Abstract
The benefits of engaging students in mathematics classroom dialogue have been highlighted (and advocated) in a large body of research studies, most of which were conducted in Western cultural contexts. Whether such research advocacy can be extended legitimately to encompass practice in classrooms situated in other cultural contexts, such as East Asian classrooms, remains a matter for empirical investigation. In this paper, we problematize the assumptions underpinning this advocacy of “mathematical dialogue in classrooms” by revisiting several conceptualizations of the role of language in mathematics classrooms and by considering particular forms of communication in classrooms often undervalued in the research literature. To support such problematization, we draw upon an analysis of classroom discourse in nine classrooms situated in Shanghai, Seoul, and Melbourne from the Learner’s Perspective Study. The results of the analysis demonstrate some interesting variations in the extent to which the discursive practice of each classroom afforded or constrained the opportunities for students to speak mathematically, and its consequences for student learning as indicated by student mathematical fluency demonstrated in the post-lesson interviews. Such variations provide insight into the differences in inspirations and cultural values attached to particular types of mathematical performance. We argue that our theories should anticipate application in culturally differentiated settings and be sensitive to the constraints and affordance that culture might place on classroom discourse practices.
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References
Alexander, R. (2008). Towards dialogic teaching: Rethinking classroom talk. Cambridge, UK: Dialogos.
Bakhtin, M. M. (1986). Speech genres and other late essays. (trans: McGee, V. W.). Austin, TX: University of Texas Press.
Bakker, A., Smit, J., & Wegerif, R. (2015). Scaffolding and dialogic teaching in mathematics education: Introduction and review. ZDM, 47(7), 1047–1065.
Bernstein, B. (1986). On pedagogic discourse. In J. Richardson (Ed.), Handbook of theory and research in the sociology of education (pp. 205–239). New York, NY: Greenwood Press.
Carnine, D. W., Silbert, J., Kame’enui, E. J., & Tarveer, S. G. (2004). Direct instruction reading (4th ed.). Upper Saddle River, NJ: Pearson/Merrill Prentice Hall.
Cazden, C. B. (2001). Classroom discourse: The language of teaching and learning. Portsmouth, NH: Heinemann.
Clarke, D. (2006). The LPS research design. In D. Clarke, C. Keitel, & Y. Shimizu (Eds.), Mathematics classrooms in twelve countries: the insider’s perspective (pp. 15–37). Rotterdam, the Netherlands: Sense.
Clarke, D., Xu, L., & Wan, M. E. V. (2013a). Spoken mathematics as an instructional strategy: The public discourse of mathematics classrooms in different countries. In B. Kaur, G. Anthony, M. Otani, & D. Clarke (Eds.), Students’ voice in mathematics classrooms around the world (pp. 13–32). Rotterdam, the Netherlands: Sense Publishers.
Clarke, D., Xu, L., & Wan, M. E. V. (2013b). Students speaking mathematics: Practices and consequences for mathematics classrooms in different countries. In B. Kaur, G. Anthony, M. Otani, & D. Clarke (Eds.), Students’ voice in mathematics classrooms around the world (pp. 33–52). Rotterdam, the Netherlands: Sense Publishers.
Clarke, D. J., Xu, L., & Wan, M. E. V. (2013c). Choral response as a significant form of verbal response in mathematics classrooms in seven countries. In A. M. Lindmeier & A. Heinze (Eds.), Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education, Vol. 2, Kiel, Germany: PME, pp. 201–208. Vol. 5, Kiel, Germany: PME, p. 196.
Doyle, W. (1986). Classroom organization and management. In M. C. Wittrock (Ed.), Handbook of research on teaching (pp. 392–431). New York, NY: MacMillan Publishing Company.
Freire, P. (1989). Pedagogy of the oppressed, trans. Myra Bergman Ramos (p. 1989). New York, NY: Continuum.
Grow-Maienza, J., Hahn, D.-D., & Joo, C.-A. (2001). Mathematics instruction in Korean primary schools: Structures, processes, and a linguistic analysis of questioning. Journal of Educational Psychology, 93(2), 363–376.
Ha, P. L., & Li, B. (2014). Silence as right, choice, resistance and strategy among Chinese ‘Me Generation’ students: Implications for pedagogy. Discourse: Studies in the Cultural Politics of Education, 35(2), 233–248. https://doi.org/10.1080/01596306.2012.745733
Heward, W. L., & Wood, C. L. (2009). Let’s make some noise! Using choral responding to improve the effectiveness of group instruction. In W. L. Heward (Ed.), Exceptional children: An introduction to special education (9th ed., pp. 158–159). Upper Saddle River, NJ: Pearson/Merrill.
Howe, C., & Abedin, M. (2013). Classroom dialogue: A systematic review across four decades of research. Cambridge Journal of Education, 43(3), 325–356. https://doi.org/10.1080/0305764X.2013.786024
Inagaki, K., Hatano, G., & Morita, E. (1998). Construction of mathematical knowledge through whole-class discussion. Learning and Instruction, 8(6), 503–526.
Jaworski, A., & Sachdev, I. (1998). Beliefs about silence in the classroom. Language and Education, 12(4), 273–292.
Kim, H., & Markus, H. (2005). Speech and silence. In L. Weis & M. Fine (Eds.), Beyond silenced voices: Class, race, and gender in United States schools (Revised Edition, pp. 181–196). Albany, NY: State University of New York Press.
Kim, H. S. (2002). We talk, therefore we think? A cultural analysis of the effect of talking on thinking. Journal of Personality and Social Psychology, 83(4), 828–842.
Kim, H. S., & Markus, H. R. (2002). Freedom of speech and freedom of silence: An analysis of taking as culture practice. In R. A. Shweder, M. Minow, & H. R. Markus (Eds.), Engaging cultural differences: The multicultural challenge in liberal democracies. New York, NY: Russell Sage Foundation.
