Background: Providing students with worked out problem solutions is a beneficial instructional technique in STEM disciplines, and studying examples that have been worked out incorrectly may be especially helpful for reducing misconceptions in students with low prior content knowledge. However, past results are inconclusive and the effects of…

Prior research highlights a positive effect of incorrect worked examples on mathematics learning. Yet the mechanisms underlying these benefits are unclear. To investigate potential mechanisms of the benefits of various worked example types, we examined process data from a previously published classroom-based experiment. More specifically, we…

The national 'Competence for Quality' in-service programme in Norway aims to enhance the subject knowledge and instructional competences of primary and secondary school teachers across subjects. The programme is evaluated annually through a teacher survey which, however, does not capture in depth how the programme impacts on participants. This…

Thinking is a tool to construct knowledge in learning mathematics. However, some college students have not been fully aware of the importance of constructing their knowledge. Therefore, this study aims to explore students' thinking processes in completing mathematical proofs through assimilation and accommodation schemes. This research was…

Conceptual understanding is one of the main concerns of mathematics education. Numerous research have discussed student understanding of algebraic concepts, linear equations in particular. This research was drawn upon in order to develop a new approach for teaching and learning linear equations based on the equivalence concept, one that aims to…

In this work, we examined mathematical knowledge mobilised by mathematics teachers while interpreting students' answers, which we denote as Interpretative Knowledge (IK). In particular, we analysed the IK of prospective mathematics teachers (PTs), who were students of a Mathematics Education course for the Master's Degree in Mathematics. In order…

Plant nutrition is a complex subject at any educational level therefore, identification of student's ideas regarding this scientific concept is important in order to define the best instructional learning method. In this study, we conduct a cross-age comparison of the conceptual understanding of compulsory students and prospective elementary…

This study mainly explored the use of Discourse Markers (DMs) in journalistic writings and the factors that prompted the BSED English students of CVSC Maragusan to commit errors. This study employed the qualitative research. Ten (10) informants were part of the writing assessment and phone interview and were chosen through purposive sampling. For…

Researchers and instructors have only recently embraced the role of errors as vehicles for learning in the algebra classroom. Studying a mixture of correct and incorrect worked examples has been shown to be beneficial relative to correct worked examples alone. This study examines the effectiveness of having students generate, or anticipate, errors…

Background: Poor mathematics performance in South Africa is well known. The COVID-19 pandemic was expected to exacerbate the situation. Aim: To investigate Grade 7 learners' mathematical knowledge at the end of primary school and to compare mathematical performance of Grade 7 and 8 learners in the context of the pandemic. Setting: Data were…

This pilot study explores the effectiveness of a strategy for overcoming post-primary students' misconceptions within the topic of algebra. Although central to the study of mathematics, algebra can be an area of difficulty for many students. A misconception is typically classified as flawed understanding of a concept causing repeated errors, and…

KIBO is a developmentally appropriate robotics kit for young children that is programmed using interlocking wooden blocks; no screens or keyboards are required. This study describes a pilot KIBO robotics curriculum at an urban public preschool in Rhode Island and presents data collected on children's knowledge of foundational programming concepts…

"Human factors" is an influential rationale in the UK national health service to understand mistakes, risk and safety. Although there have been studies examining its implications in workplaces, there has been little investigation of how it is taught, as a form of professional morality. This article draws on an observational study of…

Central in the frameworks proposed to capture the knowledge needed for teaching mathematics is the assumption that teachers need more than pure subject-matter knowledge. Validation studies exploring this assumption by recruiting contrasting populations are relatively scarce. Drawing on a sample of 644 Greek-Cypriots preservice and inservice…

This paper reports on one aspect of a wider study that investigated a selection of final year pre-service primary teachers' responses to four probability tasks. The tasks focused on foundational ideas of probability including sample space, independence, variation and expectation. Responses suggested that strongly held intuitions appeared to…