Serie prácticas educativas/30. Razonamiento proporcional/Referencias

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Hatano, G. (2003). Foreword. En A. J. Baroody & A. Dowker (Eds.), The development of arithmetic concepts and skills (pp. xi–xiii). Mahwah, NJ: Erlbaum.

Johnson, G. J. (2010). Proportionality in middle-school mathematics textbooks. Tesis doctoral inédita, University of South Florida, Department of Secondary Education, Tampa.

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Lamon, S. J. (2007). Rational numbers and proportional reasoning: Toward a theoretical framework. En F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 629–668). Charlotte, NC: Information Age.

Lesh, R., Post, T., & Behr, M. (1988). Proportional reasoning. En J. ­Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 93–118). Reston, VA: National Council of Teachers of Mathematics.

Mix, Kelly S. , J. Huttenlocher & S. Cohen Levine (2002). Quantitative development in infancy and early childhood. Oxford: Oxford University Press.

NCTM [National Council of Teachers of Mathematics] (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.

NCTM [National Council of Teachers of Mathematics] (2000). Principles and standards for school mathematics. Reston, VA: Author.

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Nunes, T., Schliemann, A. D., & Carraher, D. W. (1993). Mathematics in the streets and in schools. Cambridge: Cambridge University Press.

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Son, J.-W. (2013). How preservice teachers interpret and respond to student errors: Ratio and proportion in similar rectangles. Educational Studies in Mathematics, 84, 49–70.

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Van Dooren, W., De Bock, D., Evers, M., & Verschaffel, L. (2009). Students’ overuse of proportionality on missing-value problems: How numbers may change solutions. Journal for Research in Mathematics Education, 40, 187–211.

Van Dooren, W., De Bock, D., Hessels, A., Janssens, D., & Verschaffel, L. (2005). Not everything is proportional: Effects of age and problem type on propensities for overgeneralization. Cognition and Instruction, 23, 57–86.

Van Dooren, W., De Bock, D., Janssens, D., & Verschaffel, L. (2008). The linear imperative: An inventory and conceptual analysis of students’ overuse of linearity. Journal for Research in Mathematics Education, 39, 311–342.

Van Dooren, W., De Bock, D., & Verschaffel, L. (2010). From addition to multiplication … and back. The development of students’ additive and multiplicative reasoning skills. Cognition and Instruction, 28, 360–381.

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Whitman, C. (2001). It’s all connected: The power of proportional reasoning to understand mathematics concepts, Grades 6-8. Reston, VA: NCTM.