Middle School Students’ Engagement in Mathematics and Learning Approaches: Structural Equation Modelling

Emine Ozgur Sen

doi:10.29333/pr/11908

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Emine Ozgur Sen ¹ ^*

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¹ Department of Mathematics and Science Education, Yozgat Bozok University, Yozgat, TURKEY^* Corresponding Author

Abstract

This study aims to investigate the effects of middle school students’ learning approaches and their attitudes towards mathematics on their engagement in mathematics course. The research cross-sectional survey design was used in the quantitative research model. The research was conducted with the participation of 5^th-8^th graders who attended schools located in a city in the Central Anatolian region of Turkey. Thus, 383 students in total, 209 of whom were female and 174 of whom were male, were included in the research. Three different data collection instruments were used in the study: student engagement in mathematics scale, approaches to learning mathematics scale, and scale for assessing attitudes towards mathematics in secondary education. The data were analyzed on structural equation modelling. As a result, significant correlations were found between participants’ engagement in mathematics course and their learning approaches while no significant differences were found between their engagement in mathematics and their attitudes towards the course.

Keywords

engagement
learning approaches
attitudes
mathematics

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

PEDAGOGICAL RES, Volume 7, Issue 2, April 2022, Article No: em0124

https://doi.org/10.29333/pr/11908

Publication date: 22 Mar 2022

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Declaration of Conflict of Interest: No conflict of interest is declared by author(s).

Data sharing statement: Data supporting the findings and conclusions are available upon request from the corresponding author(s).

