Browse > Article
http://dx.doi.org/10.7468/jksmec.2018.21.3.351

Research on the Instructional Strategies to Foster Problem Solving Ability as Mathematical Subject Competency in Elementary Classrooms  

Choi, Inyoung (Naepo Elementary School)
Pang, JeongSuk (Korea National University of Education)
Publication Information
Education of Primary School Mathematics / v.21, no.3, 2018 , pp. 351-374 More about this Journal
Abstract
The purpose of this study is to support the understandings of teachers about the instructional strategies of collaborative problem solving and mathematical modeling as presented in the 2015 revised mathematics curriculum. For this, tasks of the Cubes unit from six grader's and lesson plans were developed. The specific problem solving processes of students and the practices of teachers which appeared in the classes were analyzed. In the course of solving a series of problems, students have formed a mathematical model of their own, modifying and complementing models in the process of sharing solutions. In particular, it was more effective when teachers explicitly taught students how to share and discuss problem-solving. Based on these results this study is expected to suggest implications on how to foster students' problem solving ability as mathematical subject competency in elementary classrooms.
Keywords
mathematical subject competency; problem solving ability; collaborative problem solving; mathematical modeling;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Carlson, M. A., Wickstrom, M. H., Burroughs, E. A., & Fulton, E. W. (2016). A case for mathematical modeling in the elementary school classroom. In Hirsch, C. R., & McDuffie, A. R. (Eds.), Annual perspectives in mathematics education 2016: mathematical modeling and modeling mathematics (pp. 121-129). Reston, VA: National Council of Teachers of Mathematics.
2 CCSSI (2010). Common Core State Standards for Mathematics. Retrieved from http://www.corestandards.org/Math/
3 Cirillo, M., Pelesko, J. A., Felton-Koestler, M. D., & Rubel, L. (2016). Perspectives on modeling in school mathematics. In Hirsch, C. R., & McDuffie, A. R. (Eds.), Annual perspectives in mathematics education 2016: mathematical modeling and modeling mathematics (pp. 3-16). Reston, VA: National Council of Teachers of Mathematics.
4 English, L. (2006). Mathematical modeling in the primary school: Children's construction of a consumer guide. Educational Studies in Mathematics, 63(3), 303-323.   DOI
5 English, L., & Sriraman, B. (2010). Problem solving for the 21st century. In B. Sriraman, & L. English (Eds.) Theories of mathematics education (pp. 263-290). Heidelberg, Germany: Springer.
6 English, L., & Watters, J. (2004). Mathematical modeling in the early school years. Mathematics Education Research Journal, 16(3), 59-80.
7 Goos, M., Galbraith, P., & Renshaw, P. (2002). Socially mediated metacognition: Creating collaborative zones of proximal development in small group problem solving. Educational studies in Mathematics, 49(2), 193-223.   DOI
8 Griffin & Care (2014). Developing learners' collaborative problem solving skills. Key Competence Network on School Education.
9 Ministry of Education, Science and Technology (2011). Mathematics curriculum. Ministry of Education, Science and Technology Notice 2011-361 [supplement 8].
10 Ministry of Education (2015a). Mathematics curriculum. Ministry of Education Notice 2015-74 [supplement 8].
11 Ministry of Education (2015b). 2015 revised curriculum. Ministry of Education Notice 2015-80 [supplement 1].
12 OECD (2013a). Draft Collaborative Problem Solving Framework. http://www.oecd.org/pisa/pisaproducts/Draft%20PISA%202015%20Collaborative%20Problem%20Solving%20Framework%20.pdf.
13 Langer-Osuna, J. M. (2015). From getting "fired" to becoming a collaborator: a case of the coconstruction of identity and engagement in a project-based mathematics classroom. Journal of the Learning Sciences, 24, 53-92.   DOI
14 Lesh, R., & Zawojewski, J. (2007). Problem solving and modeling. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 763-804). Reston, VA: NCTM.
15 Mousoulides, N., Christou, C., & Sriraman, B. (2008). A modeling perspective on the teaching and learning of mathematical problem solving. Mathematical Thinking and Learning, 10(3), 293-304.   DOI
16 OECD (2013b). Draft PISA 2015 Mathematics Framework. OECD publishing. http://www.oecd.org/pisa/pisaproducts/pisa2015draftframeworks.htm
17 Panitz, T. (1999). Collaborative versus cooperative learning-a comparison of the two concept which will help us understand the underlying nature of interactive learning. Retrieved from http://files.eric.ed.gov/fulltext/ED448443.pdf.
18 Smith, M. S., & Stein, M. K. (2011). Five practices for orchestrating productive mathematics discussions. Reston, VA: National Council of Teachers of Mathematics. 방정숙 역 (2013). 효과적인 수학적 논의를 위해 교사가 알아야 할 5가지 관행. 서울: 경문사.
19 Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455-488.   DOI
20 Kim, M. K., Min, S. H., & Kang, S. M. (2009). A survey of the elementary teachers' perception and the status about mathematical modeling. Journal of the Korean School Mathematics Society, 12(4), 411-431.
21 Park, K. M., Lee, H. C., Park, S. H., Kang, E., Kim, S. H. & Rim, H. (2015). A Study on the Development of the Draft Proposal for 2015 Revised Mathematics Curriculum II. Korea foundation for the advancement of science & creativity, BD15120005.
22 Park, S. H. (2016). The meaning of mathematical subject competency in 2015 revised curriculum. Proceedings of KSME 2014 Int'l Conference on Mathematical Education, 2016(1), 15-22.
23 Park, H. Y. & Rim, H. (2014). Analyzing features of collaborative problem solving competencies in PISA and ATC21S: Implications for instruction and assessment in Korea. Journal of Learner-Centered Curriculum and Instruction, 14(9), 439-462.
24 Pang, J. & Kim, S. H. (2006). An analysis on contents related to problem solving in the 7th elementary mathematics curriculum and instructional materials. School Mathematics, 8(3), 341-364.
25 Pang, J., Lee, J., & Seo, E. (2016). An analysis of elementary mathematics curricula and instructional materials related to problem solving. Journal of Educational Research in Mathematics, 26(3), 583-605.
26 Cai, J. (2003). What research tells us about teaching mathematics through problem solving. In F. Lester & R. Charles (Eds.), Teaching mathematics through problem solving (pp. 241-253). Reston, VA: National Council of Teachers of Mathematics.
27 Care, E., & Griffin, P. (2014). An approach to assessment of collaborate problem solving. Research and Practice in Technology Enhanced Learning, 9(3), 367-388.