Metacognition supports students in successfully working through struggle by equipping them with the tools to maintain an awareness of what they are doing and to change directions when needed to overcome obstacles. Thus, it is of little surprise that effective problem solvers spend a significant amount of time analyzing tasks relative to the amount…

Since its first notable appearance in the "Second Handbook of Research on Mathematics Teaching and Learning," the phrase productive struggle has garnered support from a few, yet very influential, educational researchers. However, since the phrase was popularized by Hiroko Warshauer in 2011, examinations of the productive struggle have…

In my Keynote Address to PME-NA 45, I offer an embodied framework for naming what makes mathematics powerful for mathematicians and scientists, yet intractable for many learners. The essential claim is this: Students reside in the Real World, where math is grounded, embodied and meaningful, while mathematics resides in the ungrounded, disembodied…

Earthquakes, lightning, and history-changing ideas are classic examples of powerful, unpredictable forces of nature. These sorts of phenomena have been difficult to explain and predict, an often frustrating fact as humans try to understand and control the significant influences in our lives. Historically, such phenomena have been attributed to…

In this article the four coauthors share the process of moving a paper from a conference presentation to a manuscript that is acceptable for publication. The first two authors discuss the ways in which an experienced teacher educator mentored an emerging scholar through the submission process. The last two authors discuss the editors' role in…

Incubators are embedded in the culture of the economics of (value-added) services. To date, at least in Europe, they have operated in a manner analogous to the generation of nuclear power; that is, attempting to produce "entrepreneurial energy" through a process of fission that creates a division between the aspiring entrepreneurs'…

In some ways, there is a season of change at the national level in early childhood. Some things are wrapping up while some developments aim to prepare the "field" for improvements in the next year and beyond, just as a garden plot is readied for the next planting season. Change is in the air, and there's hope of renewal, but what changes and how…

This paper provides an example of an innovative solution to program development that addresses the diverse needs of teacher educators throughout various geographical locations in Florida, through a collaborative multi-university, multi-agency teacher training program funded by one collaborative grant. In this time of economic uncertainties,…

While many business schools may want their graduates to pursue social, environmental and economic opportunity, few schools are in fact developing leaders who have the skills, knowledge, and passion to do so. The reasons for this shortcoming have been highlighted by both educators and practitioners. On the one hand, this problem is rooted in how…

This paper proposes that given today's "wicked" problems (Malhotra, 1997), where there are complex issues with no clear answers, where boundaries are fuzzy and the outcome is usually never known and unexpected, creativity can be enhanced, at appropriate moments, by making modes of thinking explicit. Using a particular heuristic approach…

Traditionally, challenges such as how to sustain district reform, how to build a leadership pipeline, how to create an integrated project, or how to best intervene with struggling students would be resolved with a team of "experts" developing a solution in isolation of the stakeholders involved. By contrast, design thinking centers on the…

In today's knowledge-based society universities and firms must learn to engage more effectively. Universities focus on generating new knowledge, while firms are increasingly drawing on external collaborations to add value to their offerings. This book shows managers how to work with universities to boost their competitive position and revenue.…

These notes and questions have been prepared to promote discussion of the ideas set out in the Clarifying paper, "Living and learning in EcCoWell cities" to be found on the PASCAL International Exchanges (PIE) website. This Discussion Paper sets ten questions for discussion. We are hoping to encourage discussions of these issues around the world.

Students need tools, thinking skills, to help them think actively and in depth about biological phenomena. They need to know what kind of questions to ask and how to find answers to those questions. In this article we present a toolkit with 12 "thinking tools" for asking and answering questions about biological phenomena from different…

A contrast of two types of literary and theory criticism, negative and generative, points out how criticism can lead to productive work and what kind of criticism is most likely to evoke it. (CB)