InterMath participants spend time in workshops exploring technology-rich mathematical investigations and completing write-ups. These write-ups include a written explanation of their problem solving process, screen captures of files that they generated while completing the investigation and links to these files. This paper examines the use of…

This paper articulates a perspective on learning to discuss ways in which students develop personal sense and negotiate meaning in a middle school algebra context. Building on a sociocultural perspective that incorporates mental objects, learning is described as a mutually dependent process involving personal sense making and the public…

This paper reports a study of how students may connect the limiting process inherent in the derivative to the limit of the difference quotient (LDQ) when solving problems. The data was collected mainly through task-based interviews with five eleventh grade students. It was found that the students used various kinds of limiting processes and…

What does attention to feeling have to do with solving problems in mathematics? Can feeling be used to navigate a path to a solution? What is meant by a feeling anyway? To what kind of problem does this productive benefit refer? A study of 405 middle school students solving two novel mathematics problems found that individuals utilising a feeling…

This paper describes the design of a web-based learning module. The aim in the design was to operationalize the concepts of granularity, reusability, scalability, and interoperability as they relate to learning objects. The prototypical module was designed for contexts where identifying and solving ill-structured problems is relevant. The module…

Language planning is normally thought of in terms of large-scale, usually national planning, often undertaken by governments and meant to influence, if not change, ways of speaking or literacy practices within a society. It normally encompasses four aspects: status planning (about society), corpus planning (about language), language-in-education…

Research suggests that quality interventions, ambitious goals, and formative progress monitoring positively impact student achievement. This study evaluated 32 reading intervention cases, generated from problem-solving service delivery, for the inclusion of quality indices, goal ambitiousness, and student growth over time. Intervention quality was…

This study examines one child's use of computational procedures over a period of 3 years in an urban elementary school where teachers were using a standards-based curriculum. From a sociocultural perspective, the use of standard algorithms to solve mathematical problems is viewed as a cultural tool that both enables and constrains particular…

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…