Browse > Article
http://dx.doi.org/10.7468/jksmee.2016.30.2.161

The study on the Integrated Thinking Ability in Problem Based Learning Program Using Historical Materials in Mathematics  

Hwang, Hye Jeang (Chosun University)
Huh, Nan (Kyonggi University)
Publication Information
Communications of Mathematical Education / v.30, no.2, 2016 , pp. 161-178 More about this Journal
Abstract
Mathematics problem based learning(PBL), which has recently attracted much attention, is a teaching and learning method to increase mathematical ability and help learning mathematical concepts and principles through problem solving using students' mathematical prerequisite knowledge. In spite of such a quite attention, it is not easy to apply and practice PBL actually in school mathematics. Furthermore, the recent instructional situations or environments has focused on student's self construction of their learning and its process. Because of this reason, to whom is related to mathematics education including math teachers, investigation and recognition on the degree of students' acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) is an very important work. Thus, developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recently, connection or integration of one subject and the other subject in school is emphasized, and then mathematics might be one of the most important subjects to have a significant role to connect or integrate with other subjects. While considering the reason is that the ultimate goal of mathematics education is to pursue an enhancement of mathematical thinking ability through the enhancement of problem solving ability, this study aimed to implement basically what is the meaning of the integrated thinking ability in problem based learning theory in Mathematics. In addition, using historical materials, this study was to develop mathematical materials and a sample of a concrete instructional guideline for enhancing integrated thinking ability in problem based learning program.
Keywords
Integrated Thinking Ability; Problem Based Learning; Mathematical thinking; Historical thinking;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 강미애.송상헌 (2011). 초등학교 4학년 소수단원에서의 수학과 PBL 모형 적용 수업 분석. 학교수학, 13(1), 189-206. (Kang, M. A., Song, S. H. (2011). Application of Mathematics PBL Model Courses in the Chapter of a Decimal for the 4th Grade of Elementary School Students. School Mathematics, 13(1), 189-206.)
2 고호경.김응환.양순열.권세화.권순학.정낙영.장인선.임유원.최수영.이성재.노솔.백형윤.홍창섭(2013). 중학교 수학 1. 서울: (주)교학사. (Ko, H.K., Kim, E. H., Yang, S. Y., Kwon, S. H., Kwon, S. H., Jung, N. Y., Jang, I. S., Lim, Y. W., Choi, S. Y., Lee, S. J., Noh, S., Bak, H. Y., & Hong, C. S. (2013). Middle School Mathematics 1. Seoul: Kyohaksa.)
3 교육과학기술부 (2009). 교육과학기술부 고시 제2009-41호에 따른 고등학교 교육과정해설 사회(역사). 서울: 교육과학기술부 (The Ministry of Education, Science, and Technology (2009). 2009 Reformed National Curriculum Guide of Social Studies(history). Seoul: MEST.)
4 교육과학기술부 (2011). 수학과 교육과정 (교육과학기술부 고시 제 2011-361호 별책 8). 서울: 교육과학기술부 (The Ministry of Education, Science, and Technology(2011). Mathematics Curriculum. Seoul: MEST.)
5 교육부(2015). 수학과 교육과정 (교육부 고시 제2015-74호 별책 8). 세종: 교육부 (The Ministry of Education (2015). Mathematics curriculum. Se Jong: The Ministry of Education.)
6 김부윤.정두영.정원경 (2005). 문제중심학습(PBL)을 통한 수학적 태도 변화에 대한 연구. 한국수학교육학회지 시리즈 E <수학교육 논문집>, 19(1), 253-269. (Kim, B. Y., Jung, D. Y., Jung, Y. K. (2005). A study on the change of students' attitudes mathematics via Problem - Centered Learningl. Communications of mathematical education, 19(1), 253-269.)
