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An Analysis of Using TI-73 Calculator for the 5th Grade Students in an Elementary Math Gifted Class

TI-73 계산기를 활용한 초등 5학년 수학 영재 학급의 수업 분석

  • Received : 2013.10.30
  • Accepted : 2013.11.20
  • Published : 2013.12.31

Abstract

In this study, lessons on coordinate, percentage, and factorization in prime factors were taken with TI-73 calculator for 20 elementary school students in the 5th grade math gifted class in Pohang city. Through these lessons, the researcher examined with cases how using the calculator would influenced the lessons for the gifted students, and attempted to obtain implications on using calculators as learning tools in class. Activity sheets were made for this study and a 80-minute lesson was held three times for three weeks. In order to collect data, the class was recorded on videotape, the students were interviewed, and documents used in the class were collected. Then all the data were transcribed. Data analysis was completed through several readings of transcripts and main themes were derived by classifying, comparing, and contrasting coding. As a result of the study, the calculator played a role the tool as the mediation to communicate and the challenge their solvable tasks beyond the limitation of paper and pencil environments. But, in using the calculator, there was differences in gender between boys and girls. Above all, to enter commands into the calculator resulted in obstacles for learning process.

본 연구는 포항시에 소재하는 초등학교 5학년 수학 영재 학급 학생 20명을 대상으로 TI-73 계산기를 활용하여 좌표, 백분율, 소인수분해에 대한 수업의 질적 자료를 분석하였다. 이를 통해 계산기 활용이 영재 학생들의 학습에 어떤 영향을 미치는지 살펴보고, 계산기를 활용한 수업에 대한 시사점을 얻고자 하였다. 연구를 위해 이들 각 차시의 내용에 대해 활동지를 각각 제작하였고, 3주에 걸쳐 80분씩 3차례 수업을 진행하였다. 자료 분석을 위해 동영상 촬영, 학생과의 인터뷰, 문서 자료 등을 수집하였으며, 수집된 동영상, 녹음 자료는 녹취록을 작성하여 이를 토대로 코딩 작업을 하였다. 코드의 결합과 분해를 반복함으로써 초등 수학 영재 학생들의 계산기 사용에 대한 주제를 도출하였다. 본 연구 결과에 따르면, 의사소통을 매개하는 계산기, 지필환경의 범위를 넘어선 과제 해결을 위한 계산기, 계산기 활용에 대한 남녀의 성차 존재, 학습에 영향을 주는 계산기의 제한점이라는 네 가지 주제를 도출할 수 있었다.

