HOME | Browse Archives | About | For Contributors | E-submission |

Sorry.

You are not permitted to access the full text of articles.

If you have any questions about permissions,

please contact the Society.

죄송합니다.

회원님은 논문 이용 권한이 없습니다.

권한 관련 문의는 학회로 부탁 드립니다.

Journal of Educational Research in Mathematics -
Vol. 29 ,
No. 3

[ Article ] | |

Journal of Educational Research in Mathematics - Vol. 29, No. 3, pp.405-423 | |

Abbreviation: JERM | |

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

Print publication date 31 Aug 2019 | |

Received 05 Jul 2019 Revised 05 Aug 2019 Accepted 12 Aug 2019 | |

DOI: https://doi.org/10.29275/jerm.2019.8.29.3.405 | |

An Analysis of 2nd Graders’ Problem Solving Strategies on Early Algebra | |

Lim, Miin ^{*} ; Chang, Hyewon^{**}^{, †}
| |

*Teacher, Seoul Kaemyong Elementary School, South Korea (ssbin22@sen.go.kr) | |

**Professor, Seoul National University of Education, South Korea (hwchang@snue.ac.kr) | |

Correspondence to : ^{†}Professor, Seoul National University of Education, South Korea, hwchang@snue.ac.kr | |

Abstract

The purpose of this study was to investigate the preparation for learning algebra of 2nd graders and to derive some didactic implications of transition from arithmetical thinking to algebraic thinking. 100 2nd graders in elementary school were selected as subjects of this study from H, J, K, W elementary schools in Seoul, and B elementary school in Gyeonggi-do. These students were found to be less than 1st level of arithmetical thinking as a result of the preliminary test according to the arithmetical thinking level test developed by Lim & Chang(2017). Questionnaires were prepared by adapting and reconstructing four word-problems for preparing algebraic learning which are proposed to be available to 1st and 2nd graders in elementary school by Caldwell et al.(2011), and Caldwell et al.(2014). Using the questionnaires, the students’ problem solving strategies were analyzed. From the results of the analysis, some meaningful implications for helping early algebraic learning and the elementary students’ transition from arithmetical thinking to algebraic thinking were found.

Keywords: early algebra, problem solving strategy |

References

1. |
Blanton, M., Levi, L., & Crites, T. (2011). Developing essential understanding of algebraic thinking for teaching mathematics in grades 3-5. VA: National Council of Teachers of Mathematics. |

2. |
Blanton, M., Stephens, A., Knuth, E., Gardiner, A. M., Isler, I., & Kim, J. S. (2015). The development of children’s algebraic thinking: The impact of a comprehensive early algebra intervention in third grade. Journal for Research in Mathematics Education, 46(1), 39-87. |

3. |
Caldwell, J. H., Karp, K., & Bay-Williams, J. M. (2011). Developing essential understanding of addition and subtraction for teaching mathematics in prekindergarten-grade 2. VA: National Council of Teachers of Mathematics. |

4. |
Caldwell, J. H., Kobett, B., & Karp, K. (2014). Putting essential understanding of addition and subtraction into practice in prekindergarten- grade 2. VA: National Council of Teachers of Mathematics. |

5. |
Carraher, D., & Schliemann, A. (2007). Early algebra. Lester, F. K. (Ed.), Second handbook of research on mathematics teaching and learning, 669-705. VA: National Council of Teachers of Mathematics. |

6. |
Chang, H., Choi, H., Kang, Y., & Kim, E. (2019). Development and application of mathematical modeling task for the lower grade elementary school students. Journal of Elementary Mathematics Education in Korea, 23(1), 93-117. |

7. |
Choi, J., & Pang, J. (2011). Fostering algebraic reasoning ability of elementary school students: Focused on the exploration of the associative law in multiplication. School Mathematics, 13(4), 581-598. |

8. |
Han, C., & Kwon, O. (2018). Domestic research trends and tasks on early algebra education : Focused on the elementary school mathematics. Journal of Elementary Mathematics Education in Korea, 22(2), 115-142. |

9. |
Kang, W., Kim, S., Park, M., Paik, S., Oh, Y., & Chang, H. (2014). Elementary mathematics education. Seoul: Kyungmoon Publishers. |

10. |
Kaput, J. (2008). What is algebra? What is algebraic reasoning? Kaput, J., Carrher, D., & Blanton, M. (Eds.), Algebra in early grades (pp. 5-17). Lawrence Erlbaum Associates. |

11. |
Kim, N. (1999). On some teaching problems related to the learning of variable concept in school mathematics. School Mathematics, 1(1), 19-37. |

12. |
Kim, S. (2013). A comparative study on early algebra between Korea and USA textbooks -focusing to operation sense in the elementary mathematics-. East Asian Mathematical Journal, 29(4), 355-392. |

13. |
Lee, H., & Chang, K. (2012). Algebraic reasoning abilities of elementary school students and early algebra instruction(1). School Mathematics, 14(4), 445-468. |

14. |
Lim, M., & Chang, H. (2016). A case study on levels of arithmetical thinking of an underachiever in number and operation -Focusing on a 6th grader-. Journal of Educational Research in Mathematics, 26(3), 489-508. |

15. |
Lim, M., & Chang, H. (2017). An analysis on levels of the arithmetical thinking and development of the arithmetical thinking level test. Journal of Elementary Mathematics Education in Korea, 21(4), 575-598. |

16. |
Lins, R., & Kaput, J. (2004). The early development of algebraic reasoning: The current state of the field. The future of the teaching and learning of algebra (The 12th ICMI Study). The University of Melbourne. Kluwer Academic Publishers. |

17. |
Ministry of Education (1985). Elementary school mathematics textbook 3-2. |

18. |
NCTM. (2000). Principles and standards for school mathematics. VA: Reston. |

19. |
NCTM. (2009). Guiding principles for mathematics curriculum and assessment. VA: Reston. |

20. |
Radford, L. (2012). Mathematics teaching and learning from a cultural semiotic perspective: the theory of objectification. |

21. |
Radford, L. (2014). The progressive development of early embodied algebraic thinking. Mathematics Education Research Journal, 26, 257-277. |

22. |
Sparks, S. D. (2019). Algebra for 3rd graders? Education Week. https://www.edweek.org/TEACHER/NEWS/Inside School Research Blog. |

Copyright ⓒ statement 2012, Korean Society of Educational Studies in Mathematics All Rights Reserved.

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).