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Assessment in Mathematics Education: A Gatekeeping Dispositive

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Abstract

This chapter aims at shedding light on a governing assessment dispositive in mathematics education, which effects that some students are provided with affordances to learn and engage in mathematics, while others are not. Through such a dispositive, the system of school is governing the act of gatekeeping and selection of students, which is contradictory to what is stated in official documents. While drawing on findings from previous classroom studies and action research, a tentative assessment dispositive is presented. It consists of different assessment discourses for students to experience, or not, affordances for learning mathematics; and regulatory decisions which affect assessment practices on classroom level. The purpose of presenting such a dispositive is twofold: (a) to contribute to an understanding of how such an assessment dispositive may look like; and (b) to provide a starting point for further research and discussions among teachers, students, and decision makers.

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Notes

  1. 1.

    Inspiration for adopting a Foucauldian perspective on such “small elements” as a mathematics classroom , can, among others, be found in the work of Walkerdine (1988) who construed a “testing discourse” where the teacher posed questions to which she already knew the answer.

References

  • Agamben, G. (2009). What is an apparatus? And other essays. Stanford: Stanford University Press.

    Google Scholar 

  • Ball, S. (2000). Performativities and fabrications in the education economy: Towards the performative society? The Australian Educational Researcher, 27(2), 1–23.

    Article  Google Scholar 

  • Ball, S., Maguire, M., Braun, A., Perryman, J., & Hoskins, K. (2012). Assessment technologies in schools: “Deliverology” and the “play of dominations”. Research Papers in Education., 27(5), 513–533.

    Article  Google Scholar 

  • Bernstein, B. (1973). Class codes and control (Vol. 2). London, UK: Routledge.

    Google Scholar 

  • Björklund Boistrup, L. (2010). Assessment discourses in mathematics education: A multimodal social semiotic study. PhD thesis. Stockholm: Stockholm University.

    Google Scholar 

  • Björklund Boistrup, L. (2015). Governing through implicit and explicit assessment acts: Multimodality in mathematics classrooms. In M. Hamilton, R. Heydon, K. Hibbert, & R. Stooke (Eds.), Negotiating spaces for literacy learning: Multimodality and Governmentality (pp. 131–148). London: Bloomsbury Publishing.

    Google Scholar 

  • Björklund Boistrup, L. & Samuelsson, J. (In Preparation). Power relations in participatory action research in mathematics education.

    Google Scholar 

  • Björklund Boistrup, L., Samuelsson, J., Bengtsson, K., Bertilsson, U., Grundström, M., & Järvstråt, M. (2013). Betydelsen av tystnad. Aktionsforskning om bedömning i matematik. Linköping: Linköpings kommun.

    Google Scholar 

  • Broadfoot, P. M. (1996). Education, assessment and society. Buckingham, UK: Open University Press.

    Google Scholar 

  • Broadfoot, P. M., & Pollard, A. (2000). The changing discourse of assessment policy. In A. Filer (Ed.), Assessment: Social practice and social product (pp. 11–26). London, UK: RoutledgeFalmer.

    Google Scholar 

  • Bussolini, J. (2010). What is a dispositive? Foucault Studies, 10, 85–107.

    Google Scholar 

  • Cizek, G. J. (2010). An introduction to formative assessment: History, characteristics, and challenges. In H. L. Andrade & G. J. Cizek (Eds.), Handbook of formative assessment (pp. 3–17). Abingdon, UK: Routledge.

    Google Scholar 

  • Cooper, D., & Dunne, M. (2000). Assessing children’s mathematical knowledge. Social class, sex and problem solving. Buckingham, Philadelphia: Open University Press.

    Google Scholar 

  • Emanuelsson, I. (2002). I behov av särskilt stöd—och ändå godkänd? [In need of special support—but still get passed?]. In H. Andersson (Ed.), Att bedöma eller döma: Tio artiklar om bedömning och betygsättning (To assess or judge. Ten articles on assessment and grading, pp. 27–38). Skolverket: Stockholm, Sweden.

