Keywords
Technology
Statistical Sense
Attitudes towards Statistics
Teacher Knowledge
Education
Statistics
Aprendizaje activo
Tecnología
Sentido estadístico
Actitudes hacia la Estadística
Conocimiento del profesorado
Educación
Estadística
How to Cite
Abstract
Statistics has become an important field during the information age since it is used as a data analysis and interpretation tool. Statistics Education is considered to be a new and emerging discipline. A bibliographic review was conducted to probe about existing scientific research related to the teaching of Statistics from 2010 -2019 that have been applied in the classroom. First, a search for indexed journals was performed on two databases - Scopus and EBSCO. A code was assigned to each of the documents found in the search which were then classified according to five categories: Statistical Sense, Use of Technology, Attitude towards Statistics. Teacher Knowledge and Active Learning. The bibliographic review revealed that there is a need to improve statistical literacy, reasoning and thought in the classroom through activities that tap into technology, active learning and teacher Statistics knowledge. Disciplinary and pedagogical insight is required to foster a positive attitude among students towards Statistics. This systematization effort will encourage critical reflection on how to teach this subject matter and foster satisfactory Statistical training among students.
References
Cómo citar
Zamora-Araya, J. A., Aguilar-Fernández, E. y Guillén-Oviedo, H. S. (2022). Educación Estadística: tendencias para su enseñanza y aprendizaje en educación secundaria y terciaria. Revista Educación, 46(1). http://doi.org/10.15517/revedu.v46i1.43494
Referencias
Aliaga, M., Cobb, G., Cuff, C., Garfield, J., Gould, R., Lock, R., Moore, T, Rossman, A., Stephenson, B., Utts, J., Velleman, P y Witmer, J. (2005). Guidelines for assessment and instruction in statistics education (GAISE): College report. American Statistical Association. https://www.amstat.org/asa/files/pdfs/GAISE/2005GaiseCollege_Full.pdf
Barrera, D. A. y López, N. D. L. (2019). Las aulas virtuales en el proceso de enseñanza y aprendizaje de la estadística. Revista Científica, 2(35), 183–191. https://doi.org/10.14483/23448350.14368
Batanero, C. (2000). ¿Hacia dónde va la educación estadı́stica? Blaix, 15, 2-13. https://www.ugr.es/~batanero/pages/ARTICULOS/BLAIX.pdf
Batanero, C. (2004). Los retos de la cultura estadística. Yupana. Revista de Educación Matemática de la UNL, 1, 27–36. https://www.ugr.es/~batanero/pages/ARTICULOS/CULTURA.pdf
Batanero, C., Dı́az, C., Contreras, J. M. y Roa, R. (2013). El sentido estadístico y su desarrollo. Números. Revista de Didáctica de las Matemáticas, 83, 7–18. http://www.sinewton.org/numeros/numeros/83/Monografico_01.pdf
Ben-Zvi, D. y Garfield, J. (2008). Introducing the emerging discipline of statistics education. School Science and Mathematics, 108(8), 355–361. https://doi.org/10.1111/j.1949-8594.2008.tb17850.x
Bonnett, L. J. y White, S. R. (2018). May the odds be ever in your favour. Teaching Statistics, 40(3), 94–97. https://doi.org/10.1111/test.12162
Bonwell, C. C. y Eison, J. A. (1991). Active learning: Creating excitement in the classroom. 1991 ASHE-ERIC higher education reports. https://files.eric.ed.gov/fulltext/ED336049.pdf
Brisbin, A. y Maranhao, E. (2019). Reading versus doing: Methods of teaching problem-solving in introductory statistics. Journal of Statistics Education, 27(3), 154–170. https://doi.org/10.1080/10691898.2019.1637801
Brown, K. M. (2019). More questions and fewer contexts: Designing exercises for statistics courses. Journal of Statistics Education, 27(3), 216–224. https://doi.org/10.1080/10691898.2019.1669508
Carver, R., Everson, M., Gabrosek, J., Horton, N., Lock, R., Mocko, M., Rossman, A., Roswell, G. H., Velleman, P., Witmer, J. y Wood, B. (2016). Guidelines for assessment and instruction in statistics education (GAISE) college report 2016. https://commons.erau.edu/publication/1083
Chance, B., Ben-Zvi, D., Garfield, J. y Medina, E. (2007). The role of technology in improving student learning of statistics. Technology Innovations in Statistics Education, 1(1). https://escholarship.org/uc/item/8sd2t4rr
Coetzee, S. y Merwe, P. V. D. (2010). Industrial psychology students’ attitudes towards statistics. SA Journal of Industrial Psychology, 36(1), 1–8. https://hdl.handle.net/10520/EJC89212
delMas, R. C. (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). Kluwer Academic Publishers. https://doi.org/10.1007/1-4020-2278-6_4
