The Use of Statistical Investigation in Assessing Students' Performance in Statistics
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Keywords:Statistical Reasoning, Statistical investigation, GAISE framework, statistical understanding, statistical performance
AbstractThe implementation of the K to 12 curricula brought changes in the Philippine Educational system. Among these is the inclusion of Statistics in the curriculum from preschool to Grade 11 of the Science, Technology, Engineering and Mathematics (STEM) track. The purpose of this action research is to develop an understanding of students’ statistical thinking in order to help teachers improve their practice of teaching Statistics. Students’ level of statistical understanding and performance were mapped based on the Guidelines for Assessment and Instruction in Statistics Education (GAISE) framework. Each of the 11 groups of Grade 10 students performed a statistical investigation using different worksheets as their guide. The instruments used were observation field notes, students’ written reports, achievement test results, and interviews. Findings show a majority of students had low level of statistical understanding and performance. Students had difficulty in formulating research questions, used survey as the only means of collecting data, and had limited presentation of results and interpretation. The teacher's role was crucial in the development of students' understanding. The challenges and the merits gained from the experience served as motivation to the teacher-researcher to continue and improve the use of statistical investigation in the teaching practice.
Ben-Zvi, D., & Garfield, J. B. (Eds.) (2004). The challenge of developing statistical literacy, reasoning, and thinking. Dordrecht, the Netherlands: Kluwer Academic Publishers.
Cobb, G.W., & Moore, D.S. (1997). Mathematics, statistics and teaching. American Mathematical Monthly, 104(9), 801-821.
Franklin, C. A., & Garfield, J. B. (2006). The GAISE project: Developing statistics education guidelines for grades pre-K-12 and college courses. In G. F. Burrill & P. C. Elliott (Eds.). Thinking and Reasoning with Data and Chance (pp. 345-376). Reston, VA: National Council of Teachers of Mathematics.
Garfield, J.B., & Ben-Zvi, D. (2008). Developing students’ statistical reasoning: Connecting research and teaching practice. New York: Springer.
Halvorsen, K.T. (2010). Formulating statistical questions and implementing statistics projects in an introductory applied statistics course. Proceedings of the 8th International Conference on Teaching Statistics, 8. Retrieved from http://iase-web.org/documents/papers/icots8/ICOTS8_4G3_HALVORSEN.pdf
Lajoie, S. P. (1997). Technologies for assessing and extending statistical learning. In I. Gal & J. B. Garfield (Eds.). The Assessment Challenge in Statistics Education (pp. 179-190). Amsterdam: IOS Press.
Marriott, J., Davies, N., & Gibson, L. (2009). Teaching, learning and assessing statistical problem solving. Journal of Statistics Education, 17. Retrieved from http://www.amstat.org/publications/jse/v17n1/marriott.pdf
Metz, M.L. (2015). Using GAISE and NCTM Standards as Frameworks for Teaching Probability and Statistics to Pre-Service Elementary and Middle School Mathematics Teachers. Pennsylvania Journal of Statistics Education, 18(3). Retrieved from www.amstat.org/publications/jse/v18n3/metz.pdf 47
Maguire, M. & Delahunt, B. (2017). Doing a thematic Analysis: A practical, step-by-step guide for learning and teaching scholars. The All Ireland Journal of Teaching and Learning in Higher Education, 8(3), 33501-33514.
National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
Parolini, G. (2015). The Emergence of Modern Statistics in Agricultural Science: Analysis of Variance, Experimental Design and the Reshaping of Research at Rothamsted Experimental Station, 1919-1933. Journal of the History of Biology, 48(2), pp. 301-335.
Petocz, P. (2010). On becoming a statistician – a qualitative view. International Statistical Review, 78, 271-281.
Ramirez-Faghih, C. (2012). Fostering change in college students' statistical reasoning and motivation through statistical investigation (Order No. 3555404). Available from ProQuest Dissertations & Theses Global. (1319306151). Retrieved from http://0-search.proquest.com.lib1000.dlsu.edu.ph/docview/1319306151?accountid=28547
Reston, E., Krishnan S., Idris, N. (2014). Statistics education in Malaysia and Philippines: A comparative study. Proceedings of the 55th Session of the International Statistical Institute, Sydney, Australia. Retrieved from http://iase-web.org/documents/SERJ/SERJ13(2)_Reston.pdf
Rumsey, D.J. (2002). Statistical literacy as a goal for introductory statistics courses. Journal of Statistics Education, 10(3).
Tisel, J. M. (2015). Within-case and cross-case analyses of questions posed by fifth-grade students working in small groups to investigate pendulum motion (Order No. 3687079). Available from ProQuest Dissertations & Theses Global. (1667470182). Retrieved from http://0-search.proquest.com.lib1000.dlsu.edu.ph/docview/1667470182?accountid=28547
Wallman, K. E. (1993). Enhancing statistical literacy: Enriching our society. Journal of the American Statistical Association, 88(421).
Wild, C. J., & Pfannkuch, M. (1999). Statistical Thinking in Empirical Enquiry. International Statistical Review, 67(3), 223-265.
Wilson, J.H. (2017). Research Methods and Statistics: An Integrated Approach. Los Angeles: SAGE.
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