$\require{mediawiki-texvc}$

연합인증

연합인증 가입 기관의 연구자들은 소속기관의 인증정보(ID와 암호)를 이용해 다른 대학, 연구기관, 서비스 공급자의 다양한 온라인 자원과 연구 데이터를 이용할 수 있습니다.

이는 여행자가 자국에서 발행 받은 여권으로 세계 각국을 자유롭게 여행할 수 있는 것과 같습니다.

연합인증으로 이용이 가능한 서비스는 NTIS, DataON, Edison, Kafe, Webinar 등이 있습니다.

한번의 인증절차만으로 연합인증 가입 서비스에 추가 로그인 없이 이용이 가능합니다.

다만, 연합인증을 위해서는 최초 1회만 인증 절차가 필요합니다. (회원이 아닐 경우 회원 가입이 필요합니다.)

연합인증 절차는 다음과 같습니다.

최초이용시에는
ScienceON에 로그인 → 연합인증 서비스 접속 → 로그인 (본인 확인 또는 회원가입) → 서비스 이용

그 이후에는
ScienceON 로그인 → 연합인증 서비스 접속 → 서비스 이용

연합인증을 활용하시면 KISTI가 제공하는 다양한 서비스를 편리하게 이용하실 수 있습니다.

담론적 관점에서 히스토그램의 의미와 과제 발문 분석
Analysis of the meaning of histogram and questioning in histogram tasks from a discursive perspective 원문보기

Journal of the Korean Society of Mathematical Education. Series A. The Mathematical Education, v.62 no.2, 2023년, pp.237 - 255  

김원 (고려대학교)

초록
AI-Helper 아이콘AI-Helper

본 연구에서는 담론적 관점에서 우리날 중학교 1학년 교과서 3종과 미국 CMP 교과서 담론에서 생성된 히스토그램의 의미를 분석하는 한편, 히스토그램 과제의 통계적 문제해결 단계별 발문의 특징을 조사하여 향후 히스토그램에 관한 교과서 담론 개선에 구체적인 아이디어를 제공하고자 한다. 분석 결과 첫째, 국내 교과서와 미국 CMP 교과서에서 히스토그램을 정의하는 방식의 차이가 있었고, 둘째, 교과서에서 히스토그램의 의미를 구성하는 담론적 구조는 다양했다. 셋째, 히스토그램 과제에 반영된 통계적 문제해결 단계가 제한적이었고, 넷째, 국내 교과서와 미국 CMP 교과서의 히스토그램 과제 발문에서 학생들에게 요구하는 활동에 차이가 나타났다. 이를 바탕으로 히스토그램을 정의하는 과정과 과제의 발문 개선에 대한 아이디어를 제안하고자 한다.

Abstract AI-Helper 아이콘AI-Helper

The objective of this study is to explore the meaning generated through discourse in three different types of 1st-grade middle school textbooks in Korea and CMP textbook in the United States, specifically focusing on histograms. Through a discursive perspective, the study aims to analyze the charact...

주제어

표/그림 (13)

참고문헌 (55)

  1. Alshwaikh, J. (2011). Geometrical diagrams as representation and communication: A functional analytic framework [Doctoral dissertation,?University of London]. 

  2. Alshwaikh, J. (2016). Investigating the geometry curriculum in Palestinian textbooks: towards multimodal analysis of Arabic mathematics discourse,?Research in Mathematics Education, 18(2), 165-181. https://doi.org/10.1080/14794802.2016.1177580 

  3. Bae, H., & Lee, D. (2016). An analysis on statistical units of elementary school mathematics textbook. Journal of Elementary Mathematics?Education in Korea, 20(1), 55-69. 

  4. Bakker, A. (2004). Design research in statistics education: On symbolizing and computer tools [Doctoral dissertation, Utrecht University]. https://dspace.library.uu.nl/handle/1874/893 

  5. Bargagliotti, A., Franklin, C., Arnold, P., Gould, R., Johnson, S., Perez, L., & Spangler, D. (2020). Pre-K-12 Guidelines for Assessment and?Instruction in Statistics Education (GAISE) report II. American Statistical Association. 