de Oliveira A. P., Rosental, P., Azevedo, L. y Costa, T. (2018). Student’s attitudes towards probability and statistics and academic achievement on higher education. Acta Didactica Napocensia, 11(2), 43–56. https://doi.org/10.24193/adn.11.2.4
Dunn, P. K., Carey, M. D., Richardson, A. M. y McDonald, C. (2016). Learning the language of statistics: Challenges and teaching approaches. Statistics Education Research Journal, 15(1), 8–27. http://iase-web.org/documents/SERJ/SERJ15(1)_Dunn.pdf
Estrada, A., Batanero, C. y Lancaster, S. (2011). Teachers’ attitudes towards statistics. En C. Batanero, G. Burrill y C. Reading (Eds.) Teaching statistics in school mathematics-challenges for teaching and teacher education (pp. 163–174). Springer. https://doi.org/10.1007/978-94-007-1131-0_18
Estrada, M. A. (2002). Análisis de las actitudes y conocimientos estadísticos elementales en la formación del profesorado [tesis de doctorado inédita]. Universitat Autònoma de Barcelona. http://hdl.handle.net/10803/4697
Faustino, A. y Pérez, L. S. (2013). Utilización de las TIC en la enseñanza de la estadı́stica en la educación superior angolana. Prisma Social, (11), 0–31. https://www.redalyc.org/articulo.oa?id=353744535001
Franklin, C., Kader, G., Mewborn, D., Moreno, J., Peck, R., Perry, M. y Scheaffer, R. (2007). Guidelines for assessment and instruction in statistics education (GAISE) report: a pre-k–12 curriculum framework. American Statistical Association. https://www.amstat.org/asa/files/pdfs/gaise/gaiseprek-12_full.pdf
Freeman, S., Eddy, S. L., McDonough, M., Smith, M. K., Okoroafor, N., Jordt, H. y Wenderoth, M. P. (2014). Active learning increases student performance in science, engineering, and mathematics. Proceedings of the National Academy of Sciences, 111(23), 8410–8415. https://doi.org/10.1073/pnas.1319030111
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. http://redie.uabc.mx/vol13no2/contenido-frizsanhueza.html
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
Gal, I. y Ginsburg, L. (1994). The role of beliefs and attitudes in learning statistics: Towards an assessment framework. Journal of Statistics Education, 2(2). https://doi.org/10.1080/10691898.1994.11910471
Gal, I., Ginsburg, L. y Schau, C. (1997). Monitoring attitudes and beliefs in statistics education. En I. Gal y J. B. Garfield (Eds.) The Assessment Challenge in Statistics Education (pp. 37–51). IOS Press. https://www.stat.auckland.ac.nz/~iase/publications/assessbk/chapter04.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 Ben-Zvi, D. (2008). Developing students’ statistical reasoning: Connecting research and teaching practice. Springer Science & Business Media.
Garfield, J. y Gal, I. (1999). Teaching and assessing statistical reasoning. Developing Mathematical Reasoning in Grades K-12, 207–219. http://apps3.cehd.umn.edu/artist/articles/Garfield01.pdf
Godino, J. D., Batanero, C. y Font, V. (2007). The onto-semiotic approach to research in mathematics education. Zdm, 39(1), 127–135. https://doi.org/10.1007/s11858-006-0004-1
Groth, R. E. (2013). Characterizing key developmental understandings and pedagogically powerful ideas within a statistical knowledge for teaching framework. Mathematical Thinking and Learning, 15(2), 121–145. https://doi.org/10.1080/10986065.2013.770718
Groth, R. E. (2017). Developing statistical knowledge for teaching during design-based research. Statistics Education Research Journal, 16(2). https://iase-web.org/documents/SERJ/SERJ16(2)_Groth.pdf
Haines, B. (2015). Conceptualizing a framework for advanced placement statistics teaching knowledge. Journal of Statistics Education, 23(3). https://doi.org/10.1080/10691898.2015.11889747
Harrell, L. M., Sorto, M. A., Pierce, R. L., Lesser, L. M. y Murphy, T. J. (2014). Validation of scores from a new measure of preservice teachers’ self-efficacy to teach statistics in the middle grades. Journal of Psychoeducational Assessment, 32(1), 40–50. https://doi.org/10.1177/0734282913486256
Huey, M. E., Champion, J., Casey, S. y Wasserman, N. H. (2018). Secondary mathematics teachers’ planned approaches for teaching standard deviation. Statistics Education Research Journal 17(1), 61-84. https://iase-web.org/documents/SERJ/SERJ17(1)_Huey.pdf?1526485267
Jones, R. C. (2018). Statistical investigation measuring intelligence and creativity. Teaching Statistics, 41(1), 36–40. https://doi.org/10.1111/test.12169
Kaplan, D. (2018). Teaching stats for data science. The American Statistician, 72(1), 89–96. https://doi.org/10.1080/00031305.2017.1398107
