RESEARCH PAPER
A quantitative case study of secondary school students’ level of statistical thinking
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The National University of Malaysia, Bangi, MALAYSIA
Online publication date: 2024-03-14
Publication date: 2024-04-01
EURASIA J. Math., Sci Tech. Ed 2024;20(4):em2421
KEYWORDS
ABSTRACT
In the 21st century, statistical thinking has become necessary for all citizens as this skill is vital for
societal literacy. Students with statistical thinking will grasp and apply the problem’s context to
develop research and draw conclusions, as well as the coherence of the whole process from asking
questions to collecting data, evaluating, and testing hypotheses. Although statistical thinking is
increasingly in demand in various emerging vocations, students and teachers find statistics
challenging to understand. Thus, the study examines the level of statistical thinking of the process
of describing data, organizing and reducing data, representing data, and analyzing and
interpreting data among high school students based on gender. The statistical thinking test
modification of the framework validation test, code, and subprocess reference was used to collect
research data from 35 grade 10 students. The research data were statistically analyzed using the
statistical package for social sciences version 23 software through descriptive and inferential
statistics, specifically an independent t-test analysis. The findings revealed that none of the
students achieved an analytical level of understanding; instead, their general statistical thinking
skills were at the transitional level, followed by the idiosyncratic and quantitative levels. The
findings also demonstrated no statistically significant gender-related disparities in students’
statistical thinking. The study proposes several recommendations, including the necessity of
connecting statistical activities to the reality of students’ life and area of study and emphasizing
practical rather than theoretical aspects.
REFERENCES (41)
1.
Altaylar, B., & Kazak, S. (2021). The effect of realistic mathematics education on sixth grade students’ statistical thinking. Acta Didactica Napocensia [Napocensia Didactic Act], 14(1), 76-90.
https://doi.org/10.24193/adn.1....
2.
Aristovnik, A., Kerzic, D., Ravselj, D., Tomazevic, N., & Umek, L. (2020). Impacts of the COVID-19 pandemic on life of higher education students: A global perspective. Sustainability, 12(20), 8438.
https://doi.org/10.3390/su1220....
3.
Bromage, A., Pierce, S., Reader, T., & Compton, L. (2022). Teaching statistics to non-specialists: Challenges and strategies for success. Journal of Further and Higher Education, 46(1), 46-61.
https://doi.org/10.1080/030987....
5.
Conway, B., Martin, W. G., Strutchens, M., Kraska, M., & Huang, H. (2019). The statistical reasoning learning environment: A comparison of students’ statistical reasoning ability. Journal of Statistics Education, 27(3), 171-187.
https://doi.org/10.1080/106918....
6.
English, L. D., & Watson, J. (2018). Modelling with authentic data in sixth grade. International Journal on Mathematics Education, 50, 103-115.
https://doi.org/10.1007/s11858....
7.
Ganesan, N., & Leong, K. E. (2020). Impact of fathom on statistical reasoning among upper secondary students. Journal of Research in Science, Mathematics and Technology Education, 3(2), 35-50.
https://doi.org/10.31756/jrsmt....
8.
Garfield, J., Le, L., Zieffler, A., & Ben-Zvi, D. (2015). Developing students’ reasoning about samples and sampling variability as a path to expert statistical thinking. Educational Studies in Mathematics, 88(3), 327-342.
https://doi.org/10.1007/s10649....
9.
Ghanem, B. M. (2017). Introduction to teaching thinking. House of Culture for Publishing and Distribution.
10.
Hill, R. (1998). What sample size is “enough” in internet survey research. Interpersonal Computing and Technology: An Electronic Journal for the 21st Century, 6(3-4), 1-12.
11.
Jones, G. A., Langrall, C. W., Thornton, C. A., Mooney, E. S., Wares, A., Jones, M. R., Perry, B., Putt, I. J., & Nisbet, S. (2001). Using students’ statistical thinking to inform instruction. Journal of Mathematical Behavior, 20(1), 109-144.
https://doi.org/10.1016/S0732-....
12.
Kazak, S., Pratt, D., & Gokce, R. (2018). Sixth grade students’ emerging practices of data modelling. ZDM Mathematics Education, 50(7), 1151-1163.
https://doi.org/10.1007/s11858....
13.
Khamis, R. T. Y. (2015). The effect of a training program to develop statistical thinking skills among university students [PhD thesis, University of Baghdad].
14.
Kim, H. Y. (2013). Statistical notes for clinical researchers: assessing normal distribution (2) using skewness and kurtosis. Restorative Dentistry & Endodontics, 38(1), 52-54.
https://doi.org/10.5395/rde.20....
15.
