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ERIC Number: EJ1099632
Record Type: Journal
Publication Date: 2016
Pages: 21
Abstractor: As Provided
ISSN: EISSN-2147-611X
Using Open-Response Fraction Items to Explore the Relationship between Instructional Modalities and Students' Solution Strategies
Shumway, Jessica F.; Moyer-Packenham, Patricia S.; Baker, Joseph M.; Westenskow, Arla; Anderson-Pence, Katie L.; Tucker, Stephen I.; Boyer-Thurgood, Jennifer; Jordan, Kerry E.
International Journal of Education in Mathematics, Science and Technology, v4 n2 p112-132 2016
The purpose of this study was to explore the relationship between instructional modality used for teaching fractions and third- and fourth-grade students' responses and strategies to open-response fraction items. The participants were 155 third-grade and 200 fourth-grade students from 17 public school classrooms. Students within each class were randomly assigned to two instructional treatment groups: a virtual manipulatives representations (VMR) instruction group and a physical manipulatives and textbook representations (PMTR) instruction group. A conversion mixed methods analysis was used to examine quantitative and qualitative data. The quantitative analysis showed achievement outcomes were the same for both groups. The qualitative analysis revealed shifts in learning that were otherwise hidden with solely quantitative achievement results. Specifically, the results indicated VMR group success in understanding fractions as relationships and PMTR group success in maintaining conceptualization of the whole. Overall, the results of this study corroborate previous research indicating the importance of both types of instructional modalities, showing that virtual manipulatives and physical manipulatives are effective instructional tools with positive effects on student learning. The study expands existing research by offering an opportunity to explore the nuances of students' fractions understanding and provide a window into students' shifts in fraction learning.
International Journal of Education in Mathematics, Science and Technology. Necmettin Erbakan University, Ahmet Kelesoglu Education Faculty, Meram, Konya, 42090, Turkey. Tel: +90-505-490-6703; Fax: +90-332-323-6225; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 3; Primary Education; Elementary Education; Early Childhood Education; Grade 4; Intermediate Grades
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A