Enactivism theorizes thinking as situated doing. Mathematical thinking, specifically, is handling imaginary objects, and learning is coming to perceive objects and reflecting on this activity. Putting theory to practice, Abrahamson’s embodied-design collaborative interdisciplinary research program has been designing and evaluating interactive tablet applications centered on motor-control tasks whose perceptual solutions then form the basis for understanding mathematical ideas (e.g., proportion). Analysis of multimodal data of students’ handand eyemovement as well as their linguistic and gestural expressions has pointed to the key role of emergent perceptual structures that form the developmental interface between motor coordination and conceptual articulation. Through timely tutorial intervention or peer interaction, these perceptual structures rise to the students’ discursive consciousness as “things” they can describe, measure, analyze, model, and symbolize with culturally accepted words, diagrams, and signs – they become mathematical entities with enactive meanings. We explain the theoretical background of enactivist mathematics pedagogy, demonstrate its technological implementation, list its principles, and then present a case study of a mathematics teacher who applied her graduate-school experiences in enactivist inquiry to create spontaneous classroom activities promoting student insight into challenging concepts. Students’ enactment of coordinated movement forms gave rise to new perceptual structures modeled as mathematical content.

This paper used phenomenological constructivism to demonstrate and evaluate a mixed method approach for conducting information systems research. It evaluated the implementation and implications of mixed methods approach as an exploratory and inductive research method. A case study which made use of indepth interviews was used to provide the dominant qualitative (QUAL) method. Following this, a questionnaire survey was used to provide the results for the less dominant method which is the quantitative (QUAN) data. The mixed method approach was adopted to enhance the completeness and accuracy of the interpretation of the study. It provided a number of recommendations for the use of mixed methods approach for IS projects.

Key words: case study, information systems, mixed methods, phenomenological constructivism.

This paper aims to provide principles and to give a case study of the application of Bateson’s ideas to promote epistemological change in organisations to deal with problems which many governments currently attempt to address by control through detailed performance indicators and top-down monitoring. It suggests that epistemological change requires an approach that goes beyond rational argument and provides an example of the way that emotional engagement and story telling can be built into action research based on cybernetic ideas. Bateson stresses the need for an epistemological change to embrace an understanding of the implications of circular causation to underpin our approach to problems and policy making. The case study shows how research using systemic principles can address epistemological change at all its stages including data collection and dissemination. In this way the research aims to become a conversation in which participants can reflect on the epistemological assumptions that underpin their actions. Relevance: Following Maturana and Bateson it is found that a reflexive conversation that engages participants through emotion and story telling as well as demonstrating reflection on the researcher’s own assumptions can powerfully engage participants in changing how they see problems and what they do. Whilst rational argument can be used to develop and expand a rational domain, including the rational domain of cybernetics, the paper suggests that the introduction of a systemic or cybernetic understanding to newcomers instead requires aesthetic seduction that can be achieved by promoting reflection on epistemological assumptions through story telling and emotional engagement.

Context: There seem to be relatively few sustained implementations of microworlds in mathematics instruction. Problem: We explore the roles of and demands on university instructors to create an environment that supports students’ constructionist learning experiences as they design, program, and use interactive environments (i.e., microworlds) for doing mathematics. Method: We draw on the experiences of instructors in programming-based courses implemented since 2001 at Brock University, Canada, as a case study, and use Ruthven’s model on the professional adaptation of classroom practice with technology to guide our analysis of these experiences. Results: We describe how, in adapting to a design of empowering students to engage in programming for authentic mathematical explorations, instructors adopt characteristics of constructionist teaching that, nevertheless, demand expertise, a shift in traditional roles, and time from instructors. Implications: The results contribute to our understanding of roles of and demands on “ordinary” instructors in classrooms, who aim to create rich environments for supporting students’ constructionist learning experiences of computational thinking for mathematics. Constructivist content: The teaching approach aligns with Papert’s constructionism: a constructivist learning theory, but also a pedagogical paradigm. However, the approach presented has two salient characteristics: it is a university-level constructionist implementation, and it is a sustained long-term authentic classroom implementation. The focus is on the roles of and demands on instructors in that kind of implementation. Through the analysis using Ruthven’s work, we enrich our understanding of constructionist teaching features.

Key words: Computational thinking, constructionism, mathematics, programming, microworlds, university, teachers.

