| Affected by current education status and great enrollment pressure in our country,many schools regard enrollment rate as the target,ignoring the cultivation of students’ comprehensive ability and deviating from the essence of quality-oriented education.Mathematics,as one of the important subject,plays an irreplaceable role in students’ learning career,especially for cultivating their thinking ability.Therefore,teachers shall consciously cultivate students’ high-level thinking ability,and teaching design is exactly the "weapon" for teachers to achieve this teaching objective.On the basis of reading a large number of literature,the author defines high-level thinking in mathematics,in order to cultivate their high-level thinking ability of high school students,then puts forward effective strategies and carries out teaching design,which is guided by constructivism theory and information processing learning theory.In addition,the author discusses how to use these above two kinds of theory to train students’ high-level thinking in mathematics.The main research methods of this paper include literature analysis method,questionnaire survey method,interview method and experiment method.Firstly,this paper analyzes the research status of high-level thinking,analyzes the definition,cultivation and evaluation of high-level thinking,and puts forward the definition of high-level thinking in mathematics based on the information processing and learning theory and the author’s understanding of high-level thinking.Secondly,interviews and questionnaires were conducted on teachers and students to investigate the current situation of students’ thinking and teachers’ understanding and cultivation of high-level thinking.Based on the theory of constructivism and the theory of information processing and learning,the instructional design strategies and learning strategies for cultivating students’ high-level thinking in mathematics are proposed.Then select log and its operation as an example in the teaching design,and on the basis of quasi-experimental research,select the grade four parallel class,two classes as experimental group,the other two classes as the control group,through the teaching experiment results before and after the T test,it is concluded that the teaching strategy and teaching design to improve the students’ mathematics high-level thinking how the actual effect.There are mainly three aspects about research results of this paper.Firstly,by analyzing the current research status of high-level thinking and combining with the author’s own understanding,define the high-level thinking in mathematics of high school students.Then,based on the constructivism theory and information processing learning theory,propose teaching design strategy for cultivating students’ high-level thinking through its definition.Lastly,carry out teaching design according to teaching strategy,and summary the validity and deficiency after conducting teaching experiment. |