Algebraization Levels of Activities Linked to Statistical Tables in Spanish Secondary Textbooks

  1. Pallauta, Jocelyn
  2. Gea, María
  3. Batanero, Carmen
  4. Arteaga, Pedro 1
  1. 1 Universidad de Granada
    info

    Universidad de Granada

    Granada, España

    ROR https://ror.org/04njjy449

Libro:
Advances in Mathematics Education

ISSN: 1869-4918 1869-4926

ISBN: 9783031294587 9783031294594

Año de publicación: 2023

Páginas: 317-339

Tipo: Capítulo de Libro

DOI: 10.1007/978-3-031-29459-4_23 GOOGLE SCHOLAR lock_openAcceso abierto editor

Referencias bibliográficas

  • Aké, L. P., & Díaz Godino, J. (2018). Análisis de tareas de un libro de texto de primaria desde la perspectiva de los niveles de algebrización (Task analysis of an elementary school textbook from the algebraization levels perspective). Educación Matemática, 30(2), 171–201. https://doi.org/10.24844/EM3002.07
  • Alkhateeb, M. (2019). The language used in the 8th grade mathematics textbook. Eurasia Journal of Mathematics, Science and Technology Education, 15(7), 3–13. https://doi.org/10.29333/ejmste/106111
  • Burgess, T. (2002). Investigating the “data sense” of preservice teachers. In B. Phillips (Ed.), Proceedings of the 6th international conference on teaching statistics (pp. 1–6). International Association for Statistics Education.
  • Burgos, M., Batanero, C., & Godino, J. D. (2022). Algebraization levels in the study of probability. Mathematics, 10(1), 91. https://doi.org/10.3390/math10010091
  • Common Core State Standards Initiative. (CCSSI). (2010). Common core state standards for mathematics. National Governors Association for Best Practices and the Council of Chief State School Officers.
  • Díaz-Levicoy, D., Morales, R., & López-Martín, M. M. (2015). Tablas estadísticas en libros de texto chilenos de 1° y 2° año de Educación Primaria (Statistical tables in textbook Chilean 1st and 2nd grade of primary school). Revista Paranaense de Educação Matemática, 4(7), 10–39. https://doi.org/10.33871/22385800.2015.4.7.10-39
  • Díaz-Levicoy, D., Morales, R., Arteaga, P., & López-Martín, M. M. (2020). Conocimiento sobre tablas estadísticas por estudiantes chilenos de tercer año de Educación Primaria (Knowledge of statistical tables by Chilean students third year of primary education). Educación Matemática, 32(2), 247–277. https://doi.org/10.24844/EM3202.10
  • Duval, R. (2003). Comment analyser le fonctionnement représentationnel des tableaux et leur diversité? (How to analyse the representational functioning of the tables and their diversity?). Spirale-Revue de recherches en éducation, 32(32), 7–31. https://doi.org/10.3406/spira.2003.1377
  • Engel, J., Ridgway, J., & Weber, F. (2021). Educación estadística, democracia y empoderamiento de los ciudadanos (Statistics education, democracy and citizen’s empowerment). Paradigma, 42(Extra-1), 1–31. https://doi.org/10.37618/PARADIGMA.1011-2251.2021.p01-31.id1016
  • Estrella, S. (2014). El formato tabular: una revisión de literatura (Tabular format: a review of literature). Revista Actualidades Investigativas en Educación, 14(2), 1–23. https://doi.org/10.15517/AIE.V14I2.14817
  • Estrella, S., Mena-Lorca, A., & Olfos-Ayarza, R. (2017). Naturaleza del objeto matemático Tabla (Nature of the mathematical object table). MAGIS, 10(20), 105–122. https://doi.org/10.11144/Javeriana.m10-20.nomt
  • Evangelista, B., & Guimarães, G. (2019). Análise de atividades sobre tabelas em livros didáticos brasileiros dos anos iniciais do ensino fundamental (Analysis of activities about tables in the primary school Brazilian textbooks). In J. M. Contreras, M. M. Gea, M. M. López-Martín, & E. Molina-Portillo (Eds.), Actas del Tercer Congreso Internacional Virtual de Educación Estadística. www.ugr.es/local/fqm126/civeest.html
  • Fan, L., Zhu, Y., & Miao, Z. (2013). Textbook research in mathematics education: Development status and directions. Zentralblatt für Didaktik der Mathematik, 45(5), 633–646. https://doi.org/10.1007/s11858-013-0539-x
  • Feinberg, R., & Wainer, H. (2011). Extracting sunbeams from cucumbers. Journal of Computational and Graphical Statistics, 20(4), 793–810. https://doi.org/10.1198/jcgs.2011.204a
  • Gabucio, F., Martí, E., Enfedaque, J., Gilabert, S., & Konstantinidou, A. (2010). Niveles de comprensión de las tablas en alumnos de primaria y secundaria (Levels of graph comprehension in primary and secondary school students). Cultura y Educación, 22(2), 183–197. https://doi.org/10.1174/113564010791304528
  • Gal, I. (2002). Adults’ statistical literacy: Meanings, components, responsibilities. International Statistical Review, 70(1), 1–25. https://doi.org/10.1111/j.1751-5823.2002.tb00336.x
