Using a mixed methods approach, we explore a relationship between students' graph reasoning and graph selection via a fully online assessment. Our population includes 673 students enrolled in college algebra, an introductory undergraduate mathematics course, across four U.S. postsecondary institutions. The assessment is accessible on computers,…

Students' evidence-based reasoning was examined across two studies. In Study 1, students were asked to evaluate newspaper excerpts including anecdotal, descriptive, correlational, and causal evidence provided in support of causal claims as well as to justify their quality ratings for two of these excerpts. In Study 2, students' justifications for…

Solving organic chemistry reactions requires reasoning with multiple concepts and data (i.e., multivariate reasoning). However, studies have reported that organic chemistry students typically demonstrate univariate reasoning. Case comparisons, where students compare two or more tasks, have been reported to support students' multivariate reasoning.…

This study aims at elaborating a well-established theoretical framework that distinguishes three modes of thinking in linear algebra: the analytic-arithmetic, the synthetic-geometric, and the analytic-structural mode. It describes and analyzes the bundle of signs produced by an engineering student during an interview, where she was asked to recall…

Critical thinking is embedded in national university graduate outcomes and included in international bodies' statements on higher education. At the same time, there are tensions surrounding critical thinking in higher education, such as its commodification, Eurocentrism, and relationship to rapidly digitalising cultures. Drawing from the…

This article draws on the philosophical work on dialogic rationality offered by Charles Taylor as well as qualitative studies of dialogues between politically opposed college students to argue that these conversations succeed as tools of democracy precisely because they fail as interventions. That is, the democratic strength of such dialogue is…

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…

The purpose of this proposed quantitative, ex post facto, comparative study with a pretest-posttest design was to assess gains in overall Critical Thinking (CT) skills, and particularly in the Hypothetical-deductive Reasoning (HDR) skills, for pre-health college students tested before and after a Critical Analyses in Science course they attended…

This article reports on a qualitative investigation into students' thinking about a differential equations problem posing task; i.e. an initial value problem. Analysis of written and verbal responses to the task indicate that only four of the 34 students who participated in the study were successful in posing problems. Furthermore, only one of the…

Education researchers are deeply interested in understanding the way students organize their knowledge. Card sort tasks, which require students to group concepts, are one mechanism to infer a student's organizational strategy. However, the limited resolution of card sort tasks means they necessarily miss some of the nuance in a student's strategy.…

Mechanical reasoning is crucial for many engineering fields, yet undergraduate engineering students struggle to understand discipline-specific formalisms from their courses that model mechanical concepts. The current investigation observed undergraduate engineering students' speech during mechanical reasoning and the benefits of attending to…

The starting reasoning and promoting switch from intuitive system 1 to deliberate system 2 for provoking creative thinking is lacking feasible model, especially during the global pandemic. We established a visible, trainable and learnable (VTL) model with digital technique to promote this dual switch for creative thinking. This study was…

Research in engineering ethics has assessed the ethical reasoning of students mostly in the US. However, it is not clear that ethical judgements are primarily the result of reasoning or that conclusions based on US samples would be true of global populations. China now graduates and employs more STEM majors than any other country, but the moral…

Literature on student ideas about circuits largely focuses on misunderstandings and difficulties, with seminal papers framing student thinking as stable, difficult to change, and connected to incorrect ontological categorizations of current as a thing rather than a process. In this paper, we analyzed 417 student responses to a conceptual question…

The literature on scientific modelling practices in science education has provided a fruitful discussion on how learners tend to view models vs. how and what they should think about them. One approach is to teach students that models are abstractions so that they do not view them as a copy of phenomena they represent. Although teaching students…