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http://dx.doi.org/10.14477/jhm.2019.32.3.109
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An Analysis on the Naturalness of Natural Logarithm and its Educational Implication |

Park, Sun-Yong (Dept. of Math. Edu., Yeungnam Univ.) |

Publication Information

Abstract

In order to improve the educational situation in which the natural number e and the natural logarithm are dealt with somewhat perfunctorily, this study explores the genetic process in which the natural logarithm and its base e occurred, and has an educational discussion based on that analysed process. Specifically, the study inquires into how the natural logarithm happened in relation to the quadrature of the hyperbolic curves through analysis and thought experimentation in mathematics history. Particularly, it sheds light on the role of e and the naturalness of the natural logarithm in terms of the introduction of the real number exponent. Also, this study discusses what the findings suggest educationally.

Keywords

base; natural logarithm; naturalness; real number exponent;

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