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South Korean Elementary Teachers' Perception about Students' Mathematics Listening Ability

수학 청해력 유형에 관한 초등학교 교사의 인식 조사 연구

  • Received : 2022.09.01
  • Accepted : 2022.10.12
  • Published : 2022.10.31

Abstract

In mathematics classes, the verbal explanation may contain diverse mathematical concepts and principles in short sentences. It may also include mathematics symbols and terms that might not be used in everyday life. Therefore, students may need particular listening ability in order to understand and participate in mathematics communication. Unlike general listening, the listening ability for mathematics classes may require student to integrate their mathematical and linguistic knowledge. The aim of this study is to reveal the subdomains of listening ability for mathematics classes in a elementary school. I categorized listening ability for mathematics classes in a elementary school from the literature. The categories of listening ability for mathematics are Interpretive Listening, Evaluative Listening, Hermeneutic Listening, Selective Listening, Pretend Listening, and Ignored Listening. In order to develop a framework for understanding listening ability for mathematics classes, I investigated a hierarchy of 412 South Korean elementary teachers' perception. Through a web-based survey, the teachers were asked to rank order their beliefs about and students' listening ability. Findings show that teachers' perceptions about listening ability for mathematics classes are divergent from current research trends. South Korean elementary teachers perceived Interpretive Listening as the most important listening.

수학 수업에서 사용하는 음성 언어에는 비교적 짧은 문장에 많은 수학적 개념과 원리가 함축적으로 들어있을뿐더러 일상생활에서 사용하지 않는 기호와 수학 용어들이 포함되어 있다. 따라서 수학 수업에서 학생들은 일반적인 듣기와 달리 자신이 알고 있는 수학적·언어적 지식을 통합하여 음성 언어의 의미를 파악하는 듣기 능력이 필요하다. 본 연구에서는 일반적인 듣기와 구분하여 수학적 내용이 포함된 음성 언어를 이해하는 능력을 수학 청해력이라 지칭한다. 본 연구의 목표는 초등학교 학습자의 수학 청해력 유형을 구체화하고 그중 초등학교 교사가 수학 학습과 관련하여 적절하다고 인식하는 유형을 조사하는 데 있다. 본 연구에서는 선행연구 분석을 통해 수학 청해력 유형을 발견하며 듣기, 해석하며 듣기, 평가하며 듣기, 선택적으로 듣기, 듣는 척하기, 무시하기의 여섯 가지 형태로 구분하였다. 초등학교 교사 412명의 설문, 추가 20명과의 면담 결과를 분석한 통합연구 조사 결과 초등학교 교사들은 수학 청해력 여섯 가지 유형 중 해석하며 듣기를 가장 적절한 듣기 유형으로 인식하고 있었다. 본 연구의 조사 결과는 학생들의 수학 청해력 실태 조사와 교사의 수학 청해력의 지도 방법 개발을 위한 기초 자료로 활용될 수 있다.

