A Research On The Teaching Of The Combination Of Numbers And Shapes In Junior High School Based On The Core Quality Of Mathematics

The combination of number and shape is an important method of thinking.It skillfully combines the quantitative relation with the geometric figure and plays a great role in the mathematics teaching of junior middle school.The curriculum standard for senior high school mathematics(2017 Edition)puts forward six core mathematical qualities:mathematical abstraction,logical reasoning,mathematical modeling,intuitive imagination,mathematical operation and data analysis,and requires them to be implemented in the actual teaching,which provides a new research idea for the teaching of the combination of numbers and shapes.It is also necessary for junior middle school students in the stage of compulsory education to teach the combination of numbers and shapes under the core quality of Mathematics.The thesis is divided into six parts:The first part introduces the research background,research content and method,research purpose and significance as well as the related research status at home and abroad.In the second part,it defines the concepts of mathematical core literacy and the thought of combination of numbers and shapes,and expounds the theoretical basis of the research: constructivism theory and multiple representation theory.The third part puts forward the teaching principles that should be followed when using the combination of number and shape under the background of mathematics core literacy: two-way principle,equivalence principle,simplicity principle and intuitive principle;There are two ways to convert numbers and shapes: from "number" to "shape" and from "shape" to "number",and the specific examples are explained.In the fourth part,according to the knowledge division of logarithm and algebra,graph and geometry,statistics and probability,synthesis and practice in the textbook,the relevant chapters and knowledge points that permeate the idea of mathematical combination in the 7th to 9th grade mathematics textbook of Qingdao edition are summarized and sorted out.At the same time,combining with the topics in the textbook,the paper analyzes from the perspective of core literacy and mathematical combination.In the fifth part,the two teaching designs of mathematical and mathematical combination under the core mathematical literacy concept are given and analyzed.The sixth part elaborates the research conclusions and makes reflections.