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ERIC Number: EJ1355009
Record Type: Journal
Publication Date: 2022-Dec
Pages: 19
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0007-0998
EISSN: EISSN-2044-8279
Fraction Mapping and Fraction Comparison Skills among Grade 4 Chinese Students: An Error Analysis
Di Lonardo Burr, Sabrina M.; Xu, Chang; Li, Hongxia; Si, Jiwei; LeFevre, Jo-Anne; Wang, Yangyang
British Journal of Educational Psychology, v92 n4 p1335-1353 Dec 2022
Background: Mapping fraction symbols to magnitudes is easier for students to master than comparing fraction magnitudes. Fraction mapping assesses students' understanding of part-whole interpretations of fractions; fractions represent the parts of an object or set of objects. Fraction comparison assesses students' understanding of measurement interpretations of fractions; a fraction is a single numerical quantity, not a combination of two whole numbers. Aim: To examine and compare the types of errors made by emergent fraction learners on fraction mapping and comparison tasks. Sample Grade 4 Chinese students (N = 1036; 577 boys; M[subscript age] = 9.9 years). Method: We examined performance and identified errors on fraction mapping and comparison tasks. For mapping, students converted pictorial representations into fraction notation. For comparison, they chose the larger of two symbolic fractions. Results: Consistent with curriculum expectations, most students successfully mapped pictorial representations to fraction notation. In contrast, few students were able to accurately compare fraction magnitudes. Within each task, students' errors were consistent across trials, suggesting that they applied systematic but incorrect procedures. However, errors were not consistent between tasks and the correlation between mapping and comparison performance was weak. Conclusion: Emergent fraction learners can acquire part-whole knowledge of fractions without acquiring measurement interpretations of fractions. Moreover, misconceptions about different interpretations of fractions need not overlap. Awareness of the types of errors that students make can assist educators in identifying misconceptions early so that students do not build their fraction knowledge on erroneous beliefs.
Wiley. Available from: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030. Tel: 800-835-6770; e-mail: cs-journals@wiley.com; Web site: https://bibliotheek.ehb.be:2191/en-us
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 4; Intermediate Grades
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: China
Grant or Contract Numbers: N/A