Common sense is a dynamic concept and it is natural that our (statistical) common sense lags behind the development of statistical science. What is not so easy to understand is why common sense lags behind as much as it does. We conduct a survey among Japanese students and provide examples and tentative explanations of a number of statistical…

The goals of this article are three-pronged. The first is to consider the perspectives and insights collectively offered by the four contributions to this special issue dealing with higher-order, critical, and critical-analytic thinking. The second is to build on the content of those contributions and on the literature from philosophy and…

Unlike other technologies that augment human physical skills and abilities, artificial intelligence (AI) technologies interact with human thinking skills nurtured through various educational processes. Hence, advances in these technologies challenge the education sector to reimagine the suitable intellectual formation of students in the AI age. It…

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…

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…

Insight and intuition are important concepts in creativity research and creative behavior with applications in a wide variety of professional and business domains. Understanding and articulating their similarities and differences is important theoretically and practically. Researchers and practitioners can benefit from the application of new…

The authors present a Web application they designed in the R programming language as an experiential learning tool for teaching production theory. The app simulates production decisions where a manager is tasked to find the optimal mixture of inputs through experimentation. Users of the application are instructed to use calculations and intuitions…

An effective leader is a supportive person who values your thoughts, ideas, and opinions. Excellent leaders are available to all members of the team, willing to work hard, engaged no matter what the task, and are notably trustworthy. Leaders help focus the team through purposeful communication, vision, engagement, and inspiration to cause others…

When authoring physics problems, professors may develop an intuition for how much information they need to provide such that the problem has a unique answer and is not over constrained. It is an open question as to whether using intuition leads to a sufficiently broad range of problems. In this paper we discuss a systematic way of authoring…

Meta-analysis results are usually presented in forest plots, which show the individual study results and the summary effect along with their confidence intervals. In this paper, we propose a system of linear springs as a mechanical analogue of meta-analysis that enables visualization and enhances intuition. The length of a spring corresponds to a…

Take a family of independent events. If some of these events, or all of them, are replaced by their complements, then independence still holds. This fact, which is agreed upon by the members of the statistical/probability communities, is tremendously well known, is fairly intuitive and has always been frequently used for easing probability…

We propose a cognitive-psychological model of linguistic intuitions about copredication statements. In copredication statements, like "The book is heavy and informative," the nominal denotes two ontologically distinct entities at the same time. This has been considered a problem for standard truth-conditional semantics. In this paper, we…

To a student in introductory physics, using vectors is at best an exercise in bookkeeping. A two-dimensional kinematics problem effectively doubles the number of equations that a student must know, and invites the student to memorize factoids: "The horizontal motion is constant," "Gravity is only in the y-direction," etc. Force…

The integration of artificial intelligence (AI) into educational ecosystems represents a paradigm shift in pedagogical practices and educational governance. While AI offers unprecedented opportunities to personalize learning, optimize administrative processes, and provide intelligent tutoring, it poses significant challenges to maintaining human…

The topic of Bayesian updating is explored using standard and non-standard dice as an intuitive and motivating model. Details of calculating posterior probabilities for a discrete distribution are provided, offering a different view to P-values. This article also includes the stars and bars counting technique, a powerful method of counting that is…