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- 大滝 孝治
- 広島大学大学院教育学研究科
書誌事項
- タイトル別名
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- A Study on Symbiogenesis of Probabilistic Conception
- カクリツ コンセプション ノ キョウセイ ハッセイ ニ カンスル イチ コウサツ
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抄録
The aim of this paper is to characterize a construction of children's conception on the elementary concept of probability. Firstly, three dualities on classical probability and frequentistic probability are identified. A construction of children's conception on the elementary concept of probability is accomplished as a cooperation of these dualities. <br><br>table 1: Dualities on classical probability and frequentistic probability<br><br>Secondly, a model of a cooperation of dualities on two concepts of probabilities is elaborated, using analogy with "symbiogenesis" which is a concept for interpreting cooperation on evolution of living things in the theory of evolution. This model is laden with three points of Table 1. Phase 1 indicates the condition of learning classical probability or frequentistic probability. Phase 2 indicates the condition of learning two probabilities and of occurring some misconceptions. Phase 3 indicates the condition of understanding two probabilities. <br><br>Figure 1: A model of symbiogenesis of probabilistic conception<br><br>Finally, it is suggested that a conflict between dualities in phase 2 of Figure 1 is implicit in the present curriculum on probability in Japan, and then that a means for leading phase 3 is insufficient.
収録刊行物
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- 数学教育学研究 : 全国数学教育学会誌
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数学教育学研究 : 全国数学教育学会誌 17 (2), 25-33, 2011
全国数学教育学会
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詳細情報 詳細情報について
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- CRID
- 1390845713038924160
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- NII論文ID
- 110009616207
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- NII書誌ID
- AA11141495
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- ISSN
- 24333034
- 13412620
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- NDL書誌ID
- 025342170
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可