Ir al contenido

Documat


El álgebra temprana en manos del docente de primaria: un análisis de la fidelidad de ejecución y su relación con el rendimiento de los escolares

  • Despina A. Stylianou [1] ; Rena Stroud [5] ; Michael Cassidy [5] ; Eric Knuth [2] ; Ana Stephens [3] ; Angela Gardiner [5] ; Lindsay Demers [4]
    1. [1] City College of New York

      City College of New York

      Estados Unidos

    2. [2] University of Texas at Austin

      University of Texas at Austin

      Estados Unidos

    3. [3] University of Wisconsin–Madison

      University of Wisconsin–Madison

      City of Madison, Estados Unidos

    4. [4] Boston University

      Boston University

      City of Boston, Estados Unidos

    5. [5] TERC
  • Localización: Journal for the Study of Education and Development, Infancia y Aprendizaje, ISSN-e 1578-4126, ISSN 0210-3702, Vol. 42, Nº 3, 2019 (Ejemplar dedicado a: Pensamiento algebraico temprano : estudios desde diversas perspectivas, enfoques y regiones), págs. 545-569
  • Idioma: español
  • DOI: 10.1080/02103702.2019.1604021
  • Títulos paralelos:
    • Putting early algebra in the hands of elementary school teachers: examining fidelity of implementation and its relation to student performance
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • español

      En este artículo se analiza, bajo un marco teórico en el que se pone de relieve la importancia de la fidelidad de ejecución (FOI, por su nombre en inglés), la puesta en práctica de una intervención de álgebra temprana por maestros de 3º, 4º y 5º curso en Estados Unidos, así como la relación entre la FOI y el aprendizaje de los alumnos. Los datos utilizados en el estudio provienen de un proyecto de investigación experimental longitudinal en el que se realizó un seguimiento de 3,208 alumnos de 46 centros escolares durante tres años. Las observaciones en el aula, grabadas en video, constituyeron la fuente primaria de información sobre la FOI. Se codificaron las grabaciones para capturar las prácticas didácticas de los maestros, y se llevó a cabo una evaluación de los conocimientos de álgebra de los alumnos en la que se valoró su rendimiento en respuesta a la ejecución de la intervención didáctica por el docente. Los resultados revelan una relación significativa positiva entre algunos aspectos de la ejecución del docente y el rendimiento de sus alumnos.

    • English

      Guided by a theoretical framework emphasizing the importance of fidelity of implementation (FOI), this paper explores how teachers of grades 3, 4 and 5 implemented an early algebra intervention, and the relationship between FOI and student learning. The data shared in this paper come from a longitudinal experimental research project in which 3,208 students from 46 schools were followed for three years. Videotaped classroom observations, our primary source of FOI data, were coded to capture teachers’ instructional practices, and an algebra assessment was given to assess student performance in response to the teachers’ implementation of our instructional intervention. Results revealed a significant positive relationship between aspects of teachers’ implementation and their students’ performance.

