An Onto-Semiotic Analysis of Combinatorial Problems and the Solving Processes by University Students

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An onto-semiotic approach to representations in mathematics education (2007, background): “In this paper we will look at the “ontological problem” of the representations and other related questions from the holistic approach which proposes the onto-semiotic approach to cognition and mathematics instruction (Godino and Batanero, 1998; Godino, 2002; Godino, Batanero and Roa, 2005; Contrer”
Patterns, Sets of Outcomes, and Combinatorial Justification: Two Students’ Reinvention of Counting Formulas (2015, background): “Godino, Batanero, and Roa (2005) also note that 118 undergraduate mathematics majors “generally found it difficult to solve the problems (each student only solved an average number of 6 [of 13] problems correctly)” (p. 4).”
The onto-semiotic approach to research in mathematics education (2007, methodology): “To follow, we have prepared a short abstract of the application of the onto-semiotic approach in the research of Godino et al. (2005) , where they describe the mathematics activity carried out by a sample of university students when solving elementary combinatoric problems.”
The problem of the particular and its relation to the general in mathematics education (2008, background): “In Fig. 1 we represent some of the different theoretical notions of the onto-semiotic approach for mathematical knowledge (Godino and Batanero 1998; Godino 2002; Godino et al. 2005; 2007; Godino, Contreras and Font 2006a; Godino, Font and Wilhelmi 2006b).”