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Journal of Educational Research in Mathematics -
Vol. 31, No. 2

[ Original Article ] | |

Journal of Educational Research in Mathematics - Vol. 31, No. 2, pp.179-210 | |

Abbreviation: JERM | |

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

Print publication date 31 May 2021 | |

Received 01 Apr 2021 Revised 26 Apr 2021 Accepted 29 Apr 2021 | |

DOI: https://doi.org/10.29275/jerm.2021.31.2.179 | |

Introduction of Conditional Probability with the Relative Frequency Approach: Focus on the Use of the Frequency Tree Diagram and Simulation | |

Inyong Choi ^{†}
| |

†Teacher, Hansung Science High School, South Korea | |

Correspondence to : ^{†}Inyong Choi, Email: naru84@gmail.com | |

Copyright © The Korea Society of Educational Studies in Mathematics This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/4.0), which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. | |

Abstract

The purpose of this study is to propose and discuss the pedagogical idea of introducing conditional probability with the relative frequency approach. This study developed a learning activity and simulation using the frequency tree diagram and implemented them. The first-year high school students (n=14) were able to construct the concept of conditional probability through a frequency perspective of sequentially obtaining the conditional relative frequency, the limit of the relative frequency, and the theoretical probability. The implications for teaching and curriculum were presented.

Keywords: conditional probability, relative frequency approach, natural frequency, tree diagram, simulation |

CONFLICTS OF INTEREST

No potential conflict of interest relevant to this article wasr eported.

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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).