An Analysis of Unexpected Responses in Middle School Students’ Mathematical Problem Posing from the Perspective of Problem-Posing Processes
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.
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 three different problem-posing processes: 1) orientation responses related to different interpretations of the problem-posing prompt or situation accounted for the majority; 2) connection responses related to making connections among pieces of information accounted for the second most common type; and 3) generation responses related to generation of problems only accounted for a very small proportion.