Is mathematics created or discovered? Pre-service teachers’ perception on a classic enigma

V. Istihapsari, Rochmad Rochmad, Isnarto Isnarto
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Abstract

There are many classic questions about the nature of mathematics which have been an endless debate among philosophers. One of them is about whether mathematics is created or discovered. This research aims to find out the pre-service mathematics teachers’ perception about the classical enigma of mathematics after joining the course of history and philosophy of mathematics education. It was a descriptive qualitative research involving 45 pre-service mathematics teachers in their first-year training. We collected the data using questionnaire and then deepened the findings using semi-structured interview. The results suggest that 40% of the respondents believed that mathematics is created, while the rest 60% believed that mathematics is discovered. The two claims have their basic reasoning in the perspective of the respondents. Those who believed that mathematics is created argued that mathematics exists because of human activities. Therefore, it will never be founded if it is not created first. Meanwhile, those who believed that mathematics is discovered tended to argue that whether or not there is human activities to prove the mathematics phenomena, it is already there as the God created it. Thus, human just discovered it, not create it. Both arguments are interesting and have a potential impact to the mathematics education practice.
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数学是创造的还是发现的?职前教师对一个经典谜题的感知
关于数学的本质有许多经典的问题,这些问题一直是哲学家们无休止的争论。其中之一是关于数学是被创造还是被发现的。本研究旨在了解职前数学教师在加入数学教育史和哲学课程后对数学经典之谜的认知。这是一项描述性质的研究,涉及45名职前数学教师的第一年培训。我们采用问卷调查法收集数据,然后采用半结构化访谈法加深研究结果。结果表明,40%的受访者认为数学是被创造出来的,而其余60%的人认为数学是被发现的。从被调查者的角度来看,这两种说法都有其基本的理由。那些相信数学是被创造出来的人认为数学的存在是因为人类的活动。因此,如果不先创造它,它就永远不会成立。与此同时,那些相信数学是被发现的人倾向于认为,无论是否有人类活动来证明数学现象,它已经存在了,因为上帝创造了它。因此,人类只是发现了它,而不是创造它。这两种观点都很有趣,对数学教育实践具有潜在的影响。
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