References

Aiken, L. R. Jr. (1970). Attitudes toward mathematics. Review of Educational Research, 40(4), 551-596. https://doi.org/10.3102/00346543040004551
Anderson, J. C., & Gerbing, D. W. (1988). Structural equation modeling in practice: A review and recommended two-step approach. Psychological Bulletin, 103(3), 411-423. https://doi.org/10.1037/0033-2909.103.3.411
Azevedo, F. S., diSessa, A. A., & Sherin, B. L. (2012). An evolving framework for describing student engagement in classroom activities. The Journal of Mathematical Behavior, 31(2), 270-289. https://doi.org/10.1016/j.jmathb.2011.12.003
Biggs, J. (1979). Individual differences in study processes and the quality of learning outcomes. Higher Education, 8(4), 381-394. https://doi.org/10.1007/BF01680526
Bingham, G. E., & Okagaki, L. (2012). Ethnicity and student engagement. In S. L. Christenson, A. L. Reschly, & C. Wylie (Eds.), Handbook of research on student engagement (pp. 65-95). Springer. https://doi.org/10.1007/978-1-4614-2018-7_4
Browne, M. W., & Cudeck, R. (1993). Alternative ways of assessing model fit. In K. A. Bollen, & J. S. Long (Eds.), Testing structural equation models (pp. 136-162). SAGE.
Buyukozturk, S., Kılıc-Cakmak, E., Akgun, O. E., Karadeniz, S., & Demirel, F. (2018). Bilimsel araştırma yöntemleri [Scientific research methods]. Pegem.
Byrne, B. M. (1998). Structural equation modeling with LISREL, PRELIS, and SIMP-LIS: Basic concepts, applications, and programming. Lawrence Erbaum Associates Publisher.
Cagirgan, D., & Soyturk, I. (2021). The relationship between math anxiety, student engagement in mathematics and responsibilities towards learning among middle school students. Elementary Education Online, 20(1), 456-467. https://doi.org/10.17051/ilkonline.2021.01.040
Cano, F. (2007). Approaches to learning and study orchestrations in high school students. European Journal of Psychology of Education, 22(2), 131-151. https://doi.org/10.1007/BF03173518
Cano, F., & Berbén, A. B. G. (2009). University students’ achievement goals and approaches to learning in mathematics. British Journal of Educational Psychology, 79(1), 131-153. https://doi.org/10.1348/000709908X314928
Chan, K. W. (2003). Hong Kong teacher education students’ epistemological beliefs and approaches to learning. Research in Education, 69(1), 36-50. https://doi.org/10.7227/RIE.69.4
Chen, L., Bae, S. R., Battista, C., Qin, S., Chen, T., Evans, T. M., & Menon, V. (2018). Positive attitude toward math supports early academic success: Behavioral evidence and neurocognitive mechanisms. Psychological Science, 29(3), 390-402. https://doi.org/10.1177/0956797617735528
Chirikure, T., Govender, N., Sibanda, D., Kolobe, L., Good, M. A., & Ngema, S. (2019). Adding voices to physical sciences preservice teachers’ approaches to learning. African Journal of Research in Mathematics, Science and Technology Education, 23(2), 195-205. https://doi.org/10.1080/18117295.2019.1654211
Christenson, S. L., Reschly, A. L., Appleton, J. J., Berman-Young, S., Spanjers, D. M., & Varro, P. (2008). Best practices in fostering student engagement. In A. Thomas, & J. Grimes (Eds.), Best practices in school psychology (pp. 1099-1119). National Association of School Psychologists.
Darlington, E. (2011). Approaches to learning of undergraduate mathematicians. In British Society for Research into Learning Mathematics. Oxford, England.
Davidson, R. A. (2002). Relationship of study approach and exam performance. Journal of Accounting Education, 20(1), 29-44. https://doi.org/10.1016/S0748-5751(01)00025-2
Di Martino, P., & Zan, R. (2011). Attitude towards mathematics: A bridge between beliefs and emotions. ZDM Mathematics Education, 43(4), 471-482. https://doi.org/10.1007/s11858-011-0309-6
Diseth, Å., & Kobbeltvedt, T. (2010). A mediation analysis of achievement motives, goals, learning strategies, and academic achievement. British Journal of Educational Psychology, 80(4), 671-687. https://doi.org/10.1348/000709910X492432
Diseth, Å., & Martinsen, Ø. (2003). Approaches to learning, cognitive style, and motives as predictors of academic achievement. Educational Psychology, 23(2), 195-207. https://doi.org/10.1080/01443410303225
Ekinci, N. (2009). Learning approaches of university students. Education and Science, 34(151), 74-87.
Entwistle, N.J., & Waterston, S. (1988). Approaches to studying and levels of processing in university students. British Journal of Educational Psychology, 58(3), 258-265.
Finn, J. D., & Zimmer, K. S. (2012). Student engagement: What is it? Why does it matter? In S. Christenson, A. Reschly, & C. Wylie (Eds.), Handbook of research on student engagement (pp. 97-131). Springer. https://doi.org/10.1007/978-1-4614-2018-7_5
Floyd, K. S., Harrington, S. J., & Santiago J. (2009). The effect of engagement and perceived course value on deep and surface learning strategies. Informing Science: The International Journal of an Emerging Transdiscipline, 12, 181-190. https://doi.org/10.28945/435
Fredricks, J. A., Blumenfeld, P. C., & Paris, A. H. (2004). School engagement: Potential of the concept, state of the evidence. Review of Educational Research, 74(1), 59-109. https://doi.org/10.3102/00346543074001059
Fry, H., Ketteridge, S., & Marshall, S. (2003). A handbook for teaching and learning in higher education. Routledge.
George, D., & Mallery, M. (2010). SPSS for windows step by step: A simple guide and reference. Pearson.
Goh, P. S. C. (2016). Preservice teachers’ approaches to learning and their learning outcomes: A Malaysian experience. In R. King, & A. Bernardo (Eds.), The psychology of Asian learners (pp. 203-216). Springer. https://doi.org/10.1007/978-981-287-576-1_13
Goktepe-Yildiz, S., & Ozdemir, A. S. (2018). Determining the approaches to learning mathematics of middle school students. Elementary Education Online, 17(3), 1378-1401. https://doi.org/10.17051/ilkonline.2018.466358
