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http://dx.doi.org/10.7468/jksmee.2016.30.3.353

A study on the Elements of Communication in the Tasks of Function of Mathematics in Context Textbook  

Hwang, Hye Jeang (Chosun University)
Choe, Seon A (The Graduate School, Chosun University)
Publication Information
Communications of Mathematical Education / v.30, no.3, 2016 , pp. 353-374 More about this Journal
Abstract
Communication is one of 6 core competencies suggested newly in mathematics curriculum revised in 2015 in Korea. Also, it's importance has been emphasized through NCTM and CCSSI. By the subject of Mathematics in Context(MiC) textbook, this study planned to explore the communication elements according to the types of communication such as discourse, representation, operation. Namely, this study dealt with 316 questions in a total of 34 tasks relevant to function content in the MiC textbook, and this study explored the communication elements on the questions of each task. To accomplish this, this study first of all was to reconstruct and establish an analytic framework, on the basis of 'D.R.O.C type' of communication developed by Kim & Pang in 2010. In addition, based on the achievement standards of function domain in mathematics curriculum revised in 2015 in Korea, this study basically compared with the function content included in MiC textbook and Korean mathematics curriculum document. Also, it tried to explore the distribution of communication elements according to the types of communication.
Keywords
Mathematical communication; Mathematics in Contex; mathematical tasks; functions; mathematics curriculum revised in 2015;
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1 교육부 (2015). 수학과 교육과정 (교육부 고시 제 2015-74호 별책8). 세종: 교육부.(Ministry of Education(2015). Curriculum of Mathematics Department. Sejong: Ministry of Education.)
2 김상화.방정숙 (2010). 초등학교에서의 수학적 의사소통 목표와 성취요소 설정. 한국수학교육학회지 시리즈 E <수학교육 논문집>, 24(2), 385-413.(Kim, S. H. & Pang, J. S. (2010). Standards for Promoting Mathematical Communication in Elementary Classrooms. Communications of Mathematical Education, 24(2), 385-413.)
3 김상화(2010). 초등학교 수업에서 수학적 의사소통의 목표 설정 및 지도의 실제. 한국교원대학교 대학원 박사학위논문.(Kim, S. H.(2010). Standards and Practices for Promoting Mathematical Communication in Elementary Classrooms. Doctoral Dissertation, Korea National University of Education.)
4 김연식.허혜자 (1995). 수학불안 요인에 관한 연구. 수학교육학연구, 5(2), 111-128.(Kim, Y. S. & Heo, H. J. (1995). A Study on antecedents of mathematics anxiety in high school students. Journal of Educational Research in Mathematics, 5(2), 111-128.)
5 김향숙.이성애 (2010). 수학적 의사소통에 대한 고찰과 '고등학교 수학'의 의사소통 코너 분석. 한국수학사학회지, 23(3), 141-168.(Kim, H. S. & Lee. S. A. (2010). Note on mathematical communication and the Analysis of communication-corner in 'high school Mathematics' textbook. The Korean Journal for History of Mathematics, 23(3), 141-168.)
6 우정호 (2011). 학교수학의 교육적 기초. 서울: 서울대학교출판문화원.(Woo, J. H (2011). Educational Foundation in School Mathematics. Seoul: Seoul National University Press.)
7 윤양안 (2013). 2009 개정 수학과 교육과정에 따른 학습 연구 : 중학교 함수와그래프 단원을 중심으로. 중앙대학교 대학원 석사학위논문.(Yun Yang-An (2013). On the effective teaching methods for the 2009-revised mathematical curricula focused on Functions and Graphs of the Middle School. Master's Dissertation, Chung-Ang University.)
8 이종희.김선희 (1998). 수학 교수 학습에서의 의사소통에 관한 연구. 수학교육학연구, 8(2), 691-708.(Lee, C. H. & Kim, S. H. (1998). A study of communication in teaching and learning of mathematics. Journal of Educational Research in Mathematics, 8(2), 691-708.)
9 이다희 (2014). 중학교 1 학년 수학교과서에 나타난 수학적 의사소통 관련 부분에 대한 분석. 교과교육연구, 7(1), 63-82.(Lee, Da-Hee (2014). An Analysis of 7th grade mathematics textbooks on the relevant parts of mathematical communication. The Journal of Curriculum and Instruction Studies, 7(1), 63-82.)
