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http://dx.doi.org/10.30807/ksms.2020.23.1.005

A Study on the Difficulties of Pre-service Mathematics Teachers in the Discrete Mathematics Learning  

Rim, Haemee (Kongju National University)
Jeon, Youngju (Jeonbuk National University)
Publication Information
Journal of the Korean School Mathematics Society / v.23, no.1, 2020 , pp. 89-109 More about this Journal
Abstract
This study aims to improve teacher education by analyzing the causes and backgrounds of which pre-service mathematics teachers experience learning difficulties on the topic of discrete mathematics. To this end, we conducted a questionnaire and an evaluation on the topic of discrete mathematics, and the obtained data were analyzed. The results show that (1) pre-service mathematics teachers need to share their perceptions of the need for discrete mathematics education; (2) a review of the adequacy of the discrete mathematical content and its credits are required; (3) the causes of their learning difficulties need to be looked at from a different perspective than the learning factors. And two implications were obtained. First, it is necessary to study the systematicity and sequence of content elements of discrete mathematics in the aspect of its continuity of curriculum of secondary school and university. Second, it is required consideration for adjusting the ratio of discrete mathematics to secondary teachers' employment examination.
Keywords
Pre-service Mathematics Teacher; Discrete mathematics; Learning Difficulty;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 교육부 (2014a). 이산수학. 교육인적자원부.
2 교육부 (2014b). 이산수학 교사용 지도서. 교육인적자원부.
3 김창일, 전영주 (2017). 수학과 중등임용 이산수학 기출 문항 분석. 한국콘텐츠학회 논문지, 17(10), 472-482.
4 박교식 (1992). 함수 개념 지도의 교수현상학적 접근. 박사학위논문. 서울대학교 대학원, 서울.
5 윤현진, 박선용, 김서령, 이영하 (2009). 수학과 교육 내용 개선 방안 연구 - '이산수학', '확률과 통계' 영역을 중심으로 -. 한국교육과정평가원, 연구보고 RRC 2009-3-3.
6 이상구, 이재화 (2019). 학생중심의 대학 이산수학 강의 운영사례. 한국수학교육학회지 시리즈 E, 33(1), 1-19.
7 이양락, 김선희, 고정화, 조영미, 구자형 (2005). 2004년 국가수준 학업성취도 평가 연구 -수학-. 한국교육과정평가원, 연구보고 RRE 2005-1-4.
8 이재학 (2003). 중등학교 교사 양성을 위한 이산수학 강좌에 대한 연구. 한국수학교육학회지 시리즈 A, 42(4), 579-588.
9 한국교육과정평가원 (2008). 2009학년도 개편 중등교사임용후보자선정경쟁시험 표시과목 수학의 교사 자격 기준 개발과 평가 영역 상세화 및 수업 능력 평가 연구, 연구보고 CRE 2008-6-2.
10 Bailey, H. F. (1997). The Status of Discrete Mathematics in the High Schools, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol.36, 311-316.
11 Crisler, N., Fisher. P., & Froelich, G. (1997). A Discrete Mathematics Textbook for High Schools, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 36, 323-330.
12 Middleton, J. A., Toncheff, M., & Haag, S. (2011). Growth in Secondary Teachers' Content Knowledge and Practice in Discrete Mathematics, PME-NA 2011 Proceedings, 425-433.
13 Pagliaro, C., & Kritzer, K. L. (2005). Discrete Mathematics in Deaf Education: A Survey of Teachers' Knowledge and Use. American Annals of the Deaf, Vol 50(3), 251-259.
14 NCTM (1989). Curriculum and evaluation Standards for School Mathematics, VA.: The National Council of Teachers of Mathematics, Inc.
15 NCTM (2000). Principles and Standards for School Mathematics, VA.: The National Council of Teachers of Mathematics, Inc.