Factor-Q is a problem-solving computer assisted instruction system for teaching polynomials in grades 9-12 that addresses the limitations of most problem-solving programs, among others, the user interface. The system is designed to help students master the skills of factorizing polynomials. It demonstrates the ease with which inadequately trained…

Claims that readers can conduct dialogue with many inner audiences through reading, and readers who manage to do so are likely to develop more sophisticated strategies for learning. Describes different kinds of dialogues, specifically, dialoging with reader's experience, with the author/illustrator, with genre, with problems, and with culture.…

Describes how a primary teacher handled an argument among her students over what to do about army worms defoliating an apple tree, thereby illustrating how she cultivates a classroom community that nurtures democracy. Such stories of morally coherent practices counter the bureaucratic insistence on a narrowly construed outcomes-based education.…

Discusses the meaning of a "contextual approach" to teaching physics. Advances a model of contextual physics teaching that can also be applied to other science disciplines. (Contains 54 references.) (Author/WRM)

Compared use of problems and the conventional case method as methods of instruction at the Utrecht University Law School (Netherlands). The problem method required students to find, frame, and analyze issues and provided training seminars in legal problem-solving skills. Students using problems spent more time on learning activities and performed…

In this paper, we look backwards to educational development principles and practices as implemented in the 1990s at Chalmers University of Technology, Sweden, and forward to ideal principles and practices for the design of courses for teachers in higher education. The bridge between the two lies partly in an evaluation study, which we will…

The purpose of this study was to get more insight in the effects of written assessment tasks integrated in a problem-based learning environment. Both the influence on students' performances and students' perceptions were investigated. Students' final exam results were used to find out whether students who make the assessment tasks do better than…

This article explores some way that technology can be used to promote mathematical thinking and problem solving. Specifically, it focuses on the use of technology for multiple representations. (Contains 8 figures.)

Fostering students' mathematical thinking requires regularly presenting them with challenging problems and involving them in the processes of mathematical inquiry (e.g., representing and solving problems; making, testing, and justifying conjectures). The Inverting a 36 Penny Triangular Array problem (called the Inverting problem, for short) is a…

The original work of Alex Osborn making the creative process more explicit, and the following 50 years of research and development on creative problem solving, have made an important and wide-spread contribution to those interested in the deliberate development of creative talent. This article provided a summary of the many versions of creative…

In society, there is a growing need for graduates who possess competencies consistent with deep learning. This means that, amongst other competencies, graduates should be capable of dealing with the complexity of the tasks in which they will engage in professional situations. We tried to increase the depth of students' learning by changing the…

Problem-based learning (PBL) is apprenticeship for real-life problem solving, helping students acquire the knowledge and skills required in the workplace. Although the acquisition of knowledge and skills makes it possible for performance to occur, without self-efficacy the performance may not even be attempted. I examined how student…

An active learning environment is one in which students are able to "seek" out new experiences, "interpret" them, and "relate" them to previous experiences. This approach allows students to engage in independent thinking, problem solving, and guided discovery as they explore broad movement concepts. An active learning means that students are…

Problem solving continues to be a major focus of K-12 mathematics education reform. This case study shows how a teacher's middle school mathematics instruction evolved from teaching problem solving as computation exercises to teaching how to select and implement combinations of problem solving strategies. The teacher's thinking about problem…

The importance of algebra instruction has increased in the United States in the past few years. Thus, in most states, middle school students are required to take Algebra 1. Middle school students with math difficulties in inclusion algebra settings may require a different instructional approach. The purpose of this research was to compare student…