This study investigated the effect of general creative personality and freedom of task choice on the social creativity of adolescents. The results indicated, first, that senior high school students scored higher than junior high school students. Second, girls scored higher than boys on originality, fluency, flexibility, appropriateness, and…

This study investigated 11 pre-service middle school teachers' solution strategies for exploring their knowledge of fraction division interpretations. Each participant solved six fraction division problems. The problems were organized into two sets: symbolic problems (involving numbers only) and contextual problems (involving measurement…

The literature on RTI has indicated that professional development and coaching are critical to facilitating problem-solving implementation with fidelity. This study examined the extent to which systems coaching related to the fidelity of problem-solving implementation in 31 schools from six districts. Schools participated in three years of a…

This research examined differences in beliefs about the acceptability of aggression and behavioral responses to aggression of preschool-aged children. Two groups, identified from teacher ratings, participated in the research. One group of children exhibited relationally aggressive behaviors, and a comparison group was identified with…

Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…

People often use spatial metaphors (e.g., think "laterally," "outside the box") to describe exploration of the problem space during creative problem solving. In this paper, we probe the potential cognitive underpinnings of these spatial metaphors. Drawing on theories of situative cognition, semantic foraging theory, and…

Most word processors, including Google Docs™ and Microsoft® Word, include an equation editor. These are great tools for the occasional homework problem or project assignment. Getting the mathematics to display correctly means making decisions about exactly which elements of an expression go where. The feedback is immediate: Students can see…

This article examines whether the 7 abilities found in a previous study carried out by the authors to constitute fraction understanding of sixth grade elementary school students determine hierarchical levels of fraction understanding. The 7 abilities were as follows: (a) fraction recognition, (b) definitions and mathematical explanations for…

The present study examines narrative competence and its relationships with syntactic and prosodic skills in preschool children. The narrative skills of 30 typically developing Italian children were assessed during their first year of kindergarten attendance (T1) and again one year later (T2). A picture book was used to elicit children's…

This paper, "A critical reflection on my learning and its integration into my professional practice," was successfully submitted for a Master's programme at the University of Bath (UK) in 2010, whilst Sally was working full-time as a teacher in a large secondary school in an English town 10 miles from the city of Bath. Sally died of a…

There are strong classroom ties between mathematics and the sciences of physics and chemistry, but those ties seem weaker between mathematics and biology. Practicing biologists realize both that there are interesting mathematics problems in biology, and that viewing classroom biology in the context of another discipline could support students'…

People spontaneously gesture when they speak (co-speech gestures) and when they solve problems silently (co-thought gestures). In this study, we first explored the relationship between these 2 types of gestures and found that individuals who produced co-thought gestures more frequently also produced co-speech gestures more frequently (Experiments…

Evidence from a range of fields indicates that inventions are often inspired by drawing a parallel to solutions found in nature. However, the cognitive mechanism of this process is not well understood. The cognitive mechanism of heuristic prototype in scientific innovation was tested with 3 experiments. First, 84 historical accounts of important…

This article presents an overview of the Organization for Economic Cooperation and Development's (OECD) Programme for International Student Assessment (PISA) 2012 Problem-Solving assessment. The assessment examined the capabilities of 15-year-olds in 40 nations and four large international cities, as well as the Canadian Provinces, to solve a set…

In this article the authors describe a project during which they unpacked fraction standards, created rigorous tasks and lesson plans, and developed formative and summative assessments to analyze students' thinking about fraction multiplication. The purpose of this article is to (1) illustrate a process that can be replicated by educators…