Keywords

References

  1. 강병련.김희영 (2008). 대학부설 과학영재교육원 초등수학 교육과정 분석. 한국학교수학회지 시리즈 E<수학교육 논문집>, 22(1), 13-26. Kang, P. L. & Kim, H. Y. (2008). The analysis of elementary mathematics curicula of university attached science education institutes for gifted. Communications of Mathematical Education, 22(1), 13-26.
  2. 강윤수.이보라 (2004). TI-92 계산기를 활용한 이산수학의 이해과정 탐구: 행렬과 그래프 단원을 중심으로. 한국학교수학회논문집, 7(2), 81-97. Kang, Y. S. & Lee, B. R. (2004). Discrete mathematics using TI-92 calculator -Matrix and Graph-. Communications of Mathematical Education, 7(2), 81-97.
  3. 김미자 (2001). 초등 수학교육에서 계산기 활용 방안에 관한 연구, 미출판 석사학위논문, 서울교육대학교 교육대학원, 서울. Kim, M. J. (2001). A study on using calculators in elementary school mathematics. Unpublished a master's thesis, Seoul National University of Education, Seoul.
  4. 김부미 (2012). 우리나라의 ICT 환경 기반 수학 학습 현황 분석. 교과교육학연구, 16(3), 657-687. Kim, B. M. (2012). Analysis of mathematical learning based the ICT environment. Curriculum Education Research, 16(3), 657-687.
  5. 김상미 (2013). 초등수학분야 영재교육원의 교육내용 사례 비교 연구. 학교수학, 15(2), 429-442. Kim, S. M. (2013). A Comparative Study on Curricula for the Mathematically Gifted in Gifted Education Institutes attached Metropolitan Office of Education. School Mathematics, 15(2), 429-442.
  6. 김의식 (2002). 초등학교 수학에서 계산기 사용이 아동의 수학 학습력 및 성향에 미치는 영향, 미출판석사학위논문, 대구교육대학교 교육대학원, 대구. Kim, E. S. (2002). The effects of using a calculator in elementary math on children's math learning ability and disposition. Unpublished a master's thesis, Daegu National University of Education, Daegu.
  7. 김지연 (2011). 계산기를 활용한 수학학습이 수학 학습부진아의 문제해결력 및 수학 학습태도에 미치는 영향, 미출판 석사학위논문, 서울교육대학교 교육대학원, 서울. Kim, J. Y. (2011). The effect of mathematics learning using calculators on problem solving ability and attitude towards for low achieving students in mathematics. Unpublished a master's thesis, Seoul National University of Education, Seoul.
  8. 노영순 (2005). 우리나라 수학영재교육의 문제점과 개선방안. 한국수학교육학회논문집, 8(3), 383-409. Ro, Y. S. (2005). The problems and improvements of gifted education in mathematics in korea. Journal of the Korean School Mathematics Society, 8(3), 383-409.
  9. 류지헌 (2008). 초등학교 수학용 디지털교과서가 성별 및 적용환경에 따라 학업성취와 매체인식에 미치는 영향. 교육공학연구, 24(3), 53-83. Ryoo, J. H. (2008). The impact of classroom environment and gender gap of digital textbook for mathematics of elementary school on achievement and media perception. Korean Society for Engineering Education, 24(3), 53-83.
  10. 안병곤 (2005). 초등수학에서 계산기 활용에 대한 효과 분석. 학교수학, 7(1), 17-32. Ahn, B. G. (2005). An Analysis of Effective on Using Calculators in Elementary Mathematics. School Mathematics, 7(1), 17-32.
  11. 양순환 (2003). 초등학교 6학년 수학과 계산기 활용방안 연구, 미출판 석사학위논문, 한국교원대학교 교육대학원, 청주. Yang, S. H. (2003). A study of the use of calculators in the mathematics of sixth grade in elementary school. Unpublished a master's thesis, Korea National University of Education, Chungju.
  12. 우광식 (2005). 초등학교 수학 영재교육에 대한 사례조사 연구, 미출판 박사학위논문, 한국교원대학교 교육대학원, 청주. Woo, K. S. (2005). An investigation on some cases of mathematics gifted education for elementary school students. Unpublished doctoral dissertation, Korea National University of Education, Chungju.
  13. 이신동.이정규.박춘성 (2009). 최신영재교육학개론. 서울: 학지사. Lee, S. D., Lee, J. K. & Park, C. S. (2009). Introduction to gifted education. Hak Ji Sa.
  14. 이헌수 (2011). 테크놀로지를 활용한 수학 영재교육, 미출판 박사학위논문, 전남대학교 대학원, 광주. Lee, H. S. (2011). A study on the mathematics gifted education using technology. Unpublished doctoral dissertation, Chonnam National University, Kwangju.
  15. 전장표 (2000). 계산기 활용을 위한 교수 자료 개발에 관한 연구: 초등학교 4학년은 중심으로, 미출판 석사학위논문, 경인교육대학교 교육대학원, 인천. Chun, C. P. (2000). A study on development of teaching materials using calculator for 4th grade of elementary school. Unpublished a master's thesis, Kyungin National University of Education, Inchun.
  16. 정덕호.유대영 (2013). 사회연결망법을 이용한 과학영재들의 의사소통 구조 분석. Korean Earth Science Society, 34(1), 81-92. Chung, D. H. & Yoo, D. Y.(2013). A communication structure of science gifted students based on the social network analysis. Korean Earth Science Society, 34(1), 81-92. https://doi.org/10.5467/JKESS.2013.34.1.81
  17. 정수지 (2011). 초등 수학 영재 프로그램 평가: 서울시 A교육청 사례를 중심으로, 미출판 석사학위논문, 이화여자대학교 대학원, 서울. Jeong, S. J. (2011). Evaluation of the gifted education program for mathematically gifted children in the elementary school. Unpublished a master's thesis, Eewha Womans University, Seoul.
