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.

Key words: mathematics, education, motor learning, conceptual learning, motor problem, conceptual metaphor

This article presents the design and analysis of a polysensory listening experience of different languages. Combining sensory design, phenomenology and language education, this research draws on the enaction paradigm. The objective of the authors is twofold: to understand the nature and structures of transmodal perception of unknown languages and to prepare a novel educational approach to sensory awareness to foreign languages. The article will explain the origin of the project as well as its theoretical framework and the foundations that dictated the aesthetic and didactic choices for the video used as a primer within the experiment. Finally, the authors share findings that suggest that inhabitual ways of listening to familiar and unfamiliar languages result in emotional filters as well as cognitive and attentional oscillations.

Open peer commentary on the article “Assessing Subjective Processes and Vulnerability in Mindfulness-based Interventions: A Mixed methods Exploratory Study” by Sebastián Medeiros, Carla Crempien, Alejandra Vásquez-Rosati, Javiera Duarte, Catherine Andreu, Álvaro I. Langer, Miguel Ibaceta, Jaime R. Silva & Diego Cosmelli Sánchez. Abstract: I focus on the impact of mindfulness practice in the face of aversive experience and argue that it is more than merely changing one’s cognitive strategy. Shifting perspective instead may be rooted in an emergent qualitatively different subjective awareness of self and phenomena - leading to a different way of relating to any kind of experience.

Experimental phenomenology is the study of appearances in subjective awareness. Its methods and results challenge quite a few aspects of the current debate on consciousness. A robust theoretical framework for understanding consciousness is pending: current empirical research waves on what a phenomenon of consciousness properly is, not least because the question is still open on the observables to be measured and how to measure them. I shall present the basics of experimental phenomenology and discuss the current development of experimental phenomenology, its main features, and the many misunderstandings that have obstructed a fair understanding and evaluation of its otherwise enlightening outcomes.

This paper presents a pilot study that explores instances of objectless awareness during sleep: conscious experiences had during sleep that prima facie lack an object of awareness. This state of objectless awareness during sleep has been widely described by Indian contemplative traditions and has been characterised as a state of consciousness-as-such; while in it, there is nothing to be aware of, one is merely conscious (cf. Evans-Wentz, 1960; Fremantle, 2001; Ponlop, 2006). While this phenomenon has received different names in the literature, such as ‘witnessing-sleep’ and ‘clear light sleep’ among others, the specific phenomenological profile of this state has not yet been rigorously studied. This paper aims at presenting a preliminary investigation of objectless consciousness during sleep using a novel tool in qualitative research that can guide future research. Five participants experiencing objectless consciousness during sleep were interviewed following the Micro-phenomenological Interview technique (MPI; Petitmengin, 2005, 2006). All participants reported an experience they had during sleep in which there was no scenery and no dream. This period labelled as ‘No Scenery/Void’ was either preceded by the dissolution of a lucid dream or by other forms of conscious mentation. The analysis of the results advances four experiential dimensions during this state of void, namely (1) Perception of absence, (2) Self-perception, (3) Perception of emotions, and (4) Perception of awareness. While the results are primarily explorative, they refer to themes found in the literature to describe objectless sleep and point at potential avenues of research. The results from this study are taken as indications to guide future operationalisations of this phenomenon.

Key words: dreamless sleep, micro-phenomenological interview, qualitative research, witnessing-sleep

In philosophy, there is an as yet unresolved discussion on whether there are different kinds of kinds and what those kinds are. In particular, there is a distinction between indifferent kinds, which are unaffected by observation and representation, and interactive kinds, which respond to being studied in ways that alter the very kinds under study. This is in essence a discussion on ontologies and, I argue, more precisely about ontological levels. The discussion of kinds of kinds can be resolved by using a semiotic approach to ontological levels, building on the key semiotic concept of representation. There are three, and only three, levels of semiosis: nonor protosemiotic processes without representation, such as physical or causal processes, semiotic processes with representation, such as the processes of life and cognition, and second-order semiotic processes with representation of representation, such as self-awareness and self-reflexive communication. This leads to the distinction between not two, but three kinds of kinds: indifferent, adaptive and reflexive kinds, of which the last two hitherto have not been clearly distinguished.

