Mental Action Way of Understanding (WoU) and Way of Thinking (WoT) Students in Statistics Learning in Higher Education

L. Lukman, W. Wahyudin, Didi Suryadi, Dadan Dasari, Sufyani Prabawanto

Abstract


This study aims to examine in depth the Mental Action Way of Understanding (WoU) and Way of Thinking (WoT) of students in learning Statistics in Higher Education and the relationship between WoU and WoT. This research is qualitative research using the Grounded Theory approach. The participants involved were 36 people in the city of Bandung, West Java, Indonesia. Validity and reliability using the Krippendorff content analysis method with the Inter-coder Agreement (ICA) test using Krippendorff alpha coefficients. The results showed that there was a significant relationship between students' mental action statistics and students' WoU and WoT in Statistical Understanding and Thinking. The relationship between WoU and WoT: (1) Students’ WoU will build such a statistical framework. (2) Students’ WoT affects how statistical modeling from their statistical knowledge. This relationship fits the philosophy of statistics and inductive inference. The statistical mental action of WoU students was to make models, analyze, calculate and generalize. The mental actions of Statistics students from WoT were interpreting, analyzing, predicting, reasoning, and inferring. The WoU and WoT mental action models developed the PPDC Cycle model and the Gal’s statistical literacy model. the PPDAC Cycle model by Wild and Pfankuch, consists of five dimensions, and one of the dimensions was the PPDAC Cycle. The statistical literacy model by Gal consists of two dimensions, namely the dimensions of statistical knowledge and disposition. The novelty of this research was developing the PPDAC Cycle statistical thinking model by Wild and Pfankuch, and the statistical literacy model on the statistical knowledge dimension by Gal. This study's results can be considered in designing statistical learning in universities and measuring students' understanding and statistical thinking skills.

Keywords


Mental action,;WoU and WoT statistics; grounded theory.

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References


R. Helenius, A. D’Amelio, P. Campos, and S. Macfeely, “ISLP country coordinators as ambassadors of statistical literacy and innovations,†Stat. Educ. Res. J., vol. 19, no. 1, pp. 120–136, Feb. 2020, doi: 10.52041/serj.v19i1.125.

T. Evans and G. Oates, “Herenga Delta 2021: values and variables in mathematics and statistics education in a time of disruption,†Int. J. Math. Educ. Sci. Technol., 2021, doi: 10.1080/0020739X.2022.2004749.

M. Berndt, F. M. Schmidt, M. Sailer, F. Fischer, M. R. Fischer, and J. M. Zottmann, “Investigating statistical literacy and scientific reasoning & argumentation in medical-, social sciences-, and economics students,†Learn. Individ. Differ., vol. 86, Feb. 2021, doi: 10.1016/j.lindif.2020.101963.

D. Díaz-Levicoy, C. Batanero, P. Arteaga, and M. M. Gea, “Chilean Children’s Reading Levels of Statistical Graphs,†Int. Electron. J. Math. Educ., vol. 15, no. 1, pp. 689–700, 2019, doi: 10.29333/iejme/5786.

M. Berndt, F. M. Schmidt, M. Sailer, F. Fischer, M. R. Fischer, and J. M. Zottmann, “Investigating statistical literacy and scientific reasoning & argumentation in medical-, social sciences-, and economics students,†Learn. Individ. Differ., vol. 86, p. 101963, 2021, doi: 10.1016/j.lindif.2020.101963.

E. Çatman Aksoy and M. Işıksal Bostan, “Seventh Graders’ Statistical Literacy: an Investigation on Bar and Line Graphs,†Int. J. Sci. Math. Educ., vol. 19, no. 2, pp. 397–418, Feb. 2021, doi: 10.1007/s10763-020-10052-2.

O. Rizou, A. Klonari, and D. Kavroudakis, “Supporting Statistical Literacy with ICT-Based Teaching,†no. December, 2021, doi: 10.5121/ije2021.9405.

J. G. Lugo-Armenta and L. R. Pino-Fan, “Inferential statistical reasoning of math teachers: Experiences in virtual contexts generated by the COVID-19 pandemic,†Educ. Sci., vol. 11, no. 7, 2021, doi: 10.3390/educsci11070363.

