著者
内田 らら Lala UCHIDA 東京工芸大学工学部基礎教育研究センター
雑誌
東京工芸大学工学部紀要. 人文・社会編 = The Academic Reports, the Faculty of Engineering, Tokyo Polytechnic University (ISSN:03876055)
巻号頁・発行日
vol.24, no.2, pp.1-9, 2001

In this paper, I examine where nanka in ordinary conversations comes from. Here I take into consideration the relationship between nanka and "concept" (Halliday 1994:59) in "information unit" (ibid.). From analysis and discussion, I point out (1) nanka is not "a habit of saying" to make introductory remarks, but discourse marker which follows new concepts for hearers and (2) nanka is born of metaphorical grammaticalization from pronoun and metonymic one from adverbial particle to discourse marker. Moreover, I make clear the process of grammaticalization concerning nanka. That is, nanka is derived from pronoun expressing what is unspecified. Later, influenced by adverbial particle, it marks the whole utterances after nanka as something vague and is used in order to connect to clear contexts before nanka. Then, it is grammaticalized as an expression that implies the speaker's attitude to or judgement on what remains vague after nanka.
著者
植野 義明 Yoshiaki UENO 東京工芸大学工学部基礎・教養
雑誌
東京工芸大学工学部紀要 = The Academic Reports, the Faculty of Engineering, Tokyo Polytechnic University (ISSN:03876055)
巻号頁・発行日
vol.23, no.1, pp.83-92, 2000

Mamakodate is a Japanese traditional game. It was already known in early Kamakura period. The rule is similar to that of the problem of Josephus in the Western sphere, but there are some characteristic properties not common in the western culture. Because of the difference of the rules, Mamakodate has some superficially probabilistic feature compared to Josephus' problem, which is a simple deterministic game. This paper examines these features of Mamakodate in the light of cultural history of mathematics.
著者
植野 Yoshiaki UENO 東京工芸大学工学部基礎・教養
雑誌
東京工芸大学工学部紀要 = The Academic Reports, the Faculty of Engineering, Tokyo Polytechnic University (ISSN:03876055)
巻号頁・発行日
vol.21, no.1, pp.86-92, 1998
被引用文献数
2

This paper will present an overview plot of a new discrete mathematics course. Its intended audience is non-science majors. The unique feature of this course is its use of computer algebra. After creating some super magic squares of size 5 by hand, super magic squares of size 4 are classified with the aid of Mathematica. Then the mathematical structure of these magic squares will be examined through an innovative approach by the author. Students can learn the use of arithmetic of modulo m, and the 4-dimensional geometry over the field with two elements. Overall, the goal of this course is to make the student a critical consumer of mathematical games, to understand what a mathematical structure is and how it works. We also mention that magic squares will provide good examples 'in nature' to motivate the student in a linear algebra course.
著者
植野 義明 Yoshiaki UENO 東京工芸大学工学部基礎・教養
雑誌
東京工芸大学工学部紀要 = The Academic Reports, the Faculty of Engineering, Tokyo Polytechnic University (ISSN:03876055)
巻号頁・発行日
vol.21, no.1, pp.86-92, 1998

This paper will present an overview plot of a new discrete mathematics course. Its intended audience is non-science majors. The unique feature of this course is its use of computer algebra. After creating some super magic squares of size 5 by hand, super magic squares of size 4 are classified with the aid of Mathematica. Then the mathematical structure of these magic squares will be examined through an innovative approach by the author. Students can learn the use of arithmetic of modulo m, and the 4-dimensional geometry over the field with two elements. Overall, the goal of this course is to make the student a critical consumer of mathematical games, to understand what a mathematical structure is and how it works. We also mention that magic squares will provide good examples 'in nature' to motivate the student in a linear algebra course.