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The Understanding on the Noticing in Mathematics Education

수학 교과에서의 주목하기(Noticing)에 관한 이해

  • Received : 2021.08.19
  • Accepted : 2021.08.31
  • Published : 2021.08.31

Abstract

There have been gradually a few studies on Noticing in the domestic and international area. For the purpose of increasing the concern on teacher noticing and pursuing the affluent studies on the noticing, this study tried to explore and understand the background, the meaning, and the properties of the teacher noticing while summing up the views of the various researchers. As a result, the teacher noticing could be defined as a cognitive process which is focused on mathematical objects, students' mathematical thinking, students' emotions, teaching strategies, classroom environment and interprets them to determine how to react. From this, noticing might be cognitive process which is a combined form of the objects and cognitive behavior, while the objects whom teachers notice covers up the mathematical objects and the teaching objects. Eventually, this study expects to serve as a basis to foster the in-depth understanding of teacher noticing and to derive the follow-up studies.

Keywords

References

  1. 고창규 (2013). 초등교사들이 수업평가에서 주목하지 못하는 수업내용. 학습자중심교과교육연구, 13(6), 569-597.
  2. 권나영, 이민희(2019). 중등예비수학교사의 활동 일지에서 살펴본 노티싱의 특징. 한국학교수학회논문집, 22(1), 63-80. https://doi.org/10.30807/ksms.2019.22.1.004
  3. 김선희 (2004). 수학적 지식 점유에 관한 기호학적 고찰. 박사학위논문, 이화여자대학교.
  4. 김슬비 (2019). 교사와 학생의 수학적 주목하기의 차이에 따른 교수 전략 탐색. 박사학위논문, 이화여자대학교.
  5. 김슬비, 이종희(2019). 일차함수의 그래프에서 교사와 학생의 수학적 주목하기 차이에 관한 설명적 사례연구. 교과교육학연구, 23(5), 422-434. https://doi.org/10.24231/RICI.2019.23.5.422
  6. 김희정, 한채린, 배미선, 권오남 (2017). 수학 교사의 주목하기와 반응적 교수의 관계: 모든 학생의 수학적 사고 계발을 지향하는 수업 상황에서. 수학교육, 56(3), 341-363.
  7. 선우진, 방정숙(2019). 국내 수학 교사교육 연구의 동향 분석: 2000년 이후 게재된 한국수학교육학회의 학술지 논문을 중심으로. 한국수학교육학회, 58(1), 121-138. https://doi.org/10.7468/MATHEDU.2019.58.1.121
  8. 박미미, 김연. (2020). 수학적 논의 수업의 설계와 실행에서 교사의 주목하기. 학교수학, 22(3), 763-790.
  9. 방정숙(2014). 예비교사의 초등 수학 수업에 대한 기술과 비평의 변화. 한국초등수학교육학회지, 15(2), 221-246.
  10. 방정숙, 선우진(2015). 예비교사의 초등 수학 수업에 대한 비평 수준 분석. 한국초등수학교육학회지, 19(4), 625-647.
  11. 방정숙, 선우진(2016). 교육실습 및 수업 논의를통한 예비 교사들의 초등 수학 수업에 대한비평 변화. 한국초등수학교육학회지, 20(2), 259-281.
  12. 방정숙, 권민성, 선우진 (2017). 수학 교육에서 노티싱(Noticing) 연구의 동향과 과제. 학교수학 19(4), 795-817.
  13. 신동조 (2021). 동료의 문제 만들기 과제를 평가하는 과정에서 나타난 예비교사의 주목하기: 순열과 조합을 중심으로. 한국학교수학회논문집, 24(1), 19-38. https://doi.org/10.30807/ksms.2021.24.1.002
  14. 이수진, 박종희 (2018). 과제 대화록에 나타난 중등수학 예비교사들의 수학적 주목하기. 학교수학, 20(3), 425-443.
  15. 이윤미, 이수진 (2018). 수업평가와 수업성찰에서 나타나는 예비 중등 수학교사의 주목하기. 학교수학, 20(1), 185-207.
  16. 이은정, 이경화 (2016). 교사의 사전 주목하기와 수학수업에서 실제 주목하기에 관한 연구. 학교수학, 18(4), 773-791.
  17. 이진아, 이수진 (2019). 중등 수학 예비교사의 수업 과정에서 보여지는 '수학적 주목하기(Mathematical Noticing)'. 학교수학, 21(3), 561-589.
  18. 지현옥 (2021). 과제 대화록 작성하기 활동에 나타난 중등수학 예비교사들의 수학적 주목하기. 한국교원대학교 석사학위논문.
  19. 황혜정, 유지원(2021). 수학적 주목하기에 관한 예비 중등교사들 간의 차이 발생요인 분석 및 실천적 지식 함양 방안, 한국학교수학회논문집, 24(1), 127-150. https://doi.org/10.30807/ksms.2021.24.1.007
  20. Ball, D. L. (2011). Foreword. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. xx-xxiv). New York: Routledge.
