| The Mathematics Curriculum Standards for Compulsory Education,issued in April 2022,contain many important ideas,and the cultivation of core literacy is of paramount importance.Core literacy refers to the necessary character and key competencies that are necessary to meet the needs of lifelong development and social development.The "essential character" is a basic quality that is important for personal development but easy to master."Key competencies" refer to the qualities and skills needed in life,learning and work,which do not come naturally,but play a pivotal role in future development.We need to recognize that these "essential qualities and skills" will be difficult to pass on in the future if they are not nurtured in the development of each individual,each family,and the nation as a whole.Classroom teaching is the main battleground for core literacy cultivation.Traditional teaching is dominated by teachers,which not only restricts the enthusiasm of students,so it is necessary to adjust the traditional classroom,and the integration of project-based learning into mathematics classroom is a good attempt.In this paper,we use multiple intelligences theory,constructivist learning theory,and pragmatism theory as the basis of research,and adopt various methods such as literature research,questionnaire,interview method,and practical research method to explore the project-based learning in the "synthesis and practice" module of secondary school mathematics.The study analyzed the necessity and feasibility of integrating project-based learning into the teaching of "synthesis and practice" in middle school mathematics from the theoretical and educational policy perspectives,and based on this,a survey was conducted on middle school students in a middle school in Guiyang City using questionnaires to collect relevant information to reflect the students’ views,opinions,acceptance,and application of project-based learning.views,acceptance,application,and expectations from students’ perspectives.The authors also interviewed front-line teachers of middle school mathematics to learn about their views and opinions on the application of project-based learning to the teaching of mathematics "synthesis and practice" in middle school.Based on this,this paper examines project-based learning in three stages: project preparation,project implementation,and project summary,and breaks them down into specific educational strategies to explore how to carry out project-based learning in practical teaching from multiple perspectives.The project case of "Sale" was developed as the problem situation of project-based learning,and the teaching strategies of project-based learning were applied in the process of the project.According to the survey,both teachers and students are very willing to try project-based learning.There are some deficiencies in practice.In theory,teachers’ knowledge of project-based learning is still lacking,and in practice,the teaching skills of project-based learning still need to be improved.For students,they lack the appropriate knowledge reserve as well as application skills,and they have insufficient ability to link knowledge to knowledge.Therefore,firstly,we should strengthen front-line mathematics teachers’ research on project-based learning and lay a good theoretical foundation,and secondly,in the process of project-based learning,teachers should be moderately involved,neither overly involved nor overly let go,not only to help students build a deep knowledge system but also to take into account the cultivation of students’ independent learning ability and problem awareness,so as to truly play the role of project-based learning in practical teaching,strengthen students’ The project-based learning in practical teaching really plays a role in strengthening students’ mathematical and scientific thinking and enhancing their core literacy.The case study of "Maths for Sale" was developed by integrating "synthesis and practice" with project-based learning,providing a reference for front-line mathematics teaching. |