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A study on the conceptual connection based on mathematical problem

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While solving given mathematical problems, a learner uses theminimum mathematical concept in order to solve this problem. Amongthese learners, while there are learners is strong connectivity betweenlower mathematical concepts related to a given problem, it was shownthat there are learners with very weak connectivity between lowermathematical concepts. Therefore, the problems to learn the lowermathematical concepts would have to be organized in the process ofsolving upper mathematical problems while organizing themathematical problems. Then the "simple cycle" to generate “Sf3,4,5(conceptual connection based on mathematical problem)” would haveto be considered. Also, the instruction would have to be performed byevaluating in detail on the level of connection between lowermathematical concepts related to a given problem.

Abstract

While solving given mathematical problems, a learner uses theminimum mathematical concept in order to solve this problem. Amongthese learners, while there are learners is strong connectivity betweenlower mathematical concepts related to a given problem, it was shownthat there are learners with very weak connectivity between lowermathematical concepts. Therefore, the problems to learn the lowermathematical concepts would have to be organized in the process ofsolving upper mathematical problems while organizing themathematical problems. Then the "simple cycle" to generate “Sf3,4,5(conceptual connection based on mathematical problem)” would haveto be considered. Also, the instruction would have to be performed byevaluating in detail on the level of connection between lowermathematical concepts related to a given problem.

참고문헌 (8)

  1. Carroll, J. B., "Discussant comments, In Hierarchies in children's learning: A symposium", Instructional Science, 2, pp.311~362 (1973)
  2. Gagne′. R. M., "The Conditions of Learning" (1970), Holt Rinehart and Winstern
  3. Gagne′. R. M., "Task analysis: It's relations to content analysis", Presentation to Symposium"Content Analysis for Instructional Design,"Annual Meeting, pp.1~17 (1974), AERA
  4. Lauren B. Resnick, "The Psychology of Mathematics for Instruction" (1981)
  5. 서종진, "문제 유형에 따른 풀이과정에서의 변화 -중학교 1학년 학생들의 일차방정식에 대한 반응을 중심으로-", 수학교육 논문집, 24(2), pp.445~474 (2010), 한국수학교육학회
  6. Seo, J. J., "Research on Convergence based on mathematical problem Solving in Mathematics Teaching and Learning", Proceedings of Jangjeon Mathematical Society, 12(3), pp.361~380 (2010)
  7. 서종진, "The Study on "Reaction Classification Tables" and Database to aid the Learning of Mathematics -Using Reaction analysis on arithmetic questions and linear equations-", Advanced Studies in Contemporary Mathematics, 20(2), pp.213~245 (2010), 장전수학회
  8. Seo, J. J., "A study on convergence and connection for the analysis of Mathematical learning conditions: focused on mathematics problem solving results of the students", Proceedings of Jangjeon Mathematical Society, 14(1), pp.47~90 (2011)

관련 논문AI추천

A Study on the Connection between Mathematical Concepts Followed by the Mathematics Problem Solving Results of Students김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제3호A Study on Convergence and Connection for the Analysis of Mathematical Learning Conditions-Focused on Mathematics Problem Solving Results of the StudentsJ. J. Seo, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제1호An investigation on the connection between learned mathematical conceptsJ. J. Seo, S. H. Lee, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호Research on Convergence Based on Problem Solving in Mathematics Teaching and Learning김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호The Study on "Reaction Classification Tables" and Database to aid the Learning of Mathematics -Using Reaction analysis on arithmetic questions and linear equations-김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제2호A comparative study of mathematical thinking in mathematical problem-solving abilities with reference to secondary talented students박홍경장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호

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