  6. Ben-Zvi, D., & Garfield, J. (Eds.). (2004). The challenge of developing statistical literacy, reasoning, and thinking(1st ed.). Springer. https://doi.org/10.1007/1-4020-2278-6 

  7. Bruno, A., & Espinel, M. C. (2009). Construction and evaluation of histograms in teacher training. International Journal of Mathematical Education?in Science & Technology, 40(4), 473-493. https://doi.org/10.1080/00207390902759584 

  8. Cooper, L. L., & Shore, F. S. (2008). Students' misconceptions in interpreting center and variability of data represented via histograms and stem-and-leaf plots. Journal of Statistics Education, 16(2), 1-13. https://doi.org/10.1080/10691898.2008.11889559 

  9. Cooper, L. L., & Shore, F. S. (2010). The effects of data and graph type on concepts and visualizations of variability. Journal of Statistics Education,?18(2), 1-16. https://doi.org/10.1080/10691898.2010.11889487 

  10. Derouet, C., & Parzysz, B. (2016). How can histograms be useful for introducing continuous probability distributions? ZDM Mathematics?Education, 48(6), 757-773. https://doi.org/10.1007/s11858-016-0769-9 

  11. Franklin, C., Kader, G., Mewborn, D., Moreno, J., Peck, R., Perry, M., & Scheaffer, R. (2007). Guidelines for assessment and instruction in statistics?education (GAISE) report: A pre-K-12 curriculum framework. American Statistical Association. 

  12. Friel, S. N., Curcio, F. R., & Bright, G. W. (2001). Making sense of graphs: Critical factors influencing comprehension and instructional implications.?Journal for Research in Mathematics Education, 32(2), 124-158. https://doi.org/10.2307/749671 

  13. Gal, I. (2002). Adults' statistical literacy: Meanings, components, responsibilities. International Statistical Review, 70(1), 1-25. https://doi.org/10.2307/1403713 

  14. Garfield, J. & Ben-Zvi, D (2007). How students learn statistics revisited: a current review of research on teaching and learning statistics.?International Statistical Review, 75(3), 372-396. https://doi.org/10.1111/j.1751-5823.2007.00029.x 

  15. Garfield, J. & Ben-Zvi, D. (2008). Developing students' statistical reasoning: Connecting research and teaching practice. Springer. 

  16. Hwang, H. J., Na, K. S., Choi, S. H., Park, K. M., Jang, J. H., & Seo, D. Y. (2019). New Perspectives on Mathematics Education 1 (Revised and?Enlarged Edition). Moonumsa. 

  17. Hwang, S., Kang, B., Yoon, G., Lee, K., Jang, H., Jung, J., & Cho, S. (2018). Middle school mathematics 1. Mirae-N. 

  18. Jacobbe, T., & Horton, R. (2010). Elementary school teachers' comprehension of data displays. Statistics Education Research Journal, 9(1), 27-45. 

  19. Kang, O., Kwon, E., Hwang, H., Jeon, D., Noh, J., Woo, H., Yun, S., Lee, H., Yoo, S., Yun, H., Hong, C., & Jung, K. (2018). Middle school?mathematics 1. Doosan Dong-A. 

  20. Kang, H., Shin, B., Ko, E., Lee, D., Shim, S., Kim, J., Ku, N., Jung, I., Choi, K., & Hong, J. (2014). Research on improvement of mathematics?curriculum for activation of statistics education [Research report No. 2014A039]. Korea Foundation for the Advancement Science & Creativity 

  21. Kaplan, J. J., Gabrosek, J. G., Curtiss, P., & Malone, C. (2014). Investigating student understanding of histograms. Journal of Statistics Education,?22(2), 1-30. https://doi.org/10.1080/10691898.2014.11889701 

  22. Kaplan, J., Lyford, A., & Jennings, J. K. (2018). Effects of question stem on student descriptions of histograms. Statistics Education Research?Journal, 17(1), 85-102. Retrieved from https://iase-web.org/documents/SERJ/SERJ17(1)_Kaplan.pdf. 

