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Jinfa Cai; Benjamin Rott – ZDM: Mathematics Education, 2024
Problem posing engages students in generating new problems based on given situations (including mathematical expressions or diagrams) or changing (i.e., reformulating) existing problems. Problem posing has been at the forefront of discussion over the past few decades. One of the important topics studied is the process of problem posing as…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Models
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Hua Ran; Jinfa Cai; Faith Muirhead; Stephen Hwang – Educational Studies in Mathematics, 2025
Using data from a problem-posing project, this study analyzed the characteristics of middle school students' responses to problem-posing prompts that did not match our assumptions and expectations to better understand student thinking. The study found that the characteristics of middle school students' unexpected responses were distributed across…
Descriptors: Middle School Students, Middle School Mathematics, Mathematics Skills, Problem Solving
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Ling Zhang; Naiqing Song; Guowei Wu; Jinfa Cai – Educational Studies in Mathematics, 2025
This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students' behavior in these three stages of problem posing, especially focusing on investigating…
Descriptors: Cognitive Processes, Mathematics Skills, Problem Solving, Eye Movements
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Qimeng Liu; Jian Liu; Jinfa Cai; Tianxue Cui – European Journal of Education, 2025
This study explores the task-specific self-efficacy of 1815 Chinese fourth graders and 1767 eighth graders as well as its relationship to their problem-posing performance and the moderating effect of grit on this relationship. the linear regression model, generalised additive model (GAM) and continuous threshold regression model (CTRM) were used.…
Descriptors: Elementary School Students, Middle School Students, Grade 4, Grade 8