| The cultivation of primary school students’ mathematical thinking ability is an important part of their learning and growth.The cultivation of primary school students’ mathematical thinking ability is the need of social development in the new era,and the primary school stage is a critical period for the development of students’ mathematical thinking.Through combing the relevant literature,it is found that the educational principles of hands-on mathematics can provide a new perspective for the cultivation of students’ mathematical thinking ability.However,although scholars at home and abroad have done a lot of research on mathematical thinking ability and "hands-on mathematics",most of them are separate studies.Each talks about each,and few scholars combine the two for research.Moreover,there are few researches that have raised the principle of "hands-on mathematics" to the level of educational phenomenology,but using Wittgenstein’s educational phenomenological theory to study "hands-on" is more instructive for the cultivation of pupils’ mathematical thinking ability.In order to study how to use "hands-on mathematics" to cultivate pupils’ mathematical thinking ability,this research defines the meaning of "hands-on mathematics" from the perspective of Wittgenstein’s educational phenomenology.Then,using literature research method,questionnaire survey method,dialogue interview method,educational phenomenological observation method and other methods as research methods,I learned about the current situation of primary schools using "hands-on mathematics" to cultivate pupils’ mathematical thinking ability,and from the perspective of students Analyze problems from the perspective of teachers and peers.However,the author understands that the biggest difficulty affecting primary school students’ mathematical thinking ability is that teachers cannot see the thinking status of each student,and do not know the level of thinking of each of them.Therefore,a strategy is proposed based on the above survey results.First of all,if you want students to show their thinking process through "hands-on mathematics",then students need to have a thinking preparation before that.According to the survey,it is found that many elementary school students are easy to develop stereotypes of thinking,and their flexibility of thinking is poor,so they put forward a strategy: break stereotypes of thinking and cultivate flexible mathematical thinking.Secondly,starting from Wittgenstein’s educational phenomenology,two strategies are proposed: let students clearly state the "speakable" part of mathematical thinking;and use hands-on mathematics to make the "unspeakable" part of mathematical thinking.Activities,hand-written math essays,and hands-on mind maps show the thinking.Finally,on the basis of seeing the thinking status of each student,the teacher returns to the essence,to see where the students have weak thinking,so as to provide targeted guidance and help. |
