Inquiry Teaching Of Rational Number From The Perspective Of Multiple Representation

With the deepening of mathematics curriculum reform and the in-depth research of mathematics discipline core literacy,it is the due meaning of mathematics education to cultivate talents with innovative spirit and practical ability."On deepening the reform of education and teaching comprehensively improve the quality of compulsory education opinions" pointed out: "teachers should deeply understand the subject characteristics,knowledge structure,ideological methods,scientific grasp of students ’cognitive law,highlight the student main position,pay attention to protect students’ curiosity,imagination,curiosity,stimulate interest in learning,improve learning ability." In the background of quality education,the reform of mathematics teaching methods has been the general trend,in order to enhance students ’ ability to find and solve problems;to improve the effectiveness of mathematics classroom activities;to promote the optimization of mathematical object representation,this paper proposes the inquiry teaching of rational numbers under the perspective of multiple representation.Inquiry-oriented teaching focuses on the process from problem discovery to problem solving,pays attention to experiencing the teaching process of knowledge generation,and multiple representations emphasize the various cognitive methods adopted in the cognitive process.Based on the integration of multiple characterization and inquiry teaching,the first high school students from a middle school in Xiamen were selected as the research objects to explore the teaching of rational numbers.The main research methods include literature analysis,questionnaire,interview and experimental methods,etc.The main research contents are as follows:(1)From the teaching concept of understanding,teaching process and teaching reflection of rational teaching situation survey,through the statistical analysis of questionnaire data,combined with the interview of teachers,summarize the problems in rational teaching are: teaching concept is not really changed,characterization is limited to the textbook,explore activity tendency formalism,more one-sided teaching evaluation.(2)Through the organic integration of multiple representation and inquiry,from the content analysis of rational number,teaching objectives,teaching requirements,teaching evaluation and teaching design cases,especially the connection between characterization methods and mathematical inquiry,and taking the section of rational number multiplier as an example,we designed how to promote mathematical exploration through multiple representation.(3)In order to verify the feasibility and effectiveness of the teaching mode of multi-characterization and inquiry in rational number teaching,the teaching comparison experimental research is carried out,the experimental class adopts the integration of multi-characterization and inquiry,and the control class conducts teaching according to the usual teaching mode.Experiments show that the integrated teaching of multi-characterization and inquiry not only improves students ’academic performance,but also enhances students’ ability to represent and explore problems.(4)The research conclusion shows that the teaching mode of multi-characterization and inquiry integration helps students accumulate experience in mathematical activities,promotes students to master the nature of mathematics knowledge,so that they can build a discipline knowledge system with existing knowledge and effectively improve their academic performance.