The implementation of teacher-independent realistic modelling processes is an ambitious educational activity with many unsolved problems so far. Amongst others, there hardly exists any empirical knowledge about efficient ways of possible teacher support with students' activities, which should be mainly independent from the teacher. The research…

This article discusses assessments that can be used to help encourage a collaborative classroom community, in which students help one another learn mathematics. The authors describe participation quizzes and explanation quizzes as assessment tools that encourage students to work together, share specific questions on challenging mathematics…

In an effort to support a solid grounding in educational theory within the field of museum education, three texts considered essential reading for museum educators were surveyed for correlations with Merrill's First Principles of Instruction, an influential work in the field of instructional design. Each of five First Principles were found to be…

Though trauma survivors sometimes emerge as leaders in prosocial causes related to their previous negative or traumatic experiences, little is known about this transition, and limited guidance is available for survivors who hope to make prosocial contributions. To understand what enables trauma-inspired prosocial leadership development, the…

Within the framework of the Testing Algorithmic and Application Skills project we tested first year students of Informatics at the beginning of their tertiary education. We were focusing on the students' level of understanding in different programming environments. In the present paper we provide the results from the University of Debrecen, the…

Considerable effort has been invested in innovative learning practices such as collaborative inquiry. Collaborative problem solving is becoming popular in school settings, but there is limited knowledge on how to develop skills crucial in collaborative problem solving in students. Based on the intervention design in social interaction of…

One method of proof is to provide a logical argument that demonstrates the existence of a mathematical object (e.g., a number) that can be used to prove or disprove a conjecture or statement. Some such proofs result in the actual identification of such an object, whereas others just demonstrate that such an object exists. These types of proofs are…

The goal of this paper is to examine single variable real inequalities that arise as tutorial problems and to examine the extent to which current computer algebra systems (CAS) can (1) automatically solve such problems and (2) determine whether students' own answers to such problems are correct. We review how inequalities arise in contemporary…

Statistical tasks that can be solved in a variety of ways provide rich sites for classroom discourse. Orchestrating such discourse requires careful planning and execution. Five specific practices can help teachers do so. The five practices can be used to structure conversations so that coherent classroom narratives about solutions to tasks may be…

The purpose of the present study was to examine direct and indirect relationships among personality, selfesteem and social problem-solving, as well as the mediating role of self-esteem in the link between personality and social problem-solving among Turkish youth. The study utilized a cross-sectional design comprising several self-reports. Data…

The compound microscope is an important tool in biology, and mastering it requires repetition. Unfortunately, introductory activities for students can be formulaic, and consequently, students are often unengaged and fail to develop the required experience to become proficient in microscopy. To engage students, increase repetition, and develop…

Finding and designing tasks that allow for students to make connections among mathematical ideas is important for mathematics educators. One such task, which affords students the opportunity to make connections and engage with significant mathematical ideas through a variety of problem-solving approaches, is described in this article. Three…

We used event-related potentials (ERPs) to determine the time course of mechanisms underlying strategy selection. Participants had to select the better strategy on multiplication problems (i.e., 51 × 27) to find approximate products. They could choose between rounding up and rounding down both operands to their nearest decades. Two types of…

Gesturally controlled information and communication technologies, such as tablet devices, are becoming increasingly popular tools for teaching and learning. Based on the theoretical frameworks of cognitive load and embodied cognition, this study investigated the impact of explicit instructions to trace out elements of tablet-based worked examples…

In this article, the authors discuss a special type of multiplication-and-division-of-fractions problem that elementary school teachers can use to promote children's understanding of fractional quantities and their relationships. These problems are accessible to students working at different levels of fraction understanding, and they can be solved…