The focus of this dissertation is on students' thinking regarding the function concept in the context of abstract algebra, focusing on the properties of well- and everywhere-definedness. This dissertation follows a three-paper format, where each paper has a different yet related focus. In the first paper, I analyze (non-)examples found in…

The articles in this work address histories of how visual art educators have come to exist within scholarship on teacher evaluation. This study, reconceptualized outside of methodology through a post qualitative framework of inquiry, embodies poststructural feminist theories of ethics, exemplifying living theory and process as 'lifework'.…

For decades, many countries have kept refugees in settlements separated from local populations, making 'integration' a chimera. More recently, however, governments and international organizations have advocated for greater refugee integration and framed education as key to this process. For adult refugees, education in the place of asylum often…

The paper describes an implementation of research done over several years, by me and in some cases others, at Stanford University and elsewhere. The implementation comprised the design, building, testing, and marketing of a digital educational technology platform to provide a supplementary tool for explorative mathematics learning and assessment.

The current study examined the convergent validity between the standardized PEAK Comprehensive Assessment (PCA) and the semi-standardized PEAK Pre-assessment (PEAK-PA). Twenty-two participants were administered each tool, and an item by item analysis was conducted to evaluate correlations between tests. The results suggested a strong positive…

Beyond simply being a form of active learning, experiential learning, in its many iterations, has been promoted as a philosophy, a community development model, a theory, a professional skill training opportunity, a global education and civic development approach, and a pedagogical strategy that leads to deep, high impact learning. Indeed,…

Recent studies have indicated that gamification, the process of using game-like elements in nongame situations, increases student engagement and comprehension. The problem was that little is known about the extent to which digital elements of gamification are being used to help engage students in high school classes in Alaska. The purpose of this…

We tested a specific theoretical assumption of a learning trajectories (LTs) approach to curriculum and teaching in the domain of early length measurement. Participating kindergartners (n = 189) were assigned to one of three conditions: LT, reverse-order (REV), or business-as-usual (BAU). LT and REV students received one-on-one instruction using…

There is a growing body of work on the field of what is now known as 'cultural literacy', but little has been written about its application, and even less on how to teach it in the context of higher education. This article discusses 'destabilisation' as an approach to teaching cultural literacy in higher education in the context of the global…

Background: In the US, there is significant interest from policy boards and funding agencies to change students' experiences in undergraduate mathematics classes. Even with these reform initiatives, researchers continue to document that lecture remains the dominant mode of instruction in US undergraduate mathematics courses. However, we have…

Education for sustainable development (ESD) and higher education for sustainable development (HESD) are complex, multidisciplinary fields of enquiry, drawing on concepts and terms from different disciplines and languages. Although the fields are advancing in their acceptability within educational systems worldwide, they are currently struggling to…

The aim of this paper is to share the results of a global inquiry into the outcomes and impacts of action research (AR) projects. This is one of a series of papers associated with the Evaluative Study of Action Research (ESAR), an initiative launched by an international team of seven action researchers, to understand if the espoused intents…

The Republic of Korea is well known as a leader of gifted science education due to the significant progress it has made in the past two decades. This paper aims to provide a historical perspective of gifted science education in Korea by interviewing a key figure in the Korean science education community. This paper explores the various…

We discuss an investigation of the difficulties that students in a calculus-based university introductory physics course have with electric field and the superposition principle for the case of a continuous charge distribution and how that research was used as a guide in the development, validation, and evaluation of a tutorial on these topics to…

High school math projects center on solving real-world examples in a wide variety of situations that require a creative skill set. Creativity in high school mathematics takes place in a subtle form. In contrast, creativity presents itself conspicuously in art. Therefore, this paper will explore the utilization of polynomial equations in drawing…