Problem posing has received increased attention among researchers and educators. One of the most important aspects is to understand the cognitive process of problem posing. In this study, we conceptualized a framework for the cognitive process of mathematical problem posing in three stages: (a) input--understanding the task, (b)…

Open-ended tasks were used to examine gender differences in complex mathematical problem solving. The results of this study suggest that, overall, males perform better than females, but the gender differences vary from task to task. A qualitative analysis of student responses to those tasks with gender differences showed that male and female…

Metacognitive behaviors of subjects having high (n=2) and low (n=2) levels of mathematical experience were compared across four cognitive processes in mathematical problem solving: orientation, organization, execution, and verification. High-experience subjects engaged in self-regulation and spent more time on orientation and organization. (36…

Only 25% of fifth- and sixth-grade Chinese students (n=186) correctly solved a division-with-remainder computation task, about the same success rate as with American students, and only one-sixth of the students could interpret the result. (MKR)

Discusses a performance assessment tool that entails open-ended tasks requiring students not only to provide answers but to show their solution processes. Discusses several areas to address in developing open-ended tasks. Areas include the need to assess important mathematical content and cognitive processes, use of effective prompts, and use of…