Research Base for Universal Screening for Mathematics Difficulties

Cook, C. R., Volpe, R. J., & Livanis, A. (2010). Constructing a roadmap for future universal screening research beyond academics. Assessment for Effective Intervention, 35(4), 197-205.

Duffy, H. (2007). Meeting the Needs of Significantly Struggling Learners in High School: A Look at Approaches to Tiered Intervention. National High School Center.

Fuchs, L. S., Fuchs, D., & Compton, D. L. (2010). Rethinking response to intervention at middle and high school. School Psychology Review, 39(1), 22-28.

Gersten, R., Beckmann, S., Clarke, B., Foegen, A., Marsh, L., Star, J. R., & Witzel, B. (2009). Assisting Students Struggling with Mathematics: Response to Intervention (RtI) for Elementary and Middle Schools. NCEE 2009-4060. What Works Clearinghouse.

Johnson, E. S., & Smith, L. (2008). Implementation of response to intervention at middle school: Challenges and potential benefits. Teaching Exceptional Children, 40(3), 46.

Keller-Margulis, M. A., Shapiro, E. S., & Hintze, J. M. (2008). Long-term diagnostic accuracy of curriculum-based measures in reading and mathematics. School Psychology Review, 37(3), 374.

Lane, K. L., Parks, R. J., Kalberg, J. R., & Carter, E. W. (2007). Systematic Screening at the Middle School Level Score Reliability and Validity of the Student Risk Screening Scale. Journal of Emotional and Behavioral Disorders, 15(4), 209-222.

Lembke, E. S., Hampton, D., & Beyers, S. J. (2012). Response to intervention in mathematics: Critical elements. Psychology in the Schools, 49(3), 257-272.

VanDerHeyden, A. M., & Burns, M. K. (2005). Using curriculum-based assessment and curriculum-based measurement to guide elementary mathematics instruction: Effect on individual and group accountability scores. Assessment for Effective Intervention, 30(3), 15-31.

Research Base for Visual Representations

Gersten, R., Chard, D. J., Jayanthi, M., Baker, S. K., Morphy, P., & Flojo, J. (2009). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79(3), 1202–1242.

Gonsalves, N., & Krawec, J. (2014). Using number lines to solve math word problems: A strategy for students with learning disabilities. Learning Disabilities Research & Practice, 24(4), 160–170.

Research Base for Schema-Based Instruction

Gersten, R., Chard, D. J., Jayanthi, M., Baker, S. K., Morphy, P., & Flojo, J. (2009). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79(3), 1202–1242.

Jitendra, A., Star, J., Starosta, K., Leh, J., Sood, S., Caskie, G., . . . Mack, T. (2009) Improving seventh grade students’ learning of ratio and proportion: The role of schema-based instruction. Contemporary Educational Psychology, 34, 250–264.

Xin, Y. P., Jitentra, A. K., & Deatline-Buchman, A. (2005). Effects of mathematical word problem-solving instruction on middle school students with learning problems. Journal of Special Education, 39(3), 181–192.

Peer Mediated Instruction

Peer-Mediated Instruction to Support Mathematics Achievement

Peer-mediated instruction is an approach that incorporates peer tutoring in the learning process. Peers work together, alternating in the role of tutor or coach. The tutor provides clear and explicit instruction and models, illustrates mathematical processes, and provides corrective feedback. Peer-mediated instruction can be applied to elementary, middle, and high school settings.

Middle School Matters Field Guide: Mathematics and Mathematics Interventions, Principle 5, Practice 1

Resources
Professional Development
Resource Audience About
Power Up What Works: Interacting with Peers

Teachers
Online professional development (PD) module (American Institutes for Research, Education Development Center, and Center for Applied Special Technology)
MathVIDS: Structured Peer Tutoring

Teachers
Online PD module (University of South Florida for the Virginia Department of Education)
Peer Tutoring

Teachers
Online PD module (Council for Learning Disabilities)
Videos
Resource Audience About
Math Homework Review: Peer Teaching

Teachers
Classroom example of how to incorporate peer teaching into homework review (Teaching Channel)
Student-to-Student Assessment

Teachers
Classroom example of peer interactions during homework review (Teaching Channel)
Collaborate to Solve Compound Inequalities

Teachers
Demonstrates peer teaching (Teaching Channel)
Peer-to-Peer Tutoring

Teachers
Demonstrates a strategy for establishing pairs for peer tutoring (Teaching Channel)
Instructional Materials
Resource Audience About
Power Up What Works: Interacting With Peers

Teachers
PDF download (American Institutes for Research, Education Development Center, and Center for Applied Special Technology)
Classwide Peer Tutoring at Work

Teachers
PDF download (TeachingLD.net)