In this paper two studies are reported in which two contrasting claims concerning the intuitiveness of the law of large numbers are investigated. While Sedlmeier and Gigerenzer ("J Behav Decis Mak" 10:33-51, 1997) claim that people have an intuition that conforms to the law of large numbers, but that they can only employ this intuition…

"Desirable difficulties" is a theory from cognitive science used to promote learning in a variety of contexts. The basic premise is that creating a cognitively challenging environment at the learning acquisition phase, by actively engaging learners in the retrieval of to-be-learned materials, promotes long-term retention. In this study,…

Rasch mixture models can be a useful tool when checking the assumption of measurement invariance for a single Rasch model. They provide advantages compared to manifest differential item functioning (DIF) tests when the DIF groups are only weakly correlated with the manifest covariates available. Unlike in single Rasch models, estimation of Rasch…

An equating procedure for a testing program with evolving distribution of examinee profiles is developed. No anchor is available because the original scoring scheme was based on expert judgment of the item difficulties. Pairs of examinees from two administrations are formed by matching on coarsened propensity scores derived from a set of…

"List composition effects" refer to the findings in which a given memory phenomenon shows discrepant patterns across different list designs (i.e., mixed or pure lists). These effects have typically been reported with verbal materials (e.g., word lists, paired associates, sentences); much less research has examined whether these effects…

The interpretation and implementation of ideas about the internationalisation of curricula (IoC) are complicated and multi-faceted. The complex and diverse perspectives on IoC reflect two concepts: "internationalisation" and "curriculum". These concepts embody contrasting perspectives on issues, including the competition-type…

Many countries, including the United States, emphasize the importance of developing students' scientific habits of mind and their capacity to think deeply about scientific ideas in an integrated fashion. Recent science education policies in the United States portray a related vision of science teaching and learning that is meant to guide the…

Over the last two decades, the education system has witnessed a shift from summative, product-oriented assessment towards formative, process-oriented assessment. Among the different learning and assessment initiatives introduced in the slipstream of this paradigmatic turn, the portfolio seems to have become one of the most popular. By redescribing…

In recent years computer algebra systems (CAS) have become an integrated part of the upper secondary school mathematics program. Despite the many positive possibilities of CAS, there also seems to be a flip side of the coin in relation to actual difficulties in learning mathematics, not least because a strong dependence on CAS for mathematical…

Eye-movement tracking and student-system interaction logs provide different types of information which can be used as a potential source of real-time adaptation in learning environments. By analysing student interactions with an intelligent tutoring system (ITS), we can identify sub-optimal behaviour such as not paying attention to important…

This paper explores the construct of curricular noticing, defined as the act of teachers making sense of the complexity of content and pedagogical opportunities in written or digital curricular materials (Dietiker, Amador, Earnest, Males, & Stohlmann, 2014), and reports the results of four exploratory studies aimed to examine the Curricular…

Purpose: A growing body of research has focused on the topic of inclusive education for ethnic minorities in Hong Kong. At the same time, few scholars have explored the role technology can play in enhancing inclusivity within the context of quality education. This study examines how the differentiated use of technology that takes into account…

Compulsory second foreign language phenomenon has emerged in Turkey in the near term. German was made compulsory as the second foreign language in Anatolian high schools in the academic year 2012-2013. As with the first foreign language teaching, there are also problems with the second foreign language teaching. The revealing of the problems in…

Teachers and school leaders frequently make decisions about which strategies will best support students who struggle academically or behaviorally, but evidence-based information about the quality of these strategies is not always available. Resources as the What Works Clearinghouse and the Regional Education Laboratories can help educators…

Organization for Economic Co-operation and Development (OECD) (2016) released the results of Programme for International Student Assessment (PISA) 2015 and reported that the students' performance in mathematics of Singapore and Indonesia had significant differences. There is a strong relationship between textbooks used and mathematics performance…