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http://dx.doi.org/10.7468/jksmee.2022.36.4.535

Analysis on Statistical Problem Solving Process of Pre-service Mathematics Teachers: Focus on the Result Interpretation Stage  

Kim, Sohyung (Sungkyunkwan University)
Han, Sunyoung (Sungkyunkwan University)
Publication Information
Communications of Mathematical Education / v.36, no.4, 2022 , pp. 535-558 More about this Journal
Abstract
In the current society, where statistical literacy is recognized as an important ability, statistical education utilizing the statistical problem solving, a series of processes for performing statistics, is required. The result interpretation stage is especially important because many forms of statistics we encounter in our daily lives are the information from the analysis results. In this study, data on private education were provided to pre-service mathematics teachers, and a project was carried out in which they could experience a statistical problem solving process using the population mean estimation. Therefore, this study analyzed the characteristics shown by pre-service mathematics teachers during the result interpretation stage. First, many pre-service mathematics teachers interpreted results based on the data, but the inference was found to be a level of 2 which is not reasonable. Second, pre-service mathematics teachers in this study made various kinds of decisions related to public education, such as improving classes and after-school classes. In addition, the pre-service mathematics teachers in this study seem to have made decisions based on statistical analysis results, but they made general decisions that teachers could make, rather than specifically. Third, the pre-service mathematics teachers of this study were reflective about the question formulation stage, organizing & reducing data stage, and the result interpretation stage, but no one was reflective about the result interpretation stage.
Keywords
statistical problem solving; result interpretation; pre-service mathematics teacher; private education; data-driven decision making; reflective thinking;
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1 Prenger, R., & Schildkamp, K. (2018). Data-based decision making for teacher and student learning: a psychological perspective on the role of the teacher. Educational Psychology, 38, 734-752. 10.1080/011443410.2018.1426834   DOI
2 Schifter, C. C., Natarajan, U., Ketelhut, D. J., & Kirchgessner, A. (2014). Data-Driven Decision Making: Facilitating Teacher Use of Student Data to Inform Classroom Instruction. Contemporary Issues in Technology and Teacher Education, 14(4),419-432.
3 Wild, C. J., & Pfannkuch, M. (1999). Statistical thinking in empirical enquiry. International Statistical Review, 67(3), 223-265.   DOI
4 Kang, M. S., & Yoo., J. B. (2018). A Study on Experience of Pre-service Teacher's Shadow Education. Journal of Education & Culture, 24(6), 229-249.   DOI
5 Kang, H. Y., Shin, B. M., Ko, E. S., Lee, D. H., Sim, S. Y., Kim, J. J., Ku, N. Y., Jung, I. S., Choi, K. S., Hong, J. H., & Lee, S. B. (2014). A study on the improvement of mathematics curriculum for the promotion of statistical education. Kofac Research Report 2014A039.
6 Ko, E. S., & Park, M. S. (2017). Pre-Service Elementary School Teachers Statistical Literacy Related To Statistical Problem Solving. School Mathematics, 19(3), 443-459.
7 Ko, E. S., & Lee, K. H. (2011). Pre-service Teachers' Understanding of Statistical Sampling. Journal of Educational Research in Mathematics, 21(1), 17-32.
8 Kim, S., &Han, S. (2021). Analyzing research questions from pre-service mathematics teachers in statistical problem solving process. The Mathematical Education, 60(3), 363-386.
9 Kwon, D. (2019). Effects of Thinking related to Statistical Variability on the Understanding of Population Mean Estimation [Major's thesis, Ewha Womans University].
10 Kim, S. H., & Kang, H. Y. (2020). Exploring Ways to Improve Statistics Curriculum by Analyzing Secondary Curriculum in Foreign Countries. School Mathematics, 22(3), 631-650.   DOI
11 Kim, Y., Kim, S.,& Han, S. (2019). Changing in Perception of Pre-Mathematics Teachers about Project-Based Learning. Communications of Mathematical Education, 33(3), 231-254.   DOI
12 Park, B. Y. (2020). An Analysis on Secondary Mathematics Teachers' Statistical Knowledge about Statistical Problem Solving [Master's thesis, Korea National University of Education].
13 Bae, H. J., &Lee, D. H. (2016). An Analysis on Statistical Units of Elementary School Mathematics Textbook. Journal of Elementary Mathematics Education in Korea, 20(1), 55-69.
