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전자저널 논문

2019; 29(1): 93-112

Published online February 28, 2019 https://doi.org/10.29275/jerm.2019.2.29.1.93

Copyright © Korea Society of Education Studies in Mathematics.

An Analysis and a Suggestion about Narrative of ’the Relation between Definite Integral and Sum of Series’ in 2015-Revised 〈Calculus>〉 - From the Perspective of Connecting with 〈MathematicsⅡ〉

2015 개정 〈미적분〉 교과서의 ‘정적분과 급수의 합 사이의 관계’ 서술 내용 분석 및 제언

이기돈

Abstract

In the 2015-Revised mathematics curriculum the definite integral concept described as ‘the difference of two values of the function given by an indefinite integral’ and ‘the area between a curve and x-axis’ is dealt in 〈MathematicsⅡ〉 and the definite integral concept depicted as ‘the limit of a Riemann sum’ is presented in 〈Calculus〉 officially following 〈MathematicsⅡ〉 in the learning sequence, which is absolutely different from the previous curricula. In this paper, I analyzed the narrative structure of ‘the relation between definite integral and sum of series’ in 〈Calculus〉 which introduces ‘the limit of a Riemann sum’ as compared with the definite integral concept as ‘the area between a curve and x-axis’ etc. with the perspective of connecting with 〈MathematicsⅡ〉 in mind. In regards to the defects revealed by this analysis, I suggested concrete expressions in the textbook 〈Calculus〉 and curriculum document, respectively to make a more profound connection with 〈MathematicsⅡ〉 through the support of the new concept learning experience from the previous learning experience and to lead to dealing with ‘the relation between definite integral and sum of series’ mainly focused on the definite integral concept depicted as ‘the area between a curve and x-axis’.

Keywords정적분 개념의 서술 방법,2015 개정 수학과 교육과정,미적분,수학Ⅱ,연계성,Narrative Structure about Definite Integral,2015-Revised Mathematics Curriculum,Calculus,MathematicsⅡ,Connectivity

Journal Info

Korea Society of Education Studies in Mathematics

Vol.31 No.3
2019-02-28

pISSN 2288-7733
eISSN 2288-8357

Frequency : Quarterly

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