Gopal, K., Salim, N. R., & Ayub, A. F. M. (2018, June). The influence of attitudes towards statistics on statistics engagement among undergraduate students in a Malaysian public university. In AIP Conference Proceedings (p. 050004). https://doi.org/10.1063/1.5041704
Hall, M., Ramsay, A., & Raven, J. (2004) Changing the learning environment to promote deep learning approaches in first-year accounting students. Accounting Education, 13(4), 489-505. https://doi.org/10.1080/0963928042000306837
Hannula, M. S. (2002). Attitude towards mathematics: Emotions, expectations and values. Educational Studies in Mathematics, 49(1), 25-46. https://doi.org/10.1023/A:1016048823497
Heikkilä, A., & Lonka, K. (2006). Studying in higher education: Students’ approaches to learning, self‐regulation, and cognitive strategies. Studies in Higher Education, 31(1), 99-117. https://doi.org/10.1080/03075070500392433
Hemmings, B., Grootenboer, P., & Kay, R. (2010). Predicting mathematics achievement: The influence of prior achievement and attitudes. International Journal of Science and Mathematics Education, 9(3), 691-705. https://doi.org/10.1007/s10763-010-9224-5
Hooper, D., Coughlan, J., & Mullen, M. (2008). Structural equation modelling: guidelines for determining model fit. Electronic Journal of Business Research Methods, 6(1), 53-60.
Kline, R. B. (1998). Structural equation modeling. Guilford Press.
Kong, Q. P., Wong, N. Y., & Lam, C. C. (2003). Student engagement in mathematics: Development of instrument and validation of construct. Mathematics Education Research Journal, 15(1), 4-21. https://doi.org/10.1007/BF03217366
Krause, K. L., & Coates, H. (2008). Students’ engagement in first‐year university. Assessment & Evaluation in Higher Education, 33(5), 493-505. https://doi.org/10.1080/02602930701698892
Lijie, Z., Zongzhao, M., & Ying, Z. (2020). The influence of mathematics attitude on academic achievement: Intermediary role of mathematics learning engagement. Jurnal Cendekia: Jurnal Pendidikan Matematika [Scholar’s Journal: Journal of Mathematics Education], 4(2), 460-467. https://doi.org/10.31004/cendekia.v4i2.253
Lipnevich, A. A., Preckel, F., & Krumm, S. (2016). Mathematics attitudes and their unique contribution to achievement: Going over and above cognitive ability and personality. Learning and Individual Differences, 47, 70-79. https://doi.org/10.1016/j.lindif.2015.12.027
Liston, M., & O’Donoghue, J. (2010). Factors influencing the transition to university service mathematics: Part 2 a qualitative study. Teaching Mathematics and its Applications: An International Journal of the IMA, 29(2), 53-68. https://doi.org/10.1093/teamat/hrq005
Liu, R. D., Zhen, R., Ding, Y., Liu, Y., Wang, J., Jiang, R., & Xu, L. (2018). Teacher support and math engagement: Roles of academic self-efficacy and positive emotions. Educational Psychology, 38(1), 3-16. https://doi.org/10.1080/01443410.2017.1359238
Lucas, U. (2001). Deep and surface approaches to learning within introductory accounting: A phenomenographic study. Accounting Education, 10(2), 161-184. https://doi.org/10.1080/09639280110073443
Ma, X. (1997). Reciprocal relationships between attitude toward mathematics and achievement in mathematics. The Journal of Educational Research, 90(4), 221-229. https://doi.org/10.1080/00220671.1997.10544576
Maciejewski, W., & Merchant, S. (2016). Mathematical tasks, study approaches, and course grades in undergraduate mathematics: A year-by-year analysis. International Journal of Mathematical Education in Science and Technology, 47(3), 373-387. https://doi.org/10.1080/0020739X.2015.1072881
Martin, D. P., & Rimm-Kaufman, S. E. (2015). Do student self-efficacy and teacher-student interaction quality contribute to emotional and social engagement in fifth grade math? Journal of School Psychology, 53(5), 359-373. https://doi.org/10.1016/j.jsp.2015.07.001
Marton, F., & Säljö, R. (1976). On qualitative differences in learning: I-Outcome and process. British Journal of Educational Psychology, 46(1), 4-11. https://doi.org/10.1111/j.2044-8279.1976.tb02980.x
Mayes, R., Chase, P. N., & Walker, V. L. (2008). Supplemental practice and diagnostic assessment in an applied college algebra course. Journal of College Reading and Learning, 38(2), 7-30. https://doi.org/10.1080/10790195.2008.10850306
Mazman-Akar, S. G., Birgin, O., Goksu, B., Uzun, K., Gumus, B., & Peker, E. S. (2017). Adaptation of student engagement in mathematics scale into Turkish. Turkish Journal of Computer and Mathematics Education, 8(1), 28-51. https://doi.org/10.16949/turkbilmat.286926
Moenikia, M., & Zahed-Babelan, A. (2010). A study of simple and multiple relations between mathematics attitude, academic motivation and intelligence quotient with mathematics achievement. Procedia-Social and Behavioral Sciences, 2(2), 1537-1542. https://doi.org/10.1016/j.sbspro.2010.03.231
Mohd, N., Mahmood, T. F. P. T., & Ismail, M. N. (2011). Factors that influence students in mathematics achievement. International Journal of Academic Research, 3(3), 49-54.
Moore, N., & Gilmartin, M. (2010). Teaching for better learning: A blended learning pilot project with first-year geography undergraduates. Journal of Geography in Higher Education, 34(3), 327-344. https://doi.org/10.1080/03098265.2010.501552
Murphy, P. E. L. (2017). Student approaches to learning, conceptions of mathematics, and successful outcomes in learning mathematics. In L. Wood, & Y. Breyer (Eds.), Success in higher education (pp. 75-93). Springer. https://doi.org/10.1007/978-981-10-2791-8_5
Nayir, K. F. (2015). The relationship between students’ engagement level and their attitudes toward school. The Anthropologist, 20(1-2), 50-61. https://doi.org/10.1080/09720073.2015.11891723
NCTM. (2014). Principles to actions: Ensuring mathematics success for all. National Council of Teachers of Mathematics.
