DOI QR코드

DOI QR Code

함수 영역 문제해결 협력학습 과정에서 문제 유형에 따른 중학생의 인지부하 분석

The cognitive load of middle school students according to problem types in collaborative learning for solving the function problems

  • 투고 : 2018.03.29
  • 심사 : 2018.05.14
  • 발행 : 2018.05.31

초록

From the assumption that an individual's working memory capacity is limited, the cognitive load theory is concerned with providing adequate instructional design so as to avoid overloading the learner's working memory. Based on the cognitive load theory, this study aimed to provide implications for effective problem-based collaborative teaching and learning design by analyzing the level of middle school students' cognitive load which is perceived according to the problem types(short answer type, narrative type, project) in the process of collaborative problem solving in middle school function part. To do this, this study analyzed whether there is a relevant difference in the level of cognitive load for the problem type according to the math achievement level and gender in the process of cooperative problem solving. As a result, there was a relevant difference in the task burden and task difficulty perceived according to the types of problems in both first and second graders in middle schools students. and there was no significant difference in the cognitive effort. In addition, the efficacy of task performance differed between first and second graders. The significance of this study is as follows: in the process of collaborative problem solving learning, which is most frequently used in school classrooms, it examined students' cognitive load according to problem types in various aspects of grade, achievement level, and gender.

