Ethical Erasure
Author(s):
Jude Ocean (presenting / submitting)
Conference:
ECER 2017
Format:
Paper

Session Information

28 SES 10 B, Cross-Cultural Research and Educational Studies

Paper Session

Time:
2017-08-24
15:30-17:00
Room:
K4.20
Chair:
Gyöngyvér Pataki

Contribution

The claim that school mathematics is detached from human interests or consideration has long been critiqued (Bishop 1991, Powell & Frankenstein, 1997). The critical theorists Ernest, Greer and Sriraman (2009) argue that mathematics education is culturally and politically situated, rooted in human values and human experience. But which interests and whose experience? Who is counting and who counts? The Danish philosopher Ole Skovsmose (2012), warning that a mathematical rationality should not be blindly celebrated, argues that school mathematics has a disciplinary function in training for order, efficiency, and obedience in following procedure. Conditioning for what he calls  ‘prescription-readiness’, it privileges technicist imperatives over ethical and social considerations. In performing calculations,  social, personal and moral considerations are diminished or dismissed when they are difficult to quantify. Skovsmose (2008) calls this reductionism in school mathematics ‘ethical filtration’ or ‘ethical erasure’.

Skovsmose (2008) notes that engineering education is often detached from ethical considerations. In engineering, different research groups focus on tricky but separate problems, ignoring the fact that their solutions might serve as part of an overall military research programme; that the ethical problems might not be addressed at all is not noticed. Dissection of the curriculum is a general phenomenon within engineering education (Skovsmose, 2012). Skovsmose accounts for two further ways in which mathematics produces ethical erasure. First, the reframing of the ethical as the personal along with a contingent dismissal of the personal as trivial. Second, the disposal of ethical considerations entirely so that calculations come to be positioned as ‘value-free’, as ‘neutral’. In mathematics, then, ethical objections become reframed as ‘personal problems’, as ‘taken care of somewhere else’, and/or as irrelevant to the ‘value-free’ space of mathematics. Consequently, students who are conditioned to the diminishment or disposal of the ethical, come to associate the sanctioned discard of ethical questions with mathematics.  Thus, ethical disposal comes to be re-positioned as a different ‘truth’, that of the ‘neutrality’ and ‘objectivity’ of the discipline.

The form of mathematics education known as ‘traditionalist’ or ‘absolutist’ (Stemhagen, 2009) is characterised by the relative absence of ethical considerations, a ‘dissected curriculum’ and the absence of the personal. Despite the importance of passion, beauty and elegance to the work of practicing mathematicians (Landri 2007), the traditionalist takes a dry approach, with a fundamental belief in mathematics as a bastion of certainty and rigor (Stemhagen, 2009). Supporters of absolutist mathematics are led to believe that their own role as individuals is merely to receive, reproduce or transmit knowledge as accurately as possible (Ernest 2002). Similarly, De Freitas (2008) argues that traditional/absolutist mathematics re/produces a discipline of mastery and submission. Yet the absolutist model still prevails in many classrooms in Europe and the USA, despite the low level of mathematical competence it produces in comparison to a constructivist ‘reform’ approach (see Boaler, Altendorff & Kent, 2011) and despite the availability of models for ethical pedagogies in mathematics (see Boaler, 2008 and García-Carrión & Diez Paloma, 2015).

During the last 200 years, in France and the USA and in countries in which they have influence, the discourse of absolutist mathematics descended from military engineering to civil engineering to school mathematics. This link between the military and mathematics has remained below the threshold of visibility, due to its little-known history (Ocean & Skourdoumbis, 2016). Practices such as commands and obedience, following rules without question, silence, surveillance, competition, testing and ranking reflect the military education discourse of the 19th century and the discursive practices of 21st century school mathematics. These practices continue to condition for compliance and normalise ethical erasure in school mathematics in current times. 

Method

This paper presents a theoretical argument rather than an empirical study. The methodology employed is that of genealogy informed by a Foucauldian perspective. Foucault suggests that a starting point for doing genealogies should be to focus on a particular problem then try to see it in its historical dimension, in order not to find a truth but to question the intelligibility of truths we have come to take for granted (Graham 2011). The starting point for this paper is the prevalence of ethical erasure in absolutist mathematics, as identified by Skovsmose (2008, 2012). Meadmore, Hatcher and McWilliam (2000) describe descent and emergence as mapping both the demands and boundaries of genealogy as a methodological approach. The analysis of descent traces many beginnings/emergences, potentially uncovering links that might lead to new understandings. An historical trace through the sociology of engineering (Hacker, 1989) and through the work of military historians such as Dupuy (1958) revealed emergences/events that informed this argument. These are briefly presented in the Results section but will be discussed more fully in the presentation. The methodology of this paper also makes use of the Foucauldian notion of discourse. A discourse’s ‘grammatical’ rules define who can speak, who can be spoken to, and what can be ‘said’, as well as who and what must remain silenced. Discourses thus impose limits and establish relations of power within the culture; and we all learn them, even though they may restrict or deprive us in certain ways … they also provide us with the very mechanisms by which we view the world, interpret and ‘think’ it (Buchbinder, 1994). This paper traces the discourse of military or absolutist mathematics from the French Ecole Polytechnique through the United States Military Academy at West Point to public schools in the USA and in countries influenced by the USA and by France. The paper presents the possibility that a military legitimisation of absolutist mathematics still reassures of its worth in current times.

