This paper reports on an exploratory study about probabilistic intuition in learning mathematics for decision-making. The analysis was carried out on a group of high school students in relation to their probabilistic intuition in problem-solving, after performing playful learning activities on a simulation platform specifically designed for this…

The development of the mathematical concept of the infinite, through the reflections that arise from personal notions and perceptions and the analysis of some ideas of Galileo and Cantor, invites us to investigate the relationship between intuition and formalization for the understanding of the said concept. This paper aims to observe and describe…

This study aimed to portray insightful problem solvers. Participants solved classic insight problems and rebuses and completed cognitive and creativity tasks. Grouping the participants based on their success in solving insight problems of different modalities revealed that 95% of the spatial problem solvers succeeded in solving verbal ones…

Different types of reasoning, such as intuitive, inductive, and deductive, are used in the generalization of figural patterns, as an important part of patterns in school mathematics. It is difficult to demarcate the constructive patterns where the regularity observed in the first few sentences is generalizable to the other sentences and each…

The purpose of this phenomenological study was to discover the college graduate experience of a junior officer who decided to finish their bachelor's degree despite any temptation to drop out of school; participants were selected from a midwestern military installation. The guiding theory of this study was Duckworth's grit theory; the study…

This study explores teachers' awareness of intuition, and how that awareness affects their classroom practices both conceptually and pragmatically. Scholars have long supported the notion that intuition is a crucial form of knowing that supports teaching. Teachers rely heavily on their intuition to deal with complex classroom situations,…

In this conceptual paper I discuss some ethical complexities in conducting classroom practitioner research on the psychology of language learning and I analyse the potential role of intuition in handling these complexities. I begin by developing the ethical argument for taking a "person-focused" rather than "systems-based"…

Topology is considered an advanced field in mathematics, and it might seem off-putting to people with no previous experience in mathematics. The classification theorem, which lies within the field of algebraic topology, is fascinating, but understanding it requires extensive mathematical knowledge. In this manuscript, we present a modular object…

We discuss how research on student difficulties was used as a guide to develop, validate, and evaluate a Quantum Interactive Learning Tutorial (QuILT) to help students learn how to determine the completely symmetric bosonic or completely antisymmetric fermionic wave function and be able to compare and contrast them from the case when the particles…

Taking the "practice turn" in K-12 science classrooms requires students to engage in processes of knowledge building, constructing explanatory accounts of natural phenomena. To support students in these sensemaking opportunities, a significant departure is needed from how science is typically taught in many classrooms. Teachers will need…

Adults and children 'promiscuously' endorse teleological answers to 'why' questions--a tendency linked to arguments that humans are intuitively theistic and naturally unscientific. But how do people arrive at an endorsement of a teleological answer? Here, we show that the endorsement of teleological answers need not imply unscientific reasoning (n…

Among many perspectives in discussions of design, this study re-asserts the relation between "intuition" and "reasoning." The aim is to comprehend the role of intuition and reasoning in the design process. In order to do this, retrospective self-reports of the first year, rule-based architectural design studio students were…

This study examines the behavior of individuals when two intuitive rules in their minds lead to two different outcomes concerning a problem. In the absence of the formal knowledge, intuitive rules can affect the mathematical thinking. Hence, studies have usually compared the correct answer of the related formal knowledge with the incorrect one…

The present study examined the acquisition of Spanish grammatical gender in 22 bilingual children (aged 5;0 to 13;5 years; Med=9;4 years; STD=2.3) who were born and raised in the United States and acquired Spanish as heritage speakers--that is, they learned Spanish, the minority language, in a home setting (Valdes, 2001). Each of the child…

This article describes how a secularized version of Lectio Divina is used within the classroom as a model for engaging in anti-racism and social justice discussions. Lectio Divina is an ancient tool for understanding texts. From its religious beginnings, it has been adapted to its secular forms for critical contemplative practice in twenty…