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ERIC Number: EJ1299572
Record Type: Journal
Publication Date: 2021-Jun
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1863-9690
EISSN: N/A
School Students' Preparation for Calculus in the United States
Frank, Kristin; Thompson, Patrick W.
ZDM: Mathematics Education, v53 n3 p549-562 Jun 2021
Researchers have been interested in students' transition to calculus since the early 1900s. One line of inquiry highlights students' understandings of high school mathematics as impeding or supporting their successful transition to university mathematics. This paper addresses an underlying question in this line of inquiry: does school mathematics provide opportunities for students to develop productive meanings for calculus? This article reports on U.S. calculus students' responses to items that assessed students' variational reasoning, meanings for average rate of change, and representational use of notation--ideas ostensibly addressed in school mathematics. To make sense of students' difficulty on these items we sought to understand the opportunities students had to reason with these ideas prior to calculus. We use two data sources to understand the likelihood that students have opportunities to construct productive meanings for function notation, variation, and average rate of change in their secondary mathematics education: meanings for these ideas supported by precalculus textbooks and meanings secondary teachers demonstrated. Our analysis revealed a disconnect between meanings productive for learning calculus and the meanings conveyed by textbooks and held by U.S. high school teachers. We include a comparison of meanings held by U.S. and Korean teachers to highlight that these meanings are culturally embedded in the U.S. educational system.
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://bibliotheek.ehb.be:2123/
Publication Type: Journal Articles; Reports - Research
Education Level: High Schools; Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF); Institute of Education Sciences (ED)
Authoring Institution: N/A
Identifiers - Location: United States; South Korea
IES Funded: Yes
Grant or Contract Numbers: MSP1050595; DUE1625678; R305A160300