Developing University Students’ Statistical Reasoning via a Research-informed Course
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https://doi.org/10.52296/vje.2024.362-
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Abstract
Statistical reasoning (SR) is an essential skill for students in studying statistics. This study aims to develop SR for university students through an appropriately designed course in statistics. Employing a quasi-experimental design, this study evaluated students' SR changes as they participated in a research-informed statistics course, designed to integrate statistical reasoning. The results showed that the course helps students improve their SR, with their scores increased by 23% from the pre-test to the post-test. Specifically, the SR scores on measures of central tendency of the experimental class increased by 8%; while the SR scores on the measures of variability of the experimental class increased by 34%. Suggestions about curriculum and teaching are included, such as offering opportunities for statistical investigations with real data; going deeper into building and understanding formulas; and training lecturers to teach statistics using approaches that are different from traditional teaching methods, as well as evaluating students' statistical learning with reliable tools.
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Ben-Zvi, D., Gravemeijer, K., & Ainley, J. (2018). Design of statistics learning environments. International Handbook of Research in Statistics Education, 473-502. https://doi.org/10.1007/978-3-319-66195-7_16
Chance, B. L. (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
delMas, R. C. (2004). A comparison of mathematical and statistical reasoning. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning, and thinking (pp. 79-96). Kluwer Academic Publishers. https://doi.org/10.1007/1-4020-2278-6_4
delMas, R., Garfield, J., Ooms, A., & Chance, B. (2007). Assessing students’ conceptual understanding after a first course in statistics. Statistics Education Research Journal, 6 (2), 28-58. https://doi.org/10.52041/serj.v6i2.483
Garfield, J. (2002, November). The challenge of developing statistical reasoning. Journal of Statistics Education, 10(3). https://doi.org/10.1080/10691898.2002.11910676
Garfield, J., & Ben-Zvi, D. (2008). Preparing school teachers to develop students’ statistical reasoning. In C. Batanero, G. Burrill, C. Reading, and A. Rossman (Eds.), Proceedings of the Joint ICMI/IASE Study on Statistics Education in School Mathematics: Challenges for Teaching and Teacher Education, Monterrey, Mexico: ITESM. https://doi.org/10.13140/2.1.3452.5765
Garfield, J., & Franklin, C. (2011). Assessment of learning, for learning, and as learning in statistics education. Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education: A Joint ICMI/IASE Study: The 18th ICMI Study, 133-145. https://doi.org/10.1007/978-94-007-1131-0
Giraud, G. (1997). Cooperative learning and statistics instruction. Journal of Statistics Education, 5(3). https://doi.org/10.1080/10691898.2008.11889557
Hoang, L. M. (2021). Rèn luyện hiểu biết thống kê, suy luận thống kê và tư duy thống kê cho học sinh trung học phổ thông [Training statistical literacy, statistical reasoning and statistical thinking for high school students]. Vietnam Journal of Education Science, 47, 24-28.
Keeler, C. M., & Steinhorst, R. K. (1995, July). Using small groups to promote active learning in the introductory statistics course: A report from the field. Journal of Statistics Education, 3(2). https://doi.org/10.1080/10691898.1995.11910485
Konold, C. (1989). Informal conceptions of probability. Cognition and Instruction, 6, 59-98. http://dx.doi.org/10.1207/s1532690xci0601_3
Konold, C., Pollatsek, A., Well, A. D., & Gagnon, A. (1997). Students analyzing data: Research of critical barriers. In J. Garfield & G. Burrill (Eds.), Research on the role of technology in teaching and learning statistics (pp. 151-168). International Statistical Institute.
Lee, C., Zeleke, A., & Wachtel, H. (2002). Where do students get lost? The concept of variation. In B. Phillips (Ed.), Developing a statistically literate society: Proceedings of the sixth international conference on the teaching of statistics (ICOTS-6), Cape Town, South Africa, [CD-ROM]. Voorburg, The Netherlands: International Statistical Institute.
Magel, R. C. (1998, November). Using cooperative learning in a large introductory statistics class. Journal of Statistics Education, 6(3).
