving teaching by enumerating the knowledge carriers that train students' overall-thinking,and then clarifies the importance of mathematics carrier to the improvement of students'overall-thinking and the importance overall-thinking to mathematical understanding and mathematical problem solving.The answer to the third question is given in the form of a case.Through the dialogue between teacher and student,the role of the overall-thinking in macro,micro,strategic adjustment,reflection and other aspects is given,and a path to develop students'overall-thinking ability is given as well. |