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Mathematical problem posing as a measure of curricular effect on students' learning
Authors:Jinfa Cai  John C. Moyer  Ning Wang  Stephen Hwang  Bikai Nie  Tammy Garber
Affiliation:1. University of Delaware, 523 Ewing Hall, Newark, DE, 19716, USA
2. Marquette University, Milwaukee, WI, USA
3. Widener University, Chester, PA, USA
Abstract:In this study, we used problem posing as a measure of the effect of middle-school curriculum on students' learning in high school. Students who had used a standards-based curriculum in middle school performed equally well or better in high school than students who had used more traditional curricula. The findings from this study not only show evidence of strengths one might expect of students who used the standards-based reform curriculum but also bolster the feasibility and validity of problem posing as a measure of curriculum effect on student learning. In addition, the findings of this study demonstrate the usefulness of employing a qualitative rubric to assess different characteristics of students' responses to the posing tasks. Instructional and methodological implications of this study, as well as future directions for research, are discussed.
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