Pallant, J. (2013). SPSS survival manual. McGraw-Hill Education.
Primi, C., Bacherini, A., Beccari, C., & Donati, M. A. (2020). Assessing math attitude through the attitude toward mathematics inventory-short form in introductory statistics course students. Studies in Educational Evaluation, 64, 100838. https://doi.org/10.1016/j.stueduc.2020.100838
Ramsden, P. (1979). Student learning and perceptions of the academic environment. Higher Education, 8(4), 411-427. https://doi.org/10.1007/BF01680529
Ramsden, P. (1981). A study of the relationship between academic learning and its context [Unpublished doctoral thesis]. University of Lancaster.
Raykov, T., & Marcoulides, G. A. (2000). A first course in structural equation modeling. Lawrence Erlbaum Associates.
Reeve, J. (2012). A self-determination theory perspective on student engagement. In S. Christenson, A. Reschly, & C. Wylie (Eds.), Handbook of research on student engagement (pp. 149-172). Springer. https://doi.org/10.1007/978-1-4614-2018-7_7
Reyes, M. R., Brackett, M. A., Rivers, S. E., White, M., & Salovey, P. (2012). Classroom emotional climate, student engagement, and academic achievement. Journal of Educational Psychology, 104(3), 700-712. http://doi.org/10.1037/a0027268
Rimm-Kaufman, S. E. (2010). Student engagement in mathematics scale (SEMS) [Unpublished measure]. University of Virginia.
Sagkal, A. S., & Sonmez, M. T. (2021). The effects of perceived parental math support on middle school students’ math engagement: The serial multiple mediation of math self-efficacy and math enjoyment. European Journal of Psychology of Education. https://doi.org/10.1007/s10212-020-00518-w
Segers, M., Gijbels, D., & Thurlings, M. (2008). The relationship between students’ perceptions of portfolio assessment practice and their approaches to learning. Educational Studies, 34(1), 35-44. https://doi.org/10.1080/03055690701785269
Sen, O. (2019). Turkish adaptation study of attitudes towards mathematics in secondary school students. International Journal of Social and Educational Sciences, 6(11), 62-74.
Singh, K., Granville, M., & Dika, S. (2002). Mathematics and science achievement: Effects of motivation, interest, and academic engagement. The Journal of Educational Research, 95(6), 323-332. https://doi.org/10.1080/00220670209596607
Skilling, K., Bobis, J., Martin, A. J., Anderson, J., & Way, J. (2016). What secondary teachers think and do about student engagement in mathematics. Mathematics Education Research Journal, 28(4), 545-566. https://doi.org/10.1007/s13394-016-0179-x
Skinner, E. A., & Pitzer, J. R. (2012). Developmental dynamics of student engagement, coping, and everyday resilience. In S. Christenson, A. Reschly, & C. Wylie (Eds.), The handbook of research on student engagement (pp. 21-44). Springer. https://doi.org/10.1007/978-1-4614-2018-7_2
Soni, A., & Kumari, S. (2017). The role of parental math anxiety and math attitude in their children’s math achievement. International Journal of Science and Mathematics Education, 15(2), 331-347. https://doi.org/10.1007/s10763-015-9687-5
Tabachnick, B. G., & Fidell, L. S. (2001). Using multivariate statistics. Allyn & Bacon/Pearson Education.
Tapia, M., & Marsh, G. E. I. I. (2004). An instrument to measure mathematics attitudes. Academic Exchange Quarterly, 8(2), 16-21.
Taylor, L. (1992). Mathematical attitude development from a Vygotskian perspective. Mathematics Education Research Journal, 4(3), 8-23. https://doi.org/10.1007/BF03217243
Thompson, B. (2004). Exploratory and confirmatory factor analysis: Understanding concepts and applications. American Psychological Association. https://doi.org/10.1037/10694-000
Trenholm, S., Hajek, B., Robinson, C. L., Chinnappan, M., Albrecht, A., & Ashman H. (2018). Investigating undergraduate mathematics learners’ cognitive engagement with recorded lecture videos. International Journal of Mathematical Education in Science and Technology, 50(1), 3-24. https://doi.org/10.1080/0020739X.2018.1458339
Tuncer, M., & Yilmaz, O. (2020). Relations attitude towards mathematics lessons: Anxiety and academic success. REDIMAT – Journal of Research in Mathematics Education, 9(2), 173-195. https://doi.org/10.17583/redimat.2020.4061
Wang, M. T., Fredricks, J. A., Ye, F., Hofkens, T. L., & Linn, J. S. (2016). The math and science engagement scales: Scale development, validation, and psychometric properties. Learning and Instruction, 43, 16-26. https://doi.org/10.1016/j.learninstruc.2016.01.008
Wang, Y. L., Liang, J. C., Lin, C. Y., & Tsai, C. C. (2017). Identifying Taiwanese junior-high school students’ mathematics learning profiles and their roles in mathematics learning self-efficacy and academic performance. Learning and Individual Differences, 54, 92-101. https://doi.org/10.1016/j.lindif.2017.01.008
Willms, J. D. (2003). Student engagement at school: A sense of belonging and participation: Results from PISA 2000. Organization for Economic Co-operation and Development. https://www.oecd.org/education/school/programmeforinternationalstudentassessmentpisa/33689437.pdf
Yáñez-Marquina, L. & Villardón-Gallego, L. (2016). Attitudes towards mathematics at secondary level: Development and structural validation of the scale for assessing attitudes towards mathematics in secondary education (SATMAS). Electronic Journal of Research in Educational Psychology, 14(3), 557-581.
Yang, X. (2015). Rural junior secondary school students’ perceptions of classroom learning environments and their attitude and achievement in mathematics in West China. Learning Environments Research, 18(2), 249-266. https://doi.org/101007/s10984015-9184-3
Yenilmez, K., Girginer, N., & Uzun, O. (2007). Mathematics anxiety and attitude level of students of the faculty of economics and business administrator: The Turkey model. International Mathematical Forum, 2(41), 1997-2021. https://doi.org/10.12988/imf.2007.07181

