Research On The Application Of Transformational Thinking In The Teaching Of "Number And Algebra" In Primary School On Mathematics

Mathematical thought is the essential understanding of mathematical facts and theories,the thinking system formed in the process of exploring mathematical laws,and the methodology guiding mathematical activities.Transformative thinking is one of the most basic thinking methods in mathematics teaching,the core of mathematical thinking methods,and occupies an important position in primary school mathematics teaching,and its application is also very extensive.The existing teaching research of transformative thought has a certain depth in the field of "graphic geometry",but there are relatively few studies on the application of transformative thought in the teaching of "numbers and algebra" in primary school mathematics,this study is based on questionnaires,interviews and case analysis methods to investigate the current situation of transformed thought in the teaching of "numbers and algebra",analyze the existing teaching problems and causes,design typical teaching cases based on the current research status and apply them,discuss the teaching improvement strategy of transformed thought in practice,and draw conclusions.Firstly,a total of 203 mathematics teachers from first-line primary schools in H City and City A and 381 students from SY Primary Schools in H City 3 were selected as questionnaire respondents,and 15 mathematics teachers and 30 students from all grades of primary schools were selected as interview subjects by grade.The comprehensive questionnaire survey method,interview method and case analysis method are used to investigate the current situation of transformative ideological teaching.The study found that there are some problems in the application of transformative thinking in the field of "numbers and algebra" : teachers’ understanding of transformed thinking is not comprehensive and profound,the study of primary school mathematics textbooks is not thorough enough,the transformation of thinking cannot be effectively integrated with the three-dimensional teaching goals,the teaching link of cultivating transformed thinking is faulty,and the teaching of transformed thinking is not necessary reflection;students are not clear about the purpose of learning and transforming thinking,their awareness of cultivating mathematical thinking methods is weak,and their grasp of the basic knowledge of mathematics is not firm.There is a lack of timely application and summarization of the idea of transformation.On the basis of the analysis of questionnaires and interview data results,the problems and causes of inductive and transformed ideological application teaching are summarized.Secondly,through the guidance of front-line practical tutors and the systematic study of relevant literature at home and abroad,the author sorts out and analyzes the transformational thought knowledge contained in the field of "numbers and algebra" in the field of "numbers and algebra" in the field of mathematics textbooks for grades1 to 6 of the human-taught version from five aspects: structure,order,and hierarchy,and analyzes "numbers and algebras" from five aspects: structure,order,and hierarchy.Application principles of transformational thought teaching: the principle of life,familiarization,and simplification;based on the teaching status of investigation and research and the analysis and summary of teaching materials,a typical lesson example in the field of "numbers and algebra" is selected-"The Application of Ratio",comprehensive suggestions from tutors and practical tutors in schools,the knowledge point is integrated with the teaching design of the theme of transformation thinking,practice is carried out,data analysis and summary of the teaching implementation effect are carried out,and it is found that the transformation of thinking is integrated into the primary school "number and algebra" The effectiveness of teaching in improving students’ problem-solving ability and mathematical thinking ability.Finally,based on the results of the current investigation results and the effect of teaching practice,the teaching strategy of transforming thought is proposed,and the research conclusions are drawn: First,it is necessary to dig deep into the transformation of ideas implicit in textbooks,grasp the scientific teaching methods and principles,effectively infiltrate the teaching activities of transforming ideas and reflecting on the cultivation of transformation of ideological ability;the second is to improve the student knowledge system,lay the foundation for transformation,pay attention to the exploration process,feel the transformation of ideas,cultivate associative thinking,and improve the transformation ability;the third is to integrate the transformation of ideas into the three-dimensional teaching objectives and guide "numbers and algebras." "Teaching,multi-link integration,organic training students to transform ideas,timely practice and application,internalization of transformation of thinking methods;the fourth is to establish a transformation of thinking mastery evaluation standard system: should adopt a multi-subject evaluation method,rich evaluation dimensions,evaluation level definition needs to be hierarchical."...