An Exploratory Validation of Curriculum-Based Mathematical Word Problem-Solving Tasks as Indicators of Mathematics Proficiency for Third Graders

References

• Bartel, N. R. (1990). Problems in mathematics achievement. In D. D. Hammill & N. R. Bartel (Eds.), Teaching students with learning and behavior problems (5th ed., pp. 289–343). Austin, TX: PRO-ED.
   Google Scholar
• Beaton, A. E., Mullis, I. V. S., Martin, M. O., Gonzales, E. J., Kelly, D. L., & Smith, T. A. (1996). Mathematics achievement in the middle years: IEA's third international mathematics and science study. Chestnut Hill, MA: Boston College.
   Google Scholar
• Briars, D. J., & Larkin, J. H. (1984). An integrated model of skill in solving elementary word problems. Cognition and Instruction, 1, 245–296.
   Google Scholar
• Carpenter, T. P., Hiebert, J., & Moser, J. M. (1983). The effect of instruction on children's solutions of addition and subtraction word problems. Educational Studies in Mathematics, 14, 55–72.
   Google Scholar
• Carpenter, T. P., & Moser, J. M. (1984). The acquisition of addition and subtraction concepts in grades one through three. Journal for Research in Mathematics Education, 15, 179–202.
   Google Scholar
• Carpenter, T. P., Moser, J. M., & Bebout, H. C. (1988). Representation of addition and subtraction word problems. Journal for Research in Mathematics Education, 19, 345–357.
   Web of Science ®Google Scholar
• Chatterji, M. (2002). Models and methods for examining standards-based reforms and accountability initiatives: Have the tools of inquiry answered pressing questions on improving schools? Review of Educational Research, 72, 345–386.
   Web of Science ®Google Scholar
• CTB/McGraw-Hill. (1989). Comprehensive Tests of Basic Skills (4th ed.). Monterey, CA: Author.
   Google Scholar
• CTB/McGraw-Hill. (1986). California Achievement Tests: Forms E and F: Technical bulletin 2. Monterey, CA: Author.
   Google Scholar
• CTB/McGraw-Hill. (2001). TerraNova. Monterey, CA: Author.
   Google Scholar
• Cummins, D., Kintsch, W., Reusser, K., & Weimer, R. (1988). The role of understanding in solving word problems. Cognitive Psychology, 20, 405–438.
   Web of Science ®Google Scholar
• De Corte, E., Verschaffel, L., & De Win, L. (1985). Influence of rewording verbal problems on children's problem representations and solutions. Journal of Educational Psychology, 77, 460–470.
   Web of Science ®Google Scholar
• Deno, S. (1985). Curriculum-based measurement: The emerging alternative. Exceptional Children, 52, 219–232.
   PubMed Web of Science ®Google Scholar
• Elliot, D. L., & Woodward, A. (1990). Textbooks, curriculum, and social improvement. In D. L. Elliot & A. Woodward (Eds.), Textbooks and schooling in the United States: Eighty-ninth yearbook of the national society for the study of education (pp. 222–223). Chicago: University of Chicago Press.
   Google Scholar
• Foegen, A., & Deno, S. (2001). Identifying growth indicators for low-achieving students in middle school mathematics. Journal of Special Education, 35, 4–16.
   Web of Science ®Google Scholar
• Freeman, D. J., & Porter, A. C. (1989). Do textbooks dictate the content of mathematics instruction in elementary schools? American Educational Research Journal, 26, 403–421.
   Web of Science ®Google Scholar
• Fuchs, L. S., & Deno, S. (1991). Pardigmatic distinctions between instructionally relevant measurement models. Exceptional Children, 57, 488–500.
   Web of Science ®Google Scholar
• Fuchs, L. S., Fuchs, D., & Courey, S. J. (2005). Curriculum-based measurement of mathematics competence: From computation to concepts and applications to reallife problem-solving. Assessment for Effective Intervention, 30, 33–46.
   Google Scholar
• Fuchs, L. S., Fuchs, D., Hamlett, C. L., & Allinder, R. (1989). The reliability and validity of skills analysis within curriculum-based measurement. Diagnostique, 14, 203–221.
   Google Scholar
• Fuchs, L. S., Fuchs, D., Hamlett, C., Phillips, N., Karns, K., & Dutka, S. (1997). Enhancing students' helping behavior during peer-mediated instruction with conceptual mathematical explanations. Elementary School Journal, 97, 223–250.
   Web of Science ®Google Scholar
• Fuchs, L. S., Fuchs, D., Hamlett, C., & Stecker, P. (1991). Effects of curriculum-based measurement on teacher planning and student achievement in mathematical operations. American Educational Research Journal, 28, 617–641.
   Web of Science ®Google Scholar
• Fuchs, L. S., Fuchs, D., Hamlett, C. L., Thompson, A., Roberts, P. H., Kubek, P., & Stecker, P. M. (1994). Technical features of a mathematics concepts and applications curriculum-based measurement system. Diagnostique, 19(4), 23–49.
