Statistical literacy, reasoning and thinking: Specific competences that need to be promoted in classroom
DOI:
https://doi.org/10.33010/ie_rie_rediech.v12i0.1118Keywords:
statistics competencies, mathematics competencies, statistics education, competencies approachAbstract
The main objective of this essay is to analyze how the competencies approach can contribute to fulfilling the goals of statistics education. A revision about the concept of competencies, their types and approach is performed. Additionally, the relationship between competencies and Statistics education, along with the way to incorporate literacy, reasoning, and statistical thinking as competencies to be developed in class is analyzed. Besides, definitions are given about mathematics and statistics competencies emphasizing that although they complement each other, are different. Finally, recommendations and suggestions of the Guidelines for Assessment and Instruction in Statistics Education (GAISE) report are given for teaching statistics and how they could be applied in the classrooms under a competencies approach.
References
Arias, C. G., y Lombillo, I. (2019). Reflexiones en torno al enfoque de formación basado en competencias en el contexto chileno. Revista Cubana de Educación Superior, 38(3). Recuperado de: http://scielo.sld.cu/pdf/rces/v38n3/0257-4314-rces-38-03-e19.pdf.
Batanero, C., Burrill, G., y Reading, C. (2011). Teaching statistics in school mathematics: Challenges for teaching and teacher education. A joint ICMI/IASE study. The18th ICMI study. Heidelberg: Springer. Recuperado de: http://ndl.ethernet.edu.et/bitstream/123456789/33856/1/420.Carmen%20Batanero.pdf.
Beneitone, P., Esquetini, C., Gonzáles, J., Maletá, M. M., Siufi, G., y Wagenaar, R. (eds.) (2007). Reflexiones y perspectivas de la educación superior en América latina (Informe Final-Proyecto Tuning-América Latina 2004-2007). Recuperado de: http://tuning.unideusto.org/tuningal/index.phpoption=com_docman&Itemid=191&task=view_category&catid=22&order=dmdate_published&ascdesc=DESC.
Ben-Zvi, D., y Garfield, J. (2008). Introducing the emerging discipline of statistics education. School Science and Mathematics, 108(8), 355-361. Recuperado de: https://scholar.google.es/scholar?cluster=1053755480693261370&hl=es&as_sdt=0,5.
Ben-Zvi, D., y Garfield, J. (2004). Statistical literacy, reasoning, and thinking: Goals, definitions, and challenges. En D. Ben-Zvi y J. Garfield (eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 3-15). Dordrecht, Países Bajos: Kluwer Academic Publisher. Recuperado de: https://www.researchgate.net/publication/224013565_Towards_an_Understanding_of_Statistical_Thinking.
Campos, C. R. (2007). A educação estatística: uma investigação acerca dos aspectos relevantes à didática da estatística em cursos de graduação [Tesis Doctoral]. UNESP-IGCE, Rio Claro. Recuperado de: http://hdl.handle.net/11449/102161.
Casanova, I., Canquiz, L., Paredes, I., e Inciarte, A. (2018). Visión general del enfoque por competencias en Latinoamérica. Revista de Ciencias Sociales, 24(4), 114-125. Recuperado de: https://www.redalyc.org/jatsRepo/280/28059581009/html/index.html.
Chance, B. (2002). Components of statistical thinking and implications for instruction and assessment. Journal of Statistics Education, 10(3). https://doi.org/10.1080/10691898.2002.11910677.
De Allende, C., y Morones, G. (2006), Glosario de términos vinculados con la cooperación académica. México: ANUIES. Recuperado de: http://www.cucs.udg.mx/avisos/PDC_19_02_08/glosario_terminos_vinculados_con_cooperacion_acad.pdf.
delMas, R. (2002). Statistical literacy, reasoning, and learning: a commentary. Journal of Statistics Education, 10(3). https://doi.org/10.1080/10691898.2002.11910679.
delMas, R. (2004). A comparison of mathematical and statistical reasoning. En D. Ben-Zvi y J. Garfield (eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 79-95). Dordrecht: Springer. Recuperado de: https://www.researchgate.net/publication/224013565_Towards_an_Understanding_of_Statistical_Thinking.
Díaz, Á. (2006). El enfoque de competencias en la educación. ¿Una alternativa o un disfraz de cambio? Perfiles Educativos, 28(111), 7-36. Recuperado de: https://www.redalyc.org/articulo.oa?id=132/13211102.
