Research On High School Homework Design Under The Core Literacy Of Mathematics

The new curriculum standards emphasize the core literacy of mathematics,which mathematics educators have been studying one after another.Homework is an important part of teaching.Careful homework design and efficient homework utilization can effectively assist teaching and improve teaching quality.How to introduce the core literacy of mathematics into high school homework design is a worthwhile research direction.Based on the function of senior high school,the author studies how to compile exercises that reflect the core literacy of mathematics,so as to provide ideas for the homework design under the core literacy of mathematics.There are two research problems:one is to construct the framework of homework design under the core literacy of mathematics;the other is to analyze the framework of the answering and improve the framework and give the functional operation design details table under the core literacy of mathematicsIn this study,qualitative and quantitative research methods were combined.Data were collected through questionnaires and analyzed with the help of the homework design framework of this study.The following conclusions were drawn:(1)The framework of homework design under the core literacy of mathematics is mainly composed of two dimensions:function core knowledge and literacy.The function homework under literacy should not only closely follow the function knowledge,but also meet the requirements of different mathematical literacy in the curriculum standard.(2)From the perspective of core knowledge of functions,different versions of textbooks focus on the study of function images and properties.In addition,some versions focus on the students' ability to apply knowledge to practice,and accordingly increase the learning of function application.Some versions focus on basis and emphasize the examination of students' concept of function.Most students are at the level of knowledge understanding or knowledge transfer in the dimension of functional knowledge.Istead,only a few students are at level 3,which means the majority of students lack the ability of knowledge innovation.Therefore,teachers should design some reflective and open questions to guide students to think more in the process of doing exercises.(3)From the perspective of mathematics core literacy,chapters of function are the focus of the mathematical study throughout the high school level.Mathematical abstraction,intuitive imagination,logical reasoning,mathematical operation,mathematical modeling and other literacy inspection are inspected frequently in this phase.Most students are at level 2 or level 3 in the literacy dimension and can roughly grasp the knowledge,but the connection of knowledge points needs to be strengthened.Students have good visual imagination quality and can extract graphs,but cannot extract all elementary functions from complex functions.Therefore,teachers may targetedly enhance the practice in homework design.