In this article, Scott Smith presents an innocent problem (Problem 12 of the May 2001 Calendar from "Mathematics Teacher" ("MT" May 2001, vol. 94, no. 5, p. 384) that was transformed by several timely "what if?" questions into a rewarding investigation of some interesting mathematics. These investigations led to two…

The article reacts on the current needs based not only in the educational practice and pedagogical theory, but also in the requirements of the society. These requirements focus on the pupils' competences that have to be able to think rationally, to deal with the new situations, and to solve problem situations. Conceptually, this paper concentrates…

This study examined pre-service primary school teachers' performance in posing problems that require knowledge of problem-solving strategies. Quantitative and qualitative methods were combined. The 120 participants were asked to pose a problem that could be solved by using the find-a-pattern a particular problem-solving strategy. After that,…

Background: Recent research suggests that around 16% to 18% of children with Down syndrome (DS) also meet diagnostic criteria for autism spectrum disorder (ASD). However, there are indications that profiles of autism symptoms in this group may vary from those typically described in children with ASD. Method: Rates of autism symptoms and emotional…

Because of these learners' potential as future leaders, it is imperative that educators develop gifted students' ability to identify and solve complex social justice problems. Nourishing students' affective traits, including empathy for others, understanding of themselves, and the ability to connect to others in local and global society, will help…

Taking into account the Science, Technology, Engineering, Mathematics (STEM) integration, it is important to investigate teachers' understandings, perceptions about STEM and how STEM practices should be incorporated into the classroom in order to explore the perceptions of science teachers on this subject and provide important information to…

We argue that the dominance of an empiricist epistemology in social work research steers much of the research away from studying and explaining the structural forces that cause the conditions of oppression, exploitation, and social exclusion that are at the roots of the social problems addressed by the profession. It does so because it assumes…

Purpose: The aim of this study was to determine whether children with language impairment (LI) use gesture to compensate for their language difficulties. Method: The present study investigated gesture accuracy and frequency in children with LI (n = 21) across gesture imitation, gesture elicitation, spontaneous narrative, and interactive…

Impact of science is one of the most important topics in scientometrics. Recent developments show a fundamental change in impact measurements from impact on science to impact on society. Since impact measurement is currently in a state of far reaching changes, this paper describes recent developments and facing problems in this area. For that, the…

This paper explores the emergence of joint problem solving in online environments where the participants work together but at different times and from different places. Collaborations of this sort have been referred to as loosely coupled collaborations. The focus is on "venue" which is the virtual substitute for physical copresence under…

Understanding the solution of a problem may require the reader to have background knowledge on the subject. For instance, finding an integer which, when divided by a nonzero integer leaves a remainder; but when divided by another nonzero integer may leave a different remainder. To find a smallest positive integer or a set of integers following the…

Drawing comparisons between students' alternative solution strategies to a single mathematics problem is a powerful yet challenging instructional practice. We examined 80 preservice teachers' when asked to design a short lesson when given a problem and two student solutions--one correct and one incorrect. These micro-teaching events were…

Critics of null hypothesis significance testing suggest that (a) its basic logic is invalid and (b) it addresses a question that is of no interest. In contrast to (a), I argue that the underlying logic of hypothesis testing is actually extremely straightforward and compelling. To substantiate that, I present examples showing that hypothesis…

As a self described lesson collector, author Charles Lovett enjoys gathering "interesting" lessons and teasing them apart to find out what makes them "tick", particularly the pedagogy. He often wonders what decisions the teacher made that generated such an interesting and successful learning environment. Here he describes a…

In a pioneering research article, Wollack and colleagues suggested the "erasure detection index" (EDI) to detect test tampering. The EDI can be used with or without a continuity correction and is assumed to follow the standard normal distribution under the null hypothesis of no test tampering. When used without a continuity correction,…