Project Activities
Focused program of research
Key outcomes
People and institutions involved
IES program contact(s)
Products and publications
ERIC Citations: Find available citations in ERIC for this award here.
Publicly Available Data: For data-sharing agreement and procedures, contact doug.fuchs@vanderbilt.edu or lynn.fuchs@vanderbilt.edu.
WWC Review: https://ies.ed.gov/ncee/wwc/Study/89198
Project Website: https://frg.vkcsites.org/
Select Publications:
Book chapter
Fuchs, D., Patton, S. III, Fuchs, L.S., Gilbert, J. K., Walsh, M., Lute, N., Haga, L., Peng, P., & Elleman, A. (2019). Combining reading comprehension instruction with cognitive training to provide intensive instruction to at-risk students (pp. 198-217). In P.C. Pullen & M.J. Kennedy (Eds.), Handbook of response to intervention and multi-tiered systems of support. New York: Routledge.
Journal articles
Clemens, N. H., & Fuchs, D. (2022). Commercially developed tests of reading comprehension: Gold standard or fool's gold? Reading Research Quarterly, 57, 385-397
Foreman-Murray, L., & Fuchs, L. S. (2019). Quality of explanation as an indicator of fraction magnitude understanding. Journal of Learning Disabilities, 52, 181-191.
Fuchs, D., & Fuchs, L. S. (2015). Rethinking service delivery for children with significant learning problems: Developing and implementing intensive instruction. Remedial and Special Education, 36, 105-111.
Fuchs, D., & Fuchs, L. S. (2016). Responsiveness-to-intervention: A "systems" approach to adaptive instruction. Adaptive teaching: Theoretical implications for practice. Special issue of Theory into Practice, 55, 225-233.
Fuchs, D., & Fuchs, L. S. (2019). On the importance of moderator analysis in intervention research: An introduction to the special issue. Exceptional Children, 85, 126-128.
Fuchs, D., Fuchs, L. S., & Vaughn, S. (2014). What is intensive intervention and why is it important? Teaching Exceptional Children, 46(4), 13-18.
Fuchs, D., Hendricks, E., Walsh, M. E., Fuchs, L. S., Gilbert, J. K., Tracy, W. Z., Patton, S., Davis, N., Kim, W., Elleman, A. M., & Peng, P. (2018). Evaluating a multidimensional reading comprehension program and reconsidering the lowly reputation of tests of near transfer. Learning Disabilities Research and Practice, 33, 11-23.
Fuchs, D., Kearns, D. M., Fuchs, L.S., Elleman, A.M., Gilbert, J. K., Patton, S., Peng, P., & Compton, D. L. (2019). Using moderator analysis to identify the first-grade children who benefit more and less from a reading comprehension program: A step towards aptitude-by-treatment interaction. Exceptional Children, 85, 229-247.
Fuchs, L. S., Fuchs, D., & Gilbert, J.K. (2019). Does the severity of students' pre-intervention math deficits affect responsiveness to generally effective first-grade intervention? Exceptional Children, 85, 147-162.
Fuchs, L. S., Fuchs, D., & Malone, A. (2017). The taxonomy of intervention intensity. TEACHING Exceptional Children, 50(1), 35-43.
Fuchs, L.S., & Malone, A.S. (2021). Can teaching fractions improve teachers' fraction understanding? Insights from a causal-comparative study. The Elementary School Journal, 121, 656-673.
Fuchs, L. S., Wang, A., Y., Preacher, K. J., Malone, A. S., Fuchs, D., & Pachmayr, R. (2021). Addressing challenging mathematics standards with at-risk learners: A randomized controlled trial on the effects of fractions intervention at third grade. Exceptional Children, 87, 163-182.
Hendricks, E. L., & Fuchs, D. (2020). Are individual differences in response to intervention influenced by the methods and measures used to define response? Implications for identifying children with learning disabilities. Journal of Learning Disabilities, 53(6), 428-443.
Krowka, S. K., & Fuchs, L. S. (2017). Cognitive profiles associated with responsiveness to fraction intervention. Learning Disabilities Research and Practice, 32, 216-230.
Malone, A. S., & Fuchs, L. S. (2017). Error patterns in ordering fractions among at-risk fourth-grade students. Journal of Learning Disabilities, 50(3), 337-352.
Malone, A.S., Fuchs, L.S., Sterba, S. K., Fuchs, D., & Foreman-Murray, L. (2019). Does an integrated focus on fractions and decimals improve at-risk students' rational number magnitude performance? Contemporary Educational Psychology, 59, 101782.
Malone, A., Loehr, A., & Fuchs, L. S. (2017). The role of domain-general cognitive abilities and decimal labels in at-risk fourth-grade students' decimal magnitude understanding. Learning and Individual Differences, 58, 90-96.
Namkung, J., & Fuchs, L. S. (2019). Remediating difficulty with fractions for students with mathematics learning difficulties. Learning Disabilities: A Multidisciplinary Journal, 24 (2), 36-48.
Namkung, J. M., Fuchs, L. S., & Koziol, N. (2018). Does initial learning about the meaning of fractions challenging for students with adequate whole-number skill? Learning and Individual Differences, 61, 151-157.
Patton, S.A., Fuchs, D., Hendricks, E.L., Pennell, A.J., Walsh, M.E., Fuchs, L.S., Tracy, W.Z., & Haga, L.Y. (2022). An experimental study to strengthen students' comprehension of informational texts: Is teaching for transfer important? Learning Disabilities Research and Practice, 37, 124-139.
Peng, P., & Fuchs, D. (2014). A meta-analysis of working memory deficits in children with learning difficulties: Is there a difference between verbal and numerical domains. Journal of Learning Disabilities, 49, 3-20.
Preacher, K., & Sterba, S. (2019). Aptitude × treatment interactions in research on educational interventions. Exceptional Children, 85, 248-264.
Wang, A. Y., Fuchs, L. S., Fuchs, D., Gilbert, J. K., Krowka, S., & Abramson, R. (2019). Embedding self-regulation instruction within fractions intervention for third graders with mathematics difficulties. Journal of Learning Disabilities, 52, 337-348.
Project website:
Supplemental information
Co-Principal Investigators: Fuchs, Lynn; Preacher, Kristopher
IES Program Contact: Sarah Brasiel (Sarah.Brasiel@ed.gov)
Long-Term Follow-Up Award: 2 Years (FY 2020–FY 2021), $748,548
Projects: The Center's primary research included the development of math and reading interventions and the evaluation of the efficacy of the interventions and their components.
Development Studies (Years 1–3)
The base reading and math programs, consisted of multiple evidence-based components, developed iteratively across Years 1–3. During this period, a series of developmental pilot studies were conducted. Each study assessed the relative promise of two active intervention conditions against each other and a business-as-usual condition. In reading, the major focal points of the developmental pilot studies included inferencing embedded working memory training, embedded language (morphology) instruction, and explicit transfer instruction. In math, the major focal points of the developmental pilot studies included decimals, explicit transfer instruction, embedded language instruction, embedded executive function training, and calculations. In both academic domains, the team also developed or adapted proximal and transfer measures and created fidelity and teacher training tools.
In Years 4 and 5, the research team conducted randomized controlled trials to contrast the refined components against each other and against a business-as-usual condition. In reading, the efficacy studies isolated the effects of explicit transfer instruction, embedded working memory training, and a simplified set of components. In math, the efficacy studies isolated the effects of embedded executive functioning instruction, embedded language instruction, error analysis, and interleaved calculations practice. The reading and math interventions at grade 3 and at grades 4–5 in reading and math were finalized based on results from these studies.
To examine longer-term impacts of the grades 4–5 math intervention developed through this grant, the research team received $748,548 in additional funding to collect follow-up data on students in grade 5 (for those who received intervention in grade 4) and on students in grade 6 (for those who received intervention in grade 5). The follow-up study's purpose was to measure the longer-term impact of the intervention on fraction magnitude and fraction calculations, two of the three central focal points of the math intervention. Outcome data from the Fraction Battery 2018 Revised assessment (ordering, equivalencies, calculations) as well as the Number Line Estimation task, all of which were collected at posttest in the intervention year, were collected at follow up. Multilevel regression models were applied to the follow-up outcomes, contrasting intervention and control group students. The research team tested whether the effect of the intervention was moderated by one or more of the pretest measures collected in the fall of the intervention year, including students' whole-number skill, fraction performance, language comprehension, reasoning, processing speed, and working memory.
- At grades 4 and 5, the next-generation A3 intervention, called Reading PI,was found to improve performance on measures of informational text reading comprehension for students identified with or at risk for reading learning disabilities. The Reading PI program has also been shown to help students transfer their reading comprehension skills from texts used for instruction to unrelated non-fiction texts, with implications for measuring student RC outcomes across a range of near- and far-transfer measures.
- At grade 3, Reading PI did not lead to significant improvement in informational text reading comprehension for students identified with or at risk for reading learning disabilities. This echoes the reading comprehension literature, which suggests that intervention targeting reading comprehension at third grade is particularly challenging and there is a need for additional research at third grade.
- At grades 4 and 5, the next-generation A3 math intervention, called Super Solvers, was found to improve measures of fraction performance for students identified with or at risk for mathematics learning disabilities.
- At grade 3, Super Solvers led to improved fraction performance for students identified with or at risk for mathematics learning disabilities.
Questions about this project?
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