참고문헌
- 강완, 장윤영, 정선혜(2011). 수학 수업 발문유형 분석 및 대안 탐색 -신임 교사 사례 연구-. 초등수학교육, 14(3), 293-302.
- 김상화, 방정숙(2010). 담화 중심 수학적 의사소통 수업의 분석. 한국초등수학교육학회지, 14(3), 523-545.
- 문지혜, 박만구(2012). 열린 발문이 초등학생들의 수학적 창의력에 미치는 영향. 한국초등교육, 23(4), 1-25.
- 박만구, 김진호(2006). 학습자 중심의 수학 수업에서 교사의 발문 분석. 한국학교수학회논문집, 9(4), 425-457.
- 백소영, 김도현, 이경언(2014). 수업 시연에 나타나는 예비 수학교사의 발문 유형과 특성 분석. 교사교육연구, 53(3), 400-415.
- 변재현, 김민경(2004). 교사의 단계적 발문이 학습자의 수학적 사고에 미치는 효과. 교과교육연구, 8(2), 199-217.
- 이기숙, 김원경(2006). 중학교 수학교사의 발문행동에 관한 분석. 교원교육, 22(4), 111-133.
- 이정모(2010). '체화된 인지(Embodied Cognition)' 접근과 학문간 융합 - 인지과학 새 패러다임과 철학의 연결이 주는 시사. 철학사상, 38, 27-66.
- 조광희(2002). 경험이나 직관을 강조한 발문학습이 수학학습태도 및 학업성취도에 미치는 영향. 한국학교수학회논문집, 5(1), 123-134.
- 조진우, 이경화(2015). 후기 비트겐슈타인 철학과 수학 학습. 수학교육학연구, 25(1), 59-74.
- Barnes, D. (1990). Language in the secondary classroom: a study of language interaction in twelve lessons in the first term of secondary education. In D. Barnes, B. James, & R. Harold (Eds.), Language, the Learner and the School. Baltimore: Penguin Books.
- Boaler, J., & Brodie, K. (2004). The importance, nature, and impact of teacher questions. In D. E. McDougall, & J. A. Ross (Eds.), Proceedings of the 26th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 2, (pp. 773-781). Toronto: Ontario Institute of Studies in Education/University of Toronto.
- Bridges, D. (1979). Education, Democracy and Discussion. Oxford: NFER.
- Capraro, M. M,, Carter, T., & Harbaugh, A. (2010). Understanding, questioning, and representing mathematics: what makes a difference in middle school classrooms? Research in Middle Level Education, 34(4), 1-19.
- Carlsen, W. S. (1991). Questioning in Classrooms. Review of Educational Research, 61(2), 157-178. https://doi.org/10.3102/00346543061002157
- Chazan, D., & Ball, D. (1999). Beyond being told not to tell. For the Learning of Mathematics, 19(2), 2-10.
- Cobb, P., & Yackel, E. (1996). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. Educational Psychologist, 31(3/4), 175-190. https://doi.org/10.1080/00461520.1996.9653265
- Dillon, J. T. (1984). Research on Questioning and Discussion. Educational Leadership, 42, 50-56.
- Dillon, J. T. (1985). Using questions to foil discussion. Teaching & Teacher Education, 1(2), 109-121. https://doi.org/10.1016/0742-051X(85)90010-1
- Dillon, J. T. (1991). Questioning the use of questions. Journal of Educational Psychology, 83(1), 163-163. https://doi.org/10.1037/0022-0663.83.1.163
- Franke, M. L., Webb, N. M., Chan, A., Battey, D., Ing, M., Freund, D., & De, T. (2007). Eliciting Student Thinking in Elementary School Mathematics Classroom. CRESST REPORT 725, L.A.: National Center for Research on Evaluation, Standards, and Student Testing.
- Gall, M. D. (1970). The use of questions in teaching. Review of Educational Research, 40(5), 707-721. https://doi.org/10.3102/00346543040005707
- Leatham, K. R., Peterson, B. E., Stockero, S. L., & Zoest, L. R. (2015). Conceptualizing mathematically significant pedagogical opportunities to build on student thinking. Journal for Research in Mathematics Education. 46(1), 88-124. https://doi.org/10.5951/jresematheduc.46.1.0088
- Manouchehri, A., & Lapp, D. A. (2003). Unveiling student understanding: The role of questioning in instruction. Mathematics Teacher, 96(8), 562-566.
- Mason, J. (2000). Asking mathematical questions mathematically. International Journal of Mathematics Education in Science and Technology, 31, 97-111. https://doi.org/10.1080/002073900287426
- Moyer, P. S., & Milewicz, E. (2002). Learning to question: Categories of questioning used by preservice teachers during diagnostic mathematics interviews. Journal of Mathematics Teacher Education, 5, 293-315. https://doi.org/10.1023/A:1021251912775
- National Council of Teachers of Mathematics. (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: Author.
