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Michael Baker Towards a Post-Eurocentric Mathematics and Science Education

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TOWARDS A POST-EUROCENTRIC MATHEMATICS & SCIENCE EDUCATION1 Eurocentrism and the Modern/Colonial Curriculum: A Critical Interpretive Review Michael Baker University of Rochester, New York, USA Table of Contents Introduction Methodological and Theoretical Rationale Eurocentrism as the Epistemic Framework of Colonial Modernity Towards a Post-Eurocentric Curriculum in Math & Science Education 41 Ethnomathematics 47 Ethnosciences 60 Conclusion: Towards an Epistemological Multiculturalism References 79 82 At the end of the colonial era, people began to ask the West what rights its culture, its science, its social organization and finally its rationality itself could have to laying claim to a universal validity: is it not a mirage tied to an economic domination and a political hegemony? (Foucault, 1991, p 12) Confronting Eurocentrism requires ultimately a confrontation of history and the project of modernity as a whole (Dirlik, 2002, p 8) Introduction Originally published as Eurocentrism and the Modern/Colonial Curriculum:Towards a Post-Eurocentric Math & Science Education – A Critical Interpretive Review, by Michael Baker, University of Rochester Unpublished Paper, 2009 https://www.academia.edu/1517810/Towards_a_Post_Eurocentric_Math_and_Science_Education_A_Critic al_Interpretive_Review Accessed 30 November 2020 This essay reviews literature in science and mathematics education that assumes the possibilities for knowing the realities of the world through the official curriculum are reductively maintained within a Eurocentric cultural complex (Carnoy, 1974; Swartz, 1992; Willinsky, 1998) Eurocentrism will be described as the epistemic framework of colonial modernity, a framework through which western knowledge enabled and legitimated the global imposition of one particular conception of the world over all others Eurocentrism is an ethnocentric projection onto the world that expresses the ways the west and the westernized have learned to conceive and perceive the world At the center of this ethnocentric projection are the control of knowledge and the maintenance of the conditions of epistemic dependency (Mignolo, 2000a) Every conception of the “world” involves epistemological and ontological presuppositions interrelated with particular (historical and cultural) ways of knowing and being All forms of knowledge uphold practices and constitute subjects (Santos, 2007a) What counts as knowledge and what it means to be human are profoundly interrelated (Santos, 2006) The knowledge that counts in the modern school curriculum, from kindergarten to graduate school, is largely constructed and contained within an epistemic framework that is constitutive of the monocultural worldview and ideological project of western modernity (Meyer, Kamens & Benavot, 1992; Wallerstein, 1997, 2006; Lander, 2002; Kanu, 2006; Kincheloe, 2008; Battiste, 2008) The monocultural worldview and ethos of western civilization are based in part upon structures of knowledge and an epistemic framework elaborated and maintained within a structure of power/knowledge relations involved in five hundred years of European imperial/colonial domination (Quijano, 1999, p 47) If our increasingly interconnected and interdependent world is also to become more and not less democratic, schools and teachers must learn to incorporate the worldwide diversity of knowledges and ways of being (multiple epistemologies and ontologies) occluded by the hegemony of Eurocentrism Academic knowledge and understanding should be complemented with learning from those who are living in and thinking from colonial and postcolonial legacies (Mignolo, 2000, p 5) Too many children and adults today (particularly those from non-dominant groups) continue to be alienated and marginalized within modern classrooms where knowledge and learning are unconsciously permeated by this imperial/colonial conception of the world The reproduction of personal and cultural inferiority inherent in the modern educational project of monocultural assimilation is interrelated with the hegemony of western knowledge structures that are largely taken for granted within Eurocentric education (Dei, 2008) Thus, in the field of education, “we need to learn again how five centuries of studying, classifying, and ordering humanity within an imperial context gave rise to peculiar and powerful ideas of race, culture, and nation that were, in effect, conceptual instruments that the West used both to divide up and to educate the world” (Willinsky, 1998, pp 2-3) The epistemic and conceptual apparatus through which the modern world was divided up and modern education was