  18. 한광래.박해균.류재인 (2011). 과학영재 학생의 학습특성에 관한 사례연구-소집단에서의 언어적, 비언어적 상호작용을 중심으로-. 초등과학교육, 30(1), 51-60. Han, K. L., Park, H. G. & Ryu, J. I. (2011). A case study on the learning characteristics of science-gifted students in Jeonnam Province -Focused on verbal and nonverbal interactions in small group- . Elementary Science Education, 30(1), 51-60.
  19. 홍은자 (2004). 초등 수학 영재 교수-학습 프로그램분석, 미출판 석사학위논문, 서울교육대학교 교육대학원, 서울. Hong, E. J. (2004). Analysis of the programs for the mathematically gifted children in the elementary schools. Unpublished a master's thesis, Seoul National University of Education, Seoul.
  20. Campbell, P. F., & Stewart, E. L. (1993). Calculators and computers. In R. Jensen (Ed.), Early childhood mathematics (pp. 251-268). New York: Macmillian Pub. Co.
  21. Charles, R. (1999). Calculators and elementary school level? Yes, it just makes sense!. In Z. Usiskin (Ed.) Mathematics education dialogues (p.11), Reston, VA: NCTM.
  22. Discovering Mathematics with the TI-73: Activities for grades 5 and 6. from http://education.ti.com/en/us/activities/explorations-series-books/activitybook_73_discovering.
  23. Dixon, F., Cassidy, J., Cross, T., & Williams, D. (2005). Effects of technology on critical thinking and essay writing among gifted adolescents. Journal of Secondary Gifted Education, 16(4), 180-192. https://doi.org/10.4219/jsge-2005-482
  24. Doerr, H. M., & Zangor, R. (2000). Creating meaning for and with the graphing calculator. Educational Studies in Mathematics, 41(2), 143-163. https://doi.org/10.1023/A:1003905929557
  25. Elizabeth, S. (2007). Attitudes toward information technology of teachers of the gifted. Gifted Child Quarterly, 51(2), 119-135. https://doi.org/10.1177/0016986207299470
  26. Ellington, A. J. (2003). A meta-analysis of the effects of calculators on students’ achievement and attitude levels in precollege mathematics classes. Journal for Research in Mathematics Education, 34(5), 433-463. https://doi.org/10.2307/30034795
  27. Groves, S., & Stacey, K. (1988). Calculators in primary mathematics: Exploring number before teaching algorithms. In L. J. Morrow & M. J. Kenney (Eds.) The teaching and learning of algorithms in school mathematics (pp. 120-129). Reston, VA: NCTM.
  28. Guin, D., & Trouche, L. (1999). The complex process of converting tools into mathematical instruments: The case of calculators. International Journal of Computers for Mathematical Learning, 3(3), 195–227.
  29. Hardman, J. (2008). Researching pedagogy: an activity theory approach. Journal of Education, 45, 65-93.
  30. Hembree, R., & Dessart, D. J. (1992): Research on calculators in mathematics education. In J. T. Fey (Ed.), Calculators in mathematics education (pp.22-31). Reston, VA: NCTM.
  31. Hollar, J. C., & Norwood, K. (1999). The effects of a graphing approach intermediate algebra curriculum on students’ understanding of function. Journal for Research in Mathematics Education, 30(2), 220-226. https://doi.org/10.2307/749612
  32. Janet, D. (2008). A comparison of the mathematics achievement, attributes, and attitudes of fourth-, sixth-, and eighth-grade students, Unpublished doctoral dissertation, University of St. John's, New York.
  33. Jeong, A., & Davidson-Shiver, G. V. (2006). The effects of gender interaction patterns on student participation in computer supported collaborative argumentation. Educational Technology Research and Development, 54(6), 543-568. https://doi.org/10.1007/s11423-006-0636-4
  34. Knight, P., Pennant, J., & Piggott, J. (2004). What does it mean to “use the interactive whiteboard” in the daily mathematics lesson?. Micromathematics, 20(2), 14-16.
  35. Koshy, V., Ernest, P., & Casey, R. (2009). Mathematically gifted and talented learners: theory and practice. International Journal of Mathematical Education in Science and Technology, 40(2), 213-228. https://doi.org/10.1080/00207390802566907
  36. Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. Chicago: University of Chicago Press.
