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http://dx.doi.org/10.7468/mathedu.2015.54.3.207

Analysis of Mathematics Preservice Teachers' Mathematical Content Knowledge based on PISA 2012 Items  

Rim, Haemee (Korea Institute for Curriculum and Evaluation)
Lee, Min Hee (Chungnam University)
Publication Information
The Mathematical Education / v.54, no.3, 2015 , pp. 207-222 More about this Journal
Abstract
Mathematics preservice teachers' Mathematical Content Knowledge ("MCK") includes not only knowledge for mathematics, but also academic knowledge for school mathematics and mathematical process knowledge. We can consider the items in PISA 2012 as suitable tools to assess process knowledge as well as mathematical content knowledge because these items are developed by competent international educational experts. Therefore, the responses to items with the low percentage of correct answers in conjunction with the mathematical contents were analyzed with focus on FMC. The results showed the reasoning competency in responses using the conditions of the problem and of understanding the conditions after reading the complex problems within the context (i.e. the reasoning and argumentation competency, and communication competency) requires improvements. Furthermore the results indicated the errors due to a lack of ability of devising strategies for problem solving. Based on the foregoing results, the implications towards the directions of the education for the preservice mathematics teachers have been derived.
Keywords
Mathematical Content Knowledge; MCK; PISA; mathematical process; Fundamental Mathematical Capabilities; FMC;
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1 OECD (2000). Measuring student knowledge and skills. The PISA 2000 assessment of reading, mathematical and scientific literacy. Education and skills. Paris: OECD.
2 OECD (2003). PISA 2003 Assessment Framework: Mathematics, Reading, Science and Problem Solving Knowledge and Skills. Paris: OECD.
3 OECD (2005). The definition and selection of key competencies: executive Summary. Retrieved from http://www.oecd.org/pisa/35070367.pdf
4 OECD (2013). PISA 2012 Assessment and Analytic Framework. Paris: OECD.
5 Saenz, C. (2009). The role of contextual, conceptual and procedural knowledge in activating mathematical competencies (PISA). Educational Studies in Mathematics, 71(2), 123-143.   DOI
6 Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15.
7 Stacey, K. (2015). Core Competency in Mathematics Education : How PISA includes mathematical competencies and the processes of mathematical modelling. Proceedings of the 2015 Joint Conference of Korean Mathematics Education Societies, 35-49.
8 교육과학기술부(2011). 수학과 교육과정. 교육과학기술부 고시 제 2011-361호 [별책 8]. Ministry of Education and Science Technology (2011). Mathematics curriculum. MEST announcement 2011-361 [Separate Volume 8]. Seoul: MEST.
9 박경미(2009). 수학의 교수학적 내용 지식(PCK)에 대한 연구의 메타적 검토. 수학교육 28(1), 92-105. Park, K. M. (2009). A Meta Review of the Researches on PCK in Mathematics. The Mathematical Education 28(1), 92-105.
10 송미영, 임해미, 최혁준, 박혜영, 손수경(2013a). OECD 국제 학업성취도 평가 연구: PISA 2012 결과보고서. 한국교육과정평가원 연구보고 RRE 2013-6-1. Song, M. Y., Rim, H. M., Choi, H. J., Park. H. Y., & Son, S.K. (2013a). OECD Programme for International Students Assessment : Analyzing PISA 2012 Results. Korea Institute for Curriculum and Evaluation Research Report RRE 2013-6-1.
11 조완영(2011). 중등 수학교사의 수학내용 지식. 학교수학 13(2), 345-362. Cho, W. Y. (2011). Mathematical content knowledge of secondary mathematics teachers. School Mathematics 13(2), 345-362.
12 송미영, 임해미, 박혜영, 최혁준, 손수경(2013b). OECD 국제 학업성취도 평가 문항 자료집: PISA 2000-PISA2012 지필평가. 한국교육과정평가원 연구보고 RRE 2013-64-1. Song, M. Y., Rim, H. M., Park. H. Y., Choi, H. J., & Son, S .K. (2013b). OECD Programme for International Students Assessment Open Items: PISA2000-PISA2012 Paper-Based Assessment. Korea Institute for Curriculum and Evaluation Research Report RRE 2013-64-1.