institutionalized is located in the cultural complex called “Eurocentrism” Western education institutions and the modern curriculum, from the sixteenth century into the present, were designed to reproduce this Eurocentric imaginary under the sign of “civilization” (Grafton & Jardine, 1986; Butts, 1967, 1973) Eurocentric knowledge lies at the center of an imperial and colonial model of civilization that now threatens to destroy the conditions that make life possible (Lander, 2002, p 245) From a post-Eurocentric interpretive horizon (described below), the present conditions of knowledge are embedded within a hegemonic knowledge apparatus that emerged with European colonialism and imperialism in the sixteenth century (Philopose, 2007; Kincheloe, 2008) Based upon hierarchical competition for power, control, and supremacy among the “civilized” nation-states, imperialism is an original and inherent characteristic of the modern western interstate system that emerged with the formation of sovereign European territorial states in the sixteenth and seventeenth centuries (Wallerstein, 1973; Gong, 1984 ; Hindness, 2005; Agnew, 2003; Taylor & Flint, 2000) Closely interrelated with imperialism, colonialism involves a civilizing project within an ideological formation established to construct the way the world is known and understood, particularly through the production, representation, and organization of knowledge (Mignolo, 2000a; Kanu, 2006) Colonialism reduces reality to the single dimension of the colonizer Colonialism and imperialism impose on the world one discourse, one form of conscience, one science, one way of being in the world “Post-colonial analysis leads to a simple realization: that the effect of the colonizing process over individuals, over culture and society throughout Europe’s domain was vast, and produced consequences as complex as they are profound” (Ashcroft, 2001a, p 24) In yet to be acknowledged ways, the Eurocentric curriculum, and western schooling in general, are profoundly interrelated with both modern imperialism and colonialism The persistence and continuity of Eurocentrism rather leads one to see it as a part of a habitus of imperial subjectivity that manifests itself in a particular kind of attitude”: the European attitude – a subset of a more encompassing “imperial attitude.” The Eurocentric attitude combines the search for theoria with the mythical fixation with roots and the assertion of imperial subjectivity It produces and defends what Enrique Dussel has referred to as “the myth of modernity” (Maldonado-Torres, 2005b, p 43) Western schooling reproduces this “Eurocentric attitude” in complicity with a globalized system of power/knowledge relations, tacitly based upon white heterosexual male supremacy (Kincheloe, 1998; Allen, 2001; Bonilla-Silva, 2001, 2006; Twine & Gallagher, 2008; Akom, 2008a, 2008b) Eurocentrism is a hegemonic representation and mode of knowing that relies on confusion between abstract universality and concrete world hegemony (Escobar, 2007; Dussel, 2000; Quijano, 1999, 2000) Worldwide imperial expansion and European colonialism led to the late nineteenth century worldwide hegemony of Eurocentrism (Quijano, 2005, p 56) Eurocentrism, in other words, refers to the hegemony of a (universalized) Euro-Anglo-American epistemological framework that governs both the production and meanings of knowledges and subjectivities throughout the world (Schott, 2001; Kincheloe, 2008) Eurocentrism is an epistemological model that organizes the state, the economy, gender and sexuality, subjectivity, and knowledge (Quijano, 2000) The production of Eurocentrism is maintained in specific political, economic, social and cultural institutions and institutionalized practices that began to emerge with the colonization of the Americas in the sixteenth century The nation-state, the bourgeois family, the capitalist corporation, Eurocentric rationality, and western educational institutions are all examples of worldwide institutions and institutionalized practices that contribute to the production of Eurocentrism (Quijano, 2008, pp 193-194) Eurocentrism as a historical phenomenon is not to be understood without reference to the structures of power that EuroAmerica produced over the last five centuries, which in turn produced Eurocentrism, globalized its effects, and universalized its historical claims Those structures of power include the economic (capitalism, capitalist property relations, markets and modes of production, imperialism, etc.) the political (a system of nation-states, and the nation-form, most importantly, new organizations to handle problems presented by such a reordering of the world, new legal forms, etc.), the social (production of classes, genders, races, ethnicities, religious forms as well as the