Mathematical and statistical literacy: an analysis based on PISA results
Tipo de documento
Autores
Lista de autores
François, Karen, Monteiro, Carlos y Vanhoof, Stijn
Resumen
In this paper we discuss the distinction between statistical literacy and mathematical literacy. The starting point of this discussion is the fact that within the Programme for International Student Assessment (PISA) statistical survey items are elaborated only from the mathematical literacy point of view. We first present theoretical elements on the differences between mathematics and statistics, between mathematical and statistical literacy and we elaborate on the growing interest in statistical literacy as a specific competence. Second we present results of an empirical analysis based on the PISA 2003 data. The analysis showed an extremely high correlation between mathematical and statistical literacy. In the conclusion we emphasise the necessity to reveal the notion of statistical literacy within the PISA results.
Fecha
2013
Tipo de fecha
Estado publicación
Términos clave
Competencias | Estadística | Instrumentos | Métodos estadísticos
Enfoque
Nivel educativo
Educación media, bachillerato, secundaria superior (16 a 18 años) | Educación primaria, escuela elemental (6 a 12 años) | Educación secundaria básica (12 a 16 años)
Idioma
Revisado por pares
Formato del archivo
Volumen
4
Número
1
Rango páginas (artículo)
1-16
ISSN
21779309
Referencias
BISHOP, A. J. Mathematical enculturation: A cultural perspective on mathematics education. Dordrecht: Kluwer Academic Publishers, 1988. BROERS, N. J. Learning goals: The primacy of statistical knowledge. In: INTERNATIONAL CONFERENCE ON TEACHING STATISTICS – ICOTS, 7., 2006, Salvador. Proceedings... Salvador: Brazil, 2006. 1 CD-ROM. CARVALHO, C. Interação entre pares: Contributos para a promoção de desenvolvimento lógico e do desempenho estatístico no 7º ano de escolaridade. 2001. Thesis (Doctorate in Education) University of Lisbon, Portugal, 2001. De MEYER, I.; PAULY, J.; VAN DE POELE, L. Leren voor de problemen van morgen: De eerste resultaten van PISA 2000. Gent: Vakgroep Onderwijskunde Universiteit Gent, 2004. ERNEST, P. The philosophy of mathematics education, Studies in mathematics education. London: RoutledgeFalmer, 1991. EVANS, J. Mathematics for adults: Community research and 'barefoot statisticians'. In M. Nickison; S. Lerman (Ed.) The social context of mathematics education: Theory and practice. London: Southbank Press, 1992. FRANÇOIS, K.; BRACKE, N. Teaching statistics in a critical way: Historical, philosophical and political aspects of statistics. INTERNATIONAL CONFERENCE ON TEACHING STATISTICS – ICOTS, 7., 2006, Salvador. Proceedings... Salvador: Brazil, 2006. 1 CD-ROM. FRANKENSTEIN, M. Reading the world with maths: Goals for a critical mathematical literacy curriculum. INTERNATIONAL MATHEMATICS EDUCATION AND SOCIETY CONFERENCE – MES, 1., 2008, Nottingham, UK. Proceedings... Nottingham: UK, 1998. Retrieved November 18, 2008. Available at: http://www.nottingham.ac.uk/csme/meas/papers/frankenstein.html GAL, I. Adult statistical literacy: Meanings, components, responsibilities. International Statistical Review, v. 1, n. 70, p. 1-25, 2002. GAL, I. Statistical literacy. Meanings, components, responsibilities. In: BEN-ZVI, D.; GARFIELD J. (Ed.), The challenge of developing statistical literacy, reasoning and thinking. Dordrecht: Kluwer, 2004. GARFIELD, J. B.; BEN-ZVI, D. Developing students’ statistical reasoning: Connecting research and teaching practice. New York: Springer, 2008. HAACK, D. Statistical literacy: A guide to interpretation. North Scituate: Duxbury Press, 1979. HUTCHISON, D.; SCHAGEN, I. Comparisons between PISA and TIMSS: Are we the man with two watches? In LOVELESS, T. (Ed.), Lessons learned: What international assessments tell us about math achievement. Washington, D.C.: Brookings Institution Press, 2007. KLINE, M. Mathematics for the nonmathematician. New York: Dover Publications, 1985. MONTEIRO, C. Investigating critical sense in the interpretation of media graphs. 2005. Thesis (PhD in Education) University of Warwick, UK, 2005. MOORE, D. S., Foreword. In: BEN-ZVI, D.; GARFIELD J. (Ed.), The challenge of developing statistical literacy, reasoning and thinking. Dordrecht: Kluwer, 2004. MOREIRA, L. Mathematics education and critical consciousness. CONFERENCE OF THE INTERNATIONAL GROUP FOR THE PSYCHOLOGY OF MATHEMATICS EDUCATION – PME, 26., 2002, Norwich, UK. Proceedings... Norwich: UK, 2002. OECD - Organisation for Economic Co-operation and Development. Learning for tomorrow's world: First results from PISA 2003. Paris: OECD, 2004 OECD - Organisation for Economic Co-operation and Development. PISA 2003 technical report. Paris: OECD, 2005. PINXTEN, R.; FRANÇOIS, K. Ethnomathematics in practice. In FRANÇOIS, K.; VAN BENDEGEM, J. P. (Ed.), Philosophical dimensions in mathematics education.. New York: Springer, 2007. VAN KERKHOVE, B. A place for education in the contemporary philosophy of mathematics. In FRANÇOIS, K.; VAN BENDEGEM, J. P. (Ed.), Philosophical dimensions in mathematics education.. New York: Springer, 2007. WALLMAN, K. Enhancing statistical literacy: Enriching our society. Journal of the American Statistical Association, v. 88, n. 421, p. 1-8, 1993. WATSON, J. M. Statistical literacy at school: Growth and goals. Mahwah, N.J.: Lawrence Erlbaum, 2006.