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Journal of Educational Research in Mathematics -
Vol. 30 ,
No. 4

[ Article ] | |

Journal of Educational Research in Mathematics - Vol. 30, No. 4, pp.773-796 | |

Abbreviation: JERM | |

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

Print publication date 30 Nov 2020 | |

Received 10 Oct 2020 Revised 13 Nov 2020 Accepted 18 Nov 2020 | |

DOI: https://doi.org/10.29275/jerm.2020.11.30.4.773 | |

Investigating the Possibility of Performing Algebraic Generalization Based on the Analysis of Problem Solving on Near/Far Generalization of 6^{th} Graders | |

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

Students who have learned arithmetic in elementary mathematics would learn algebra in middle schools in earnest. So, the transition from arithmetical thinking to algebraic thinking is an important success factor for algebra learning. Therefore, in this study, 64 sixth graders solved the problems of near generalization and far generalization concerning the generalization of some figure patterns. Subsequently we analyzed their problem solving. As a result of the analysis, several cases of students having difficulties in performing algebraic generalization were identified. Through the discussion of the research results, several pedagogical implications were drawn to support the transition from arithmetical thinking to algebraic thinking in elementary school students.

Keywords: arithmetical generalization, algebraic generalization, near generalization, far generalization, early algebra |

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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).