  37. Lagrange, J. B. (2005). Transposing computer tools from the mathematical sciences into teaching. In D. Guin, K. Ruventh, & L. Trouche (Eds.), The didactical challenge of symbolic calculators: Turning a computational device into a mathematical instrument (pp. 67-82). Dordrecht: Kluwer Academic Publishers.
  38. Lee, S., & Olszewski, K. (2006). A study of the instructional methods used in fast paced classes. The Gifted Child Quarterly, 50(3), 216-233. https://doi.org/10.1177/001698620605000303
  39. Mariotti, M. A. (2002). Influences of technologies advances in students' math learning. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 757-786), Mahwah, NJ: Lawrence Erlbaum Associates publishers.
  40. McAllister, B., & Poiurde, L. (2008). Enrichment curriculum: Essential for mathematically gifted students. Education, 129(1), 40-48.
  41. McCauliff, E. (2004). The calculator in the elementary classroom: Making a useful tool out of an ineffective crutch, Concept, 27, 1-13.
  42. McClure, L. (2001). Mathematics. In D. Eyre & L. McClure (Eds.), Curriculum provision for the gifted and talented in the primary school: English, maths, science and ICT (pp. 64-89). London: NACE/David Fulton Publishers.
  43. McCoach, B., & Reis, S. (2000). The underachievement of gifted students: What do we know and where do we go?. Gifted Child Quarterly, 44(3), 158-170.
  44. Prisen, F. R, Volman, M. L, L., & Terwel, J. (2007). Gender related differences in computer mediated communication and computer supported collaborative learning. Journal of Computer Assisted Learning, 23, 393-409. https://doi.org/10.1111/j.1365-2729.2007.00224.x
  45. Pyryt, M. (2003). Technology and the gifted. In N. Colangelo & G. Davis (Eds.), Handbook of gifted education (pp. 582-589). Boston: Allyn & Bacon.
  46. Reys, B. J., & Fran, A. (2001). Clearing up the confusion over calculator use in grades K–5. Teaching Children Mathematics, 8, 90–94.
  47. Rivera, F., & Becker, J. R. (2004). A sociocultural account of students' collective mathematical understanding of polynomial inequalities in instrumented activity. In Proceedings of the 28th conference of the international group for the psychology of mathematics education, 4, 81-88.
  48. Ruventh, K. (1990). The influence of graphic calculator use on translation from graphic to symbolic forms. Educational Studies in Mathematics, 21(5), 431-450. https://doi.org/10.1007/BF00398862
  49. Sheffield, L.J. (1999) Serving the needs of the mathematically promising. In L. J. Sheffield (Ed.), Developing mathematically promising students (pp. 43-55). Reston, VA: National Council of Teachers of Mathematics.
  50. Siegle, D. (2004). Identifying students with gifts and talents in technology. Gifted Child Today, 27(4), 30-33. https://doi.org/10.4219/gct-2004-146
  51. Stiff, L. (2001). Making calculator use add up. NCTM News Bulletin 37. Retrieved from http://www.nctm.org/about/content.aspx?id=1242.
  52. Surgenor, P. (2007). Pressing the right buttons: Calculator use in schools and in junior cycle mathematics: Summary report on phase II of the study of the effects of calculator use on mathematics in schools and in certificate examinations. Ireland: St. Patrick's College.
  53. Tomlison, C. (2009). Learning profiles and achievement: Do learning preferences have a place in promoting student success in the classroom?. School Administrator, 66(2), 28-34.
  54. Treffinger, D. J. (1975) Teaching for self-directed learning: A priority for the gifted and talented. Gifted Child Quarterly, 19(1), 46-59. https://doi.org/10.1177/001698627501900109
  55. Trouche, G. (2005). An instrumental approach to mathematics learning in symbolic calculators environments. In D. Guin, K. Ruventh, & L. Trouche (Eds.), The didactical challenge of symbolic calculators: Turning a computational device into a mathematical instrument (pp. 137-162). Dordrecht: Kluwer Academic Publishers.
  56. Van Devender, E., & Rice, D. (1984). Improving instruction in elementary mathematics with calculators. School Science and Mathematics, 84, 633-643. https://doi.org/10.1111/j.1949-8594.1984.tb09578.x
  57. Williams, D. (1987). Using calculators in assessing mathematics achievement. Arithmetic Teacher, 34(20), 21-23.
  58. Winebrenner, S. (2000). Gifted students need an education, too. Educational Leadership, 58(1), 52-56.