Fraction Mapping and Fraction Comparison Skills among Grade 4 Chinese Students: An Error Analysis

Autor/inn/en	Di Lonardo Burr, Sabrina M.; Xu, Chang; Li, Hongxia; Si, Jiwei; LeFevre, Jo-Anne; Wang, Yangyang
Titel	Fraction Mapping and Fraction Comparison Skills among Grade 4 Chinese Students: An Error Analysis
Quelle	In: British Journal of Educational Psychology, 92 (2022) 4, S.1335-1353 (19 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Di Lonardo Burr, Sabrina M.) ORCID (Xu, Chang) ORCID (Li, Hongxia) ORCID (Si, Jiwei) ORCID (LeFevre, Jo-Anne) ORCID (Wang, Yangyang)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0007-0998
DOI	10.1111/bjep.12503
Schlagwörter	Fractions; Mathematics Skills; Elementary School Students; Grade 4; Foreign Countries; Pictorial Stimuli; Error Patterns; Task Analysis; Misconceptions; China + Suchen Sie Ihr Suchwort? Bruchrechnung; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; School year 04; 4. Schuljahr; Schuljahr 04; Ausland; Fantasieanregung; Fehlertyp; Aufgabenanalyse; Missverständnis
Abstract	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. (As Provided).
Anmerkungen	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://www.wiley.com/en-us
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01