Research On The Development Model And Teaching Strategy Of High School Students' Mathematical Intuitive Imagination Literac

In education and teaching,the core quality of mathematics is an important guarantee of education and teaching.Intuitive imagination ability is one of the key abilities in six mathematical fields.It can not only help individuals explore and solve practical problems,but also provide solid basis for their mathematical inferences.Therefore,how to improve the students’ intuitive imagination ability becomes a top priority.The purpose of this paper is to discuss:(1)How to cultivate students’ intuitive imagination ability,and what aspects to develop this ability.We will focus on the origin,connotation and structure of visual imagination ability,and propose some cultivation strategies and evaluation methods.We will also explore how visualizations can help students understand and master this ability.(2)On the basis of studying students’ intuitive imagination literacy,combined with specific teaching examples,this paper analyzes the construction system of intuitive imagination literacy,and discusses how to further develop high school students’ intuitive imagination literacy.Through the study of a variety of theories,we find that it is most effective to explore how to cultivate students’ intuitive imagination ability and creativity by using practical cases.It is found that through continuous practice and exploration,students’ intuitive imagination ability will have obvious stage characteristics.Students’ visual imagination ability can be developed through three stages: visual prototype,visual representation and visual imagination.Among them,intuitive prototype is the basis of intuitive imagination,which can be further developed through physical display model,physical perception model and reductive geometric model.Intuitive representation is a necessary condition for the development of intuitive imagination literacy,which can be accomplished through the emergence of mathematical intuition,the construction of mathematical concepts,and the understanding of mathematical concepts.Visual imagination is an important stage in the development of visual imagination literacy,which can be realized through the process of dynamic understanding of representation,logical framework and visual model."Line-surface parallel" is an effective research topic,which aims to test and evaluate how to use "line-surface parallel" to cultivate students’ visual imagination literacy and improve the course content of "line-surface parallel" by combining a variety of investigation methods,including questionnaire survey,teacher interview and student interview.After in-depth research and analysis,we have found that effective strategies for cultivating intuitive imagination are:(1)Enrich the representation reserve and strengthen the cultivation of students’ intuitive prototype.By looking for the best examples of life and studying geometric features,students can stimulate their existing knowledge and enrich the library of images in their cerebral cortex.(2)Clarity of mathematical concepts,strengthening the cultivation of intuitive representation.In order to make them better understand figures,we can strengthen the understanding of mathematical concepts and help them integrate mathematical representation by combining literal language,graphic language and symbolic language.(3)Visualization of mathematical modeling,strengthening the cultivation of intuitive imagination.Mathematical model is an important tool for cultivating mathematical visual imagination literacy,which can be strengthened through dynamic operation model,construction of visual model and combination of number and form.The cultivation of intuitive imagination ability is not a quick one day,but depends on the accumulation of education and teaching in peacetime,so it is particularly important to strengthen the construction of intuitive imagination quality training.