Bringing forth mathematical concepts: signifying sensorimotor enactment in fields of promoted action

Inspired by Enactivist philosophy yet in dialog with it, we ask what theory of embodied cognition might best serve in articulating implications of Enactivism for mathematics education. We offer a blend of Dynamical Systems Theory and Sociocultural Theory as an analytic lens on micro-processes of action-to-concept evolution. We also illustrate the methodological utility of design-research as an approach to such theory development. Building on constructs from ecological psychology, cultural anthropology, studies of motor-skill acquisition, and somatic awareness practices, we develop the notion of an “instrumented field of promoted action”. Children operating in this field first develop environmentally coupled motor-action coordinations. Next, we introduce into the field new artifacts. The children adopt the artifacts as frames of action and reference, yet in so doing they shift into disciplinary semiotic systems. We exemplify our thesis with two selected excerpts from our videography of Grade 4–6 volunteers participating in task-based clinical interviews centered on the Mathematical Imagery Trainer for Proportion. In particular, we present and analyze cases of either smooth or abrupt transformation in learners’ operatory schemes. We situate our design framework vis-à-vis seminal contributions to mathematics education research

Complex methods of inquiry: structuring uncertainty

Organizational problem spaces can be viewed as complex, uncertain and ambiguous. They can also be understood as open problem spaces. As such, any engagement with them, and any effort to intervene in order to pursue desirable change, cannot be assumed to be just a matter of ‘complicatedness’. The issue is not just a need to cope with dynamics of system. It is also the perceptual ‘boundedness’ of multitudes of assumptions about scope of whole and limitations of organization as system. Furthermore, explicit attention to complexities of feedback loops is an extremely important aspect of any systemic discussion. How can we help teams of competent professionals to engage purposefully with such uncertain and ambiguous problem domains? The author suggests that we can only address this effectively through pragmatic efforts to incorporate a multitude of boundary-setting assumptions, explored as part of active (self-) reflection and practical engagement. This must be undertaken without resorting to an overly simplistic application of convergent thinking in our efforts to support problem solving. Instead, we need to pursue divergent thinking and ‘complexification’ in our effort to support problem resolving. The main contribution of this thesis is to present a collection of principles that taken together, provide support for this engagement ntervention. A core feature of this result is the framework for Strategic Systemic Thinking, which includes examples of pragmatically useful methods and tools

Complete Issue, Volume 35, Issue 1

This is the complete issue for Volume 35, Issue 1 of the Journal of the Association for Communication Administration

An Exploration of Enterprise Architecture Research

Management of the enterprise architecture has become increasingly recognized as a crucial part of both business and IT management. Still, a common understanding and methodological consistency seems far from being developed. Acknowledging the significant role of research in moving the development process along, this article employs different bibliometric methods, complemented by an extensive qualitative interpretation of the research field, to provide a unique overview of the enterprise architecture literature. After answering our research questions about the collaboration via co-authorships, the intellectual structure of the research field and its most influential works, and the principal themes of research, we propose an agenda for future research based on the findings from the above analyses and their comparison to empirical insights from the literature. In particular, our study finds a considerable degree of co-authorship clustering and a positive impact of the extent of co-authorship on the diffusion of works on enterprise architecture. In addition, this article identifies three major research streams and shows that research to date has revolved around specific themes, while some of high practical relevance receive minor attention. Hence, the contribution of our study is manifold and offers support for researchers and practitioners alike

Attending responding becoming : a living-learning inquiry in a naturally inclusional playspace

