This study investigates Chinese and U.S. teachers' construction and use of pedagogical representations surrounding implementation of mathematical tasks. It does this by analyzing video-taped lessons from the Learner's Perspective Study, involving 15 Chinese and 10 U.S. consecutive lessons on the topic of linear equations/linear relations. We…

Although not trained as treatment providers, teachers are increasingly faced with students who present challenging behavioral issues that require intervention. Teachers often resort to reactive and punitive strategies that have many negative side effects and drawbacks because they lack specific training in managing problem behavior in the…

Objective: Problem-based learning (PBL) has been implemented in medical education world-wide. Despite its popularity, it has not been generally considered useful for residency programs. The author presents a model for the implementation of PBL in residency programs. Method: The author presents a description of a PBL curriculum for teaching…

Abstract: Students must be prepared to lead a diverse workforce. The objective of this study was to establish a teaching method that helps students identify barriers to food safety while working in a simulated environment with communication barriers. This study employed a perspective taking exercise based upon the principles of social learning…

Problem-based learning (PBL) is generally organized in three phases, involving collaborative and self-directed learning processes. The hypothesis tested here is whether learning in the different phases of PBL is cumulative, with learning in each phase depending on that of the previous phase. The scientific concepts recalled by 218 students at the…

Problem-based learning (PBL) is a constructivist approach to learning which is believed to promote reflective thinking in students. This study investigated how students in one particular institution developed in their reflective thinking habits--Habitual Action, Understanding, Reflection, and Critical Reflection--as they went through the daily…

The aim of this study is twofold. The first is to investigate the ability of secondary school students to understand the different distribution schemes and thus, indirectly, to contribute to the educational discussion and approach to be used for distribution problems so as to lessen reliance on the ubiquitous cross-multiplication rule in…

Due to the student-centered nature of problem-based learning (PBL) and project-based science (PBS), it is easy for teachers "not" to provide students with adequate feedback or enough support to promote critical thinking. However, research has shown that PBL and PBS are most effective when appropriate learning goals are defined, embedded supports…

Posing mathematics problems in different ways will raise students' level of cognitive demand because it will push them to think more deeply about mathematics. By engaging students in a task that requires them to determine their own solution strategies, students will gain a deeper understanding of the mathematical concept explored through the task.…

The Monty Hall dilemma (MHD) is a remarkably difficult probability problem with a counterintuitive solution. Undergraduate students used an interactive digital learning object that provided a set-based, animated explanation of the solution to the MHD and let them play games designed to increase understanding of the solution. More than 60% of users…

What role do gestures play in advanced mathematical thinking? We argue that the role of gestures goes beyond merely communicating thought and supporting understanding--in some cases, gestures can help generate new mathematical insights. Gestures feature prominently in a case study of two participants working on a sequence of calculus activities.…

This article describes a probability project used in an upper division, one-semester probability course with third-semester calculus and linear algebra prerequisites. The student learning outcome focused on developing the skills necessary for approaching project-sized math/stat application problems. These skills include appropriately defining…

The present study builds on research that indicates that teachers play a key role in promoting those interactional behaviours that challenge children's thinking and scaffold their learning. It does this by seeking to determine whether teachers who implement cooperative learning and receive training in explicit strategic questioning strategies…

Historically, most educators have recognized two primary aims of school discipline: (a) managing student behavior, relying primarily on the use of teacher-centered techniques for preventing and correcting misbehavior; and (b) developing self-discipline, combining teacher-centered techniques with more student-centered techniques that focus on…

The purpose of this essay is to critically examine course structure and the role it may play in improving teaching presence in an asynchronous online learning environment. The examination is grounded in experiential learning; adult learning principles; case-based and problem-based learning methods; and peer reviews. The discussion is concluded…