14 Suh, H., & Han, S. (2021). Changes in Statistical Knowledge and Experience of Data-driven Decision-making of Pre-service Teachers who Participated in Data Analysis Projects. Communications of Mathematical Education, 35(2), 153-172.   DOI
15 Seon, J. Y., Kim, K. Y., & Kim, J. (2019). A statistic method and utilization for outlier detection. HIRA OAK Repository, 14(1), 49-56.
16 Song, M. J.(2020). An Analysis on Statistical Literacy of High School Students [Master's thesis, Korea National University of Education].
17 Woo, J. H. (2000). An Exploration of the Reform Direction of Teaching Statistics. School Mathematics, 2(1), 1-27.
18 Lee, K. H., Yoo,Y. J., & Tak, B. (2021). Towards Data-Driven Probability Education: An Exploration of Restructuring the Mathematics Curriculum. School Mathematics, 23(3), 361-386.   DOI
19 Woo, J. H.(2017). The educational foundation of school mathematics(revised). Seoul National University Press.
20 Yoo, J. B., & Kang, M. S. (2020). A Study on Teachers' Perceptions on the Problems and their Solution of Reducing Private Tutoring. Journal of Education & Culture, 26(3), 163-189.   DOI
21 Lee, S. B.(2017). Ethical problems of Statistical analysis in the interpretation process [master's thesis, Ewha Womans University].
22 Lee, S. A.(2015). Similarities and differences in Korean and American pre-service teachers'conceptions of teaching and becoming new teachers: Intercultural online exchanges. Anthropology of education, 18(2), 57-92.   DOI
23 Lee, Y. H., & Kim, J. Y. (2016). A Study on the Ethical Problems and Evaluation Methods of Statistical Data-Collection: Centering on the Statistics Lessons of the 7th Grade. Journal of Research in Curriculum & Instruction, 20(4), 357-370.   DOI
24 Lee, E. J., Park, M. S. (2019). Statistical Reasoning of Preservice Elementary School Teachers Engaged in Statistical Problem Solving: Focused on Question Posing Stage. Education of Primary School Mathematics, 22(4), 205-221.   DOI
25 Lee, J., & Rim. H. (2021). Analysis of Textbooks on Statistical Problem-Solving Process and Statistical Literacy. Journal of the Korean School Mathematics Society, 24(2), 191-216.
26 Jeon, H. W.,& Kim, R. Y. (2019). A Comparative Study of Statistical Processes in Korean and U.S. Middle School Mathematics Textbooks. School Mathematics, 33(4), 425-444.
27 Han, S. (2015). Inductive analysis approach on middle grade mathematics pre-service teachers'teaching philosophies. Journal of Educational Research in Mathematics, 25(4), 599-615.
28 Ju, M. K., Kim,S. Y., Bae, K. T., Jeong, H. S., & Jung, S. Y. (2018). An Analysis of High School Students' Statistical Literacy: Students' Achievement and Difficulties of Statistical Inquiry. School Mathematics, 20(4), 661-683.   DOI
29 Tak, B. (2018). An Analysis on Classifying and Representing Data as Statistical Literacy: Focusing on Elementary Mathematics Curriculum for 1st and 2nd Grades. Journal of Elementary Mathematics Education in Korea, 22(3), 221-240.
30 Tak, B., & Lee, K. H. (2017). An Analysis of Research Trends on Statistics Education in Korea from 2000 to 2016. Journal of Educational Research in Mathematics, 27(2), 269-289.
31 Hwang, H. J. (2020). The Development of the Items on Mathematical Instructional Evaluation-based on the Teacher's practical Knowledge. Communications of Mathematical Education, 34(4), 507-523.   DOI
32 Hwang, H. J., Na,G., Choe, S. H., Park, K. M., Yim, J. H., & Seo, D. Y. (2016). Mathematical education theology (2016 revised and enlarged edition). Moonumsa.
33 Agasisti, T.,& Bowers, A. J. (2017). Data Analytics and Decision-Making in Education: Towards the Educational Data Scientist as a Key Actor in Schools and Higher Education Institutions. In Johnes, G., Johnes, J., Agasisti, T., Lopez-Torres, L. (Eds.), Handbook of Contemporary Education Economics. (pp. 184-210). Edward Elgar Publishing.
