Ir al contenido

Documat


Horizon Content Knowledge: Shaping MKT for a Continuous Mathematical Education.

  • Autores: Sainza Fernánez, Lourdes Figueiras Ocaña Árbol académico
  • Localización: REDIMAT, ISSN-e 2014-3621, Vol. 3, Nº. 1, 2014, págs. 7-29
  • Idioma: inglés
  • Títulos paralelos:
    • Horizonte de Contenido de Conocimiento: Dando Forma al MKT para la Continuidad de la Educación Matemática.
  • Enlaces
  • Resumen
    • español

      El aprendizaje de las matemáticas es un proceso continuo en el que los estudiantes afrontan algunas transiciones abruptas. Este trabajo se centra en una de estas transiciones, la del paso de la educación primaria a la secundaria, desde la perspectiva del conocimiento matemático del profesorado. Nuestro objetivo es caracterizar cuál es el conocimiento que necesitan los maestros de matemáticas para hacer esta transición más fluida. El concepto de Conocimiento del Horizonte Matemático emerge como conceptualización teórica para analizar la transición desde la perspectiva del conocimiento matemático de los maestros y atender a la enseñanza de las matemáticas de una forma continua.

    • English

      Mathematics learning is a continuous process in which students face some abrupt episodes involving many changes of different natures. This work is focused on one of those episodes, transition from primary to secondary school, and targets teachers and their mathematical knowledge. By characterising the mathematical knowledge that teachers of mathematics need to smooth transition processes, we aim to highlight teachers� impact in the continuity of mathematics education. The concept of Mathematical Knowledge for Teaching (MKT) developed by Ball among others and, within this framework, the construct Horizon Content Knowledge (HCK) emerge as our theoretical response to the knowledge needed for teaching mathematics in a continuous way, particularly relevant during transition to secondary school. The enrichment of the idea of HCK and the characterisation of its expression in the teaching practice intends to develop a theoretical tool to approach transition from teachers� mathematical knowledge perspective.

