A Study On The Formation Of Mathematical Cultural Education "Field"

Mathematics Education is the education of mathematics culture under the view of new curriculum.Mathematical culture in the new curriculum standards for high school as a separate plate has been listed,and the 2017 high school mathematics syllabus for the first time explicitly proposed to examine the mathematical culture.Therefore,it is urgent to study and implement mathematical culture education.The existence of field is already a recognized fact,field theory of thinking in many fields,disciplines are applied,and achieved certain results.This study explores the formation of field in mathematics culture education from the aspects of theory and practice by using "field thinking" to study mathematics education.The formation of mathematical culture education field refers to the interaction of the factors in the field,which makes the psychology,emotion and cognition of the students in the state of "imbalance".The core of the implementation of mathematical culture education is the formation of high quality mathematical culture education field.This paper mainly through the following chapters on the "field formation" to study:The third chapter,I define the core concepts of "the formation of mathematical culture education field" and "balance" which is based on sociology,pedagogy,psychology and other related theories;I construct the theory of the forming elements of mathematics cultural education field(educators,the educated,mathematics culture resources,physical environment),forming process(including the formation stage,form dimensions,formation characteristics),forming principle(balance-new balance-imbalance).The fourth chapter,empirical research is the core of this paper.From a "questionnaire",the questionnaire results show that the current situation of mathematical culture education is not satisfactory.How to carry out mathematical cultural education and the formation of highquality "field" ? I use the "classroom observation" approach to extract the formation of highquality "field" of the four ways,and through the text analysis of mathematical writing,Imining high-quality "field" formation path from the cognitive field,emotional field,the field of power quality and other four dimensions;and through the primary,junior high school and university at different stages of mathematical composition analysis,I sum up the different stages of mathematics and cultural education field formation of different characteristics.The fifth chapter,the author through the analysis of the fraction of the picture book teaching to confirm the above "mathematical culture education field formed" rationality theory construction.