Mathematics is a core component of cognition. Unfortunately, most young children and teachers cannot access research-based early childhood mathematics resources. Building on a quarter-century of research, we are developing and evaluating an innovative, integrated, intelligent, and interactive system of technologies based on empirically validated…

This study investigates the interplay between student reasoning and instructional strategies in trigonometry education. A qualitative case study was conducted to examine how Grade 10 students employ various reasoning approaches -- deductive, inductive, abductive, analogical, and algorithmic -- when solving trigonometry problems. Each approach…

Background/purpose. This research aims to analyze the influence and test the effectiveness of using an e-module based on sustainable development goals (SDGs) with the conceptual change model-cognitive conflict approach (CCM-CCA) integrated with local wisdom on students' critical thinking skills. Materials/methods. This research employed a…

The Energy and Momentum Conceptual Survey (EMCS) is an instrument designed to assess students' understanding of key physics concepts in introductory mechanics. In this study, we applied a combination of classical test theory (CTT), item response theory (IRT), and exploratory factor analysis (EFA) to a dataset of over 10 000 students collected…

This study aims to determine pre-service teachers' conceptual understanding of black-body radiation. Designed as a qualitative study, it employed a case study design, which is one of the descriptive research methods. The study group consists of 18 pre-service physics teachers enrolled as seniors. An opinion form and a concept map were used as data…

Maritime user interfaces for ships' bridges are highly dependent on the context in which they are used, and rich maritime context is difficult to recreate in the early stages of user-centered design processes. Operations in Arctic waters where crews are faced with extreme environmental conditions, technology limitations and a lack of accurate…

The present research examined the varieties of poor metaphors to gain insight into the cognitive processes involved in generating creative ones. Drawing upon data from two published studies as well as a new sample, adults' open-ended responses to different metaphor prompts were categorized. Poor metaphors fell into two broad clusters.…

When using the Internet to learn about complex topics or issues, students often encounter information that is both complementary and conflicting. Building on prior work identifying differences in how students reason about multiple conflicting texts, we examine students' connection formation and summative conceptualization of texts systematically…

Factors and multiples are important aspects of mathematical structure that support the understanding of a range of other ideas including multiplication and division, and later on, factorization. At primary school level, it is important that factors and multiples are taught as a connected enterprise and as vital parts of the multiplicative…

As part of ongoing research on student thinking about quantum mechanical concepts and formalism, we explored how students defined and made sense of expectation values. Previous research has focused on student difficulties when defining the expectation value for a generic operator and found that students conflate other quantum mechanical ideas with…

Fractions are a very important but difficult topic in elementary and secondary mathematics curricula around the world. The difficulty in teaching and learning fractions is usually caused by their various subconstructs. To facilitate learning of fractions, a test consisting of 20 items was developed to examine 310 sixth graders' hierarchical…

The role of science teachers in the formation of students' approaches to chemistry subjects is very important. Metaphors can be used as a data collection tool to determine what meanings science teachers, who are preparing to step into the teaching profession, attribute to some concepts. It is important to know how chemistry is perceived by science…

Contemporary views on physics education in high schools promote the need for students to develop their conceptual understanding about physics phenomena. However, teaching in this way requires specialized professional knowledge and for pre-service physics teachers, such knowledge needs to be scaffolded and developed. A strategy to support this…

This study investigates how three widely used calculus textbooks realise integrals as a potential to prompt mathematical competencies, adapting the rating scheme used in Boesen et al. ("The Journal of Mathematical Behavior," 33:72-87, 2014), Pettersen and Braeken ("International Journal of Science and Mathematics Education,"…

While there has been much interest in the power of student-generated multiple representations to promote student reasoning and conceptual understanding, most studies of student explanations have been of written artefacts or only included diagrams as an adjunct to written explanations. This approach may be because teachers do not have an accessible…