UPSI Digital Repository (UDRep)
|
|
|
Abstract : Universiti Pendidikan Sultan Idris |
Several concerted movements toward mathematical modeling have been seen in the last decade, reflecting the growing global relationship between the role of mathematics in the context of modern science, technology and real life. The literature has mainly covered the theoretical basis of research questions in mathematical modeling and the use of effective research methods in the studies. Driven by the Realistic Mathematics Education (RME) theory and empirical evidence on metacognition and modeling competency, this research aimed at exploring the interrelationships between metacognition and mathematical modeling and academic year level as a moderator via the SEM approach. This study involved 538 students as participants. From this sample, 133 students (24.7%) were from the first academic year, 223 (41.4%) were from the second and 182 (33.8%) were from the third. A correlational research design was employed to answer the research question. Cluster random sampling was used to gather the sample. We employed structural equation modeling (SEM) to test the hypothesized moderation employing IBM SPSS Amos version 18. Our findings confirmed the direct correlation between metacognition and mathematical modeling was statistically significant. Academic year level as a partial moderator significantly moderates the interrelationships between the metacognitive strategies and mathematical modeling competency. The effect of metacognition on mathematical modeling competency was more pronounced in the year two group compared to the year one and three groups. ? 2021 The Author(s). Open Access - This article is under the CC BY license (https://creativecommons.org/licenses/by/4.0/). |
References |
Anhalt, C. O., & Cortez, R. (2016). Developing understanding of mathematical modeling in secondary teacher preparation. Journal of Mathematics Teacher Education, 19(6), 523-545. doi:10.1007/s10857-015-9309-8 Anhalt, C. O., Cortez, R., & Bennett, A. B. (2018). The emergence of mathematical modeling competencies: An investigation of prospective secondary mathematics teachers. Mathematical Thinking and Learning, 20(3), 202-221. doi:10.1080/10986065.2018.1474532 Anoling, O., Dagdag, J., Pascual, J., & Salviejo, R. (2018). Factor structure of problem-solving efficacy among college algebra students. Journal of Research, Policy & Practice of Teachers and Teacher Education, 8(2), 19-28. Retrieved from www.scopus.com Awang, Z., Lim, S. H., & Zainudin, N. F. Z. (2018). Pendekatan Mudah SEM-Structural Equation Modelling, Retrieved from www.scopus.com Biccard, P., & Wessels, D. C. J. (2011). Documenting the development of modelling competencies of grade 7 mathematics students doi:10.1007/978-94-007-0910-2_37 Retrieved from www.scopus.com Blomhoj, M. (2008). Different perspectives on mathematical modelling in educational research - categorizing the TSG21 papers. INTERNATIONAL CONGRESS ON MATHEMATICAL EDUCATION, 11th, , 1-18. Retrieved from www.scopus.com Blomhøj, M., & Jensen, T. H. (2003). Developing mathematical modelling competence: Conceptual clarification and educational planning. Teaching Mathematics and its Applications, 22(3), 123-139. doi:10.1093/teamat/22.3.123 Blum, W. (2011). Can modelling be taught and learnt? some answers from empirical research doi:10.1007/978-94-007-0910-2_3 Retrieved from www.scopus.com Blum, W., Galbraith, P., Henn, H. -., & Niss, M. (2007). Preface Retrieved from www.scopus.com Blummer, B., & Kenton, J. M. (2014). Improving Student Information Search, Retrieved from www.scopus.com Brand-Gruwel, S., Wopereis, I., & Vermetten, Y. (2005). Information problem solving by experts and novices: Analysis of a complex cognitive skill. Computers in Human Behavior, 21(3 SPEC. ISS.), 487-508. doi:10.1016/j.chb.2004.10.005 Brown, A. L. (1978). Knowing when, where, and how to remember: A problem of metacognition. Advances in Instructional Psychology, 1, 77-165. Retrieved from www.scopus.com Che Md Ghazali, N. H., Abdullah, N., Hamzah, M., & Mohamed Arif, N. R. (2019). Flat-btot: A method to improve mathematic communication skills in solving mathematic word problems. Evaluation Studies in Social Sciences, 6(1), 9-20. Retrieved from www.scopus.com Corum, K., & Garofalo, J. (2019). Engaging preservice secondary mathematics