Our primary purpose in this article is to propose an interpretive scheme for analyzing the identities that students develop in mathematics classrooms that can inform instructional design and teaching. We first introduce the key constructs of normative identity and personal identity, and then illustrate how they can be used to conduct empirical…

This study examined relations among social information-processing (SIP) variables in the domains of peer provocation and peer group entry. Using Crick and Dodge's [Crick, N. R., & Dodge, K. A. (1994). "A review and reformulation of social information-processing mechanisms in children's social adjustment." "Psychological Bulletin," 115, 74-101]…

This case study illustrates the sequential process of the joint and individual knowledge elaboration in a computer-supported collaborative learning (CSCL) environment. The case comprised an Internet-based physics problem-solving platform. Six Dutch secondary school students (three males, three females) participated in the three-week experiment.…

Solving arithmetic and algebraic word problems is a key component of the Singapore elementary mathematics curriculum. One heuristic taught, the model method, involves drawing a diagram to represent key information in the problem. We describe the model method and a three-phase theoretical framework supporting its use. We conducted 2 studies to…

This article discusses large-scale assessment of change in student achievement and takes the study by Hickendorff, Heiser, Van Putten, and Verhelst (2009) as an example. This study compared the achievement of students in the Netherlands in 1997 and 2004 on written division problems. Based on this comparison, they claim that there is a performance…

Problematic internet use (PIU) during the college life becomes a significant public health concern with a variety of negative outcomes. The aim of the present study was to examine the incidence of generalized PIU (GPIU) and its relationship to stressful life events and coping style among Chinese college students. Six hundred and fifty-four college…

Trinity College Dublin was proud to host, in April 2016, the Second International Conference on Telecollaboration in Higher Education, with the theme "New Directions in Telecollaborative Research and Practice." Over two and a half days, 150 participants offered 95 research presentations, posters, and "problem shared" sessions.…

This study examined the association between social problem solving, conduct problems (CP), and callous-unemotional (CU) traits in elementary age children. Participants were 53 children (40 boys and 13 girls) aged 7-12 years. Social problem solving was evaluated using the Social Problem Solving Test-Revised, which requires children to produce…

An attempt to model the physical process of annealing lead to the development of a type of combinatorial optimization algorithm that takes on the problem of getting trapped in a local minimum. The author presents a Microsoft Excel spreadsheet that illustrates how this works.

This article presents some identities on the sum of the entries in the first half of a row in Pascal's triangle. The results were discovered while the author was working on a problem involving Laplace transforms, which are used in proving of the identities.

This article considers an old version of the classical pursuit problem as posed by Francis Godwin in 1599, who imagines a wedge of swans flying from the earth to the moon in twelve days, always flying at constant speed toward the moon. The return trip, during which the swans always fly toward the earth at the same speed, takes eight days. A little…

Abstract. The conditions under which one can gain mechanical advantage by pulling with a force F perpendicular to a cable (or rope) that is fixed at both ends are examined. While this is a commonly discussed example in introductory physics classes, its solution in terms of fundamental properties of the cable requires one to model the elasticity of…

Background: Before the 1970s, research into the development of clinical competence was mainly focused on general problem-solving abilities. The scope of research changed when Elstein and colleagues discovered that individual ability to solve clinical problems varies considerably across cases. It was concluded that problem solving abilities are…

This text has been centered on two main ideas: the specifications of a good problem to be introduced in a classroom; and according to Freudethal's view, the importance of teaching the students how to apply mathematics in their own real life problems. Putting these two ideas together, we may conclude that historical real world problems fit the…

New methodologies for determining the pressure inside an unopened carbonated beverage are presented. Such investigations also help the students to think deeply about a subject, giving them better understanding.