Kulkarni, S. S., Mai, B., Amirkiaee, S. Y. y Tarakci, H. (2019). Dynamic interactive visualizations: Implications of seeing, doing, and playing for quantitative analysis pedagogy. INFORMS Transactions on Education, 19(3), 121–142. https://doi.org/10.1287/ited.2018.0203
Leavy, A. (2006). Using data comparisons to support a focus on distribution: Examining preservice teachers’ understandings of distribution when engaged in statistical inquiry. Statistics Education Research Journal, 5(2), 27–45. http://iase-web.org/documents/SERJ/SERJ5(2)_Leavy.pdf
Liu, Z. (2017). Teaching reform of business statistics in college and university. EURASIA Journal of Mathematics, Science and Technology Education, 13(10), 6901–6907. https://doi.org/10.12973/ejmste/78537
Loewenberg, D., Thames, M. H. y Phelps, G. (2008). Content knowledge for teaching: What makes it special. Journal of Teacher Education, 59(5), 389–407. https://doi.org/10.1177/0022487108324554
Lyford, A., Rahr, T., Chen, T. y Kovach, B. (2019). Using camels to teach probability and expected value. Teaching Statistics, 41(1), 18–24. https://doi.org/10.1111/test.12176
McGee, M., Stokes, L. y Nadolsky, P. (2016). Just-in-time teaching in statistics classrooms. Journal of Statistics Education, 24(1), 16–26. https://doi.org/10.1080/10691898.2016.1158023
Miranda, S. (2018). Using shiny to illustrate the probability density function concept. Teaching Statistics, 41(1), 30–35. https://doi.org/10.1111/test.12176
Moore, D. S. (1997). New pedagogy and new content: The case of statistics. International Statistical Review, 65(2), 123–137. https://doi.org/10.1111/j.1751-5823.1997.tb00390.x
Moreira, M. P. y Samá, S. (2014). Teaching statistics through learning projects. Statistics Education Research Journal, 13(2). https://iase-web.org/documents/SERJ/SERJ13(2)_daSilva.pdf
Nielsen, T. y Kreiner, S. (2018). Measuring statistical anxiety and attitudes toward statistics: The development of a comprehensive danish instrument (HFS-r). Cogent Education, 5(1), 1521574. https://doi.org/10.1080/2331186X.2018.1521574
Obregón, O. y Flores, D. M. C. (2019). Diseño instruccional de una plataforma educativa para la formación de conceptos en la enseñanza-aprendizaje de la asignatura de estadística. Revista Internacional de Tecnologías en la Educación, 6(1), 9–21. https://conferences.eagora.org/index.php/educacion-y-aprendizaje/2017/paper/view/2952/0
Odom, A. L. y Bell, C. V. (2017). Developing PK-12 preservice teachers’ skills for understanding data-driven instruction through inquiry learning. Journal of Statistics Education, 25(1), 29–37. https://doi.org/10.1080/10691898.2017.1288557
Ordóñez, C. X. G., Romero, S. J. y Ruiz, C. (2019). Actitudes hacia la estadística en alumnos de educación: Análisis de perfiles. Revista de Educación, 385, 173–200. https://doi.org/10.4438/1988-592X-RE-2019-385-421
Page, M. (1990). Active learning: Historical and contemporary perspectives. https://files.eric.ed.gov/fulltext/ED338389.pdf
Peters, P., Smith, A., Middledorp, J., Karpin, A., Sin, S. y Kilgore, A. (2014). Learning essential terms and concepts in statistics and accounting. Higher Education Research & Development, 33(4), 742–756. https://doi.org/10.1080/07294360.2013.863838
Pfannkuch, M. (2006). Comparing box plot distributions: A teacher’s reasoning. Statistics Education Research Journal, 5(2), 27–45. https://iase-web.org/documents/SERJ/SERJ5(2)_Pfannkuch.pdf
Roberts, D. M. y Bilderback, E. W. (1980). Reliability and validity of a statistics attitude survey. Educational and Psychological Measurement, 40(1), 235–238. http://www.personal.psu.edu/users/d/m/dmr/papers/statatt003.pdf
Rodríguez, J. y Gil, J. (2019). Actitudes hacia la estadística en estudiantes de ciencias de la educación: Propiedades psicométricas de la versión española del survey of attitudes toward statistics (SATS-36). Relieve, 25(1), 1-17. https://doi.org/10.7203/relieve.25.1.12676
Rodríguez, J. L. Á. y Sánchez, M. (2016). Using context variety and students’ discussions in recognizing statistical situations. Teaching Statistics, 38(1), 22–24. https://doi.org/10.1111/test.12086
Rodríguez-Alveal, F. E. (2017). Alfabetización estadística en profesores de distintos niveles formativos. Educação & Realidade, 42(4). https://doi.org/10.1590/2175-623662610
Ruggieri, E. (2019). Statistics in the world around us–a group project for an introductory statistics course. Universal Journal of Educational Research, 7(4), 1061–1073.