  21. Barnhart, T., & van Es, E. (2015). Studying teacher noticing: Examining the relationship among pre-service science teachers' ability to attend, analyze and respond to student thinking. Teaching and Teacher Education, 45, 83-93. https://doi.org/10.1016/j.tate.2014.09.005
  22. Dreher, A., & Kuntze, S. (2015). Teachers' professional knowledge and noticing: The case of multiple representations in the mathematics classroom. Educational Studies in Mathematics, 88(1), 89-114. https://doi.org/10.1007/s10649-014-9577-8
  23. Erickson, F. (2011). On noticing teacher noticing. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 17-34). New York: Routledge.
  24. Goldsmith, L. T., & Seago, N. (2011). Using classroom artifacts to focus teachers' noticing: Affordnaces and opportunities. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 169-187). New York: Routledge.
  25. Goodwin, C. (1994). Professional vision. American anthropologist, 96(3), 606-633. https://doi.org/10.1525/aa.1994.96.3.02a00100
  26. Huang, R., & Li, Y. (2012). What matters most: A comparison of expert and novice teachers' noticing of mathematics classroom events. School science and mathematics, 112(7), 420-432. https://doi.org/10.1111/j.1949-8594.2012.00161.x
  27. Jacobs, V. R., Lamb, L. L., & Philipp, R. A. (2010). Professional noticing of children's mathematical thinking. Journal for Research in Mathematics Education, 41(2), 169-202. https://doi.org/10.5951/jresematheduc.41.2.0169
  28. Jacobs, V. R., Lamb, L. L., Philipp, R. A., & Schappelle, B. P. (2011). Deciding how to respond on the basis of children's understandings. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 97-116). New York: Routledge.
  29. Kilpatrick, J., Blume, G., Heid, M. K., Wilson, J., Wilson, P., & Zbiek, R. M. (2015). Mathematical understanding for secondary teaching: A framework. In M. K. Heid, P. S. Wilson, & G. W. Blume (Eds.), Mathematical Understanding for Secondary Teaching: A framework and classroom-based situations (pp. 9-30). Information Age Publishing Inc. and NCTM.
  30. Krupa, E. E., Huey, M., Lesseig, K., Casey, S., & Monson, D. (2017). Investigating secondary preservice teacher noticing of students' mathematical thinking. In E. O. Schack, M. H. Fisher, & J. A. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 49-72). Switzerland: Springer International Publishing AG.
  31. Lee, M. Y., & Choy, B. H. (2017). Mathematical teacher noticing: The key to learning from lesson study. In E. O. Schack, M. H. Fisher, & J. A. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 121-140). Switzerland: Springer International Publishing AG.
  32. Liu, Y. (2014). Teachers' in-the-moment noticing of sudents' mathematical thinking: A case study of two teachers. Published doctoral dissertation, The University of North Carolina.
  33. Lobato, J., Hohensee, C., & Rhodehamel, B. (2013). Students' mathematical noticing. Journal for Research in Mathematics Education, 44(5), 809-850. https://doi.org/10.5951/jresematheduc.44.5.0809
  34. Lobato, J., Rhodehamel, B., & Hohensee, C. (2012). "Noticing" as an alternative transfer of learning process. Journal of the Learning Sciences, 21(3), 433-482. https://doi.org/10.1080/10508406.2012.682189
  35. Mason, J. (2002). Researching your own practice: The discipline of noticing. London: RoutledgeFalmer.
  36. Mason, J. (2011). Noticing: Roots and branches. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 35-50). NY, New York: Routledge.
