Ministerio de Educacion

Analyzing students' difficulties in understanding real numbers

Voskoglou, Michael; Kosyvas, Georgios (2012). Analyzing students' difficulties in understanding real numbers. REDIMAT, 1(3), pp. 301-226 .

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This article reports on a study of high-school and of technologist students (prospective engineers and economists) understanding of real numbers. Our study was based on written response to a properly designed questionnaire and on interviews taken from students. The quantitative results of our experiment showed an almost complete failure of the technologist students to deal with processes connected to geometric constructions of incommensurable magnitudes. The results of our experiment suggest that the ability to transfer in comfort among several representations of real numbers helps students in obtaining a better understanding of them. A theoretical explanation about this is obtained through the adoption of the conceptual framework of dimensions of knowledge, introduced by Tirosh et al. (1998) for studying the comprehension of rational numbers. Following in part the idea of generic decomposition of the APOS analysis (Weller et al. 2009) we suggest a possible order for development of understanding the real numbers by students when teaching them at school. Some questions open to further research are also mentioned at the end of the paper.

Tipo de Registro:Artículo
Términos clave:12. Investigación e innovación en Educación Matemática > Fuentes de información > Entrevistas
13. Matemáticas escolares > Números > Estructuras numéricas
10. Otras nociones de Educación Matemática > Sistemas de representación > Simbólico
06. Aprendizaje > Procesos cognitivos > Comprensión
11. Educación Matemática y otras disciplinas > Educación Matemática desde otras disciplinas
Nivel Educativo:Título de grado universitario
Código ID:16180
Depositado Por:Monitor Funes 4
Depositado En:16 Abr 2020 12:30
Fecha de Modificación Más Reciente:16 Abr 2020 12:30

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