1 |
Asempapa, R. S. (2015). Mathematical modeling: Essential for elementary and middle school students. Journal of Mathematics Education, 8(1), 16-29.
|
2 |
Bentler, P. M. (1990). Comparative fit indexes in structural models. Psychological Bulletin, 107(2), 238-246.
DOI
|
3 |
Blum, W. & Ferri, R. B. (2009). Mathematical modelling: Can it be taught and learnt?. Journal of Mathematical Modelling and Application, 1(1), 45-58.
|
4 |
Chang, H. W., Kim, E. H., Kang, Y. J., & Choi, H. R. (2018). Teaching & learning analysis of mathematical modeling in 6th grade elementary school class using amount of milk. School Mathematics, 20(4), 547-572.
DOI
|
5 |
Choi, J. S. (2017). Prospective teachers' perception of mathematical modeling in elementary class. The Journal of Educational Research in Mathematics, 27(2), 313-328.
|
6 |
Choi, K. A. (2017). A study on literature review of mathematical modeling in mathematical competencies perspective. Journal of the Korean School Mathematics Society, 20(2), 187-210.
|
7 |
Choi, K. A. (2018). Trends in Korea research on mathematical modeling investigated by mathematical modeling map. Journal of the Korean School Mathematics Society, 21(4), 327-342.
DOI
|
8 |
Cirillo, M., Pelesko, J. A., Felton-Koestler, M. D., & Rubel, L. (2016). Perspectives on modeling in school mathematics. In C. R. Hirsch, & A. R. McDuffie (Eds.), Mathematical Modeling and Modeling Mathematics (pp. 3-16). Reston, VA: NCTM
|
9 |
Common Core State Standards Initiative (2010). Common Core State Standards for Mathematics. Retrieved from http://www.corestandards.org/Math/
|
10 |
Do, E. H., Choi, S. U., & Lee, S. M. (2011). Development and application of questions for the class of mathematical modeling. Educational Theory and practice, 21(0), 133-152.
|
11 |
Harrison, T. P. & Edward, K. J. (1989). Modeling learning effects via successive linear programming. European Journal of Operational Research, 40(1), 78-84.
DOI
|
12 |
Doerr, H. (2016). Designing sequences of model development tasks. In C. R. Hirsch, & A. R. McDuffie (Eds.), Mathematical Modeling and Modeling Mathematics (pp. 197-205). Reston, VA: The National Council of Teachers of Mathematics.
|
13 |
Gann, C., Avineri, T., Graves, J., Hernandez, M., & Teague, D. (2016). Moving students from remembering to thinking: The power of mathematical modeling. In C. R. Hirsch, & A. R. McDuffie (Eds.), Mathematical Modeling and Modeling Mathematics (pp. 97-106). Reston, VA: The National Council of Teachers of Mathematics.
|
14 |
Gould, H. T. (2013). Teachers' Conceptions of Mathematical Modeling (Doctoral dissertation). Ph.D, Teachers College, NY.
|
15 |
Hwang, H. J. (2007). A study of understanding mathematical modelling. School Mathematics, 9(1), 65-97.
|
16 |
Jung, H. Y., Lee, K. H., Baek, D. H., Jung, J. H., & Lim, K. S. (2018). Design for mathematical task inquiry subjects task based on the mathematical modeling perspective. School Mathematics, 20(1), 149-169.
DOI
|
17 |
Hwang, H. J. & Min, A. R. (2018). An investigation on the understanding of the mathematical modelling based on the results of domestic articles since 2007. Communications of Mathematical Education, 32(2), 225-244.
DOI
|
18 |
Joreskog, K. G. (1973). Analysis of covariance structures. In R. K. Paruchuri (Eds.), Multivariate Analysis-III (pp. 263-285). Ohio: Academic Press.
|
19 |
Jung, H. Y. & Lee, K. H. (2019). Instructional design of mathematical modeling for group creativity. The Journal of Educational Research in Mathematics, 29(1), 157-188.
DOI
|
20 |
Jung, S. Y. & Park, M. G. (2016). An analysis of mathematical modeling in the 3rd and 4th Grade elementary mathematics textbooks. Journal of the Korean School Mathematics Society, 19(1), 103-122.
|
21 |
Kang, O. K. (2010). A study on a modelling process for fitting mathematical modeling. The Journal of Educational Research in Mathematics, 20(1), 73-84.
|
22 |
Kelchtermans, G. (2005). Teachers' emotions in educational reforms: Self-understanding, vulnerable commitment and micropolitical literacy. Teaching and Teacher Education, 21(8), 995-1006.
