Literaturnachweis - Detailanzeige
Autor/in | Zwanch, Karen |
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Titel | A Preliminary Genetic Decomposition of Probabilistic Independence |
Quelle | In: The Mathematics Educator, 28 (2019) 1, S.3-26 (24 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 1062-9017 |
Schlagwörter | Mathematics Instruction; Probability; Mathematical Concepts; Developmental Stages; Piagetian Theory; Mathematical Logic; Thinking Skills |
Abstract | The purpose of this research is to construct a preliminary genetic decomposition delineating the mental constructions underlying probabilistic independence. This delineation is considered within the framework of APOS theory. While the use of the term independence in probability is often conflated with causation, the definition relies instead upon an understanding of conditional probability. I hypothesize that the concept of independence is only fully available to students by constructing at least an object conception of probability. I offer additional hypotheses, supported by literature and anecdotal teaching experience, regarding students' quantification of probability and construction of combinatorial reasoning. (As Provided). |
Anmerkungen | Mathematics Education Student Association, University of Georgia. 105 Aderhold Hall, Athens, GA 30602. Tel: 706-542-4194; Fax: 706-542-4551; e-mail: mesaprez@gmail.com; Web site: http://tme.journals.libs.uga.edu/index.php/tme/index |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2020/1/01 |