Translanguaging to Persevere Is Key for Latinx Bilinguals' Mathematical Success

Authors

DOI:

https://doi.org/10.21423/jume-v14i2a390

Keywords:

exponential functions, Latinx multilingual learners, mathematics discourse, perseverance, translanguaging

Abstract

Recent reform efforts state the importance of providing students with opportunities to persevere with challenging mathematics to make meaning. We posit translanguaging practice as a vital option by which Latinx bilingual students can sustain collective perseverance during problem solving. In this paper, we employ a constant-comparative overlay analysis to simultaneously study the discursive translanguaging and perseverance practices of Latinx bilingual students and the corresponding classroom supports. We observed collaborative problem solving in two classrooms of 12th-grade Latinx bilinguals working to make sense of an exponential function and the involvement of the same monolingual English-speaking teacher. Working within similar, supportive classroom environments, we describe how one group of students spontaneously and dialogically leveraged communicative resources to help persevere with in-the-moment obstacles, while another group of students worked together across languages but did not engage in a translanguaging mathematical practice to persevere. We suggest that only establishing a classroom environment conducive for translanguaging and perseverance practice is insufficient and that teachers should not solely rely on students spontaneously engaging in these practices. To complement this environment, we recommend specific teacher moves and scaffolds that could help Latinx bilingual students initiate collaborative translanguaging and support their ongoing perseverance to make meaning of mathematics.

References

Avalos, M., Medina, E., & Secada, W. (2018). Reading mathematics problems: Ex-ploring how language counts for middle-school students with varying mathe-matics levels of proficiency. In A. Bailey, C. Maher, & L. C. Wilkinson (Eds.), Language, literacy, and learning in the STEM disciplines: Language counts for English learners (pp. 53–78). Routledge Taylor Francis.

Bass, H., & Ball, D. L. (2015). Beyond “you can do it!”: Developing mathematical perseverance in elementary school. In N. Alpert (Ed.), The collected persever-ance papers (pp. 1–27). Spencer Foundation.

Carver, C. S., & Scheier, M. F. (2001). On the self-regulation of behavior. Cambridge University Press.

Celedón-Pattichis, S. (2003). Constructing meaning: Think-aloud protocols of ELLs on English and Spanish word problems. Educators for Urban Minorities, 2(2), 74–90.

Cenoz, J. (2017). Translanguaging in school contexts: International perspectives. Journal of Language, Identity & Education, 16(4), 193–198. https://doi.org/10.1080/15348458.2017.1327816

Chval, K. B., & Khisty, L. L. (2009). Bilingual Latino students, writing and mathe-matics: A case study of successful teaching and learning. In R. Barwell (Ed.), Multilingualism in mathematics classrooms: Global perspectives (pp. 128–144). Multilingual Matters.

Common Core State Standards Initiative. (2010). Common core state standards for mathematics. National Governors Association Center for Best Practices; The Council of Chief State School Officers.

Confrey J. (1991) The concept of exponential functions: A student’s perspective. In L. P. Steffe (Ed.), Epistemological foundations of mathematical experience: Recent research in psychology. Springer.

Cross, D. I., Hudson, R. A., Adefope, O., Lee, M. Y., Rapacki, L., & Perez, A. (2012). Success made probable: Creating equitable mathematical experiences through project-based learning. Journal of Urban Mathematics Education, 5(2), 55–86.

DiNapoli, J. (2018). Supporting secondary students’ perseverance for solving challenging mathematics tasks. In T. E. Hodges, G. J. Roy, & A. M. Tyminski (Eds.), Proceedings of the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 890–897). University of South Carolina.

DiNapoli, J. (2019). Persevering toward what? Investigating the relationship between ninth-grade students’ achievement goals and perseverant actions on an algebraic task. International Electronic Journal of Mathematics Education, 14(3), 435–453. https://doi.org/10.29333/iejme/5747

Driscoll, M., Heck, D., & Malzahn, K. (2012). Knowledge for teaching English language learners mathematics: A dilemma. In S. Celedón -Pattichis & N. G. Ramirez (Eds.), Beyond good teaching: Advancing mathematics education for ELLs (pp. 163–181). National Council of Teachers of Mathematics.

Fendel, D. M., Resek, D., Alper, L., & Fraser, S. (2015a). Interactive mathematics program: Integrated high school mathematics: Year 2. Key Curriculum Press.

Fendel, D. M., Resek, D., Alper, L., & Fraser, S. (2015b). Interactive mathematics program: Integrated high school mathematics: Year 4. Key Curriculum Press.

García, O. (2017). Translanguaging in schools: Subiendo y bajando, bajando y subiendo as afterword. Journal of Language, Identity & Education, 16(4), 256–263. https://doi.org/10.1080/15348458.2017.1329657

García, O., Johnson, S. I., & Seltzer, K. (2017). The translanguaging classroom: Leveraging student bilingualism for learning. Carlson.