DOI
|
23 |
Kim, G. T. & Ryu, S. R. (2013). An analysis of problem posing in the 5th and 6th grade mathematics textbooks and errors in problem posing of 6th graders. Journal of Elementary Mathematics Education in Korea, 17(2), 321-350.
|
24 |
Kim, M. K., Hong, J. Y., & Kim, H. W. (2010). A study on development of problem contexts for an application to mathematical modeling, The Mathematical Education, 49(3), 313-328.
|
25 |
Maass, K. (2010). Classification scheme for modelling tasks. Journal fur Mathematik-Didaktik, 31(2), 285-311.
DOI
|
26 |
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.
|
27 |
Ko, C. S. & Oh, Y. Y. (2015). The effects of mathematical modeling activities on mathematical problem solving and mathematical dispositions. Journal of Elementary Mathematics Education in Korea, 19(3), 347-370.
|
28 |
Land, T. J., Tyminski, A. M., & Drake, C. (2015). Examining pre-service elementary mathematics teachers' reading of educative curriculum materials. Teaching and Teacher Education, 51, 16-26.
DOI
|
29 |
Muthen, L. K., & Muthen, B. (2019). Mplus. The Comprehensive Modelling Program for Applied Researchers: User's Guide, 5.
|
30 |
Ministrary of Education. (2015). Mathematics Curriculum. Ministry of Education Announcement #2015-74..
|
31 |
National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
|
32 |
Niss, M. A. (1987). Aims and Scope of Appications and Modelling in Mathematics Curricula. Roskilde: Roskilde Universitet.
|
33 |
OECD (2009). PISA 2009. Assessment Framework. Key Competencies in Reading, Mathematics and Science. Paris: Author.
|
34 |
Park, J. H. (2017). Fostering mathematical creativity by mathematical modeling. The Journal of Educational Research in Mathematics, 27(1), 69-88.
|
35 |
Park, J. H. (2019). Task modification of preservice elementary teachers - Focusing on pattern tasks. School Mathematics, 21(1), 59-77.
DOI
|
36 |
Shin, H. S. & Lee, M. H. (2011). The effects of tasks setting for mathematical modelling in the complex real situation. Journal of the Korean School Mathematics Society, 14(4), 423-442.
|
37 |
Pollak, H. (2007). Mathematical modelling-a conversation with Henry Pollak. In W. Blum, P. Galbraith, H. W. Henn, & M. Niss (Eds.), Modelling and Applications in Mathematics Education: the 14th ICMI Study (pp. 109-120). New York: Springer.
|
38 |
Seo, J. H., Yeun, J. K., & Lee, K. H. (2013). Development and application of teaching-learning materials for mathematically-gifted students by using mathematical modeling : Focus on Tsunami. School Mathematics, 15(4), 785-799.
|
39 |
Shin, E. J. & Kwon, O. N. (2001). A study of exploration-oriented mathematical modeling. The Journal of Educational Research in Mathematics, 11(1), 157-177.
|
40 |
Shin, E. J. & Lee, C. H. (2004). An analysis of the interaction of perceptive, cognitive, and metacognitive activities on the middle school students' modeling activity. School Mathematics, 6(2), 153-179.
|
41 |
Shin, K. H. & Kim, Y. J. (2011). The case study for the development of conception of a graph and the formula with the absolute value through the mathematical modeling. The Mathematical Education, 50(2), 163-182.
|
42 |
Son, H. C. & Lew, H. C. (2007). The role of spreadsheet in model refinement in mathematical modeling activity. School Mathematics, 9(4), 467-486.
|
43 |
Stein, M. K. & Smith, M. S. (1998). Mathematical tasks as a framework for reflection: From research to practice. Mathematics Teaching in the Middle School, 3(4), 268-275.
DOI
|
44 |
Swetz, F. & Hartzler, J. S. (Eds.). (1991). Mathematical Modelling in the Secondary Classroom. Reston: National Council of Teachers of Mathematics.
|
45 |
Yu, H. G. & Yun, J. G. (2017). Development and application of program for mathematically gifted students based on mathematical modeling : focused on Voronoi diagram and Delaunay triangulation. Communications of Mathematical Education, 31(3), 257-277.
DOI
|
46 |
Tonia, J. L. & Andrew. M. T. (2015). Examining pre-service elementary mathematics teachers' reading of educative curriculum materials. Teaching and Teacher Education, 51, 16-26.
DOI
|
47 |
Usiskin, Z. (2015). Mathematical modeling and pure mathematics. Mathematics Teaching in the Middle School, 20(8), 476-482.
DOI
|
48 |
Verschaffel, L., De Corte, E., & Corey, D. (1995). Teaching realistic mathematical modeling in the elementary school: A teaching experiment with fifth-graders. Proceedings of PME Conference, 19(3), 105-112.
|