  • Referencias bibliográficas
    • Blanton, M., Isler, I., Stroud, R., Stephens, A., Knuth, E., & Gardiner, A. (in press). Growth in children’s understanding of generalizing...
    • Blanton,M., Stephens, A., Knuth, E., Gardiner, A., Isler, I., & Kim, J. (2015). The development of children’s algebraic thinking: The...
    • Blanton, M., Stephens, A., Stroud, R., Knuth, E., Stylianou, D., & Gardiner, A. (in press). Does early algebra matter? The effectiveness...
    • Brizuela, B. M., & Earnest, D. (2008). Multiple notational systems and algebraic understandings: The case of the “best deal” problem....
    • Cai, J., & Knuth, E. (Eds.). (2011). Early algebraization: A global dialogue from multiple perspectives. Heidelberg: Springer.
    • Carpenter, T. P., Franke, M. L., & Levi, L. (2003). Thinking mathematically: Integrating arithmetic and algebra in the elementary school....
    • Carraher, D. W., Schliemann, A. D., Brizuela, B. M., & Earnest, D. (2006). Arithmetic and algebra in early mathematics education. Journal...
    • Carraher, D. W., Schliemann, A. D., & Schwartz, J. L. (2008). Early algebra is not the same as algebra early. In J. J. Kaput, D. W. Carraher,...
    • Dorland, W. A. (1994). Borland‘s illustrated medical dictionary (28th ed.). Philadelphia: W. B. Saunder.
    • Dusenbury, L., Brannigan, R., Hansen, W. B., & Walsh, J. (2003). Quality of implementation: developing measures to crucial to understanding...
    • Fonger, N. L., Stephens, A., Blanton, M., Isler, I., Knuth, E., & Gardiner, A. (2018). Developing a learning progression for curriculum,...
    • Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K. C., Wearne, D., Murray, H., & Human, P. (1997). Making sense: Teaching and learning...
    • Jacobs, V. R., Lamb, L. L. C., & Philipp, R. A. (2010). Professional noticing of children’s mathematical thinking. Journal for Research...
    • Kaput, J. (1999). Teaching and learning a new algebra. In E. Fennema, & T. A. Romberg (Eds.), Mathematical classrooms that promote understanding...
    • Kaput, J. (2008). What is algebra? What is algebraic reasoning? In J. Kaput, D. Carraher, & M. Blanton (Eds.), Algebra in the early grades...
    • Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. Washington, DC: National...
    • Kaput, J. J., Carraher, D. W., & Blanton, M. L. (Eds.). (2008). Algebra in the early grades. New York, NY: Lawrence Erlbaum Associates.
    • Kline, M. (1972). Mathematical thought from ancient to modern times. New York, NY: Oxford University Press.
    • Mihalic, S. (2002). The importance of implementation fidelity. Boulder, CO: Center for the Study and Prevention of Violence. Retrieved from:...
    • Moses, R. P., & Cobb, C. E. (2001). Radical equations: Math literacy and civil rights. Boston, MA: Beacon Press.
    • Mowbray, C., Holter, M. C., Teague, G. B., & Bybee, D. (2003). Fidelity criteria: Development, measurement, and validation. American Journal...
    • National Center for Teacher Effectiveness. (2014). Mathematical Quality of Instruction. Retrieved from http://isites.harvard.edu/icb/icb.do?keyword=mqi_training.
    • National Council of Teachers of Mathematics [NCTM]. (2000). Principles and standards for school mathematics. Reston, VA: Author.
    • National Governors Association Center for Best Practices [NGA] & Council of Chief State School Officers [CCSO]. 2010. Common core state...
    • National Research Council [NRC]. (2004). On curricular effectiveness: Judging the quality of K-12 mathematics evaluations. Washington, DC:...
    • North Dakota Department of Public Instruction. (n.d.). Fidelity of implementation. Retrieved from www.dpi.state.nd.us/speced/personnel/fidelity.shtm
    • O’Donnell, C. (2008). Defining, conceptualizing, and measuring fidelity of implementation and its relationship to outcomes in K-12 curriculum...
    • RAND Mathematics Study Panel Report. (2003). Mathematical proficiency for all students: A strategic research and development program in mathematics...
    • Raudenbush, S. W. (2007). Designing field trials of educational innovations. In B. Schneider, & S.-K. McDonald (Eds.), Scale-up in education:...
    • Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (2nd ed.). Thousand Oaks:...
    • Schoenfeld, A. (1995). Report of working group 1. In C. Lacampagne, W. Blair, & J. Kaput (Eds.), The algebra initiative colloquium (Vol....
    • Stigler, J. W., Gonzales, P., Kawanaka, T., Knoll, S., & Serrano, A. (1999). The TIMSS videotape classroom study: Methods and findings...
    • Summerfelt, W. T., & Meltzer, H. Y. (1998). Efficacy vs. effectiveness in psychiatric research. Psychiatric Services, 49, 834–835.
    • Superfine, A. S. (2008). Planning for mathematics instruction: A model of experienced teachers’ planning processes in the context of a reform...
    • U.S. Department of Education, Office of Educational Research and Improvement, National Center for Education Statistics. (1998). Pursuing excellence:...
    • Yap, K., Aldersebaes, I., Railsback, J., Shaughnessy, J., & Speth, T. (2000). Evaluating whole-school reform efforts: A guide for district...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno