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ERIC Number: EJ1359494
Record Type: Journal
Publication Date: 2022-Sep
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1492-6156
EISSN: EISSN-1942-4051
Available Date: N/A
A Consideration of Alternative Sample Spaces Used in Coin-Toss Problems
Renelle, Amy; Budgett, Stephanie; Jones, Rhys
Canadian Journal of Science, Mathematics and Technology Education, v22 n3 p617-630 Sep 2022
This paper examines coin-toss comparison questions from two recent studies involving undergraduate students and high school teachers and connects to findings from two prior studies in the literature. Considering possible sample spaces employed by participants, this is a reflection on whether one sequence could be more likely depending on the interpretation of the question. To critique the choice of sequences and determine possible scenarios in which one sequence may be more likely than the other, three alternative sample spaces were explored. It was determined that different sample spaces can lead to one sequence being more likely to occur than the other. Further evaluation discusses whether alternative sample spaces may have been utilised by the participants in each of the studies, and hence, the paper concludes with an advocacy to enquire deeper into participants' reasoning when investigating coin-toss questions.
Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link-springer-com.bibliotheek.ehb.be/
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education; High Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A