Sánchez, E. A. y Gómez, A. L. (2015). La negociación de significado como proceso de aprendizaje: El caso de un programa de desarrollo profesional en la enseñanza de la estadística. Revista Latinoamericana de Investigación en Matemática Educativa, RELIME, 18(3), 387–419.
Schau, C., Stevens, J., Dauphinee, T. L. y Vecchio, A. D. (1995). The development and validation of the survey of attitudes toward statistics. Educational and Psychological Measurement, 55(5), 868–875. https://doi.org/10.1177/0013164495055005022
Schoenfeld, A. H. y Kilpatrick, J. (2008). Toward a theory of proficiency in teaching mathematics. En D. Tirosh y T. Wood (Eds.) International handbook of mathematics teacher education (Vol. 2, pp. 321–354). Sense Publishers. https://bit.ly/2VwH4zR
Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14. https://doi.org/10.3102/0013189X015002004
Stemock, B. y Kerns, L. (2019). Use of commercial and free software for teaching statistics. Statistics Education Research Journal, 18(2). https://eric.ed.gov/?id=EJ1235433
Strayer, J. F., Gerstenschlager, N. E., Green, L. B., Mccormick, N., McDaniel, S. y Rowell, G. H. (2019). Toward a full (er) implementation of active learning. Statistics Education Research Journal, 18(1). http://iase-web.org/documents/SERJ/SERJ18(1)_Strayer.pdf
Theobald, E. J., Hill, M. J., Tran, E., Agrawal, S., Arroyo, E. N., Behling, S., Chambwe, N., Cintrón, D. L., Cooper, J. D., Dunster, G., Grummer, J. A., Hennessey, K., Hsiao, J., Iranon, N., Jones, L., 2nd, Jordt, H., Keller, M., Lacey, M. E., … Freeman, S. (2020). Active learning narrows achievement gaps for underrepresented students in undergraduate science, technology, engineering, and math. Proceedings of the National Academy of Sciences, 117(12), 6476–6483. https://doi.org/10.1073/pnas.1916903117
van Appel, V. y Durandt, R. (2018). Dissimilarities in attitudes between students in service and mainstream courses towards statistics: An analysis conducted in a developing country. EURASIA Journal of Mathematics, Science and Technology Education, 14(8), em1565. https://doi.org/10.29333/ejmste/91912
Weiland, T. (2016). The importance of context in task selection. Teaching Statistics, 39(1), 20–25. https://doi.org/10.1111/test.12116
White, D. (2014). Active learning and threshold concepts in multiple testing that can further develop student critical statistical thinking. Teaching Statistics, 37(2), 48–53. https://doi.org/10.1111/test.12069
Wild, C. J. y Pfannkuch, M. (1999). Statistical thinking in empirical enquiry. International Statistical Review, 67(3), 223–248. https://doi.org/10.1111/j.1751-5823.1999.tb00442.x
Wise, S. L. (1985). The development and validation of a scale measuring attitudes toward statistics. Educational and Psychological Measurement, 45(2), 401–405. https://doi.org/10.1177/001316448504500226
Zamora-Araya, J. A. (2020). Las actitudes hacia la matemática, el desarrollo social, el nivel educativo de la madre y la autoeficacia como factores asociados al rendimiento académico en la matemática. Uniciencia, 34(1), 74–87. https://doi.org/10.15359/ru.34-1.5
Zapatero, E. y Serrano, E. (2017). Herramientas de tecnologías de la información aplicadas a la innovación didáctica de la estadística: Una propuesta interdisciplinar e interniveles de secundaria y universidad. Memorias de la Décima Sexta Conferencia Iberoamericana en Sistemas, Cibernética e Informática (CISCI 2017). Orlando, Estados Unidos. http://www.iiis.org/CDs2017/CD2017Summer/papers/CA938TN.pdf