The Development of the Concepts of Ratio and Fraction in the Fourth, Fifth, and Sixth Years of the Elementary School.

Autor/inn/en	Steffe, Leslie P.; Parr, Robert B.
Institution	Wisconsin Univ., Madison. Research and Development Center for Cognitive Learning.
Titel	The Development of the Concepts of Ratio and Fraction in the Fourth, Fifth, and Sixth Years of the Elementary School.
Quelle	(1968), (52 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Arithmetic; Cognitive Development; Concept Formation; Elementary School Mathematics; Grade 4; Grade 5; Grade 6; Mathematical Concepts; Number Concepts; Wisconsin + Suchen Sie Ihr Suchwort? Addition; Arithmetik; Arithmetikunterricht; Rechnen; Kognitive Entwicklung; Concept learning; Begriffsbildung; Elementare Mathematik; Schulmathematik; School year 04; 4. Schuljahr; Schuljahr 04; School year 05; 5. Schuljahr; Schuljahr 05; School year 06; 6. Schuljahr; Schuljahr 06; Number concept; Zahlbegriff
Abstract	Six tests were constructed, four on a pictorial level and two on a symbolic level, to measure the performance of fourth-, fifth-, and sixth-grade children, in three different ability groups, on problems concerning ratios or fractions. Two variables were of interest in the four tests on a pictorial level: (a) "equal" ratio situations vs. "equal" fraction situations, and (b) missing numerator vs. missing denominator. The two levels of the two variables of interest defined the four tests: (1) "equal" ratios with a missing numerator, (2) "equal" ratios with a missing denominator, (3) "equal" fractions with a missing numerator, and (4) "equal" fractions with a missing denominator. All four tests involved reductions. Variable (b) defined the two tests on a symbolic level. Very low correlations between the pictorial and symbolic tests indicated that a different understanding was required for each; the authors suggest a number of steps that may be taken to develop appropriate abilities in children. (GR)
Erfasst von	ERIC (Education Resources Information Center), Washington, DC