10 이미연.오영열 (2007). 수학적 과제가 수학적 의사소통에 미치는 영향. 수학교육학연구, 17(4), 395-418.(Lee, M. Y. & Oh, Y. Y. (2007). The Influence of Mathematical Tasks on Mathematical Communication. Journal of Educational Research in Mathematics, 17(4), 395-418.)
11 이종희.김선희 (2002). 수학적 의사소통. 서울: 교우사.(Lee, C. H. & Kim, S. H. (2002). Mathematical Communication. Seoul: Kyowoo.)
12 정윤우 (2016). 수학일지쓰기를 통한 초등학교 6학년 수학 학습부진아의 정의적 특성 변화. 경인교육대학교 대학원 석사학위논문.(Jung, Y. W. (2016). The Changes in Affective Characteristic of 6th Grade Student with Underachievement in Mathematics after Writing Mathematics Journal. Master's Dissertation, Gyeongin National University of Education.)
13 홍창준.김구연 (2012). 중학교 함수 단원의 수학과제 분석. 학교수학, 14(2), 213-232.(Hong, C. J. & Kim, G. Y. (2012). Functions in the Middle School Mathematics: The Cognitive Demand of the Mathematical Tasks. School Mathematics, 14(2), 213-232.)
14 Kaya, D. & Aydin, H. (2016). Elementary Mathematics Teachers' Perceptions and Lived Experiences on Mathematical Communication. Eurasia Journal of Mathematics, Science and Technology Education, 12(6), 1619-1629.
15 Abels, M., de Jong, J. A., Dekker, T., Meyer, M. R., Shew, J. A., Burrrill, G., & Simon, A.N. (2006). Up and Downs. In Wisconsin Center for Education Research & Freudenthal Institute(Eds.), Mathematics in Context. Chicago: Encyclopadia Britannica, Inc.
16 Brown, G. T. L. & Harris, L. R. (2012, October, in press). Student self-assessment. In J. H. McMillan (Ed.). The SAGE handbook of research on classroom assessment. Thousand Oaks, CA: Sage.
17 Common Core state Standards Initiative (2010). Common Core State Standards for Mathematics. Retrieved from http://www.corestandards.org/Math
18 Griffiths, R. & Clyne, M. (1994). Language in the mathematics classroom: Talking, representing, recording. Heinemann Educational Publishers.
19 Hardy, I. (2001). The Relationship between the Use of Representations and Instructional Discourse in Mathematics Tasks. Paper presented at the Annual Meeting of American Educational Research Association (AERA) 2001, Seattle, Washington, 1-30.
20 Kindt, M., Dekker, T., & Burrrill, G. (2006). Algebra rules. In Wisconsin Center for Education Research & Freudenthal Institute (Eds.), Mathematics in Context. Chicago: Encyclopadia Britannica, Inc.
21 Kindt, M., Wijers, M., Spence, M.S., Brinker, L. J., Pligge, M. A., Burrill, J., & Burrill, G. (2006). Graphing Equations. In Wisconsin Center for Education Research & Freudenthal Institute(Eds.), Mathematics in Context. Chicago: Encyclopadia Britannica, Inc.
22 Smith, M. S. & Stein, M. K. (2011). 5 Practices for Orchestrating Productive Mathematics Discussions. 방정숙 역(2013). 효과적인 수학적 논의를 위해 교사가 알아야 할 5가지 관행. 서울: 경문사.
23 Kosko, K. W., & Wilkins, J. L. (2010). Mathematical communication and its relation to the frequency of manipulative use. International Electronic Journal of Mathematics Education, 5(2), 79-90.
24 National Council of Teachers of Mathematics. (1989). The Curriculum and Evaluation Standards for School Mathematics. Reston, VA: Author.
25 National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: Author.
26 Thompson, D. R., & Chappell, M. F. (2007). Communication and representation as elements in mathematical literacy. Reading & Writing Quarterly, 23(2), 179-196.   DOI
27 Tinungki, G. M. (2015). The Role of Cooperative Learning Type Team Assisted Individualization to Improve the Students' Mathematics Communication Ability in the Subject of Probability Theory. Journal of Education and Practice, 6(32), 27-31.