  • García-García, J., Díaz-Levicoy, D., Vidal, H., & Arredondo, E. (2019). Las tablas estadísticas en libros de texto de educación primaria en México (Statistical tables in primary education textbooks in Mexico). Paradigma, 40(2), 153–175. https://doi.org/10.37618/PARADIGMA.1011-2251.2019.p153-175.id754
  • Gea, M., Batanero, C., Fernandes, J., & Arteaga, P. (2016). Interpretación de resúmenes estadísticos por futuros profesores de educación secundaria (Interpretation of summaries on statistics addressed to prospective teachers in middle school). REDIMAT, 5(2), 135–157. https://doi.org/10.17583/redimat.2016.1902
  • Godino, J., Aké, L., Gonzato, M., & Wilhelmi, M. (2014). Niveles de algebrización de la actividad matemática escolar. Implicaciones para la formación de maestros (Algebrization levels of school mathematics activity. Implication for primary school teacher education). Enseñanza de las Ciencias, 32(1), 199–219. https://doi.org/10.5565/rev/ensciencias.965
  • Godino, J., Neto, T., Wilhelmi, M., Aké, L., Etchegaray, S., & Lasa, A. (2015a). Niveles de algebrización de las prácticas matemáticas escolares. Articulación de las perspectivas ontosemiótica y antropológica (Algebrization levels of school mathematics practices. Networking of the Onto-semiotic and Anthropological perspectives). Avances de Investigación en Educación Matemática, 8, 117–142. https://doi.org/10.35763/aiem.v1i8.105
  • Godino, J. D., Neto, T., Wilhelmi, M. R., Aké, L., Etchegaray, S., & Lasa, A. (2015b). Algebraic reasoning levels in primary and secondary education. In K. Krainer & N. Vondrová (Eds.), Proceedings of the ninth congress of the European society for research in mathematics education (CERME 9) (pp. 426–432). ERME.
  • Herbel-Eisenmann, B. A. (2007). From intended curriculum to written curriculum: Examining the voice of a mathematics textbook. Journal for Research in Mathematics Education, 38(4), 344–369. https://doi.org/10.2307/30034878
  • Koschat, M. (2005). A case for simple tables. The American Statistician, 59(1), 31–40. https://doi.org/10.1198/000313005X21429
  • Lahanier-Reuter, D. (2003). Différents types de tableaux dans l’enseignement des statistiques (Different types of tables in statistics education). Spirale-Revue de recherches en éducation, 32(32), 143–154. https://doi.org/10.3406/spira.2003.1386
  • Martí, E. (2009). Tables as cognitive tools in primary education. In C. Andersen, N. Scheuer, M. P. Pérez Echeverría, & E. Teubal (Eds.), Representational systems and practices as learning tools in different fields of learning (pp. 133–148). Sense Publishers. https://doi.org/10.1163/9789087905286_009
  • MECD. (2014). Real Decreto 126/2014, de 28 de febrero, por el que se establece el currículo básico de la educación primaria (Royal Decree 126/2014, 28th February, establishing the basic curriculum guidelines for primary education). Ministerio de Educación, Cultura y Deportes.
  • MECD. (2015). Real Decreto 1105/2014, de 26 de diciembre, por el que se establece el currículo básico de la Educación Secundaria Obligatoria y del Bachillerato (Royal Decree 1105/2014, 26th December, establishing the basic curriculum guidelines for Compulsory Secondary Education and High school). Ministerio de Educación, Cultura y Deportes.
  • National Council of Teachers of Mathematics (NCTM). (2014). Principles to actions: Ensuring mathematical success for all. NCTM.
  • Neuendorf, K. (2016). The content analysis guidebook. Sage.
  • Pallauta, J., Arteaga, P., & Garzón-Guerrero, J. A. (2021a). Secondary school students’ construction and interpretation of statistical tables. Mathematics, 9(24), 3197. https://doi.org/10.3390/math9243197
  • Pallauta, J., Gea, M. M., & Arteaga, P. (2021b). Caracterización de las tareas propuestas sobre tablas estadísticas en libros de texto chilenos de educación básica (Characterization of tasks related to statistical tables in chilean basic education textbooks). Paradigma, 40(1), 32–60. https://doi.org/10.37618/PARADIGMA.1011-2251.2021.p32-60.id1017
  • Pallauta, J., Gea, M. M., Batanero, C., & Arteaga, P. (2021c). Significado de la tabla estadística en libros de texto españoles de educación secundaria (Meaning of the statistical table in Spanish secondary education textbooks). Bolema: Boletim de Educação Matemática, 35, 1803–1824. https://doi.org/10.1590/1980-4415v35n71a26
  • Radford, L. (2011). Grade 2 students‘ non-symbolic algebraic thinking. In J. Cai & E. Knuth (Eds.), Early algebraization (Advances in mathematics education) (pp. 303–322). SpringerVerlag.
  • 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
  • Watson, J. M. (2013). Statistical literacy at school: Growth and goals. Routledge. https://doi.org/10.4324/9780203053898
  • Weiland, T. (2019). The contextualized situations constructed for the use of statistics by school mathematics textbooks. Statistics Education Research Journal, 18(2), 18–38. https://doi.org/10.52041/serj.v18i2.13