How does understanding fractions support algebra knowledge, and vice versa?
How does understanding fractions support algebra knowledge, and vice versa?
Mathematical understanding is critical for many life outcomes, from high school graduation to college access to career and economic prospects. Fractions and algebra are two domains of mathematics shown to be particularly important yet particularly difficult for students. Furthermore, researchers have found that success with fractions and algebra are closely related.
Our study will investigate relationships between these two areas of mathematics in 7th–9th grade students. Gaining greater insight into the factors that underpin fractions and algebra knowledge and how the two are related is critical to ultimately improving instruction and helping more students be successful.
Our Research

Algebra Knowledge
Algebra knowledge has been shown to be linked to other important life outcomes. It is often termed the “gatekeeper” to success.

Fraction Knowledge
Fraction knowledge is seen as a “key” to this gate, with fraction knowledge predicting algebra performance.

Interdisciplinary Approach
Our project brings together two strands of research to uncover the important links between fractions and algebra.
Looking to participate?
Data collection for Phase 1 has concluded.
Phase 2 data collection will begin in August 2025.
Students entering 6th grade who are located in the United States are invited to participate!
For more information, follow us on social media!

Phase 1 Data Collection
This spring, we completed collecting data with 7th-, 8th-, and 9th-graders in the cross-sectional phase of our study. This fall, we will begin data collection with 6th-graders in the longitudinal phase of our study. For more information on phase 1 and phase 2 of our study, see the “About” page.
Publications and Presentations
New Journal Article: “Unpacking the Connections Between Fractions and Algebra: The Importance of Fraction Schemes and Units Coordination”
January 31, 2024