In this article, we think-with nots, knots, and (k)nots in the interstices of theory, methodology, pedagogy, and art. We define the (k)not as a bringing together of nots--openings toward creativity, mapping, and disruption--and knots--openings toward connection, entanglement, and speculative futures. Playing (k)nots within our own relations,…

This article discusses and elaborates on how concept mapping as a specific instructional strategy helps students to externalize and transform their understanding of qualitative research; and helps instructors to focus on their students' conceptual understanding of qualitative research. The discussion focuses on concept mapping as a learning…

This article presents a pedagogical strategy that uses Chex Mix™ as a visual and physical means of helping students learn data analysis. The manipulative is used to guide students to a deeper level of analysis by looking "within" and "between" data sources. Specific steps are shared about using Chex Mix™ snacks to teach the…

Purpose: Qualitative research is well-established and widely adopted across a range of disciplines; however, there is little discussion of the teaching of qualitative research methods. What engagements there are primarily focus on methods rather than core concepts that inform ethical and effective use of those approaches. "Subjectivity"…

This article presents a reflection on what the qualitative interview method conducted with students can provide to (mathematics) education research in terms of in-depth knowledge and what critical methodological points should be taken into consideration. Repeated interviews with the same students in relation to research quality is considered. The…

In this paper, I discuss and critically assess how the relationship between philosophy of science and qualitative methods is presented and discussed in research on qualitative research methods education (QRME) and qualitative methods textbooks. I argue that both typically convey the idea that philosophy of science guides or influences the use and…

Despite the relevance of qualitative methods in political science, the process of teaching qualitative research has received relatively little attention in the literature. What is it like to teach qualitative research in political science? This article focuses on the teaching of qualitative research by exploring examples from Brazil. The country…

Records of online collaborative mathematical activity provide us with a novel, rich, searchable, accessible and sizeable source of data for empirical investigations into mathematical practice. In this paper we discuss how the resources of crowdsourced mathematics can be used to help formulate and answer questions about mathematical practice, and…

The Repertory Grid Technique (RGT) is a qualitative method, based on the Personal Construct Psychology (PCP) theory, which provides a powerful tool to elicit tacit personal construction systems, with minimal intervention and interpretation. Although the contributory potential of the RGT as a cognitive research tool in science education has been…

This paper describes an innovative and replicable approach to teaching qualitative research through archived oral histories. Undergraduates with no research experience were able to pursue individual research questions and prepare a public conference presentation within one semester. In so doing, this approach overcame the barrier of a shortened…

Arts-based pedagogy has the potential to reimagine "traditional" research to engage learners in expanded and innovative methods, while also creating space for student voices. Grounded in a Deweyan experiential framework informed by arts-based pedagogy, this reflective dialogue revolves around a pedagogical reframing of a data analysis…

It is very common to find in contemporary literature of Differential Equations, the need to incorporate holistically in teaching and learning the three different approaches: analytical, qualitative, and numerical, for continuous dynamical systems. However, nowadays, in some Bachelor of Science that includes only one course in differential…

Qualitative practitioner research undertaken by teachers in schools is a vital means of developing pedagogy and practice, one that is under-valued in today's educational climate. This essay explores representations of students in qualitative studies, which, I argue, necessarily transform student participants into 'characters' within the…

The aim of this paper is to identify and describe the key traits of research with life histories. Previous studies on disability and my own work conducting research with the life histories and university experiences of students with disabilities help to explain how these key characteristics manifest themselves in practice. There are six traits…

For centuries, Native Hawaiians, like other Indigenous and historically oppressed communities, have been studied by Western researchers whose claims, until recently, have been accepted without question and in many instances have led to Native Hawaiians' continued oppression. However, now that growing numbers of Native Hawaiians and individuals…