키워드

참고문헌

  1. 고호경, 고상숙 (2008). 중학교 함수의 수학화 과정에서의 성차 연구. 수학교육 47(3). 273-290. (Ko, H. & Koh, S. (2008). Gender differential, mathematization, function, graphing calculator, mathematical achievement, The Mathematical Education 47(3), 273-290.)
  2. 김준, 송기상 (2009). 이러닝 적용을 위한 뇌파기반 인지부하 측정. 인지과학 20(2), 125-154. (Kim, J. & Song, K. (2009). EEG based cognitive load measurement for e-learning application, Korean Journal of Cognitive Science 20(2), 125-154.)
  3. 류지헌 (2009). 학습자의 전문성 수준과 과제난이도가 인지부하요인 및 과제수행에 미치는 영향. 교육정보미디어연구 15(4), 1-19. (Ryu, J. (2009). The effects of learner expertise and task difficulty on cognitive load factors and performance, The Journal of Educational information and Media 15(4), 1-19.)
  4. 류지헌 (2011). 멀티미디어 학습자료 설계를 위한 인지부하 설문의 민감도 분석 및 학습 성취에 대한 예언변수 분석. 교육정보미디어연구 17(3), 309-332. (Ryu, J. (2011). Sensitivity of cognitive load factors and prediction for learning achievement upon the levels of task in multimedia learning, The Journal of Educational information and Media 17(3), 309-332.)
  5. 류지헌 (2012). 멀티미디어 학습에서의 인지부하 측정을 위한 다차원 척도의 개발 및 타당화. 2009년도 기초연구과제지원사업 결과 보고서 KRF-2009-327-B00541. (Ryu, J. (2012). Development and construct validation of the multidimensional cognitive load scale for multimedia learning. Seoul: National Research Foundation of Korea. Result Report KRF-2009-327-B00541.)
  6. 류지헌, 임지현 (2009). 인지부하 측정을 위한 구인의 탐색 및 타당화. 교육정보미디어연구 15(2), 1-27. (Ryu, J. & Yim, J. (2009). An exploratory validation for the constructs of cognitive load, The Journal of Educational information and Media 15(2), 1-27.)
  7. 시지현 (2016). 복잡한 과제에서 협력학습 효율성에 대한 정서적 설명: 인지부하 이론의 관점에서. 교육공학연구 32(1), 113-137. (Si, J. (2016). An affective explanation of collaborative learning efficiency with complex tasks: within the cognitive load perspective. Journal of Educational Technology 32(1), 113-137.)
  8. 양유정 (2013). 비구조화 복잡과제 학습에서 협력학습 방식이 인지부하 및 학습성과에 미치는 효과. 교육공학연구 29(4), 909-936. (Yang, Y. (2013). Effects of collaborative approaches on cognitive load and learning performance in complex and ill-structured tasks. Journal of Educational Technology 29(4), 909-936.)
  9. 오선아, 김연순 (2006). 선행조직자 유형이 학업성취도와 작동기억 인지부하에 미치는 효과. 교육공학연구 22(4), 55-82. (O, S. & Kim, Y. (2006). The effect of advance organizer on cognitive load and learning achievement. Journal of Educational Technology 22(4), 55-82.)
  10. 이봉주 (2010). 초․중․고등학생의 수학과 내용 영역별 학업성취도 비교 분석 -2003-2008년 국가수준 학업성취도 평가 결과를 중심으로. 한국수학사학회지 23(4), 59-82. (Lee, B. (2010). A comparative analysis on educational achievement in mathematics classifying by content areas of the primary and secondary school students, Journal for History of Mathematics 23(4), 59-82.)
  11. 이세형, 유윤재 (2017). 스토리텔링 기반 수학 교과서에 대한 초등학교 4학년 학생들의 인지부하 분석-' 수와 연산' 영역의 한 주제를 중심으로-. 수학교육 56(1), 1-17. (Lee, S. & You, Y. (2017). The 4th grade elementary students' cognitive load of mathematics textbooks based on Storytelling - focused on one theme in 'number and operations' -, The Mathematical Education 56(1), 1-17.)
  12. 이영경, 김은숙, 이하우, 조완영 (2016). 통합적 이해의 관점에서 중학교 학생들의 함수 개념 이해 분석. 수학교육논문집 30(2), 199-223. (Lee. Y., Kim. E., Lee. H. & Cho. W. (2016). An analysis on the understanding of middle school students about the concept of function based on integrated understanding. Communications of Mathematical Education 30(2). 199-233.)
  13. 이인호, 이광상, 임해미, 박수민 (2016). 2015년 국가수준 학업성취도 평가의 서답형 문항 심층 분석-수학-. 한국교육과정평가원 연구보고 RRE 2016-9-3. (Lee, I., Lee, K., Rim, H., & Park, S. (2016). Analysis on constructed response items in the 2015 National Assessment of Educational Achievement (NAEA). Seoul: Korea Institute for Curriculum and Evaluation. Research Report RRE 2016-9-3.)
  14. 이현정 (2005). 멀티미디어 학습 환경에서 학습자 특성별 인지부하 효과. 교육공학연구 21(2), 79-102. (Lee, H. (2005). The effect of cognitive load on learning with multimedia. Journal of Educational Technology 21(2), 79-102.)
  15. 임해미, 김성경, 동효관, 박수민 (2017). 2016년 국가수준 학업성취도 평가 결과 분석-수학-. 한국교육과정평가원 연구자료 ORM 2017-95-3. (Rim, H., Kim, S., Dong, H., & Park, S. (2017). Analysis of the test result of mathematics in the 2016 National Assessment of Educational Achievement (NAEA). Seoul: Korea Institute for Curriculum and Evaluation. Research Report ORM 2017-95-3.)
