Quantum mechanics (QM) has become part of many secondary school curricula. These curricula often do not include the mathematical tools for a formal, mathematical introduction of QM. QM therefore needs to be taught at a more conceptual level, but making secondary school students understand counterintuitive QM concepts without introducing…

Mathematics is of major importance in science subjects. Unfortunately, students struggle with applying mathematics in science subjects, especially physics. In this qualitative study we demonstrate that transfer of algebraic skills from mathematics in physics class can be improved by using pre-knowledge effectively. We designed shift-problems…

Many large-scale, school-based interventions have attempted to improve academic performance through promoting students' growth mindset, defined as the belief that one's intellectual ability can increase with practice and time. However, most have shown weak to no effects. Thus, it is important to examine how growth mindset might affect retention…

Inquiry-based learning (IBL) is a more student-centered approach to mathematics teaching that is recommended by many policy and curriculum documents across Europe. However, it is not easy for teachers to change from a more teacher-centered way of teaching to inquiry-based teaching as this involves a change of their role in class. Professional…

Many recent studies have stressed the importance of teacher candidates' (TCs) self-regulated learning (SRL) skills for successful learning. Because of the promising consequences of SRL for academic performance, teacher educators (TEs) are encouraged to increase TCs' SRL opportunities in educational programs. Because of the difficulty and…

Despite pressing concerns about the need to prepare high-quality teachers and the central role of teacher educators (TEs) in this process, little is known about how TEs teach about teaching specific subject matter, and how they develop their expertise. This empirical study focuses on the specific expertise that science TEs bring into teacher…

Contrary to classical problem-based learning, in guided problem-based learning, the learning goals are predetermined by the instructor--on the basis of a detailed decomposition of the subject matter to be studied--to activate prior knowledge and to structure self-study and subsequent group discussion. This study investigated the effects of…

Research has shown that for acquiring problem-solving skills, instruction consisting of studying worked examples is more effective and efficient for novice learners than instruction consisting of problem-solving. This study investigated whether worked examples would also be a useful instructional format for the acquisition of visual perceptual…

Central in this study is the degree to which the pedagogical-didactical approach in undergraduate programmes aligns with the pedagogical-didactical approach in secondary schools, and how this is related to first-year achievement. Approaches to teaching at secondary schools and in first-year university programmes were examined by interviewing…

The theme of this special issue is timely as the world becomes increasingly flat and globally connected (Friedman, 2007). By focusing on an international perspective in problem-based learning (PBL), it puts culture squarely in the center, whether it is a national or disciplinary culture. The articles in this special issue represent Thailand, South…

In line with the cognitive theory of multimedia learning by Moreno and Mayer (2007), an interactive, multimodal learning environment was designed for the pretraining of science concepts in the joint area of physics, chemistry, biology, applied mathematics, and computer sciences. In the experimental set up, a pretest was embedded in order to…

In general terms automaticity could be defined as the subconscious condition wherein "we perform a complex series of tasks very quickly and efficiently, without having to think about the various components and subcomponents of action involved" (DeKeyser 2001: 125). For language learning, Segalowitz (2003) characterised automaticity as a…

Students' strategies for solving long division problems under a realistic mathematics approach (RME) at Dutch primary schools were categorized in two ways: (a) according to the level of how students created multiples of the divisor (chunking) to be subtracted from the dividend; and (b) according to their use, or nonuse, of schematic notation.…

An experimental lesson is described in which student teachers verbalized preconceptions about a natural object (mushrooms) and completed personal response activities about a poem entitled "Mushrooms." The approach stimulated enhanced awareness of mushrooms and more questions about growth and reproduction. Possible applications in…

This paper examines research on students' learning in small tutorial groups, highlighting: (1) cognitive processes elicited by small group discussion and their effects on achievement; and (2) the influence of tutors on student learning. The studies examined problem based learning (PBL) in small groups in high schools and universities. Researchers…