Research On Primary School Mathematics Instructional Design Based On Quantity Sense

"Being able to observe the real world with the eyes of mathematics" is the primary core literacy proposed in the 2022 edition of the "Mathematics Curriculum Standards for Compulsory Education".One of the manifestations of "mathematical vision" is abstract ability(it contains a sense of quantity).The sense of quantity is an important part of the core literacy of primary school mathematics.Quantitative sense refers to students’ perception of quantity comparison,operation and estimation in teaching and life situations.It is a kind of intuition and keen perception of quantity.Quantity sense is the basis for elementary school students to form abstract ability and application consciousness,which helps to improve their estimation ability and problem-solving ability.This research collects and sorts out the relevant researches on the teaching design of "sense of quantity" cultivation,and sorts out the substantive connotation of the cultivation of sense of quantity and the framework of teaching design.Based on constructivism and modern instructional design theory,this research combines the elementary school mathematics curriculum standard to construct the basic process and design elements of the core quality of sense of quantity integrated into elementary school mathematics instructional design.Using the method of field investigation and action research,taking the students of Class one and Class two of the sixth grade of J primary school in T city as the teaching objects,and taking the mathematics teaching design of "circle area" as a specific case,to explore how to integrate the sense of quantity into the mathematics teaching of primary school.Through the collection and arrangement of teachers’ teaching plans,interviews with teachers,and participation in many teaching observation activities,it is found that the main problems in the teaching of primary school students’ sense of volume are: in daily mathematics teaching,teachers pay more attention to the sense of volume in the teaching field in teaching design.The relevant knowledge imparting and ability training,but the infiltration teaching of the sense of quantity in the life field is insufficient,and the teaching of the sense of quantity lacks a systematic and clear complete design plan.Based on the analysis of the knowledge structure of "circle area",the existing knowledge and ability foundation of primary school students are diagnosed.And carry out defect analysis and improvement;carry out teaching implementation of the improved teaching design plan;analyze the implementation results of the teaching design plan combined with classroom answer sheets,classroom activity evaluation and after-class testing exercises.The performance comparison in two parallel classes verified the effectiveness of the instructional design scheme in this study.This research reflects on the teaching design case of "Area of a Circle",and puts forward suggestions for integrating the core quality of sense of quantity into the teaching design of primary school mathematics: design situations of life problems to cultivate students’ sense of quantity;pay attention to the design of mathematics learning activities to develop students’ sense of mathematics;Use inquiry process design to cultivate students’ learning ability;integrate mathematical culture into teaching design and cultivate mathematical thinking methods.It is hoped that this research can provide ideas and references for the cultivation of the sense of penetration in primary school mathematics teaching,and enrich the practice and theory of primary school mathematics classroom teaching.