push toward individual-based social forms), and cultural (including new conceptions of space and time, new ideas of the good life, and a new developmentalist conception of the life-world) (Dirlik, 1999, p 8) Eurocentric thinking is embedded in the concepts and categories through which the modern world has been constructed “The West defines what is, for example, freedom, progress and civil behavior; law, tradition and community; reason, mathematics and science; what is real and what it means to be human The non-Western civilizations have simply to accept these definitions or be defined out of existence” (Sardar, 1999, p 44) The mostly taken-for-granted definitions and conceptual boundaries of the academic disciplines and school subjects such as “philosophy”, “math”, “science”, “history”, “literature”, “literacy”, “humanities”, “education” are all Eurocentric constructions If Eurocentrism is intrinsic in the way we think and conceptualize, it is also inherent in the way we organize knowledge Virtually all the disciplines of social sciences, from economics to anthropology, emerged when Europe was formulating its worldview, and virtually all are geared to serving the need and requirements of Western society and promoting its outlook Eurocentrism is entrenched in the way these disciplines are structured, the concepts and categories they use for analysis, and the way progress is defined with the disciplines (Joseph et al 1990) (Sardar, 1999, p 49) This hegemonic knowledge formation envelops the modern school curriculum within an imperial/colonial paradigm legitimated by the rhetoric of modernity (i.e., equal opportunity, mobility, achievement gap, meritocracy, progress, development, civilization, globalization) Western education (colonial and metropolitan) reproduces imperial/colonial, monocultural, and deluded conceptions of and ways of being in the world (Mignolo, 2000a; Kincheloe, 2008) “The effect of Eurocentrism is not merely that it excludes knowledges and experiences outside of Europe, but that it obscures the very nature and history of Europe itself” (Dussel, 1993) Understanding Eurocentrism thus involves recognizing and denaturalizing the implicitly assumed conceptual apparatus and definitional powers of the west (Sardar, 1999, p 44; Coronil, 1996) Individually, understanding Eurocentrism may also involve the experience of disillusionment and culture shock as one begins to demythologize the dense mirage of modernity Yet, today, in the academic field of education, “Eurocentrism” is commonly understood as a cultural perspective among political conservatives who ascribe to the superiority of western contributions (e.g., scientific, cultural and artistic) to world civilization that in turn justify the continued exclusion of non-European cultures and knowledges in the curriculum (Collins & O’Brien, 2003) Understanding Eurocentrism as a conservative perspective on western culture and education ignores the historical claim that Eurocentrism is the framework for the production and control of knowledge – that Eurocentrism is the way the “modern” world has been constructed as a cultural projection For many of us educated in the western tradition – within this still dominant epistemological framework a Eurocentric worldview may be all we know We may not recognize that our enlightened, liberal versus conservative, university educated ways of thinking, knowing, and being are a reflection of a particular historical-culturalepistemological world-view, different from and similar to a variety of other equally valid and valuable ways of knowing and being (Santos, 2007; Battiste, 2008) In other words, if we are “well educated”, we conceive, perceive, interpret, know, learn about, and (re)produce knowledge of the “world” through an ethnocentric cultural projection known as “Eurocentrism” (Ankomah, 2005) This review begins therefore by situating Eurocentrism within the historical context of its emergence – colonial modernity – and proceeds to define Eurocentrism as the epistemic framework of colonial modernity From this decolonial (or postEurocentric) historical horizon and framing of Eurocentrism, the second part will frame and review literature on the critique of Eurocentrism within mathematics and science education that represent alternatives to the hegemony of western knowledge in the classroom This literature was searched for and selected because it provides critiques of Eurocentrism that include specific proposals for de-centering and pluralizing the school curriculum The review concludes by summarizing, situating, and appropriating these two school subject proposals within a vision for a post-Eurocentric curriculum In framing, selecting, and reviewing literature that challenges and reconceptualizes the underlying Eurocentric assumptions of