Views of struggling students on instruction incorporating multiple strategies in algebra i: An exploratory study

Journal for Research in Mathematics Education

Volumn 45, Issue 1, 2014, Pages 6-18

  Lynch, Kathleen ^a   Star, Jon R ^a  

^a HARVARD GRADUATE SCHOOL OF EDUCATION   (United States)

Author keywords

Algebra and algebraic thinking; High school education; Middle school education; Multiple strategies

Indexed keywords

EID: 84893214348     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: 10.5951/jresematheduc.45.1.0006     Document Type: Review

References (22)

1. Baxter, J., Woodward, J., & Olson, D. (2001). Effects of reform-based mathematics instruction in five third-grade classrooms. Elementary School Journal, 101(5), 529-548. doi: 10.1086/499686
2. Baxter, J., Woodward, J., Voorhies, J., & Wong, J. (2002). We talk about it, but do they get it? Learning Disabilities Research & Practice, 77(3), 173-185.
3. Brenner, M. E., Mayer, R. E., Moseley, B., Brar, T., Duran, R., Reed, B. S., & Webb, D. (1997). Learning by understanding: The role of multiple representations in learning algebra. American Educational Research Journal, 34(4), 663-689. (Pubitemid 127355207)
4. Carpenter, T. P., Franke, M. L., Jacobs, V. R., Fennema, E., & Empson, S. B. (1998). A longitudinal study of invention and understanding in children's multidigit addition and subtraction. Journal for Research in Mathematics Education, 29(1), 3-20.
5. Johnstone, B. (2002). Discourse analysis (2nd ed.). Malden, MA: Blackwell.
6. Kilpatrick, J. (2009). Algebra is symbolic. In S. L. Swars, D. W. Stinson, & S. Lemons-Smith (Eds.), Proceedings of the 31st Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 5, pp. 11-21). Atlanta, GA: Georgia State University.
7. Lincoln, Y. S., & Guba, E. G. (1985). Naturalistic inquiry. Beverly Hills, CA: Sage.
8. Lynch, K., & Star, J. R. (in press). Teachers' views about multiple strategies in middle and high school mathematics: Perceived advantages, disadvantages, and reported instructional practices. Mathematical Thinking and Learning.
9. Montague, M. (1992). The effects of cognitive and metacognitive strategy instruction on the mathematical problem solving of middle school students with learning disabilities. Journal of Learning Disabilities, 25(4), 230-248.
10. National Council of Teachers of Mathematics. (2006). Curriculum focal points for prekindergarten through grade 8 mathematics. Reston, VA: Author.
11. National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common core state standards for mathematics. Retrieved from http://www.corestandards. org/assets/CCSSI- Math%20Standards.pdf
12. National Research Council. (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
13. Rittle-Johnson, B., & Star, J. (2007). Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations. Journal of Educational Psychology, 99(3), 561-574.
14. Rittle-Johnson, B., & Star, J. R. (2011). The power of comparison in learning and instruction: Learning outcomes supported by different types of comparisons. In J. P. Mestre & B. H. Ross (Eds.), Psychology of Learning and Motivation: Cognition in Education (Vol. 55, pp. 199-222). Waltham, MA: Elsevier. doi: 10.1016/B978-0-12-387691 -1.00007-7
15. 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(2), 103-120.
16. Silver, E. A., Ghousseini, H., Gosen, D., Charalambous, C., & Strawhun, B. (2005). Moving from rhetoric to praxis: Issues faced by teachers in having students consider multiple solutions for problems in the mathematics classroom. Journal of Mathematical Behavior, 24,287-301. (Pubitemid 43008585)
17. Star, J. R., & Rittle-Johnson, B. (2008). Flexibility in problem solving: The case of equation solving. Learning and Instruction, 18, 565-579.
18. Star, J. R., & Rittle-Johnson, B. (2009a). It pays to compare: An experimental study on computational estimation. Journal of Experimental Child Psychology, 102(4), 408-426. doi:10.1016/j. jecp.2008.11.004
19. Star, J. R., & Rittle-Johnson, B. (2009b). Making algebra work: Instructional strategies that deepen student understanding, within and between representations. ERS Spectrum, 27(2), 11-18.
20. Steele, M. M., & Steele, J. W. (2003). Teaching algebra to students with learning disabilities. Mathematics Teacher, 96(9), 622-624.
21. Stein, M. K., Kaufman, J. H., Sherman, M. & Hillen, A. (2011). Algebra: A challenge at the crossroads of policy and practice. Review of Educational Research, 81(4), 453-492.
22. Woodward, J., Beckmann, S., Driscoll, M., Franke, M. L., Herzig, P, Jitendra, A. K., Ogbuehi, P. (2012). Improving mathematical problem solving in grades 4 to 8: A practice guide (NCEE 2012-4055). Washington, D.C.: 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/pdf/practice-guides/mps-pg-052212.pdf