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Abstract

The aim of this study is to understand the relationship between teacher and student mindsets in relation to the student’s comprehension of mathematics concepts. This study used a qualitative research type with a case study method. Participants in this study were 30 students and one teacher from one of the public junior high schools in Cianjur, Indonesia. Data sources used in this study were collected through teacher and student questionnaires, class observations, and semi-structured interviews. The class observation material was about linear function, and the learning process was carried out using the Complex Instruction (CI) approach based on growth mindset instruction. The questionnaire results show that teachers and students tend to have a fixed mindset. The fixed mindset of both the students and the teacher is particularly evident in their beliefs about the nature of math and their orientation towards student mastery and performance. The results of observations and interviews show a relationship between this mindset and student performance in class. Most students tend to show low performance in understanding linear function concepts. Based on the observations, students experienced problems in algebra thinking, had difficulty understanding mathematical concepts as a whole, and showed a lack of motivation and self-confidence. The results indicate that there is a significant relationship between the fixed mindsets of teachers and students towards students' lower performance in mathematics learning in the classroom.

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Case Study Fixed Mindset Growth Mindset Mathematical Mindset

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Maskar, S., & Herman, T. (2024). The relation between teacher and students’ mathematical mindsets to the student’s comprehension of mathematics concepts. Journal on Mathematics Education, 15(1), 27–54. https://doi.org/10.22342/jme.v15i1.pp27-54
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References

  1. Aguilar, J. J. (2021). High School Students’ Reasons for disliking Mathematics: The Intersection Between Teacher’s Role and Student’s Emotions, Belief and Self-efficacy. International Electronic Journal of Mathematics Education, 16(3), em0658. https://doi.org/10.5642/10.29333/iejme/11294
  2. Alt, H. W. (2016). Linear functional analysis. An Application-oriented Introduction. https://link.springer.com/book/10.1007/978-1-4471-7280-2
  3. Alvidrez, M., Louie, N., & Tchoshanov, M. (2022). From mistakes, we learn? Mathematics teachers’ epistemological and positional framing of mistakes. Journal of Mathematics Teacher Education, 1–26. https://doi.org/10.1007/s10857-022-09553-4
  4. Anderson, R. K., Boaler, J., & Dieckmann, J. A. (2018). Achieving elusive teacher change through challenging myths about learning: A blended approach. Education Sciences, 8(3), 98. https://doi.org/10.3390/educsci8030098
  5. Aswin, A., & Herman, T. (2022). Self-Efficacy in Mathematics Learning and Efforts to Improve It. Hipotenusa: Journal of Mathematical Society, 4(2), 185–198. https://doi.org/10.18326/hipotenusa.v4i2.8095
  6. Avvisati, F., Echazarra, A., Givord, P., & Schwabe, M. (2018). What 15-year-old students in Indonesia know and can do. Programme for International Student Assessment (PISA) Result from PISA, 1–10. https://www.oecd.org/pisa/publications/PISA2018_CN_IDN.pdf
  7. Blackwell, L. S., Trzesniewski, K. H., & Dweck, C. S. (2007). Implicit theories of intelligence predict achievement across an adolescent transition: A longitudinal study and an intervention. Child Development, 78(1), 246–263. https://doi.org/10.1111/j.1467-8624.2007.00995.x
  8. Boaler, J. (2019a). Limitless mind: Learn, lead, and live without barriers. HarperCollins. https://www.harpercollins.com/products/limitless-mind-jo-boaler?variant=39418095173666
  9. Boaler, J. (2019b). Prove It to Me! Mathematics Teaching in the Middle School, 24(7), 422–428. https://doi.org/10.5951/mathteacmiddscho.24.7.0422
  10. Boaler, J. (2022). Mathematical mindsets: Unleashing students’ potential through creative mathematics, inspiring messages and innovative teaching. John Wiley & Sons. https://www.wiley.com/en-sg/Mathematical+Mindsets:+Unleashing+Students'+Potential+through+Creative+Mathematics,+Inspiring+Messages+and+Innovative+Teaching,+2nd+Edition-p-9781119823070
  11. Boaler, J., Brown, K., LaMar, T., Leshin, M., & Selbach-Allen, M. (2022). Infusing Mindset through Mathematical Problem Solving and Collaboration: Studying the Impact of a Short College Intervention. Education Sciences, 12(10), 1-21. https://doi.org/10.3390/educsci12100694
  12. Boaler, J., Dieckmann, J. A., LaMar, T., Leshin, M., Selbach-Allen, M., & Pérez-Núñez, G. (2021). The transformative impact of a mathematical mindset experience taught at scale. Frontiers in Education, 512. https://doi.org/10.3389/feduc.2021.784393
  13. Boaler, J., & Sengupta-Irving, T. (2016). The many colors of algebra: The impact of equity focused teaching upon student learning and engagement. The Journal of Mathematical Behavior, 41, 179–190. https://doi.org/10.1016/j.jmathb.2015.10.007
  14. Boyer, J.-C., & Mailloux, N. (2015). Student teachers’ self-perception of their mathematical skills and their conceptions about teaching mathematics in primary schools. Procedia-Social and Behavioral Sciences, 174, 1434–1442. https://doi.org/10.1016/j.sbspro.2015.01.772
  15. Brewster, B. J. M., & Miller, T. (2020). Missed Opportunity in Mathematics Anxiety. International Electronic Journal of Mathematics Education, 15(3), em0600. https://doi.org/0.29333/iejme/8405
  16. Birgin, O. (2012). Investigation of eighth-grade students' understanding of the slope of the linear function. Bolema: Boletim de Educação Matemática, 26, 139-162. https://doi.org/10.1590/S0103-636X2012000100008
  17. Carter, N., Bryant-Lukosius, D., DiCenso, A., Blythe, J., & Neville, A. J. (2014). The use of triangulation in qualitative research. Oncol Nurs Forum, 41(5), 545–547. https://doi.org/10.1188/14.ONF.545-547
  18. Cohen, E. G., Lotan, R. A., Scarloss, B. A., & Arellano, A. R. (1999). Complex instruction: Equity in cooperative learning classrooms. Theory into Practice, 38(2), 80–86. https://doi.org/10.1080/00405849909543836
  19. Crowe, S., Cresswell, K., Robertson, A., Huby, G., Avery, A., & Sheikh, A. (2011). The case study approach. BMC Medical Research Methodology, 11(1), 1–9. https://doi.org/10.1186/1471-2288-11-100
  20. De Kraker-Pauw, E., Van Wesel, F., Krabbendam, L., & Van Atteveldt, N. (2017). Teacher mindsets concerning the malleability of intelligence and the appraisal of achievement in the context of feedback. Frontiers in Psychology, 8, 1594. https://doi.org/10.3389/fpsyg.2017.01594
  21. Duckworth, A. (2016). Grit: The power of passion and perseverance (Vol. 234). Scribner New York, NY. https://psycnet.apa.org/record/2016-30309-000
  22. Dweck, C. S. (2006). Mindset: The new psychology of success. Random house. https://www.randomhousebooks.com/books/44330/
  23. Dweck, C. S. (2007). Is math a gift? Beliefs that put females at risk. American Psychological Association. https://doi.org/10.1037/11546-004
  24. Dweck, C. S. (2008). Mindsets and math/science achievement. Carnegie Corporation of New York-Institute for Advanced Study Commission on Mathematics and Science Education, vol. 4. http://www.growthmindsetmaths.com/uploads/2/3/7/7/23776169/mindset_and_math_science_achievement_-_nov_2013.pdf.
  25. Elizar, E., & Khairunnisak, C. (2022). Exploring Teacher’s and Students’beliefs Concerning Higher Order Thinking in Mathematics. Transformasi: Jurnal Pendidikan Matematika Dan Matematika, 6(1), 87–94. https://doi.org/10.36526/tr.v6i1.1958
  26. Etikan, I., Musa, S. A., & Alkassim, R. S. (2016). Comparison of convenience sampling and purposive sampling. American Journal of Theoretical and Applied Statistics, 5(1), 1–4. https://doi.org/ 10.11648/j.ajtas.20160501.11
  27. Feagin, J. R., Orum, A. M., & Sjoberg, G. (2016). A case for the case study. UNC Press Books. https://uncpress.org/book/9780807843215/a-case-for-the-case-study/
  28. Flick, U. (2018). Triangulation in data collection. The SAGE Handbook of Qualitative Data Collection, 527–544. https://doi.org/10.4135/9781526416070
  29. Furner, J. M., & Gonzalez-DeHass, A. (2011). How do students’ mastery and performance goals relate to math anxiety? Eurasia Journal of Mathematics, Science and Technology Education, 7(4), 227–242. https://doi.org/10.12973/ejmste/75209
  30. Guimarães, L. M., & Lima, R. da S. (2021). A systematic literature review of classroom observation protocols and their adequacy for engineering education in active learning environments. European Journal of Engineering Education, 46(6), 908–930. https://doi.org/10.1080/03043797.2021.1937946
  31. Haavold, P. Ø., & Sriraman, B. (2022). Creativity in problem solving: integrating two different views of insight. ZDM–Mathematics Education, 54(1), 83–96. https://doi.org/10.1007/s11858-021-01304-8
  32. Hagan, J. E., Amoaddai, S., Lawer, V. T., & Atteh, E. (2020). Students’ perception towards mathematics and its effects on academic performance. Asian Journal of Education and Social Studies, 8(1), 8–14. https://doi.org/10.9734/ajess/2020/v8i130210
  33. Hannula, M. S., Maijala, H., & Pehkonen, E. (2004). Development of Understanding and Self-Confidence in Mathematics; Grades 5-8. International Group for the Psychology of Mathematics Education, 3(1), 17-24. https://eric.ed.gov/?id=ED489565
  34. Heale, R., & Twycross, A. (2018). What is a case study?. Evidence-based nursing, 21(1), 7-8. http://dx.doi.org/10.1136/eb-2017-102845
  35. Heinze, A., Reiss, K., & Franziska, R. (2005). Mathematics achievement and interest in mathematics from a differential perspective. ZDM, 37, 212–220. https://doi.org/10.1007/s11858-005-0011-7
  36. Henningsen, M., & Stein, M. K. (1997). Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning. Journal for Research in Mathematics Education, 28(5), 524–549. https://doi.org/10.5951/jresematheduc.28.5.052
  37. Herman, T. (2018). Analysis of students’ mathematical reasoning. Journal of Physics: Conference Series, 948(1), 1-8. https://doi.org/10.1088/1742-6596/948/1/012036
  38. Huang, X., Zhang, J., & Hudson, L. (2019). Impact of math self-efficacy, math anxiety, and growth mindset on math and science career interest for middle school students: The gender moderating effect. European Journal of Psychology of Education, 34, 621–640. https://doi.org/10.1007/s10212-018-0403-z
  39. Hurst, M., & Cordes, S. (2017). When being good at math is not enough: How students’ beliefs about the nature of mathematics impact decisions to pursue optional math education. In Understanding emotions in mathematical thinking and learning (pp. 221–241). Elsevier. https://doi.org/10.1016/B978-0-12-802218-4.00008-X
  40. Hwang, N., Reyes, M., & Eccles, J. S. (2019). Who holds a fixed mindset and whom does it harm in mathematics? Youth & Society, 51(2), 247–267. https://doi.org/10.1177/0044118X16670058
  41. Jaffe, E. (2020). Mindset in the classroom: Changing the way students see themselves in mathematics and beyond. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 93(5), 255–263. https://doi.org/10.1080/00098655.2020.1802215
  42. Kane, B. D., & Saclarides, E. S. (2022). Doing the math together: coaches’ professional learning through engagement in mathematics. Journal of Mathematics Teacher Education, 1–30. https://doi.org/10.1007/s10857-021-09527-y
  43. Kane, J., & Mertz, J. (2012). Debunking the myth: Sex differences in math performance. Notices of the American Mathematical Society, 59, 10–21. https://doi.org/10.1090/noti790
  44. Kilpatrick, J., Swafford, J., Findell, B., & council, N. research. (2001). Adding it up: Helping children learn mathematics (Vol. 2101). National Academy Press Washington, DC. https://doi.org/10.17226/9822
  45. Kloosterman, P. (2002). Beliefs About Mathematics and Mathematics Learning in the Secondary School: Measurement and Implications for Motivation. In: Leder, G.C., Pehkonen, E., Törner, G. (eds) Beliefs: A Hidden Variable in Mathematics Education?. Mathematics Education Library, vol 31. Springer, Dordrecht. https://doi.org/10.1007/0-306-47958-3_15
  46. Kroeper, K. M., Fried, A. C., & Murphy, M. C. (2022). Towards fostering growth mindset classrooms: Identifying teaching behaviors that signal instructors’ fixed and growth mindsets beliefs to students. Social Psychology of Education, 25(2–3), 371–398. https://doi.org/10.1007/s11218-022-09689-4
  47. Kusumaningsih, W., & Herman, T. (2018). Improvement Algebraic Thinking Ability Using Multiple Representation Strategy on Realistic Mathematics Education. Journal on Mathematics Education, 9(2), 281–290. https://doi.org/10.22342/jme.9.2.5404.281-290
  48. LaMar, T., Leshin, M., & Boaler, J. (2020). The derailing impact of content standards–an equity focused district held back by narrow mathematics. International Journal of Educational Research Open, 1, 100015. https://doi.org/10.1016/j.ijedro.2020.100015
  49. Lee, H. Y., Jamieson, J. P., Miu, A. S., Josephs, R. A., & Yeager, D. S. (2019). An entity theory of intelligence predicts higher cortisol levels when high school grades are declining. Child Development, 90(6), e849–e867. https://doi.org/10.1111/cdev.13116
  50. Li, Y., & Bates, T. C. (2019). You can’t change your basic ability, but you work at things, and that’s how we get hard things done: Testing the role of growth mindset on response to setbacks, educational attainment, and cognitive ability. Journal of Experimental Psychology: General, 148(9), 1640–1655. https://doi.org/10.1037/xge0000669
  51. Magaldi, D., & Berler, M. (2020). Semi-structured Interviews. In: Zeigler-Hill, V., Shackelford, T.K. (eds) Encyclopedia of Personality and Individual Differences. Springer, Cham. https://doi.org/10.1007/978-3-319-24612-3_857
  52. Mann, E. L. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30(2), 236–260. https://doi.org/10.4219/jeg-2006-264
  53. Masitoh, L. F., & Fitriyani, H. (2018). Improving students’ mathematics self-efficacy through problem based learning. Malikussaleh Journal of Mathematics Learning (MJML), 1(1), 26–30. https://doi.org/10.29103/mjml.v1i1.679
  54. Miller, K., & Gerlach, J. (1997). A Study of Student Departure from Developmental Courses. Research and Teaching in Developmental Education, 13(2), 71–84. http://www.jstor.org/stable/42801965
  55. Moser, J. S., Schroder, H. S., Heeter, C., Moran, T. P., & Lee, Y.-H. (2011). Mind your errors: Evidence for a neural mechanism linking growth mind-set to adaptive posterror adjustments. Psychological Science, 22(12), 1484–1489. https://doi.org/10.1177/0956797611419520
  56. Muis, K. R. (2004). Personal epistemology and mathematics: A critical review and synthesis of research. Review of Educational Research, 74(3), 317–377. https://doi.org/10.3102/00346543074003317
  57. Negara, H. R. P., Nurlaelah, E., Herman, T., & Tamur, M. (2021). Mathematics self efficacy and mathematics performance in online learning. In Journal of Physics: Conference Series (Vol. 1882, No. 1, p. 012050). IOP Publishing. https://doi.org/10.1088/1742-6596/1882/1/012050
  58. Nurita, L., Riyadi, R., & Komarudin, K. (2022). The Influence Self Efficacy, Flow, through Achievement Motivation on Mathematics Learning Outcomes of Class VIII Students in DKI Jakarta Region. Budapest International Research and Critics Institute-Journal (BIRCI-Journal), 5(3), 24648- 24659. https://doi.org/10.33258/birci.v5i3.6494
  59. Owusu, R., Awuni, D. A., Arthur, Y. D., & Gordon, J. F. (2022). Roles of Classroom Management and Mastery-Oriented Instructions on Relationship Between Pedagogical Content Knowledge and Mathematics Achievement. Contemporary Mathematics and Science Education, 3(2), ep22016. https://doi.org/10.30935/conmaths/12340
  60. Öztürk, M., Akkan, Y., & Kaplan, A. (2020). Reading comprehension, Mathematics self-efficacy perception, and Mathematics attitude as correlates of students’ non-routine Mathematics problem-solving skills in Turkey. International Journal of Mathematical Education in Science and Technology, 51(7), 1042–1058. https://doi.org/10.1080/0020739X.2019.1648893
  61. Pink, D. H. (2011). Drive: The surprising truth about what motivates us. Penguin. https://www.penguinrandomhouse.com/books/301674/drive-by-daniel-h-pink/
  62. Pierce, R., Stacey, K., & Bardini, C. (2010). Linear functions: teaching strategies and students' conceptions associated with y= mx+ c. Pedagogies: An International Journal, 5(3), 202-215. https://doi.org/10.1080/1554480X.2010.486151
  63. Postelnicu, V. (2011). Student difficulties with linearity and linear functions and teachers' understanding of student difficulties. Arizona State University. https://keep.lib.asu.edu/_flysystem/fedora/c7/29591/Postelnicu_asu_0010E_10384.pdf
  64. Radford, L. (2018). The Emergence of Symbolic Algebraic Thinking in Primary School. In: Kieran, C. (eds) Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-68351-5_1
  65. Rahardi, F., & Dartanto, T. (2021). Growth mindset, delayed gratification, and learning outcome: evidence from a field survey of least-advantaged private schools in Depok-Indonesia. Heliyon, 7(4), e06681. https://doi.org/10.1016/j.heliyon.2021.e06681
  66. Rai, N., & Thapa, B. (2015). A study on purposive sampling method in research. Kathmandu: Kathmandu School of Law, 5. https://www.academia.edu/28087388/A_STUDY_ON_PURPOSIVE_SAMPLING_METHOD_IN_RESEARCH
  67. Rhew, E., Piro, J. S., Goolkasian, P., & Cosentino, P. (2018). The effects of a growth mindset on self-efficacy and motivation. Cogent Education, 5(1), 1492337. https://doi.org/10.1080/2331186X.2018.1492337
  68. Samuel, T. S., Buttet, S., & Warner, J. (2022). “I Can Math, Too!”: Reducing Math Anxiety in STEM-Related Courses Using a Combined Mindfulness and Growth Mindset Approach (MAGMA) in the Classroom. Community College Journal of Research and Practice, 1(1), 1–14. https://doi.org/10.1080/10668926.2022.2050843
  69. Schmidt, C. (2004). The analysis of semi-structured interviews. A Companion to Qualitative Research, 253(41), 253-258. https://doi.org/10.1007/10.12691/jfs-7-5-4
  70. Schmidt, W. H., Houang, R. T., Cogan, L., Blömeke, S., Tatto, M. T., Hsieh, F. J., Santillan, M., Bankov, K., Han, S. Il, & Cedillo, T. (2008). Opportunity to learn in the preparation of mathematics teachers: Its structure and how it varies across six countries. Zdm, 40, 735–747. https://doi.org/10.1007/s11858-008-0115-y
  71. Schoenfeld, A. H. (1989). Explorations of students’ mathematical beliefs and behavior. Journal for Research in Mathematics Education, 20(4), 338–355. https://doi.org/10.5951/jresematheduc.20.4.0338
  72. Selbach-Allen, M. E., Williams, C. A., & Boaler, J. (2020). What Would the Nautilus Say? Unleashing Creativity in Mathematics! Journal of Humanistic Mathematics, 10(2), 391–414. https://doi.org/10.5642/jhummath.202002.18
  73. Setiawan, E. P., Pierewan, A. C., & Montesinos-López, O. A. (2021). Growth Mindset, School Context, and Mathematics Achievement in Indonesia: A Multilevel Model. Journal on Mathematics Education, 12(2), 279–294. https://doi.org/10.22342/jme.12.2.13690.279-294
  74. Sibgatullin, I. R., Korzhuev, A. V, Khairullina, E. R., Sadykova, A. R., Baturina, R. V, & Chauzova, V. (2022). A Systematic Review on Algebraic Thinking in Education. Eurasia Journal of Mathematics, Science and Technology Education, 18(1), 1-15. https://doi.org/10.29333/ejmste/11486
  75. Sun, K. L. (2015). There’s no limit: Mathematics teaching for a growth mindset. Stanford University. https://purl.stanford.edu/xf479cc2194
  76. Sun, K. L. (2018). Brief report: The role of mathematics teaching in fostering student growth mindset. Journal for Research in Mathematics Education, 49(3), 330–335. https://doi.org/10.5951/jresematheduc.49.3.0330
  77. Szczygieł, M., & Pieronkiewicz, B. (2022). Exploring the nature of math anxiety in young children: Intensity, prevalence, reasons. Mathematical Thinking and Learning, 24(3), 248–266. https://doi.org/10.1080/10986065.2021.1882363
  78. Tambunan, H. (2018). The Dominant Factor of Teacher’s Role as a Motivator of Students’ Interest and Motivation in Mathematics Achievement. International Education Studies, 11(4), 144–151. https://doi.org/0.5539/ies.v11n4p144
  79. Uwerhiavwe, A. A. (2023). The Influence of Learners’ Mindsets on Their Mathematics Learning. Creative Education, 14(1), 74–102. https://doi.org/10.4236/ce.2023.141007
  80. Yu, J., Kreijkes, P., & Salmela-Aro, K. (2022). Students’ growth mindset: Relation to teacher beliefs, teaching practices, and school climate. Learning and Instruction, 80, 101616. https://doi.org/10.1016/j.learninstruc.2022.101616
  81. Zohar, A., Degani, A., & Vaaknin, E. (2001). Teachers’ beliefs about low-achieving students and higher order thinking. Teaching and Teacher Education, 17(4), 469–485. https://doi.org/10.1016/S0742-051X(01)00007-5