Mathematical objects through the lens of two different theoretical perspectives: APOS and OSA
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 p...
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| Veröffentlicht in: | Educational studies in mathematics 2016-01, Vol.91 (1), p.107-122 |
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| container_title | Educational studies in mathematics |
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| creator | Font Moll, Vicenç Trigueros, María Badillo, Edelmira Rubio, Norma |
| description | 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. |
| doi_str_mv | 10.1007/s10649-015-9639-6 |
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| ispartof | Educational studies in mathematics, 2016-01, Vol.91 (1), p.107-122 |
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| language | eng |
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| source | Jstor Complete Legacy; Education Source (EBSCOhost); SpringerLink (Online service); JSTOR Mathematics & Statistics |
| subjects | Cognition Cognitive models Construction engineering Constructivism (Learning) Education Mathematical Concepts Mathematical functions Mathematical objects Mathematics Mathematics Education Mental objects Methods Philosophical object Schematic Studies Semiotics Study and teaching Theories Typographic fonts |
| title | Mathematical objects through the lens of two different theoretical perspectives: APOS and OSA |
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