The Mathematical Education (한국수학교육학회지시리즈A:수학교육)

Korean Society of Mathematical Education (한국수학교육학회)
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A study on the development of assessment tools using graphing calculators for the assessment of mathematical process -focused on middle school mathematics-

그래핑 계산기를 활용한 수학적 과정의 평가도구 개발에 관한 연구 -중학교 수학을 중심으로-

  • Received : 2014.01.16
  • Accepted : 2014.05.12
  • Published : 2014.05.31
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Abstract

The purpose of this study was to develop the assessment tools using graphing calculators for the assessment of the mathematical process which was emphasized in 2009 reformed mathematics curriculum. In this paper, we presented three sample calculator-based test items for the assessment of students' mathematical process abilities and scoring rubrics for the paper and pencil assessment and assessment based on observation on each item. In order to improve mathematics teachers' understanding of the assessment tools using graphing calculators and to show the procedures of assessment using technological devices, we also drew up assessment guidelines. We hope the results of the study contribute to the promotion of assessment environment encouraging the use of graphing calculators in assessments.

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References

  1. 고상숙, 고호경, 박만구, 홍예윤, 한혜숙 (2012). 수학교육평가론, 서울: 경문사. Koh, S., Ko, H., Park, M., Hong, Y., & Han, H. (2012). Evaluation of mathematics education, Seoul: Kyungmoonsa.
  2. 고상숙, 박만구, 한혜숙, 홍예윤, 유기종, 이순용 외 (2013). 교구 및 공학도구를 활용한 수학적 과정중심평가 기반 조성, 서울: 한국과학창의재단. Koh, S., Park, M., Han, H., Hong, Y., Yoo, G., & Lee, S., et al. (2013). Building the foundation of process-based assessment using manipulatives and technologies, Seoul: Korea Foundation for the Advancement of Science and Creativity research report.
  3. 박인혜 (2013). CAS형 그래핑 계산기 활용 환경에서 고등학교 수학교과서 평가문항. 석사학위논문, 건국대학교. Park, I. (2013). Investigation to high school mathematics assessment items in CAS calculators environment. Master's thesis, Kunkook University.
  4. 박혜숙, 이재학, 김홍종, 백석윤, 박경미, 송용진 외 (2009). 창의 중심의 미래형 수학과 교육과정 모형 연구, 서울: 한국과학창의재단. Park, H., Lee, J., Kim, H., Paik., S., Park. K., & Song, Y. et al. (2009). A study on the model of future-oriented mathematics curriculum focusing on creativity. Seoul: Korea Foundation for the Advancement of Science & Creativity.
  5. 신준식, 고정화, 박문환, 박성선, 서동엽 (2011). 수학적사고력 측정을 위한 수학 평가 도구의 개발, 한국초등수학교육학회지 15(3), 619-640. Shin, J., Ko, J., Park, M., Park, S., & Seo, D. (2011). Development of the items for the assessment of mathematical thinking, Journal of Elementary Mathemtics Education in Korea 15(3), 619-640.
  6. 이종희, 김선희, 채미애 (2001). 수학적 의사소통 능력의 평가기준 개발, 수학교육학연구 11(1), 207-221. Lee, C., Kim, S., & Chae, M. (2001). The assessment rubric development of mathematical communication ability, The Journal of Educational Research in Mathematics 11(1), 207-221.
  7. 전평국, 김은희, 김원경 (2002). 수학적 추론 능력 평가기준에 관한 연구, 수학교육논문집 13(2), 425-455. Jeon, P., Kim, E., & Kim, W. (2002). A study on the scoring framework for mathematical reasoning ability, Communications of Mathematical Education 13(2), 425-455.
  8. 정상권, 이경화, 유연주, 신보미, 김구연 (2012). 2011년 과정중심의 수학교과 평가방안 연구, 서울: 한국과학창의재단. Chung, S., Lee, K., Yoo, Y., Shin. B., & Kim, G. (2012). A study on process-focused assessment in school mathematics. seoul: Korea Foundation for the Advancement of Science and Creativity research report.
  9. 조지민, 동효관, 옥현진, 임해미, 정혜경, 손수경, 배제성 (2012). OECD 국제 학업성취도 평가 연구: PISA 2012 본검사 시행 보고서. 한국교육과정평가원. RRE 2012-3-1. Cho, J., Dong, H., Ok, H., Rim, H., Jung, H., & Son, S., et al. (2012). Programme for international student assessment(PISA 2012) main survey technical report. RRE 2012-3-1, KICE.
  10. 하미란 (2013). 그래핑 계산기를 활용한 서술형 평가문항개발에 관한 연구-중학교 9-나 단계 통계 단원을 중심으로-. 석사학위논문. 부산대학교. Ha. M. (2013). A study of development of problems for descriptive evaluation using symbolic graphing calculator TI-92. Master's thesis, Pusan National University.
  11. 홍예윤 (2011). 대학수학능력시험에서 그래픽 계산기 도입에 관한 고찰: 뉴질랜드 사례를 중심으로. 교사교육연구, 50(3), 105-118. Hong, Y. Y.(2011). Grapic calculator and university entrance examination: the case in New Zealand. Teacher Education Research, 50(3), 105-118.
  12. 홍예윤, 고상숙 (2012). 그래핑 계산기를 활용한 평가방안: 미적분관련 문제를 중심으로. 교과교육학연구, 16(4). 1045-1069. Hong. Y. Y. & Cho-Koh, S. S.(2012). Some ideas about mathematical assessment using a graphing calculator: problems with differential & integral calculus. Journal of Research in Curriculum Instruction, 16(4). 1045-1069.