   Google Scholar
• Fuchs, L. S., Fuchs, D., Karns, K., Hamlett, C. L., Dutka, S., & Karzaroff, M. (2000). The importance of providing background information on the structure and scoring of performance assessments. Applied Measurement in Education, 13, 1–34.
   Web of Science ®Google Scholar
• Fuchs, L. S., Fuchs, D., Karns, K., Hamlett, C. L., & Karzaroff, M. (1999). Mathematics performance assessment in the classroom: Effects on teacher planning and student problem-solving. American Educational Research Journal, 36, 609–646.
   Web of Science ®Google Scholar
• Fuchs, L. S., Hamlett, C. L., & Fuchs, D. (1998). Monitoring Basic Skills Progress: Basic math computational manual (2nd ed.). Austin, TX: PRO-Ed.
   Google Scholar
• Garner, R. (1992). Learning from school texts. Educational Psychologist, 27, 53–63.
   Web of Science ®Google Scholar
• Geary, D. C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37, 4–15.
   PubMed Web of Science ®Google Scholar
• Haggarty, L., & Pepin, B. (2002). An investigation of mathematics textbooks and their use in English, French, and German classrooms: Who gets an opportunity to learn what? British Educational Research Journal, 28(4, 567–590.
   Web of Science ®Google Scholar
• Harcourt Brace & Company. (1996). Stanford Achievement Test (9th ed.). San Antonio, TX: Harcourt Brace Jovanovich.
   Google Scholar
• Helwig, R., Anderson, L., & Tindal, G. (2002). Using a concept-grounded measure in mathematics to predict statewide test scores for middle school students with LD. The Journal of Special Education, 36, 102–122.
   Web of Science ®Google Scholar
• Hiebert, J., & Carpenter, T. (1992). Learning and teaching with understanding. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 65–97). New York: Simon & Schuster Macmillan.
   Google Scholar
• Jordan, N. C., & Hanich, L. B. (2003). Characteristics of children with moderate mathematics deficiencies: A longitudinal perspective. Learning Disabilities Research & Practice, 18, 213–221.
   Google Scholar
• Kintsch, W., & Greeno, J. G. (1985). Understanding and solving word arithmetic problems. Psychological Review, 92, 109–129.
   PubMed Web of Science ®Google Scholar
• Manfre, E., Moser, J. M., Lobato, J. E., & Morrow, L. (1994). Heath mathematics connections. Lexington, MA: D.C. Heath and Company.
   Google Scholar
• Mayer, R. E., Sims, V., & Tajika, H. (1995). A comparison of how textbooks teach mathematical problem-solving in Japan and the United Stated. American Education Research Journal, 32, 443–460.
   Web of Science ®Google Scholar
• McLaughlin, M. J., & Thurlow, M. (2003). Educational accountability and students with disabilities: Issues and challenges. Educational Policy, 17, 431–451.
   Web of Science ®Google Scholar
• Nathan, M. J., Long, S. D., & Alibali, M. W. (2002). The symbolic precedence view of mathematical development: A corpus analysis of the rhetorical structure of textbooks. Discourse Processes, 33, 1–21.
   Web of Science ®Google Scholar
• National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
   Google Scholar
• National Research Council. (2001). Adding it up: Helping children learn mathematics. In J. Kilpatrick, J. Swafford, & B. Findell (Eds.), Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.
   Google Scholar
• No child left behind act of 2001, P.L. 107–110, 115 Stat. 1425.
   Google Scholar
• Nolet, V., & McLaughlin, M. J. (2000). Accessing the general curriculum: Including students with disabilities in standards-based reform. Thousand Oaks, CA: Corwin Press.
   Google Scholar
• Ogawa, R. T., & Collom, E. (2000). Using performance indicators to hold schools accountable: Implicit assumptions and inherent tensions. Peabody Journal of Education, 75, 200–215.
   Google Scholar
• Riley, M. S., Greeno, J. G., & Heller, J. J. (1983). Development of children's problem-solving ability in arithmetic. In H. Ginsburg (Ed.), The development of mathematical thinking (pp. 153–195). New York: Academic Press.
   Google Scholar
• Rittle-Johnson, B., Siegler, R. S., & Alibali, M. W. (2001). Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology, 93, 346–362.
   Web of Science ®Google Scholar
• Riverside. (1995). Performance assessment of the Iowa Test of Basic Skills. Chicago: Author.
   Google Scholar
• Shinn, M. R. (Ed.). (1998). Advanced applications of curriculum-based measurement. New York: Guilford.
   Google Scholar
• Van de Walle, J. A. (2004). Elementary and middle school mathematics (5th ed.). New York: Longman.
   Google Scholar
• Whinnery, K. W., & Fuchs, L. S. (1992). Implementing effective teaching strategies with learning disabled students through curriculum-based measurement. Learning Disabilities Research and Practice, 7, 25–30.
   Google Scholar