Keywords

References

  1. 교육부(2015). 수학과 교육과정. 교육부 고시 제2015-74호 [별책 8].
  2. 김정원(2021). 초등학교 수학 교과서에서의 지속가능 발전 내용 분석. 수학교육, 60(2), 173-190.
  3. 노예솔, 문성재, 노정원, 이경화(2020). 수학적 창의성 발현 과정에 나타난 수학적 의사소통 패턴 연구: 한 경력교사의 문제해결 수업 사례를 중심으로. 학교수학, 22(4), 833-852.
  4. 방정숙, 김윤영, 선우진(2022). 분수의 나눗셈에 대한 초등학생의 수학적 의사소통 능력 분석. 초등수학교육, 25(2), 179-195.
  5. 이화영(2020). 2015 개정 초등학교 수학과 교육과정 역량, 기능, 성취기준 연계성 분석을 통한 교육과정 개선 방안 탐색. 수학교육, 59(4), 357-371.
  6. 조수현, 김구연(2021). 수학 교사의 교과서 이해 및 활용 의도 탐색. 수학교육, 60(1), 111-131.
  7. 한국교육개발원(2022). 교육통계 Retrieved September 2, 2022 from https://kess.kedi.re.kr/
  8. Albert, L. R., Kim, R., & Kwon, N. Y. (2014). A Hierarchy of South Korean Elementary Teachers Knowledge for Teaching Mathematics. Education Practice and Innovation, 1(2), 51-73. https://doi.org/10.15764/EPI.2014.02007
  9. Allen, D. (2013). More than just a listening ear. Nursing Standard, 27(49), 22-23. https://doi.org/10.7748/ns2013.08.27.49.22.s30
  10. Backlund, P. (1985). Essential speaking and listening skills for elementary school students. Communication Education, 34(3), 185-195. https://doi.org/10.1080/03634528509378606
  11. Barron, B. (2000). Achieving coordination in collaborative problem-solving groups. The Journal of the Learning Sciences, 9(4), 403-436. https://doi.org/10.1207/S15327809JLS0904_2
  12. Beall, M. L., Gill-Rosier, J., Tate, J., & Matten, A. (2008). State of the context: Listening in education. J ournal of Listening, 22(2), 123-132.
  13. Beard, D., & Bodie, G. D. (2014). Listening research in the communication discipline. In P. J. Gehrke & W. M. Keith (Eds.), The unfinished conversation: 100 years of communication studies. Routledge.
  14. Borko, H., & Putnam, R. (1996). Learning to teach. In D. Berliner & R. Calfee (Eds.), Handbook of educational psychology(673-708). Macmillan.
  15. Brent, R., & Anderson, P. (1994). Teaching kids how to listen. Education Digest, 59(5), 4.
  16. Campbell, R. (2011). The power of the listening ear. English J ournal, 100(5), 66.
  17. Charmaz, K. (2000). Grounded theory: Objectivist and constructivist methods. Handbook of qualitative research, 2(1), 509-535.
  18. Choate, J. S., & Rakes, T. A. (1987). The structured listening activity: A model for improving listening comprehension. The Reading Teacher, 41(2), 194-200.
  19. Cornelius, L. L., & Herrenkohl, L. R. (2004). Power in the classroom: How the classroom environment shapes students' relationships with each other and with concepts. Cognition and Instruction, 22(4), 467-498. https://doi.org/10.1207/s1532690Xci2204_4
  20. Covey, S. R. (1989). The 7 habits of highly successful people. Fireside.
  21. Davis, B. (1996). Teaching mathematics: Toward a sound alternative. Taylor & Francis.
  22. Davis, B. (1997). Listening for differences: An evolving conception of mathematics teaching. J ournal for Research in Mathematics Education, 28(3), 355-376. https://doi.org/10.2307/749785
  23. Delaney, S., Ball, D. L., Hill, H. C., Schilling, S. G., & Zopf, D. (2008). "Mathematical knowledge for teaching": Adapting US measures for use in Ireland. Journal of mathematics teacher education, 11(3), 171-197. https://doi.org/10.1007/s10857-008-9072-1
  24. Ferrari-Bridgers, F., Stroumbakis, K., Drini, M., Lynch, B., & Vogel, R. (2017). Assessing critical-analytical listening skills in math and engineering students: An exploratory inquiry of how analytical listening skills can positively impact learning. International Journal of Listening, 31(3), 121-141. https://doi.org/10.1080/10904018.2016.1222910
  25. Feyten, C. M. (1991). The power of listening ability: An overlooked dimension in language acquisition. The Modern Language Journal, 75(2), 173-180. https://doi.org/10.1111/j.1540-4781.1991.tb05348.x
  26. Forman, E. A. (2003). A sociocultural approach to mathematics reform: Speaking, inscribing, and doing mathematics within communities of practice. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 333-352). National Council of Teachers of Mathematics.
  27. Fiumara, G. C. (1990). The other side of language: A philosophy of listening. Routledge.
  28. Gresham, G. (2021). Exploring exceptional education preservice teachers' mathematics anxiety. International Journal for the Scholarship of Teaching and Learning, 15(2), 13. https://doi.org/10.20429/ijsotl.2021.150213
  29. Hamilton, M. B. (2003). Online survey response rates and times: Background and guidance for industry. Retrieved September 1, 2022, from http://www.supersurvey.com
  30. Haroutunian-Gordon, S., & Waks, L. (2010). Listening: Challenges for teachers. Teachers College Record, 112(11), 2717-2727. https://doi.org/10.1177/016146811011201107
