As part of an investigation into the relationship between classroom dialogue and student outcome, a test of reasoning has been developed that is suitable for preadolescents (i.e. c.10-13-year-olds). Building on previous work but expanding this considerably, the test focuses upon four areas of reasoning: differentiation of facts from opinions,…

In this article, we discuss the process of understanding continuity, which is one of the most fundamental concepts in mathematics. The continuity of mathematical functions is formally defined in terms of abstract symbols and operations. This representation of continuity is very abstract or dis-embodied. Therefore, it is difficult to acquire a…

Instruction facilitating the abstraction and transfer processes necessary for deep conceptual understanding is notoriously difficult. Individual differences in learning strategies are one possible explanation for variation in transfer outcomes. Prior work has shown that rule-abstraction learning strategies facilitate knowledge transfer better than…

Listening to music activates representations of movement and social agents. Why? We test whether causal reasoning plays a role, and find that from childhood, people can intuitively reason about how musical sounds were generated, inferring the events and agents that caused the sounds. In Experiment 1 (N = 120, pre-registered), 6-year-old children…

Task-relevant actions can facilitate mathematical thinking, even for complex topics, such as mathematical proof. We investigated whether such cognitive benefits also occur for action predictions. The action-cognition transduction (ACT) model posits a reciprocal relationship between movements and reasoning. Movements--imagined as well as real ones…

This qualitative study investigated the impact of explicit instruction, collaborative reflective tasks, and constructive feedback on the criticality of student teachers' (STs') reflections over time. The participants were 26 STs who were engaged in a second language teacher education (SLTE) programme at a research university in Istanbul, Turkey.…

Past studies have documented some pre-service teachers' (PSTs) difficulties in reasoning about sampling variability. This study adds to the body of literature by investigating the ideas that PSTs employ in reasoning about sampling variability, and by conjecturing what is behind the difficulties especially during the contextuality episodes. This…

Adult humans are uniquely proficient in reasoning with abstract relations (relational reasoning) - a capacity which underpins much of human-unique cognition, including scientific analogies, artistic metaphors and many phrases in day-to-day language and thought. An important question for cognitive science, therefore, is exploring the nature of this…

Knowing the temporal direction of causal relations is critical for producing desired outcomes and explaining events. Existing evidence suggests that children start to grasp that causes must precede their effects (the temporal priority principle) by age 3; however, whether younger children also understand this has, to our knowledge, not previously…

Habermas' construct of rationality is a tool adapted from social sciences into mathematics education to identify the difficulties in the proving process and to plan the teaching of proof for reducing these difficulties. According to Habermas, people engaged in an activity/action are considered to "act rationally" if they choose and use…

In today's complex and rapidly changing world, integrating values, critical thinking, and moral reasoning in language and literature education is crucial for equipping students with the skills to navigate multifaceted ethical dilemmas and become responsible global citizens. This article highlights the connection between language, literature,…

This study aimed to characterise preservice teachers' (PSTs') noticing in a mathematics classroom and its influence on their lesson modification. Written narratives on video-taped lesson observation were analysed qualitatively in two components, attending and reasoning. The findings indicate that PSTs' initial noticing focused on general…

Pedagogical content knowledge (PCK) traditionally has been used in research concerning prospective and practicing classroom teachers. This essay argues that PCK is also relevant to other professions including those advancing quantitative reasoning (QR). To illustrate, the case of PCK for teaching QR is considered. Those in fields such as public…

Background and Context: In order to fully include learners with visual impairments in early programming education, it is necessary to gain insight into specificities regarding their experience of and approach to abstract computational concepts. Objective: In this study, we use the model of the layers of abstraction to explore how learners with…

While researchers have stressed the importance of engaging students in activities that enhance their reasoning practices, few have scrutinised the factors that impact the reasoning involved in such activities. We explored the role of attitudes in student-group interactions concerning a climate change-related socio-scientific issue and how those…