This paper aims to shed light on an overlooked but essential aspect of informal reasoning and its radical implication to mathematics education research: Decentralising mathematics. We start to problematise that previous studies on informal reasoning implicitly overfocus on what students infer. Based on Walton's distinction between reasoning and…

Across development, young children reason about why social inequities exist. However, when left to their own devices, young children might engage in "internal thinking," reasoning that the inequity is simply a justified disparity explained by features internal to social groups (e.g., genetics, intellect, abilities, values). Internal…

The importance of introducing students to mechanistic reasoning (MR) early in their schooling is emphasised in research. The goal of this case study was to contribute with knowledge on how early primary students' (9-10 year-olds) MR in chemistry is expressed and developed in a classroom practice framed by model-based inquiry. The study focuses on…

Introduction: Psycholinguistics presents a challenge to teaching and learning because of the many abstract models in the field. Language-related games provide a vehicle for students to ground and demonstrate their understanding of these models. Statement of the problem: Models in psycholinguistics are challenging to teach and learn because they…

Backward transfer is defined as the influence that new learning has on individuals' prior ways of reasoning. In this article, we report on an exploratory study that examined the influences that quadratic functions instruction in real classrooms had on students' prior ways of reasoning about linear functions. Two algebra classes and their teachers…

In many cultural contexts, judging another as conscious or not has profound practical, legal, and philosophical consequences. However, little research focuses on how our ability to make such judgements arises. Thirty years ago a classic set of studies by Flavell et al. demonstrated that children do not develop a complex understanding of conscious…

We investigate the articulation between domain-general reasoning and interpretive processes in failures of deductive reasoning. We focus on illusory inferences from disjunction-like elements, a broad class of deductive fallacies studied in some detail over the past 15 years. These fallacies have received accounts grounded in reasoning processes,…

Since statistical inference is a probabilistic generalization about a population analyzed on the basis of a sample, inferential reasoning demands producing reasons ("statistical" and "contextual") to substantiate and validate generalizations. To convey an understanding of students' inferential reasoning, we present a…

Identifying abstract relations is essential for commonsense reasoning. Research suggests that even young children can infer relations such as "same" and "different," but often fail to apply these concepts. Might the process of explaining facilitate the recognition and application of relational concepts? Based on prior work…

How do children learn about the structure of the social world? We tested whether children would extract patterns from an agent's social choices to make inferences about multiple groups' relative social standing. In Experiment 1, 4- to 6-year-old children (N = 36; tested in Central New York) saw an agent and three groups ("Group-A,"…

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 paper investigates how mathematics teachers describe their ethical decision making related to instructional practices, drawing on frameworks that incorporate both rational and non-rational approaches. We employed a multiple-case study method, selecting three teachers as cases through criterion sampling. Data were collected via four…

This study investigated students' critical reasoning about commercials, as an aspect of advertising literacy. Critical reasoning was examined under two different experimental conditions. That is, students were tasked with watching four different commercials with 1) brand information provided or not, and 2) asked to engage in critical reasoning or…

Counterfactual conditional sentences (e.g., "If giraffes had fins, they would swim") involve an antecedent (e.g., "If giraffes had fins") which is false in the actual world. They also involve a consequent (e.g., "they would swim"), expressing a possibility given the antecedent. Reasoning about counterfactual…

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…