ERIC Number: EJ1388520
Record Type: Journal
Publication Date: 2023
Pages: 24
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1570-1824
EISSN: EISSN-1570-1824
Student-Generated Connections in Learning about Compound Probability and Their Emergence during Instruction
Groth, Randall; Rickards, Megan; Roehm, Elizabeth
Statistics Education Research Journal, v22 n1 Article 5 2023
In this report, we analyze students' learning of compound probability by describing connections they generated while engaged with tasks involving two independent events. Several of their connections were compatible with the development of expertise, such as recognizing the need to determine sample spaces across a variety of situations and noting structural similarities among tasks, even when their task solutions were incomplete from a normative standpoint. Students reasoned about dimensions of context, variation, mathematical structure, sample space, and probability quantification. We describe the extent to which they coordinated these dimensions. We also describe teaching moves, such as posing idealized situations and shifting to structurally similar tasks, that prompted students to attend to multiple relevant task dimensions.
Descriptors: Statistics Education, Probability, Concept Formation, Sampling, Mathematics Instruction, Elementary School Students
International Association for Statistical Education and the International Statistical Institute. PO Box 24070, 2490 AB The Hague, The Netherlands. Tel: +31-70-3375737; Fax: +31-70-3860025; e-mail: isi@cbs.nl; Web site: https://iase-web.org/ojs/SERJ
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: DUE1658968