Meletiou, M., & Lee, C. (2002, December). Teaching students the stochastic nature of statistical concepts in an introductory statistics course. Statistics Education Research Journal, 1(2), 22-37. http://dx.doi.org/10.52041/
serj.v1i2.563
Nguyen, D. N., Vu, T. N (2015). Năng lực suy luận thống kê của học sinh trung học phổ thông [Statistical reasoning ability of high school students]. Vietnam Journal of Education, Special Issue of May, 162-165.
Nguyen, T. D., & Tran, D. (2023). High school mathematics teachers’ changes in belief and knowledge during lesson study. Journal of Mathematics Teacher Education, 26, 809-834. https://doi.org/10.1007/s10857-022-09547-2
Noll, J. (2007). Statistics teaching assistants’ statistical content knowledge and pedagogical content knowledge. Unpublished doctoral dissertation, Portland State University, Portland, OR.
Pham, T. Q., Tran, T. (2023). Phát triển năng lực suy luận thống kê cho học sinh trung học phổ thông qua các bài toán có nội dung thực tiễn [Developing statistical reasoning ability for high school students through problems with practical content]. Vietnam Journal of Education, 23(6), 1-6.
Pratt, D., Davies, N., & Connor, D. (2011). The role of technology in teaching and learning statistics. Teaching statistics in school mathematics-challenges for teaching and teacher education: A Joint ICMI/IASE Study: The 18th ICMI Study, 97-107. http://dx.doi.org/10.1007/978-94-007-1131-0_13
Sabbag, A., Garfield, J. and Zieffler, A. (2017). Assessing statistical literacy and statistical reasoning: the REALI instrument. Statistics Education Research Journal, 17(2), 141-160. http://dx.doi.org/10.52041/serj.v17i2.163
Scheaffer, R. L. (2007). Using statistics effectively in mathematics education research: A report from a series of workshops organized by the American Statistical Association with funding from the National Science Foundation. The American Statistical Association.
Slauson, L. (2008). Students’ conceptual understanding of variability. Unpublished Doctoral Dissertation, The Ohio State University.
Tran D., & Tarr, E. J. (2018). Examination of bivariate data tasks in US high school textbooks through the statistical investigation and cognitive demands frameworks. International Journal of Science and Mathematics Education, 16, 1581-1603. https://doi.org/10.1007/s10763-017-9851-1
Tran, D. & O’Connor, B. (2023, online first). Teacher curriculum competence: What is it? Journal of Curriculum Studies. https://doi.org/10.1080/00220272.2023.2271541
Tran, D., Nguyen, A., Nguyen, D., Ta, P., Huynh, B., Phan, P., Pham, N., & Nguyen, N. (2023a). Changes in lesson plans as teachers participate in a professional development on statistical literacy. International Journal of Learning, Teaching and Educational Research, 22(5), 281-301. https://doi.org/10.26803/ijlter.22.5.14
Tran, D., Nguyen, A., Nguyen, D., Ta, P., Huynh, B., Phan, P., Pham, N., & Nguyen, N. (2023b). Assessing lesson plans for developing students’ statistical literacy: a research-informed framework. Vietnam Journal of Education, 7(2), 74¬-81. https://doi.org/10.52296/vje.2023.227
Tran, D., Reys, B., Teuscher, D., Dingman, S., & Kasmer, L. (2016). Curriculum Standards Analysis: An important research area. Journal for Research in Mathematics Education, 47(2), 118¬-133. http://dx.doi.org/10.5951/jresematheduc.47.2.0118
Tran, T. H. (2017). Phát triển hiểu biết, suy luận, tư duy thống kê của sinh viên y dược trong ước lượng khoảng tin cậy [Developing statistical literacy, statistical reasoning, and statistical thinking of medical and pharmaceutical students in estimating confidence intervals]. Journal of Science, Hue University, 126(6), 45-56.
Wild, C. J., Triggs, C., & Pfannkuch, M. (1997). Assessment on a budget: Using traditional methods imaginatively. In I. Gal & J. B. Garfield (Eds.), The assessment challenge in statistics education. IOS Press.
Zieffler, S. A. (2006). A longitudinal investigation of the development of college students’ reasoning about bivariate data during an introductory statistics course. Unpublished Ph.D. Thesis, University of Minnesota.
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