Key words: Peirce, biosemiotics, constructivist, natural kinds, ontological levels, representation, second-order cybernetics, semiotic levels, semiotic thresholds

Recognising and representing one’s self as distinct from others is a fundamental component of self-awareness. However, current theories of self-recognition are not embedded within global theories of cortical function and therefore fail to provide a compelling explanation of how the self is processed. We present a theoretical account of the neural and computational basis of self-recognition that is embedded within the free-energy account of cortical function. In this account one’s body is processed in a Bayesian manner as the most likely to be “me”. Such probabilistic representation arises through the integration of information from hierarchically organised unimodal systems in higher-level multimodal areas. This information takes the form of bottom-up “surprise” signals from unimodal sensory systems that are explained away by top-down processes that minimise the level of surprise across the brain. We present evidence that this theoretical perspective may account for the findings of psychological and neuroimaging investigations into self-recognition and particularly evidence that representations of the self are malleable, rather than fixed as previous accounts of self-recognition might suggest.

Key words: self-recognition, self-awareness, voice recognition, face recognition, body ownership, bayesian, free energy, predictive coding, prediction error, rubber hand illusion, enfacement

Open peer commentary on the article “Phenomenological Properties of Perceptual Presence: A Constructivist Grounded Theory Approach” by Aleš Oblak, Asena Boyadzhieva & Jure Bon. Abstract: Oblak et al. portray perceptual presence (PP) as an individually driven reflective operation. I question their account and suggest that PP involves a socially induced pre-reflective awareness of the lived environment. Within this primary framework, the wholeness of things is available to the subject, and deeper examination of perceived objects (if needed) comes to the fore.

The classical formulation of the object of ethics refers to a knowledge of the rules of the adaptation of the human species to their natural environments, to normative expectations supposed in the others and to the biographical evolution of the self. Accordingly, a doctrine of the duties was edified on three pillars, embracing a reference to the duties towards nature, towards the others and towards oneself. Notwithstanding the fact that human action obeys to a variety of factors including bio-physiological conditions and the dimensions of the social environment, ancient and modern metaphysical models of ethics favored the commendatory discourse about the predicates “right” and “wrong,” concurring to ultimate goals. The ethical discussions consisted chiefly in the investigation of the adequacy of the subordinate goals to the final ends of the human action or in the treatment of the metaphysical questions related to free will or determinism, the opposition of the intentionality of the voluntary conduct of man to the mechanical or quasi-mechanical responses of the inferior organisms or machines. From a “second order” approach to the ethical action and imperatives, I propose with this book a critical analysis of the metaphysical and the Kantian ethics. Relevance: In “Ethics and Second-Order Cybernetics” (1992) Heinz von Foerster referred the importance of the application of his notion of “second-order cybernetics” to ethics and moral reasoning. Initially, second-order cybernetics intended an epistemological discussion of recursive operations in non-trivial machines, which were able to include in their evolving states their own self-awareness in observations. The application of his views to ethics entails new challenges. After H. von Foerster essay, what I mean with “second-order ethics is an attempt to identify the advantages of the adoption of his proposal, some consequences in the therapeutically field and lines for new developments.

Key words: Ethics, moral discourse, commendations, second-order cybernetics, observer, objectivity

Context: For Graham Barnes, the starting point of his research was the observation that most psychotherapists are trained in a theory-centered style of practice, neglecting epistemological and hermeneutical aspects. The consequence is an absence of critical self-reflection about some basic assumptions of psychotherapy theories and clinical practices in the psychotherapy community. When using a particular theory, therapists forget that the theory is “using” them, as well, i.e., they are unaware of the effects the theory has on them and on their relationships with clients. As an alternative to this ignorance, Barnes developed the concept, research project and clinical application of what he called “second-order psychotherapy.” Problem: How can we encourage therapists to engage in systematic self-reflection on the influence of theory on the content and structure of their therapeutic conversations? Following Bateson’s epistemological guidelines, we give an example of how our conversation about understanding his ideas includes conversation about our understanding of the conversation about an understanding of his ideas. Method: Bateson created a new didactic form of dialogical presentation to facilitate the understanding of knowing, called a metalogue, in which the content and the structure of the conversation are intertwined in such a way that it becomes more transparent how the metalevel of relationships between the speakers influences the content and vice versa. Results: By presenting our dialogues as an exemplary metalogue, we propose that metalogues could be a valuable didactic way for promoting epistemological and constructivist teaching and learning, not only for psychotherapists, but for all professionals who need better understanding of their understanding. This second-order understanding opens the space for the inclusion of self-reflection on our relationship (and its evolution) and how our relationship has shaped our understanding. Implications: Our proposal is also meant as an encouragement for contemporary constructivist thinkers to continue to reflect on Bateson’s contribution to the foundation and evolution of constructivism.

Key words: Cybernetic epistemology, second-order psychotherapy, dialogotherapy, self-referential awareness, understanding, difference, schizophrenia, double bind, innocence