Journal of Research in Science, Mathematics and Technology Education

Examining the Connections between Students’ General Perceptions of Mathematics and their Affiliations with Specific Lesson Segments

Journal of Research in Science, Mathematics and Technology Education, Volume 8, Issue SI, June 2025, pp. 383-401
OPEN ACCESS VIEWS: 47 DOWNLOADS: 21 Publication date: 15 Jun 2025
ABSTRACT
As students learn school mathematics, they form identities about what it means to be mathematically competent. These identities both influence and are influenced by their general perceptions of school mathematics and their moment-to-moment experiences in mathematics classrooms. This study explores, through lesson observations, individual student surveys, and interviews, the connections that exist among secondary students’ general perceptions of school mathematics, their perceived mathematical competence, and how they identify with various lesson segments in their mathematics classrooms. The findings show that although there exists some explicit connections between students’ general mathematics identities and their affiliations with various lesson segments, students’ identity narratives for specific lesson segments vary based on the value they attach to those lesson segments. Implications for these findings are discussed, including the caution against educators holding a single identity marker for students.
KEYWORDS
Lesson Segments, Identity narratives, School Mathematics
CITATION (APA)
Wambua, M. M. (2025). Examining the Connections between Students’ General Perceptions of Mathematics and their Affiliations with Specific Lesson Segments. Journal of Research in Science, Mathematics and Technology Education, 8(SI), 383-401. https://doi.org/10.31756/jrsmte.4116SI
REFERENCES
  1. Andersson, A., Valero, P., & Meaney, T. (2015). “I am [not always] a math’s hater”: Shifting students’ identity narratives in context. Educational Studies in Mathematics, 90, 143–161. https://doi.org/10.1007/s10649-015-9617-z
  2. Berry, R. Q. (2008). Access to upper-level mathematics: The stories of successful African American middle school boys. Journal for Research in Mathematics Education, 39(5), 464–488. https://doi.org/10.5951/jresematheduc.39.5.0464
  3. Bishop, J. P. (2012). “She’s always been the smart one. I've always been the dumb one”: Identities in the mathematics classroom. Journal for Research in Mathematics Education, 43(1), 34–74. https://doi.org/10.5951/jresematheduc.43.1.0034
  4. Boaler, J. (2000). Mathematics from another world: Traditional communities and the alienation of learners. The Journal of Mathematical Behavior, 18(4), 379–397. https://doi.org/10.1016/S0732-3123(00)00026-2
  5. Boaler, J. (2002). Experiencing school mathematics: Traditional and reform approaches to teaching and their impact on student learning. Mahwah, NJ: Lawrence Erlbaum Associates. https://doi.org/10.4324/9781410606365
  6. Cobb, P., Gresalfi, M., & Hodge, L. L. (2009). An interpretive scheme for analyzing the identities that students develop in mathematics classrooms. Journal for Research in Mathematics Education, 40(1), 40–68. https://doi.org/10.5951/jresematheduc.40.1.0040
  7. Dowker, A., Sarkar, A., & Looi, C. Y. (2016). Mathematics anxiety: What have we learned in 60 years? Frontiers in psychology, 7, 508–524. https://doi.org/10.3389/fpsyg.2016.00508
  8. Ellis, J., Kelton, M. L., & Rasmussen, C. (2014). Student perceptions of pedagogy and associated persistence in calculus. ZDM, 46(4), 661–673. https://doi.org/10.1007/s11858-014-0577-z
  9. Gholson, M. L., & Martin, D. B. (2019). Blackgirl face: Racialized and gendered performativity in mathematical contexts. ZDM, 51(3), 391–404. https://doi.org/10.1007/s11858-019-01051-x
  10. Gutstein, E. R. (2016). “Our issues, our people—Math as our weapon”: Critical mathematics in a Chicago neighborhood high school. Journal for Research in Mathematics Education, 47(5), 454–504. https://doi.org/10.5951/jresematheduc.47.5.0454
  11. Gresalfi, M., Martin, T., Hand, V., & Greeno, J. (2009). Constructing competence: An analysis of student participation in the activity systems of mathematics classrooms. Educational Studies in Mathematics, 70, 49–70. https://doi.org/10.1007/s10649-008-9141-5
  12. Grootenboer, P., Lomas, G., & Ingram, N. (2008). The affective domain and mathematics education. In Research in Mathematics Education in Australasia 2004–2007 (pp. 255–270). https://doi.org/10.1163/9789087905019_013
  13. Grouws, D. A., Tarr, J. E., Sears, R., & Ross, D. J. (2010). Mathematics teachers’ use of instructional time and relationships to textbook content organization and class period format. In Hawaii International Conference on Education, Honolulu, HI.
  14. Hall, J. J., & Sink, C. A. (2015). Nature of Mathematics Classroom Environments in Catholic High Schools. Journal of Catholic Education, 18(2), 73–98. https://doi.org/10.15365/joce.1802052015
  15. Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. Second handbook of research on mathematics teaching and learning, 1(1), 371–404.
