ERIC Number: EJ1225414
Record Type: Journal
Publication Date: 2019
Pages: 24
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1062-9017
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Available Date: N/A
A Preliminary Genetic Decomposition of Probabilistic Independence
Zwanch, Karen
The Mathematics Educator, v28 n1 p3-26 2019
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.
Descriptors: Mathematics Instruction, Probability, Mathematical Concepts, Developmental Stages, Piagetian Theory, Mathematical Logic, Thinking Skills
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
Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
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Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A