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Christina Barbieri

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Associate Professor

University of Delaware
Country flagUnited States

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Opening the door to Algebra: Does improving fraction knowledge impact algebra learning?

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Articles (10)

Year:

2026

Year:

2026

Year:

2026

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2026

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2026

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2025

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2025

Year:

2023

Background Providing students with worked out problem solutions is a beneficial instructional technique in STEM disciplines, and studying examples that have been worked out incorrectly may be especially helpful for reducing misconceptions in students with low prior content knowledge. However, past results are inconclusive and the effects of incorrect worked examples alone or in combination with correct examples remains unclear. Objectives We aim to address whether studying incorrect examples alone or in combination with correct examples can support the reduction of students' fraction misconceptions, operationalized as errors made with high confidence. Methods After incorrectly solving a sampling problem, 130 students in 4th through 11th grade in the U.S. were randomly assigned to a condition in an online problem set focused on fraction equivalence. Students studied either single‐type worked examples (i.e., correct or incorrect; n = 49) or combination‐type worked examples (correct and incorrect; n = 41) or engaged in a problem‐solving control ( n = 50). Results Studying a combination of correct and incorrect worked examples was as effective as the problem‐solving control with feedback at improving fraction equivalence knowledge and reducing the rate of high‐confidence errors. Students in both the combination condition and the problem‐solving with feedback condition outperformed those who studied either correct or incorrect worked examples alone. Conclusions Results support the inclusion of a combination of correct and incorrect worked examples when teaching students with low prior content knowledge. Studying a combination of example types within an online tutor helps to reduce misconceptions about fractions, a topic students commonly struggle with. A problem‐solving task with corrective feedback worked equally well.

Year:

2023

Year:

2022

Collaborators (7)

Kamal Chawla

Assistant Professor of Education and Applied Quantitative Methods

University of Maine

UNITED STATES
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Ilyse Resnick

University of Canberra

AUSTRALIA
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Brianna L. Devlin

Assistant Professor

University at Buffalo

UNITED STATES
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Jessica Rodrigues

Assistant Professor

University of North Carolina at Chapel Hill

UNITED STATES
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Xiao‐Yin Chen

Assistant Professor

University of Tennessee

UNITED STATES
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Alexandria Viegut

Assistant Professor

University of Wisconsin-Eau Claire

UNITED STATES
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Dana Miller-Cotto

Assistant Professor

University of California, Berkeley

UNITED STATES
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