ABSTRACT
The day-to-day business of being a science or mathematics teacher involves the continuous assessment of students. This, in turn, is an inherently discursive process. The aim of the present study is to examine some of the specific discursive practices through which science and mathematics knowing is jointly produced through classroom interaction. In particular, we examine the coproduced nature of two students’ not knowing—one in an outdoor elementary school science lesson and the other in an elementary school mathematics lesson. Our analysis is based on ideas in discursive psychology and challenges conventional interpretations of students’ academic performance in school science and mathematics.
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References
Abi-El-Mona, I. & Abd-El-Khalick, F. (2006). Argumentative discourse in a high school chemistry classroom. School Science and Mathematics, 106(8), 349–361.
Adams, T. & Hsu, J.-W. (1998). Classroom assessment: Teachers’ conceptions and practices in mathematics. School Science and Mathematics, 98(4), 174–180.
Auburn, T. (2005). Narrative reflexivity as a repair device for discounting “cognitive distortions” in sex offender treatment. Discourse & Society, 16(5), 697–718.
Barwell, R. (2003) Discursive psychology and mathematics education: possibilities and challenges. Zentralblatt für Ditaktik der Mathematik (ZDM), 35(5), 201–207.
Barwell, R. (2009) Researchers’ descriptions and the construction of mathematical thinking. Educational Studies in Mathematics, 79(2), 255–269.
Barwell, R. (2012) Discursive demands and equity in second language mathematics classrooms. In B. Herbel-Eisenmann, J. Choppin, D. Wagner, & D. Pimm, (Eds.) Equity in discourse for mathematics education: theories, practices, and policies (pp. 147–164). New York: Springer.
Black, L. (2004). Differential participation in whole-class discussions and the construction of marginalized identities. Journal of Educational Enquiry, 5(1), 34–54.
Buxton, C., Carlone, H. & Carlone, D. (2005). Boundary spanners as bridges of student and school discourses in an urban science and math high school. School Science and Mathematics, 105(6), 302–312.
Casa, T. M., McGivney-Burelle, J. & DeFranco, T. C. (2007). The development of an instrument to measure preservice teachers’ attitudes about discourse in the mathematics classroom. School Science and Mathematics, 107(2), 70–80.
Chabalengula, V., Sanders, M. & Mumba, F. (2012). Diagnosing students’ understanding of energy and its related concepts in biological context. Journal of Science and Mathematics Education, 10(2), 241–266.
Clarke, D., Clarke, D. & Lovitt, C. J. (1990). Changes in mathematics teaching call for assessment alternatives. In T. Cooney & C. Hirsch (Eds.), Teaching and learning mathematics in the 1990s: 1990 yearbook (pp. 118–129). Reston: National Council of Teachers of Mathematics.
Dole, S., Nisbet, S., Warren, E. & Cooper, T. (1999). Teacher collaboration in developing rich assessment tasks in mathematics as a professional development activity. Mathematics Teacher Education and Development, 1, 38–49.
Edwards, D. (1997). Discourse and cognition. London: Sage.
Edwards, D. & Potter, J. (1992). Discursive psychology. London: Sage.
Esmonde, I. (2009). Explanations in mathematics classrooms: A discourse analysis. Canadian Journal of Science, Mathematics, and Technology Education, 9(2), 86–99.
Esmonde, I. & Moschkovich, J. (2011). Introduction to the special issue on equitable access to participation in mathematics discussions: Students’ discourse, experiences, and perspectives. Canadian Journal of Science, Mathematics, and Technology Education, 11(3), 199–206.
Forbes, C. & Davis, E. (2010). Beginning elementary teachers’ beliefs about the use of anchoring questions in science: A longitudinal study. Science Education, 94(2), 365–387.
Gallimore, R. & Tharp, R. G. (1990). Teaching mind in society: Teaching, schooling, and literate discourse. In L. C. Moll (Ed.), Vygotsky and education: Instructional implications and applications of sociohistorical psychology (pp. 175–205). New York: Cambridge University Press (1st paperback 1992).
Garfinkel, H. (1967). Studies in ethnomethodology. Englewood Cliffs: Prentice-Hall.
Gee, J. (2000). Identity as an analytic lens for research in education. Review of Research in Education, 25, 99–125.
Gustafson, B. & MacDonald, D. (2004). Talk as a tool for thinking: Using professional discourse practices to frame children’s design-technology talk. Canadian Journal of Science, Mathematics, and Technology Education, 4(3), 331–351.
Haines, C. & Izard, J. (1994). Assessing mathematical communications about projects and investigations. Educational Studies in Mathematics, 27(4), 373–386.
Hammersley, M. (2003). Conversation analysis and discourse analysis: Methods or paradigms? Discourse & Society, 14(6), 751–781.
Harré, R. & Gillett, G. (1994). The discursive mind. London: Sage.
Herbel-Eisenmann, B., Lubienski, S. T. & Id-Deen, L. (2006). Reconsidering the study of mathematics instructional practices: The importance of curricular context in understanding local and global teacher change. Journal of Mathematics Teacher Education, 9(4), 313–345.
