Effects of blended instructional models on math performance

Exceptional Children

Volumn 80, Issue 4, 2014, Pages 423-437

  Bottge, Brian A ^a   Ma, Xin ^a   Gassaway, Linda ^a   Toland, Michael D ^a   Butler, Mark ^a   Cho, Sun Joo ^b  

^a UNIVERSITY OF KENTUCKY   (United States)

^b VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84903456095     PISSN: 00144029     EISSN: None     Source Type: Journal    
DOI: 10.1177/0014402914527240     Document Type: Article

References (44)

1. Baroody, A. J., Feil, Y., & Johnson, A. R. (2007). An alternative reconceptualization of procedural and conceptual knowledge. Journal for Research in Mathematics Education, 38, 115-131.
2. Bottge, B. A. (2001). Reconceptualizing math problem solving for low-achieving students. Remedial and Special Education, 22, 102-112. doi:10.1177/074193250102200505
3. Bottge, B. A., Rueda, E., Grant, T. S., Stephens, A. C, & LaRoque, P. T. (2010). Anchoring problem-solving and computation instruction in context-rich learning environments. Exceptional Children, 76, 417-437.
4. Bottge, B. A., Rueda, E., Kwon, J. M., Grant, T., & LaRoque, P. (2009). Assessing and tracking students' problem solving performances in anchored learning environments. Education Technology Research & Development, 57, 529-552. doi:10.1007/511423-007-9069-y
5. Briars, D., Asturias, H., Foster, D., & Gale, M. (2012). Common Core Mathematics in a PLC at Work, Grades 6-8. Reston, VA: National Council of Teachers of Mathematics.
6. Brookings Institution. (2004). The 2004 Brown Center Report on American Education: How well are American Students Learning? Washington, DC: Author. Retrieved from http://www.brookings.edu/reports/2004/11education-loveless.aspx
7. Bruner, J. S. (1960). The process of education. New York, NY: Random House.
8. Butler, F. M., Miller, S. P., Crehan, K., Babbitt, B., & Pierce, T. (2003). Fraction instruction for students with mathematics disabilities: Comparing two teaching sequences. Learning Disabilities Research & Practice, 18, 99-111. doi:10.1111/1540-5826.00066
9. Chandler, P., & Sweller, J. (1991). Cognitive load theory and the format of instruction. Cognition and Instruction, 8, 293-332. doi:10.1207/s1532690xci0804-2
10. Cho, S.-J., Bottge, B. A., Cohen, A. S., & Kim, S.-H. (2011). Detecting cognitive change in the math skills of low-achieving adolescents. Journal of Special Education, 45, 67-76. doi:10.1177/0022466909351579
11. Cognition and Technology Group at Vanderbilt. (1997). The Jasper Project: Lessons in curriculum, instruction, assessment, and professional development. Mahwah, NJ: Erlbaum.
12. Dewey, J. (1938). Experience and education. New York, NY: Macmillan.
13. Gallico, R., Burns, T. J., & Grob, C. S. (1991). Emotional and behavioral problems in children with learning disabilities. San Diego, CA: Singular.
14. Gaur, A. S., & Gaur, S. S. (2006). Statistical methods for practice and research: A guide to data analysis using SPSS. Thousand Oaks, CA: SAGE.
15. Geary, D. C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37, 4-15. doi:10.11 77/00222194040370010201
16. 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, 1202-1242. doi:10.3102/0034654309334431
17. Gijbels, D., Dochy, F., Van den Bossche, P., & Segers, M. (2005). Effects of problem-based learning: A meta-analysis from the angle of assessment. Review of Educational Research, 75, 27-61. doi:10.3102/00346543075001027
18. Gillespie, J., & Kanter, P. F. (2000). Every day counts calendar math. Wilmington, MA: Great Source Education.
19. Kauffman, J. M. (2001). Characteristics of emotional and behavioral disorders of children and youth (7th ed.). Upper Saddle River, NJ: Merrill, Prentice-Hall.
20. Knopik, V. S., Alarcón, M., & DeFries, J. C. (1997). Comorbidity of mathematics and reading deficits: Evidence for a genetic etiology. Behavior Genetics, 27, 447-453. doi:10.1023/A:1025622400239
21. Lave, J. (1993). Word problems: A microcosm of theories of learning. In P. Light & G. Butterworth (Eds.), Context and cognition: Ways of learning and knowing (pp. 74-92). Mahwah, NJ: Erlbaum.
