This paper examines the classroom practices of three teachers teaching mathematics at the 5th grade level in three Singapore schools. Using a video-coding scheme, a series of lessons was coded into relevant phases comprising problem solving, teaching concepts/skills, going over assigned work, and student activities. It explores the teachers'…

This paper raises issues motivated by considering the "identity" of problem solving. This means that we are concerned with how other mathematics education topics impinge on problem solving, and with themes that naturally arise within the problem-solving agenda. We claim that some of these issues need more attention by educational research, while…

Recent education reforms informed by learning science support the effectiveness of collaborative learning strategies such as problem-based learning groups. However, the efficacy of these methods depends on the authenticity of the problem context and the quality of the dialog established. Communication within groups must be dialogic, and students…

This article describes an approach for introducing the unit concept in a mathematics content course designed for preservice elementary mathematics teachers. Classroom activities presented in the article emphasize the awareness, flexibility, and importance of the unit concept. Dialogue with selected preservice teachers is included and reveals some…

Launching new or improved products to the market typically involves extensive collaboration within and beyond the enterprise. Succeeding in a customer-driven market economy demands the practice of simultaneous engineering. The standard engineering or engineering technology curricula continue to make efforts in providing students with opportunities…

For the past five years, our students have been passing less and less time preparing for lectures and exams. To encourage them to do more exercises, a pedagogical activity was offered outside the classroom. With the goal of making students more active during the problem-solving process, an innovative online environment, Sphinx, was developed.…

There is no common agreement on the meaning of the word "understand". However, there is agreement on what students should be able to do with material they understand. Bloom et al. discuss kinds of tasks a student should be able to do, provided that the student understands. In a similar way, Biggs and Collis provide a taxonomy intended to evaluate…

This article describes the process used in elementary mathematics content courses to engage preservice teachers in problem-solving activities to enhance their understanding and ability to analyze nonroutine problems. Through this process, preservice teachers' competencies and confidence with these problems improve. (Contains 7 figures.)

This study investigated obstacles to teaching civic education in the United States, a country whose government was established on democratic principles over 250 years ago, and Hungary, a European country presently making the transition to a government based on democratic principles. The purpose is to compare the obstacles within these two…

Despite plenty of practice, many students find interpreting and solving word-problems difficult. How can teachers work with students so that they learn to make appropriate sense (or should it be "inappropriate sense"?) of word-problems? One way to investigate how students make sense of word-problems is to ask them to write some of their own. The…

Despite growing interest in evaluative inquiry as a trigger for development of organizational learning capacity, there exists a paucity of empirical research in this area. This is particularly the case in the context of schools, where systematic inquiry to support decision making and problem solving is hardly a mainstream activity. The purpose of…

Today, educational reform equals testing. This over reliance on testing has come about because of a belief that a paper and pencil or computer-based test can truly measure student learning and that results can be used for punishment, reward, and accountability purposes. This simplistic approach to reform is viewed as a quick fix to long seething…

Students value participation in meaningful research. They feel empowered when they effect positive change in their communities. They also have a strong affinity for frogs and toads, although they vehemently deny this at the start of the school year. In addition, most students recognize the value of using computer technology to solve world…

Calculators can be used in primary schools in a number of situations. They are most beneficial when working with large numbers, dealing with real data that leads to complex calculations, performing repetitive calculations, developing concepts, estimating and checking, problem solving, and looking for patterns and/or relationships. But what if the…

No Child Left Behind mandates accountability data for school districts. This mandate has led to increased attention to instruction and academic remediation among educational researchers. The current study used schoolwide curriculum-based assessment (CBA) and curriculum-based measurement (CBM) data to plan and deliver mathematics instruction to…