Hintz, A. (2011). Understanding students’ experiences as listeners during mathematical discussion. Canadian Journal of Science, Mathematics, and Technology Education, 11(3), 261–272.
Hufferd-Ackles, K., Fuson, K. C. & Sherin, M. G. (2004). Describing levels and components of a math-talk learning community. Journal for Research in Mathematics Education, 35(2), 81–116.
Kamberelis, G. & Wehunt, M. D. (2012). Hybrid discourse practice and science learning. Cultural Studies of Science Education, 7(3).
Kieran, C., Forman, E. & Sfard, A. (2001). Bridging the individual and the social: Discursive approaches to research in mathematics education: A PME special issue. Educational Studies in Mathematics, 46(1–3).
Knuth, E. & Peressini, D. (2001). A theoretical framework for examining discourse in mathematics classrooms. Focus on Learning Problems in Mathematics, 23(2 & 3), 5–22.
Krussel, L., Edwards, B. & Springer, G. (2004). The teacher’s discourse moves: A framework for analyzing discourse in mathematics classrooms. School Science and Mathematics, 104(7), 307–312.
Lee, O. & Paik, S.-H. (2000). Conceptions of science achievement in major reform documents. School Science and Mathematics, 100(1), 16–26.
Lemke, J. (1990). Talking science: Language, learning, and values. Norwood: Ablex.
Ma, X. (2009). Understanding the relationship between mathematics and science coursework patterns. Teachers College Record, 111(9), 2101–2126.
Mallow, J., Kastrup, H., Bryant, F. B., Hislop, N., Shefner, R. & Udo, M. (2010). Science anxiety, science attitudes, and gender: Interviews from a binational study. Journal of Science Education and Technology, 19(4), 356–369.
McHoul, A. (1979). The organization of turns at formal talk in the classroom. Language in Society, 7(2), 183–213.
Mehan, H. (1979). “What time is it, Denise?”: Asking known information questions in classroom discourse. Theory into Practice, 18(4), 285–294.
Mortimer, E. & Scott, P. H. (2003). Meaning making in secondary science classrooms. Maidenhead: Open University Press.
Oliveira-Jayme, B., Reis, G., van Eijck, M., & Roth, W.-M. (2012). Aulas de ciências em laboratórios de informática: uma construção discursiva do monopólio participativo. Linhas Criticas, 18(35), 107–126.
Ontario Ministry of Education (2005). Mathematics curriculum grades 1–8. Ottawa: Queen’s Printer for Ontario.
Ontario Ministry of Education (2007). Science and technology curriculum grades 1–8. Ottawa: Queen’s Printer for Ontario.
Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. London: Routledge.
Potter, J. (1998). Discursive social psychology: From attitudes to evaluations. European Review of Social Psychology, 9(1), 233–266.
Reis, G. & Roth, W.-M. (2007). Environmental education in action: a discursive approach to curriculum design. Environmental Education Research, 13(3), 307–327.
Reis, G. (2007). On and off school ground: A discursive approach to science and environmental education. (Doctoral dissertation). Retrived from:: http://dspace.library.uvic.ca:8080/handle/1828/237.
Roth, W.-M., van Eijck, M., Reis, G., & Hsu, P.-L. (2008). Authentic science revisited. Rotterdam: Sense Publishers.
Rex, L. & Schiller, L. (2009). Using discourse analysis to improve classroom interaction. New York: Routledge.
Rowland, T. (1995). Hedges in mathematics talk: Linguistic pointers to uncertainty. Educational Studies in Mathematics, 29(4), 327–353.
Sacks, H. (1992a). Lectures on conversation (vol. 1). Oxford: Blackwell.
Sacks, H. (1992b). Lectures on conversation (vol. 2). Oxford: Blackwell.
Sanders, R. E. (2005). Validating ‘observations’ in discourse studies: A methodological reason for attention to cognition. In H. Te Molder & J. Potter (Eds.), Conversation and cognition (pp. 57–78). New York: Cambridge University Press.
Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge: Cambridge University Press.
Thompson, D. (1999). Using performance assessment to engage preservice teachers in mathematical discourse. School Science and Mathematics, 99(2), 84–89.
Truxaw, M. P., Gorgievski, N. & DeFranco, T. C. (2008). Measuring K-8 teachers perceptions of discourse use in their mathematics classes. School Science and Mathematics, 108(2), 58–70.
Warren, E. & Nisbet, S. (2001). How grades 1–7 teachers assess mathematics and how they use the assessment data. School Science and Mathematics, 101(7), 348–355.
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Reis, G., Barwell, R. THE INTERACTIONAL ACCOMPLISHMENT OF NOT KNOWING IN ELEMENTARY SCHOOL SCIENCE AND MATHEMATICS: IMPLICATIONS FOR CLASSROOM PERFORMANCE ASSESSMENT PRACTICES. Int J of Sci and Math Educ 11, 1067–1085 (2013). https://doi.org/10.1007/s10763-012-9377-5
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DOI: https://doi.org/10.1007/s10763-012-9377-5