García-Mateus, S., & Palmer, D. (2017). Translanguaging pedagogies for positive identities in two-way dual language bilingual education. Journal of Language, Identity & Education, 16(4), 245–255. https://doi.org/10.1080/15348458.2017.1329016

Gresalfi, M. S., & Barnes, J. (2015). Designing feedback in an immersive videogame: Supporting student mathematical engagement. Educational Technology Re-search and Development, 64(1), 1–22.

Guba, E. G., & Lincoln, Y. S. (1994). Competing paradigms in qualitative research. In N. K. Denzin & Y. S. Lincoln (Eds.), Handbook of qualitative research (pp. 105–117). Sage.

Gutiérrez, R. (2002). Beyond essentialism: The complexity of language in teaching mathematics to Latina/o students. American Educational Research Journal, 39(4), 1047–1088. https://doi.org/10.3102%2F000283120390041047

Gutiérrez, R. (2017). Why mathematics (education) was late to the backlash party: The need for a revolution. Journal of Urban Mathematics Education, 10(2), 8–24. https://doi.org/10.21423/jume-v10i2a347

Gutiérrez, R. (2018). The need to rehumanize mathematics. In I. Goffney & R. Gutiérrez (Eds.), Annual perspectives in mathematics education: Rehumanizing mathematics for Black, Indigenous, and Latinx students (pp. 1–10). National Council of Teachers of Mathematics.

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, 371–404.

Khisty, L. L., & Chval, K. B. (2002). Pedagogic discourse and equity in mathematics: When teachers’ talk matters. Mathematics Education Research Journal, 14, 154–168. https://doi.org/10.1007/BF03217360

Langer-Osuna, J. M., Moschkovich, J., Norén, E., Powell, A. B., & Vazquez, S. (2016). Student agency and counter-narratives in diverse multilingual mathe-matics classrooms: Challenging deficit perspectives. In R. Barwell, P. Clarkson, A. Halai, M. Kazima, J. Moschkovich, N. Planas, M. Setati-Phakeng, P. Valero, & M. Villavicencio Ubillús (Eds.), Mathematics education and language diver-sity (pp. 163–173): Springer.

Lawler, B. R. (2016). To rectify the moral turpitude of mathematics educa-tion. Journal of Urban Mathematics Education, 9(2), 11–28. https://doi.org/10.21423/jume-v9i2a306

MacSwan, J., & Faltis, C. J. (Eds.). (2019). Codeswitching in the classroom: Critical perspectives on teaching, learning, policy, and ideology. Routledge.

Maldonado, L. A., Krause Rueda, G., & Adams, M. (2018). Theorizing a translanguaging stance: Envisioning an empowering participatory mathematics education juntos con emergent bilingual students. In T. E. Hodges, G. J. Roy, & A. M. Tyminski (Eds.), Proceedings of the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathemat-ics Education (pp. 1351–1354). University of South Carolina; Clemson Uni-versity.

Martin, D. B. (2015). The collective Black and principles to actions. Journal of Ur-ban Mathematics Education, 8(1), 17–23. https://doi.org/10.21423/jume-v8i1a270

Martinez, D. C., Morales, P. Z., & Aldana, U. S. (2017). Leveraging students’ com-municative repertoires as a tool for equitable learning. Review of Research in Education, 41(1), 477–499. https://doi.org/10.3102%2F0091732X17691741

Matthews, L. E. (2018). 2018 — He who feels it, knows it: Rejecting gentrification and trauma for love and power in mathematics for urban communities. Journal of Urban Mathematics Education, 11(1–2), 11–25. https://doi.org/10.21423/jume-v11i1-2a355

Mazzanti Valencia, C., & Allexsaht-Snider, M. (2018). Multilingual perspectives as new opportunities for seeing and learning mathematics. In T. E. Hodges, G. J. Roy, & A. M. Tyminski (Eds.), Proceedings of the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1114–1117). University of South Carolina; Clem-son University.

Middleton, J. A., Tallman, M., Hatfield, N., & Davis, O. (2015). Taking the severe out of perseverance: Strategies for building mathematical determination. In N. Alpert (Ed.), The collected perseverance papers (pp. 1–25). Spencer Founda-tion.

Moll, L. C. (2001). The diversity of schooling: A cultural-historical approach. In M. de la Luz Reyes & J. J. Halcón (Eds.), The best for our children: Critical per-spectives on literacy for Latino students (pp. 13–28). Teachers College Press.

Morales, H., Jr. (2012). Case 4: Twelfth-grade English language learners and the mak-ing of mathematical meanings. In S. Celedón-Pattichis & Ramirez, N. G. (Eds.), Beyond good teaching: Advancing mathematics education for ELLs (pp. 109–118). National Council of Teachers of Mathematics.

Morales, H., Jr., & DiNapoli, J. (2018). Latinx bilingual students’ perseverance on a mathematical task: A rehumanizing perspective. REDIMAT: Journal of Re-search in Mathematics Education, 7(3), 226–250.

Morales, H., Jr., & DiNapoli, J. (2019). Translanguaging to persevere: Bridging meth-odological lenses to examine Latinx bilingual students’ problem-solving. In S. Otten, Z. de Araujo, A. Candela, C. Munter, & C. Haines (Eds.), Proceedings of the 41st Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1820–1825). Univer-sity of Missouri.

