This study identifies characteristics of polygon class learning opportunities for 8-9-year-old children during the whole-class instruction. We consider the interplay between the geometrical tasks demanding different ways of reasoning, features of children's geometrical thinking, and the teacher's moves to identify characteristics of learning…

Human decision-making is underpinned by distinct systems that differ in flexibility and associated cognitive cost. A widely accepted dichotomy distinguishes between a cheap but rigid model-free system and a flexible but costly model-based system. Typically, humans use a hybrid of both types of decision-making depending on environmental demands.…

University students are often asked to learn abstract concepts. Abstract concepts are hard to learn. Giving specific examples can help learning abstract concepts. These examples might limit understanding to the similarities between the abstract domain and particular examples. The primary purpose of this study was to test whether exposure to…

Capacities for abstract thinking and problem-solving are central to human cognition. Processes of abstraction allow the transfer of experiences and knowledge between contexts helping us make informed decisions in new or changing contexts. While we are often inclined to relate such reasoning capacities to individual minds and brains, they may in…

This paper reports the statistical and probabilistic reasoning of young children in terms of randomness, variability, and data representations in the context of informal inferential reasoning (IIR). Using the IIR approach, a task was designed and conducted one-on-one with 28 children aged 5 to 6 years old, in a case study setting. The researcher…

The construct of static and emergent shape thinking (Moore & Thompson, 2015) characterizes differences in students' reasoning about graphs. In our previous work with middle school students, we found that this construct may also be useful in characterizing students' reasoning about other representations such as simulations and tables. In this…

Moral decisions often involve dilemmas: cases of conflict between competing obligations. In two studies (N = 204), we ask whether children appreciate that reasoning through dilemmas involves acknowledging that there is no single, simple solution. In Study 1, 5- to 8-year-old US children were randomly assigned to a Moral Dilemma condition, in which…

Siegel claimed that teachers are obliged to provide grounds whenever demanded, as a result of which they must be able to subject to scrutiny whatever they teach. In this paper, however, and taking as a reference Wittgenstein's "On Certainty," it is shown that such a demand cannot work for second language teachers because their main task…

The foundational documents of Iran's educational system are formulated based on the presupposition of a divine innate disposition (Fitrah), which leads to a particular approach to religious education, including the concept of God presented to students. These documents rely on a specific interpretation of Fitrah that has not yet been critically…

As the primary location for adolescents' interpersonal communication, schools are an inevitable setting for interpersonal conflicts. This study aims to explore the differential performance of wise reasoning in both teacher-student and peer conflicts among high school students by network analysis, as well as the mediating roles of coping style.…

Background/purpose: This research aims to classify and show the characteristics of the types of abstract thinking students use when solving mathematical problems. Materials/methods: This descriptive qualitative research was conducted in a structured manner on students of the University of Muhammadiyah Surakarta, Faculty of Teacher Training and…

This study addresses the investment hypothesis of fluid on crystallised abilities onto academic achievement (Gf [right arrow] Gc [right arrow] "Achievement"), which might hold to a greater extent at earlier than at latter educational stages. We compared this prediction with two independent groups of secondary (n = 192, 113 females) and…

Counterfactual reasoning is the ability to reason about how the world might have been if past events or states had been different. It is helpful for making sense of past experiences to create future blueprints. Languages like English apply subjunctive forms to directly mark counterfactual premises. In contrast, Chinese does not apply subjunctive…

There is growing interest in the construct of "transduction", first introduced by (Kress, Cope and Kalantzis (eds), Multiliteracies: Literacy learning and the design of social futures pp.153-161, Routledge, 2000), p. 159) to name how meanings in one mode are remade in another. Science educators now broadly agree that students need to…

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.…