Examples play a variety of roles in proving and disproving. Buchbinder and Zaslavsky (2019) have produced an a priori mathematical framework for assessing students' understanding of the role of examples when proving and disproving universal and existential statements. In this paper, I highlight three important aspects that suggest an extension of…

Holding conversations about setting, character, and plot are important conversations in a book club, but just as important are conversations about book features. This classroom practice article describes our experience teaching about peritextual features during a book club with children with learning difficulties.

This article highlights the primal concern of children at home and in school: knowing where safety lies in relationships of fairness. The article includes scenes where five-year-old children experience breaches in fairness and the framework commonly used to restore and maintain it. The work of Vivian Gussin Paley, the renowned early childhood…

Large language models (LLMs), through their exposure to massive collections of online text, learn to reproduce the perspectives and linguistic styles of diverse social and cultural groups. This capability suggests a powerful social scientific application--the simulation of empirically realistic, culturally situated human subjects. Synthesizing…

Social mobility scholars have long been interested in estimating the effect of intergenerational mobility, typically measured by differences in the socioeconomic status between parents and offspring, on later-life outcomes of offspring. In a 2022 article "Heterogeneous Effects of Intergenerational Social Mobility: An Improved Method and New…

Spreading the value of undergraduate research globally is the main aim of the nascent Alliance for Global Undergraduate Research (AGUR) and its hallmark conference, the World Congress on Undergraduate Research (WorldCUR). This commentary highlights the historical development of AGUR, WorldCUR, their mission, main objectives, impact, and the…

Many students of statistics and econometrics express frustration with the way a problem known as "bad control" is treated in the traditional literature. The issue arises when the addition of a variable to a regression equation produces an unintended discrepancy between the regression coefficient and the effect that the coefficient is…

Building on the definition of steamers (a tasty hot milk-infused drink), we defined STEAMMERS as "a blend of diverse talents, going beyond domain-specific to domain-integrated abilities. Like steamers, they have a rich and colorful 'flavor'!" They are passionate about solving problems they and others face by honoring and blending diverse…

Individuals who engage in problem behavior receive treatment services in various settings, such as their homes, schools, and clinics. These individuals are also likely to experience treatment provision from various practitioners, such as therapists, teachers, and caregivers. Changes in the treatment setting or intervention agent (i.e., context)…

A number of memorable tasks have been revealed through collegial exchanges with underlying philosophical, theoretical, and potentially nefarious motivations. Such was the origin of the probability problem, and the various differences of opinion, presented herein. This article recounts how, together, we explored and disputed the probabilities…

Artificial intelligence (AI) encompasses the science and engineering behind creating intelligent machines capable of tasks that typically rely on human intelligence, such as learning, reasoning, decision-making, and problem-solving. By analyzing vast amounts of data, identifying patterns, and making predictions that were once impossible, AI has…

A concept-heavy engineering module was offered to introduce the experience of solving full-scale real-world energy-related engineering problems within a classroom environment and prepare students to be professionally ready for the industry. The widely practiced hybrid problem-based learning (h-PBL) pedagogical approach was adopted for the first 2…

The excessive restrictions on the resignation rights of public university teachers, especially high-level talents, have affected the rights and interests of the legal flow of talent. Whether the employment contract can continue to be performed, whether the service period and the liquidated damages clause violate the provisions of the 'Labour…

The advancement of large language model-based generative artificial intelligence (LLM-based GenAI) has sparked significant interest in its potential to address challenges in computational thinking (CT) education. CT, a critical problem-solving approach in the digital age, encompasses elements such as abstraction, iteration, and generalisation.…

Effective mathematics teaching practices include not only probing student thinking and selecting student strategies to share but also facilitating discourse and encouraging reflection about important mathematical ideas (National Council of Teachers of Mathematics [NCTM], 2014, pp. 36-37). Encouraging students to use precise academic vocabulary to…