This article is concerned with cognitive aspects of students' struggles in situations in which familiar concepts are reconsidered in a new mathematical domain. Examples of such cross-curricular concepts are divisibility in the domain of integers and in the domain of polynomials, multiplication in the domain of numbers and in the domain of vectors,…

This study focused on grade 12 students' understanding of reaction kinetics. A 4-tier diagnostic instrument was developed for this purpose and administered to 137 students in the main study. Findings showed that reaction kinetics is a difficult topic for these students, with a total of 25 alternative conceptions (ACs) being uncovered. Except for…

It is well documented that teachers feel unprepared to handle classroom management challenges in their classrooms. This lack of preparedness in classroom management, specifically for students with mental health concerns, is one of the leading reasons for teacher attrition. Yet, little is known about what teachers know about classroom management…

In this study, it is aimed to reveal math teachers' knowledge level and misconceptions about vectors. The study was conducted with the participation of 66 teacher candidates in different nine universities. As for data collection tool, a questionnaire of 6 open-ended questions was used, related to basic knowledge about vector magnitude, addition,…

Asking children to clarify themselves promotes their ability to uniquely identify objects in referential communication tasks. However, little is known about whether parents ask preschoolers for clarification during interactions and, if so, how. Study 1 explored how mothers clarify their preschoolers' ambiguous descriptions of the characters in…

We analyzed data from 6 focus groups held with undergraduate students at a large public Northeastern university for evidence of rape myths (RMs). Students spontaneously articulated 6 types of RMs in categories including excusing perpetrators, trivializing sexual assault incidents, and blaming victims. The findings indicate that despite continued…

Teachers and students struggle with the complexities surrounding the evolution of species and the process of natural selection. This article examines how science teacher candidates (STCs) engage in a clinical simulation that foregrounds two common challenges associated with natural selection--students' understanding of "survival of the…

All modern nation-states have periods of difficult history that teachers fail to address or address inadequately. The authors present a framework for defining difficult histories and understanding what makes them difficult. These events 1) are central to a nation's history, 2) contradict accepted histories or values, 3) connect with present…

In this paper, I consider a pervasive myth in mathematics education, that of Plato-formalism. I show that this myth is ahistorical, acultural, and harmful, both for mathematics and for society. I argue that, as teachers, we should reject the myth of Plato-formalism and instead understand mathematics as a human activity. This philosophy humanizes…

Myths about early education abound. Many beliefs people hold about early math have a grain of truth in them, but as a whole are not true--they are largely myths. But the myths persist, and many harm children. In this article, we address ubiquitous math myths that may be negatively affecting many young students. We conclude that avoiding the myths…

Everyday encounters with graphical representations include a variety of graphs that superficially appear similar due to their use of bars. This article examines students' conceptions and misconceptions regarding the interpretation of variability in histograms, bar graphs, and value bar charts. A multiple choice assessment with brief written…

Ainsworth et al.'s paper "Sources of Bias in Outcome Assessment in Randomised Controlled Trials: A Case Study" examines alternative accounts for a large difference in effect size between 2 outcomes in the same intervention evaluation. It argues that the probable explanation relates to masking: Only one outcome measure was administered by…

Memory plays a key role in learning, and it is therefore important that teachers understand its workings in order to make decisions that benefit learning. However, previous research has shown that memory is an area which is subject to misconceptions. This study used an online survey with a five-item Likert scale to determine teachers' responses to…

The purpose of this study was to explore the effect of Content Representations (CoRes) construction, and reflective peer discussions on pre-service physics teachers' pedagogical content knowledge (PCK). Participants consisted of 16 third year pre-service physics teachers; 12 females and 4 males. The results show that the majority of participants…

As the commemorations of the 100th anniversary of World War 1 draw to a close, it is timely to reflect on what we have learnt about that time in our history. This study used the "New Zealand School Journal" as a data source to investigate what school children were learning about the war at the time. In this article, we discuss the overt…