  37. Miler, K. F. (2011). Situation awareness in teaching: What educators can learn from video-based research in other fields. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 51-65). NY, New York: Routledge.
  38. Robinson, P. (1995). Attention, memory, and the "noticing" hypothesis. Language Learning, 45(2), 283-331. https://doi.org/10.1111/j.1467-1770.1995.tb00441.x
  39. Saenz-Ludlow, A. (2006). Classroom interpreting games with an illustration. Educational Studies in Mathematics, 61(1-2), 183-218. https://doi.org/10.1007/s10649-006-5760-x
  40. Santagata, R. (2011). From teacher noticing to a framework for analyzing and improving classroom lessons. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 152-168). New York: Routledge.
  41. Santagata, R., & Yeh, C. (2014). Learning to teach mathematics and to analyze teaching effectiveness: evidence from a video- and practice-based approach. Journal of Mathematics Teacher Education, 17, 491-514. https://doi.org/10.1007/s10857-013-9263-2
  42. Schoenfeld, A. H. (2011). Noticing matters. A lot. Now what?. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 223-238). New York: Routledge.
  43. Sherin, M. G., & van Es, E. A. (2009). Effects of video club participation on teachers' professional vision. Journal of teacher education, 60(1), 20-37. https://doi.org/10.1177/0022487108328155
  44. Sherin, M. G., Russ, R. S., & Colestock, A. A. (2011). Acessing mathematics teachers' in-the-moment noticing. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 79-94). New York: Routledge.
  45. Spitzer, S. M., & Phelps-Gregory, C. M. (2017). Using mathematical learning goals to analyze teacher noticing. In E. O. Schack, M. H. Fisher, & J. A. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 303-320). Switzerland: Springer International Publishing AG.
  46. Star, J. R., Lynch, K., & Perova, N. (2011). Using video to improve preservice mathematics teachers' abilities to attend to classroom features: A replication study. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 79-94). New York: Routledge.
  47. Star, J. R., & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice mathematics teachers' ability to notice. Journal of Mathematics Teacher Education, 11, 107-125. https://doi.org/10.1007/s10857-007-9063-7
  48. Sturmer, K., & Seidel, T. (2017). A standardized approach for measuring teachers' professional vision: The observer research tool. In E. O. Schack, M. H. Fisher, & J. A. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 359-380). Switzerland: Springer International Publishing AG.
  49. van Es, E. A. (2011). A framework for learning to notice student thinking. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers' eyes (pp. 134-151). New York: Routledge.
  50. van Es, E. A., & Sherin, M. G. (2002). Learning to notice: Scaffolding new teachers' interpretations of classroom interactions. Journal of Technology and Teacher Education, 10(4), 571-596.
  51. van Es, E. A., & Sherin, M. G. (2006). How different video club designs support teachers in "learning to notice". Journal of computing in teacher education, 22(4), 125-135.
  52. van Es, E. A., & Sherin, M. G. (2008). Mathematics teachers' "learning to notice" in the context of a video club. Teaching and Teacher Education, 24(2), 244-276. https://doi.org/10.1016/j.tate.2006.11.005