• Journal of Educational Research in Mathematics
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• v.19 no.2
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• pp.307-319
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• 2009

Current school mathematics introduces addition/subtraction between natural numbers, fractions, decimal fractions, and square roots, step-by-step in order. It seems that, however, school mathematics focuses too much on learning the calculation method of addition/subtraction between each stages of numbers, to lead most of students to understand the coherent principle, lying in addition/subtraction algorithm between real numbers in all. This paper raises questions on this problematic approach of current school mathematics, in learning addition/subtraction. This paper intends to clarify the fact that, if we recognize addition/subtraction between numbers from the viewpoint of 'measuring' and 'common measure', as Dewey did when he argued that the psychological origin of the concept of number was measuring, then we could find some common principles of addition/subtraction operation, beyond the superficial differences among algorithms of addition/subtraction between each stages of numbers. At the end, this paper suggests the necessity of improving the methods of learning addition/subtraction in current school mathematics.

• Journal for History of Mathematics
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• v.19 no.2
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• pp.101-114
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• 2006

The content and method of geometry taught in secondary school is rooted in 'Elements' by Euclid. On the other hand, however, there are differences between the content and structure of the current textbook and the 'Elements'. The gaps are resulted from attempts to develop the geometry education. Specially, the content and method for the proportional relations of geometric figures has been varied. In this study, we reviewed the changes of the proportional relations of geometric figures with pedagogical point of view. The conclusion that we came to is that the proportional relations in incommensurable case Is omitted in secondary school. Teacher's understanding about the proportional relations of geometric figures is needed for meaningful geometry education.

• The Journal of the Korea Contents Association
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• v.22 no.8
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• pp.200-210
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• 2022

The purpose of this paper is to analyze Hirata Oriza's three plays, "Scientific Minds," "Monkeys on the Northern Limit Line" and "Balkan Zoo" with Lyotard's postmodern scientific view. Liotar, who claims that science and narratives follow the rules of their own pragmatic use, talks about the incommensurable parallelism between the two. Hirata Oriza points out that humans rely on narratives in the postmodern world. This paper analyzes Hirata Oriza's plays in three aspects. First, in the postmodern world where the master narrative has disappeared, it identifies the point where the boundaries that define the identity of human beings under the lost and developing science technology are fading. Second, we look at the pattern in which the parallelism between scientific knowledge and narrative knowledge is constantly diluted due to the characteristics of humans who understand the world by leaning on narrative. Finally, the aspects of small narratives are idetified, raised by individuals to comfort themselves toward a world where the master narrative disappears and is justified only by maximizing performance.

• Korean Educational Research Journal
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• v.42 no.1
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• pp.1-34
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• 2021

The thesis tries to compare The Structure of World History with Anti-Oedipus in the textual context, and to re-compare in the educational context. I mean by the education an event which contrasts starkly with an essence. It adopts 5W1H, a general reporting form of an accident or event, as the distinctive features at twice comparisons. The purpose of the thesis is not evaluative but interpretive comparison. In the textual context, the thesis discusses, 1) as WHAT, the use of Marx from Kant vs. Nietzsche's point of view, 2) as WHO, the actual subjects of the exchanging human vs. the productive machine, 3) as WHEN/WHERE, the society of the modes of exchange vs. the modes of inscription, 4) as HOW, the revolutionay means of the simultaneous revolution of the world vs. the schizophrenic process, 5) as WHY, the ideal subjects of the associative human vs. the non-human of liberation of desire. In the educational context, the thesis discusses, 1) in the WHAT as educational way, autonomous morality vs. active power, 2) in the WHO as the affirmity of actual subjects, that of the ideal idea vs. that of real power, 3) in the WHEN/WHERE, as the in-between time-space of education, the incommensurable communicative situation of humans vs. the conflictive of machines, 4) in the HOW, as the educational method of achieving the ideal, the involuntary restoration of the already-had ideal vs. the now-have completion and break-through of the schizophrenic process, 5) in the WHY, as the aim of education, cosmopolitan vs. overman.

• Journal of Korean Philosophical Society
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• v.137
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• pp.57-79
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• 2016

The purpose of this paper is to explain MacIntyre's critique of moral pluralism of modern society and reveal the limits of his critique of liberalism. It is a distinctive feature of the social and cultural order that we inhabit that disagreements over central moral issues are peculiarly unsettleable. Debates concerned with the value of human life such as those over abortion and euthanasia, or about distributive justice and property rights, or about war and peace degenerate into confrontations of assertion and counter-assertion because the protagonists of rival positions invoke incommensurable forms of moral assertion against each other. We usually call this situation 'modern moral pluralism' and concede as the natural outcome of the activities of human reason under free institution. But in After Virtue, MacIntyre vigorously criticizes modern moral pluralism. The main cause he took which brought about this state of affairs was the failure of 'the Enlightenment project'. According to MacIntyre, the Enlightenment project which has dominated philosophy for the past three hundred years promised a conception of rationality independent of historical and social context, and independent of any specific understanding of man's nature or purpose. But not only has that promise in fact been unfulfilled, the project is itself fundamentally flawed and the promise could never be fulfilled. In consequence, modern moral and political thought are in a state of disarray from which they can be rescued only if we revert to an Aristotelian paradigm, with its essential commitment, and construct an account of practical reason premised on that commitment. But one of the deepest difficulties with the argument of After Virtue is that the very extent of its critique of the modern world seems to cast doubt on the possibility of any realistic revival under the conditions of modernity of the Aristotelianism which MacIntyre advocates. Especially when we consider we are not only the characters found in our narratives but also we ourselves are the author of our own narratives. Moral pluralism is not seen as disaster but rather as the natural outcome of the activities of human reason under enduring free institutions.