Logical statements are prevalent in mathematics, science and everyday life. The most common logical statements are conditionals, 'If H … , then C … ', where 'H' is a hypothesis and 'C' is a conclusion. Reasoning about conditionals depends on four main conditional contexts (intuitive, abstract, symbolic or counterintuitive). This study tested a…

In an effort to examine students' understanding about the structure of boundary conditions in upper-division courses, think-aloud interviews were conducted in the context of both quantum mechanics and electricity and magnetism. In the quantum mechanics task, students were presented with a standard potential step scenario. In the electricity and…

Understanding fraction magnitudes is important for achievement and in daily life. However, adults' fraction reasoning sometimes appears to reflect whole number bias and other times reflects accurate reasoning. In the current experiments, we examined how contextual factors and individual differences in executive functioning (Experiment 1),…

In this paper, the application of fuzzy logic in mathematical education is viewed from the perspective of pre- school education. The aim of the paper is to give a brief overview of examples from the literature related to fuzzy logic and to point out the presence of fuzzy linguistic variables in the everyday life of a preschool child, as well as…

Lesson observation is frequently used in teacher induction programmes to support newly-qualified teachers in their reflection and classroom enquiry. This article uses an elaboration of Peirce's abduction to illustrate how the post-observation conversation supports a teacher's reflection on her teaching, and in particular, her teaching of language…

This study aims to assess the impact of integrative technology on the improvement of the logical thinking of students in mathematics, their goals and the appropriate technological process. The study used mixed research methods. Participants included third-grade students attending elementary schools No. 12 and Ataturk in Kentau (Kazakhstan) during…

Fostering students' computer programming skills has become an important educational issue in the globe. However, it remains a challenge for students to understand those abstract concepts when learning computer programming, implying the need to provide instant learning diagnosis and feedback in computer programming activities. In this study, a…

We examine false belief and counterfactual reasoning in children with autism with a new change-of-intentions task. Children listened to stories, for example, Anne is picking up toys and John hears her say she wants to find her ball. John goes away and the reason for Anne's action changes--Anne's mother tells her to tidy her bedroom. We asked,…

In two experiments (N = 64), we told 6- to 7-year-olds about improbable or impossible outcomes (Experiment 1) and about impossible outcomes concerning ordinary or magical agents (Experiment 2). In both experiments, children claimed that the outcomes were impossible and could not happen, but nonetheless generated realistic and natural explanations…

What is relational reasoning? Why is it critical to consider the role of relational reasoning in students learning and development in science, technology, engineering, and mathematics (STEM)? Moreover, how do the particular contributions populating this special issue address the pressing societal needs and offer guidance to researchers and…

Drawing on prior research on indirect proof, this paper reports on a series of exploratory studies that examine the extent to which findings on students' ways of reasoning about contradiction and contraposition characterize students' views of indirect existence proofs. Specifically, Study 1 documents students' comparative selections and selection…

This paper presents a novel approach to teaching how vaccines work in the body, and introduces a community outreach project and activity we piloted with youth. Our Nuestra Ciencia program addresses scientific misconceptions among bilingual elementary school children in engaging and scientifically accurate ways. Utilizing analogies and…

In this study, a research team made up of Métis artists and knowledge keepers, Anishinaabe and non-Indigenous educators, and a non-Indigenous university mathematics education researcher co-designed and delivered an Indigenous cultural mathematical inquiry in a Grade 5 classroom. We explored the connections between loom bead designs and…

This article discusses liberal arts college students' perceptions of environmental and ecological justice. Complementing emerging studies of education that tackles human-environment relationships, this article discusses student assignments related to the debates in social/environmental and ecological justice written as part of the course…

Purpose: Organizational ambidexterity brings together the paradoxical tensions between exploration and exploitation. Embracing such paradoxical tensions depends on both separating the poles to appreciate their distinct elements and integrating them to appreciate their synergies. This paper explores integrative ambidexterity that focuses on the…