Problem-based learning puts students in situations that suggest problems without providing instructions and available knowledge. Therefore, when using problem-based learning, students need to be flexible, self-disciplined, active and self-occupied with knowledge and turn the knowledge the teacher intends to impart into their knowledge. For locus…

The educational benefits of challenge- or problem-based approaches to learning are now well established. Action Research (AR) and Action Learning (AL) together provide educators with an ethic, a research methodology and a pedagogical strategy for harnessing and developing the motive power of purposeful activity for reflective enquiry in teaching…

This reflection paper examines the uses and benefits of technology integration into a college course focused on teaching mathematics and provides the foundation for future research. Teacher education course work included technology that included augmentation, modification, and redefinition of learning tasks made possible through technological…

Launching a problem is critical in a problem-based lesson. We investigated teachers' perspectives on the use of a problem that was analogous to the one provided during a launch. Our goal was to identify teachers' underlying assumptions regarding what should constitute a launch as elements of the "practical rationality of mathematics…

The use of modeling projects serves to integrate, reinforce, and extend student knowledge. Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course content via a writing or research experience. Here we discuss…

In this paper, a Hong Kong primary school lesson on area and perimeter is analysed with a perspective to discuss the meaning for students to have rich mathematical experiences and how pre-designed pedagogical tools could enrich mathematics classroom learning environment which promote re-shaping, shaping and even creation of mathematical knowledge.…

To prepare to teach in mathematics classrooms where children learn to justify their thinking, the teachers themselves must have experienced an environment of inquiry, communication, collaboration, and reasoning. Teacher educators strive to establish such environments for preservice teachers (PSTs) and to support their transition from rules-based…

This study examines the communication between pre-service teachers and sixth grade students in a project in which email was used for communication as students learned about fractions and were supported by the pre-service teachers. Specifically, the study investigated how the pre-service teachers applied their mathematical knowledge to understand…

Based on the notions of social and socio-mathematical norms we investigate how these are established during the interactions of pre-service teachers who solve mathematical problems. Norms identified in relevant studies are found in our case too; moreover, we have found norms related to particular aspects of the problems posed. Our results show…

This article examines the impact of using a problem-based curriculum in a heterogeneous classroom environment. (Contains 1 table.)

This teacher development study closely examined a teacher's practice for the purpose of understanding how she selected and implemented instructional materials, and correspondingly how these processes changed as she developed her problem-based practice throughout a school year. Data sources included over 20 hours of planning and analysis meetings…

Specific examples are used to discuss assessment, an integral part of mathematics instruction, with problem posing and assessment of problem posing. General assessment criteria are suggested to evaluate student-generated problems in terms of their quantity, originality, and complexity.

Constructivism, which holds that knowledge is created out of each individual's own experience, is recapturing researchers' attention. To constructivists, teachers are not omniscient oracles, but nutritionists providing an environment for children to grow their own knowledge. Students might learn division by planning a field trip instead of…

This study examines the learning of five pre-service teachers investigating a question stemming from their mathematics teaching as part of a final course project in their elementary teacher education program. Analysis of video recordings of group meetings and interviews indicate that as pre-service teachers completed their projects they developed…

This study aimed to investigate children's performance and perception of problem difficulty in solving everyday mathematical problems with familiar versus unfamiliar contexts. In addition, the ways that children identify the similarities in problem-solving approaches between problem settings and everyday shopping were also examined. Forty-eight…