7 김선자 (1998). 구성주의에 의한 초등학교 사회과 수업설계 및 적용: 문제중심학습(PBL) 방법에 의한 사례 연구. 경희대학교 교육대학원 석사학위논문. (Kim, S. J. (1998). An In structional Design and Implementation by PBL : A Case Study of Social Studies in an Elementary School Classroom. Master's thesis , Graduate School of Education, Kyunghee University.)
8 김한종 (2005). 역사교육과 역사인식. 서울: 책과 함께. (Kim, H. J. (2005). History Education and HIstorical Awareness. Seoul: Cum libro Publishing Co.)
9 김홍원.김명숙.송상헌 (1996). 수학 영재 판별도구 개발 연구(I)-기초연구편. 한국교육개발원 CR 96-26. (Kim, H. W., Kim, M. S., & Song, S. H. (1996). A Study on developing instrument of judgement for the selection of students in mathematics class for the talented students(I)-Basic Research. KEDI, CR 96-26.)
10 박흥준 (2004). 기술교과 건설기술단원의 문제중심학습이 학업성취와 정의적 특성에 미치는 효과. 서울대학교 대학원 박사학위논문. (Park. H. J. (2004). The effect of problem-based learning on academic achievment and affective characteristics in construction unit of technology education. Doctorial Dissertation, Seoul National University.)
11 신인선.권점례 (2002). 문제중심학습을 통한 초등학교 학생들의 수학적 태도 변화에 대한 연구. 한국수학교육학회지 시리즈 A <수학교육>, 41(2), 189-202. (Shin, I. S., Kwon, J. R. (2002). A study on the change of students' attitudes to mathematics via Problem - Centered Learning in the elementary school. The Mathematical Education, 41(2), 189-202.)
12 신준식.고정화.박문환.박성선.서동엽 (2011). 수학적 사고력 측정을 위한 수학 평가 도구의 개발. 한국초등수학교육학회지, 15(3), 619-540. (Shin, J. S., Ko, J. H., Park, M. H., Park, S. S. & Seo, D. Y. (2011). Development of the Items for the Assessment of Mathematical Thinking. Journal of Elementry Mathematics Education in Korea, 15(3), 619-540.)
13 안효정 (2013). 융합적 사고력 육성을 위한 STEAM 기반 디자인 수업 방안 연구. 경인교육대학교 대학원 석사학위논문. (Ahn, H. J. (2013). Study on STEAM-based design curriculum for cultivation of convergent thinking. Master's thesis , Graduate School of Education, Gyeongin National University of Education.)
14 양호환.이영효.김한종.정선영.송상헌 (2009). 역사교육의 이론. 서울: 책과 함께. (Yang, H. H., Lee. Y. H., Kim, H. J., Jung, S. Y., & Song, S. H. (2009). The Theory of Histoty Education. Seoul: Cum libro Publishing Co.)
15 오만록 (1999). 구성주의에 근거한 문제중심학습(PBL)이 학업성취와 정의적 특성에 미치는 효과. 고려대학교 대학원 박사학위논문. (Oh, M. L. (1999). The Effect Analysis of Problem-Based Learning(PBL) on the Academic Achievement and Affective Characteristics. Doctorial Dissertation, Korea University.)
16 전평국.이진아 (2002). 수학적 문제중심학습에서의 사회적 상호작용 분석. 한국수학교육학회지 시리즈 E <수학교육 논문집>, 13. 409-424. (Jeon, P. K., Lee, J. A. (2002). An Analysis of Sicial Interaction on Mathematial Problem Base-Learning. Communications of mathematical education, 13. 409-424.)
17 이광연.설한국 (2013), 조선의 산학서로 보는 이순신 장군의 학익진. 동방학, 28, 8-41. (Lee, G. Y., Seol, H. G. (2013). A Study on the Modality of Guandi Temple in China -Focusing on the HaiZhou Guandi Temple-. The International Journal of Costume Culture, 28, 8-41.)
18 이환철 (2010). 수학적 사고의 발달 메커니즘과 학교 수학. 성균관대학교 대학원 박사학위논문. (Lee, H. C. (2010). (A) study on the developmental mechanism of mathematical thinking in school mathematics. Doctorial Dissertation, SungKyunKwan University.)
