This article addresses the question of the coherence of enactivism as a research perspective by making a case study of enactivism in mathematics education research. Main theoretical directions in mathematics education are reviewed and the history of adoption of concepts from enactivism is described. It is concluded that enactivism offers a ‘grand theory’ that can be brought to bear on most of the phenomena of interest in mathematics education research, and so it provides a sufficient theoretical framework. It has particular (...) strength in describing interactions between cognitive systems, including human beings, human conversations and larger human social systems. Some apparent incoherencies of enactivism in mathematics education and in other fields come from the adoption of parts of enactivism that are then grafted onto incompatible theories. However, another significant source of incoherence is the inadequacy of Maturana’s definition of a social system and the lack of a generally agreed upon alternative. (shrink)

This paper offers an introduction to the philosophy and science of embodied learning, conceived as both the stabilizing and expansionary process that sustains order and novelty within learners’ worlds enacted through observing and describing. Embodied learning acknowledges stability and change as the purposeful conjoined characteristics that sustain learners. It is, in many respects, a composite theory that represents work from various disciplines. This ‘naturalized epistemology’ conceives a world of fact inevitably imbued with the values that our own structural histories guarantee (...) us observers, whether acknowledged or not within our reflective awareness. These values, however, are not simple sets of preferences, for they are constituted in our individual learning histories that, for good or bad, influence the course of future learning. This conservational element of our condition is only half the story, however. The more radical aspect resides in the expansionary capacity of embodied observers to change, to enact worlds that are not pre‐given but, rather, brought forth by learners as observers and describers. Furthermore, embodied learning seeks a grounding for understanding in the often‐unexplored epistemological terrain between positivist absolutism or its mirrored polar opposite, postmodern nihilism. Its epistemological stance derives from its ontology, which is grounded in the profound obviousness that ‘everything said is said by someone’. (shrink)