ERIC Number: ED389583
Record Type: RIE
Publication Date: 1995-Oct
Reference Count: N/A
Splitting Reexamined: Results from a Three-Year Longitudinal Study of Children in Grades Three to Five.
Confrey, Jere; Scarano, Grace Hotchkiss
This paper is a report on the results of a 3-year teaching experiment conducted in Ithaca, New York, introducing students to the concepts of multiplication, division, and ratio as a trio, and to ratio and proportion in a project-based curriculum with heterogeneous grouping. Fractions were introduced as a subset of ratio and proportion. The paper outlines curricular changes in grades 3-5 and focuses on the major representational forms used by the students including: Venn diagrams, daisy chains, contingency tables, tables of values, dot drawings, two-dimensional graphs, and ratio boxes. Also discussed is the role these tools play in the development of students' understandings of the multiplicative world. Results show that these 10- and 11-year-olds exceeded the comparative performance of 14- and 15-year-olds on ratio and proportion test items. Contains 14 references. (Author/MKR)
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Authoring Institution: N/A
Identifiers: Representations (Mathematics)
Note: Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (17th, Columbus, OH, October 21-24, 1995). For entire conference proceedings, see SE 057 177.