A Study on the Measurement of Secondary School Students'Mathematical Modelling Competency in the Context of the New Curriculum
Mathematical modelling ability is an essential competency for students to understand mathematical knowledge in relation to the real world and to solve complex problems.It is also a core mathematical competency focused on in the new curriculum for general senior high schools and compulsory education stages in China.The new curriculum standards at the primary,junior high,and senior high school levels respectively introduce three key terms:"model awareness","model concept","mathematical modelling",which indicate the pathway for cultivating mathematical modelling competency.Against this background,it has become an urgent and challenging task to promote the teaching and assessment of mathematical modelling at the basic education level.The study,based on the concepts and requirements of the new curriculum standards,designed assessment tools and conducted a survey on the mathematical modelling competency of 1,428 middle school students across five cities in China.Using a triple coding system,the study analyzed the overall level and characteristics of mathematical modelling competency among eighth-grade students in China,providing empirical evidence for future mathematical modelling teaching and assessment at various educational stages.The study found that students are not yet able to adapt to open and real mathematical modelling problems;they lack a complete understanding of the mathematical modelling process;gender differences in students'modelling abilities are influenced by the progression of the modelling process;and students have the potential to creatively solve mathematical modelling problems.Based on these findings,the study reflects on future mathematical modelling assessment and teaching,and makes recommendations.