Una Propuesta de Cambio Curricular: Integración del Pensamiento Algebraico en Educación Primaria

Marta Molina

Ayuda

Una Propuesta de Cambio Curricular: Integración del Pensamiento Algebraico en Educación Primaria

Autores: Marta Molina
Localización: PNA: Revista de investigación en didáctica de la matemática, ISSN-e 1887-3987, Vol. 3, Nº. 3, 2009, págs. 135-156
Idioma: español
DOI: 10.30827/pna.v3i3.6186
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Dialnet Métricas: 21 Citas

Resumen
- Se describe una propuesta curricular basada en la integración de modos de pensamiento algebraicos en el currículo de la educación primaria, la cual está siendo objeto de numerosas investigaciones en la actualidad. En este contexto, partiendo del constructo pensamiento relacional, se presentan resultados de un experimento de enseñanza, basado en el trabajo con sentencias numéricas, que ejemplifica el potencial de dicha propuesta y permite evidenciar la capacidad de alumnos de tercer curso de educación primaria para trabajar en aritmética de un modo algebraico.
Referencias bibliográficas
- Bastable, V. y Schifter, D. (2007). Classroom stories: examples of elementary students engaged in early algebra. En J. Kaput, D. W. Carraher...
- Bednarz, N., Kieran, C. y Lee, L. (1996). Approaches to algebra. Perspectives for seeing. Harmondsworth: BBC y Penguin Books Ltd. DOI: https://doi.org/10.1007/978-94-009-1732-3_1
- Blanton, M. L. y Kaput, J. (2005). Characterizing a classroom practice that promotes algebraic reasoning. Journal for Research in Mathematics...
- Booth, L. R. (1999). Children's difficulties in beginning algebra. En B. Moses (Ed.), Algebraic thinking. Grades K-12. Readings from NCTM's...
- Brizuela, B. M. y Lara-Roth, S. (2001). Additive relations and function tables. En H. Chick, K. Stacey, J. Vincent y J. Vincent (Eds.), Proceedings...
- Brizuela, B. M. y Schliemann, A. D. (2003). Fourth graders solving equations. En N. A. Pateman, B. J. Dougherty y J. T. Zilliox (Eds), Proceedings...
- Carpenter, T. P. y Franke, M. L. (2001). Developing algebraic reasoning in the elementary school: generalization and proof. En H. Chick, K....
- Carpenter, T. P., Franke, M. L. y Levi, L. (2003). Thinking mathematically: Integrating arithmetic y algebra in elementary school. Portsmouth,...
- Carpenter, T. P., Franke, M. L. y Levi, L. (2005). From children's mathematics to thinking mathematically: Integrating algebraic reasoning...
- Carraher, D. W. y Schliemann, A. D. (2007). Early algebra and algebraic reasoning. En F. K. Lester (Ed.), Second handbook of research on mathematics...
- Carraher, D. W., Schliemann, A. D. y Brizuela, B. M. (2000). Early algebra, early arithmetic: Treating operations as functions. Presentado...
- Carraher, D. W., Schliemann, A. D. y Brizuela, B. M. (2001). Can young students operate on unknowns? En M. van der Heuvel-Panhuizen (Ed.),...
- Carraher, D. W., Schliemann, A. D., Brizuela, B. M. y Earnest, D. (2006). Arithmetic and algebra in early mathematics education. Journal for...
- Davis, R. B. (1985). ICME-5 Report: Algebraic thinking in the early grades. Journal of Mathematical Behaviour, 4, 195-208.
- Davydov, V. (1962). An experiment in introducing elements of algebra in elementary school. Soviet Education, 8, 27-37. DOI: https://doi.org/10.2753/RES1060-9393050127
- Drijvers, P. y Hendrikus, M. (2003). Learning algebra in a computer algebra environment: Design research on the understanding of the concept...
- Freiman, V. y Lee, L. (2004). Tracking primary students' understanding of the equal sign. En M. Johnsen y A. Berit (Eds.), Proceedings...
- Freudenthal, H. (1974). Soviet research on teaching algebra at the lower grades of elementary school. Educational Studies in Mathematics,...