22. Learning and Technology Center at Vanderbilt University. (1997). The new adventures of Jasper Woodbury. Mahwah, NJ: Erlbaum.
23. Misquitta, R. (2011). A review of the literature: Fraction instruction for struggling learners in mathematics. Learning Disabilities Research & Practice, 26, 109-119. doi:10.1111/j.1540-5826.2011.00330.x
24. Montague, M., Bos, C., & Doucette, M. (1991). Affective, cognitive, and metacognitive attributes of eighth-grade mathematical problem solvers. Learning Disabilities Research & Practice, 6, 145-151.
25. National Center for Education Statistics. (2011). The Nation's Report Card Mathematics 2011 (NCES 2012-458). Washington, DC: Institute of Education Sciences, U. S. Department of Education.
26. National Governors Association Center for Best Practices, Council of Chief State School Officers. (2010). Common Core State Standards. Washington, DC: Authors. Retrieved from http://www.corestandards.org
27. National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U. S. Department of Education.
28. National Research Council. (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
29. Parmar, R. S., Cawley, J. F., & Frazita, R. R. (1996). Word problem-solving by students with and without mild disabilities. Exceptional Children, 62, 415-429.
30. Pashler, H., Bain, P., Bottge, B., Graesser, A., Koedinger, K., & McDaniel, M., et al. (2007). Organizing instruction and study to improve student learning (NCER 2007-2004). Washington, DC: U. S. Department of Education.
31. Raudenbush, S. W. (2008). Advancing educational policy by advancing research on instruction. American Educational Research Journal, 45, 206-230. doi:10.3102/0002831207312905
32. Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models (2nd ed.). Newbury Park, CA: Sage.
33. Scheuermann, A. M., Deshler, D. D., & Schumaker, J. B. (2009). The effects of the explicit inquiry routine on the performance of students with learning disabilities on one-variable equations. Learning Disability Quarterly, 32, 103-120.
34. Siegler, R., Carpenter, T., Fennell, F., Geary, D., Lewis, J., Okamoto, Y., Thompson, L., & Wray, J. (2010). Developing effective fractions instruction for kindergarten through 8th grade: A practice guide (NCEE #2010-4039). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U. S. Department of Education. Retrieved from http://ies.ed.gov/ncee/wwc/practiceguide.aspx?sid=15
35. Silver, E. A., & Kenney, P. A. (2000). Results from the seventh mathematics assessment of the National Assessment of Educational Progress. Reston, VA: National Council of Teachers of Mathematics.
36. Slavin, R. E. (2008). What works? Issues in synthesizing educational program evaluations. Educational Researcher, 37, 5-14. doi:10.3102/ 0013189x08314117
37. Sloane, F. C. (2008). Randomized trials in mathematics education: Recalibrating the proposed high watermark. Educational Researcher, 37(9), 624-630. doi:10.3102/0013189x08328879
38. Spybrook, J., Raudenbush, S. W., Liu, X., & Congdon, R. (2006). Optimal design for longitudinal and multilevel research: Documentation for the "Optimal Design" software. Ann Arbor: University of Michigan.
39. Swanson, H. L., Jerman, O., & Zheng, X. (2008). Growth in working memory and mathematical problem solving in children at risk and not at risk for serious math difficulties. Journal of Educational Psychology, 100, 343-379. doi:10.1037/0022-0063.100.2.343
40. Sweller, J. (1988). Cognitive load during problem solving: Effects on learning. Cognitive Science, 12, 257-285.
41. Thorndike, E. L. (1922). Psychology of arithmetic. New York, NY: Macmillan.
42. University of Iowa. (2008). The Iowa Tests of Basic Skills (ITBS, Form C). Itasca, IL: Riverside Publishing.
43. What Works Clearinghouse. (2011). WWC procedures and standards handbook (Version 2.1). Retrieved from http://ies.ed.gov/ncee/wwc/documentsum.aspx?sid=19
44. Wouters, P., Paas, F., & van Merriënboer, J. J. G. (2008). How to optimize learning from animated models: A review of guidelines based on cognitive load. Review of Educational Research, 78, 645-675. doi:10.3102/0034654308320320