This study investigates the challenges faced by second-year undergraduate engineering students in understanding Stokes' theorem in vector calculus, focusing on the misconceptions found in interconnected concepts that form its foundation. Stokes' theorem involves the application of line integrals, surface integrals, the curl of a vector field, and…

The paper deals with the issue of critical areas in the philosophy as part of the subject Basics of Social Sciences in the Czech Republic from the perspective of teachers. The critical areas are components of the curriculum that are difficult, challenging and problematic for educational practice. They can be on the side of both teachers and…

The study set out to explore different mathematical difficulties among 877 second-grade children and to test the effect of memorization versus conceptual practices with number combinations. It used a latent profile analysis of baseline measurements of digit writing speed, number combination fluency, multidigit calculation, and number sense skills…

Studies on reasons accounting for the difficulties in learning public administration is relatively new in the public administration literature though many findings exist regarding students' difficulties in the study of different subject areas. This paper examines whether the perceived reasons in other subjects are real in the study of public…

This qualitative study aims to investigate novice undergraduate mathematics students' first encounter with the First Isomorphism Theorem, which is, more often than not, the pinnacle of a typical introductory course in Group Theory. Several studies have reported on the challenges that this mathematical result poses to inexperienced mathematicians,…

In Ireland, Initial Teacher Education [ITE] standards require all teachers to possess an adequate level of numeracy themselves in order to teach for numeracy learning across the school curriculum. This paper reports on a study that investigated 204 pre-service post-primary teachers' numeracy capabilities. Analysis of questionnaire data from…

Although there has been extensive research on students' understanding of the particulate nature of matter (PNM), there is still a lack of research on contexts that can be used to teach this challenging topic. In a previous design-based research study, the authors developed a teaching-learning sequence (TLS) on the PNM in the context of crystal…

Circle and disc are fundamental concepts introduced in middle school, forming the basis for many other mathematical ideas. Students often face challenges in comprehending circles, discs, and their basic elements. This research examines the processes of sixth-grade students in constructing circles, discs, and their essential components within a…

Australia-wide consensus was reached on seven core concepts of physiology. The "movement of substances" core concept with the descriptor "the movement of substances (ions or molecules) is a fundamental process that occurs at all levels of organization in the organism" was unpacked by a team of three Australian physiology…

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'…

Most chemistry students struggle with interpreting and understanding NMR (nuclear magnetic resonance) spectra and the general concepts of NMR spectroscopy. NMR spectroscopy seems to be difficult to both teach and learn. Therefore, the corresponding courses should be investigated in more detail. We conducted a survey with N = 39 German university…

An Australia-wide consensus was reached on seven core concepts of physiology, one of which was cell-cell communication. Three physiology educators from a "core concepts" Delphi task force "unpacked" this core concept into seven different themes and 60 subthemes. Cell-cell communication, previously unpacked and validated, was…

A wide array of conceptual change strategies attempted to address students' persistent alternative conceptions, yet there remained ubiquitous struggles of teachers teaching abstract and highly contentious science concepts. This study investigated the effectiveness of the novel Conceptual Change Framework of Instruction (CCFI) in teaching eclipses…

A task force of physiology educators from 25 Australian universities generated an Australia-wide consensus on seven core concepts for physiology curricula. One adopted core concept was "cell membrane," defined as "Cell membranes determine what substances enter or leave the cell and its organelles. They are essential for cell…

This article reports on the development and piloting of a German version of a concept test to assess students' conceptual knowledge of density. The concept test was administered in paper-pencil format to 222 German secondary school students as a post-test after instruction in all relevant concepts of density. We provide a psychometric…