The field of mathematics education has been fashioned by a diversity of theoretical and philosophical perspectives. The purpose of this study is to add to this field an analysis of the philosophical position of critical realism. To achieve this objective, the study addresses the following questions: what does critical realism have to offer mathematics education? How may critical realism underlabour for this discipline? In addressing these questions, the study provides an overview of the basic theories and the possible weak points (...) of and arguments against critical realism and realism in general. It then draws upon the notion of a dialectical phenomenology to provide a sequence of Achilles' heel critiques of some of the perspectives that constitute broadly the theoretical landscape of mathematics education research. This critique proceeds with an analysis of didactically oriented empiricism, hermeneutics, pragmatism, postmodernism, traditionally recognized forms of constructivism, traditionally recognized theories of activity, and ethnomathematics. The last section summarizes the implications of philosophical underlabouring for a more beneficial science of mathematics education. (shrink)

This essay calls attention to robust synergies between Roy Bhaskar’s philosophy of dialectical critical realism and Terrence W. Deacon’s recent investigation of the geo-historical emergence of ententional or teleological phenomena, as well as important differences. Deacon has independently arrived at an understanding of absence as causally efficacious in the emergence of life and consciousness, and deploys a range of other concepts that resonate with DCR. He develops a critique both of eliminativist and monovalent approaches to ententionality, on the one hand, (...) and their panpsychist foil, on the other, and elaborates a polyvalent scientific alternative – the theory of emergent dynamics. Though this theory is not without problems, as its immanent critique reveals – and indeed in part because of these – it opens up the prospect of a mutually illuminating dialogue between DCR and metaRealism, on the one hand, and the life sciences, on the other, in which DCR/mr underlabours for these sciences, which in turn feed back into DCR/mr philosophy and social theory, thereby helping to actualize the possibility of non-positivist naturalism. (shrink)