  13. Adams, T.L. (1997). Technology makes a difference in community college mathematics teaching, Community College Journal of Research and Practice 21(5), 481-491. https://doi.org/10.1080/1066892970210502
  14. Anderson, M., Bloom, L., Mueller, U., & Pedler, P. (1999). The impact of the graphics calculator on the assessment of calculus and modeling, International Journal of Mathematical Education in Science and Technology 30(4), 489-498. https://doi.org/10.1080/002073999287770
  15. Borwein, J.M. (2005). The experimental mathematician: the pleasure of discovery and the role of proof. International Journal of Computers for Mathematical Learning 10(2), 75-108. https://doi.org/10.1007/s10758-005-5216-x
  16. Bradley, J. (1995). Technology and assessment - An international experience, Paper presented at the 5th Annual Australian Bridging Mathematics Network Conference, Batchelor, NT.
  17. Bradley, J., Kissane, B., & Kemp, M. (1996). Graphics calculators in the mathematics curriculum : Integration or differentiation? In J. Abbott & L. Wilcoxson (Eds.), Teaching and learning within and across disciplines: Teaching and Learning Forum (21-26). Academic Services Unit, Murdoch University.
  18. Cavanagh, M. (2005). Working mathematically: The role of graphics calculators. In M. Coupland, J. Anderson, & T. Spencer (Eds.), Making mathematics vital: Proceedings of the 20th biennial conference of the Australian Association of Mathematics Teachers (80-86). Adelaide: Australian Association of Mathematics Teachers.
  19. Collins, A. and Bielaczyc, K. (1997) Dreams of technology-supported learning communities, Proceedings of the Sixth International Conference on Computer-Assisted Instruction, Taiwan.
  20. Forster, P.A. & Mueller, U. (2002). Assessment in calculus in the presence of graphing calculators. Mathematics Education Research Journal 14(1), 16-36. https://doi.org/10.1007/BF03217114
  21. Harvey, J.G. (1992). Mathematics testing with calculators: Ransoming the hostages. In T.A.Romberg (Ed.), Mathematics assessment and evaluation: Imperatives for mathematics educators (149-174). Washington, DC: National Academy Press.
  22. Kemp, M., Kissane, B., & Bradley, J. (1996). Graphics calculator use in examinations: accident or design? Australian Senior Mathematics Journal 10(1), 33-50.
  23. Kissane, B., Kemp, M. and Bradley, J. (1996) Graphics calculators and assessment. In: 8th International Congress on Mathematics Education, Spain.
  24. Kissane, B., Kemp, M., & Bradley, J. (1995). Student reactions to the use of graphics calculators. In S. Flavel & I. Isaacs (Eds.). Proceedings of the Mathematics Education Research Group of Australasia 18th Annual Conference (235-241). Darwin, NT.
  25. National Academy of Science (1993). Measuring What counts: A Conceptual Guide for Mathematics Assessment. Washington, DC: National Academy Press.
  26. National Council of Teachers of Mathematics (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: National Council of Teachers of Mathematics.
  27. National Council of Teachers of Mathematics (1991). National Council of Teachers of Mathematics Position Statement: Calculators and the Education of Youth. Reston, VA: National Council of Teachers of Mathematics.
  28. National Council of Teachers of Mathematics (1999). Mathematics Assessment: A Practical Handbook for Grades 9-12. Reston, VA: National Council of Teachers of Mathematics.
  29. National Council of Teachers of Mathematics (2000a). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
  30. National Council of Teachers of Mathematics (2000b). Mathematics Assessment: A Practical Handbook for Grades 6-8. Reston, VA: National Council of Teachers of Mathematics.
  31. Malone, J.A., Douglas, G.A., Kissane, B.V., & Mortlock, R.S. (1980). Measuring problem-solving ability. In S. Krulik & R. E. Reys (Eds.), Problem solving in school mathematics. 1980 Yearbook of the National Council of Teachers of Mathematics (204-215). Reston, VA: National Council of Teachers of Mathematics.
  32. Senk, S.L., Beckmann, C.E., & Thompson, D.R. (1997). Assessment and grading in high school mathematics classrooms. Journal for Research in Mathematics Education 28(2), 187-215. https://doi.org/10.2307/749761
  33. Trouche, L. (2004). Managing the complexity of human/machine interactions in computerized learning environments: Guiding students' commans process through instrumental orchestrations. International Journal of Computers for Mathematical Learning 9(3), 281-307. https://doi.org/10.1007/s10758-004-3468-5