  31. Hintz, A. (2011). Understanding students' experiences as listeners during mathematical discussion. Canadian Journal of Science, Mathematics and Technology Education, 11(3), 261-272. https://doi.org/10.1080/14926156.2011.595883
  32. Hintz, A. (2013). Strengthening discussions. Teaching Children Mathematics, 20(5), 318-324. https://doi.org/10.5951/teacchilmath.20.5.0318
  33. Hintz, A., & Tyson, K. (2015). Complex listening: Supporting students to listen as mathematical sense-makers. Mathematical Thinking and Learning, 17(4), 296-326. https://doi.org/10.1080/10986065.2015.1084850
  34. Hiebert, J. (1992). Reflection and communication: Cognitive considerations in school mathematics reform. International J ournal of Educational Research, 17(5), 439-456. https://doi.org/10.1016/S0883-0355(05)80004-7
  35. Hoyles, C. (1985). What is the point of group discussion in mathematics?. Educational Studies in Mathematics, 16(2), 205-214. https://doi.org/10.1007/PL00020740
  36. Hufferd-Ackles, K., Fuson, K. C., & Sherin, M. G. (2004). Describing levels and components of a math-talk learning community. J ournal for Research in Mathematics Education, 35(2), 81-116. https://doi.org/10.2307/30034933
  37. Jacobs, V. R., Lamb, L. L., & Philipp, R. A. (2010). Professional noticing of children's mathematical thinking. J ournal for Research in Mathematics Education, 41(2), 169-202. https://doi.org/10.5951/jresematheduc.41.2.0169
  38. Jansen, A. (2006). Seventh graders' motivations for participating in two discussion-oriented mathematics classrooms. The Elementary School J ournal, 106(5), 409-428. https://doi.org/10.1086/505438
  39. Jansen, A. (2010). Rough draft math: Revising to learn. Stenhouse.
  40. Johnson, R. B., & Onwuegbuzie, A. J. (2004). Mixed methods research: A research paradigm whose time has come. Educational Researcher, 33(7), 14-26. https://doi.org/10.3102/0013189X033007014
  41. Kraemer, K. L. (1991). The information systems research challenge: Survey re search methods, Harvard Business School Press.
  42. Kulm, G., & Li, Y. (2009). Curriculum research to improve teaching and learning: national and cross-national studies. ZDM, 41(6), 709-715. https://doi.org/10.1007/s11858-009-0217-1
  43. Luhmann, N. (1992). What is communication?. Communication Theory, 2(3), 251-259. https://doi.org/10.1111/j.1468-2885.1992.tb00042.x
  44. Mason, J. (2020). Questioning in mathematics education. Encyclopedia of Mathematics Education, 705-711.
  45. McCrone, S. (2005). The development of mathematical discussions: An investigation in a fifth-grade classroom. Mathematical Thinking & Learning, 7(2), 111-133. https://doi.org/10.1207/s15327833mtl0702_2
  46. O'Mara, D. A. (1981). The process of reading mathematics. Journal of Reading, 25(1), 22-30.
  47. Pehkonen, E., & Ejesbo, L. R. (2005). Levels of a teacher's listening when teaching open problems in mathematics. In Proceedings of the twenty-sixth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, October 2004, Toronto, Ontario, Canada (pp. 871-877).
  48. Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. Routledge & Kegan Paul.
  49. Rankin, P. T. (1928). The importance of listening ability. The English J ournal, 17(8), 623-630. https://doi.org/10.2307/803100
  50. Rashidova, N. H. (2019). How to improve listening skills. Theoretical & Applied Science, 11, 39-41. https://doi.org/10.15863/TAS.2019.11.79.10
  51. Resnick, L. B., Michaels, S., & O'Connor, C. (2010). How (well-structured) talk builds the mind. In D. D. Preiss & R. J. Sternberg (Eds.), Innovations in educational psychology: Perspectives on learning, teaching and human development (pp. 163-194). Springer.
  52. Robertson, K. (2005). Active listening: more than just paying attention. Australian Family Physician, 34(12), 1053-1055.
  53. Shavelson, R. J. (1988). Statistical reasoning for the behavioral sciences. Allyn & Bacon.
  54. Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge University Press.
  55. Stols, G., Ono, Y., & Rogan, J. (2015). What constitutes effective mathematics teaching? Perceptions of teachers. African Journal of Research in Mathematics, Science and Technology Education, 19(3), 225-236. https://doi.org/10.1080/10288457.2015.1080934
  56. Towne, L., & Shavelson, R. J. (2002). Scientific research in education. National Academy Press.
  57. Ur, P. (1984). Teaching listening comprehension. Cambridge University Press.
  58. Vygotsky, L. S. (1987). Thinking and speech. In L. S. Vygotsky, R. W. Rieber (Series Eds.), & A. S. Carton (Vol. Ed.), The collected works of L. S. Vygotsky. Vol. 1: Problems in general psychology (N. Minick, Trans.). Plenum.
  59. Wertsch, J. V. (1991). Voices of the mind: Sociocultural approach to mediated action. Harvard University Press.