What evolutionary account explains our capacity to reason mathematically? Identifying the biological provenance of mathematical thinking would bear on education, because we could then design learning environments that simulate ecologically authentic conditions for leveraging this universal phylogenetic inclination. The ancient mechanism coopted for mathematical activity, I propose, is our fundamental organismic capacity to improve our sensorimotor engagement with the environment by detecting, generating, and maintaining goal-oriented perceptual structures regulating action, whether actual or imaginary. As such, the phenomenology of grasping a mathematical notion is literally that – gripping the environment in a new way that promotes interaction. To argue for the plausibility of my thesis, I first survey embodiment literature to implicate cognition as constituted in perceptuomotor engagement. Then, I summarize findings from a design-based research project investigating relations between learning to move in new ways and learning to reason mathematically about these conceptual choreographies. As such, the project proposes educational implications of enactivist evolutionary biology.

Key words: constructivism, design, education, enactivism, mathematics

Excerpt: The objective of this chapter is to outline the embodiment approach, explain how it contributes to our understanding of learning, and propose and exemplify how this understanding informs the design of STEM learning environments.

“Are living beings extended autopoietic systems? An embodied reply,” makes the case for grounding the autopoietic definition of living beings to the discrete bodies of organisms rather than to autopoietic systems that extend beyond the organisms into their environments. They attempt this grounding by amending a clause to the original formulation of autopoiesis that identifies living beings with their bodies, and then they explicitly define “bodies”. This commentary makes the case that bodily grounding can be derived from molecular autopoiesis by taking the molecular domain seriously, and no new amendment is required.

Key words: autopoiesis, embodiment, organisms.

Many cognitive scientists have recently championed the thesis that cognition is embodied. In principle, explicating this thesis should be relatively simple. There are, essentially, only two concepts involved: cognition and embodiment. After articulating what will here be meant by ‘embodiment’, this paper will draw attention to cases in which some advocates of embodied cognition apparently do not mean by ‘cognition’ what has typically been meant by ‘cognition’. Some advocates apparently mean to use ‘cognition’ not as a term for one, among many, causes of behavior, but for what has more often been called “behavior.” Some consequences for this proposal are considered.

Key words: Behavior, Chemero, Chomsky, Clark, Cognition, Dennett, Embodied Cognition, Haugeland, Maturana, Skinner

This article considers W. Ross Ashby’s ideas on the nature of embodied minds, as articulated in the last five years of his career. In particular, it attempts to connect his ideas to later work by others in robotics, perception and consciousness. While it is difficult to measure his direct influence on this work, the conceptual links are deep. Moreover, Ashby provides a comprehensive view of the embodied mind, which connects these areas. It concludes that the contemporary fields of situated robotics, ecological perception, and the neural mechanisms of consciousness might all benefit from a reconsideration of Ashby’s later writings.

Key words: representation, embodiment, cognition, information theory, requisite variety

The key problem of cultural psychology comprises a paradox: while people believe they act on the basis of their own authentic experience, cultural psychologists observe their behavior to be socially patterned. It is argued that, in order to account for those patterns, cultural psychology should take human experience as its analytical starting point. Nevertheless, there is a tendency within cultural psychology to either neglect human experience, by focusing exclusively on discourse, or to consider the structure of this experience to originate in an already produced cultural order. For an alternative approach, we turn to the enactive view of cognition developed by Humberto Maturana and Francisco Varela. Their theory of autonomy can provide the epistemological basis for a cultural psychology that explains how experience can become socially patterned in the first place. Cultural life forms are then considered as consensually coordinated, embodied practices.

Key words: cultural psychology, embodiment, enactivism, epistemology, experiential reality

This study describes an example of design-based research in which we make theoretical improvements in our understanding, in part based on empirical work, and use these to revise our curriculum and, simultaneously, our evolving theory of the relations between contexts and disciplinary formalisms. Prior to this study, we completed a first cycle of design revisions to a game-based ecological sciences curriculum to make more apparent specific domain concepts associated with targeted learning standards. Of particular interest was using gaming principles to embed standards-based science concepts in the curricular experience without undermining the situative embodiment central to our design philosophy. In Study One reported here, the same first-cycle elementary teacher used the refined second-cycle curriculum, again with high-ability fourth graders. We then analyzed qualitative and quantitative data on student participation and performance to further refine our theory and revise the curriculum. In Study Two, another teacher implemented a further refined second-cycle curriculum with lower achieving fourth graders, including several students labeled as having special needs. We use the design trajectory and results to illustrate and warrant the creation of a situationally embodied curriculum that supports the learning of specific disciplinary formalisms.

Dynamicism has provided cognitive science with important tools to understand some aspects of “how cognitive agents work” but the issue of “what makes something cognitive” has not been sufficiently addressed yet and, we argue, the former will never be complete without the latter. Behavioristic characterizations of cognitive properties are criticized in favor of an organizational approach focused on the internal dynamic relationships that constitute cognitive systems. A definition of cognition as adaptive-autonomy in the embodied and situated neurodynamic domain is provided: the compensatory regulation of a web of stability dependencies between sensorimotor structures is created and pre served during a historical/developmental process. We highlight the functional role of emotional embodiment: internal bioregulatory processes coupled to the formation and adaptive regulation of neurodynamic autonomy. Finally, we discuss a “minimally cognitive behavior program” in evolutionary simulation modeling suggesting that much is to be learned from a complementary “minimally cognitive organization program”

Key words: minimal cognition, adaptive autonomy, neurodynamic organization, cognition-as-it-could-be, emotional embodiment

Increasing evidence suggests that mundane knowledge about objects, people, and events is grounded in the brain’s modality-specific systems. The modality-specific representations that become active to represent these entities in actual experience are later used to simulate them in their absence. In particular, simulations of perception, action, and mental states often appear to underlie the representation of knowledge, making it embodied and situated. Findings that support this conclusion are briefly reviewed from cognitive psychology, social psychology, and cognitive neuroscience. A similar representational process may underlie religious knowledge. In support of this conjecture, embodied knowledge appears central to three aspects of religious experience: religious visions, religious beliefs, and religious rituals. In religious visions, the process of simulation offers a natural account of how these experiences are produced. In religious beliefs, knowledge about the body and the environment are typically central in religious frameworks, and are likely to affect the perception of daily experience. In religious rituals, embodiments appear central to conveying religious ideas metaphorically and to establishing them in memory. To the extent that religious knowledge is like non-religious knowledge, embodiment is likely to play central roles.

Notions of embodiment, situatedness, and dynamics are increasingly being debated in cognitive sci ence. However, these debates are often carried out in the absence of concrete examples. In order to build intuition, this paper explores a model agent to illustrate how the perspective and tools of dynam ical systems theory can be applied to the analysis of situated, embodied agents capable of minimally cognitive behavior. Specifically, we study a model agent whose “nervous system” was evolved using a genetic algorithm to catch circular objects and to avoid diamond-shaped ones. After characterizing the performance, behavioral strategy and psychophysics of the best-evolved agent, its dynamics are analyzed in some detail at three different levels: (1) the entire coupled brain/body/environment sys tem; (2) the interaction between agent and environment that generates the observed coupled dynam ics; (3) the underlying neuronal properties responsible for the agent dynamics. This analysis offers both explanatory insight and testable predictions. The paper concludes with discussions of the overall picture that emerges from this analysis, the challenges this picture poses to traditional notions of rep resentation, and the utility of a research methodology involving the analysis of simpler idealized mod els of complete brain/body/environment systems.

Key words: dynamics, minimally-cognitive behavior, categorical perception