SANTIAGO – VILLARRICA – BARCELONA: THE STATISTICAL INVESTIGATIVE CYCLE IN PRIMARY EDUCATION TEACHER TRAINING
DOI:
https://doi.org/10.52041/serj.v20i2.392Keywords:
Statistics education research, Primary teacher training, Statistical investigative cycleAbstract
We consider the ability to complete an investigative cycle as an indicator of the robustness of students’ statistical knowledge. From this standpoint, we analyzed the written reports of primary education student teachers when they developed an investigative cycle in a Chilean and a Spanish university. In their development of the stages of the cycle we observed characteristics common to the centers (for example, summary research questions and conclusions that are a simple concatenation of results), and differential features (the data collection tools and techniques, among others). Armed with a knowledge of how future teachers approach and understand an investigative cycle we are able to contribute ideas that influence their training, building bridges between what they learn and what they should teach.
Abstract: Spanish
Consideramos la capacidad para completar un ciclo de investigación estadística como indicador de la robustez del conocimiento estadístico del estudiante. Desde este posicionamiento, analizamos las producciones escritas de profesores de enseñanza básica en formación cuando desarrollan un ciclo de investigación en una universidad Chilena y una Española. En las concreciones de las fases del ciclo observamos características comunes entre los centros (por ejemplo, preguntas de investigación tipo resumen y conclusiones como simple concatenación de resultados), y elementos diferenciales (instrumentos y técnicas de recogida de datos, entre otros). Conocer cómo abordan y comprenden el ciclo de investigación los futuros profesores nos permite aportar ideas para incidir en su formación, tendiendo puentes entre lo que aprenden y lo que deberán enseñar.
References
Arnold, P. M. (2013). Statistical investigative questions. An enquiry into posing and answering investigative questions from existing data. [Doctoral dissertation, University of Auckland].
Arnold, P., & Pfannkuch, M. (2019). Posing comparative statistical investigative questions. In G. Burrill & D. Ben-Zvi (Eds.), Topics and trends in current statistics education research (pp. 173–195). Springer.
Arteaga, P. (2011). Evaluación de conocimientos sobre gráficos estadísticos y conocimientos didácticos de futuros profesores. [Evaluation of knowledge on statistical graphs and didactic knowledge of future teachers] [Doctoral dissertation, University of Granada]
Batanero, C., & Borovcnik, M. (2016). Statistics and probability in high school. Sense Publishers.
Begg, A. (1997). Some emerging influences underpinning assessment in statistics. In I. Gal & J. Garfield (Eds.), The assessment challenge in statistics education (pp. 17–25). IOS Press.
Ben-Zvi, D., Makar, K., & Garfield, J. (Eds.). (2018). International handbook of research in statistics education. Springer.
Bright, G. W., & Friel, S. N. (1998). Graphical representations: Helping students interpret data. In S. P. Lajoie (Ed.), Reflections on statistics: Learning, teaching, and assessment in grades K–12 (pp. 63–88). Lawrence Erlbaum.
Burgess, T. (2008). Teacher knowledge for teaching statistics through investigations. Joint ICMI/IASE Study: Teaching Statistics in School Mathematics. Challenges for Teaching and Teacher Education. Proceedings of the ICMI Study 18.
Cohen, L., Manion, L., & Morrison, K. (2000). Research methods in education (5th ed.). Routledge Falmer.
Decret 119/2015, de 23 de juny, del Departament d’Educació de la Generalitat de Catalunya, pel qual s'estableix l'ordenació dels ensenyaments de l'educació primària. [Statutory Order 119/2015, passed on 23 June, Department of Education of the Generalitat Government of Catalonia, which regulates primary education] http://xtec.gencat.cat/ca/curriculum/primaria/normativa/
Decret 143/2007, de 26 de juny, del Departament d’Educació de la Generalitat de Catalunya, pel qual s'estableix l'ordenació dels ensenyaments de l'educació secundaria obligatòria. [Statutory Order 143/2007, passed on 26 June, Department of Education by the Generalitat Government of Catalonia, which regulates compulsory secondary education] http://cido.diba.cat/legislacio/936598/decret-1432007-de-26-de-juny-pel-qual-sestableix-lordenacio-dels-ensenyaments-de-leducacio-secundaria-obligatoria
Decret 187/2015, de 25 d’agost, del Departament d’Educació de la Generalitat de Catalunya, pel qual s'estableix l'ordenació dels ensenyaments de l'educació secundaria obligatòria. [Statutory Order 187/2015, passed 25 August, Department of Education of the Generalitat Government of Catalonia, which regulates compulsory secondary education] http://xtec.gencat.cat/ca/curriculum/eso/normativa/
Decreto Supremo No. 254 de la República de Chile que modifica decreto supremo nº 220, de 1998, del Ministerio de Educación que establece los objetivos fundamentales y contenidos mínimos obligatorios de la educación media y fija normas generales para su aplicación. [Statutory Order No. 254 of the Republic of Chile amending Statutory Order No. 220 of 1998 of the Ministry of Education, which establishes the fundamental goals and minimum compulsory content of secondary education and lays down general standards for their application] https://www.leychile.cl/Navegar?idNorma=1005222
Franklin, C., Kader, G., Mewborn, D., Moreno, J., Peck, R., Perry, M., et al. (2007). Guidelines for assessment and instruction in statistics education (GAISE) report: A preK-12 curriculum framework. American Statistical Association.