  16. 정재원, 김동식, 나청수 (2013). 애니메이션 기반의 이러 닝에서 정보제시 유형이 인지부하와 학습내용 이해에 미치는 영향. 교육정보미디어연구 19(4), 635-657. (Jung, J., Kim, D., & Nah, C. (2013). The effect of the types of information presentation on cognitive load and the comprehension of contents in the e-learning environment, The Journal of Educational information and Media 19(4), 635-657.)
  17. 정효정, 김혜원 (2012). 컴퓨터 기반 협력학습에서의 협력부하 측정을 위한 구인의 탐색 및 타당화 연구. 교육공학연구 28(3), 619-640. (Jung, H. & Kim, H. (2012). An exploratory validation for the constructs of collaboration load. Journal of Educational Technology 28(3), 619-640.)
  18. 홍진곤, 조승래 (2003). 협력학습을 통한 수학 학습부진아 지도. 수학교육 42(3), 327-335. (Hong. J. & Jo. S. (2003). An instruction of the underachieved students based on cooperative learning, The Mathematical Education 42(3), 327-335.)
  19. 황혜정, 나귀수, 최승현, 박경미, 임재훈, 서동엽 (2009). 수학교육학신론. 서울: 문음사. Hwang, H., Na, G., Choe, S., Park, K., Yim, J., & Seo, D. (2009). Introduction of Mathematics Education. Seoul: Moonumsa..
  20. 황혜정, 허난 (2016). 수학 문제중심학습(PBL)에서 융합적 사고력 신장 도모에 관한 의의 - 역사 소재를 중심으로 -, 수학교육논문집 20(2), 161-178. (Hwang, H. & Huh, N. (2016). The study on the integrated thinking ability in problem based learning program using historical materials in mathematics, Communications of Mathematical Education 30(2), 161-178.)
  21. Ayres, P. (2006). Using subjective measures to detect variations of intrinsic cognitive load within problems. Learning and Instruction 16(5), 389-400. https://doi.org/10.1016/j.learninstruc.2006.09.001
  22. Kalyuga, S., Chandler, P., & Sweller, J. (2001). Leaner experience and efficiency of instructional guidance. Educational Psychology 21(1), 5-23. https://doi.org/10.1080/01443410124681
  23. Kirschner, F., Paas, F., & Kirschner, P. A. (2009a). A cognitive load approach to collaborative learning: United brains for complex tasks. Educational Psychology review 21(1), 31-42. https://doi.org/10.1007/s10648-008-9095-2
  24. Kirschner, F., Paas, F., & Kirschner, P. A. (2009b). Individual and group-based learning from complex cognitive tasks; Effects on retention and transfer efficiency, Computers in Human Behavior 25(2), 306-314. https://doi.org/10.1016/j.chb.2008.12.008
  25. Kirschner, F., Paas, F., & Kirschner, P. A. (2011). Task complexity as a driver for collaborative learning efficiency: The collective working-memory effect, Applied Cognitive Psychology 25(4), 615-624. https://doi.org/10.1002/acp.1730
  26. Marcus, N., Cooper, M., & Sweller, J. (1996). Understanding instructions. Journal of Educational Psychology 88(1), 49-63. https://doi.org/10.1037/0022-0663.88.1.49
  27. Paas, F. (1992). Training strategies for attaining transfer of problem-solving skill in statistics: A cognitive-load approach. Journal of Educational Psychology 84(4), 429-434. https://doi.org/10.1037/0022-0663.84.4.429
  28. Paas, F., Tuovinen, J. E., Tabbers, H., & VanGerven, P. W. M. (2003). Cognitive load measurement as a means to advance cognitive load theory. Educational Psychologist 38(1), 63-71. https://doi.org/10.1207/S15326985EP3801_8
  29. Ryu, J. & Kim, M. (2010). Validating cognitive load factors: sensitivity on latent mean differences between easy and difficult tasks. Presented at the 4th International Conference of Cognitive Load Theory. Hong Kong.
  30. Sweller, J., Ayres, P., & Kalyuga, S. (2013). Sweller의 인지부하이론 (이현정, 장상필, 심현애, 권숙진, 권선아 역), 경기도: 아카데미프레스. (원작은 2011년 출판).
  31. Sweller, J. & Cooper, G. A. (1985). The use of worked examples as a substitute for problem solving in learning algebra, Cognitive and Instruction 2(1), 59-89. https://doi.org/10.1207/s1532690xci0201_3
  32. Sweller, J., van Merrienboer, J. J. G., & Paas, F. (1998). Cognitive architecture and instructional design. Educational Psychology Review 10(3), 251-296. https://doi.org/10.1023/A:1022193728205
  33. Tarmizi, R. A. & Sweller, J. (1988). Guidance during mathematical problem solving. Journal of Educational Psychology 80(4), 424-436. https://doi.org/10.1037/0022-0663.80.4.424
  34. Zhang, L., Ayres, P., & Chan, K. (2011). Examining different types of collaborative learning in a complex computer-based environment: A cognitive load approach, Computers in Human Behavior 27(1), 94-98. https://doi.org/10.1016/j.chb.2010.03.038