참고문헌
- Chang, H. W. (2002). A Discussion on the distinction between 'the value of ratio' and 'the rate' in elementary school mathematics. School Mathematics, 4(4), 633-642.
- Chang, H., Lim, M., Yu, M., Park, H., Kim, J., & Lee, H. (2017). A comparative analysis of ratio and rate in elementary mathematics textbooks. Journal of Elementary Mathematics Education in Korea, 21(1), 135-160.
- Chong, Y. O. (2015). Teaching proportional reasoning in elementary school mathematics. Journal of Educational Research in Mathematics, 25(1), 21-58.
- Chong, Y. O. (2016). Teaching percent in elementary school mathematics. Journal of Elementary Mathematics Education in Korea, 20(1), 71-104.
- Freudenthal, H. (1999). Didactical phenomenology of mathematical structures. Kluwer Academic Publishers.
- Hong, G. J. (2013). A discussion on the terms related to ratio and rate from the revised 2007 curriculum textbook. Journal of Educational Research in Mathematics, 23(2), 285-295.
- Jeong, E. S. (2003a). A historical, mathematical, psychological analysis on ratio concept. School Mathematics, 5(4), 421-440.
- Jeong, E. S. (2003b). An educational analysis on ratio concept. Journal of Educational Research in Mathematics, 13(3), 247-265.
- Kheong, F. H., Ramakrishnan, C., & Choo, M. (2017a). My pals are here! 5A. Marshall Cavendish Education.
- Kheong, F. H., Ramakrishnan, C., & Choo, M. (2017b). My pals are here! 5B. Marshall Cavendish Education.
- Kheong, F. H., Ramakrishnan, C., & Choo, M. (2018a). My pals are here! 6A. Marshall Cavendish Education.
- Kheong, F. H., Ramakrishnan, C., & Choo, M. (2018b). My pals are here! 6B. Marshall Cavendish Education.
- Kim, J. (2019). Analysis of content correlation between grades 3-6 mathematics and science textbooks in the 2015 revised curriculum. School Mathematics, 21(4), 735-754. https://doi.org/10.29275/sm.2019.12.21.4.735
- Kim, K. H., & Paik, H. S. (2010). Comparison of the curricula and the textbooks concerning the proportion and ratio area between Korea and Singapore. School Mathematics, 12(4), 473-491.
- Kim, S. M. (2015). Different views of the US and Korea about mathematical terminologies, 'ratio' and 'rate'. Journal of Educational Research in Mathematics, 25(3), 431-448.
- Lamon, S. J. (2012). Teaching fractions and ratios for understanding (3rd ed.). Routledge.
- Lee, J. E., Kim, J., & Park, K. S. (2015). A comparative study on definition of ratios in elementary school mathematics textbooks between Korean and Japanese. Journal of Elementary Mathematics Education in Korea, 19(4), 485-499.
- Lesh, R., Post, T. R., & Behr, M. (1988). Proportional reasoning. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 93-118). National Council of Teachers of Mathematics; Lawrence Erlbaum Associates.
- Lessani, A., Yunus, A. S. M., Tarmiz, R. A., & Mahmud, R. (2014). Why Singaporean 8th grade students gain highest mathematics ranking in TIMSS (1999-2011). International Education Studies, 7(11), 173-181.
- Lobato, J., & Ellis, A. B. (2010). Developing essential understanding of ratios, proportions, and proportional reasoning for teaching mathematics in Grades 6-8 (R. I. Charles & R.M. Zbiek, Eds.). National Council of Teachers of Mathematics.
- Ministry of Education [MOE] (2022a). Mathematics textbook 6-1. Visang Education.
- Ministry of Education [MOE] (2022b). Mathematics textbook 6-2. Visang Education.
- Ministry of Education [MOE] (2022c). Teachers' guidebook of mathematics textbook 6-1. Visang Education.
- Park, H. J., & Jeong, E. S. (2010). A comparative analysis on units about ratio and rate between Korean mathematics textbook and MIC textbook. Journal of Elementary Mathematics Education in Korea, 14(3), 769-788.
- Park, K. S. (2010). A critical analysis on definitions of Biyoul and value of Bi in elementary mathematics in Korea. Journal of Educational Research in Mathematics, 20(3), 397-411.
- Park, S. Y., & Lee, K. (2018). The comparison and analysis of models on ratio and rate in elementary mathematics textbooks: Centering on multiplicative perspectives on proportional relationships and the structure of proportion situations. Education of Primary School Mathematics, 21(2), 237-260. https://doi.org/10.7468/jksmec.2018.21.2.237
- Seo, M., Kim, K., Lee, J., Jeon, S., & Kim, S. (2021). Comprehensive analysis on the results of TIMSS 2019 and its trends. Korea Institute for Curriculum and Evaluation. RRE-2021-5.
- Thompson, P. W. (1994). The development of the concept of speed and its relationship to concepts of rate. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 179-234). State University of New York Press.
- Thompson, P. W., & Thompson, A. G. (1992, April 20-25). Images of rate [Paper presentation]. Annual Meeting of the American Educational Research Association. San Francisco, CA, United States. http://bit.ly/17oJe30
- Vergnaud, G. (1988). Multiplicative structures. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 141-161). National Council of Teachers of Mathematics; Lawrence Erlbaum Associates.
- Yim, J. (2015). A didactical analysis of Korean mathematical terms Bi-yul and Bi-ui-gap. Journal of Elementary Mathematics Education in Korea, 19(3), 371-386.
- Yim, J. (2019). Meaning of the expression a:b=c:d and implications for teaching. Journal of Elementary Mathematics Education in Korea, 23(3), 273-288.
- Yim, J. (2020). Analysis of the introduction of ratio concept in view of situation, unit, and meaning. Journal of Elementary Mathematics Education in Korea, 24(4), 299-321.
- Yim, J. (2021). Analysis on expressions to explain the concept of rate in Korean elementary mathematics textbooks. Journal of Elementary Mathematics Education in Korea, 25(3), 295-313.