Ethnomathematics is a relatively new discipline that investigates mathematical knowl edge in small-scale, indigenous cultures. This essay locates ethnomathematics as one of five distinct subfields within a general anthropology of mathematics and describes interactions between cultural and epistemological features that have created these divisions. It reviews the political and pedagogical issues in which ethnomathematics research and practice is immersed and examines the possibilities for both conflict and collaboration with the goals, theories, and methods of social constructivism.

In this captivating book, Helen Verran addresses precisely that question by looking at how science, mathematics, and logic come to life in Yoruba primary schools.

A Volume in Cognition, Equity & Society: International Perspectives formally known as International Perspectives on Mathematics Education - Cognition, Equity & Society Series Editor Bharath Sriraman, The University of Montana and Lyn English, Queensland University of Technology The diversity of research in mathematics education has been addressed as both, a problem and a strength. When manifested through adherence to different intellectual roots and theoretical orientations, diversions constitute 'refractions' of mathematics education. The collection and analysis of empirical data in a study (...) are by necessity refracted through the specific analytical lens employed, as well as the aim of the study itself. Refractions can also refer to looking at old phenomena through new lenses. The chapters in this book are refracted through philosophical, political, mathematical and personal lenses by distinguished authors in the field, addressing issues about the elusive experience of doing mathematics, purification of texts, refractions, mathematics and ethnomathematics, political messages in textbook tasks, mathematics education policy debate, the political in mathematics education research, philosophy and mathematics, meanings and representations, identity of mathematical modeling, and dilemmas in the teaching of calculus. An ancient Sanskrit adage states that Knowledge is something that grows when shared, but shrinks when hoarded. Academics engaged in the generation of new Knowledge are blessed with both the time and the freedom to engage in pursuits that allow for intellectual pleasure. As a phenomenon of the Zeitgeist many have succumbed to the increased corporatization of academic work, engaging in activities for monetary and self advancement purposes. Are there any real intellectuals left in academia, a l Adorno, Bourdieu, Chomsky, Foucault, among others? This Festschrift is dedicated to academics that don't bother with self promotion or aggrandizement of themselves or their ideas in simplistic terms. (shrink)

Resumo: A pesquisa aqui apresentada resulta de uma reflexão sobre as epistemologias subalternas, sobretudo de matrizes africanas, tomando como exemplo a etnomatemática. O discurso filosófico sobre o “epistemicídio” dos saberes locais e tradicionais, por parte do paradigma científico dominante, pode ser aplicado a vários âmbitos disciplinares, entre os quais a matemática, nas suas duas vertentes principais, a aritmética e a geometria, que representa um caso paradigmático e significativo. Teorizada pela primeira vez pelo brasileiro D’Ambrosio e o holandês-moçambicano Paulus Gerdes, a (...) etnomatemática vive hoje uma contradição: ela foi aceite em termos epistemológicos, mas, especialmente em África, teve muitos problemas em se afirmar, entrando com dificuldades nos curricula oficiais. A pesquisa mostra como se deu tal processo, em Moçambique, um país símbolo do caminho da etnomatemática africana, em consideração da contribuição de Gerdes e da educação progressiva na primeira fase da sua independência.: This work aims at carrying out a reflection on the subaltern epistemologies, considering as an example the Ethnomathematics. The philosophical discourse on the “epistemicide of local and traditional knowledge by the dominant scientific paradigm can be aplied to various disciplinary fields. Among them it is possible to find Mathematics, in its two main branches, arithmetic and geometry. Mathematics represents a paradigmatic and meaningful case. It has been theorized for the first time by the Brazilian D’Ambrosio and the Dutch-Mozambican Paulus Gerdes, ethnomathematics is living today a contradiction: it was accepted in epistemological terms, but, especially in Africa, it registered many problems in assert itself, showing difficulties in being accepted in official curricula. The research shows how this process occurred in Mozambique, a symbolic country for African ethnomathematics, both in consideration of Gerdes’ contribution and of the progressive education during the first phase of its independence. (shrink)

In order for the valuable research published in the Anthropology of Consciousness (AoC) journal to have the impact it ought to have upon the anthropological mainstream, contributors must demonstrate that they appreciate the historical tradition of anthropology as an intellectual forebear. Although “ethnometaphysics” has been cited sporadically by anthropologists over the past half-century, it never really caught on as an interdisciplinary speciality like ethnobotany, ethnomusicology, and ethnomathematics. Pointing to the example of discord in the West between viewing psychoactive substances (...) as either “hallucinogens” or “entheogens,” I reassert ethnometaphysics in an aim to revamp the overlooked coining of this sub-field by anthropologist A. Irving Hallowell. Such a position rebrands SAC's alternative outlook in a way that could be seen by mainstream colleagues as less radical, thus giving the Society a more realistic opportunity to provoke progressive changes in the mainstream of our discipline. (shrink)

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)

It is a rather safe statement to claim that the social dimensions of the scientific process are accepted in a fair share of studies in the philosophy of science. It is a somewhat safe statement to claim that the social dimensions are now seen as an essential element in the understanding of what human cognition is and how it functions. But it would be a rather unsafe statement to claim that the social is fully accepted in the philosophy of mathematics. (...) And we are not quite sure what kind of statement it is to claim that the social dimensions in theories of mathematics education are becoming more prominent, compared to the psychological dimensions. In our contribution we will focus, after a brief presentation of the above claims, on this particular domain to understand the successes and failures of the development of theories of mathematics education that focus on the social and not primarily on the psychological. (shrink)