The Korea Society Of Educational Studies In Mathematics

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Journal of Educational Research in Mathematics - Vol. 31, No. 2

[ Article ]
Journal of Educational Research in Mathematics - Vol. 31, No. 1, pp.17-34
Abbreviation: JERM
ISSN: 2288-7733 (Print) 2288-8357 (Online)
Print publication date 28 Feb 2021
Received 31 Dec 2020 Revised 08 Feb 2021 Accepted 16 Feb 2021

Sequences of Word Problems in Elementary Mathematics Textbooks Based on Nominalization: Focusing on the Unit ‘Ratio and Rate’
Lee, Kwanhee* ; Chang, Hyewon**,
*Professor, Seoul National University of Education, South Korea (
**Professor, Seoul National University of Education, South Korea (

Correspondence to : Professor, Seoul National University of Education, South Korea,

Funding Information ▼


As part of linguistic approaches to narrowing the gap between everyday words and mathematical representations in the mathematical modeling process of word problems as known to cause difficulties for students, this study examines the nominalization of the grammatical metaphor in systematic functional linguistics. We analyzed word problems in the unit “Ratio and Rate” from the mathematics textbook 6-1 using two conceptual frameworks: types of nominalization and methods for nominalization. Our analysis shows that not only do [Type 1], [Type 2], and [Type 2'] of the nominalization fail to have proper sequence but also nominalizations by clause composition, phrase composition, and vocabulary are present with little consideration of sequence from a linguistic point of view. As regards students’ ability to use nominalization to identify objects for mathematical objectification in word problems, we discuss the importance of and method for appropriate curricular sequencing of word problems in mathematics textbooks relative to both the types of and the methods for nominalization.

Keywords: ratio, rate, word problems, sequence, grammatical metaphor, nominalization


이 논문은 2020년 서울교육대학교 대학혁신지원사업 SCALE-UP 학제 간 통합 연구 사업의 지원을 받아 수행되었음.

1. Chang, H. (2002). A study on the homogeneity of objects and the variety of contexts in addition word problems. The Journal of Educational Research in Mathematics, 12(1), 17-27.
2. Chang, H., & Lim, M. (2019). The analysis of 2nd graders’ expressions using □ on addition and subtraction word problems. School Mathematics, 21(2), 441-457.
3. Chang, H., Lim, M., & Yu, M. et al. (2017). A comparative analysis of ratio and rate in elementary mathematics textbooks. Journal of Elementary Mathematics Education in Korea, 21(1), 135-160.
4. Cheng, L. (2018). A study on grammatical metaphor of Korean based on systemic functional linguistics. Korean Literature & Language Education, 26, 97-126.
5. Halliday, M. A. K. (1985). An introduction to functional grammar. Baltimore.
6. Halliday, M. A. K. (2004). The language of science. Continuum.
7. Heh, N., & Shin, H. (2013). Analysis on sentence error types of mathematical problem posing of pre-service elementary teachers. Journal of the Korean School Mathematics, 16(4), 797-820.
8. Hwang, H., Na, G., Choi, S., Park, K., & Lim, J. (2016). New mathematics education. Seoul: Mooneum.
9. Jo, J. (2018a). A convergence education of grammar and mathematics. A Convergence education based on the language education, 225-279. Seoul: Sawheipyoungron.
10. Jo, J. (2018b). A study on the process of understanding the word problem from the viewpoint of grammatical metaphor. Textlinguistik, 45, 279-306.
11. Joo, S. (2015). The role of Korean grammar education in the convergence age. 280th Conference of the Society of Korean Language Education, 21-41.
12. Jun, S., & Cho, J. (2015). A study on the written texts of a high school mathematics textbook and teacher’s classroom discourse. The Journal of Educational Research in Mathematics, 25(4), 525-547.
13. Kang, H., & Baek, S. (2009). Problem solver's responses according to the sentence structures of mathematical word problems. The Journal of Educational Research in Mathematics, 19(1), 63-80.
14. Kim, D., Koh, H., Baek, S., An, Y., & Kim, B. (2015). Analysis of error types in fraction word problems according to achievement levels: focusing on the 5th grade elementary students. The Journal of Learner-centered Curriculum and Instruction, 15(5), 207-227.
15. Kim, J. (1998), Study on the word problems in the Korean elementary school mathematics textbooks from a problem solving point of view. Unpublished doctoral dissertation, Ewha Womans University.
16. Kim, S., & Kim, H. (2005). Analysis on word problems of elementary mathematics textbooks -Focusing on syntax and semantics-. The Journal of Curriculum and Evaluation, 8(1), 197-226.
17. Lee, H. (2006). The structure of knowledge and subjects. Paju: Kyoyookbook.
18. Maeng, S., Shin, M., Cha, H., Ham, S., Shin, H., & Kim, C. (2010). Understanding of the linguistic features of earth science treatises: Register analysis approach. The Journal of the Korean Earth Science Society, 31(7). 785-797.
19. Ministry of Education (2014). Science 3-1. Seoul: Miraen.
20. Ministry of Education (2015). Mathematics curriculum. Notification of the Ministry of Education No. 2015-74 [vol. 8].
21. Ministry of Education (2019). Mathematics teacher’s guidebook 6-1. Seoul: Chunjae Education.
22. Nam, J. (2008). Construction of mathematical knowledge. Seoul: Kyungmoon.
23. O'Halloran, K. L. (2003). Intersemiosis in mathematics and science: Grammatical metaphor and semiotic metaphor, In A. M. Simon- Vandenbergen, M. Taverniers, & L. Ravelli (eds.), Grammatical metaphor: Views from systemic functional linguistics. John Benjamins Publishing Company.
24. Park, J., Kang, H., & Cho, J. (2017). A study on the communication and composition of curriculum knowledge from the perspective of grammar education. 284th Conference of the Society of Korean Language Education, 291-309.
25. Polya, G. (1957), How to solve it. Princeton University Press.
26. Ra, W., & Baek, S. (2009). Teaching the comprehension of word problems through their mathematical structure in elementary school mathematics. Journal of Elementary Mathematics Education in Korea, 13(2), 247-268.
27. Radford, L. (2012). Mathematics teaching and learning from a cultural semiotic perspective: the theory of objectification.
28. Shin, S. (2009). Language of science. Ratio et Oratio, 2(1), 36-60.
29. So, J. (2020). A study on grammar education from the functional metalanguage perspective for improving disciplinary literacy. Unpublished doctoral dissertation, Seoul National University.
30. So, J., & Joo, S. (2017). Exploring the instrument-based essence of Korean language education with a focus on “grammatical metaphor” in science textbooks. Journal of Korean Language Education, 39, 119-158.
31. So, J., & Joo, S. (2018). A study on the linguistic characteristics of elementary and middle school history textbooks -Focusing on the essence of the instrumental subject of Korean language-. Journal of Elementary Korean Education, 65. 77-108.
32. So, J., Sung, K., & Joo, S. (2018). A study of the linguistic characteristics of middle school learners’ descriptive answers. Korean Language Education, 161. 159-187.
33. Taverniers, M. (2013). Grammatical metaphor as a construct. Gardners Books.
34. Yang, M. (2003). Curriculum and teaching method. Paju: Kyoyookbook.
35. Yoo, H. (2017). The analytic study on the structure of the sentences in the math textbooks of an elementary school. Grammar Education, 31, 311-340.