This paper argues that rationality and belief are mutually formative dimensions of school mathematics, where each term is more politically embedded than often depicted in the field of mathematics education research. School mathematics then presents not so much rational mathematical thought distorted by irrational beliefs but rather a particular…

In this volume, Wolff-Michael Roth provides a critical but partial reading of Tony Brown's book "Mathematics Education and Subjectivity". The reading contrasts Brown's approach with Roth's own conception of subjectivity as derived from the work of Vygotsky, in which Roth aims to "reunite" psychology and sociology. Brown's book, however, focuses on…

In underscoring the affective elements of mathematics experience, we work with contemporary readings of the work of Spinoza on the politics of affect, to understand what is included in the cognitive repertoire of the Subject. We draw on those resources to tell a pedagogical tale about the relation between cognition and affect in settings of…

Following Husserl's speculations on how geometry originated, we suggest that spatial perception is "seduced" by language as a result of human attempts to capture, signify and share its concepts. And this language traps geometry and humans themselves in to the forms that have guided and regulated past practices, thereby obscuring possibilities for…

Mathematics education research must enable adjustment to new conditions. Yet such research is often conducted within familiar conceptualisations of teaching, of learning and of mathematics. It may be necessary to express ourselves in new ways if we are to change our practices successfully, and potential changes can be understood in many…

This paper addresses the issue of subjectivity in the context of mathematics education research. It introduces the psychoanalyst and theorist Jacques Lacan whose work on subjectivity combined Freud's psychoanalytic theory with processes of signification as developed in the work of de Saussure and Peirce. The paper positions Lacan's subjectivity…

This paper examines a Special Issue of "Educational Studies in Mathematics" comprising research reports centred on Peircian semiotics in mathematics education, written by some of the major authors in the area. The paper is targeted at inspecting how subjectivity is understood, or implied, in those reports. It seeks to delineate how the conceptions…

This paper explores how the science of interpretation (hermeneutics) may offer an approach to describing the nature of how one develops understanding during mathematical activity. The discussion centers on personal interpretation and its interactive relationship between mathematics and mathematical activity without focusing upon the distinction…

Considers radical constructivism in light of poststructuralism and hermeneutic phenomenology and shows how this forces a reassertion of the teacher's role in the student's constructing of mathematical knowledge. (48 references) (Author/MKR)

Describes the mathematics classroom from the perspective of social phenomenology. Introduces a framework through which mathematical work is seen as taking place in the imagined world through the filter of the world in immediate perception. (Author/MKR)

Examines a theoretical perspective on the ways in which children progress in learning mathematics. Suggests that there is difficulty in associating teaching discourses with the mathematics they locate that can result in an incommensurability between alternative perspectives being offered. Resists attempts to privilege any particular account but…