First and second language students’ achievement in mathematical content areas

Authors

  • Jöran Petersson

Abstract

This study compares Swedish first (n = 2 253) and second language (n = 248) students’ achievement in mathematical content areas specified by the TIMSS-framework. Data on mathematics achievement from three national tests 2007–2009 in school year 9 are used. The present study found that the achievement difference between the mathematical content areas algebra and number was smaller for second language students than for first language students and this result holds with statistical significance (p = 0.016). The same holds for algebra versus data and chance (p = 0.00053). A hypothesis for further research is suggested; that students immigrating in late school years have contributed to the observed result by bringing experiences from other curricula into their new schooling.

References

Andrews, P. (2009). Comparative studies of mathematics teachers' observable learning objectives: validating low inference codes. Educational Studies in Mathematics, 71, 97-122. https://doi.org/10.1007/s10649-008-9165-x

Barwell, R. (2009). Mathematical word problems and bilingual learners in England. In R. Barwell (Ed.), Multilingualism in mathematics classrooms: global perspectives (pp. 63-77). Clevedon: Multilingual Matters. https://doi.org/10.21832/9781847692061-007

Bishop, A. J. (1991). Mathematical enculturation: a cultural perspective on mathematics education. Dordrecht: Kluwer Academic Publishers.

Böhlmark, A. (2008). Age at immigration and school performance: a siblings analysis using Swedish register data. Labour Economics, 15 (6), 1366-1387. https://doi.org/10.1016/j.labeco.2007.12.004

Campbell, A. E., Davis, G. E. & Adams, V. M. (2007). Cognitive demands and second-language learners: a framework for analyzing mathematics instructional contexts. Mathematical Thinking and Learning, 9 (1), 3-30. https://doi.org/10.1080/10986060709336603

Cummins, J. (2008). BICS and CALP: empirical and theoretical status of the distinction. In H. N. Hornberger (Ed.), Encyclopedia of language and education (part 2, volume 5, pp. 487-499). New York: Springer. https://doi.org/10.1007/978-0-387-30424-3_36

Devlin, K. (2000). The four faces of mathematics. In M. J. Burke & F. R. Curcio (Eds.), Learning mathematics for a new century (pp. 16-27). Reston: National Council of Teachers of Mathematics.

Gerofsky, S. (1996). A linguistic and narrative view of word problems in mathematics education. For the Learning of Mathematics, 16 (2), 36-45.

Gorgorió, N. & Planas, N. (2001). Teaching mathematics in multilingual classrooms. Educational Studies in Mathematics, 47, 7-33. https://doi.org/10.1023/A:1017980828943

Grønmo, L. S., Lindquist, M., Arora, A. & Mullis, I. V. S. (2013). TIMSS 2015 mathematics framework. In I. V. S. Mullis & M. O. Martin (Eds.), TIMSS 2015 assessment frameworks (pp. 11-27). Chestnut Hill: TIMSS & PIRLS International Study Center. https://doi.org/10.1007/s10649-014-9553-3

Gutiérrez, R. & Dixon-Román, E. (2010). Beyond gap gazing: How can thinking about education comprehensively help us (re) envision mathematics education? In P. Valero & B. Atweh (Eds.), Mapping equity and quality in mathematics education (pp. 21-34). Dordrecht: Springer. https://doi.org/10.1007/978-90-481-9803-0_2

Hansson, Å. (2012). The meaning of mathematics instruction in multilingual classrooms: analyzing the importance of responsibility for learning. Educational Studies in Mathematics, 81, 103-125. https://doi.org/10.1007/s10649-012-9385-y

Heesch, E., Storaker, T. & Lie, S. (2000). Språklige minoritetselever og realfag: komparative analyser av resultatene i matematikk og naturfag til språklige minoritetselever og barn av majoritetsbefolkningen i Norge, Sverige, Danmark, Nederland og Spania. Oslo: Institutt for lærerutdanning og skoleutvikling, Universitetet i Oslo.

Kilpatrick, J., Swafford, J. & Findell, B. (Eds.). (2001). Adding it up: helping children learn mathematics. Washington: National Academy Press.

Lager, C. A. (2006). Types of mathematics-language reading interactions that unnecessarily hinder algebra learning and assessment. Reading Psychology, 27(2-3), 165-204. https://doi.org/10.1080/02702710600642475

Leder, G. C. (2015). Mathematics for all? The case for and against national testing. In S. J. Cho (Ed.), The proceedings of the 12th International Congress on Mathematical Education (pp. 189-207). New York: Springer. https://doi.org/10.1007/978-3-319-12688-3_14

Ma, L. (1999). Knowing and teaching elementary mathematics: teachers' understanding of fundamental mathematics in China and the United States. Mahwah: Lawrence Erlbaum Associates. https://doi.org/10.4324/9781410602589

Mullis, I. V. S., Martin, M. O. & Foy, P. (Eds.). (2008). TIMSS 2007 international mathematics report: findings from IEA's Trends in International Mathematics and Science Study at the fourth and eighth grades. Chestnut Hill: TIMSS & PIRLS International Study Center.

Mullis, I. V. S., Martin, M. O., Foy, P. & Arora, A. (2012). TIMSS 2011 international results in mathematics. Chestnut Hill: TIMSS & PIRLS International Study Center.

Niss, M. (2002). Mathematical competencies and the learning of mathematics: the Danish KOM project. In A. Gagatsēs, S. G. Papastavridis & H. M. Hetaireia (Eds.), 3rd Mediterranean conference on mathematical education (pp. 115-124). Athens: Hellenic Mathematical Society.

