The study outlines the early-stage development of a free-response General Relativity Concept Inventory (GRCI), an educational instrument designed to test for conceptual understanding of General Relativity. Data were collected for the study by having 26 participants from General Relativity courses work through the questions on the GRCI. Interviews…

How to influence and assess whether students engage in conceptual thinking are longstanding methodological problems in mathematics education. Recently, eye-tracking technology has fueled a discussion on whether eye movement analysis can support valid inferences about mathematical thinking. This study investigates whether eye movement analysis can…

We offer a new angle to explain the comprehension of mathematical infinity. We use Action-Process-Object-Schema (APOS) theory to explore the construction of different aspects of the cognitive Object related to this notion. We focus our attention on different ways of interacting with infinity, and how to act on infinite entities. Our aim is to shed…

Background and Context: Multiple studies report that experienced instructors lack consensus on the difficulty of programming tasks for novices. However, adequately gauging task difficulty is needed for alignment: to select and structure tasks in order to assess what students can and cannot do. Objective: The aim of this study was to examine…

This dissertation reports on three studies about students' conceptions and learning of the idea of instantaneous rate of change. The first study investigated 25 students' conceptions of the idea of instantaneous rate of change. The second study proposes a hypothetical learning trajectory, based on the literature and results from the first study,…

The teaching and learning of statistical thinking begins at a young age in Australia, with a focus on data representation and interpretation from Foundation Year (age 5), and the collection, sorting and categorising of items from the natural environment starting even earlier. The intangible concept of "data," as part of statistical…

Some descriptions of learning represent the process as the development of organisations of elements. Various organisations have been proposed, for example, schemata and conceptual structures. Such representations assume that mental entities, such as concepts, are sufficiently stable and differentiated to be treated as units. We discuss these…

Spatial understanding of complex anatomical concepts is often a challenge for learners, as well as for educators. It is even more challenging for students with low mental spatial abilities. There are many options to teach spatial relationships, ranging from simple models to high-end three-dimensional (3D) virtual reality tools. Using a randomized…

As educators, we often seek to engage students' prior knowledge to help them learn new and potentially difficult science content. However, sometimes our experiences with the world lead us to create misconceptions that run counter to the scientific consensus. Refutational texts have been shown to be more effective at changing individuals'…

Research on students' thinking about the particulate nature of matter has shown that students find it difficult to connect the macroscopic with the sub microscopic world. Although they have heard about atoms, students stay within a continuous model of matter or attribute macroscopic properties to particles. The research presented focuses on the…

This article examines kindergarten children's experience of the COVID-19 pandemic. It aims to understand the children's thoughts, emotions, and coping strategies regarding the presence of the COVID-19 virus in their daily lives, using the salutogenic approach to study their sense of coherence and promote relevant professional instruction.…

The purpose of this study is to examine how students may hold coexisting and competing conceptual ideas and how students' uses of such ideas may evolve during the process of conceptual change by combining two complementary methods including model analysis and the conceptual framework model of knowledge integration. Conceptual change is fundamental…

This quasi-experimental study aims to compare the effects of using combinations of written text, animation and narration in multimedia courseware. 114 sixth grade students assigned in three conditions were participated in the study. Three versions of the courseware with combinations of animation, text and narration were developed taking modality…

Structural reasoning is a combined ability to "look for structures, recognize structures, probe into structures, act upon structures, reason in terms of general structures, and see how a piece of knowledge acquired resolves a perturbation experienced" (Harel and Soto, 2017). The purpose of this study was to explore the cognitive…

This article presents a networking of two theories, the Extended Theory of Mathematical Connections (ETC) and the Onto-semiotic Approach (OSA). In particular, concordances and complementarities are identified in the respective conceptions of mathematical connections, as a result of applying these theoretical frameworks to a student's response…