the modern school curriculum, this literature review adopts from critical philosophical (Haggerson, 1991), interpretive (Eisenhardt, 1998), and creative process approaches (Montuori, 2005) The rationale for this two-part organization, as well as the type of review this rationale calls for deserve further clarification, before analyzing the historical context of Eurocentrism Methodological and Theoretical Rationale Conventional literature reviews seek to synthesize ideas as overviews of knowledge to date in order to prefigure further research (Murray & Raths, 1994; Boote & Beile, 2005) Eisenhardt (1998) however, describes another purpose of literature reviews as interpretive tools to “capture insight ….suggesting how and why various contexts and circumstances inform particular meanings and reveal alternative ways of making sense (p 397) Following Eisenhardt’s description, this unconventional literature review is intended to situate and review an emergent literature on a post-Eurocentric curriculum within an historical analysis of Eurocentrism A post-Eurocentric interpretive horizon is described that provides an alternative way of making sense of the curriculum literature Eurocentric modernity is the historical context within which the modern curriculum is conceived Most uses of term Eurocentrism within the curriculum literature have yet to include analyses of the origins and meaning of Eurocentrism within the history and project of modernity This lack of recognition and analysis of the historical context of Eurocentrism contributes to both incoherence and impotency in the use of this critical concept (for examples see Mahalingam, 2000; Gutierrez, 2000; Aikenhead & Lewis, 2001) The concepts Eurocentrism and post-Eurocentrism offer contrasting paradigms through which the curriculum can be evaluated in relation to whether teaching and learning reproduces or decolonizes the dominant modern/colonial system of power/knowledge relations The successful development and implementation of a postEurocentric curriculum is dependent upon an adequate historical-philosophical interpretation of Eurocentrism As such, this literature review adopts elements from the critical philosophical, interpretive, and creative process approaches (Haggerson, 1991; Eisenhardt, 1999; Livingston, 1999; Meacham, 1998; Schwandt, 1998; Montuori, 2005) Eisenhardt describes interpretive reviews as presenting information that “disrupts conventional thinking” and seeks to “reveal alternative ways of making sense” (Eisenhardt, 1999, p 392, 397) Haggerson’s critical philosophical inquiry attempts to give meaning and enhance understanding of activities and institutions, bringing their norms of governance to consciousness, and finding criteria by which to make appropriate judgments (Haggerson, 1991) Montouri’s creative process model includes problematizing the underlying presuppositions of a field of inquiry along with creating new frameworks for reinterpreting bodies of knowledge (Montouri, 2005) This review does not describe and compare different perspectives This review instead presents an alternative, post-Eurocentric framework for reinterpreting the modern Eurocentric curriculum, with a specific focus on math and science education This post-Eurocentric framework provides an alternative way of thinking about school knowledge whereby the entire spectrum of different perspectives can be re-viewed in relation to each other One purpose of this literature review is to situate and describe contemporary critiques of Eurocentrism in mathematics and science education that contribute to the creation of a post-Eurocentric science and mathematics curriculum This review begins therefore by characterizing Eurocentrism as the epistemic framework of colonial modernity from a post-Eurocentric interpretive horizon This analysis of Eurocentrism from a post-Eurocentric interpretive horizon is a necessary precondition to selecting and framing any school subject critiques that aim to contribute to a curriculum no longer contained within the epistemic framework of colonial modernity A post-Eurocentric interpretive horizon and curriculum are possible through an analysis of Eurocentrism that escapes its constitutive relations with the boundaries and conceptual presuppositions of modernity A second purpose of this review then is to layout a decolonial critique of Eurocentrism in relation to the modern curriculum from a post-Eurocentric interpretive horizon A decolonial critique of Eurocentrism involves a confrontation with the history and project of modernity (Dirlik, 2002; 2007) If Eurocentrism is an expression of the conceptual apparatus that created the modern worldview (western historical consciousness of the present), then Eurocentrism cannot be adequately understood from within this worldview