Abstract
While curriculum specialists and committees often decide how mathematics is taught, it is ultimately principals who influence the extent to which these initiatives are carried out. The overall goal of this article is to provide school leaders with classroom-based research that describes one way of improving the math skills of middle school students. The study employed a randomized pretest-posttest comparison group design to examine the effects of two versions of Enhanced Anchored Instruction (EAI) and a Business as Usual (BAU) condition on the math skills of middle school students in technology education classrooms. Results showed that both EAI conditions were effective at improving the math skills of students over those of students in the BAU classes. The findings suggest that technology education teachers can make important contributions in helping students develop their computation and problem-solving skills.
|
Baroody, A.J. , & Coslick, R.T. ( 1998). Fostering children’s mathematical power. Mahwah, NJ: Lawrence Erlbaum. Google Scholar | Crossref | |
|
Barrows, H.L. ( 1996, Winter). Problem-based learning in medicine and beyond: A brief overview. New Directions for Teaching and Learning , 68, 3-12. Google Scholar | Crossref | |
|
Behr, M. , Harel, G. , Post, T. , & Lesh, R. ( 1992). Rational number, ratio, and proportion. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 296-333). New York, NY : Macmillan. Google Scholar | |
|
Bottge, B.A. ( 1999). Effects of contextualized math instruction on problem solving of average and below-average achieving students. Journal of Special Education, 33, 81-92. Google Scholar | SAGE Journals | ISI | |
|
Bottge, B.A. , Heinrichs, M. , Chan, S. , & Serlin, R. ( 2001). Anchoring adolescents’ understanding of math concepts in rich problem-solving environments. Remedial and Special Education, 22, 299-314. Google Scholar | SAGE Journals | ISI | |
|
Bottge, B.A. , Rueda, E. , Grant, T.S. , Stephens, A.C. , & LaRoque, P.T. (in press). Anchoring problem-solving and computation instruction in context-rich learning environments. Exceptional Children. Google Scholar | ISI | |
|
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 and Development, 57, 529-552. Google Scholar | Crossref | ISI | |
|
Bottge, B.A. , Rueda, E. , LaRoque, P.T. , Serlin, R.C. , & Kwon, J. ( 2007). Integrating reform-oriented math instruction in special education settings. Learning Disabilities Research and Practice , 22, 96-108. Google Scholar | Crossref | |
|
Bottge, B.A. , Rueda, E. , Serlin, R.C. , Hung, Y. , & Kwon, J. ( 2007). Shrinking achievement differences with anchored math problems: Challenges and possibilities. Journal of Special Education, 41, 31-49. Google Scholar | SAGE Journals | ISI | |
|
Bottge, B. , Rueda, E. , & Skivington, M. (2006). Situating math instruction in rich problem-solving contexts: Effects on adolescents with challenging behaviors. Behavioral Disorders, 31, 394-407. Google Scholar | SAGE Journals | ISI | |
|
Bransford, J. , Derry, S. , Berliner, D. , Hammerness, K. , & Beckett, K. l. (2005). Theories of learning and their roles in teaching . In L. Darling-Hammond & J. Bransford (Eds.), Preparing teachers for a changing world: What teachers should learn and be able to do (pp. 40-87). San Francisco, CA: Jossey-Bass. Google Scholar | |
|
Brown, J.S. , Collins, A. , & Duguid, P. ( 1989). Situated cognition and the culture of learning. Educational Researcher, 17, 32-41. Google Scholar | SAGE Journals | |
|
Bruner, J.S. ( 1960). The process of education. New York, NY: Random House. Google Scholar | |
|
Center for Applied Special Technology. (2009 ). Universal design for learning. Retrieved from http://www.cast.org/research/udl/index.html Google Scholar | |
|
Charalambous, C.Y. , & Pitta-Pantazi, D. (2007). Drawing on a theoretical model to study students’ understandings of fractions. Educational Studies in Mathematics, 64, 293-316. Google Scholar | Crossref | |
|
Cho, S.-J. , Bottge, B.A. , Cohen, A.S. , & Kim, S.-H. (in press). Detecting cognitive change in the math skills of low-achieving adolescents. Journal of Special Education. Google Scholar | ISI | |
|
