The language factor – what exactly is it? Bilingual speakers of Russian and Finnish solving mathematical tasks

Authors

  • Maria Ahlholm
  • Päivi Portaankorva-Koivisto

DOI:

https://doi.org/10.7146/nomad.v23i3-4.148970

Abstract

A lack of knowledge of the language of instruction is often believed to be the main reason for low achievement among students with an immigrant background. We regard language as a tripartite unit comprising aspects of concept formation, pragmatic language usage and the linguistic form. In this theoretical framework, we report two case studies of bilingual, Russian and Finnish speaking students’ explanations of their procedures while solving mathematical tasks. The students’ linguistic processing varied in terms of conceptualization, pragmatic meaning-making and grammatical form. In a bilingual context, the labelling of concepts and meaning-making through argumentation are simultaneously processed in two languages.

References

Abedi, J. & Lord, C. (2001). The language factor in mathematics tests. Applied Measurement in Education, 14 (3), 219-234. https://doi.org/10.1207/S15324818AME1403_2

Arús, J., Bárcena, E. & Read, T. (2014). Languages for specific purposes in the digital era. Cham: Springer. https://doi.org/10.1007/978-3-319-02222-2

Barwell, R. (2009). Multilingualism in mathematics classrooms. An introductory discussion. In R. Barwell (Ed.), Multilingualism in mathematics classrooms: global perspectives (pp. 1-13). Bristol: Multilingual Matters. https://doi.org/10.21832/9781847692061

Barwell, R. (2016). A Bakhtinian perspective on language and content integration: encountering the alien word in second language mathematics classrooms. In T. Nikula, E. Dafouz, P. Moore & U. Smit (Eds.), Conceptualising integration in CLIL and multilingual education (pp. 101-119). Bristol: Multilingual Matters. https://doi.org/10.21832/9781783096145-008

Berger, A. (2016). Learning mathematics bilingually: an integrated language and mathematics model (ILMM) of word problem-solving processes in English as a foreign language. In T. Nikula, E. Dafouz, P. Moore & U. Smit (Eds.), Conceptualising integration in CLIL and multilingual education (pp. 73-100). Bristol: Multilingual Matters. https://doi.org/10.21832/9781783096145-007

Bergvall, I., Wiksten Folkeryd, J. & Liberg, C. (2016). Linguistic features and their function in different mathematical content areas in TIMSS 2011. Nordic Studies in Mathematics Education, 21 (2), 45-68.

Blackledge, A. & Creese, A. (2014). Heteroglossia as practice and pedagogy. In A. Blackledge & A. Creese (Eds.), Heteroglossia as practice and pedagogy (pp. 1-20). Dordrecht: Springer. https://doi.org/10.1007/978-94-007-7856-6

Coxhead, A. (2012). Vocabulary and ESP. In B. Paltridge & S. Starfield (Eds.), The handbook of English for specific purposes (pp. 116-132). Chichester: Wiley- Blackwell. https://doi.org/10.1002/9781118339855.ch6

Culler, J. (1976). Saussure. New York: Harper Collins.

Fiske, J. (1990). Introduction to communication studies (2nd ed.) London: Routledge.

Goldberg, A. E. (2006). Constructions at work. The nature of generalization in language. Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199268511.001.0001

Halai, A. & Karuka, S. (2013). Implementing language-in-education policy in multilingual mathematics classrooms: pedagogical implications. Eurasia Journal of Mathematics, Science & Technology Education, 9 (1), 23-32. https://doi.org/10.12973/eurasia.2013.913a

Halliday, M. A. K. (2004). An introduction to functional grammar (3rd ed.). London: Arnold.

Harju-Luukkainen, H., Nissinen, K., Sulkunen, S., Suni, M. & Vettenranta, J. (2014). Keys to competence and future. A report on PISA 2012 results and related underlying factors for students with an immigrant background. Jyväskylä: Finnish Institute for Educational Research.

Jacobse, A. E. & Harskamp, E. G. (2012). Towards efficient measurement of metacognition in mathematical problem solving. Metacognition Learning, 7 (2), 133-149. https://doi.org/10.1007/s11409-012-9088-x

Johns, A. M. (2012). The history of English for specific purposes research. In B. Paltridge & S. Starfield (Eds.), The handbook of English for specific purposes (pp. 5-30). Chichester: Wiley-Blackwell. https://doi.org/10.1002/9781118339855.ch1

Jorgensen, R., Gates, P. & Roper, V. (2014). Structural exclusion through school mathematics: using Bourdieu to understand mathematics as a social practice. Educational Studies in Mathematics, 87 (2), 221-239. https://doi.org/10.1007/s10649-013-9468-4

Joutsenlahti, J. (2003). Kielentäminen matematiikan opiskelussa [Languaging in learning mathematics]. In A. Virta & O. Marttila (Eds.), Opettaja, asiantuntijuus ja yhteiskunta (pp. 188-196) [Teacher, expertise and society]. Turku: Turun opettajankoulutuslaitos.

Kaivapalu, A. & Martin, M. (2007). Morphology in transition: plural inflection of Finnish nouns by Estonian and Russian learners. Acta Linguistica Hungarica, 54 (2), 129-156. https://doi.org/10.1556/ALing.54.2007.2.2

Kaivapalu, A. & Martin, M. (2017). Perceived similarity between written Estonian and Finnish: strings of letters or morphological units? Nordic Journal of Linguistics, 40 (2), 149-174. https://doi.org/10.1017/S0332586517000142

Krahmer, E. & Ummelen, N. (2004). Thinking about thinking aloud: a comparison of two verbal protocols for usability testing. Professional Communication, IEEE Transactions on, 47 (2), 105-117. https://doi.org/10.1109/TPC.2004.828205

Kupari, P. & Nissinen, K. (2016). Explanatory factors behind Finnish students' mathematics performance. In L. Eronen & B. Zimmermann (Eds.), Mathematics and education. Learning, technology, assessment (pp. 67-85). Münster: WTM Verlag für wissenschaftliche Texte und Medien.

Langacker, R. W. (2008). Cognitive grammar. A basic introduction. Oxford University Press. https://doi.org/10.1093/acprof:oso/9780195331967.001.0001

Martin, J. R. (2009). Genre and language learning: a social semiotic perspective. Linguistics and Education, 20 (1), 10-21. https://doi.org/10.1016/j.linged.2009.01.003

Moschkovich, J. (2007). Using two languages when learning mathematics. Educational Studies in Mathematics, 64 (2), 121-144. https://doi.org/10.1007/s10649-005-9005-1

Moschkovich, J. (2012). Mathematics, the common core, and language: recommendations for mathematics instruction for ELLs aligned with the common core. In K. Hakuta & M. Santos (Eds.), Understanding language: commissioned papers on language and literacy issues in the common core state standards and next generation science standards (pp. 17-31). Stanford University.

Ng, O. L. (2016). The interplay between language, gestures, dragging and diagrams in bilingual learners' mathematical communications. Educational Studies in Mathematics, 91 (3), 307-326. https://doi.org/10.1007/s10649-015-9652-9

Norén, E. (2011). 30 grade-eight students: discourse switch and bilingual students solving text problems in mathematics. In M. Setati, T. Nkambule & L. Goosen (Eds.), Proceedings of the ICMI study 21 conference: mathematics education and language diversity (pp. 292-300). Kape Town: University of South Africa.

Norén, E. (2015). Agency and positioning in a multilingual mathematics classroom. Educational Studies in Mathematics, 89 (2), 167-184. https://doi.org/10.1007/s10649-015-9603-5

OECD (2013a). PISA 2012 assessment and analytical framework: mathematics, reading science, problem solving and financial literacy. Paris: OECD Publishing.

OECD (2013b). PISA 2012 Released mathematics items. Retrieved from https://www.oecd.org/pisa/pisaproducts/pisa2012-2006-rel-items-maths-ENG.pdf

O'Halloran, K. (2000). Classroom discourse in mathematics: a multisemiotic analysis. Linguistics and Education, 10 (3), 359-388. https://doi.org/10.1016/S0898-5898(99)00013-3

O'Halloran, K. (2015). The language of learning mathematics: a multimodal perspective. The Journal of Mathematical Behavior, 40, 63-74. https://doi.org/10.1016/j.jmathb.2014.09.002

Parkinson, J. (2012). English for science and technology. In B. Paltridge & S. Starfield (Eds.), The handbook of English for specific purposes (pp. 155-174). Chichester: Wiley-Blackwell.

PISA (2012). Finnish results. Data received from the Finnish Institute for Educational Research. Jyväskylä.

Planas, N. (2014). One speaker, two languages: learning opportunities in the mathematics classroom. Educational Studies in Mathematics, 87 (1), 51-66. https://doi.org/10.1007/s10649-014-9553-3

Planas, N. & Civil, M. (2015). Bilingual mathematics teachers and learners: the challenge of alternative worlds. In K. Beswick, T. Muir & J. Wells (Eds.), Proceedings of 39th Psychology of Mathematics Education conference (Vol. 4, pp. 41-48). Hobart: PME.

Planas, N. & Setati, M. (2009). Bilingual students using their languages in the learning of mathematics. Mathematics Education Research Journal, 21 (3), 36-59. https://doi.org/10.1007/BF03217552

Planas, N. & Setati-Phakeng, M. (2014). On the process of gaining language as a resource in mathematics education. ZDM, 46(6), 883-893. https://doi.org/10.1007/s11858-014-0610-2

Riordain, M. N. & Mccluskey, A. (2015). Bilingual mathematics learners, conceptual mathematical activity and the role of their languages. How best to investigate? In K. Krainer & N. Vondrová (Eds.), Proceedings of CERME 9 (pp. 1454-1460). Prague: Charles University & ERME.

Ruiz, R. (1984). Orientations in language planning. NABE Journal, 8 (2), 15-34. https://doi.org/10.1080/08855072.1984.10668464

Schnepf, S. V. (2007). Immigrants' educational disadvantage: an examination across ten countries and three surveys. Journal of Population Economics, 20 (3), 527-545. https://doi.org/10.1007/s00148-006-0102-y

Swain, M. (2006). Languaging, agency and collaboration in advanced second language proficiency. In H. Byrnes (Ed.), Advanced language learning: the contribution of Halliday and Vygotsky (pp. 95-108). London: Bloomsbury.

Setati, M. (2005). Teaching mathematics in a primary multilingual classroom. Journal for Research in Mathematics Education, 36 (5), 447-466.

Truxaw, M. P. & Rojas, E. D. (2014). Challenges and affordances of learning mathematics in a second language. Journal of Urban Mathematics Education, 7 (2), 21-30. https://doi.org/10.21423/jume-v7i2a233

Wagner, D. & Herbel-Eisenmann, B. (2009). Re-mythologizing mathematics through attention to classroom positioning. Educational Studies in Mathematics, 72 (1), 1-15. https://doi.org/10.1007/s10649-008-9178-5

Özcan, Z. Ç., İmamoğlu, Y. & Bayraklı, V. K. (2017). Analysis of sixth grade students' think-aloud processes while solving a non-routine mathematical problem. Educational Sciences-Theory & Practice, 17 (1), 129-144.

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Published

2018-11-01

How to Cite

Ahlholm, M., & Portaankorva-Koivisto, P. (2018). The language factor – what exactly is it? Bilingual speakers of Russian and Finnish solving mathematical tasks. NOMAD Nordic Studies in Mathematics Education, 23(3-4), 81–103. https://doi.org/10.7146/nomad.v23i3-4.148970

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