In their recent article on teachers' proportional reasoning, Copur-Gencturk et al. (2022) draw attention to a type of strategy that they call "relative", lodged right between additive and multiplicative thinking. This strategy raised interest in our research team, as it aligned well and helped give stronger meaning to some strategies…

The comprehension of connectives is crucial for understanding the discourse relations that make up a text. We studied connective comprehension in English to investigate whether adult comprehenders acquire the meaning and intended use of connectives to a similar extent and how connective features and individual differences impact connective…

Embodied cognition posits that processing concepts requires sensorimotor activation. Previous research has shown that perceived power is spatially embodied along the vertical axis. However, it is unclear whether such mapping applies equally in the two languages of bilinguals. Using event-related potentials, we compared spatial embodiment…

The basis for mastering neurophysiology is understanding ion movement across cell membranes. The Electrochemical Gradients Assessment Device (EGAD) is a 17-item test assessing students' understanding of fundamental concepts of neurophysiology, e.g., electrochemical gradients and resistance, synaptic transmission, and stimulus strength. We…

Coding think-aloud transcripts is time-consuming and labor-intensive. In this study, we examined the feasibility of predicting students' reasoning activities based on their think-aloud transcripts by leveraging the affordances of text mining and machine learning techniques. We collected the think-aloud data of 34 medical students as they diagnosed…

Recent calls by legislators to exclude "divisive concepts" and histories from our curricula pose a challenge to the development of students' epistemic responsibility and agency in classrooms. In this paper, Martha Perez-Mugg examines the classroom as a space for the development of epistemic responsibility, ultimately suggesting that…

Teaching to support students' sense-making is challenging. It requires continuous, context-dependent decision-making about which student ideas to pursue, when, how, and why. This paper presents a single case study of an experienced teacher, Nadine, as an illustrative case in order to provide a rich description of this teacher's decisional…

Definitions are an integral aspect of mathematics. In particular, they form the backbone of deductive reasoning and facilitate precision in mathematical communication. However, when multiple non-equivalent definitions for the same term exist, their ability to serve these purposes can be called into question. While ambiguity can be productive, the…

In this paper Michael Vazquez and Dustin Webster consider the practice of deliberating about ethical case studies as a means to contribute to the professional development of educators. An ongoing debate is whether or not the study of ethical theory should be included in this practice. Vazquez and Webster argue that a popular strategy, known as the…

The present work refers to a study of 10-12-year-old students' ideas on the self- or hetero-luminosity of the Moon. To check the validity of students' reasoning on this question, we also examined their ideas on the lunar phases and how we see hetero-luminous objects. Students supported their ideas on the self- or hetero-luminosity of the Moon by…

Abstraction is essential to learning mathematics because the mathematical concepts obtained through abstraction will be more meaningful than directly receiving these concepts. This study aims to describe the pre-service teachers' abstraction in constructing relationships among quadrilaterals. This research method was explorative qualitative…

Although actual experiences of upward social mobility are historically low, many adolescents and adults express a "belief" in social mobility (e.g., that social status can change). Although a belief in upward mobility (e.g., that status can improve) can be helpful for economically disadvantaged adolescents and adults, a belief in upward…

The ideas of measurement and measurement comparisons (e.g., fractions, ratios, quotients) are introduced to students in elementary school. However, studies report that students of all ages have difficulty comparing two quantities in terms of their relative size. Students often understand fractions such as 3/7 as part-whole relationships or…

In order to learn more about student understanding of the structure of proofs, we generated a novel genre of tasks called "Proof Without Claim" (PWC). Our work can be viewed as an extension of Selden and Selden's (1995) construct of "proof framework"; while Selden and Selden discuss how the structure of a proof can be discerned…

An important consideration in the design and development of numeracy-focused coursework is ensuring that one meets students where they are with respect to both their mathematics background and their existing numeracy practices in relation to public issues. The latter consideration is especially important, given that students already think about…