Výsledky vyhledávání - "Hakamata, Ryoto"

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Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots

Autor: Hakamata, Ryoto, Teragaito, Masakazu

Publikováno v: Algebr. Geom. Topol. 14 (2014) 2125-2148

For any hyperbolic genus one 2-bridge knot in the 3-sphere, we show that the resulting manifold by $r$-surgery on the knot has left-orderable fundamental group if the slope $r$ lies in some range which depends on the knot.
Comment: 19 pages, 2 f

Externí odkaz: http://arxiv.org/abs/1301.2361

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Left-orderable fundamental group and Dehn surgery on twist knots

Autor: Hakamata, Ryoto, Teragaito, Masakazu

For any hyperbolic twist knot in the 3-sphere, we show that the resulting manifold by $r$-surgery on the knot has left-orderable fundamental group if the slope $r$ satisfies the inequality $0\le r \le 4$.
Comment: 12 pages, 2 figures

Externí odkaz: http://arxiv.org/abs/1212.6305

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Left-orderable fundamental group and Dehn surgery on the knot $5_2$

Autor: Hakamata, Ryoto, Teragaito, Masakazu

We show that the resulting manifold by $r$-surgery on the knot $5_2$, which is the two-bridge knot corresponding to the rational number 3/7, has left-orderable fundamental group if the slope $r$ satisfies $0\le r\le 4$.
Comment: 8 pages, 1 figur

Externí odkaz: http://arxiv.org/abs/1208.2087

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Akademický článek

Potential of Brousseau’s guessing game in teacher education: two complementary cases.

Autor: Hakamata, Ryoto¹ (AUTHOR), Fukuda, Hiroto² (AUTHOR), Otani, Hiroki³ (AUTHOR), Otaki, Koji⁴ (AUTHOR) otaki.koji@k.hokkyodai.ac.jp, Barquero, Berta⁵ (AUTHOR), Bosch, Marianna⁵ (AUTHOR)

Publikováno v: International Journal of Mathematical Education in Science & Technology. Mar2024, p1-21. 21p. 10 Illustrations.

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Comparing the usage of proof-related words in German and Japanese mathematics textbooks

Autor: Hakamata, Ryoto, Bredow, Fiene, Knipping, Christine, Miyakawa, Takeshi, Shinno, Yusuke

Publikováno v: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5da947c931a28f3a345fed962f821d12
https://hdl.handle.net/10045/126778

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On study and research responsibilities: a case in Japanese upper secondary school

Autor: Hakamata, Ryoto, Otaki, Koji

This presentation aims to identify some students’ roles on a study and research path conducted in a Japanese upper secondary high school. Especially, we focus on responsibilities for questioning and answering in their inquiry. For this purpose, we

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2666::6a2acf5ee31e418d645bd141525343c5
http://funes.uniandes.edu.co/24842/

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CAN STUDENTS CONSTRUCT NON-CONSTRUCTIVE REASONING? IDENTIFYING FUNDAMENTAL SITUATIONS FOR PROOF BY CONTRADICTION

Autor: Hayata, Toru, Uegatani, Yusuke, Hakamata, Ryoto

Publikováno v: Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education. 3:43-50

The purpose of this study is to identify and empirically corroborate a fundamental situation (Brousseau, 1997) for constructing “proof by contradiction.” We identified the four elements of a fundamental situation: i) obtaining strong conviction;

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::580e6493cc1bebc8b85b9cba221ed133
http://ir.lib.hiroshima-u.ac.jp/00046414

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