Lampert, M. (1990). When the problem is not the question and the solution is not the answer: Mathematical knowing and teaching. American Educational Research Journal, 27(1), 29–63.
Lee, K., & Sriraman, B. (2013). An Eastern learning paradox: Paradoxes in two Korean mathematics teachers’ pedagogy of silence in the classroom. Interchange, 43(2), 147–166.
Lerman, S. (2000). The social turn in mathematics education research. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 19–44). Westport, CT: Ablex Publshing.
Li, H. L. (2001). Silences and silencing silences. Philosophy of Education Archive, 157–165.
Li, J. (2004). A Chinese cultural model of learning. Chapter 5 in L. Fan, N-Y. In J. C. Wong & S. Li (Eds.), How Chinese learn mathematics: Perspectives from insiders (pp. 124–156). New Jersey: World Scientific.
Lobato, J., Clarke, D., & Ellis, A. B. (2005). Initiating and eliciting in teaching: A reformulation of telling. Journal for Research in Mathematics Education, 101–136.
Lyle, S. (2008). Dialogic teaching: Discussing theoretical contexts and reviewing evidence from classroom practice. Language and Education, 22(3), 222–240.
Mak, B. (2011). An exploration of speaking-in-class anxiety with Chinese ESL learners. System, 39(2), 202–214.
Mehan, H. (1997). Students’ interactional competence in the classroom. In M. Cole, Y. Engestrom, & O. Vasquez (Eds.), Mind, culture, and activity: Seminal papers from the laboratory of comparative human cognition (pp. 235–240). Cambridge, UK: Cambridge University Press.
Mercer, N. (1995). The guided construction of knowledge: Talk amongst teachers and learners. Clevedon, UK: Multilingual Matters.
Mercer, N., & Howe, C. (2012). Explaining the dialogic processes of teaching and learning: The value and potential of sociocultural theory. Learning, Culture and Social Interaction, 1, 12–21.
Mercer, N., & Littleton, K. (2007). Dialogue and the development of children’s thinking: A sociocultural approach. London, UK: Routledge.
Michaels, S., O’Connor, C., & Resnick, L. B. (2008). Deliberative discourse idealized and realized: Accountable talk in the classroom and in civic life. Studies in Philosophy and Education, 27(4), 283–297.
Morgan, C., Craig, T., Schuette, M., & Wagner, D. (2014). Language and communication in mathematics education: An overview of research in the field. ZDM, 46(6), 843–853.
Ollin, R. (2008). Silent pedagogy and rethinking classroom practice: Structuring teaching through silence rather than talk. Cambridge Journal of Education, 38(2), 265–280.
Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. London, UK: Routledge Kegan & Paul.
Przychodzin, A.M., Marchand-Martella, N.E., Martella, R.C., & Azim, D. (2004). Direct instruction mathematics programs: An overview and research summary, 4, 53–84.
Scollon, R., & Scollon, S. W. (1995). Intercultural communication. Oxford, UK: Blackwell.
Sfard, A. (2002). There is more to discourse than meets the ears: Looking at thinking as communicating to learn more about mathematical learning. Educational Studies in Mathematics, 46, 13–57.
Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge, UK: Cambridge University Press.
Tan, J. K., & Goh, J. W. (2006). Why do they not talk? Towards an understanding of students’ cross-cultural encounters from an individualism/collectivism perspective. International Education Journal, 7(5), 651–667.
Tobin, K. (1986). Effects of teacher wait time on discourse characteristics in mathematics and language arts classes. American Educational Research Journal, 23(2), 191–200.
Tobin, K. (1987). The role of wait time in higher cognitive level learning. Review of Educational Research, 57(1), 69–95.
Tully, J. (1995). Strange multiplicity: Constitutionalism in an age of diversity. Cambridge, UK: Cambridge University Press.
van Oers, B. (2001). Educational forms of initiation in mathematical culture. Educational Studies in Mathematics, 46, 59–85.
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge, MA: Harvard University Press.
Wagner, D. (2004). Silence and voice in the secondary mathematics classroom (Doctoral dissertation, University of Alberta, Canada). Retrieved from https://davewagner.ca/articles/Wagner_Dissertation_2004.pdf. 6 May 2019
Walshaw, M., & Anthony, G. (2008). The teacher’s role in classroom discourse: A review of recent research into mathematics classrooms. Review of educational research, 78 (pp. 516–551). Cambridge, MA: Harvard University Press.
Wang, T. (2010). Teaching mathematics through choral responses: A study of two sixth grade classrooms in China. New York: The Edwin Mellen Press.
Xu, L., & Clarke, D. (2013). Meta-rules of discursive practice in mathematics classrooms from Seoul, Shanghai, and Tokyo. ZDM - The International Journal on Mathematics Education, 45(1), 61–72.
Xu, L., Clarke, D. J., & Wan, M. E. V. (2013). Discourse patterns employing choral response in mathematics classrooms in seven countries. In A. M. Lindmeier & A. Heinze (Eds.), Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education, Vol. 5, Kiel, Germany: PME, p. 196.
Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458–477.
Acknowledgments
The authors wish to thank May Ee Vivien Wan for her work on the early analysis of the data reported in this article. The authors also want to express gratitude to the anonymous reviewers and the editor for their insightful comments which helped to improve the clarity of the writing significantly.
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Xu, L., Clarke, D. Speaking or not speaking as a cultural practice: analysis of mathematics classroom discourse in Shanghai, Seoul, and Melbourne. Educ Stud Math 102, 127–146 (2019). https://doi.org/10.1007/s10649-019-09901-x
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DOI: https://doi.org/10.1007/s10649-019-09901-x