2013 Fiscal Year Final Research Report
A Fundamental Research on Mathematical Models for Collaborative Learning
| Project/Area Number |
24650557
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Educational technology
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| Research Institution | Hiroshima University |
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Principal Investigator |
YASUTAKE Koichi 広島大学, 社会(科)学研究科, 講師 (80263664)
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| Co-Investigator(Kenkyū-buntansha) |
NAKAMURA Yasuyuki 名古屋大学, 大学院情報科学研究科, 准教授 (70273208)
YAMAKAWA Osamu 福井県立大学, 学術教養センター, 教授 (90230325)
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| Project Period (FY) |
2012-04-01 – 2014-03-31
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| Keywords | 複雑系科学 / 学習科学 / 数理モデル / ネットワーク分析 / 力学系 |
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| Research Abstract |
One of the most global interests in the research horizons of educational technology and learning sciences are emergent of massive virtual learning environment like MOOC and the new proposed approach to learning sciences, i.e. Learning Analytics. With respect to these movements, our findings in this research are as follows; 1) It may be necessary to introduce mathematical analytics based on Markov Process like Yule process or Birth-Death process, to analyze learning processes in massive virtual learning environments like MOOC. 2) Learning processes weave "fast variables" with "slow variables". Learning phenomena are based on these variables. Therefore, applying "the principle of slaving" , which is propounded in Synagetics, to describe learning phenomena mathematically will be one of the most successful strategies.
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