G. Ambrus, E. Herendiné Kónya, Z. Kovács, J. Szitányi, and C. Csíkos, “A Cross-sectional Analysis of Students’ Answers to a Realistic Word Problem from Grade 2 to 10,†Int. Electron. J. Math. Educ., vol. 14, no. 3, pp. 513–521, 2019, doi: 10.29333/iejme/5753.

A. Wijaya, Elmaini, and M. Doorman, “A learning trajectory for probability: A case of game-based learning,†J. Math. Educ., vol. 12, no. 1, pp. 1–16, 2021, doi: 10.22342/JME.12.1.12836.1-16.

H. Jacinto and S. Carreira, “Digital tools and paper-and-pencil in solving-and-expressing: how technology expands a student’s conceptual model of a covariation problem,†J. Math. Educ., vol. 12, no. 1, pp. 113–132, 2021, doi: 10.22342/JME.12.1.12940.113-132.

P. T. Rahayu, R. Ilma, and I. Putri, “Project-Based Mathematics Learning : Fruit Salad,†J. Math. Educ., vol. 12, no. 1, pp. 181–198, 2021.

P. Arnold and C. J. Wild, “Enhancing Students ’ In ferential Reasoning : From Hands-On To ‘ Movies ,’†vol. 19, no. 2, 2011.

G. Harel, “DNR perspective on mathematics curriculum and instruction, Part I: Focus on proving,†ZDM - Int. J. Math. Educ., vol. 40, no. 3, pp. 487–500, 2008, doi: 10.1007/s11858-008-0104-1.

B. De Sousa, A. Domingos, E. Sciences, and E. Sciences, “What recourse exists when the teaching of statistics by visual means is not part of the equation ? This case study of a team from the University of Coimbra- one teacher , two members of the Media Production Center and a visually impaired student - took up,†no. August, pp. 1–6, 2019.

P. S. Bandyopadhyay and M. R. Forster, Philosophy of Statistics: An Introduction, no. December. 2011.

B. Conway, W. Gary Martin, M. Strutchens, M. Kraska, and H. Huang, “The Statistical Reasoning Learning Environment: A Comparison of Students’ Statistical Reasoning Ability,†J. Stat. Educ., vol. 27, no. 3, pp. 171–187, Sep. 2019, doi: 10.1080/10691898.2019.1647008.

K. Cummiskey, B. Adams, J. Pleuss, D. Turner, N. Clark, and K. Watts, “Causal Inference in Introductory Statistics Courses,†J. Stat. Educ., vol. 28, no. 1, pp. 2–8, Jan. 2020, doi: 10.1080/10691898.2020.1713936.

Lukman and Wahyudin, “Statistical literacy of undergraduate students in Indonesia: Survey studies,†J. Phys. Conf. Ser., vol. 1521, no. 3, 2020, doi: 10.1088/1742-6596/1521/3/032050.

L. Ricci et al., “Qualitative Methods Used to Generate Questionnaire Items: A Systematic Review,†Qual. Health Res., vol. 29, no. 1, pp. 149–156, 2019, doi: 10.1177/1049732318783186.

M. Tsubaki, W. Ogawara, and K. Tanaka, “An Analysis for the Qualitative Improvement of Education and Learning based on the Way of Learner Errors in Descriptive Questions,†Int. Electron. J. Math. Educ., vol. 15, no. 3, 2020, doi: 10.29333/iejme/7840.

M. Sánchez, V. Olmedo, C. Narvaez, M. Hernández, and L. Urquiza-aguiar, “Generation of a Synthetic Dataset for the Study of Fraud through Deep Learning Techniques,†vol. 11, no. 6, pp. 2534–2542, 2021.

J. De Lange, “There is, Probably, no need for a design framework,†J. Math. Educ., vol. 12, no. 2, pp. 365–388, 2021, doi: 10.22342/JME.12.2.14387.365-388.

