Competencies in understanding statistical information in primary and secondary school levels: An inter-cultural empirical study with German and Colombian students
Tipo de documento
Autores
Engel, Joachim | Kuntze, Sebastian | Martignon, Laura | Vargas, Francisco
Lista de autores
Kuntze, Sebastian, Vargas, Francisco, Martignon, Laura y Engel, Joachim
Resumen
This paper is devoted to examining the validity of a hierarchical competency model of statistical literacy by assessing the corresponding competency levels of primary and secondary students from Colombia and Germany. The results replicate prior findings and confirm the hierarchical competency model. The study has two novel components with respect to previous work on competency levels in statistical literacy: it examines elementary school performance and it includes an intercultural comparison. The competency scores reached by the students, however, suggest specific profiles of sub-groups of learners included in the study. The intercultural study is clearly exploratory since the samples both in Colombia and in Germany were not representative. The results point to interesting new questions and motivate further intercultural research.
Fecha
2015
Tipo de fecha
Estado publicación
Términos clave
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
7
Rango páginas (artículo)
5-25
ISSN
22544313
Referencias
Barrera- Osorio, F., Maldonado, D., & Rodríguez C. (2012). Calidad de la Educación Básica y Media en Colomia: Diagnóstico y Propuestas. Documentos CEDE, 41 Bogotá: Ediciones Uniandes. Batanero, C.; Burrill, G., & Reading, C. (2011): Teaching Statistics in School Mathematics – Chalenges for Teaching and Teacher Education. A Joint ICMI/ IASE Study: The 18th ICMI Study. Springer: Dordrecht Batanero, C., Godino, J., Vallecillos, A., Green, D., & Holmes, P. (1995). Errors and difficulties in understanding elementary statistical concepts. International Journal of Mathematics Education in Science and Technology, 25(4), 527-547. Blomhøj, M., & Jensen, T.H. (2003). Developing mathematical modelling competence: conceptual clarification and educational planning. Teaching Mathematics and its applications, 22(3), 123–139. Blum, W., & Leiß, D. (2005). Modellieren im Unterricht mit der “Tanken”-Aufgabe. Mathematik Lehren, 128, 18–21. Curcio, F.R. (1987). Comprehension of mathematical relationships expressed in graphs. Journal for Research in Mathematics Education, 18(5), 382-393. Deutsches PISA-Konsortium. (Ed.). (2004). PISA 2003. Münster: Waxmann. Engel, J. (2013): Statistics education and human rights monitoring. Macau, Philipines: Proceedings Joint IASE/ IAOS Satellite conference on Statistics Education for Progress: International Statistical Institue. Engel, J. & Kuntze, S. (2011). From data to functions: connecting modelling competencies and statistical literacy. in G. Kaiser et al. (Eds.), Trends in teaching and learning of mathematical modelling (pp. 397-406) Dordrecht: Springer. KMK (Kultusministerkonferenz). (Ed.). (2004). Bildungsstandards im Fach Mathematik für den mittleren Schulabschluss. München: Wolters Kluwer. Kröpfl, B., Peschek, W., & Schneider, E. (2000). Stochastik in der Schule: Globale Ideen, lokale Bedeutungen, zentrale Tätigkeiten. Mathematica Didactica, 23(2), 25-57. Kuntze, S. (2010). Zur Beschreibung von Kompetenzen des mathematischen Modellierens konkretisiert an inhaltlichen Leitideen – Eine Diskussion von Kompetenzmodellen als Grundlage für Förderkonzepte zum Modellieren im Mathematikunterricht. [Describing mathematical modelling in content areas – A discussion of competency models as a basis for developing learning environments for fostering modeling competencies]. Der Mathematikunterricht (MU), 56(4), 4-19. Kuntze, S. (In press). Modellieren beim Nutzen von Darstellungen in statistischen Kontexten - Bedingungsvariablen eines Aspekts mathematischer Kompetenz. [Modelling when using representations in statistical contexts – Impact factors on an aspect of mathematical competency]. In R. Borromeo-Ferri, G. Greefrath, G. Kaiser (Eds.), Didaktik des mathematischen Modellierens – Erste Bausteine. Heidelberg: Spektrum Akademischer Verlag. Kuntze, S., Engel, J., Martignon, L., & Gundlach, M. (2010). Aspects of statistical literacy between competency measures and indicators for conceptual knowledge – Empirical research in the project RIKO-STAT. In C. Reading (Ed.), Data and context in statistics education: Towards an evidence-based society. Proceedings of the Eighth International Conference on Teaching Statistics. Ljubljana, Slovenia: International Statistical Institute. Retrieved from: http://icots.info/8/cd/home.html Kuntze, S., & Kurz-Milcke, E. (2010). Content domain-related and task-specific views of mathematics teachers in the area of statistics. In F.M. Pinto, & T.F. Kawasaki, (Eds.), Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education, Vol. 3 (pp. 193-200) Belo Horizonte, Brazil: PME. Kuntze, S., Lindmeier, A,. & Reiss, K. (2008). Using models and representations in statistical contexts” as a sub-competency of statistical literacy – Results from three empirical studies. Proceedings of the 11th International Congress on Mathematical Education (ICME 11). Retrieved from: http://tsg.icme11.org/document/get/474. NCTM (National Council of Teachers of Mathematics). (2003). Principles and Standards for School Mathematics. Reston, VA: Author. OECD (2003). The PISA 2003 assessment framework - Mathematics, reading, science and problem solving knowledge and skills. Paris: Author. Wallman, K. (1993). Enhancing statistical literacy: Enriching our society, Journal of the American Statistical Association, 88(421), 1-8. Watson, J.M. (1997). Assessing statistical thinking using the media, In I. Gal, & J.B. Garfield, (Eds.), The assessment challenge in statistics education (pp. 107-121). IOS Press. Watson, J., & Callingham, R. (2003). Statistical literacy: A complex hierarchical construct. Statistics Education Research Journal, 2(2), 3-46. Watson, J.M., Kelly, B.A., Callingham, R.A., & Shaughnessy, J.M. (2003). The measurement of school students’ understanding of statistical variation. International Journal of Mathematics Education in Science and Technology, 34(1), 1-29. Wild, C.J., & Pfannkuch, M. (1999). Statistical thinking in empirical enquiry. International Statistical Review 67, 223-265.