Mathematical objects through the lens of two different theoretical perspectives: APOS and OSA

Vicenç Font Moll; María Trigueros; Edelmira Badillo; Norma Rubio

doi:10.1007/s10649-015-9639-6

Mathematical objects through the lens of two different theoretical perspectives: APOS and OSA

Vicenç Font Moll
, María Trigueros
, Edelmira Badillo
, Norma Rubio

Sección de Matemáticas

Universitat de Barcelona
Instituto Tecnológico Autónomo de México
Autonomous University of Barcelona

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	107-122
Number of pages	16
Journal	Educational Studies in Mathematics
Volume	91
Issue number	1
DOIs	https://doi.org/10.1007/s10649-015-9639-6
State	Published - 1 Jan 2016

Keywords

APOS theory
Derivative
Encapsulation
Networking of theories
Onto-semiotic approach
Thematization
mathematical objects

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10.1007/s10649-015-9639-6

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abstract = "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.",

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Mathematical objects through the lens of two different theoretical perspectives: APOS and OSA

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Keywords

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