teachers in authentic mathematical modeling: Deriving ampere's law. Mathematics Teacher Educator, 8(1), 76-91. Retrieved from www.scopus.com Coskun, Y. (2018). A study on metacognitive thinking skills of university students. Journal of Education and Training Studies, 6(3), 38-46. Retrieved from www.scopus.com De Lange, J. (2006). Mathematical literacy for living from OECD-PISA perspective. Tsukuba Journal of Educational Study in Mathematics, 25(1), 13-35. Retrieved from www.scopus.com De Lange, J. (1987). Mathematics insight and meaning. Mathematics, Insight and Meaning, Retrieved from www.scopus.com De Lange, J. (1996). Using and applying mathematics in education. International Handbook of Mathematics Education, (PART 1), 49-97. Retrieved from www.scopus.com Desoete, A., Baten, E., Vercaemst, V., De Busschere, A., Baudonck, M., & Vanhaeke, J. (2019). Metacognition and motivation as predictors for mathematics performance of belgian elementary school children. ZDM - Mathematics Education, 51(4), 667-677. doi:10.1007/s11858-018-01020-w Desoete, A., & De Craene, B. (2019). Metacognition and mathematics education: An overview. ZDM - Mathematics Education, 51(4), 565-575. doi:10.1007/s11858-019-01060-w English, L. (2003). Mathematical modelling with young learners. Mathematical modelling: A way of life (pp. 3-17) doi:10.1533/9780857099549.1.1 Retrieved from www.scopus.com Fathurohman, I., & Cahyaningsih, R. D. (2021). Development of authentic assessment instrument for improving extensive capacity of metacognitive perspective. Asian Journal of Assessment in Teaching and Learning, 11(1), 13-21. Retrieved from www.scopus.com Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive-developmental inquiry. American Psychologist, 34(10), 906-911. doi:10.1037/0003-066X.34.10.906 Frejd, P., & Ärlebäck, J. B. (2011). First results from a study investigating swedish upper secondary students’ mathematical modelling competencies doi:10.1007/978-94-007-0910-2_40 Retrieved from www.scopus.com Freudenthal, H. (1991). Revisiting mathematics education. Revisiting Mathematics Education, Retrieved from www.scopus.com Fu, J., & Xie, J. (2013). Comparison of mathematical modelling skills of secondary and tertiary students doi:10.1007/978-94-007-6540-5_14 Retrieved from www.scopus.com Galbraith, P. (2017). Forty years on: Mathematical modelling in and for education. 40 Years on: We are Still Learning! Proceedings of the 40Th Annual Conference of the Mathematics Education Research Group of Australasia, , 47-50. Retrieved from www.scopus.com Galbraith, P. (2006). Real world problems: Developing principles of design. Identities, Cultures and Learning Spaces, 1, 229-236. Retrieved from www.scopus.com Garofalo, J., & Lester, F. K. (1985). Metacognition, cognitive monitoring, and mathematical performance. Journal for Research in Mathematics Education, 16(3), 163-176. Retrieved from www.scopus.com Germain-Williams, T. (2014). Mathematical Modelling in Algebra Textbooks at the Onset of the Common Core State Standards, Retrieved from www.scopus.com Gravemeijer, K., & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1-3), 111-129. doi:10.1023/a:1003749919816 Gravemeijer, K., & Terwel, J. (2000). Hans freudenthal: A mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32(6), 777-796. doi:10.1080/00220270050167170 Haines, C., & Crouch, R. (2001). Recognizing constructs within mathematical modelling. Teaching Mathematics and its Applications, 20(3), 129-138. doi:10.1093/teamat/20.3.129 Haines, C. R., & Crouch, R. (2010). Remarks on a modeling cycle and interpreting behaviours. Modeling students' mathematical modeling competencies: ICTMA 13 (pp. 145-154) doi:10.1007/978-1-4419-0561-1_12 Retrieved from www.scopus.com Hair, J. F., Anderson, R. E., Tatham, R. L., & Black, W. C. (1995). Multivariate Data Analysis, Retrieved from www.scopus.com Hallström, J., & Schönborn, K. J. (2019). Models and modelling for authentic STEM education: Reinforcing the argument. International Journal of STEM Education, 6(1) doi:10.1186/s40594-019-0178-z Hayes, A. F. (2009). Beyond baron and kenny: Statistical mediation analysis in the new millennium. Communication Monographs, 76(4), 408-420. doi:10.1080/03637750903310360 Hidayat, R., & Iksan, Z. H. (2018). Mathematical modelling competency for indonesian students in mathematics education