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Journal of Educational Research in Mathematics -
Vol. 30 ,
No. 2

[ Article ] | |

Journal of Educational Research in Mathematics - Vol. 30, No. 1, pp.1-17 | |

Abbreviation: JERM | |

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

Print publication date 28 Feb 2020 | |

Received 31 Dec 2019 Revised 04 Feb 2020 Accepted 12 Feb 2020 | |

DOI: https://doi.org/10.29275/jerm.2020.02.30.1.1 | |

A Semiotic Analysis of the Characteristics of Communicational Thinking in Collaborative Problem Solving | |

Kim, Su Min ^{*} ; Kim, Sun Hee^{**}^{, †}
| |

*Lecturer, Kangwon National University, South Korea (tnt3030@hanmail.net) | |

**Professor, Kangwon National University, South Korea (mathsun@kangwon.ac.kr) | |

Correspondence to : ^{†}Professor, Kangwon National University, South Korea, mathsun@kangwon.ac.kr | |

Abstract

The purpose of this study was to analyze the characteristics of communicational thinking in successful collaborative problem solving. In collaborative problem solving communication, the sender and receiver infer meaning to all mathematical objects and interpret them. From the semiotic perspective, this study reached the following results by analyzing the interpretants formed from the objects. First, in the early stages of problem solving, immediate interpretant were formed from the communicational thinking of students’ guesses, hypotheses, and perceptions, revealing the purpose-oriented characteristics of communicational thinking. Second, many dynamic interpretants were made in the communicational thinking, allowing the sign to perform practically. Third, the final interpretant obtained as a result of the students’ communicational thinking confirmed that the problem solving result has a universal character that can be recognized by anyone. Based on these findings, it is suggested that teachers must design tasks that allow them to use a variety of mathematical approaches on their own. And it is suggested that affective as well as cognitive domain should be achieved and that studies to examine students’ thinking process by applying semiotics should be activated.

Keywords: communicational thinking, oriented characteristics, interpretant, semiotics, collaborative problem solving |

Acknowledgments

이 논문은 김수민의 박사학위논문의 일부를 요약, 정리한 것임.

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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).