13 이혜숙, 임해미, 문종은 (2010). 수학과학통합교육의 설계 및 실행에 대한 연구, 수학교육 49(2), 175-198. Lee, H. S., Rim, H. M. & Moon, J. E. (2010). A study on the design and implementation of mathematics and science integrated instruction, The Mathematical Education 49(2), 175-198.
14 임해미(2013). OECD PISA 2015 수학 및 협력적 문제 해결력 평가의 특징. 한국수학교육학회 학술발표논문집, 제 2호, 369-171. Rim, H. M. (2013). The Characteristic of OECD PISA mathematics and collaborative problem solving assessment. The proceeding of the Korea Society of Mathematical Education, No. 2, 369-171.
15 조지민, 김수진, 이상하, 김미영, 옥현진, 임해미, 박연복, 이민희, 한희진, 손수경 (2011). 2011년 국제 학업성취 도 평가 연구(PISA/TIMSS) : PISA 2012 예비검사 시행보고서. 한국교육과정평가원 연구보고 RRE 2011-4-2. Cho, J. M., Kim, S. J., Lee, S. H., Kim, M.Y., Ok, H.J., Rim, H. M., Park, Y. B., Lee, M. H., Han, H. J., Son, S. K. (2011). Programme for International Students Assessment : PISA 2012 Field Trial Technical Report. Korea Institute for Curriculum and Evaluation. Research Report RRE 2011-4-2.
16 조지민, 동효관, 옥현진, 임해미, 정혜경, 손수경, 배제성 (2012). OECD 국제 학업성취도 평가 연구 : PISA 2012 본검사 시행 보고서. 한국교육과정평가원 연구 보고 RRE 2012-3-1. Cho, J. M., Dong, H. G., Ock, H. J., Rim, H. M., Jung, H. G., Son, S. K., & Bae, J. S. (2013). OECD Programme for International Students Assessment : PISA 2012 Main Survey Technical Report. Korea Institute for Curriculum and Evaluation. Research Report RRE 2012-3-1.
17 한국과학창의재단(2015). 2015 개정 수학과 교육과정 시안 개발 정책 연구 공개토론회. 2015 수학교육관련학회 연합학술대회. The Korea Foundation for the Advancement of Science and Creativity (2015). 2015 revised mathematics curriculum development policy research forum. 2015 United Conference on Mathematics Education Society.
18 Francisco, J. M., & Maher, C. A. (2005). Conditions for promoting reasoning in problem solving: Insights from a longitudinal study. The Journal of Mathematical Behavior, 24(3), 361-372.   DOI
19 Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching what makes it special?. Journal of teacher education, 59(5), 389-407.   DOI
20 Darling-Hammond, L. (2000). Teacher quality and student achievement. Education policy analysis archives, 8(1), 1-44.   DOI
21 Hsieh, F. J., Law, C. K., Shy, H. Y., Wang, T. Y., Hsieh, C. J., & Tang, S. J. (2011). Mathematics teacher education quality in TEDS-M: globalizing the views of future teachers and teacher educators. Journal of Teacher Education, 62(2), 172-187.   DOI
22 Hiebert, J., Gallimore, R., Garnier, H., Bogard Givven, K., Hollingsworth, H., Jacobs, J., Chui, A. M. Y., Wearne, D., Smith, M., Kersting, N., Manaster, A., Tseng, E., Etterbeek, W., Manaster, C., Gonzales, P., & Stigler, J. (2003). Highlights from TIMSS 1999 Video Study of eighth-grade mathematics teaching. National Center of Education Statistics(NCES 2003011). Retrieved from http://nces.ed.gov/pubsearch/pubsinfo.asp?pubid=2003011.
23 McKenzie, P., Santiago, P., Sliwka, P., & Hiroyuki, H. (2005). Teachers matter: Attracting, developing and retaining effective teachers. OECD.
24 Mewborn, D. (2001). Teachers content knowledge, teacher education, and their effects on the preparation of elementary teachers in the United States. Mathematics Teacher Education and Development, 3, 28-36.
25 Niss, M. (2015). Mathematical Competencies and PISA. In Assessing Mathematical Literacy (pp. 35-55). Springer International Publishing.
26 OECD (1999). Measuring student knowledge and skills: A new framework for assessment. Paris: OECD.