Traditional scientific paradigms emphasise writing in the third person, effectively marginalising the subjective perspective of the researcher. Many systems thinking, cybernetics and complexity approaches are better in this regard, as they involve systemic interventions where the relationships between the researcher and other participants really matter. Writing in the first person therefore becomes acceptable.In this Thesis (and a partner document coupled with it), I have explored how to reincorporate subjective empiricism into my systemic intervention practice. This has brought forth many unanticipated contributions. These take the form of new frameworks, concepts and approaches for systems and complexity practice, emerging from my engagements with myself and others, as well as from reflections upon those engagements.However, the content of my reflections and ‘becomings’ are not all that represent my doctoral contribution; there is also the form of my representation(s), as well as the emergent nature of the process through which they have come to be. I have drawn from Gregory Bateson’s use of metalogues: where the nature of a conversation mirrors its content – e.g. getting into a muddle whilst talking about muddles! Intuitively, I grasped the importance of metalogue in what I was attempting, and found myself coining the term metalogic coherence. Without fully appreciating what this might mean in practice, I groped my way into undertaking and documenting my research in ways that I believed would be metalogically coherent with the complexity-attuned principles to which I was committing. In sum, and key to appreciating what unfolds in the narrative, is recognising this Thesis and its partner document as metalogically coherent artefacts of naturally inclusional, complexity-attuned, evolutionary research.To fully acknowledge the different ways of knowing that have flowed into my inquiry, I have written in multiple voices (called statewaves, for reasons to be explained in the thesis). I found myself shifting from one voice to another as I explored and expressed different dimensions of what I was experiencing and discovering.In addition, I have made liberal use of hyperlinks, so both documents are far from linear. They are more akin to a mycorrhizal network, interlinking flows of ideas and sensemaking, all of which can be accessed and experienced differently, depending on each reader’s engagement with and through it.The thesis and its partner document are part of a composite submission that contains both poetry and artwork (visual depictions and animations of the ideas). These elements, along with the more conventional academic text, are augmented by penetrating reflections on my personal motivations, guided by a narrator signposting the streams as they flow into and between each other. All of my being has been implicated and impacted by this endeavour. When insights and new ‘becomings’ emerged flowfully during my practice, my joy was reflected in my narrative; as indeed were my pain, doubts and reinterpretations associated with ideas that were difficult to birth. I present all this in my submission, without retrospective sanitisation or simplification. In so doing, I am keeping faith with the principle that I remain at the heart of my research, and cannot be extracted from it without doing violence to the metalogical coherence that gives it meaning

Grounded Practical Theory to Improve Persistence-Retention Strategic Enrollment Management

The author introduces grounded practical theory (GPT) as a useful research approach in the field of strategic enrollment management (SEM) and its focus on persistence-retention. The GPT approach is then illustrated by engaging sample voices of persistence-retention and SEM; scientific theory (the philosophical level) and normative theory (the technical level) as observed in the literature. The scientific theory voices and normative theory voices are then positioned in relation to voices of students and practitioners (observed respondents) who have identified real world persistence-retention and SEM problems. These problems suggest implications for reconstructing the relationship between persistence-retention and SEM philosophical, theoretical, and problem levels. In that the GPT process culminates with the researcher presenting a grounded practical theory, a persistence-retention and SEM model of what “ought to be” in the first 100 days is presented for the purpose of stimulating discussion, beyond this article, among practitioners and academics

Requisite Wisdom: Transpersonal Psychology in the Treatment of Clinical Depression

This paper describes the relationship of Transpersonal Psychology (TP) to the theorizing and treatment of clinical depression. It argues that, rather than TP’s being one of many equivalent clinical lenses that can be applied to depression, TP is actually a necessary framework for understanding the phenomenon of depression, and at least in the case of more severe/chronic depressions, it is required to obtain results beyond mere symptom management. The construct “ungrieved futility” is used to essentialize the structural dynamic nature of depression, and the cybernetic perspective on depression is used to explain why depression’s intrinsic structure mandates a TP lens (what is referred to as depression’s “transphilic” nature). The implications of this view on the treatment of depression are described, in terms of impacts on outcomes and both client and therapist experiences of treatment

The Limits of Modelling: Data Culture and the Humanities

Willard McCarty’s Humanities Computing (2005) opens a dialogue about modelling in the humanities. I extend that conversation by complicating his version of the model and by looking at the limits of modelling to find out what it is not. I suggest that, unlike scientific models, humanist models cannot be separated from the mode of Humanism that produced them. I argue that databases are not always models and that the boundary between model and database helps us to understand the advantages and limitations of both. A renewed appreciation of database culture can help to move humanist scholarship in new directions