The ability to predict macroscopic properties using a compound's chemical structure is an essential idea for chemistry as well as other disciplines such as biology. In this study we investigate how different levels of interventions impact the components of students' explanations (claims, evidence, and reasoning) of structure-property…

Continuing our critique of the classical derivation of the formula for the area of a disk, we focus on the limiting processes in geometry. Evidence suggests that intuitive approaches in arguing about infinity, when geometric configurations are involved, are inadequate, and could easily lead to erroneous conclusions. We expose weaknesses and…

The Department of Mathematics and Computer Science at Adelphi University engaged in a year-long program revision of its mathematics major, which was initiated by a longitudinal study and the publication of the 2015 Curriculum Guide by the MAA's Committee on Undergraduate Programs in Mathematics. This paper stands as a short story, so to speak, of…

Previous research on open-mindedness, whether by critical thinking researchers, philosophers of education, or intellectual virtue theorists, has not sufficiently addressed the challenge posed by cognitive bias, particularly motivated reasoning. How can students develop their open-mindedness when they are often motivated to preserve their prior…

Research has shown the majority of students who have completed a university calculus course reason about the definite integral primarily in terms of prototypical imagery or in purely algorithmic and non-quantitative ways. This dissertation draws on the framework of Emergent Quantitative Models to identify how calculus students might develop a…

One of the aspects of programming that novices often struggle with is the understanding of abstract concepts, such as variables, loops, expressions, and especially Boolean operations. This paper aims to explore the effects of programming tools with different degrees of embodiment on learning Boolean operations in elementary school. To this end, 67…

Background: Here, I examine the status of 'learning disability' as a basic concept. This kind of questioning may be thought a task for philosophy, or at least for 'theory' or 'disability studies'. Materials and methods: I identify history instead as a discipline well placed to reveal the category errors that surround the concept. Results: These…

Visualisation has been a critical means of scientific reasoning, knowledge development, and communication. In science classrooms, visualisation plays significant roles for teaching and learning. To better understand the landscape of the existing research on visualisation for supporting student science learning in K to 12 classroom contexts, we…

Around 6% of U.K. children are underachieving at school relative to their potential (URP). We explored whether difficulties with phonological decoding, short-term memory (STM), and complex grammar may be responsible. We compared school-based reading test data or formal SATs, and verbal reasoning in 2462 children (150 URP and 2312 non-URP children)…

Analytical questions are the types of questions that can lead students to gain an understanding of a concept and explore reasoning. This research is a descriptive, qualitative study investigating the emergence of analytical questions and their interaction patterns in group discussions facilitated by a scientific approach to learning. The subjects…

This qualitative study focuses on Grade 6 students' possibilities to engage in disciplinary writing practices in history teaching in a school located in a socially disadvantaged and linguistically diverse area. The aim is to contribute knowledge about how students negotiate different literacy expectations in the teaching. The researcher used…

Kant's commitment to autonomy raises difficult questions about the very possibility of Kantian moral education, since appeal to external pedagogical guidance threatens to be in contradiction with autonomous virtue. Furthermore, moral education seems to involve getting good at something through repetition; but Kant seems to eschew the notion of…

The aims of this article are to document the types of signs that young children make to represent their mathematical thinking, and to determine the extent to which features of usage-based language acquisition are evident in children's early graphical communications made in mathematical contexts. Studies of young children's symbolic principles in…

Describing the processes of metaphor comprehension has been a hot topic of discussion among researchers throughout the past four decades. One of the major challenges has been to find a mechanism that can describe the processes involved in the comprehension of various kinds of metaphors. This article suggests that different types of metaphors could…

Individuals draw conclusions about possibilities from assertions that make no explicit reference to them. The model theory postulates that assertions such as disjunctions refer to possibilities. Hence, a disjunction of the sort, "A or B or both," where "A" and "B" are sensible clauses, yields mental models of an…