Students frequently struggled with the mathematizing process -- forging connections between implicit and explicit mathematical thinking -- when solving a context-rich applied problem. The current research investigated how students interact with and leverage purposively designed "mathematizing" supports when solving applied math problems…

This study reports the effects of different types of instructional preparation strategies on the problem solving performance of college students taking an introductory physics class. Students were divided into four equally skilled groups and solved the same physics problems after receiving different instructional preparations (engaging in…

Most educators increasingly regard ill-structured problem solving as an important objective of learning and have sought various means to achieve it. In this article, we describe a learning environment to help pre-service teachers in Singapore solve ill-structured problems. There are four key dimensions in our learning environment: tutor-led…

The present study investigated the effects of question prompts in scaffolding novice instructional designers solving ill-structured, instructional design problems in a Web-based learning environment. The effects of question prompts were studied under different prompting conditions (Question-Elaboration vs. Question-Guidance), taking into…

Discussion of peer-based collaborative learning focuses on two related studies: a micro-structure comparative analysis of students' psycho-social behaviors in computer-based collaborative learning experiments conducted in face-to-face and distributed learning environments; and an examination of cognitive effects of peer-based collaborative…