  • Referencias bibliográficas
    • Abellanas, M. (2006-2007). Envolvente convexa, triangulación de Delaunay y diagrama de Voronoi: Tres estructuras geométricas en una, con muchas...
    • Akos, P., & Galassi, J. P. (2004). Middle and high school transitions as viewed by students, parents, and teachers. Professional School...
    • Akos, P., Queen, J.A., & Lineberry, C. (2005). Promoting a Successful Transition to Middle School. Larchmont, NY: Eye on Education. Alspaugh,...
    • Alspaugh, J.W., & Harting, R.D. (1998). Interdisciplinary team teaching versus departmentalization in middle schools. Research in Middle...
    • Anderman, E.M., & Midgley, C. (2004). Changes in self-reported academic cheating across the transition from middle school to high school....
    • Ball, D.L., & Hill, H. (2009). R and D: The curious - and crucial - case of mathematical knowledge for teaching. Phi Delta Kappan, 91(2),...
    • Ball, D.L., Thames, M.H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5),...
    • Benitez, D.T. Morningstar, M.E., & Frey, B.B. (2009). A multistate survey of special education teachers’ perceptions of their transition...
    • Berthelot, R. & Salin, M.H (2000-2001). L’enseignement de la géométrie au début du collège. Comment concevoir le passage de la géométrie...
    • Boulton-Lewis, G., Cooper, T., Atweh, B., Pillay, H., Wilss, L., Mutch, S. (1997). Transition from arithmetic to algebra: A cognitive perspective....
    • Boulton-Lewis, G.; Cooper, T.; Atweh, B.; Pillay, H.; Wilss, L. (1998). Arithmetic, Pre Algebra and Algebra: A Model of Transition. Gold Coast:...
    • Braund, M. (2002) Smoothing the transfer from Key Stage 2 to Key Stage 3. Education in Science, 197, 28-29.
    • Coad, J., & Jones, K. (1999). Curriculum Continuity in Mathematics: A Case Study of the Transition from Primary to Secondary School. University...
    • Cooper, T., Boulton-Lewis, G., Atweh, B., Pillay, H., Wilss, L., Mutch, S. (1997). Transition from arithmetic to algebra: Initial understanding...
    • Ding, C.S. (2008). Variations in academic performance trajectories during high school transition: exploring change profiles via multidimensional...
    • Ferguson, P.D. & Fraser, B.J. (1998). Student gender, school size and changing perceptions of science learning environment during transition...
    • Flores, A. (2002). Geometric representations in the transition from Arithmetic to Algebra. In Fernando Hitt (Ed), Representations and Mathematics...
    • Fraser, B.J. (1998). Classroom environment instruments: Development, validity and applications. Learning Environments Research, 1(1), 7- 33....
    • Gallardo, A. (2002). The extension of the natural number domain to the integers in the transition from Arithmetic to Algebra. Educational...
    • Gentle-Genitty, C. (2009). Best practice program for low-income africanamerican students transitioning from middle to high school. Children...
    • Gonzales, F.E. & Ruiz Lopez, F. (2003). Las centenas cuadriculadas: un material matemáticamente potente para ilustrar el tránsito de la...
    • Gueudet, G. (2008). Investigating the secondary-tertiary transition. Educational Studies in Mathematics, 67(3), 237-254. doi: 10.1007/s10649-007-9100-6
    • Guzmán, M., Hodgson, B., Robert, A., & Villani, V. (1998). Difficulties in the passage from secondary to tertiary education. Documenta...
    • Herlihy, C. (2007). Toward Ensuring a Smooth Transition Into High School. Washington DC: National High School Center.
    • Hill, H.C., Rowan, B., & Ball, D.L. (2005). Effects of teachers’ mathematical knowledge for teaching on student achievement. American...
    • Hill, H. C., Blunk, M., Charalambous, C., Lewis, J., Phelps, G., Sleep, L., & Ball, D. L. (2008). Mathematical knowledge for teaching...
    • Hill M., Graham C., Caulfield C., Ross N., & Shelton A. (2007). Interethnic relations among children at school: the perspectives of young...
    • Holler, E.W. (2008) Welcome to Clipper Camp! Principal Leadership Journal, 8(8), 28-31. doi:10.1111/j.1465-3435.2007.00300.x
    • Jourdan, N., Cretchley, P., & Passmore, T. (2007). Secondary-Terciary transition: what Mathematics skills can and should we expect this...
    • Kajander, A., & Lovric, M. (2005). Transition from secondary to terciary mathematics: McMaster University experience. International Journal...
    • Knight, P., & Huggins, M. (1997). Curriculum Continuity and Transfer from Primary to Secondary School: the Case of History. Educational...
    • Lewbel, S., Haskins, A., Spradling, N., & Thompson, S. C. (1996). Practitioners Respond. Middle School Journal, 28(1), 21-23.
    • Lucey, H., Reay, D. (2002). Carrying the Beacon of Excellence: Social Class Differentiation and Anxiety at a Time of Transition. Journal of...
    • McGee, C., Ward, R., Gibbons, J; Harlow, A. (2004). Transition to Secondary School: A Literature Review. Hamilton: The University of Waikato.
    • New Zealand Ministry of Education (2008). Students’ Transition from Primary to Secondary Schooling.
    • Noyes, A. (2006). School transfer and the diffraction of learning trajectories. Research Papers in Education, 21(1), 43-62. doi: 10.1080/02671520500445441
    • Pujol, R. (2006). Diagnóstico sobre la disposición del alumnado para aprender matemáticas a través de la resolución de problemas. (Unpublished...
    • Queen, J. A. (2002). Student Transitions From Middle to High School: Improving Achievement and Creating a Safer Environment. Larchmont, NY:...
    • Rice, J.K. (1997). Explaining the negative impact of the transition from middle to high school on student performance in mathematics and science:...
    • Rowland, T., Huckstep P., & Thwaites, A. (2005). Elementary teachers’ mathematics subject knowledge: the knowledge quartet and the case...
    • Sdrolias, K.A., & Triandafillidis, T.A. (2008) The transition to secondary school geometry: can there be a “chain of school mathematics”?...
    • Shulman, L.S. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15(2) 4-14. doi:10.3102/0013189X015002004
    • Simpson M., Goulder, J. (1998). Promoting Continuity and Progression: Implementing the 5-14 Development Programme in Secondary School Mathematics...
    • Zanobini, M. & Usai, C. (2002). Domain-specific Self-concept and Achievement Motivation in the Transition from Primary to Low Middle School....
    • Zeedyk, M. S., Gallacher, J., Henderson, M., Hope, G., Husband, B., & Lindsay, K. (2003). Negotiating the transition from primary to secondary...
    • Zhang, D., Ivester, J. & Katsiyamis, A. (2005). Teachers’ view of transition services: results from a statewide survey in South Carolina....

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno