Math-Trivium Framework for Newcomer Students: Orientation for High School Teachers on Equitable, Inclusive Instruction
DOI:
https://doi.org/10.29333/ejecs/2209Keywords:
Math-trivium framework, Newcomers, Equitable Instruction, Asset-based Pedagogy and Inclusive mathematics instructionAbstract
Newcomers, defined as students who have recently integrated into a new educational system, often face significant barriers to learning mathematics due to their diverse ethnic and linguistic backgrounds. Traditional mathematics instruction frequently overlooks the intrinsic, social, and cultural assets these students bring into the classroom. This oversight can hinder their academic success and integration into the educational environment. As ethnically and linguistically diverse student populations continue to grow across Western countries, there is a pressing need for mathematics lessons that reflect and leverage the varied backgrounds of all students. Additionally, teachers require proper preparation to respond effectively to the shifting demographics of their classrooms. This theoretical paper introduces the Math Trivium Framework, an asset-based approach to understanding newcomers' experiences in learning mathematics. By focusing on the intrinsic, social, and cultural strengths newcomers contribute, this framework aims to enhance their academic outcomes and integration. The paper emphasizes the importance of mathematics lessons that are inclusive of every student's unique learning background and highlights the necessity for teachers to (1) recognize and utilize these assets while also acknowledging and leveraging the various assets students are bringing into the classroom and (2) receive preparation to respond to the shifting population of students. Key components of the framework include shifting the focus from deficits to assets and glocalizing cultural relevance into mathematics for equitable and inclusive instruction. The Math trivium framework can promote equitable mathematics education that supports the academic success and cultural empowerment of all students, particularly newcomers navigating new educational environments.
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Abdulrahim, N. A., & Orosco, M. J. (2020). Culturally responsive mathematics teaching: A research synthesis. The urban review, 52(1), 1–25. DOI: https://doi.org/10.1007/s11256-019-00509-2
Aguirre, J. M., & del Rosario Zavala, M. (2013). Making culturally responsive mathematics teaching explicit: A lesson analysis tool. Pedagogies: An international journal, 8(2), 163-190. DOI: https://doi.org/10.1080/1554480X.2013.768518
Aguirre, J., Mayfield-Ingram, K., & Martin, D. B. (2013). The impact of identity in K-8 mathematics learning and teaching: Rethinking equity-based practices. National Council of Teachers of Mathematics, Incorporated.
Amery, E. L. (2020). Fostering intercultural competencies in a Language Instruction for Newcomers to Canada program.
Anderson, R. (2007). Being a Mathematics Learner: Four Faces of Identity. Mathematics Educator, 17(1), 7-14. DOI: https://doi.org/10.63301/tme.v17i1.1906
Artiles, A. J. (2003). Special education’s changing identity. Harvard Educational Review, 73, 164–202 DOI: https://doi.org/10.17763/haer.73.2.j78t573x377j7106
Bajaj, M., & Bartlett, L. (2017). Critical transnational curriculum for immigrant and refugee students. Curriculum Inquiry, 47(1), 25–35. DOI: https://doi.org/10.1080/03626784.2016.1254499
Bajaj, M., Walsh, D., Bartlett, L., & Martínez, G. (2022). Humanizing education for immigrant and refugee youth: 20 strategies for the classroom and beyond. Teachers College Press.
Bal, A. (2009). Becoming learners in US schools: A sociocultural study of refugee students' evolving identities. Arizona State University.
Bal, A. (2014). Becoming in/competent learners in the United States: Refugee students’ academic identities in the figured world of difference. International Multilingual Research Journal, 8(4), 271–290. DOI: https://doi.org/10.1080/19313152.2014.952056
Boaler, J. (2006). Promoting respectful learning. Educational Leadership, 63(5), 74–78.
Bright, A., Welcome, N., & Arthur, Y. (2024). The effect of using technology in teaching and learning mathematics on student’s mathematics performance: The mediation effect of students’ mathematics interest. Journal of Mathematics and Science Teacher, 4(2). DOI: https://doi.org/10.29333/mathsciteacher/14309
Brown, C., & Strachan, L. (2022). Exploring Structure and Culture in the Lived Acculturation Experiences of Newcomer Varsity Athletes in Manitoba. American Journal of Qualitative Research, 6(2), 133-147. https://doi.org/10.29333/ajqr/12130 DOI: https://doi.org/10.29333/ajqr/12130
Buckley, L. A. (2010). Unfulfilled hopes in education for equity. Redesigning the mathematics curriculum in a US high school. Journal of Curriculum Studies, 42(1), 51–78 DOI: https://doi.org/10.1080/00220270903148065
Celedón-Pattichis, S., Borden, L. L., Pape, S. J., Clements, D. H., Peters, S. A., Males, J. R., ... & Leonard, J. (2018). Asset-based approaches to equitable mathematics education research and practice. Journal for Research in Mathematics Education, 49(4), 373-389. DOI: https://doi.org/10.5951/jresematheduc.49.4.0373
Civil, M. (2007). Building on community knowledge: An avenue to equity in mathematics education. Improving access to mathematics: Diversity and equity in the classroom, 105–117.
Cummins, J. (2019). The emergence of translanguaging pedagogy: A dialogue between theory and practice. Journal of Multilingual Education Research, 9(13), 19–36.
Custodio, B., & O'Loughlin, J. B. (2017). Students with interrupted formal education: Bridging where they are and what they need. Corwin Press. DOI: https://doi.org/10.4135/9781506359694
D’Ambrosio, U. (1999). Literacy, matheracy, and technoracy: A trivium for today. For Learning Mathematics, 1(2), 131–153 DOI: https://doi.org/10.1207/s15327833mtl0102_3
Darboe, K. (2003). New Immigrants in Minnesota: The Somali Immigration and Assimilation. Journal of Developing Societies, 19(4), 458–472. https://doi.org/10.1177/0169796X0301900402 DOI: https://doi.org/10.1177/0169796X0301900402
Denzin, N. K., & Giardina, M. D. (Eds.). (2006). Qualitative inquiry and the conservative challenge. Left Press.
Dubinina, G., Konnova, L., & Stepanyan, I. (2022). Technologies for teaching mathematics in a multilingual digital environment. Education Sciences, 12(9), 590. DOI: https://doi.org/10.3390/educsci12090590
Edosomwan, K., & Williams III, J. A. (2024). Double jeopardy? Examining the influence of mathematics tracking on in‐school suspensions through an intersectionality framework. School Science and Mathematics, 124(2), 72-84. DOI: https://doi.org/10.1111/ssm.12607
Eglash, R. (1999). African fractals: Modern computing and indigenous design. Rutgers University Press.
Eglash, R., Bennett, A., O'donnell, C., Jennings, S., & Cintorino, M. (2006). Culturally situated design tools: Ethnocomputing from field site to classroom. American Anthropologist, 108(2), 347-362. DOI: https://doi.org/10.1525/aa.2006.108.2.347
Ericka, N. W. (2016). The importance of communities for Mathematics learning and socialization. Journal of Urban Mathematics Education, 9(2), 5–10. DOI: https://doi.org/10.21423/jume-v9i2a315
Fedden, S. (2012). Change in Traditional Numerals Systems in Mian and other Trans New Guinea Languages. Languages & Linguistics in Melanesia, (Special Issue 2012), 1-22.
Gay, G. (2018). Culturally responsive teaching: Theory, research, and practice. Teachers’ College Press.
Gonzalez, N., Moll, L. C., & Amanti, C. (Eds.). (2005). Funds of knowledge: Theorizing practices in households, communities, and classrooms. Erlbaum.
Gutiérrez, R. (2013). The sociopolitical turn in mathematics education. Journal for research in mathematics education, 44(1), 37-68. DOI: https://doi.org/10.5951/jresematheduc.44.1.0037
Gutiérrez, R. (2017). Living Mathematx: Towards a Vision for the Future. North American chapter of the international group for the psychology of mathematics education.
Hatt, B. (2012). Smartness as a cultural practice in schools. American Educational Research Journal, pp. 49, 438–460. DOI: https://doi.org/10.3102/0002831211415661
Havis, L. R. (2020). Active learning strategies for promoting intercultural competence development in students. In Developing and Supporting Multiculturalism and Leadership Development: International Perspectives on Humanizing Higher Education (pp. 127-144). Emerald Publishing Limited. DOI: https://doi.org/10.1108/S2055-364120200000030011
Hochschild, J., & Scovronick, N. (2005). Demographic change and democratic education. Oxford University Press
Hos, R. (2016). The lives, aspirations, and needs of refugee and immigrant students with interrupted formal education (SIFE) in a secondary newcomer program. Urban Education,55, 1021–1044.
Hos, R. (2020). The lives, aspirations, and needs of refugee and immigrant students with interrupted formal education (SIFE) in a secondary newcomer program. Urban Education, 55(7), 1021-1044. DOI: https://doi.org/10.1177/0042085916666932
Huang, G. G. (2000). Mathematics Achievement by Immigrant Children. Education Policy Analysis Archives, 8, 25. https://doi.org/10.14507/epaa.v8n25.2000 DOI: https://doi.org/10.14507/epaa.v8n25.2000
Jurkova, S. (2021). Transcultural competence model: An inclusive path for communication and interaction. Journal of Transcultural Communication, 1(1), 102-119. DOI: https://doi.org/10.1515/jtc-2021-2008
Kursav, M. N. (2022). Teachers’ beliefs, perceptions, experiences, and strategies in teaching and engaging multilingual learners in mathematics classrooms. Michigan State University.
Ladson-Billing, G. (1995). Toward a theory of culturally relevant pedagogy. American Educational Research Journal, 32(3), 465–491. DOI: https://doi.org/10.3102/00028312032003465
Lang, N. W. (2019). Teachers’ translanguaging practices and “safe spaces” for adolescent newcomers: Toward alternative visions. Bilingual Research Journal, 42(1), 73-89. DOI: https://doi.org/10.1080/15235882.2018.1561550
Lee, C. D. (2007). Culture, literacy, and learning: Taking bloom amid the whirlwind. Teachers College Press.
Leonard, J. (2018). Culturally specific pedagogy in the mathematics classroom: Strategies for teachers and students. Routledge. DOI: https://doi.org/10.4324/9781351255837
Libbrecht, P., & Goosen, L. (2016). Using ICTs to facilitate multilingual mathematics teaching and learning. Mathematics Education and Language Diversity: The 21st ICMI Study, 217-235. DOI: https://doi.org/10.1007/978-3-319-14511-2_12
Llopart, M., & Esteban-Guitart, M. (2018). Funds of knowledge in 21st century societies: Inclusive educational practices for under-represented students. A literature review. Journal of Curriculum Studies, 50(2), 145-161. DOI: https://doi.org/10.1080/00220272.2016.1247913
Magaña, L. F. (2010). To learn mathematics: Mayan mathematics in base 10. In EDULEARN10 Proceedings (pp. 1385-1394). IATED.
Magaña, L. F. (2013). The ludic and powerful Mayan mathematics for teaching. Procedia-Social and Behavioral Sciences, 106, 2921-2930. DOI: https://doi.org/10.1016/j.sbspro.2013.12.338
Mania, S., & Alam, S. (2021). Teachers’ perception toward the use of ethnomathematics approach in teaching math. International Journal of Education in Mathematics, Science and Technology, 9(2), 282-298. DOI: https://doi.org/10.46328/ijemst.1551
McBrien, J. L. (2005). Educational needs and barriers for refugee students in the United States: A review of the literature. Review of Educational Research, 75, 329–364. DOI: https://doi.org/10.3102/00346543075003329
McIlwain, C. (2017). The Life of a Child Refugee: How Host-Country Schools Can Create Positive Growth.
Miller, K. F., & Stigler, J. W. (1987). Counting in Chinese: Cultural variation in a basic cognitive skill. Cognitive development, 2(3), 279-305. DOI: https://doi.org/10.1016/S0885-2014(87)90091-8
Moschkovich, J. N. (2002). A situated and sociocultural perspective on bilingual mathematics learners. Mathematical Thinking and Learning, 4(2-3), 189-212. DOI: 10.1207/S15327833MTL04023_5. DOI: https://doi.org/10.1207/S15327833MTL04023_5
Mupenzi, A. (2018). Educational resilience and experiences of African students with a refugee background in Australian tertiary education. Australasian Review of African Studies, The, 39(2), 122-150. DOI: https://doi.org/10.22160/22035184/ARAS-2018-39-2/122-150
Nasir, N. S., & Hand, V. (2006). Exploring sociocultural perspectives on race, culture, and learning. Review of Educational Research, 76(4), 449-475 DOI: https://doi.org/10.3102/00346543076004449
National Academies of Sciences, Engineering, and Medicine (2019). Science and Engineering for Grades 6–12: Investigation and Design at the Center. The National Academies Press.
Niss, M. A., & Højgaard, T. (2019). Mathematical competencies revisited. Educational Studies in Mathematics, 102(1), 9-28. https://doi.org/10.1007/s10649-019-09903-9. DOI: https://doi.org/10.1007/s10649-019-09903-9
Niss, M., & Højgaard, T. (2011). Competencies and mathematical learning: Ideas and inspiration for developing mathematics teaching and learning in Denmark. Roskilde University.
Nkopodi, N., & Mosimege, M. (2009). Incorporating the indigenous game of morabaraba in the learning of mathematics. South African Journal of Education, 29(3), 1-13. DOI: https://doi.org/10.15700/saje.v29n3a273
Paris, D. (2012). Culturally Sustaining pedagogy: A needed change in stance, terminology, and practice. Educational Researcher, 41(3), 93–97. DOI: https://doi.org/10.3102/0013189X12441244
Paris, D., & Alim, H. S. (Eds.). (2017). Culturally sustaining pedagogies: Teaching and learning for justice in a changing world. Teachers College Press.
Perkins, I., & Flores, A. (2002). Mathematical Notations and Procedures of Recent Immigrant Students. Mathematics Teaching in the Middle School, p. 7. DOI: https://doi.org/10.5951/MTMS.7.6.0346
Pollock, M., Deckman, S., Mira, M., Shalaby, C., (2010). “But what can I do?”: three necessary tensions in teaching teachers about race. Journal of Teacher Education, 61(3), 211–224. DOI: https://doi.org/10.1177/0022487109354089
Ramona Fruja Amthor & Kevin Roxas (2016). Multicultural Education and Newcomer Youth: Re-Imagining a More Inclusive Vision for Immigrant and Refugee Students, Educational Studies, 52(2), 155–176, DOI: 10.1080/00131946.2016.1142992. DOI: https://doi.org/10.1080/00131946.2016.1142992
Ran Abramitzky (2017). What History Tells Us about the Assimilation of Immigrants. Institute for Economic Policy Research (SIEPR). Stanford University.
Rashidov, A. (2020). Use of differentiation technology in teaching mathematics. European Journal of Research and Reflection in Educational Sciences, 8(7), 163-167.
Rosa, M., & Orey, D. C. (2019). Ethnomathematics and the responsible subversion of its pedagogical action: an investigation based on three anthropological approaches. Revista Brasileira de Estudos Pedagógicos, 100, 191-210. DOI: https://doi.org/10.24109/2176-6681.rbep.100i254.3939
Rosa, M., Orey, & D.C. (2013). Ethnomodelling as a Methodology for Ethnomathematics. In: Stillman, G., Kaiser, G., Blum, W., Brown, J. (eds) Teaching Mathematical Modelling: Connecting to Research and Practice. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6540-5_6 DOI: https://doi.org/10.1007/978-94-007-6540-5_6
Roth, W. M. (1999). Discourse and agency in school science laboratories. Discourse processes, 28(1), 27-60. DOI: https://doi.org/10.1080/01638539909545068
Samway, K. D., Pease-Alvarez, L., & Alvarez, L. (2020). Supporting newcomer students: Advocacy and instruction for English learners. WW Norton & Company.
Schoenfeld, A. H. (2007). Problem solving in the United States, 1970–2008: research and theory, practice and politics. ZDM, 39, 537-551. DOI: https://doi.org/10.1007/s11858-007-0038-z
Shizha, E., & Makwarimba, E. (Eds.). (2023). Immigrant Lives: Intersectionality, Transnationality, and Global Perspectives. Oxford University Press. DOI: https://doi.org/10.1093/oso/9780197687307.001.0001
Suárez-Orozco, C., Pimentel, A., & Martin, M. (2009). The significance of relationships: Academic engagement and achievement among newcomer immigrant youth. Teachers college record, 111(3), 712-749. DOI: https://doi.org/10.1177/016146810911100308
Suárez-Orozco, C., Suárez-Orozco, M. M., & Todorova, I. (2010). Learning a new land: Immigrant students in American society. Harvard University Press. DOI: https://doi.org/10.2307/j.ctv1m0kjvp
Takahashi, A. (2006). Characteristics of Japanese mathematics lessons. Tsukuba journal of educational study in mathematics, 25(1), 37-44.
Umeh, E. C., & Rosa, M. (2022). A Trivium Curriculum approach to connect an active learning and self-assessment of students’ mathematical competencies in an Ethnomodelling perspective. Journal of Mathematics and Culture 16(1),72-89. ISSN 1558-5336.
Uribe-Flórez, L. J., Araujo, B., Franzak, M., & Haynes Writer, J. (2014). Mathematics, power, and language: Implications from lived experiences to empower English learners. Action in Teacher Education, 36(3), 234-246. DOI: https://doi.org/10.1080/01626620.2014.917365
Varsik, S., & Gorochovskij, J. (2023). Intersectionality in education: Rationale and practices to address the needs of students’ intersecting identities.
Verkuyten, M., Altabatabaei, H. G., & Nooitgedagt, W. (2018). Supporting the accommodation of voluntary and involuntary migrants: Humanitarian and host society considerations. Social Psychological and Personality Science, 9(3), 267-274. DOI: https://doi.org/10.1177/1948550617737600
Yilmaz, T. (2021). Translanguaging as a pedagogy for equity of language minoritized students. International Journal of Multilingualism, 18(3), 435–454. DOI: https://doi.org/10.1080/14790718.2019.1640705
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