S. Schnell, “ICOTS10 (2018) Invited Paper - Refereed Schnell,†vol. 10, 2018.

A. Z. Fuad, J. Alfin, Fauzan, S. Astutik, and B. K. Prahani, “Group Science Learning model to improve collaborative problem solving skills and self-confidence of primary schools teacher candidates,†Int. J. Instr., vol. 12, no. 3, pp. 119–132, 2019, doi: 10.29333/iji.2019.1238a.

J. Alfin, A. Z. Fuad, M. Nur, L. Yuanita, and B. K. Prahani, “Development of group science learning (GSL) model to improve the skills of collaborative problem solving, science process, and self-confidence of primary schools teacher candidates,†Int. J. Instr., vol. 12, no. 1, pp. 147–164, 2019, doi: 10.29333/iji.2019.12110a.

K. Krippendorff, “Emerging trends in content analysis,†Int. Encycl. Commun., vol. 1, pp. 401–407, 1989, [Online]. Available: http://repository.upenn.edu/asc_papers/226.

J. Hwang and Y. Ham, “Relationship between mathematical literacy and opportunity to learn with different types of mathematical tasks,†J. Math. Educ., vol. 12, no. 2, pp. 199–222, 2021, doi: 10.22342/JME.12.2.13625.199-222.

“Some Considerations in Vital Statistics Education Author ( s ): Louis I . Dublin and Edwin W . Kopf Source : Publications of the American Statistical Association , Vol . 16 , No . 127 ( Sep ., 1919 ), Published by : Taylor & Francis , Ltd . on behalf of t,†vol. 16, no. 127, pp. 458–466, 2020.

J. Lim and C. Moon, “Developing Big Data Analytics Course for Non-ICT Major University Students,†IJASEIT, vol. 11, no. 6, pp. 2503–2508, 2021.

L. Pangrazio and J. Sefton-Green, “The social utility of ‘data literacy,’†Learn. Media Technol., vol. 45, no. 2, pp. 208–220, Apr. 2020, doi: 10.1080/17439884.2020.1707223.

J. E. Raffaghelli, S. Manca, B. Stewart, P. Prinsloo, and A. Sangrà , “Supporting the development of critical data literacies in higher education : building blocks for fair data cultures in society,†Int. J. Educ. Technol. High. Educ., 2020, doi: 10.1186/s41239-020-00235-w.

L. E. Sosa Moguel, E. Aparicio Landa, and G. Cabañas-Sánchez, “Characterization of Inductive Reasoning in Middle School Mathematics Teachers in a Generalization Task,†Int. Electron. J. Math. Educ., vol. 14, no. 3, pp. 563–581, 2019, doi: 10.29333/iejme/5769.

E. Ekamilasari, and I. D. Pursitasari, "Students' Critical Thinking Skills and Sustainability Awareness in Science Learning for Implementation Education for Sustainable Development," Indonesian Journal of Multidiciplinary Research, vol. 1, no. 1, pp.121-124, 2021, doi: 10.17509/ijomr.v1i1.33792.

A. C. Abance, S. D. Anglacer, F. J. A. Soriano, A. G. C. Umadhay, A. C. Malaco, and A. S. Besa, "Respondents’ Level of Education, Knowledge, Awareness, and Acceptability of Blue Ternate (Clitoria Ternatea) as Alternative Medicine", Indonesian Journal of Multidiciplinary Research, vol. 1, no. 2, pp. 337-340, 2021, doi: 10.17509/ijomr.v1i2.37818.

N. M. Sari, and N. S. M. Faiz, “Internationalisation of Higher Education: The Activity – Process Approach at Universiti Tun Hussein Onn Malaysiaâ€, Indonesian Journal of Educational Research and Technology, vol. 1, no. 2, pp. 7-10, 2021, doi: 10.17509/ijert.v1i1.32649.

T. Dulklang, and T. Sangsawang, “Self-Learning Activity Package in Occupation Skills Development for Primary Education Students (Grade 6) wat Samuha Rat Bamrung Schoolâ€, Indonesian Journal of Teaching in Science, vol. 1, no. 1, pp. 21-26, 2021, doi: 10.17509/ijotis.v1i1.33641.




DOI: http://dx.doi.org/10.18517/ijaseit.12.6.17052

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