Gal, I. (2002). Adults’ statistical literacy: Meanings, components, responsibilities. International Statistical Review, 70(1), 1–25.
Garfield, J. (2002). The challenge of developing statistical reasoning. Journal of Statistics Education, 10(3). https://doi.org/10.1080/10691898.2002.11910676
Holmes, P. (1980). Teaching statistics 11–16. Schools Council Publications and W. Foulsham.
Makar, K., & Fielding-Wells, J. (2011). Teaching teachers to teach statistical investigations. In C. Batanero, G. Burrill, & C. Reading (Eds.), Teaching statistics in school mathematics: Challenges for teaching and teacher education (pp. 347–358). Springer.
Makar, K., & Rubin, A. (2018). Learning about statistical inference. In D. Ben-Zvi, K. Makar & J. Garfield (Eds.), International handbook of research in statistics education (pp. 261–294). Springer.
MINEDUC. (2012). Bases curriculares Primero a Sexto Básico. [Curricular bases Grades One through Six Basic Education] Ministerio de Educación. https://www.curriculumnacional.cl/614/articles-22394_bases.pdf
MINEDUC. (2015). Bases curriculares 7º básico a 2º medio. [Curricular bases Grade Seven Basic Education through Grade two Middle Education] Ministerio de Educación. https://www.curriculumnacional.cl/614/articles-37136_bases.pdf
MINEDUC. (2019). Bases curriculares 3º y 4º medio. Plan de Formación General, Plan de Formación Diferenciada Humanístico-Científico. [Curricular Bases Grades Three and Four Middle Education. General Education Plan, Differentiated Humanistic-Scientific Education Plan] Ministerio de Educación. https://www.curriculumnacional.cl/614/articles-91414_bases.pdf
Pfannkuch, M., Arnold, P., & Wild, C. (2015). What I see is not quite the way it is: Students’ emergent reasoning about sampling variability? Educational Studies in Mathematics, 88(3), 343–360.
Pfannkuch, M., & Horring, J. (2005). Developing statistical thinking in a secondary school: A collaborative curriculum development. In G. Burrill & M. Camden (Eds.), Curricular development in statistics education: International Association for Statistics Education (pp. 204–218). International Statistics Institute.
Ubilla, F., Gorgorió, N., & Prat, M. (2019). The investigative cycle: developing a model to interpret the written statistical reports of pre-service primary school teachers. In U. T. Jankvist, M. Van den Heuvel-Panhuizen & M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (pp. 1093–1100). Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.
Vásquez, C., & Alsina, A. (2017). Aproximación al conocimiento común del contenido para enseñar probabilidad desde el modelo del conocimiento didáctico-matemático. [Approach to the common contentknowledge to teach probability from the didactic-mathematical knowledge model] Educación Matemática, 29(3), 79–108.
Vásquez, C., & Alsina, A. (2019). Conocimiento especializado del profesorado de educación básica para la enseñanza de la probabilidad. [Specialized content knowledge of basic education teachers for the teaching of probability] Profesorado, Revista de Currículum y Formación del Profesorado, 23(1), 393–419.
Watson, J., Fitzallen, N., Fielding-Wells, J., & Madden, S. (2018). The practice of statistics. In D. Ben-Zvi, K. Makar, & J. Garfield (Eds.), International handbook of research in statistics education (pp. 105–137). Springer.
Wild, C., & Pfannkuch, M. (1999). Statistical thinking in empirical enquiry. International Statistical Review, 67(3), 223–248.