programmes. Creative Education, 9(15), 2483-2490. Retrieved from www.scopus.com Hidayat, R., Qudratuddarsi, H., Mazlan, N. H., & Mohd Zeki, M. Z. (2021). Evaluation of a test measuring mathematical modelling competency for indonesian college students. Journal of Nusantara Studies, 6(2), 133-155. Retrieved from www.scopus.com Hidayat, R., Syed Zamri, S. N. A., Zulnaidi, H., & Yuanita, P. (2020). Meta-cognitive behaviour and mathematical modelling competency: Mediating effect of performance goals. Heliyon, 6(4) doi:10.1016/j.heliyon.2020.e03800 Hidayat, R., Zulnaidi, H., & Zamri, S. N. A. S. (2018). Roles of metacognition and achievement goals in mathematical modeling competency: A structural equation modeling analysis. PLoS ONE, 13(11) doi:10.1371/journal.pone.0206211 Hong, W. H., Vadivelu, J., Daniel, E. G. S., & Sim, J. H. (2015). Thinking about thinking: Changes in first-year medical students’ metacognition and its relation to performance. Medical Education Online, 20(1) doi:10.3402/MEO.V20.27561 Huang, C. H. (2018). Investigating engineering students' mathematical modeling competency. American Journal of Educational Research, 6(12), 1668-1672. Retrieved from www.scopus.com Kaiser, G. (2007). Modelling and modelling competencies in school. Mathematical Modelling (ICTMA 12): Education, Engineering and Economics, , 110-119. Retrieved from www.scopus.com Kaiser, G., & Schwarz, B. (2006). Mathematical modelling as bridge between school and university. ZDM - International Journal on Mathematics Education, 38(2), 196-208. doi:10.1007/BF02655889 Kaiser, G., & Stender, P. (2013). Complex modelling problems in co-operative, self-directed learning environments doi:10.1007/978-94-007-6540-5_23 Retrieved from www.scopus.com Kramarski, B., Mevarech, Z. R., & Arami, M. (2002). The effects of metacognitive instruction on solving mathematical authentic tasks. Educational Studies in Mathematics, 49(2), 225-250. doi:10.1023/A:1016282811724 Kwok, O. -., L. Cheung, M. W., Jak, S., Ryu, E., & Wu, J. -. (2018). Editorial: Recent advancements in structural equation modeling (SEM): From both methodological and application perspectives. Frontiers in Psychology, 9(OCT) doi:10.3389/fpsyg.2018.01936 Lesh, R., & Doerr, H. M. (2003). Foundations ofa models and modeling perspective on mathematics teaching, learning, and problem solving. Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 3-33) doi:10.4324/9781410607713-7 Retrieved from www.scopus.com Lesh, R., & Zawojewski, J. (2007). Problem solving and modeling. Second Handbook of Research on Mathematics Teaching and Learning, , 763-804. Retrieved from www.scopus.com Lingefjärd, T. (2011). Modelling from primary to upper secondary school: Findings of empirical research–Overview. International Perspectives on the Teaching and Learning of Mathematical Modelling, 1, 9-14. Retrieved from www.scopus.com Livingston, J. A. (1997). Metacognition: An overview. Metacognition: An Overview, Retrieved from www.scopus.com Maaß, K. (2006). What are modelling competencies? ZDM - International Journal on Mathematics Education, 38(2), 113-142. doi:10.1007/BF02655885 Mohamad, M., Mohammad, M., Mat Ali, N. A., & Awang, Z. (2018). The impact of life satisfaction on substance abuse: Delinquency as a mediator. International Journal of Adolescence and Youth, 23(1), 25-35. doi:10.1080/02673843.2016.1267021 Mohamed, Z., & Rosli, R. (2014). Development of A structural model with multicollinearity and outliers problems. EDUCATUM Journal of Science, Mathematics and Technology, 1(1), 38-52. Retrieved from www.scopus.com O'Neil, H. F., Jr., & Abedi, J. (1996). Reliability and validity of a state metacognitive inventory: Potential for alternative assessment. Journal of Educational Research, 89(4), 234-245. doi:10.1080/00220671.1996.9941208 Papaleountiou-Louca, E. (2008). Metacognition and Theory of Mind, Retrieved from www.scopus.com Pearl, J. (2012). The causal foundations of structural equation modeling. Handbook of Structural Equation Modeling, , 68-91. Retrieved from www.scopus.com Qin, Y., Zhang, R., Yuan, B., Xu, T., Chen, H., Yang, Y., & Hu, T. (2019). Structural equation modelling for associated factors with dental caries among 3-5-year-old children: A cross-sectional study. BMC Oral Health, 19(1) doi:10.1186/s12903-019-0787-4 Rasmussen, C., Zandieh, M., King, K., & Teppo, A. (2005). Advancing