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Sen, E. O. (2022). Middle School Students’ Engagement in Mathematics and Learning Approaches: Structural Equation Modelling. Pedagogical Research, 7(2), em0124. https://doi.org/10.29333/pr/11908

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Sen EO. Middle School Students’ Engagement in Mathematics and Learning Approaches: Structural Equation Modelling. PEDAGOGICAL RES. 2022;7(2):em0124. https://doi.org/10.29333/pr/11908

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Sen EO. Middle School Students’ Engagement in Mathematics and Learning Approaches: Structural Equation Modelling. PEDAGOGICAL RES. 2022;7(2), em0124. https://doi.org/10.29333/pr/11908

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Sen, Emine Ozgur. "Middle School Students’ Engagement in Mathematics and Learning Approaches: Structural Equation Modelling". Pedagogical Research 2022 7 no. 2 (2022): em0124. https://doi.org/10.29333/pr/11908

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Sen, E. O. (2022). Middle School Students’ Engagement in Mathematics and Learning Approaches: Structural Equation Modelling. Pedagogical Research, 7(2), em0124. https://doi.org/10.29333/pr/11908

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Sen, Emine Ozgur "Middle School Students’ Engagement in Mathematics and Learning Approaches: Structural Equation Modelling". Pedagogical Research, vol. 7, no. 2, 2022, em0124. https://doi.org/10.29333/pr/11908