Peer-Led Team Learning (PLTL) is a method of student assisted learning in which a successful undergraduate student guides a team of 6-8 students engaged in solving problems developed by the course instructor. The peer leaders serve as role models for their students who want to become peer leaders and the leaders also recruit other students to…

This article is a case study, assisted by the collection of data which has been analysed as an evaluative measure, of the initial element of an Information and Communications Technology (ICT) module for a cohort of trainee teachers on a Postgraduate Certificate of Education (PGCE) course for primary school teaching. The standards which the…

This narrative presents the educational route followed by an Intel Science and Engineering Fair (Intel ISEF) winner who was not always recognized for his scientific abilities. Factors contributing to the success of this gifted student are presented, as well as his creative insights for solving the problem that gave rise to the winning project.…

This article describes an approach to teaching a required preservice course in special education using problem-based learning (PBL). PBL is an instructional method informed by constructivist theory. Pre-service teachers engage in solving problems that are representative of actual situations they may encounter in their teaching practice. They are…

Carry Groups are a wonderful collection of groups to introduce in an undergraduate Abstract Algebra course. These groups are straightforward to define but have interesting structures for students to discover. We describe these groups and give examples of in-class group projects that were developed and used by Miller.

The study we present tries to explore how first year engineering students formulate hypotheses in order to construct their own problem solving structure when confronted with problems in physics. Under the constructivistic perspective of the teaching-learning process, the formulation of hypotheses plays a key role in contrasting the coherence of…

In a time when nearly half the country's employees are currently working in self-directed work groups, successful team working within organizations is more important than ever. The Problem-Possibility-Pursuit-Presentation (PPPP) Portfolio Project is designed to give students an opportunity to experience teamwork in a meaningful fashion. This…

Groups are defined as a small, interdependent group of individuals who share a common identity and interact with one another, usually face to face over time. While groups can be an effective way to explore issues and provide creative solutions to problems, rarely do members in groups get through the process without encountering a difficult group…

We compared the effectiveness of a problem-solving and an external control intervention to teach social skills to five adults with mild intellectual disabilities. The social skills of ''responding to corrective feedback'' and ''managing conflict'' were targeted for intervention. Each participant received the problem-solving intervention with one…

Lance and Loertscher warn that it is possible to use high-quality information resources and still create ineffective learning experience for K-12 students. To illustrate, they discuss the ?bird unit,? the type of research activity where students search for information in order to fill in worksheets that they transform into essays and…

A point "E" inside a triangle "ABC" can be coordinatized by the areas of the triangles "EBC," "ECA," and "EAB." These are called the barycentric coordinates of "E." It can also be coordinatized using the six segments into which the cevians through "E" divide the sides of "ABC," or the six angles into which the cevians through "E" divide the angles…

In this paper, we discuss issues in planning and conducting research into mathematics learning. We emphasize two central themes: (a) the learners mathematics (especially the issues and ideas, in given problem situations, that learners' choose to think about and to present) and (b) the kinds of knowledge that learners may be building (including…

Preschool children are often good at counting things but seem slow to learn that there is more to counting than simply finding out how many are in a single set. Counting is useful when comparing sets and when creating new sets to match existing ones. This is part of the numerical understanding that educators wish to foster in schools. In two…

A key principle in problem-based learning (PBL) is the student linking learning from different sources to enrich understanding. We have explored how medical students based in a clinical environment use clinical experience within PBL groups. We recorded the discussion of 12 third-year groups, which were meeting for the second time on a PBL case,…

A one-credit seminar course for junior-senior mathematics majors is described. The topic for the seminar is continued fractions, taught by a modified Moore Method, where the focus is on students creating their own mathematics. The students make conjectures after completing computational problems, then work on refining the needed hypotheses,…