Background: Williams syndrome (WMS) is a rare genetic disorder with an estimated prevalence of 1 in 20,000 live births. Among other characteristics, WMS has a distinctive cognitive profile with spared face processing and language skills that contrasts with impairment in the cognitive domains of spatial cognition, problem solving and planning. It…

Purpose: This paper aims to analyse how learning levels differ within and between degrees and diplomas with specific application to the Bachelor of Applied Business Studies degree and the New Zealand Diploma of Business, which are delivered at a New Zealand polytechnic. Design/methodology/approach: A literature review and content analysis of…

The Problem-Solving Inventory (PSI; Heppner & Petersen, 1982) was developed to assess perceived problem-solving abilities. Using confirmatory factor analysis, results supported a bilevel model of PSI scores with a sample of 164 Mexican American students. Findings support the cultural validity of PSI scores with Mexican Americans and enhance the…

The author knows from teaching young children herself how challenging it can be to face an endless parade of students reporting things to teachers as they're trying to teach. Figuring out how to deal with tattling takes time and energy and, as a result, teachers are often tempted to tell children to keep problems to themselves. Indeed, some…

Knowledge restructuring refers to changes in the strategy with which people solve a given problem. Two types of knowledge restructuring are supported by existing category learning models. The first is a relearning process, which involves incremental updating of knowledge as learning progresses. The second is a recoordination process, which…

The aim of this study is twofold. The first is to investigate the ability of secondary school students to understand the different distribution schemes and thus, indirectly, to contribute to the educational discussion and approach to be used for distribution problems so as to lessen reliance on the ubiquitous cross-multiplication rule in…

Posing mathematics problems in different ways will raise students' level of cognitive demand because it will push them to think more deeply about mathematics. By engaging students in a task that requires them to determine their own solution strategies, students will gain a deeper understanding of the mathematical concept explored through the task.…

The Monty Hall dilemma (MHD) is a remarkably difficult probability problem with a counterintuitive solution. Undergraduate students used an interactive digital learning object that provided a set-based, animated explanation of the solution to the MHD and let them play games designed to increase understanding of the solution. More than 60% of users…

Many studies of design fixation ask designers to work in controlled laboratory or classroom environments, but innovative design work frequently occurs in dynamic, social environments. The two studies reviewed in this paper investigated how three independent variables likely to be present in many design environments affect design fixation. The…

This paper argues that design fixation, in part, entails fixation at the level of meta-representation, the representation of the relation between a representation and its reference. In this paper, we present a mathematical model that mimics the idea of how fixation can occur at the meta-representation level. In this model, new abstract concepts…

The authors examine whether and how observing anger influences thinking processes and problem-solving ability. In 3 studies, the authors show that participants who listened to an angry customer were more successful in solving analytic problems, but less successful in solving creative problems compared with participants who listened to an…

Recreational Programming (RecPro) is the discipline that encourages the study of computer programming through ludic problems. Problems that are typically studied within this discipline are similar to those of Recreational Mathematics (RecMat), which sometimes leads to the confusion of these two disciplines. The objective for RecPro is to write…

What role do gestures play in advanced mathematical thinking? We argue that the role of gestures goes beyond merely communicating thought and supporting understanding--in some cases, gestures can help generate new mathematical insights. Gestures feature prominently in a case study of two participants working on a sequence of calculus activities.…

This article describes a probability project used in an upper division, one-semester probability course with third-semester calculus and linear algebra prerequisites. The student learning outcome focused on developing the skills necessary for approaching project-sized math/stat application problems. These skills include appropriately defining…

The present study builds on research that indicates that teachers play a key role in promoting those interactional behaviours that challenge children's thinking and scaffold their learning. It does this by seeking to determine whether teachers who implement cooperative learning and receive training in explicit strategic questioning strategies…