Calhoon, M.B. , Emerson, R.W. , Flores, M. , & Houchins, D.E. (2007). Computational fluency performance profile of high school students with mathematics disabilities. Remedial and Special Education, 28, 292-303. Google Scholar | SAGE Journals | ISI | |
|
Cognition and Technology Group at Vanderbilt University. ( 1990). Anchored instruction and its relationship to situated cognition. Educational Researcher, 19, 2-10. Google Scholar | SAGE Journals | |
|
Cognition and Technology Group at Vanderbilt. ( 1997). The Jasper project: Lessons in curriculum, instruction, assessment, and professional development. Mahwah, NJ: Erlbaum. Google Scholar | |
|
Cohen, J. ( 1977). Statistical power analysis for the behavioral sciences . New York, NY: Academic Press. Google Scholar | |
|
Dewey, J. ( 1938). Experience and education. New York, NY: Macmillan. Google Scholar | |
|
Educational Testing Service. (2007). America’s perfect storm: Three forces changing our nation’s future . Princeton, NJ: Author. Google Scholar | |
|
Frank, M. , & Barzilai, A. ( 2006). Project-based technology: Instructional strategy for developing technological literacy. Journal of Technology Education , 18, 39-53. Google Scholar | Crossref | |
|
Fuchs, L.S. , & Fuchs, D. ( 2002). Mathematical problem-solving profiles of students with mathematics disabilities with and without comorbid reading difficulties. Journal of Learning Disabilities, 35, 563-573. Google Scholar | SAGE Journals | ISI | |
|
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. Google Scholar | SAGE Journals | ISI | |
|
Greeno, J.G. , & the Middle School Mathematics Through Applications Project Group. (1998). The situativity of knowing, learning, and research. American Psychologist, 53, 5-26. Google Scholar | Crossref | ISI | |
|
Greeno, J.G. , & Collins, A. ( 2008). Commentary on the final report of the national mathematics advisory panel. Educational Researcher, 37, 618-623. Google Scholar | SAGE Journals | ISI | |
|
Hand, V.M. ( 2010). The co-construction of opposition in a low-track mathematics classroom. American Educational Research Journal, 47, 97-132. Google Scholar | SAGE Journals | ISI | |
|
Hiebert, J. , & Carpenter, T.P. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 65-97). New York, NY: Macmillan. Google Scholar | |
|
International Society for Technology in Education. ( 2007). National Educational Technology Standards and performance indicators for students. Eugene, OR; Author. Google Scholar | |
|
Kloosterman, P. ( 2010). Mathematics skills of 17-year-olds in the United States: 1978 to 2004. Journal for Research in Mathematics Education , 41, 20-51. Google Scholar | ISI | |
|
Lee, J. , Grigg, W. , & Dion, G. ( 2007). The nation’s report care: Mathematics 2007 (NCES 2007-494). Washington, DC: U.S. Department of Education. Google Scholar | |
|
Leithwood, K. , & Jantzi, D. ( 2008). Linking leadership to student learning: The contributions of leader efficacy. Educational Administration Quarterly, 44, 496-528. Google Scholar | SAGE Journals | ISI | |
|
Lesh, R. , & Kelly, A. ( 2000). Multitiered teaching experiments. In A. E. Kelly & R. A. Lesh (Eds.), Handbook of research design in mathematics and science education (pp. 197-230). Mahwah, NJ: Erlbaum. Google Scholar | |
|
Lesh, R. , Yoon, C. , & Zawojewski, J. (2007). John Dewey revisited-Making mathematics practical versus making practice mathematical. In R. A. Lesh , E. Hamilton , & J. Kaput (Eds.), Foundations for the future in mathematics education (pp. 315-348). Mahwah, NJ: Erlbaum. Google Scholar | |
|
Maccini, P. , & Gagon, J.C. ( 2006). Mathematics instructional practices and assessment accommodations by secondary special and general educators. Exceptional Children , 72, 217-234. Google Scholar | SAGE Journals | ISI | |
|
Maccini, P. , Mulcahy, C.A. , & Wilson, M.G. ( 2007). A follow-up of mathematics interventions for secondary students with learning disabilities. Learning Disabilities Research & Practice, 22, 58-74. Google Scholar | Crossref | |
|
McEwan, E.K. ( 2000). The principal’s guide to raising math achievement . Thousand Oaks, CA: Corwin. Google Scholar | |
|
National Center on Education and the Economy. ( 2007). Tough choices or tough times: The report of the new commission on the skills of the American workforce. Washington, DC : Author. Google Scholar | |
|
