
06545245
j
2016b.00177
Font Moll, Vicen\c{c}
Trigueros, Mar\'{\i}a
Badillo, Edelmira
Rubio, Norma
Mathematical objects through the lens of two different theoretical perspectives: APOS and OSA.
Educ. Stud. Math. 91, No. 1, 107122 (2016).
2016
Springer Netherlands, Dordrecht
EN
C30
D20
networking of theories
mathematical objects
ontosemiotic approach
APOS theory
encapsulation
thematization
derivative
doi:10.1007/s1064901596396
Summary: This paper presents a networking of two theories, the APOS Theory and the ontosemiotic approach (OSA), to compare and contrast how they conceptualize the notion of a mathematical object. As context of reflection, we designed an APOS genetic decomposition for the derivative and analyzed it from the point of view of OSA. Results of this study show some commonalities and some links between these theories and signal the complementary nature of their constructs.