Morales, H., Jr., Vomvoridi-Ivanović, E., & Khisty, L. L. (2011). A case study of multi-generational mathematics participation in an after-school setting: Capital-izing on Latinas/os funds of knowledge. In K. Téllez, J. N. Moschkovich, & M. Civil (Eds.), Latinos/as and mathematics education: Research on learning and teaching in classrooms and communities. Information Age Publishing.

Moschkovich, J. (2000). Learning mathematics in two languages: Moving from ob-stacles to resources. In W. G. Secada (Ed.), Changing the faces of mathematics: Perspectives on multiculturalism and gender equity. National Council of Teach-ers of Mathematics.

Moschkovich, J. (2015). Academic literacy in mathematics for English Learners. The Journal of Mathematical Behavior, 40, 43–62. https://doi.org/10.1016/j.jmathb.2015.01.005

Moschkovich, J. (2019). Codeswitching and mathematics learners: How hybrid lan-guage practices provide resources for student participation in mathematical practices. In J. MacSwan & C. J. Faltis (Eds.), Codeswitching in the classroom (pp. 88–113). Routledge.

National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all.

O'Brien, S., & Long, F. (2012). Mathematics as (multi)cultural practice: Irish lessons from the Polish weekend school. Journal of Urban Mathematics Educa-tion, 5(2), 133–156. https://doi.org/10.21423/jume-v5i2a147

O’Halloran, K. L. (2015). The language of learning mathematics: A multimodal per-spective. The Journal of Mathematical Behavior, 40, 63–74. https://doi.org/10.1016/j.jmathb.2014.09.002

Palmer, D. K., Martínez, R. A., Mateus, S. G., & Henderson, K. (2014). Reframing the debate on language separation: Toward a vision for translanguaging peda-gogies in the dual language classroom. The Modern Language Journal, 98(3), 757–772.

Pólya, G. (1971). How to solve it (2nd ed.). Princeton University Press.

Ramirez, N., & Celedón-Pattichis, S. (2012). Second language development and im-plications for the mathematics classroom. In S. Celedón-Pattichis & N. Ramirez (Eds.), Beyond good teaching: Advancing mathematics education for ELLs (pp. 19–37). National Council of Teachers of Mathematics.

Razfar, A., Licón Khisty, L., & Chval, K. (2011). Re-mediating second language ac-quisition: A sociocultural perspective for language development. Mind, Culture, and Activity, 18(3), 195–215. https://doi.org/10.1080/10749030903494427

Rubel, L. H. (2017). Equity-directed instructional practices: Beyond the dominant perspective. Journal of Urban Mathematics Education, 10(2), 66–105. https://doi.org/10.21423/jume-v10i2a324

Satyam, V. R., Simpson A., DiNapoli, J., & Yao, X. (2021). Building a robot: Making mathematics visible in a non-formal STEM learning environment. In A. I. Sac-ristán, J. C. Cortés-Zavala, & P. M. Ruiz-Arias (Eds.), Proceedings of the 42nd Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 2353–2354). North American Chapter of the International Group for the Psychology of Mathematics Educa-tion. https://doi.org/10.51272/pmena.42.2020-399

Schoenfeld, A. H., & Sloane, A. H. (Eds.). (2016). Mathematical thinking and prob-lem solving. Routledge.

Sengupta-Irving, T., & Agarwal, P. (2017). Conceptualizing perseverance in problem solving as collective enterprise. Mathematical Thinking and Learning, 19(2), 115–138. https://doi.org/10.1080/10986065.2017.1295417

Silver, E. A. (Ed.). (2013). Teaching and learning mathematical problem-solving: Multiple research perspectives. Routledge.

Smith, M. S., & Stein, M. K. (2011). 5 practices for orchestrating productive mathe-matical discussions. National Council of Teachers of Mathematics.

Star, J. R. (2015). When not to persevere: Nuances related to perseverance in mathe-matical problem solving. In N. Alpert (Ed.), The collected perseverance papers (pp. 1–15). Spencer Foundation.

Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for

mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455–488.

VanLehn, K., Siler, S., Murray, C., Yamauchi, T., & Baggett, W. (2003). Why do only some events cause learning during human tutoring? Cognition & Instruc-tion, 21(3), 209–249. https://doi.org/10.1207/S1532690XCI2103_01

Vomvoridi-Ivanović, E. (2012). “Estoy acostumbrada hablar Inglés”: Latin@ pre-service teachers’ struggles to use Spanish in a bilingual afterschool mathematics program. Journal of Urban Mathematics Education, 5(2), 87–111. https://doi.org/10.21423/jume-v5i2a172

Waddell, L. R. (2010). How do we learn? African American elementary students learning reform mathematics in urban classrooms. Journal of Urban Mathemat-ics Education, 3(2), 116-154.

Zimmerman, B. J., & Schunk, D. H. (Eds.). (2011). Handbook of self-regulation of learning and performance. Routledge.

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Published

2021-12-21

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RESEARCH ARTICLES