Complexity is integral to planning today. Everyone and everything seem to be interconnected, causality appears ambiguous, unintended consequences are ubiquitous, and information overload is a constant challenge. The nature of complexity, the consequences of it for society, and the ways in which one might confront it, understand it and deal with it in order to allow for the possibility of planning, are issues increasingly demanding analytical attention. One theoretical framework that can potentially assist planners in this regard is Luhmann’s theory of autopoiesis. This article uses insights from Luhmann’s ideas to understand the nature of complexity and its reduction, thereby redefining issues in planning, and explores the ways in which management of these issues might be observed in actual planning practice via a reinterpreted case study of the People’s Planning Campaign in Kerala, India. Overall, this reinterpretation leads to a different understanding of the scope of planning and planning practice, telling a story about complexity and systemic response. It allows the reinterpretation of otherwise familiar phenomena, both highlighting the empirical relevance of the theory and providing new and original insight into particular dynamics of the case study. This not only provides a greater understanding of the dynamics of complexity, but also produces advice to help planners implement structures and processes that can cope with complexity in practice.

Key words: complexity, autopoiesis, self-referential selections, ideology, law.

This essay introduces the theory of legal autopoiesis to planning. It discusses the main tenets of neo-systems thinking and elaborates on select claims and concepts from legal autopoiesis for planners. The claims and concepts are then used to re-analyse a published case study describing the after-effects of the implementation of a Compulsory Purchase Order in the regeneration of the Docklands in Cardiff. The re-interpretation draws attention to the added insights brought into focus by the theory. The significance of neo-systems thinking for planning is then discussed. The article concludes that the new epistemological framings connects the universal to the particular with implications for current understandings of planning concepts such as public interest, consensus, situatedness, contingency and justice. Neo-systems thinking thus deconstructs ‘how to’ dilemmas for planners from a non-normative standpoint at a meta-operational level.

Key words: compulsory purchase orders, legal autopoiesis, meta-operations, neo-systems thinking.

Open peer commentary on the article “A First-Person Analysis Using Third Person-Data as a Generative Method: A Case Study of Surprise in Depression” by Natalie Depraz, Maria Gyemant & Thomas Desmidt. Upshot: I present a critical review of Depraz et al.’s target article and its promise to provide a novel “generative method” of analyzing first-person micro-phenomenological interviews using third-person physiological data. I argue that although indeed promising, the generative method may still be haunted by the issues pertaining to the other (neuro)phenomenological methods, like experimenter and respondent biases, and the problem with mistaking first-person with second-person data. In the end, I analyze the category of surprise and the way it was extracted from the data. The Philosopher’s Stone

This paper presents a positivist quantitative case study of four rural Queensland schools implementing the Queensland Studies Authority’s outcomes based education curriculum. Queensland’s school-based management system means that these schools are operating at distinctly different points along their implementation phase. This research shows how the QSA is yet to achieve an effective understanding of outcomes based education in the cluster schools. It establishes a relationship between successful implementation of an outcomes based education curriculum and an understanding of the curriculum’s intended constructivist learning theory and pedagogy.

Human thinking uses other peoples’ experience. While often pictured as computation or based on the workings of a language-system in the mind or brain, the evidence suggests alternatives to representationalism. In terms proposed here, embodiment is interlaced with wordings as people tackle the integration problem. Using a case study, the paper shows how a young man uses external resources in an experimental task. He grasps a well-defined problem by using material resources, talking about his doings and switching roles and procedures. Attentional skills enable him to act as an air cadet who, among other things, connects action, leadership and logic. Airforce practices prompt him to draw timeously on non-local resources as, using impersonal experience, he interlaces language, action and perception. He connects the cultural and the metabolic in cognitive work as he finds a way to completion of the task.

Key words: cognitive science, distributed cognition, ecological psychology, enactivism, integration problem, interactivity, problem solving, river problem, systemic cognition, thinking

Recognition of the importance of autopoiesis to biological systems was crucial in building an alternative to the classic view of cognitive science. However, concepts like structural coupling and autonomy are not strong enough to throw light on language and human problem solving. The argument is presented though a case study where a person solves a problem and, in so doing relies on non-local aspects of the ecology as well as his observer’s mental domain. Like Anthony Chemero we make links with ecological psychology to emphasize how embodiment draws on cultural resources as people concert thinking, action and perception. We trace this to human interactivity or sense-saturated coordination that renders possible language and human forms of cognition: it links human sense-making to historical experience. People play roles with natural and cultural artifacts as they act, animate groups and live through relationships drawing on language that is, at once, artificial and natural. Thus, while constrained by wordings, interactivity is able to fine-tune what we do with action-perception loops. Neither language nor human problem solving reduce to biological sense-making.

Key words: enactivism, ecological psychology, distributed cognition, distributed language, problem solving, sense-making, interactivity, organism–environment system