    Google Scholar 

  • Fejes, A. (2008). To be one’s own confessor: Educational guidance and governmentality. British Journal of Sociology of Education, 29(6), 653–664.

    Article  Google Scholar 

  • FitzSimons, G. (2014). Commentary on vocational mathematics education: Where mathematics education confronts the realities. Educational Studies in Mathematics, 86(2), 291–305.

    Article  Google Scholar 

  • Forsberg, E., & Wallin, E. (Eds.). (2006). Skolans kontrollregim—Ett kontraproduktivt system för styrning? (School’s regimen of control. A counter-productive system of directing?). Stockholm, Sweden: HLS förlag.

    Google Scholar 

  • Foucault, M. (1977). Le jeu de Michel Foucault. In M. Foucault (Ed.), Dits et écrits (Vol. III, pp. 298–329). Paris: Gallimard.

    Google Scholar 

  • Foucault, M. (1993). Diskursen ordning (The order of the discourse). Stockholm, Sweden: Brutus Östlings Bokförlag Symposium.

    Google Scholar 

  • Foucault, M. (2003). Övervakning och straff (Discipline and Punish). Lund, Sweden: Arkiv förlag.

    Google Scholar 

  • Foucault, M. (2008a). Diskursen ska inte uppfattas som… [The discourse should not be interpreted as…]. In T. Götselius & U. Olsson (Eds.), Diskursernas kamp (The battle between discourses, pp. 181–182). Stockholm, Sweden: Brutus Östlings Bokförlag Symposium.

    Google Scholar 

  • Foucault, M. (2008b). Regementalitet [Governmentality]. In T. Götselius & U. Olsson (Eds.), Diskursernas kamp (The battle between discourses, pp. 183–204). Stockholm, Sweden: Brutus Östlings Bokförlag Symposium.

    Google Scholar 

  • Gellert, U. (This volume). Revisiting mathematics for all: a commentary to pais’s critique.

    Google Scholar 

  • Gellert, U., & Jablonka, E. (2009). The demathematising effect of technology. Calling for critical competence. In P. Ernest, B. Greer, & B. Sriraman (Eds.), Critical issues in mathematics education (pp. 19–24). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Gipps, C. (2001). Sociocultural aspects of assessment. In G. Svingby & S. Svingby (Eds.), Bedömning av kunskap och kompetens: Konferensrapport (Assessment of knowledge and competence: Proceedings, pp. 15–68). Stockholm, Sweden: PRIM-gruppen.

    Google Scholar 

  • Hansson, Å. (2010). Instructional responsibility in mathematics education: Modelling classroom teaching using Swedish data. Educational Studies in Mathematics, 75(2), 171–189.

    Article  Google Scholar 

  • Jørgensen, K. M., & Klee, N. (2014). Artisan storytelling and management “dispositifs”. In K. M. Jørgensen & C. Largacha-Martinez (Eds.), Critical narrative inquiry—storytelling, sustainability and power (pp. 15–33). Hauppauge, NY: Nova.

    Google Scholar 

  • Jurdak, M. (2014). Socio-economic and cultural mediators of mathematics achievement and between-school equity in mathematics education at the global level. ZDM: The International Journal on Mathematics Education, 46(7), 1025–1037.

    Article  Google Scholar 

  • Kress, G. (2009). Assessment in the perspective of a social semiotic theory of multimodal teaching and learning. In C. M. Wyatt-Smith & J. Cummings (Eds.), Educational assessment in the 21st century (pp. 19–41). London, UK: Springer.

    Chapter  Google Scholar 

  • McGrady, P. B., & Reynolds, J. R. (2013). Racial mismatch in the classroom: Beyond black-white differences. Sociology of Education, 86(1), 3–17.

    Article  Google Scholar 

  • Mercier, A., Sensevy, G., & Schubauer-Leoni, M.-L. (2000). How social interactions within a class depend on the teacher’s assessment of the students’ various mathematical capabilities. ZDM: The International Journal on Mathematics Education, 32(5), 126–130.

