Definitions play an integral role in mathematics and mathematics classes. Yet, expectations for definitions and how they are intended to operate, i.e., mathematical norms for definitions, can remain hidden from students and conflict with other discursive norms, explaining differences in mathematicians' and students' understandings of the nature of…

This article presents an inquiry-oriented lesson for teaching Lagrange's theorem in abstract algebra. This lesson was developed and refined as part of a larger grant project focused on how to "Orchestrate Discussions Around Proof" (ODAP, the name of the project). The lesson components were developed and refined with attention to how well…

This chapter describes how instructors can foster curiosity and exploration to improve digital literacy for college students. It also details multiple inquiry-based teaching strategies that may be used in digital literacy contexts.

This activity guide provides scenarios, questions for further discussion, and sample activities for each of the American Association of School Librarians (AASL) Standards Frameworks--Learner, School Librarian, and School Library--across the four Domains--Think, Create, Share, and Grow. These engaging activities will support school librarians in…

Curiosity motivates the search for missing information, driving learning, scientific discovery, and innovation. Yet, identifying that there is a gap in one's knowledge is itself a critical step, and may demand that one formulate a question to precisely express what is missing. Our work captures the integral role of self-generated questions during…

What should professional development of knowledge and skills of academic sport scientists look like? We address this question by first dwelling in what 'being a professional academic' entails. Professionals work methodically, typically specialising their knowledge and skills while strategically planning how to progress their careers, often not…

The authors share their stories on how they moved from unknowingly using appreciative frameworks in their life and work in higher education to knowingly applying it as appreciative educators. They share a co-created definition of being an appreciative educator and how appreciative inquiry can be used today in higher education.in

The value of articles published in journals devoted to the scholarship of teaching and learning constitutes a relatively unexplored topic of inquiry within the broader field of inquiry on the scholarship of teaching and learning. This article addresses this topic using citations and four types of altmetrics as indicators of value. We used a sample…

Although inquiry-based instruction has been a centerpiece of progressive visions of social studies education almost since its inception as a school subject a century ago, teachers often struggle to conceptualize it in ways that make true inquiry possible for their students. In this essay I suggest that social educators strengthen their connection…

Rock and mineral labs are fundamental in traditional introductory geology courses. Successful implementation of these lab activities provides students opportunities to apply content knowledge. Inquiry-based instruction may be one way to increase student success. Prior examination of published STEM labs indicates that geology labs, particularly…

Critical thinking is often nominated as a graduate attribute, a learning outcome, and is even offered as a discrete subject in schools and universities. Therefore, it is important to gain clarity about the fundamental goal or purpose of critical thinking education. What should instructors be aiming at when they seek to instil critical thinking in…

Prior research on the "Community of Inquiry" (CoI) framework has a limited amount of work which uses structural techniques to confirm the factorial structure of the CoI. The current study investigates the structural relationships among the three elements of the CoI framework (cognitive presence, teaching presence, and social presence),…

This study investigated the effects of presenting domain information (basic information about the domain) either together with or instead of offering exploratory practice (an exploratory opportunity in a simulation-based representation of the learning domain) prior to inquiry learning for facilitating students' hypothesis generation and subsequent…

There are conflicting reports not only on the effect of scientific inquiry on academic achievement but also insufficient evidence on the relationship between understanding the nature of scientific inquiry and academic achievement; more generalizable studies are needed. The purpose of this large sampled study was to investigate the middle school…

This article describes the author's experience designing and implementing an inquiry-based learning (IBL) pedagogical approach to an upper-division undergraduate cryptology course. The author shares the course goals and how the IBL style supports their achievement. The article concludes with sample activities -- in-class exercises that touch on…