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Making Student Explanations Relevant in Whole Class Discussion

  • Jenni Ingram
  • Nick Andrews
  • Andrea Pitt
Chapter
Part of the ICME-13 Monographs book series (ICME13Mo)

Abstract

Students explaining their mathematics is vital to the teaching and learning of mathematics, yet we know little about how to enable and support students to explain in whole class discussions beyond teachers asking particular questions. In this chapter we use a conversation analytic approach to explore the interactional structures that make student explanations relevant. Through a detailed examination of interactions where a student explanation occurs, three distinct structures are identified where a student explanation is perceived to be relevant. Our focus in the analysis is the social actions students themselves do in their explanations to display their interpretation of the interaction as requiring an explanation and constraining the type of explanation. However, these structures also offer ways that teachers can use the structure of interaction to encourage students to offer explanations in their responses.

Keywords

Conversation analysis Explanations Classroom interaction Preference Conditional relevance 

References

  1. Antaki, C. (1994). Explaining and arguing: The social organization of accounts. London: SAGE.Google Scholar
  2. Bilmes, J. (1988). The concept of preference in conversation analysis. Language in Society, 17(2), 161–181.CrossRefGoogle Scholar
  3. Cazden, C. B. (2001). Classroom discourse: The language of teaching and learning. Westport: Heinemann.Google Scholar
  4. Drageset, O. G. (2015). Different types of student comments in the mathematics classroom. Journal of Mathematical Behaviour, 38, 29–40.CrossRefGoogle Scholar
  5. Franke, M. L., Fennema, E., & Carpenter, T. P. (1997). Teachers creating change: Examining evolving beliefs and classroom practice. In E. Fennema & B. S. Nelson (Eds.), Mathematics teachers in transition (pp. 255–282). Mahwah, NJ: Lawrence Erlbam Associates.Google Scholar
  6. Franke, M. L., Webb, N. M., Chan, A. G., Ing, M., Freund, D., & Battey, D. (2009). Teacher questioning to elicit students’ mathematical thinking in elementary school classrooms. Journal of Teacher Education, 60(4), 380–392.CrossRefGoogle Scholar
  7. Heritage, J. (1984). Garfinkel and ethnomethodology. Cambridge: Polity.Google Scholar
  8. Ingram, J., Andrews, N., & Pitt, A. (2016). Patterns of interactions that encourage student explanations in mathematics lessons. In G. Adams (Ed.), Proceedings of the British Society for Research into Learning Mathematics, 36(1), 42–47.Google Scholar
  9. Ingram, J., & Elliott, V. (2014). Turn taking and ‘wait time’ in classroom interactions. Journal of Pragmatics, 62, 1–12.CrossRefGoogle Scholar
  10. Ingram, J., & Elliott, V. (2016). A critical analysis of the role of wait time in classroom interactions and the effects on student and teacher interaction. Cambridge Journal of Education, 46, 1–17.CrossRefGoogle Scholar
  11. Jefferson, G. (1984). Transcription notation. In J. Atkinson & J. Heritage (Eds.), Structures of social interaction. New York: Cambridge University Press.Google Scholar
  12. Lee, Y.-A. (2007). Third turn position in teacher talk: Contingence and the work of teaching. Journal of Pragmatics, 23, 55–69.Google Scholar
  13. Lemke, J. L. (1985). Using language in the classroom. Geelong, VIC, Australia: Deakin University Press.Google Scholar
  14. McHoul, A. (1978). The organization of turns at formal talk in the classroom. Language in Society, 7, 183–213.CrossRefGoogle Scholar
  15. Mehan, H. (1979). Learning lessons: Social organization in the classroom. Cambridge, MA: Harvard University Press.CrossRefGoogle Scholar
  16. Mercer, N. (1992). Talk for teaching and learning. In K. Norman (Ed.), Thinking voices: The National Oracy project (pp. 215–223). London: Hodder & Soughton.Google Scholar
  17. Mercer, N., & Littleton, K. (2007). Dialogue and the development of children’s thinking: A sociocultural approach. London: Routledge.Google Scholar
  18. Milani, R. (2012). Dialogical questioning in mathematics education. In Pre-proceedings of the 12th international congress on mathematical education, topic study group 28, COEX, Seoul, Korea, July 8–15, 2012.Google Scholar
  19. Nassaji, H., & Wells, G. (2000). What’s the use of ‘triadic dialogue’? An investigation of teacher-student interaction. Applied Linguistics, 21(3), 376–406.CrossRefGoogle Scholar
  20. Nystrand, M., & Gamoran, A. (1991). Instructional discourse, student engagement, and literature achievement. Research in the Teaching of English, 25, 261–290.Google Scholar
  21. Quasthoff, U., Heller, V., & Morek, M. (2017). On the sequential organization and genre-orientation of discourse units in interaction: An analytic framework. Discourse Studies, 19(1), 84–110.CrossRefGoogle Scholar
  22. Rogoff, B. (1991). Guidance and participation in spatial planning. In L. B. Resnick, J. M. Levine, & S. D. Teasley (Eds.), Perspectives on socially shared cognition (pp. 349–383). Washington DC: American Psychological Association.CrossRefGoogle Scholar
  23. Schegloff, E. A. (2007). A primer for conversation analysis: Sequence organization. Cambridge, England: Cambridge University Press.CrossRefGoogle Scholar
  24. Sidney, P. G., Hattikudur, S., & Alibali, M. W. (2015). How do contrasting cases and self-explanation promote learning? Evidence from fraction division. Learning and Instruction, 40, 29–38.CrossRefGoogle Scholar
  25. Sinclair, J., & Coulthard, M. (1975). Towards an analysis of discourse: The English used by teachers and pupils. Oxford: Oxford University Press.Google Scholar
  26. Waring, H. Z. (2009). Moving out of IRF: A single case analysis. Language Learning, 59(4), 796–825.CrossRefGoogle Scholar
  27. Webb, N. M., & Palincsar, A. S. (1996). Group processes in the classroom. In D. Berliner & R. Calfee (Eds.), Handbook of educational psychology (pp. 841–873). New York: Macmillan.Google Scholar
  28. Wells, G. (1993). Reevaluating the IRF sequence: A proposal for the articulation of theories of activity and discourse for the analysis of teaching and learning in the classroom. Linguistics and Education, 5, 1–37.CrossRefGoogle Scholar
  29. Zemel, A., & Koschmann, T. (2011). Pursuing a question: Reinitiating IRE sequences as a method of instruction. Journal of Pragmatics, 43, 475–488.CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of EducationUniversity of OxfordOxfordUK

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