- Nilsson, P., & Ryve, A. (2014). The nature and role of common ground in the learning of mathematics in small-group discussions. Scandinavian Journal of Educational Research, 58(5), 609-623. https://doi.org/10.1080/00313831.2013.821087
- Olson, C. J., & Knott, L. (2013). When a problem is more than a teacher's question. Educational Studies in Mathematics, 83, 27-36. https://doi.org/10.1007/s10649-012-9444-4
- Ong, E. G., Lim, C. S., & Ghazali, M. (2010). Examining the changes in novice and experienced mathematics teachers' questioning techniques through the lesson study process. Journal of Science and Mathematics Education in Southeast Asia. 33(10), 86-109.
- Perry, M., Vanderstoep, S. W., & Yu, S. L. (1993). Asking questions in first-grade mathematics classes: Potential influences on mathematical thought. Journal of Educational Psychology, 85(1), 31-40. https://doi.org/10.1037/0022-0663.85.1.31
- Purdum-Cassidy, B., Nesmith, S., Meyer, R. D., & Cooper, S. (2015). What are they asking? An analysis of the questions planned by prospective teachers when integrating literature in mathematics. Journal of Mathematics Teacher Education. 18(1), 79-99. https://doi.org/10.1007/s10857-014-9274-7
- Radford, L. (2011). Book review: Classroom interaction: Why is it good, really? Educational studies in mathematics, 76, 101-115. https://doi.org/10.1007/s10649-010-9271-4
- Sahin, A., & Kulm, G. (2008). Sixth grade mathematics teachers' intentions and use of probing, guiding, and factual questions. Journal of Mathematics Teacher Education, 11(3), 221-241. https://doi.org/10.1007/s10857-008-9071-2
- Scott, P. (1998). Teacher talk and meaning making in science classrooms: A Vygotskian analysis and review. Studies in Science Education, 32(1), 45-80. https://doi.org/10.1080/03057269808560127
- Seeger, F. (1998). Discourse and beyond: On the ethnography of classroom discourse. In H. Steinbring, M. G. Bartolini Bussi, & A. Sierpinska (Eds.), Language and Communication in the Mathematics Classroom (pp. 85-101). Reston, VA: National Council of Teachers of Mathematics.
- Sfard, A. (2008). Thinking as Communicating: Human Development, the Growth of Discourses, and Mathematizing. Cambridge: Cambridge University Press.
- Sfard, A. (2014). Discursive approaches to learning mathematics. In S. Lerman (Ed.), Encyclopedia of Mathematics Education. (pp. 405-408). New York: Springer.
- Sfard, A., & Kieran, C. (2001). Cognition as communication: Rethinking learning-by-talking through multi-faceted analysis of students' mathematical interactions. Mind, Culture, and Activity, 8(1), 42-76. https://doi.org/10.1207/S15327884MCA0801_04
- Sfard, A., Nesher, P., Streefland, L., Cobb, P., & Mason, J. (1998). Learning mathematics through conversation: Is it as good as they say? For the Learning of Mathematics, 18(1), 41-51.
- Smith, M. S., & Stein, M. K. (2014). 효과적인 수학적 논의를 위해 교사가 알아야 할 5가지 관행, (방정숙 역). 서울: 경문사 (영어초판은 2013년 출판).
- Sorto, M. A., Mccabe, T., Warshauer, M., & Warshauer, H. (2009). Understanding the value of a question: An analysis of a lesson. Journal of Mathematical Sciences and Mathematics Education, 4(1), 50-60.
- Staples, M. (2007). Supporting whole-class collaborative inquiry in a secondary mathematics classroom. Cognition and Instruction, 25(2), 161-217. https://doi.org/10.1080/07370000701301125
- Tsui, A. B. M., Marton, F., Mok, I. A. C., & Ng, D. F. P. (2004). Questions and the space of learning. In F. Marton, & A. B. M. Tsui (Eds.), Classroom Discourse and the Space of Learning (pp. 113-137). Mahwah, NJ: Lawrence Erlbaum Associates.
- Vacc, N. N. (1993). Implementing the professional standards for teaching mathematics: Questioning in the mathematics classroom. The Arithmetic Teacher, 41(2), 88-91.
- Voigt, J. (1996). Negotiation of mathematical meaning in classroom processes: Social interaction and learning mathematics. In L. Steffe, P. Nesher, P. Cobb, G. Goldin, & B. Greer (Eds.), Theories of Mathematical Learning (pp. 21-50). Mahwah, NJ: Lawrence Erlbaum Associates.
- White, D. Y. (2003). Promoting productive mathematical classroom discourse with diverse students. The Journal of Mathematical Behavior, 22(1), 37-53. https://doi.org/10.1016/S0732-3123(03)00003-8
- Wong, E. D. (1991). Beyond the question/nonquestion alternative in classroom discussion. Journal of Educational Psychology, 83(1), 159-162. https://doi.org/10.1037/0022-0663.83.1.159
- Wood, T. (1998). Funneling or focusing? Alternative patterns of communication in mathematics class. In H. Steinbring, M. G. Bartolini Bussi, A. Sierpinska (Eds.), Language and Communication in the Mathematics Classroom (pp. 167-178). Reston, VA: National Council of Teachers of Mathematics.