Multiple perspectives on the concept of conditional probability
Conditional probability is a key to the subjectivist theory of probability; however, it plays a subsidiary role in the usual conception of probability where its counterpart, namely independence is of basic importance. The paper investigates these concepts from various perspectives in order to shed l...
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| Format: | Article |
| Language: | English |
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Sociedad Española de Investigación en Educación Matemática
2012-11-01
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| Series: | Avances de Investigación en Educación Matemática |
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| Online Access: | https://aiem.es/article/view/3797 |
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| _version_ | 1849313052992733184 |
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| author | Manfred Borovcnik |
| author_facet | Manfred Borovcnik |
| author_sort | Manfred Borovcnik |
| collection | DOAJ |
| description | Conditional probability is a key to the subjectivist theory of probability; however, it plays a subsidiary role in the usual conception of probability where its counterpart, namely independence is of basic importance. The paper investigates these concepts from various perspectives in order to shed light on their multi-faceted character. We will include the mathematical, philosophical, and educational
perspectives. Furthermore, we will inspect conditional probability from the corners of competing ideas and solving strategies. For the comprehension of conditional probability, a wider approach is urgently needed to overcome the well-known problems in learning the concepts, which seem nearly unaffected by teaching.
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| format | Article |
| id | doaj-art-7aa6502ec36a45f29b02bb8b387548b3 |
| institution | Kabale University |
| issn | 2254-4313 |
| language | English |
| publishDate | 2012-11-01 |
| publisher | Sociedad Española de Investigación en Educación Matemática |
| record_format | Article |
| series | Avances de Investigación en Educación Matemática |
| spelling | doaj-art-7aa6502ec36a45f29b02bb8b387548b32025-08-20T03:52:52ZengSociedad Española de Investigación en Educación MatemáticaAvances de Investigación en Educación Matemática2254-43132012-11-01210.35763/aiem.v1i2.32Multiple perspectives on the concept of conditional probabilityManfred Borovcnik0Alps Adria University of KlagenfurtConditional probability is a key to the subjectivist theory of probability; however, it plays a subsidiary role in the usual conception of probability where its counterpart, namely independence is of basic importance. The paper investigates these concepts from various perspectives in order to shed light on their multi-faceted character. We will include the mathematical, philosophical, and educational perspectives. Furthermore, we will inspect conditional probability from the corners of competing ideas and solving strategies. For the comprehension of conditional probability, a wider approach is urgently needed to overcome the well-known problems in learning the concepts, which seem nearly unaffected by teaching. https://aiem.es/article/view/3797Conditional probabilitysubjective probabilityprobabilistic thinkingfallaciesparadoxes in probability |
| spellingShingle | Manfred Borovcnik Multiple perspectives on the concept of conditional probability Avances de Investigación en Educación Matemática Conditional probability subjective probability probabilistic thinking fallacies paradoxes in probability |
| title | Multiple perspectives on the concept of conditional probability |
| title_full | Multiple perspectives on the concept of conditional probability |
| title_fullStr | Multiple perspectives on the concept of conditional probability |
| title_full_unstemmed | Multiple perspectives on the concept of conditional probability |
| title_short | Multiple perspectives on the concept of conditional probability |
| title_sort | multiple perspectives on the concept of conditional probability |
| topic | Conditional probability subjective probability probabilistic thinking fallacies paradoxes in probability |
| url | https://aiem.es/article/view/3797 |
| work_keys_str_mv | AT manfredborovcnik multipleperspectivesontheconceptofconditionalprobability |