mathematical activity: A practice-oriented view of advanced mathematical thinking. Mathematical Thinking and Learning, 7(1), 51-73. Retrieved from www.scopus.com Rellensmann, J., Schukajlow, S., & Leopold, C. (2020). Measuring and investigating strategic knowledge about drawing to solve geometry modelling problems. ZDM - Mathematics Education, 52(1), 97-110. doi:10.1007/s11858-019-01085-1 Sawuwu, B. Y., Partana, C. F., & Hairida. (2018). Exploration of procedural knowledge of bilingual students in chemical equilibrium problem solving. EDUCATUM Journal of Science, Mathematics and Technology, 5(1), 14-23. Retrieved from www.scopus.com Schaap, S., Vos, P., & Goedhart, M. (2011). Students overcoming blockages while building a mathematical model: Exploring a framework doi:10.1007/978-94-007-0910-2_15 Retrieved from www.scopus.com Schoenfeld, A. H. (1983). Beyond the purely cognitive: Belief systems, social cognitions, and metacognitions as driving forces in intellectual performance. Cognitive Science, 7(4), 329-363. doi:10.1016/S0364-0213(83)80003-2 Schraw, G., & Moshman, D. (1995). Metacognitive theories. Educational Psychology Review, 7(4), 351-371. doi:10.1007/BF02212307 Schukajlow, S., Kaiser, G., & Stillman, G. (2018). Empirical research on teaching and learning of mathematical modelling: A survey on the current state-of-the-art. ZDM - Mathematics Education, 50(1-2), 5-18. doi:10.1007/s11858-018-0933-5 Seery, N., & Canty, D. (2017). Philosophy of technology: Themes and topics. Handbook of Technology Education, , 1-14. Retrieved from www.scopus.com Sekerak, J. (2010). Competences of mathematical modelling of high school students. Mathematics Teaching, 220, 8-12. Retrieved from www.scopus.com Sharma, A. (2013). Associations between Self-Efficacy Beliefs, Self-Regulated Learning Strategies, and Students' Performance on Model-Eliciting Tasks: An Examination of Direct and Indirect Effects, Retrieved from www.scopus.com Stillman, G. (2011). Applying metacognitive knowledge and strategies in applications and modelling tasks at secondary school doi:10.1007/978-94-007-0910-2_18 Retrieved from www.scopus.com Stillman, G., Galbraith, P., Brown, J., & Edwards, I. (2007). A framework for success in implementing mathematical modelling in the secondary classroom. Mathematics: Essential Research, Essential Practice, 2, 688-697. Retrieved from www.scopus.com Stillman, G. A., & Galbraith, P. L. (1998). Applying mathematics with real world connections: Metacognitive characteristics of secondary students. Educational Studies in Mathematics, 36(2), 157-194. doi:10.1023/a:1003246329257 Tavakol, M., & Dennick, R. (2011). Making sense of cronbach's alpha. International Journal of Medical Education, 2, 53-55. doi:10.5116/ijme.4dfb.8dfd Tian, Y., Fang, Y., & Li, J. (2018). The effect of metacognitive knowledge on mathematics performance in self-regulated learning framework-multiple mediation of self-efficacy and motivation. Frontiers in Psychology, 9(DEC) doi:10.3389/fpsyg.2018.02518 Tjalla, A., & Putriyani, M. F. (2018). Mathematics metacognitive skills of Papua’s students in solving mathematics problems. Asian Social Science, 14(7), 14-25. Retrieved from www.scopus.com Tran, D., & Dougherty, B. J. (2014). Authenticity of mathematical modeling. The Mathematics Teacher, 107(9), 672-678. Retrieved from www.scopus.com Treffers, A. (1987). Three Dimensions: A Model of Goal and Theory Description in Mathematics Instruction - the Wiskobas Project, Retrieved from www.scopus.com Treffers, A., & Goffree, F. (1985). Rational analysis of realistic mathematics education - the wiskobas program. Proceedings of the 9th International Conference for the Psychology of Mathematics Education, 2, 97-121. Retrieved from www.scopus.com Van den Heuvel-Panhuizen, M., & Drijvers, P. (2014). Realistic mathematics education. Encyclopedia of Mathematics Education, , 521-525. Retrieved from www.scopus.com Veenman, M. V. J., Van Hout-Wolters, B. H. A. M., & Afflerbach, P. (2006). Metacognition and learning: Conceptual and methodological considerations. Metacognition and Learning, 1(1), 3-14. doi:10.1007/s11409-006-6893-0 |
This material may be protected under Copyright Act which governs the making of photocopies or reproductions of copyrighted materials. You may use the digitized material for private study, scholarship, or research. |