alone The widespread assumption in our day that Eurocentrism may be spoken or written away, …… rests on a reductionalist culturalist understanding of Eurocentrism Rendering Eurocentrism into a cultural phenomenon that leaves unquestioned other locations for it distracts attention from crucial ways in which Eurocentrism may be a determinant of a present that claims liberation from the hold on it of the past What is at issue is modernity, with all its complex constituents, of which Eurocentrism was the formative moment Just as modernity is incomprehensible without reference to Eurocentrism, Eurocentrism as a concept is specifiable only within the context of modernity (Dirlik, 1999, pp 1-2) So Eurocentrism cannot be adequately understood separate from its formation within the history of western modernity Yet Eurocentrism is the “formative moment” of modernity Most theories of modernity in fact, interpret the history and meaning of modernity from within the perspective of modernity itself, from within the historical horizon of Eurocentric consciousness (Mignolo, 2000a; Mignolo & Tlostanova, 2008) The idea of modernity, first of all, has been conceived from the perspective of European history and has been framed based on the historical process and subjective experience of Western European countries and people – more specifically, on the complicity between Western Christiandom and the emergence of capitalism as we know it today Europe and modernity have become synonymous and essential components of modern European identity (Mignolo & Tlostanova, 2008, p 113) In recent years the history of western modernity has been interpreted from the perspective of the history of colonial power/knowledge relations (Mignolo & Tlostanova, 2008; Escobar, 2007; Dussel, 2000; Quijano, 2000) This recent reframing opens up a more global account of modernity that contributes to a more historical and critical understanding of Eurocentrism As the epistemic framework through which knowledge and understanding are colonized, Eurocentrism must to be adequately understood and clarified in order to think beyond its conceptual and epistemic boundaries Eurocentrism as the Epistemic Framework of Colonial Modernity Until 1960s, the Eurocentric interpretation of modernity was the largely unquestioned cultural-narrative background in the social and political imaginary of the modern/colonial world-system “Imaginary” here refers to the ways a culture has of perceiving and conceiving itself and the world The modern/colonial world system is a socio-historical structure that comprises the dominant imaginary and material constructions of the modern historical period, from 1492 to the present Occidentalism became the dominant cultural imaginary of the modern/colonial world system in the sixteenth and seventeenth centuries Orientalism became the hegemonic cultural imaginary when the image of the “heart of Europe” (England, France, Germany) replaced the “Christian Europe” of the fifteenth to mid-seventeenth century (Italy, Spain, Portugal) (Mignolo, 2000a) Broadly conceived, European civilizational and modernization processes constructed the dominant intersubjective and material conditions that constituted these two interrelated imaginaries The variety of modern knowledge disciplines, and particularly the field of education, (with their historical and intimate interrelations with the state, the economy, and ethnocentric nationalism), are maintained within this macronarrative of western civilization Self-serving institutionalized academic disciplinary boundaries, unexamined nationalist ideologies in scholarship, and insufficient comparative research across the social sciences and humanities have all contributed to a lack of critical awareness of the presence and limits of this civilizational narrative in the historical consciousness of western modernity (Taylor, 1999; 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(1971) Knowledge and control: New directions for the sociology of educationl London: Collier-Macmillan Young, Robert J.C (2001) Postcolonialism: An historical introduction Malden, MA: Blackwell Publishers 101 ... curriculum Ethnomathematics thus began from a growing awareness among mathematicians of the social, cultural, political, and historical aspects of mathematics and math education Although for a long time... social justice and cultural relevance rationales behind particular teaching practices associated with “ethnomathematics,” conservative educational historian Diane Ravitch reasserts the familiar assumptions... The fact that European colonialism always operated both internally and externally, and, that there was ongoing reciprocal borrowing of educational policies and practices between metropolitan and

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