수학 영재아의 문제해결 활동에 대한 메타정의적 관점에서의 특성 분석
Analysis of characteristics from meta-affect viewpoint on problem-solving activities of mathematically gifted children
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초록
선행연구에 의하면 수학 학습활동에서 인지적, 정의적 요소들 사이의 상호작용에 기반하는 메타정의는 메타인지와유사한 방식으로 학습자의 수학적 능력과 긴밀한 역학적 관련성을 유지한다. 본 연구에서는 이러한 특성을 현상학적으로 파악하기 위하여 초등학교 5학년 수학 영재아의 소집단 문제해결 사례를 메타정의적 관점에서 분석하였다. 그 결과수학 영재아의 인지적, 정의적 특성이 메타정의적 활동을 통해 문제해결 활동에 나타나고 있음을 알 수 있으며, 특히문제해결자의 정의적 역량은 정서나 태도 형태의 메타정의로 문제해결 활동에 작용함을 알 수 있었다.
Abstract
According to previous studies, meta-affect based on the interaction between cognitive and affective elements in mathematics learning activities maintains a close mechanical relationship with the learner's mathematical ability in a similar way to meta-cognition. In this study, in order to grasp these characteristics phenomenologically, small group problem-solving cases of 5th grade elementary mathematically gifted children were analyzed from a meta-affective perspective. As a result, the two types of problem-solving cases of mathematically gifted children were relatively frequent in the types of meta-affect in which cognitive element related to the cognitive characteristics of mathematically gifted children appeared first. Meta-affects were actively acted as the meta-function of evaluation and attitude types. In the case of successful problem-solving, it was largely biased by the meta-function of evaluation type. In the case of unsuccessful problem-solving, it was largely biased by the meta-function of the monitoring type. It could be seen that the cognitive and affective characteristics of mathematically gifted children appear in problem solving activities through meta-affective activities. In particular, it was found that the affective competence of the problem solver acted on problem-solving activities by meta-affect in the form of emotion or attitude. The meta-affecive characteristics of mathematically gifted children and their working principles will provide implications in terms of emotions and attitudes related to mathematics learning.
참고문헌 (24)
- Clark, B., "Growing up gifted" (1988), Merrill
- DeBellis, V. A, "The affective domain in mathematical problem- solving", Proceedings of the PME 21, 2, pp.209~216 (1997)
- DeBellis, V. A, "Affect and Meta-affect in Mathematical Problem Solving: A Representational Perspective", Educational Studies in Mathematics, 63(2), pp.131~147 (2006)
- Do, J. W., "Aspects of meta-affect in collaborative mathematical problem-solving processes", doctor, pp.2018
- 도주원, "수학 문제해결에서 메타정의의 기능", 한국초등수학교육학회지, 20(4), pp.563~581 (2016), 한국초등수학교육학회
- 도주원, "수학 문제해결 과정에 작용하는 메타정의의 사회역학적 기능", 초등수학교육, 20(1), pp.85~99 (2017), 한국수학교육학회[DOI]
- 도주원, "문제해결 과정에서의 수학 학습 성취 수준에 따른 메타정의의 기능적 특성 비교 분석", 한국초등수학교육학회지, 22(2), pp.143~159 (2018), 한국초등수학교육학회
- 도주원, "수학 영재아의 문제해결 과정에 나타나는 메타정의의 특성", 한국초등수학교육학회지, 23(1), pp.59~74 (2019), 한국초등수학교육학회
- Towards a new paradigm for identifying talent potential, "Fraiser, M. M", University of Commecticut, The National Research Center on the Gifted and Talented, ~ (1994)
- Goldin, G. A., "Beliefs: A hidden variable in mathematics education?", pp.59~72 (2002), Kluwer
- Goldin, G. A., "A research companion to principles and standards for school mathematics", pp.275~286 (2003), NCTM
- Goldin, G. A., "Characteristics of affect as a system of representation", Proceedings of the PME 28, 1, pp.109~114 (2004), Bergen University College
- Goldin, G. A., "Commentary on "The articulation of symbol and mediation in mathematics education" by Moreno-Armella and Sriraman", ZDM : The International Journal on Mathematics Education, 38, pp.70~72 (2006)
- Goldin, G. A., "Foundations for the future in mathematics education", pp.281~296 (2007), Erlbaum
- Goldin, G. A., "Creativity in mathematics and the education of gifted students", pp.181~194 (2009), Sense Publishers
- Goldin, G. A., "Theories of mathematics education?", pp.233~237 (2010), Springer-Verlag
- Goldin, G. A., "International handbook of emotions in education", pp.391~414 (2014), Routledge
- The dynamics of affect, cognition, and social environment in the regulation of personal learning processes: The case of mathematics, "Malmivuori, M. L.", Helsinki University Press, ~, pp.Research Report 172 (2001)
- Malmivuori, M. L., "Affect and self-regulation", Educational Studies in Mathematics, 63, pp.149~164 (2006)
- McLeod, D. B., "Handbook of research on mathematics teaching and learning", pp.575~596 (1992), Macmillan
- Moscucci, M, "Why is there not enough fuss about affect and meta-affect among mathematics teacher?", Proceedings of the CERME-6, pp.1811~1820 (2010), INRP
- Renzulli, J. S, "The schoolwide enrichment model: A how-to guide foe educational excellence" (1997), Creative Learning Press
- Schlöglmann, W., "Meta-affect and strategies in mathematics learning", Proceeding of CERME-4, pp.275~284 (2005), FundEmi IQS
- Yin, R. K., "Case study research: Design and methods" (2014), Sage