Response to Intervention and Math Instruction

Berch, D.B. (Ed.). (1998, April). Mathematical cognition: From numerical thinking to mathematics education.
Conference presented by the National Institute of Child Health and Human Development, Bethesda,
MD.
Berch, D. B. (2005). Making sense of number sense: Implications for children with mathematical disabilities.
Journal of Learning Disabilities, 38, 333 – 339.
Bryant, D.P., Bryant, B.R., Gersten, R., Scammacca, N., & Chavez, M.M. (2008) Mathematics interventions for
first-and-second-grade students with mathematics difficulties. Remedial and Special Education, 29, 20-
32.
Case, L. P., Harris, K. R., & Graham, S. (1992). Improving the mathematical problem solving skills of students
with learning disabilities: Self regulated strategy development. The Journal of Special Education, 26,
1-19.
Cassel, J., & Reid, R. (1996). Use of self-regulated strategy intervention to improve word problem solving skills
of student with mild disabilities. Journal of Behavioral Education, 6, 153-172.
Clarke, B., & Shinn, M. (2004). A preliminary investigation into the identification and development of early
mathematics curriculum-based measurement. School Psychology Review, 33, 234–248.
Denton, C., Vaughn, S., & Fletcher, J. (2003). Bringing research-based practice in reading intervention to scale.
Learning Disabilities Research and Practice, 18, 201-211.
Dev, P. C, Doyle, B., A. & Valente, B. (2002). Labels needn't stick: "At-risk" first graders rescued with
appropriate intervention. Journal of Education for Students Placed At Risk, 7, 327-332.
Flores, M. (2009). Teaching subtraction with regrouping to students experiencing difficulty in mathematics.
Preventing School Failure, 53, 145-152.
Flores, M. M. (2010). Using the concrete-representational-abstract sequence to teacher subtraction with
regrouping to students at risk for failure. Remedial and Special Education, 31(3), 195–207.200 Hinton, Flores, & Shippen
Fuchs, L., S. (2003). Assessing intervention responsiveness: conceptual and technical issues. Learning
Disabilities Research and Practice , 18, 172-183.
Fuchs, L. S., Compton, D. L., Fuchs, D., Paulsen, K., Bryant, J.D.,& Hamlett, C. L. (2005). The prevention,
identification, and cognitive determinants of math difficulty. Journal of Educational Psychology, 97,
493–513.
Fuchs, L. S., Fuchs, D., & Hollenbeck, K. N. (2007). Extending responsiveness to intervention to mathematics
to first and third grades. Learning disabilities Research & Practice, 22, 13-24.
Fuchs, L. S., Hamlett, C. L., & Powell, S. R. (2003). Fact fluency assessment. (Available from L. S. Fuchs, 328
Peabody, Vanderbilt University, Nashville, TN 37203).
Gersten, R., & Chard, D. (1999). Number sense: rethinking arithmetic instruction for students with
mathematical disabilities. Journal of Special Education, 33, 18-28.
Gersten, R., Beckmann, S., Clarke, B., Marsh, L., Star, J. R., & Witzel, B. (2009). Assisting students struggling
with mathematics: Response to intervention (RtI) for elementary and middle schools. U.S Department
of Education.
Griffin, S. A., Case, R., & Siegler, R. S. (1994). Rightstart: Providing the central conceptual prerequisities for
first formal learning of arithmetic to students at risk for school failure.In K. McGilly (Ed.), Classroom
lessons: Integrating cognitive theory and classroom practice (pp. 25-49). Cambridge, MA: MIT Press.
Harris, C. A., Miller, S. P., & Mercer, C. D. (1995). The initial multiplication skills to students with disabilities
in general education classrooms. Learning Disabilities Research & Practice, 10(3), 180–195.
Harris-Murri, N., King, K., & Rostenburg, D. (2006). Reducing disproportionate minority respresentation in
special education programs for students with emotional disturbances: toward a culturally responsive
response to intervention model. Education and Treatment of Children , 29, 779-799.
Ho, C. S., & Cheng, F. S. (1997). Training in place-value concepts improves children’s addition skills.
Contemporary Educational Psychology, 22, 495-506.
Hoover, J., J., & Patton, J., R. (2008). The role of special educators in a multitiered instructional system.
Intervention in School & Clinic, 43, 195-203.
Janssen, F. J., G., Bokhove, J., & Kraemer, J. M. (1992). Leerlingvolgsysteem: Rekentoets medio groep 3
(Student monitoring system: Mathematics 1 for grade 3). Arnhem, The Netherlands: Cito.
Jitendra, A. K., Griffin, C. C., McGoey, K., Gardill, M.C., Bhat, P., & Riley, T. (1998). Effects of mathematical
word problem solving by students at risk or with mild disabilities. Journal of Educational Research,
91, 345-355.
Jitendra, A. K., & Hoff, K. (1996). The effects of schema-based instruction on the mathematical word-problem
solving performance of students with learning disabilities. Journal of Learning Disabilities, 29, 422-
431.
Jordan, N. C., Hanich, L. B., & Kaplan, D. (2003). Arithmetic fact mastery in young children: A longitudinal
investigation. Journal of Experimental Child Psychology, 85, 103–119.
Jordan, N. C., Kaplan, D., Oláh, L. N., & Locuniak, M. N. (2006). Number sense growth in kindergarten: A
longitudinal investigation of children at risk for mathematics difficulties. Child Development, 77, 153–
175.
Jordan, N. C., Kaplan, D., Locuniak, M. N., & Ramineni, C. (2007). Predicting first-grade math achievement
from developmental number sense trajectories. Learning Disabilities Research & Practice, 22, 36–46.