Friz, M., Sanhueza, S., y Figueroa, E. (2011). Concepciones de los estudiantes para profesor de matemáticas sobre las competencias profesionales implicadas en la enseñanza de la estadística. Revista Electrónica de Investigación Educativa, 13(2), 113-131. Recuperado de: http://redie.uabc.mx/vol13no2/contenido-frizsanhueza.html.
GAISE (2016). Guidelines for Assessment and Instruction in Statistics Education. College report. Alexandria, VA: American Statistical Association. Recuperado de: www.amstat.org/asa/files/pdfs/GAISE/GaiseCollege_Full.pdf.
Gal, I. (2002). Adults’ statistical literacy: meanings, components, responsibilities. International Statiscal Review, 70(1), 1-51. Recuperado de: https://iase-web.org/documents/intstatreview/02.
Gal, I. (2019). Understanding statistical literacy: About knowledge of contexts and models. En J. M. Contreras, M. M. Gea, M. M. López-Martín y E. Molina-Portillo (eds.), Actas del Tercer Congreso Internacional Virtual de Educación Estadística. Recuperado de: www.ugr.es/local/fqm126/civeest.html.
Gal, I., y Garfield, J. (1997). Curricular goals and assessment challenges in statistics education. En I. Gal y J. B. Garfield (eds.), The assessment challenge in statistics education (pp. 1-13). IOS Press. Recuperado de: https://www.stat.auckland.ac.nz/~iase/publications/assessbk/chapter01.pdf.
Garfield, J. (2002). The challenge of developing statistical reasoning. Journal of Statistics Education, 10(3). https://doi.org/10.1080/10691898.2002.11910676.
Garfield, J., y Chance, B. (2000). Assessment in Statistics education: Issues and challenges. Mathematics thinking and learning, 2, 99-125. https://doi.org/10.1207/S15327833MTL0202_5.
González, J., y Wagenaar, R. (2003). Tuning educational structures in Europe. Informe Final Fase I. Bilbao, España: Universidad de Deusto. Recuperado de: http://tuningacademy.org/wp-content/uploads/2014/02/TuningEUI_Final-Report_SP.pdf.
Gorina-Sánchez, A., y Alonso-Berenguer, I. (2013). Concepción de una competencia estadística para el estudiante de doctorado en Ciencias Pedagógicas. Probabilidad condicionada: Revista de Didáctica de la Estadística, 1, 149-156. Recuperado de: https://dialnet.unirioja.es/descarga/articulo/4770258.pdf.
Groth, R. E. (2007). Toward a conceptualization of statistical knowledge for teaching. Journal for Research in Mathematics Education, 38(5), 427–437. Recuperado de: http://www.jstor.com/stable/30034960.
INCE (2004). Marcos teóricos de PISA 2003: la medida de conocimientos y destrezas en matemáticas, lectura, ciencias y resolución de problemas. Madrid: MEC. Recuperado de: www.ince.mec.es/pub/marcoteoricopisa2003.pdf.
Jiménez, M. (2010). Competencias en matemáticas y estadística. Recuperado de: http://www.inacap.org/tportal/portales/tp4964b0e1bk102/uploadImg/File/competenciasMatematicasEstadistica.pdf.
Johnson, M., y Kuennen, E. (2006). Basic math skills and performance in an introductory statistics course. Journal of Statistics Education, 14(2). Recuperado de: http://jse.amstat.org/v14n2/johnson.html.
Lalonde, R. N., y Gardner, R. C. (1993). Statistics as a second language? A model for predicting performance in psychology students. Canadian Journal of Behavioural Science/Revue Canadienne des Sciences du Comportement, 25(1), 108. https://doi.org/10.1037/h0078792.
Legaki, Z., y Hamari, J. (2020). Gamification in statistics education: A literature review. En International GamiFIN Conference (pp. 41-51). CEUR-WS. Recuperado de: http://ceur-ws.org/Vol-2637/paper5.pdf.
Mason, R. L., McKenzie, J. D. Jr., y Ruberg, S. J. (1990). A brief history of the American Statistical Association, 1839-1989. American Statistician, 44(2), 68-73. Recuperado de: https://www.jstor.org/stable/2684130.
Mejía, W. (2010). El enfoque por competencias. Recuperado de: http://estadisticaestudiante.pbworks.com/w/file/fetch/75516812/EL%20ENFOQUE%20DE%20COMPETENCIAS%201.pdf.