  23. Kim, E., & Lee, S. (2019). Statistics and Probability Education. Kyungmoonsa. 

  24. Kim, D., Park, T., Song, S., Lim, C., Yoo, Y., & Yeo, I. (2019). Research report on the improvement of elementary and middle school statistics?education curriculum. Korean Statistical Society. http://www.kss.or.kr/bbs/board.php?bo_tablepds_data&wr_id119 

  25. Kim, D., Shin, J., Lee, J., Lim, W., Lee, Y., & Choi, S. (2019). Conceptualizing discursive teaching capacity: A case study of a middle school?mathematics teacher. Schol Mathematics, 21(2), 291-318. http://doi.org/10.29275/sm.2019.06.21.2.291 

  26. Kim, W., Choi, S., & Kim, D. (2018a). A discursive approach to analysis of definition of graph in first year middle school textbooks.?Communications of Mathematical Education, 32(3), 407-433. http://doi.org/10.7468/jksmee.2018.32.3.407 

  27. Kim, W., Choi, S., & Kim, D. (2018b). Reconstruction and application of an analytic framework for discursive approach to interpretations of graph?-The case of a Korean textbook and CMP-. The Mathematical Education, 57(4), 433-452. https://doi.org/10.7468/mathedu.2018.57.4.433 

  28. Kim, S., & Kang, H. (2020). Exploring ways to improve statistics curriculum by analyzing secondary curriculum in foreign countries. School?Mathematics, 22(3), 631-650. https://doi.org/10.29275/sm.2020.09.22.3.631 

  29. Kim, B., & Kim, Y. (2019). Comparisons of the revised mathematics curriculum between korea and japan: focusing on statistics. Journal of Learner-Centered Curriculum and Instruction, 19(3), 495-523. http://dx.doi.org/10.22251/jlcci.2019.19.3.495 

  30. Kim, S. (2019). Exploration of foreign curriculums for the improvement of the Korean middle school statistical curriculum: Focusing on learning?elements in Korea, the United States, Singapore, and Japan. Journal of the Korean School Mathematics Society, 22(4), 501-520. http://doi.org/10.30807/ksms.2019.22.4.008 

  31. Konold, C., Higgins, T., Russell, S. J., & Khalil, K. (2015). Data seen through different lenses. Educational Studies in Mathematics, 88(3), 305-325.?https://doi.org/10.1007/S10649-013-9529-8 

  32. Kress, G. & Van Leeuwen, T. (2006). Reading images: The grammar of visual images. Routledge. 

  33. Lappan, G., Phillips, E. D., Fey, J. T., & Friel, S. N. (2014). Connected Mathematics 3 Grade 6. Pearson Education. 

  34. Leavy, A. (2006). Using data comparison to support a focus on distribution: Examining preservice teacher's understandings of distribution when?engaged in statistical inquiry. Statistics Education Research Journal, 5(2), 89-114. Retrieved from http://iase-web.org/documents/SERJ/SERJ5(2)_Leavy.pdf. 

  35. Lee, J., & Rim, H. (2021). Analysis of textbooks on statistical problem-solving process and statistical literacy. Journal?of the Korean School Mathematics Society, 24(2), 191-216. http://doi.org/10.30807/ksms.2021.24.2.002 

  36. Lee, K., Yoo, Y., & Tak, B. (2021). Towards data-driven statistics education: an exploration of restructuring the mathematics curriculum. School?Mathematics, 23(3), 361-386. http://doi.org/10.29275/sm.2021.09.23.3.361 

  37. Lee, Y., & Choi, J. (2008). An analysis of statistics chapter of the grade 7's current textbook in view of the distribution concepts. Journal of?Educational Research in Mathematics, 18(3), 407-434. 

