Research On Teaching Design Of Mathematics Comprehensive And Practical Activities From The Perspective Of "three Uses"

Under the background of the new curriculum reform,students are required to view the world with mathematical version,analyze the world with mathematical thinking,and express the world with mathematical words(hereinafter referred to as "three uses")."Three uses" needs to be reflected in teaching.As the good carriers for cultivating students' awareness of applying mathematics,Comprehensive and practical activities can effectively reflect the perspective of "three uses".Therefore,it is of great significance to carry out instructional design for comprehensive and practical activities under the perspective of “three uses”.In this paper,by the literature analysis method,"Mathematical Vision","Mathematical Thinking","Mathematical Language",and the related researches of comprehensive and practical activities teaching design were combed and analyzed.By using descriptive research methods,and combining Bruner's discovery teaching theory,Freidenthal's mathematics teaching theory,Gardner's multiple intelligence theory,Gagne's teaching design theory,the basic theory of mathematics synthesis and practical activities teaching design from the perspective of "three uses" was researched,the conclusions obtained as follows:First,the use of mathematical vision to observe the world refers to the use of mathematical concepts and mathematical symbols to observe objective objects,to discover the relationship between shape and quantity in objective objects,and to use mathematical thinking to analyze the world referring to using mathematical knowledge to reason and proof of thinking process.Express the world in mathematical language referring to the use of graphical language,symbolic language,and literal language and express the quantitative relationships and spatial forms between objective objects.Second,observing the characteristics of the world with a mathematical perspective is seeking truthfulness,broadness,and sharpness.Analyzing the features of the world with mathematical thinking is generality,questionability,and similarity.The use of mathematical language to express the features of the world is concise logical and stringency.Third,"Three uses" has an interdependent relationship with comprehensiveand practical activities."Three uses" is the basic tool for the smooth implementation of comprehensive and practical activities.Comprehensive and practical activities are important ways to implement and develop "three uses." Fourth,the principle of "three uses" should be followed in the instructional design of mathematics synthesis and practical activities under the "three uses" reconciliation principle,the "three uses" accumulation principle,the "three uses" possessive principle,the "three uses" strengthening principle,the "three uses" openness principle.Fifth,at the same time,the teaching design of mathematics synthesis and practical activities from the perspective of“three uses” put forward requirements from the teaching content,students' situation,teaching objectives,teaching difficulties,teaching methods,and teaching process,and carried out case design.