Expected Outcomes

Two hundred years after a military discourse emerged in mathematics, even successful mathematics students attribute their success to conformance, compliance, and lack of agency (Boaler & Greeno 2000). How is it that this military discourse in mathematics has remained in play? Two contingencies or emergences in the history of mathematics are relevant. The first is the adoption by military teachers at France’s Ecole Polytechnique and the USA’s West Point Military Academy in the late 18th/early 19th centuries of (then) new pedagogical practices. The Americans had visited and copied the French, even to the point of requiring cadets to read French-language mathematics textbooks (Dupuy, 1958). Rules and obedience were central: preparation of assignments was a military duty with no exceptions (Dupuy 1958). Unremitting surveillance was placed on students’ every moment (Hacker, 1989). Competitive mathematics tests accounted for 72% of the mid-century West Point failures (Hacker, 1983). Cadets were taught in ‘like-ability’ groups, graded daily and moved groups each month according to the rank generated by their grades (Hacker, 1989). Secondly, military engineers took employment in universities and high schools as mathematics educators during the accelerating development of public education in the mid-19th century. By 1860 in the USA, West Point graduates filled 40 chairs as Professors of Mathematics and 16 chairs as Professors of Civil Engineering (Hacker 1989). At a time when there was no standardised curriculum or assessment in either colleges or high schools (Ellerton & Clements 2012), military personnel who took positions as mathematics teachers in public schools re-produced the military discourse in which they had been trained. These historical events map the emergence of a corps of tightly controlled, rule-following, regimented military engineers taking positions as mathematics educators in schools and universities, embedding a military education discourse into public democratic education.

References

• Bishop, A. (1991). Mathematical enculturation: A cultural perspective on mathematics education (Vol. 6). Springer Science & Business Media. • Boaler, J. (2008). Promoting ‘relational equity’ and high mathematics achievement through an innovative mixed‐ability approach. British Educational Research Journal, 34(2), 167-194. • Boaler, J., Altendorff, L., & Kent, G. (2011). Mathematics and science inequalities in the United Kingdom: when elitism, sexism and culture collide. Oxford Review of Education, 37(4), 457-484. • Boaler, J. and Greeno, J.G. (2000). Identity, agency, and knowing in mathematics worlds. Multiple perspectives on mathematics teaching and learning. Westport, CT, 171-200. • Buchbinder, D. (1994). Masculinities and identities. Melbourne, Victoria : Melbourne University Press . • De Freitas, E. (2008) Mathematics and its other: (dis)locating the feminine. Gender and Education, 20 (3), pp 281–290. • Dupuy, R. E. (1958). Sylvanus Thayer : Father of technology in the United States. West Point, NY, Association of Graduates. • Ellerton, N. & Clements., M.A. (Ken) (2012). Rewriting the history of school mathematics in North America 1607-1861. Dordrecht, Springer. • Ernest, P. (2002). Empowerment in mathematics education. Philosophy of mathematics education journal, 15(1), 1-16. • Ernest, P., Greer, B., & Sriraman, B. (2009). Critical issues in mathematics education (Vol. 6). IAP. • Graham, L. J. (2011). The Product of text and ‘other’ statements: Discourse analysis and the critical use of Foucault. Educational Philosophy and Theory,43(6), 663-674. • Hacker, S.L. (1989). Pleasure, power and technology; Some tales of gender, engineering, and the cooperative workplace. Unwin Hyman, Boston, MA. • Landri, P. (2007). The pragmatics of passion: A sociology of attachment to mathematics. Organization, 14(3), 413-435. • Meadmore, D., Hatcher, C., & McWilliam, E. (2000). Getting tense about genealogy. International Journal of Qualitative Studies in Education, 13(5), 463-476. • Ocean, J., & Skourdoumbis, A. (2016). Who's counting? Legitimating measurement in the audit culture. Discourse: studies in the cultural politics of education, 37(3), p 442-456. • Powell, A. B., & Frankenstein, M. (Eds.). (1997). Ethnomathematics: Challenging Eurocentrism in mathematics education (p. 63). Albany, NY: State University of New York Press. • Skovsmose, O. (2008). Mathematics education in a knowledge market: Developing functional and critical competencies. In Opening the Research Text (pp. 159-188). Springer US. • Skovsmose, O. (2012). Towards a critical mathematics education research programme? In Skovsmose, O., & Greer, B. (Eds.). Opening the Cage (pp. 343-368). Sense Publishers. • Stemhagen, K. (2009). Social justice and mathematics: Rethinking the nature and purposes of school mathematics. Critical issues in mathematics education, 337-350.

Author Information

Jude Ocean (presenting / submitting)
RMIT University
Education
Melbourne

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