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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.649-673 | |

Abbreviation: JERM | |

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

Print publication date 30 Nov 2020 | |

Received 01 Oct 2020 Revised 08 Nov 2020 Accepted 17 Nov 2020 | |

DOI: https://doi.org/10.29275/jerm.2020.11.30.4.649 | |

Pre-service Teachers’ Conceptions Revealed from Interpreting and Using Rate of Change | |

Lee, Jihyun ^{*} ; Yi, Gyuhee^{**}^{, †}
| |

*Professor, Incheon National University, South Korea (jihyunlee@inu.ac.kr) | |

**Teacher, Namsung Middle School, South Korea (narara292@gmail.com) | |

Correspondence to : ^{†}Teacher, Namsung Middle School, South Korea, narara292@gmail.com | |

Abstract

The function concept arose from analyzing the relationships between co-varying quantities to model change. From the covariation perspective of function, we analyzed the responses of 13 pre-service teachers to the tasks to interpret rates of change or reason the corresponding change of one quantity from the changes of the other using the given rate of change; by using the rate of change, a change of one quantity can be directly deduced from the given change of the other quantity. Most of the pre-service teachers reasoned the change correctly. However, a portion of pre-service teachers reflexively calculated the formula of the function and the difference between the two values of the function. In addition, some teachers revealed their insufficient understanding of the slope of the linear function. The conceptions of pre-service teachers help elucidate what and how students might learn and might not learn about functions from the school mathematics curriculum.

Keywords: function, rate of change, change in quantity, covariation |

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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).