Langrall, C. W., & Mooney, E. S. (2002). The development of a framework characterizing middle school students’ statistical thinking.
https://api.semanticscholar.or....
16.
Lavidas, K., Barkatsas, T., Manesis, D., & Gialamas, V. (2020). A structural equation model investigating the impact of tertiary students’ attitudes toward statistics, perceived competence at mathematics, and engagement on statistics performance. Statistics Education Research Journal, 19(2), 27-41.
https://doi.org/10.52041/serj.....
18.
Le, L. (2017). Assessing the development of students’ statistical thinking: An exploratory study [PhD thesis, University of Minnesota].
19.
Levpuscek, M. P., & Cukon, M. (2022). That old devil called ‘statistics’: Statistics anxiety in university students and related factors. Center for Educational Policy Studies Journal, 12(1), 147-168.
https://doi.org/10.26529/cepsj....
20.
Martin, N., Hughes, J., & Fugelsang, J. (2017). The roles of experience, gender, and individual differences in statistical reasoning. Statistics Education Research Journal, 16(2), 454-475.
https://doi.org/10.52041/serj.....
21.
Maryati, I., & Priatna, N. (2018). Analysis of statistical misconception in terms of statistical reasoning. Journal of Physics: Conference Series, 1013, 012206.
https://doi.org/10.1088/1742-6....
22.
Matore, M. E. E. M., Khairani, A. Z., Idris, H., & Rahman, N. A. (2017). Kesahan kandungan pakar instrumen IKBAR bagi pengukuran AQ menggunakan nisbah kesahan kandungan [Expert content validity of the IKBAR instrument for AQ measurement using the content validity ratio]. In Proceedings of the International Conference on Global Education V (pp. 979-997).
24.
Mohamed, Z., Lebar, O., & Shamsuddin, S. (2017). Pembinaan dan penilaian instrumen ujian aptitud kemasukan ke institut pengajian tinggi Malaysia [Construction and evaluation of aptitude test instruments for admission to Malaysian institutes of higher education]. Journal of Science and Mathematics Letters, 5, 16-27.
https://doi.org/10.37134/jsml.....
25.
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/s15327....
26.
Nemrawi, A. M., Baioumy, N. A., Fouad, S. A., & Salah. (2022). Statistical thinking levels of students in Al-Ghad International College for applied medical sciences in Saudi Arabia and its relationship to gender. International Journal of Academic Research in Progressive Education and Development, 1(2), 398-418.
https://doi.org/10.6007/IJARPE....
27.
Ramey, J. M. (2015). Differences in statistical reasoning abilities through behavioral-cognitive combinations of videos and formative assessments in undergraduate statistics courses [PhD thesis, East Tennessee State University].
28.
Reynolds, C. R., Livingston, R., & Willson, V. (2008). Measurement and assessment in education. Pearson.
29.
Rohana, R., & Ningsih, Y. L. (2019). Students’ statistical reasoning in statistics method course. Jurnal Pendidikan Matematika [Journal of Mathematics Education], 14(1), 81-90.
https://doi.org/10.22342/jpm.1....
30.
Saidi, S. S., & Siew, N. M. (2022). Assessing secondary school students’ statistical reasoning, attitudes towards statistics, and statistics anxiety. Statistics Education Research Journal, 21(1), 6.
https://doi.org/10.52041/serj.....
32.
Setambah, M. A. B., Tajuddin, N. M., Yaakob, M. F. M., & Saad, M. I. M. (2019). Adventure learning in basics statistics: Impact on students critical thinking. International Journal of Instruction, 12(3), 151-166.
https://doi.org/10.29333/iji.2....
33.
Smith, C., Fitzallen, N., Watson, J., & Wright, S. (2019). The practice of statistics for STEM: Primary students and pre-service primary teachers exploring variation in seed dispersal. Teaching Science, 65(1), 38-47.
34.
Syed Zamri, S. N. A., Hutkemri, & Kwan Eu, L. (2020). Postgraduate students’ attitude toward statistics pre and post scenario-based learning method in a statistics course. Malaysian Online Journal of Educational Sciences, 8(4), 1-8.
37.
Watson, J., Fitzallen, N., English, L., & Wright, S. (2020). Introducing statistical variation in year 3 in a STEM context: Manufacturing licorice. International Journal of Mathematical Education in Science and Technology, 51(3), 354-387.
https://doi.org/10.1080/002073....
38.
Woodard, V., Lee, H., & Woodard, R. (2020). Writing assignments to assess statistical thinking. Journal of Statistics Education, 28(1), 32-44.
https://doi.org/10.1080/106918....
41.
Yusoff, M. S. B. (2019). ABC of content validation and content validity index calculation. Education in Medicine Journal, 11(2), 49-54.
https://doi.org/10.21315/eimj2....