    Google Scholar 

  • Morgan, C. (2000). Better assessment in mathematics education? A social perspective. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 225–242). Westport, CT: Alex.

    Google Scholar 

  • Pettersson, A., & Björklund Boistrup, L. (2010). National assessment in Swedish compulsory schools. In B. Sriraman, C. Bergsten, S. Goodchild, G. Palsdottir, B. Dahl Søndergaard, & L. Haapsalo (Eds.), The sourcebook on Nordic research in mathematics education (pp. 373–385). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Raffsnøe, S., Gudmand-Høyer, M., & Thaning, M. S. (2014). Foucault’s dispositive: The perspicacity of dispositive analytics in organizational research. Organization, 2014, 1–27.

    Google Scholar 

  • SFS. (2010). Svensk författningssamling 2010:800. Skollag. Utbildningsdepartementet.

    Google Scholar 

  • Skolverket. (2003). Lusten att läramed fokus på matematik: Nationella kvalitetsgranskningar 2001-2002. [The desire to learn—with a focus on mathematics: National quality audits 2001-2002]. Stockholm, Sweden: Skolverket.

    Google Scholar 

  • Skolverket. (2011). Läroplan för grundskolan, förskoleklassen och fritidshemmet. Stockholm: Fritzes.

    Google Scholar 

  • Skolverket. (2013). PISA 2012—15-åringars kunskaper i matematik, läsförståelse och naturvetenskap. Stockholm: Skolverket.

    Google Scholar 

  • Skolverket. (2014). Grundskolan i internationella kunskapsmätningar: Kunskap, skolmiljö och attityder till lärande Rapport 407. Stockholm: Skolverket.

    Google Scholar 

  • Skovsmose, O. (2005). Travelling through education: Uncertainty, mathematics, responsibility. Rotterdam. The Netherlands: Sense Publisher.

    Google Scholar 

  • Straehler-Pohl, H., Gellert, U., Fernandez, S., & Figueiras, L. (2014). School mathematics registers in a context of low academic expectations. Educational Studies in Mathematics, 85(2), 175–199.

    Article  Google Scholar 

  • Torrance, H., & Pryor, J. (1998). Investigating formative assessment. Teaching, learning and assessment in the classroom. Buckingham, UK: Open University Press.

    Google Scholar 

  • Valero, P. (2013). Mathematics for all and the promise of a bright future. Paper presented at the 8th Congress of European Research in Mathematics Education (CERME 8), Antalya, Turkey.

    Google Scholar 

  • Van Leeuwen, T. (2005). Introducing social semiotics. London, UK: Routledge.

    Google Scholar 

  • Walkerdine, V. (1988). The Mastery of reason. Cognitive development and the production of rationality. London: Routledge.

    Google Scholar 

  • Watson, A. (2000). Mathematics teachers acting as informal assessors: Practices, problems and recommendations. Educational Studies in Mathematics, 41(1), 69–91.

    Article  Google Scholar 

  • Wiliam, D., & Thompson, M. (2007). Integrating assessment with instruction: What will it take to make it work? In C. Dwyer (Ed.), In the future of assessment: Shaping teaching and learning (pp. 53–82). Mahwah, N.J., USA: Lawrence Erlbaum Associates.

    Google Scholar 

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Acknowledgments

I would like to thank Nina Bohlmann and Kenneth Mølbjerg Jørgensen for helpful comments during the peer-review process. I also want to express my gratitude to Hauke Straehler-Pohl for helpful suggestions during the revision of the chapter. The work on the chapter was funded by Linköping University (with the municipalities of Linköping and Norrköping), and Stockholm University.

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Correspondence to Lisa Björklund Boistrup .

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Björklund Boistrup, L. (2017). Assessment in Mathematics Education: A Gatekeeping Dispositive. In: Straehler-Pohl, H., Bohlmann, N., Pais, A. (eds) The Disorder of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-34006-7_13

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  • DOI: https://doi.org/10.1007/978-3-319-34006-7_13

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