34 Ben-Zvi, D.,& Garfield, J. (2010). The Challenge of Developing Statistical Literacy, Reasoning and Thinking. (Lee, K. H., Ji, E. J., Ko, E. S., Kang, H. Y., Shin,B. M., Lee, D. H., Lee, E. K., Lee, J. Y., Park. M. S., & Park, M. M.,Trans.). Kyungmoonsa. (Original work published 2004)
35 Filderman, M. J., Toste, J. R., & Cooc North (2021). Does Training Predict Second-Grade Teachers' Use of Student Data for Decision-Making in Reading and Mathematics?. Assessment for Effective Intervention, 46(4), 247-258.   DOI
36 Braun, V., & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2), 77-101.   DOI
37 Cassidy, E. W., & Kurfman, D. G. (1977). Decision making as purpose and process. In D. G. Kurfman (Ed.). Devloping Decision-Making Skills. (pp. 1-28). National Council for the Social Studies.
38 Dunn, K., Airola, K., Lo, W., & Garrison, M. (2013). What teachers think about what they can do with data: Development and validation of the data driven decision-making efficacy and anxiety inventory. Contemporary Educational Psychology, 38(1), 87-98.   DOI
39 Franklin, C., Kader, G., Mewborn, D., Moreno, J., Peck, R., Perry, M., & Scheaffer, R.(2007). Guidelines for assessment and instruction in statistics education(GAISE) report: A pre-k-12 curriculum framework. American Statistical Association.
40 Gallgher, L., Means, B., & Padilla, C. (2008). Teachers' use of student data systemato improve instruction: 2005 to 2007. U.S. Department of Education. https://www2.ed.gov/rschstat/eval/tech/teachers-data-use-2005-2007.pdf
41 Graham, A.(2006). Developing thinking in statistics. The Open University in association with Paul Chamman Publishing.
42 Lai, M. J., & McNaughton, S. (2016). The impact of data use professional development onstudent achievement. Teaching and Teacher Education, 60, 434-443.   DOI
43 Lee, S., & Schallert, D. (2013). Becoming a teacher: Coordinating past, present, and future selves with perspectival understandings about teaching. Paper presented at the annual meeting of American Educational Research Association, April, 2013, San Francisco, CA.
44 Mandinach, E. B., Rivas, L., Light, D., Heinze, C., & Honey, M. (2006). The impact of data-driven decision making tools on educational practice: A systems analysis of six school districts. Paper presented at the annual meeting of the American Educational Research Association, San Francisco, CA.
45 Mackay, R. J., & Oldford, R. W. (1994). Stat 231 Course Notes Fall 1994. Waterloo: University of Waterloo.
46 Makar, K. & Fielding-Wells, J. (2011). Teaching teachers to teach statistical investigations. In C. Batenero, G. Burill & C. Reading (Eds.), Teaching statistics in school mathematics challenges for teaching and teacher education. (pp. 9-13). Springer.
47 Mandinach, E. B., & Gummer, E. S. (2016). What does it mean for teachers to be data literate: Laying out the skills, knowledge, and disposition. Teaching and Teacher Education, 60, 366-376.   DOI
48 Marriott, J., Davies, N., & Gibson, L. (2009). Teaching, learning and assessing statistical problem solving. Journal of Statistics Education [Online], 17(1). www.amstat.org/publications/jse/v17n1/marriott.html
49 Marsh, J. A., Pane, J. F., & Hamilton, L. S. (2006). Making sense of data driven decision making in education. RAND Corporation.
50 Means, B., Chen,E., DeBarger, A., & Padilla, C. (2011). Teachers' ability to use data to inform instruction: Challenges and supports. https://www2.ed.gov/rschstat/eval/data-to-inform-instruction/report.doc
51 Mooney, E. S.(2002). A Framework for Characterizing Middle School Students' Statistical Thinking. Mathematical Thinking and Learning, 4(1), 23-63. https://doi.org/10.1207/S15327833MTL0401_2   DOI
52 Moss, P. (2007). Introduction: Evidence and decision making. In P. Moss (Ed.). Evidence and decision making, 106(1), 15-45. (National Society for the Study of Education Yearbook). Blackwell Publishing.