This article argues for a shift in how researchers discuss and examine students' uses and understandings of multiple representations within a calculus context. An extension of Zazkis, Dubinsky, and Dautermann's (1996) visualization/analysis framework to include contextual reasoning is proposed. Several examples that detail transitions between…

Representations in physics possess both physical and conceptual aspects that are fundamentally intertwined and can interact to support or hinder sense making and computation. We use distributed cognition and the theory of conceptual blending with material anchors to interpret the roles of conceptual and material features of representations in…

In an innovative, progressive school, students were asked to solve a fairly routine mathematical problem using real money in a "real-world" scenario. Even though the school values students' ideas, the reaction of the teacher to one student's alternative modelling of the problem suggests that he was expecting a particular answer to be…

As numerous research studies suggest, teachers who desire increased student learning should adopt active learning. This article explores the research, defines active learning, discusses its value, offers suggestions for implementing it, and provides six concrete examples of active learning approaches: Thinking-Aloud Pair Problem-Solving;…

The Independent Public Schools (IPS) program began to be implemented in some Western Australian schools in 2010. The IPS program devolves a number of responsibilities to principals and is part of the political objective of removing the constraints of the education bureaucracy by fostering school level decision-making, problem-solving and…

The Early Childhood Innovation Zones initiative was established by Illinois Action for Children (IAFC), with guidance from the Illinois Governor's Office for Early Childhood Development. Funded by a Race to the Top--Early Learning Challenge grant, this initiative supported capacity building efforts for organizations working with young children in…

This study distinguishes whether substitute teachers enact coping strategies that mitigate the source of work-related stress (problem-centered) or coping strategies that enable them to adapt to stress created by work-related stressors (avoidance-centered). The author gathered data for this analysis by conducting 37 in-depth interviews with…

The article deals with the way in which authority was established and interpreted by teachers and students in two Flemish sixth-grade mathematics classrooms. Problem-solving lessons during a seven-month observation period were analysed regarding three aspects of teacher-student interactions that explicitly or implicitly reflect who bears…

A perceived difficulty is associated with physics problem solving from a learner's viewpoint, arising out of a multitude of reasons. In this paper, we have examined the microstructure of students' thought processes during physics problem solving by combining the analysis of responses to multiple-choice questions and semistructured student…

The article is based on an empirical, interview-based research project investigating resources and barriers to creative teaching within three Danish primary and secondary schools. The analysis shows how project-oriented teaching does seem to represent a creativity oasis for both teachers and pupils. Furthermore, the work identifies a distinction…

This study explored how children with cerebral palsy describe competent performance in everyday activities and sought to better understand the processes by which the children developed competence. Five children with cerebral palsy aged six to 17 years participated in a three-step procedure that included two observations, one semi-structured…

This study presents and interprets some conceptual difficulties junior-level physics students experience with Ampere's law. We present both quantitative data, based on students' written responses to conceptual questions, and qualitative data, based on interviews of students solving Ampere's law problems. We find that some students struggle to…

This paper explores the nature and source of mathematics homework and teachers' and students' perspectives about the role of mathematics homework. The subjects of the study are three grade 8 mathematics teachers and 115 of their students. Data from field notes, teacher interviews and student questionnaire are analysed using qualitative methods.…

As much research has demonstrated, novel scientific concepts do not arise fully formed in the head of a scientist but are created in problem-solving processes, which can extend for considerable periods and even span generations of scientists. To understand concept formation and conceptual change it is important to investigate these processes in…

In a contest featuring hands-on projects, college students were required to design a simple crawling worm using planning, self-monitoring and self-evaluation processes to solve contradictive problems. To enhance the efficiency of problem solving, one needs to practice meta-cognition based on an application of related scientific concepts. The…