Research has shown that affordances of computers may be exploited in the design of mathematical tasks so as to provide interesting and challenging activities. At the same time, opportunities for learning mathematics may be constrained if the design of the task is not appropriate. A tool which allows teachers, researchers and task designers to…

There has been criticism about STEM education not focusing enough on problem solving, especially in authentic real-world contexts which are most often associated to ill-structured domains. To improve education, it is essential that curricula bring students to high levels of cognitive development by exposing them to authentic problems.…

In this study, the author examined the relationship of probability misconceptions to algebra, geometry, and rational number misconceptions and investigated the potential of probability instruction as an intervention to address misconceptions in all 4 content areas. Through a review of literature, 5 fundamental concepts were identified that, if…

Results on human performance on the Traveling Salesman Problem (TSP) from different laboratories show high consistency. However, one exception is in the area of individual differences. While one research group has consistently failed to find systematic individual differences across instances of TSPs (Chronicle, MacGregor and Ormerod), another…

This article presents and discusses some theoretical starting points and design considerations for addressing emotional and aesthetic aspects of virtual learning environments (VLEs) for support of ubiquitous teaching, studying and learning. In this article, we note that a VLE should be viewed upon as an interactive and sensations arousing…

Information about how school principals operate pertains mainly to the actions of principals. However, the kinds of knowledge that the principalship demands have not been isolated as clearly, more often than not being conflated with actions. As principals' duties become more complex, it becomes more important to ground specific practices in robust…

The 13th iteration of the International Conference on Educational Data Mining (EDM 2020) was originally arranged to take place in Ifrane, Morocco. Due to the SARS-CoV-2 (coronavirus) epidemic, EDM 2020, as well as most other academic conferences in 2020, had to be changed to a purely online format. To facilitate efficient transmission of…

These proceedings contain the papers of the 16th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2019), held during November 7-9, 2019, which has been organized by the International Association for Development of the Information Society (IADIS) and co-organised by University Degli Studi di Cagliari, Italy.…

In the volatile, global environment of the 21st century, being able to communicate successfully is the key to employment, to citizenship, and to a quality life. The Partnership for 21st Century Skills--a coalition of American businesses with an international focus, funded in part by the U.S. Department of Education--recently released "A…

Empirical studies within a cognitive load framework have determined that for novice learners, worked examples provide appropriate levels of instructional guidance. As learners advance in specific subject domains, worked examples should be gradually replaced by practice problems with limited guidance. This study compared performance, both…

Collaborative learning assumes that knowledge is constructed through negotiation and discussion. This exploratory study focuses on 2 groups of 3 pre-service primary teachers solving 2 mathematical tasks in a text-based and asynchronous WorkMates learning environment. This case study describes the group processes, and the different patterns of…

We explored the affective states that students experienced during effortful problem solving activities. We conducted a study where 41 students solved difficult analytical reasoning problems from the Law School Admission Test. Students viewed videos of their faces and screen captures and judged their emotions from a set of 14 states (basic…

Nowadays we need to teach students how to become flexible problem solvers in a dynamic world. The pace in which technology changes and complexity increases requires increased efficiency in learning and understanding. This requires the engineers of tomorrow to quickly gain knowledge and insight outside their prime area of expertise. To transfer…

Against the background of an adaptation of Cognitive Load Theory to learner-controlled settings we investigated the impact of learner characteristics on information utilization strategies, cognitive load, and learning outcomes in a hypermedia environment. Based on the data of 79 students, five clusters of students were identified according to…

The present paper examines the difficulties Greek senior high school students identify in learning Statistics and how these difficulties are related to the course's level of difficulty. Also it examines the difficulties students identify that teachers face while teaching Statistics, their suggestions for changes and how these difficulties and…