This article explores the notion of "active reception" during small-group collaborative interaction in the foreign language classroom, focusing on the embodied participation of a secondary (nonspeaking) interactant, Diane. Drawing on Vygotskian sociocultural theory, we argue that within small-group work, a Zone of Proximal Development…

In this study, novel and old scientific innovations (NSI and OSI) were selected as materials to explore the electrophysiological correlates of scientific innovation induced by heuristic information. Using event-related brain potentials (ERPs) to do so, college students solved NSI problems (for which they did not know the answers) and OSI problems…

The Evolving Systems approach to case studies due initially to Piaget-contemporary Howard Gruber, and complemented by subsequent work on sociocultural factors developed by Mihaly Csikszentmihalyi and others, provides an inroad for examining creative achievements in a variety of domains. This paper provides a proof of concept for how one might…

Based on Steiner's fascinating theorem for trapezium, seven geometrical constructions using straight-edge alone are described. These constructions provide an excellent base for teaching theorems and the properties of geometrical shapes, as well as challenging thought and inspiring deeper insight into the world of geometry. In particular, this…

This paper presents the outcomes of teaching an inventive problem-solving course in junior high schools in an attempt to deal with the current relative neglect of fostering students' creativity and problem-solving capabilities in traditional schooling. The method involves carrying out systematic manipulation with attributes, functions and…

Innovative professionals rely on a specific ways of thinking to solve the nonstandard problems that come up in practice (Goodwin, "Am Anthropol" 96(3):606-633, 1994; Schön, "The Reflective Practitioner: How Professionals Think in Action," 1983; "Educating the Reflective Practitioner: Toward a New Design for Teaching and…

This paper examines the use of contextual problems to support mathematical learning based on current classroom practice. The use of contextual problems offers some potentials to engage and motivate students in learning mathematics but it also presents some challenges for students in classrooms. Examples of the use of contextual problems from…

This study describes the mathematical construction of a real-life model by means of parametric equations, as well as the two- and three-dimensional visualization of the model using the software GeoGebra. The model was initially considered as "determining the parametric equation of the curve formed on a plane by the point of a pen, positioned…

This article describes "modeling" as the act of creating an "idealized version of a real-life situation" that has been "translated into mathematical terms." By exploring an open-ended investigation involving proportional reasoning, sixth grade students were able to walk through both problem solving and modelling. The…

Debates in education are often polarised by those who want students to be firmly told what they should take on board, and those who insist individuals learn best if they were liberated from all forms of collective arrangement (such as an education authority). Some politicians even fluctuate between the two sets of views without any underlying…

Teachers are natural problem solvers, and they should be using this quality to their advantage when it comes to solving the systemic issues that plague Philadelphia's education system. Many of the articles in this issue have already gone into great detail about what is happening in Philadelphia. Torch Lytle has provided a summary of the recent…

Students' success in solving problems involving proportional reasoning is an indication that they have moved beyond additive thinking to multiplicative thinking. However, classroom work indicates that many students do not reason proportionally in many practical contexts. The authors discuss a particular task that reveals students'…

Assessment has become a central aspect of engineering education for evaluating student learning, attaining accreditation, and ensuring accountability. However, the final step of the assessment process, which requires assessment results be used to redesign courses and programmes, is appreciably underdeveloped in the literature. As such, this work…

This study focuses on vocational education teachers' instructional activities in a new technology-enhanced learning (TEL) setting. A content analysis is applied to investigate teachers' and students' interactions in a 3D game context. The findings illustrate that when teachers' and students' interactions are mediated by a…

Making the connection between science and technology might be important for students to learn to identify and solve problems and to acquire scientific knowledge and skills. The research reported in this article concerned the development of a design situation in a science classroom and the study of students performing in this situation. More…