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Journal of Educational Research in Mathematics -
Vol. 30 ,
No. 1

[ Article ] | |

Journal of Educational Research in Mathematics - Vol. 30, No. 1, pp.111-129 | |

Abbreviation: JERM | |

ISSN: 2288-7733 (Print) 2288-8357 (Online) | |

Print publication date 28 Feb 2020 | |

Received 10 Jan 2020 Revised 10 Feb 2020 Accepted 10 Feb 2020 | |

DOI: https://doi.org/10.29275/jerm.2020.02.30.1.111 | |

A Study on the Datum Problem in Middle School Geometry | |

Ko, Eun Mi ^{*} ; Suh, Bo Euk^{**}^{, †}
| |

*Teacher, Dong Daejeon Middle School (highsilver00@naver.com) | |

**Professor, Chungnam National University (eukeuk@cnu.ac.kr) | |

Correspondence to : ^{†}Professor, Chungnam National University, eukeuk@cnu.ac.kr | |

Abstract

The purpose of this study was to systematically analyze the problems with characteristics of data in the geometric domain of middle school textbooks to improve students' problem solving ability. Additionally, this study was conducted to facilitate an understanding of the problem solving tendency of students regarding the data problem. For this purpose, we analyzed the datum problems in the middle school textbook geometric domain, developed the questionnaires based on the data, and analyzed the problem solving characteristics of students. This study established the following research questions. First, what is the datum problem in the geometry of middle school textbooks, and what is the percentage of the total? Second, what are the characteristics of solving students' problems according to the type of datum problem? Third, what characteristics do students have in solving problems according to the format of the datum problem?

Through the analysis of the results, first, when comparing the overall average of the correct response rate, the correct response rate for the FD problems was the highest and the correct response rate for the RD problems was the lowest. Second, In the classification of forms, Form 1 and Form 3 have the same mathematical content to solve the problem and the same or similar procedures to solve the problem. But there was a difference in the correct response rate. Third, the correct answer rate for the RD problems of Form 2 and Form 4 was lower than that of Form 1 and Form 3. The RD problems of Form 2 and Form 4 required mathematical content beyond the curriculum of the school year. Although the content of the geometry is a key idea of problem solving, the mathematical the content of algebra required to solve the problem was at a high level compared to the FD problems.

Keywords: Mathematics problems, Form of math problem, The data, Datum problem, Geometry problem |

Acknowledgments

본 논문은 2019년 8월 석사학위논문을 발췌 정리하였음.

References

1. |
Ko, S. S, Jeon, S. H. (2009). A Case Study on Students’ Problem Solving in process of Problem Posing for Equation at the Middle School Level. Communications of mathematical education, 23(1), 109-129. |

2. |
Ko, E. M. (2019). A Study on the Problem solving Characteristics of the Datum Problem in Middle School Geometry. Unpublished master’s thesis, Chungnam National University of Education. |

3. |
The Ministry of Education (2015). Mathematics curriculum, Sejong: MEST. |

4. |
Suh, B. E. (2010). The Analysis study of "datum" in Middle School Geometry on the Basis of “The Data” of Euclid. Communications of mathematical education, 24(3), 691-708. |

5. |
Suh, B. E., & Kim, D. G. (2013). Euclid data, a book hidden in the secret of what is given. Seoul: Kyung Moon Sa. |

6. |
Yoon, D. W., Suh, B. E., & Kim, D. G. (2008). On Euclid’s data. Journal for history of mathematics, 21(2), 55-70. |

7. |
Seok, E. M. (2019). Development and Application of Mathematical Gifted Teaching and Learning Materials Based on Euclid's Book on Divisions of Figures. Unpublished master’s thesis, Korea National University of Education. |

8. |
Shin, H. K., Hwang, H. J., Lee, K. Y., Kim, H. Y., Jeo, J. M., Choi, H. J., & Yoon, K. W. (2013a). Middle School Mathematics 1. Seoul: Ji Hak Sa. |

9. |
Shin, H. K., Hwang, H. J., Lee, K. Y., Kim, H. Y., Jeo, J. M., Choi, H. J., & Yoon, K. W. (2013b). Middle School Mathematics 2. Seoul: Ji Hak Sa. |

10. |
Shin, H. K., Hwang, H. J., Lee, K. Y., Kim, H. Y., Jeo, J. M., Choi, H. J., & Yoon, K. W. (2013c). Middle School Mathematics 3. Seoul: Ji Hak Sa. |

11. |
Yum, S. S. (2009). A Study on Analytical Skills Useful for MATH. Problem Solving. Communications of mathematical education, 23(4), 1015-1022. |

12. |
Jung, W. Y. (2011). A Study on how to teach gifted students “excenter” by using Euclid's Data. Unpublished master’s thesis, Jeonnam National University. |

13. |
Han, I. K. (2001). A Study on the Structure of Mathematics Problems. Communications of mathematical education, 11, 279-290. |

14. |
Han, I. K. (2009). An Analysis of Geometrical Differentiated Teaching and Learning Materials Using Inner Structure of Mathematics Problems. Communications of mathematical education, 23(2), 175-196. |

15. |
Hwang, H. J., Na, G. S., Choi, S. H., Park, K. M., Lim, J. H., & Seo, D. Y. (2004). Theory of Mathematics Education. Seoul: Moon Um Sa. |

16. |
Eves H. (1990). An introduction to the history of mathematics. Saunders College Publishing. |

17. |
Herz-Fischler, R. (1984). “What are propositions 84 and 85 of Data all about?”, Historia Math., 11, 86-91. |

18. |
Knorr, Wilbur Richard. (1986). The Ancient Tradition of Geometric Problems. Birkhäuser, Boston. |

19. |
Menchinskaya, N. A. (1969). The psychology of mastering concepts: fundamental problems and methods of research. In Kilpatrick & Wirszup (Eds.), Soviet studies in the psychology learning and teaching mathematics, pp. 93-148). Chicago, IL: University of Chicago |

20. |
Skemp, R. R. (1989). Mathematics in the primary school. London: Routledge. |

21. |
The National Council of Teachers of Mathematics (1989). Curriculum and Evaluation Standards for School Mathematics. Virginia: NCTM, Inc. |

22. |
The National Council of Teachers of Mathematics (2000). Learning mathematics for a new century. Virginia: NCTM, Inc. |

23. |
Taisbak, Chr. Marinus. (1996). Zeuthen and Euclid's ‘Data’ 86 algebra - or A lemma about intersecting hyperbolas?, Centaurus, 38, 122-139. |

24. |
Taisbak, Chr. Marinus. (2003). Euclid's Data(ΔΕΔΟΜΕΝΑ) or The Importance of Being Given, Museum Tusculanum Press. |

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Submitting manuscripts for peer review as well as other correspondences can either be made via online by an email (ksesm@daum.net) or sending a mail at Secretariat of

Journal of Educational Research in Mathematics, #1305 Daewoo The'O Ville, 115 Hangang-daero, Yongsan-gu, Seoul, 04376, Republic of Korea (Tel: +82‐2‐797‐7780, Fax: +82‐2‐797‐7750).

Submitting manuscripts for peer review as well as other correspondences can either be made via online by an email (ksesm@daum.net) or sending a mail at Secretariat of

Journal of Educational Research in Mathematics, #1305 Daewoo The'O Ville, 115 Hangang-daero, Yongsan-gu, Seoul, 04376, Republic of Korea (Tel: +82‐2‐797‐7780, Fax: +82‐2‐797‐7750).