National Council of Teachers of Mathematics. ( 2000). Principles and standards for school mathematics. Reston, VA: Author. Google Scholar | |
|
National Mathematics Advisory Panel. (2008 ). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education. Google Scholar | |
|
National Research Council. (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press. Google Scholar | |
|
Pashler, H. , Bain, P. , Bottge, B. , Graesser, A. , Koedinger, K. , McDaniel, M. , & Metcalfe, J. ( 2007). Organizing instruction and study to improve student learning (NCER 2007-2004). Washington, DC: National Center for Education Research, Institute of Education Sciences, & U.S. Department of Education. Retrieved from http://ncer.ed.gov Google Scholar | |
|
Pelfrey, R. ( 2006). The mathematics program improvement plan: A comprehensive evaluation process for K-12 schools. Alexandria, VA: Association for Supervision and Curriculum Development. Google Scholar | |
|
Post, T.R. , Wachsmuth, I. , Lesh, R. , & Behr, M.J. ( 1985). Order and equivalence of rational number concepts. Journal for Research in Mathematics Education, 16, 18-36. Google Scholar | Crossref | |
|
Raudenbush, S.W. , & Bryk, A.S. ( 2002). Hierarchical linear models: Applications and data analysis methods (2nd ed.). Newbury Park, CA: Sage. Google Scholar | |
|
Raudenbush, S.W. , Bryk, A.S. , Cheong, Y.F. , & Congdon, R.T. ( 2000). Hierarchical linear and nonlinear modeling. Lincolnwood, IL: Scientific Software International . 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, 346-363. Google Scholar | Crossref | ISI | |
|
Roschelle, J. , Singleton, C. , Sabelli, N. , Pea, R. , & Bransford, J.D. (2008). Mathematics worth knowing, resources worth growing, research worth noting: A response to the National Mathematics Advisory Panel Report. Educational Researcher , 37, 610-617. Google Scholar | SAGE Journals | ISI | |
|
Sanders, M. ( 2001). New paradigm or old wine? The status of technology education practice in the United States. Journal of Technology Education , 12, 35-55. Google Scholar | Crossref | |
|
Schoenfeld, A.H. ( 2004). The math wars. Educational Policy, 18, 253-286. Google Scholar | SAGE Journals | ISI | |
|
Shelly, R. ( 2002). Designing math labs to accommodate advanced standards and technology. NASSP Bulletin, 86, 45-61. Google Scholar | SAGE Journals | |
|
Smith, J.P. ( 2002). The development of students’ knowledge of fractions and ratios. In B. Litwiller & G. Bright (Eds.), Making sense of fractions, ratios, and proportions (pp. 3-17). Reston, VA: National Council of Teachers of Mathematics. Google Scholar | |
|
Smith, D. , Wilson, B. , & Corbett, D. ( 2009). Moving beyond talk. Educational Leadership , 66, 20-25. Google Scholar | ISI | |
|
Star, J.R. ( 2005). Reconceptualizing procedural knowledge. Journal for Research in Mathematics Education, 36, 404-411. Google Scholar | ISI | |
|
Stephens, A.C. , Bottge, B.A. , & Rueda, E. ( 2009). Ramping up on fractions. Mathematics Teaching in the Middle School, 14, 520-526. Google Scholar | |
|
Stodden, R.A. , Galloway, L.M. , & Stodden, N.J. ( 2003). Secondary school curricula issues: Impact on postsecondary students with disabilities. Exceptional Children, 70, 9-25. Google Scholar | SAGE Journals | ISI | |
|
Stone, J.R., III , Alfeld, C. , & Pearson, D. ( 2008). Rigor and relevance: Enhancing high school students’ math skills through career and technical education. American Educational Research Journal, 45, 767-795. Google Scholar | SAGE Journals | ISI | |
|
Stone, J.R. , Alfeld, C. , Pearson, D. , Lewis, M.V. , & Jensen, S. ( 2006). Building academic skills in context: Testing the value of enhanced math learning in CTE. Minneapolis: University of Minnesota. Google Scholar | |
|
Sulzer-Azaroff, B. , & Mayer, G.R. ( 1977). Applying behavior analysis procedures with children and youth. New York, NY: Holt, Rinehart & Winston. Google Scholar | |
|
University of Iowa. (2001). The Iowa Tests of Basic Skills (ITBS, Form A). Itasca, IL. Riverside. Google Scholar | |
|
Wertheimer, M. ( 1959). Productive thinking. New York, NY : Harper & Brothers. Google Scholar | |
|
Woodward, J. ( 2004). Mathematics education in the United States: Past to present . Journal of Learning Disabilities, 37, 16-31. Google Scholar | SAGE Journals | ISI |