Norén, E. & Andersson, A. (2016). Multilingual students' agency in mathematics classrooms. In A. Halai & P. Clarkson (Eds.), Teaching and learning mathematics in multilingual classrooms (pp. 109-124). Rotterdam: Sense Publishers. https://doi.org/10.1007/978-94-6300-229-5_8

OECD (2013). PISA 2012 assessment and analytical framework: mathematics, reading, science, problem solving and financial literacy. Paris: OECD Publishing. https://doi.org/10.1787/9789264190511-en

Parszyk, I. (1999). En skola för andra: minoritetselevers upplevelser av arbets- och livsvillkor i grundskolan. Stockholm: HLS.

Pásztor, A. (2008). The children of guest workers: comparative analysis of scholastic achievement of pupils of Turkish origin throughout Europe. Intercultural Education, 19 (5), 407-419. https://doi.org/10.1080/14675980802531598

Petersson, J. (2012). Rare mathematics - a needle eye for teachers of second language learners. In G. H. Gunnarsdóttir, F. Greinsdóttir, G. Pálsdóttir, M. Hannula, M. Hannula-Sormunen, et al. (Eds.), Proceedings of NORMA-11, the 6th Nordic Conference on Mathematics Education (pp. 483-492). Reykjavik: University of Iceland Press.

PRIM-gruppen (2007a). Bedömningsanvisningar, ämnesprov matematik vårterminen 2007. Stockholm University. Retrieved from http://www.su.se/polopoly_fs/1.133695.1367505463!/menu/standard/file/Bedomningsanv_2007.pdf

PRIM-gruppen (2007b). Subject test in mathematics, grade 9, part B1. Stockholm University. Retrieved from http://www.su.se/polopoly_fs/1.175172.1398168980!/menu/standard/file/partB1.pdf

PRIM-gruppen (2008a). Bedömningsanvisningar, ämnesprov matematik vårterminen 2008. Stockholm University. Retrieved from http://www.su.se/polopoly_fs/1.133688.1367505514!/menu/standard/file/Bedanv_2008.pdf

PRIM-gruppen (2008b). Subject test in mathematics, grade 9, part B1. Stockholm University. Retrieved from http://www.su.se/polopoly_fs/1.175167.1398169024!/menu/standard/file/Part_B108.pdf

PRIM-gruppen (2009a). Bedömningsanvisningar, ämnesprov matematik del C vårterminen 2009. Stockholm University. Retrieved from http://www.su.se/polopoly_fs/1.125016.1367505650!/menu/standard/file/BedAnv_delprovC_2009.pdf

PRIM-gruppen (2009b). Subject test in mathematics, grade 9, part B1. Stockholm University. Retrieved from http://www.su.se/polopoly_fs/1.125020.1367505715!/menu/standard/file/DelprovB_delB1_2009_eng.pdf

SFS 1994 : 1194. Grundskoleförordning (2 kap. Utbildningens innehåll, Svenska som andraspråk, 15 §) [Swedish code of statutes, compusary school regulation].

SFS 2011 : 185. Skolförordning (5 kap. Utbildningen, Svenska som andraspråk, 14 §) [Swedish code of statutes, school regulation].

Skolverket (2004). Students with foreign background: report to the government [Elever med utländsk bakgrund: rapport till regeringen]. Stockholm: Author.

Skolverket (2009). Subject test in mathematics, grade 9 spring 2008 [Ämnesproven 2008 i grundskolans åk 9 och specialskolans åk 10]. Stockholm: Author. Retrieved from http://www.skolverket.se/ publikationer?id=2169

Skolverket (2010). Subject test in mathematics, grade 9 spring 2009 [Ämnesproven 2009 i grundskolans årskurs 9 och specialskolans årskurs 10]. Stockholm: Author. Retrieved from http://www.skolverket.se/publikationer?id=2372

Statistics Sweden (2016). Statistikdatabasen [Statistical database]. Retrieved from http://www.statistikdatabasen.scb.se

Stigler, J. W. & Hiebert, J. (1999). The teaching gap: best ideas from the world's teachers for improving education in the classroom. New York: Free Press.

Svensson, P., Meaney, T. & Norén, E. (2014). Immigrant students' perceptions of their possibilities to learn mathematics: the case of homework. For the Learning of Mathematics, 34 (3), 32-37.

Turner, R., Blum, W. & Niss, M. (2015). Using competencies to explain mathematical item demand: a work in progress. In K. Stacey & R. Turner (Eds.), Assessing mathematical literacy. The PISA experience (pp. 85-115). Cham: Springer. https://doi.org/10.1007/978-3-319-10121-7_4

Ufer, S., Reiss, K. & Mehringer, V. (2013). Sprachstand, soziale Herkunft und Bilingualität: Effekte auf Facetten mathematischer Kompetenz. In M. Becker-Mrotzek, K. Schramm, E. Thürmann & H. J. Vollmer (Eds.), Sprache im Fach - Sprachlichkeit und fachliches Lernen (pp. 167-184). Münster: Waxmann.

Zevenbergen, R. (2001). Mathematics, social class and linguistic capital: an analysis of mathematics classroom interactions. In B. Atweh, H.J. Forgasz & B. Nebres (Eds.), Sociocultural research on mathematics education: an international perspective (pp. 201-215). Mahwah: Lawrence Erlbaum Associates.

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Published

2024-11-19

How to Cite

Petersson, J. (2024). First and second language students’ achievement in mathematical content areas. NOMAD Nordic Studies in Mathematics Education, 22(2), 33–50. Retrieved from https://tidsskrift.dk/NOMAD/article/view/148795

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