A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…

Because honeybees are so crucial to the ecosystems in which they exist, educating younger children on the usefulness and relative harmlessness of honeybees may be key to ensuring their survival among future generations. Described here is a unit that addresses the critical role of the honeybee in pollinating flowers using the 5E learning cycle…

Co-production is not a new concept but it is one with renewed prominence and reach in contemporary policy discourse. It refers to joint working between people or groups who have traditionally been separated into categories of user and producer. The article focuses on the co-production of public services, offering theory-based and knowledge-based…

In the course of the last few years, we have investigated shifts of knowledge among different settings in inquiry-based mathematics classrooms: the individual, the small group and the whole class community. The different theoretical perspectives we used for analysing group work and for analysing whole class discussions, and the empirical data, led…

An organic chemistry experiment is described that is based on recent research to elucidate a novel cation-pi interaction between tetraalkammonium cations and propargyl hydrazines. This nonbonded interaction is a key component of the mechanism of ammonium-catalyzed intramolecular cycloaddition of nitrogen to the terminal carbon of a C-C triple bond…

This article explores the effect of high-stakes assessment on the representation of epistemic knowledge in the enacted curriculum--that is, the curriculum experienced by students in the classroom. Epistemic knowledge concerns the processes for constructing and evaluating theories that explain phenomena in the natural and social worlds.…

In this essay, traveling through the past half-century, the authors illustrate how mathematics education research shifted, theoretical, beyond its psychological and mathematical roots. Mapping four historical moments of mathematics education research onto broader paradigms of inquiry, the authors make a case for the field to take up a theoretical…

The experiences of international students along the lines of race and ethnicity, sexuality, gender, and nationality are virtually unknown. This study utilizes experience-centered narrative inquiry to explore the experiences of Black gay international students, and how they are racialized and sexualized in American higher education. Using a Queer…

Being literate in an academic discipline means more than simply being able to read and comprehend text; it means you can think, speak, and write as a historian, scientist, mathematician, or artist. Doug Buehl strips away the one-size-fits-all approach to content-area literacy and presents a much-needed instructional model for disciplinary…

The separation between "research" and "teaching" in universities has been under increasing challenge from scholars who want to place inquiry-based learning at the centre of higher education. An important approach to challenging established paradigms and structures is to question, and thereby destabilise, role distinctions,…

We can see why educators are drawn to making; maker environments hold tremendous potential for engaging learners in both (a) building and representing their knowledge and (b) fostering opportunities for seeing the world in new ways. This potential reflects what our team of middle school teachers, university professors, and graduate students…

In this yearlong qualitative study, situated within cognitive and social constructivist theory, the authors investigate the adoption of tablets (iPads) by a group of nine teacher educators for use in pre-service teacher instruction. Using data gathered from focus groups following each of three teaching terms, the authors examined how teacher…

Although research and new technologies have introduced different ways of observing microorganisms, including scanning and electron microscopy, these methods are expensive and require equipment that is typically not found in a middle school classroom. The transmission-through-dye technique (TTD; Gregg et al., 2010), a new optical microscopy method…

In this paper I consider the notion of 'visible pedagogy' in refining a conceptualization of 'socially-just pedagogy' in the mathematics classroom. I explore reasons why the recent focus on promoting formative assessment and metacognition, embodied in Hattie's 'visible learning', has failed to bring about the fundamental shift in pedagogic…

History education rests at the junction between historical content, disciplinary literacy, and educational psychology. To understand the sources and strategies that facilitate historical thinking, more inquiries are needed. How do students respond to different historical topics, texts, and tasks? Which sources and strategies best facilitate…