Kaffar, B. J., & Miller, S. P. (2011). Investigating the effects of the RENAME Strategy for developing
subtraction with regrouping competence among third-grade students with mathematics difficulties.
Investigations in Math Learning.
Kratochwill, T., Volpiansky, P., Clements, M., & Ball, C. (2007). Professional development in implementing
and sustaining multitier prevention models: implications for response to intervention. School Psychology
Review, 36, 618-631.
Madden, R., Gardner, E.F., & Collins, C. S. (1982). Stanford early school achievement test. San Antonio, TX:
Psychological Corp.
Marshall, S. P. (1990), The assessment of schema knowledge for arithmetic story problems: A cognitive science
perspective. In G. Kulm (Ed.), Assessing higher order thinking in mathematics. Washington, DC:
American Association for the Advancement of Science.
Marshall, S. P. (1993), Assessing schema knowledge. In N. Frederikson, R, Mislevy, & I. Bejar (Eds.), Test
theory for a new generation of tests (pp. 155-180). Hillsdale, NJ: Erlbaum.
Mazzocco, M. M., & Thomspon, R. E. (2005). Kindergarten predictors of math learning disability. Learning
Disabilities Research & Practice, 20, 142–155.
Mercer, C.D., Jordan, L., & Miller, S.P. (1996). Constructivistic math instruction for diverse learners. Learning
Disabilities Research and Practice, 11, 147-156.
Mercer, C. D., & Miller, S. P. (1992). Teaching students with learning problems in math to acquire, understand,
and apply basic math facts. Remedial and Special Education, 13, 19-35.IJEMST (International Journal of Education in Mathematics, Science and Technology) 201
Milgram, R. J., & Wu, H. S. (2005). The key topics in a successful math curriculum. Retrieved February 11,
2010, from http://math.berkeley.edu/~wu/
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics.
Reston, VA: Author.
National Council of Teachers of Mathematics (2006). Curriculum focal points for prekindergarten through
grade 8 mathematics: A quest for coherence. Reston, VA: Author.
National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the national
mathematics advisory panel. Washington, DC: U.S. Department of Education.
Otis, A. S., & Lennon, R. T. (1989). Otis-Lennon School Ability Test (6th ed., OLSAT). San Antonio, TX:
Psychological Corp.
Pasnak, R., Hansbarger, A., Dodson, S. L., Hart, J. B., & Blaha, J. (1996). Differential results of instruction of
the preoperational/concrete operational transition. Psychology in the Schools, 33, 70-83.
Pasnak, R., Holt, R., Campbell, J. W., & McCutcheon, L. (1991). Cognitive and achievement gains for
kindergarteners instructed in Piagetian operations. Journal of Educational Research, 85, 5-13.
Pickering, S., & Gathercole, S. (2001). Working Memory Test Battery for Children. London: The Psychological
Corporation.
Riley, M. S., Greeno, J.G., & Heller, J.I. (1983). Development of children's problem solving ability in
arithmetic. In H. P. Ginsburg (Ed.), The development of mathematical thinking (pp. 153-196). New
York: Academic Press.
Scott, K. S. (1993). Multisensory mathematics for children with mild disabilities. Exceptionality, 4, 97–111.
Silbert, J., Carnine, D., & Stein, M. (1990). Direct instruction mathematics. Columbus, OH: Merrill.
Sinclair, A., Carin, A., & Tieche-Christinat, C. (1992). Constructing and understanding of place value in
numerical notation. European Journal of Psychology of Education, 7, 191–207.
State Education Research Center. (n.d.). Scientific research-based intsruction and evidence based paractices.
Retrieved March 19, 2009 from http://www.ctserc.org/rti/rationale/sciencebased.shtml
Van de Rijt, B.A.M., & Van Luit, J.E.H. (1994). The results of different treatments on children’s weak
performances in preparatory and initial arithmetic. In J.,E.,H., Van Luit, ed., Research on
Learning and Instruction of Mathematics in Kindergarten and Primary School. Doetinchem/Rapallo:
Graviant Publishing Company.
Van de Rijt, B. A. M., & Van Luit, J. E. H. (1998). Effectiveness of the Additional Early Mathematics program
for teaching children early mathematics. Instructional Science, 26, 337-358.
Van Luit, J. E. H., Van de Rijt, B. A. M., & Pennings, A. H. (1994). Utrechtse Getalbegrip Toets (Utrecht Test
of Number Sense). Doetinchem, The Netherlands: Graviant.[
Van Luit, J. E. H., & Schopman, E. A. M. (2000). Improving early numeracy of young children with special
education needs. Remedial and Special Education, 21, 27-40.
Van Luit, J. E. H., & Schopman, E. A. M. (1998). Als special kleuter tel je ook mee! Voobereidende
rekenactiviteiten voor kleuters met een ontwlkkelingsachterstand (Young children with special needs
count too! Early math mathematics activities for young children with special educational needs.)
Doetinchem, The Netherlands: Graviant.
Vaughn, S., & Fuchs, L. (2003). Redefining learning disabilities as inadequate response to instruction. The
promise and potential problems. Learning Disabilities Research and Practice , 18, 137-146.
Vaughn, S., Linan-Thompson, S., & Hickman (2003). Response to instruction as a means of identifying students
with learning/reading disabilities. Exceptional Children, 69, 391-409.
Wilkinson, G. S., Stone, M. H., & Jastak, S. (1995). Wide Range Achievement Test- 3. Delaware: Wide Range.
Wilson, C. L., & Sindelar, P. T. (1991). Direct instruction in math word problems: Students with learning
disabilities. Exceptional Children, 57, 512-519.