  38. Marriott, J., Davies, N., & Gibson, L. (2009). Teaching, learning and assessing statistical problem solving. Journal of Statistics Education [Online],?17(1), 

  39. Ministry of Education. (2015). Mathematics curriculum (Annex 8 to Education Notice No. 2015-74). Ministry of Education. 

  40. Moore, D. S. (1990). Uncertainty. In L. A. Steen (Ed.), On the shoulders of giants(pp. 95-137). National Academy Press. 

  41. Morgan, C. (2016). Studying the role of human agency in school mathematics. Research in Mathematics Education, 18(2), 120-141. https://doi.org/10.1080/14794802.2016.1176595 

  42. Morgan, C., & Sfard, A. (2016). Investigating changes in high-stakes mathematics examinations: a discursive approach. Research in Mathematics?Education, 18(2), 92-119. https://doi.org/10.1080/14794802.2016.1176596 

  43. National Council of Teachers of Mathematics (2000). Principles and Standards for School Mathematics. NCTM. 

  44. O'Halloran, K. L. (2015). The language of learning mathematics: A multimodal perspective. The Journal of Mathematical Behavior, 40(Part A),?63-74. https://psycnet.apa.org/doi/10.1016/j.jmathb.2014.09.002 

  45. Park, J. H. (2015). On the supplementation of teaching informative text producing. Korean Writing Association, 24, 89-111. 

  46. Park, J. (2016). Communicational approach to study textbook discourse on the derivative. Educational Studies in Mathematics, 91(3), 395-421.?https://doi.org/10.1007/s10649-015-9655-6 

  47. Park, Y. (2016). An analysis of contents on statistics in elementary mathematics textbooks according to 2009 mathematics curriculum for elementary?school. Journal of Elementary Mathematics Education in Korea, 20 (1), 17-34. 

  48. Ryu, H., Sunwoo, H., Shin, B., Jung, D., Jang, Y., Seo, S., & Park, S. (2018). Middle school mathematics 1. Cheonjae Education. 

  49. Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge University Press. 

  50. Song, I., & Choi, S. (2023). The power of seeing the world clearly: Statistical perspective. Bartleby. 

  51. Stevens, S. P., & Palocsay, S. W. (2012). Identifying addressable impediments to student learning in an introductory statistics course. INFORMS?Transactions on Education, 12(3), 124-139. https://doi.org/10.1287/ited.1120.0085. 

  52. Tak, B., & Kim, D. (2020). An analysis on error types of graphs for statistical literacy education: Ethical problems at data analysis in the statistical?problem solving. Journal of Elementary Mathematics Education in Korea, 24(1), 1-30. 

  53. Watson, J. M. (1997). Assessing statistical thinking using the media. In I. Gal & J. B. Garfield (Eds.), The assessment challenge in statistics?education (pp. 107-121). IOS Press and The International Statistical Institute. 

  54. Watson, J. M. (2006). Statistical literacy at school: Growth and goals. Lawrence Erlbaum Associates. 

  55. Woo, J. H. (2017). The educational foundation of school mathematics (Vol. 3). Seoul National University Press. 

저자의 다른 논문 :

관련 콘텐츠

오픈액세스(OA) 유형

FREE

Free Access. 출판사/학술단체 등이 허락한 무료 공개 사이트를 통해 자유로운 이용이 가능한 논문

저작권 관리 안내
섹션별 컨텐츠 바로가기

AI-Helper ※ AI-Helper는 오픈소스 모델을 사용합니다.

AI-Helper 아이콘
AI-Helper
안녕하세요, AI-Helper입니다. 좌측 "선택된 텍스트"에서 텍스트를 선택하여 요약, 번역, 용어설명을 실행하세요.
※ AI-Helper는 부적절한 답변을 할 수 있습니다.

선택된 텍스트

맨위로