- Fujii, T. (2003). Probing students' understanding of variables through cognitive conflict problems is the concept of a variable so difficult...
- Gómez, B. (1995). Los viejos métodos de cálculo. Un dominio para transitar de la aritmética al álgebra y viceversa. Suma, 20, 61-68.
- Hejny, M., Jirotkova, D. y Kratochvilova J. (2006). Early conceptual thinking. En J. Novotná, H. Moraová, M. Krátká y N. Stehlíková (Eds.),...
- Hewitt, D. (1998). Approaching arithmetic algebraically. Mathematics Teaching, 163, 19-29.
- Kaput, J. (1998). Teaching and learning a new algebra with understanding. Dartmouth, MA: National Center for Improving Student Learning and...
- Kaput, J. (2000). Transforming algebra from an engine of inequity to an engine of mathematical power by “algebrafying” the K-12 curriculum....
- Knuth, E. J., Alibali, M. W., McNeil, N. M., Weinberg, A. y Stephens, A. C. (2005). Middle school students' understanding of core algebraic...
- Koehler, J. (2002). Algebraic reasoning in the elementary grades: Developing an understanding of the equal sign as a relational symbol. Tesis...
- Lins, R. y Kaput, J. (2004). The early development of algebraic reasoning: the current state of the field. En K. Stacey, H. Chick y M. Kendal...
- Mason, J. (1996). Expressing generality and roots of algebra. En N. Bednarz, C. Kieran y L. Lee (Eds.), Approaches to algebra. Perspectives...
- Mason, J., Graham, A. y Johnston-Wilder, S. (2005). Developing thinking in algebra. London: The Open University y Paul Chapman Publishing.
- Molina, M. (2006). Desarrollo de pensamiento relacional y comprensión del signo igual por alumnos de tercero de educación primaria. Tesis...
- Molina, M. y Ambrose, R. (2008). From an operational to a relational conception of the equal sign. Thirds graders' developing algebraic...
- Molina, M., Castro, E. y Ambrose, R. (2006). Trabajo con igualdades numéricas para promover pensamiento relacional. PNA, 1(1), 31-46.
- Molina, M., Castro, E. y Castro, E. (2007). Teaching experiments within design research. The International Journal of Interdisciplinary Social...
- National Council of Teachers of Mathematics (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Autor.
- National Council of Teacher of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: Autor.
- Sáenz-Ludlow, A. y Walgamuth, C. (1998). Third graders' interpretations of equality and the equal symbol. Educational Studies in Mathematics,...
- Schliemann, A. D., Carraher, D. W., Brizuela, B. M., Earnest, D., Goodrow, A., Lara-Roth, S., et al. (2003). Algebra in elementary school....
- Subramaniam, K. (2004). Naming practices that support reasoning about and with expressions. Presentado en the 10th International Congress...
- Sutherland, R. (2007). A dramatic shift of attention: From arithmetic to algebraic thinking. En J. Kaput, D. W. Carraher y M. L. Blanton (Eds.),...
- Usiskin, Z. (1988). Conceptions of school algebra and uses of variables. En A. Coxford (Ed.), The ideas of algebra K-12 (pp. 8-19). Reston,...
- Vergnaud, G. (1988). Long terme et court terme dans l'apprentissage de l'algèbre. En C. Laborde (Ed.), Actes du premier colloque franco-allemand...
- Warren, E. (2001). Algebraic understanding and the importance of operation sense. En M. Heuvel-Penhuizen (Ed.), Proceedings of the 25th conference...
- Warren, E. (2003).Young children's understanding of equals: a longitudinal study. En N. Pateman, G. Dougherty y J. Zilliox (Eds.), Proceedings...
- Warren, E. (2004). Generalizing arithmetic: Supporting the process in the early years. En M. Johnsen y A. Berit (Eds.), Proceedings of the...