  16. Ignacio, N. G., Nieto, L. J. B., & Barona, E. G. (2006). The affective domain in mathematics learning. International Electronic Journal of Mathematics Education, 1(1), 16–32. https://doi.org/10.29333/iejme/169
  17. Jackson, K., Cobb, P., Smith, T., Ing, M., Ahn, J., Lenges, A., Nieman, H., Chinen, S., Hays, M., Kazemi, E., Haines, C., Morrison, J., Sevgi, S., Yilmaz, Z., Nguyen, A., Campos, F., Borko, H., Delaney, V., Jarry-Shore, M., & Kochmanski, N. (n.d). Practical Measures, Routines, and Representations. Retrieved November 10, 2022, from https://www.pmr2.org/measures
  18. Jansen, A. (2006). Seventh graders’ motivations for participating in two discussion-oriented mathematics classrooms. Elementary School Journal, 106(5), 409–428. https://doi.org/10.1086/505438
  19. Jansen, A. (2008). An investigation of relationships between seventh-grade students’ beliefs and their participation during mathematics discussions in two classrooms. Mathematical Thinking and Learning, 10(1), 68–100. https://doi.org/10.1080/10986060701820327
  20. Lamar, T. (2020). Relationships with mathematics: the importance of agency and authority. In A.I. Sacristán, J.C. Cortés-Zavala & P.M. Ruiz-Arias, (Eds.), Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, (pp. 2097–2104).
  21. Lubienski, S. T. (2010). A clash of social class cultures? Students' experiences in a discussion-intensive seventh-grade mathematics classroom. The Elementary School Journal, 100(4), 377–403. https://doi.org/10.1086/499647
  22. McLeod, D. B. (1992). Research on affect in mathematics education: A reconceptualization. Handbook of Research on Mathematics Teaching and Learning, 1, 575–596.
  23. Munter, C. (2024). The myth (s) of a ‘balanced’approach. Phi Delta Kappan, 106(4), 14–19. https://doi.org/10.1177/00317217241304825
  24. Munter, C., Stein, M. K., & Smith, M. S. (2015). Dialogic and direct instruction: Two distinct models of mathematics instruction and the debate(s) surrounding them. Teachers College Record, 117(11), 1–32. https://doi.org/10.1177/016146811511701102
  25. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Author: Reston, VA.
  26. National Research Council. (2001). Adding it up: Helping children learn mathematics. J. Kilpatrick, J. Swafford, & B. Findell (Eds.). Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.
  27. Nicaise, M., Gibney, T., & Crane, M. (2000). Toward an understanding of authentic learning: Student perceptions of an authentic classroom. Journal of Science Education and Technology, 9(1), 79–94. https://doi.org/10.1023/A:1009477008671
  28. Patton, M. (1990). Purposeful sampling. Qualitative evaluation and research methods, 2, 169–186.
  29. Reinholz, D. L., & Shah, N. (2018). Equity analytics: A methodological approach for quantifying participation patterns in mathematics classroom discourse. Journal for Research in Mathematics Education, 49(2), 140–177. https://doi.org/10.5951/jresematheduc.49.2.0140
  30. Ruef, J. (2021). How Ms. Mayen and her students co-constructed good-at-math. Journal for Research in Mathematics Education, 52(2), 152–188. https://doi.org/10.5951/jresematheduc-2020-0264
  31. Saldaña, J. (2016). The coding manual for qualitative researchers (3rd ed.). Los Angeles: SAGE Publications.
  32. Savin-Baden, M. & Major, C.H. (2013). Qualitative research: The essential guide to theory and practice. London: Routledge.
  33. Sfard, A., & Prusak, A. (2005). Telling identities: In search of an analytic tool for investigating learning as a culturally shaped activity. Educational Researcher, 34(4), 14–22. https://doi.org/10.3102/0013189X034004014
  34. Sinha, T., & Kapur, M. (2021). When problem solving followed by instruction works: Evidence for productive failure. Review of Educational Reseacrh, 9(5), 761–798. https://doi.org/10.3102/00346543211019105
  35. Skovsmose, O. (1994). Towards a critical mathematics education. Educational Studies in Mathematics, 27(1), 35–57. https://doi.org/10.1007/BF01284527
  36. Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world's teachers for improving education in the classroom. Simon and Schuster.
  37. Wambua, M. M., (2024a). Secondary students’ differing affiliations with their mathematics classroom obligations. In D. Kombe, & A. Wheeler (Eds.), Proceedings of the 51st Annual Meeting of the Research Council on Mathematics Learning (pp. 20–29).
  38. Wambua, M. M., (2024b). Understanding secondary students’ valuations of their normative identities in mathematics classroom instructional practices [Unpublished dissertation]. Columbia, MO: University of Missouri.
LICENSE
Creative Commons License