id: 06545245
dt: j
an: 2016b.00177
au: Font Moll, VicenĂ§; Trigueros, MarĂa; Badillo, Edelmira; Rubio, Norma
ti: Mathematical objects through the lens of two different theoretical
perspectives: APOS and OSA.
so: Educ. Stud. Math. 91, No. 1, 107-122 (2016).
py: 2016
pu: Springer Netherlands, Dordrecht
la: EN
cc: C30 D20
ut: networking of theories; mathematical objects; onto-semiotic approach; APOS
theory; encapsulation; thematization; derivative
ci:
li: doi:10.1007/s10649-015-9639-6
ab: 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.
rv: