These classroom notes are focused on undergraduate students' understanding of the polysemous symbol of superscript (-1), which can be interpreted as a reciprocal or an inverse function. Examination of 240 scripts in a mid-term test identified that some first-year students struggle with choosing the contextually correct interpretation and there are…

Six US first-year university students in humanities or social science degree programmes were interviewed while solving 4 tasks on continuity and asymptotes in a required mathematics course. The focus was on how the students referred to the definitions or to the concept images when solving the tasks and if partial understandings appeared. Partial…

The study is dedicated to the impact of the speed and the acceleration on the preservation of the information equilibrium and the ability for critical thinking in the active person. The methods about the fast reading training are subjected to a critical analysis. On the grounds of the theory for the information equilibrium and the philosophy of…

Mathematics education consists of numerous factors, and a vital factor is teachers. Therefore, well-trained teachers play a crucial role in the education system. In this context, the pedagogical content knowledge of teachers forms a vital foundation for effective mathematics teaching. The study aimed to examine the pedagogical content knowledge of…

This study aimed to investigate the cognitive structures of prospective preschool teachers and to identify their misconceptions about the concepts of circle, disk and annulus. In the study, the Word Association Test was used as the data collection instrument. The study was conducted in the fall semester of the 2014-2015 academic year with the…

This study aims to explore undergraduate mathematics students' difficulties in their initial encounter with the subgroup test, and in particular in the proof of closure under operation. Subgroup test is one of the first results in an introductory course of Group Theory where students need to cope with the characteristic, for novice students, high…

Reactions in aqueous solutions are an important part of chemistry education. As experience shows, they are particularly difficult for students to understand. Hydrolysis is one such reaction. It occurs in organic and inorganic compounds with either covalent and ionic structures, but salt hydrolysis is a special example. Salt hydrolysis is complex,…

Confusion is an important epistemic emotion because it can help students focus their attention and effort when solving complex learning tasks. However, unresolved confusion can be detrimental because it may result in students' disengagement. This is especially concerning in simulation environments using discovery-based learning, which puts more of…

Often Historically Black Colleges and Universities (HBCUs) are viewed and discussed through a deficit-laden lens. In reality, HBCUs--many of which are regional public universities (RPUs)--not only carry a lion's share of the education of Black students but also contribute greatly to the social mobility, economic impact, and increased access to…

To assess the prevalence of weight misperception in American adolescents and its association with diet and physical activity behaviors, "Youth Risk Behavior Survey" data were utilized for this study. Based on reported and perceived weight, adolescents in the study were grouped into four categories (true negative [52.4%] = normal body…

This research aimed to evaluate the students' conceptual understanding and to diagnose the students' preconceptions in elaborating the particle characteristics of matter by development of diagnostic instrument as well as Rasch model response pattern analysis approach. Data were acquired by 25 multiple-choice written test items distributed to 987…

Evaluations are practiced in political contexts, posing ethical dilemmas to evaluators. It is important, therefore, to prepare evaluation students for ethical decision-making in their future evaluative work. This study explores the use of scenario-based moral reasoning and ethical argumentation as an instructional strategy for teaching evaluation…

This study examined middle school students' knowledge and beliefs about earthquake and tsunami through a multidimensional perspective of conceptual change theory. Four related constructs of conceptual change were examined including students' science knowledge, preparedness knowledge, ontological beliefs, and epistemic beliefs. Students responded…

A qualitative pre-/post-test case study was conducted to explore the influence of inquiry-based education in eliciting learners' understanding of the particulate nature of matter in the gaseous phase. Two grade four classes (n=116) were conveniently and purposively sampled from two farm schools in Pretoria, South Africa. Data was collected through…

Conceptual change theories assume that knowledge structures grow during the learning process but also get reorganized. Yet, this reorganization process itself is hard to examine. By using concept maps, we examined the changes in students' knowledge structures and linked it to conceptual change theory. In a longitudinal study, thirty high-achieving…