An Inquiry Into The Hierarchical Teaching Of Mathematics In Junior High School Based On PBL Theory

The newly revised mathematics curriculum standards for compulsory education were introduced in 2022,and the curriculum objectives oriented towards core competencies were clearly established.This paper tries to integrate PBL theory into hierarchical teaching based on the problems existing in the current hierarchical teaching,explores the establishment of a new teaching model,and carries out a semester of teaching practice on this teaching model.Through the relevant data validation with parallel classes,it shows that this teaching model has a certain effect in improving the relevant core literacy of students.The content of this article can be summarized into five parts.The first part is an introduction,which first introduces the research background,content and significance,as well as research methods.Then,it introduces the research process and direction of hierarchical teaching mode and PBL theory at home and abroad.The second part first introduces the advantages and disadvantages of current hierarchical teaching and PBL,as well as the theoretical basis of hierarchical teaching and PBL teaching.The third part studies the current situation of hierarchical teaching mode through survey questionnaires and interviews,and conducts qualitative analysis of the survey results.In the fourth part,based on the results of the above survey questionnaire and the relevant theoretical research on PBL and hierarchical teaching,an attempt is made to design a PBL teaching strategy under hierarchical teaching.Based on this teaching strategy,two teaching cases under the new model are provided,attempting to illustrate the specific practical process of PBL teaching based on hierarchical teaching in front-line teaching.The fifth part is the research conclusion and outlook,which demonstrates the effectiveness of the new teaching model through the analysis of the results of the comparative experiment.The hierarchical teaching model based on PBL theory has made up for the shortcomings of hierarchical teaching to some extent and promoted students’ core competencies in mathematics;This model also provides a reference for teachers to exert students’ subjectivity to the best of their ability in hierarchical teaching,and proposes some suggestions to promote theoretical and practical innovation in teaching strategies.