19 임유정 (2012). 수학 교과와 타 교과간의 융합 수업 모형 개발 및 적용 과정에 대한 연구. 영남대학교 교육대학원 석사학위논문. (Lim, Y. J. (2012). Study on the development of convergence lesson about mathematics with other subject and application process. Master's thesis , Graduate School of Education of YongNam University.)
20 조연순.성진숙.채제숙.구성혜 (2000). 창의적 문제해결력 신장을 위한 초등 과학 교육과정 개발 및 적용. 한국과학교육학회지, 20(2), 307-328. (Cho, Y., Seong, J. S., Chae, J. S. & Koo, S. H. (2000) Development and Application of Elementary Science Curriculum to Enhance Creative Problem Solving Abilities. Journal of the Korean Association for Research in Science Education. 20(2), 307-328.)
21 진선양 (2009). 문제중심학습(Problem-Based Learning)에 대한 중학교 수학교사들의 인식 고찰. 성균관대학교 교육대학원 석사학위논문. (Jin S. Y. (2009). On Mathematics Teachers' Recognition for Problem-based Learning. Master's thesis , Graduate School of Education of SungKyunKwan University.)
22 최정숙 (2008). 구성주의에 기초한 고등학교 수학교육에서의 문제중심학습에 대한 연구. 경상대학교 대학원 박사학위논문. (Choi J. S. (2008). A Study on Problem Based Learning in High School Mathematics Education based on the Constructivism. Doctorial Dissertation, KyeongSang National University.)
23 허난 (2009). 수학과 문제중심학습(PBL)을 위한 문제분석기준 개발과 학습모형 연구. 성균관대학교 대학원 박사학위논문. (Huh, N. (2009). A Study to Develop Criteria to Judge Mathematical Problems and a Learning Model in Mathematics Problem-Based Learning. Doctorial Dissertation, SungKyunKwan University.)
24 Nowak, J. A. (2001). The Implication and Outcomes of using Problem-Based Learning to Teach Middle School Science. Doctorial Dissertation Abstracts, Indiana University.
25 허난.하영화 (2011). 문제중심학습(PBL)의 실행에 관한 수학교사의 인식 조사: 카드 활용 면담을 이용한 분류체계 및 성분 분석을 중심으로. 한국학교수학회논문집, 14(2), 143-161. (Huh N., Ha Y. H. (2011). On Mathematics Teachers' Recognition about Problem-Based Learning(PBL) Implementation :Taxonomic Analysis & Componential Analysis by using cards. The Korean School Mathematics Society, 14(2), 143-161.)
26 Diggs, L. L. (1997). Student Attitude Toward and Achievement in Science in a Problem-Based Learning Educational Experience. University of Missouri Doctorial Dissertation Abstract(AAg9842589).
27 Elshafei, D. L. (1998). A Comparison of Problem-Based and Traditional Learning in Algebra II. Doctorial Dissertation, Indiana University.
28 Patel, V. L., Groen, G. J., & Norman, G. R. (1993). Reasoning and Instruction in Medical Curricula. Cognition & Instruction, 10, 335-378.   DOI
29 Savoie, J. M. (1995). Problem-Based Learning in social studies: Results of Field Trial with Adolescents. Doctorial Dissertation, The University of New Brunswick.
30 Shepherd, N. G. (1998). The Probe Method : A Problem-Based Learning Model's Affect on Critical Thinking Skills of Fourth and Fifth Grade Social Studies Students. Dissertation Abstracts International Section A: Humanities and Social Sciences, 59(3-A) : 0779.
31 Torp, L. & Sage, S. (2001). Problem as Possibilities : Problem-Based Learning K-16 Education (2nd Ed.). Alexandria, VA: Association for Supervision and Curriculum Development.
32 Watts, D. G. (1972). The Learning of History. London; Routledge & Kegan Paul.