Moore, D. S. (1997). New pedagogy and new content: The case of statistics. International Statistical Review, 65(2), 123-137. Recuperado de: http://iase-web.org/documents/intstatreview/97.Moore.pdf.
Moore, D. S. (1988). Should mathematicians teach statistics? College Mathematics Journal, 19(1), 3-7. https://doi.org/10.1080/07468342.1988.11973073.
Mulder, M., Weigel, T., y Collins, K. (2007). The concept of competence in the development of vocational education and training in selected EU member states: A critical analysis. Journal of Vocational Education & Training, 59(1), 67-88. https://doi.org/10.1080/13636820601145630.
Niss, M. (2003). Quantitative literacy and mathematics competencies. En Quantitative literacy: Why numeracy matters for schools and colleges (pp. 215-220). Recuperado de: https://rieoei.org/historico/deloslectores/6761Iniguez.pdf.
OCDE (2004). El Programa PISA de la OCDE. Qué es y para qué sirve. París: OCDE. Recuperado de http://www.oecd.org/pisa/39730818.pdf.
OECD (2017). PISA 2015 assessment and analytical framework: Science, reading, mathematic, financial literacy and collaborative problem solving. Revised edition. París: PISA/ OECD Publishing. http://dx.doi.org/10.1787/9789264281820-en.
Perrenoud, P. (2004). Diez nuevas competencias para enseñar. México: SEP. Recuperado de: https://www.uv.mx/dgdaie/files/2013/09/Philippe-Perrenoud-Diez-nuevas-competencias-para-ensenar.pdf.
Pfannkuch, M., y Wild, C. (2004). Towards and understanding of statistical thinking. En D. Ben-Zvi y J. Garfield (eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 17-46). Dordrecht, Países Bajos: Kluwer Academic Publisher. Recuperado de: https://www.researchgate.net/publication/224013565_Towards_an_Understanding_of_Statistical_Thinking.
Rossman, A., Chance, B., Medina, E., y Obispo, C. P. S. L. (2006). Some key comparisons between statistics and mathematics, and why teachers should care. En Thinking and reasoning with data and chance: Sixty-eighth annual yearbook of the National Council of Teachers of Mathematics (pp. 323-333). Recuperado de https://statweb.calpoly.edu/arossman/stat400/Rossman_Chance_Medina.pdf.
Sharma, S. (2017) Definitions and models of statistical literacy: a literature review. Open Review of Educational Research, 4(1), 118-133, https://doi.org/10.1080/23265507.2017.1354313.
Snee, R. (1991). Statistical thinking and its contribution to total quality. 34th Fall Technical Conference. Recuperado de: http://asq.org/statistics/2011/10/continuous-improvement/statistical-thinking-and-its-contribution-to-total-quality.pdf.
Tobón, S. (2006). Aspectos básicos de la formación basada en competencias. Talca: Proyecto Mesesup. Recuperado de: https://maristas.org.mx/gestion/web/doctos/aspectos_basicos_formacion_competencias.pdf.
Tobón, S. (2013). Formación integral y competencias. Pensamiento complejo, currículo, didáctica y evaluación. Bogotá: ECOE. Recuperado de: https://www.researchgate.net/profile/Sergio_Tobon4/publication/319310793_Formacion_integral_y_competencias_Pensamiento_complejo_curriculo_didactica_y_evaluacion/links/59a2edd9a6fdcc1a315f565d/Formacion-integral-y-competencias-Pensamiento-complejo-curriculo-didactica-y-evaluacion.pdf.
Wild, C. J., y Pfannkuch, M. (1999). Statistical thinking in empirical enquiry (with discussion). International Statistical Review, 67(3), 223-265. Recuperado de: https://iase-web.org/documents/intstatreview/99.Wild.Pfannkuch.pdf.
Wisenbaker, J. M., Scott, J. S., y Nasser, F. (2000). Structural equation models relating attitudes about and achievement in introductory statistics courses: A comparison of results from the US and Israel. En Ninth International Congress on Mathematics Education, Tokyo. Recuperado de: http://iase-web.org/documents/papers/icme9/ICME9_01.pdf.
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Eduardo Aguilar Fernández, José Andrey Zamora Araya, Helen Susana Guillén Oviedo
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.