Interpretaciones del signo igual en un contexto algebraico de polinomios

Referencias

BURGELL, F.; OCHOVIET, C. Significados del signo igual y aspectos de su enseñanza. Un estudio realizado con estudiantes de primer año de enseñanza secundaria y sus profesores. Enseñanza de las Ciencias, Barcelona, v. 33, n. 3, p. 77–98, jul. 2015. DEMBY, A. Algebraic procedures used by 13-to-15-year-olds. Educational studies in mathematics, Utrecht, v. 33, n. 1, p. 45–70, jun. 1997. FYFE, R.; MATTHEWS, P.; AMSEL, E. College students´ knowledge of the equal sign and its relation to solving equations. En: THE ANNUAL MEETING OF PME-NA, 39., 2017, Indianapolis. Proceedings… Indianapolis: Hoosier AMTE, 2017. p 279–283. KIERAN, C. A comparison between novice and more-expert algebra students on tasks dealing with the equivalence of equations. En: THE ANNUAL MEETING OF PME-NA, 6., 1984, Madison. Proceedings… Madison: Hoosier AMTE, 1984. p. 83–91. KIERAN, C. The Learning and Teaching of School Algebra. En: GROUWS, D. (ed.). Handbook of research on mathematics teaching and learning: A project of the NCTM. New York: Macmillan, 1992. p. 390–419. KIERAN, C.; SFARD, A. Seeing through symbols: The case of equivalent expressions. Focus on learning problems in mathematics, Massachusett, v. 21, n. 1, p. 1–17, ene. 1999. KNUTH, E.; ALIBALI, M.; MCNEIL, N.; WEINBERG, A.; STEPHENS, A. Middle school students’understanding of core algebraic concepts: Equivalence y variable. En: CAI, J.; KNUTH, E. (ed.).Early algebraization: Advances in Mathematics Education. Berlin: Springer, 2011. p. 259–276. LIEBENBERG, R.; LINCHEVSKI, L.; OLIVIER, A.; SASMAN, M. Laying the foundation for algebra: Developing an understanding of structure. En: THE ANNUAL CONGRESS OF AMESA, 4., 1998, Polokwane. Proceedings… Polokwane: AMESA, 1998. p. 1-5. MATTHEWS, P.; RITTLE-JOHNSON, B.; McELDOON, K.; TAYLOR, R. Measure for measure:What combining diverse measures reveals about children's understanding of the equal sign as an indicator of mathematical equality. Journal for Research in Mathematics Education, Reston, v. 43, n. 3, p. 316–350, may. 2012. MOLINA, M. Desarrollo de pensamiento relacional y comprensión del signo igual por alumnos de tercero de educación primaria. 2006. 713 f. Tesis (Doctorado en Didáctica de la Matemática) – Universidad de Granada, Granada, 2006. MOLINA, M.; CASTRO, E.; CASTRO, E. Elementary students understanding of the equal sign in number sentences. Electronic Journal of Research in Educational Psychology, Almería, v. 17, n. 1, p. 341–368, abr. 2009. NATIONAL COUNCIL OF TEACHERS OF MATHEMATICS. Principals and Standards for School Mathematics. USA: NCTM, 2008. PARODI, S. Significados del signo de igual en la entrada al algebra: un estudio de casos con estudiantes de segundo año de enseñanza secundaria. 2016. 303 f. Tesis (Maestría en Ciencias en Matemática Educativa) – CICATA, IPN, México DF, 2016. PARODI, S.; OCHOVIET, C.; LEZAMA, J. La comprensión del signo de igual en la entrada al álgebra: el diseño de tareas y la conversación en la clase de matemática. Enseñanza de las Ciencias, Barcelona, v. 35, n. 3, p. 51–67, nov. 2017. RADFORD, L. Grade 2 students’ non-symbolic algebraic thinking. En: CAI, J.; KNUTH, E. (ed.).Early algebraization: Advances in Mathematics Education. Berlin: Springer, 2011. p. 303–322. SFARD, A.; LINCHEVSKI, L. The gains and the pitfalls of reification. The case of Algebra. Educational Studies in Mathematics, Utrecht, v. 26, n. 1, p. 191–228, mar. 1994. SOLARES, A.; KIERAN, C. Articulating syntactic and numeric perspectives onequivalence. Educational Studies in Mathematics, Utrecht, v. 84, n. 1, p. 115–148, set. 2013. TABACH, M.; FRIEDLANDER, A. Algebraic procedures and creative thinking. ZDM, Berlin, v. 49, n. 1, p. 53–63, mar. 2017. TIROSH, D.; EVEN, R.; ROBINSON, N. Simplifying algebraic expressions: Teacher awareness and teaching approaches. Educational Studies in Mathematics, Utrecht, v. 35, n. 1, p. 51–64, ene. 1998.