Mathematics Education Research Journal

, Volume 23, Issue 1, pp 43–65

Tackling the transition—the English mathematics register and students learning through the medium of Irish

Original Article


The explosion of Gaeilge (Irish)-medium primary and secondary schools has played a crucial role in the rebirth of our native language in Ireland. The popularity of attending Gaeilge-medium education is significant, and continues to increase annually (Gaeilscoileanna Teo 2008). However, the majority of Gaeilgeoirí (students who learn through the medium of Gaeilge) face an imminent transition to English-medium mathematics education, be it at second or third level education. This paper presents a theoretical model for investigating the transfer between different languages for learning mathematics and for interpreting the findings emerging from the Irish context. Key findings include that Gaeilgeoirí at secondary level experience a disadvantage when assessed through the medium of English; at both transitions Gaeilgeoirí experience difficulties with the syntax, semantics, and mathematics vocabulary of the English mathematics register; and at third level Gaeilgeoirí are unaware of the language difficulties that they are experiencing.


Mathematics register Educational transitions Language mediums for learning mathematics Irish context 


  1. Adetula, L. O. (1989). Solutions of simple word problems by Nigerian children: Language and schooling factors? Journal for Research in Mathematics Education, 20(5), 489–497.CrossRefGoogle Scholar
  2. Adetula, L. O. (1990). Language factor: Does it affect children’s performance on word problems? Educational Studies in Mathematics, 21(4), 351–365.CrossRefGoogle Scholar
  3. Adler, J. (1998). A language of teaching dilemmas: Unlocking the complex multilingual secondary mathematics classroom. For the Learning of Mathematics, 18(1), 24–33.Google Scholar
  4. Adler, J. (2001). Teaching mathematics in multilingual classrooms. Dordrecht: Kluwer.Google Scholar
  5. Allalouf, A., Hambleton, R., & Sireci, S. (1999). Identifying the causes of translation DIF on verbal items. Journal of Educational Measurement, 36, 185–198.CrossRefGoogle Scholar
  6. Austin, J. L., & Howson, A. G. (1979). Language and mathematical education. Educational Studies in Mathematics, 10(2), 161–197.CrossRefGoogle Scholar
  7. Baker, C. (2001). Foundations of bilingual education (3rd ed.). Clevedon: Multilingual Matters.Google Scholar
  8. Barton, B., & Neville-Barton, P. (2003). Language issues in undergraduate mathematics: A report of two studies. New Zealand Journal of Mathematics (Supplementary Issue), 32, 19–28.Google Scholar
  9. Barton, B., Chan, R., King, C., & Neville-Barton, P. (2004). The mathematical discourse of advanced undergraduate mathematics. In I. Putt (Ed.), Proceedings of 27th Mathematics Education Research Group Conference (pp. 79–86). Townsville: James Cook University.Google Scholar
  10. Barton, B., Chan, R., King, C., Neville-Barton, P., & Sneddon, J. (2005). EAL undergraduates learning mathematics. International Journal of Mathematics Education in Science and Technology, 36(7), 721–729.CrossRefGoogle Scholar
  11. Barwell, R. (2003). Patterns of attention in the interaction of a primary school mathematics student with English as an additional language. Educational Studies in Mathematics, 53(1), 35–59.CrossRefGoogle Scholar
  12. Barwell, R. (Ed.). (2009). Multilingualism in mathematics classrooms—global perspectives. Bristol: Multilingual Matters.Google Scholar
  13. Barwell, R., Barton, B., & Setati, M. (2007). Multilingual issues in mathematics education: introduction. Educational Studies in Mathematics, 64(2), 113–119.CrossRefGoogle Scholar
  14. Bohlmann, C. (2001). Reading skills and mathematics. Published proceedings of Communications: Third Southern Hemisphere Symposium on Undergraduate Mathematics Teaching, pp. 5–14.Google Scholar
  15. Brodie, K. (1989). Learning mathematics in a second language. Educational Review, 41(1), 39–53.CrossRefGoogle Scholar
  16. Clarkson, P. C. (1991). Language comprehension errors: A further investigation. Mathematics Education Research Journal, 13(2), 24–33.Google Scholar
  17. Clarkson, P. C. (1992). Language and mathematics: A comparison of bilingual and monolingual students of mathematics. Educational Studies in Mathematics, 23(4), 417–429.CrossRefGoogle Scholar
  18. Clarkson, P. C. (2007). Australian Vietnamese students learning mathematics: High ability bilinguals and their use of their languages. Educational Studies in Mathematics, 64(2), 191–215.CrossRefGoogle Scholar
  19. Clarkson, P. C., & Galbraith, P. (1992). Bilingualism and mathematics learning: Another perspective. Journal for Research in Mathematics Education, 23(1), 34–44.CrossRefGoogle Scholar
  20. Clements, M. A., & Lean, G. A. (1980). Influences on mathematical learning in Papua New Guinea: Some cross-cultural perspectives - Mathematics Education Centre Report No. 13, Papua New Guinea University of Technology.Google Scholar
  21. Cummins, J. (1979). Linguistic interdependence and the educational development of bilingual children. Review of Educational Research, 49(2), 222–251.Google Scholar
  22. Cummins, J. (1980). The construct of language proficiency in bilingual education. Washington, D.C.: Georgetown University Press.Google Scholar
  23. Cummins, J. (2000). Language, power and pedagogy: Bilingual children in the crossfire. Clevedon: Multilingual Matters.Google Scholar
  24. Cummins, J. (2002). Bilingual education: basic principles. In J. Dewaele, A. Housen, W. Li (Eds.), Bilingualism: Beyond basic principals, Festschrift in honour of Hugo Baetens Beardsmore, Clevedon: Multilingual Matters: 56–66.Google Scholar
  25. Dawe, L., & Mulligan, J. (1997). Classroom views of language in mathematics. In B. Doig & J. Lokan (Eds.), Learning from Children: Mathematics from a classroom perspective. Melbourne: ACER.Google Scholar
  26. Durkin, K., & Shire, B. (1991). Language in mathematical education: Research and practice. Milton Keyes: Open University Press.Google Scholar
  27. Ellerton, N. F., & Wallace, M. (2004). Language genres in school mathematics. USA: Illinois State University.Google Scholar
  28. Evans, S. (2007). Differential performance of items in mathematics assessment materials for 7-year-old pupils in English-medium and Welsh-medium versions. Educational Studies in Mathematics, 64(2), 145–168.CrossRefGoogle Scholar
  29. Frigo, T. (1999). Resources and teaching strategies to support aboriginal children’s numeracy learning—a review of literature. New South Wales: Office of the Board of Studies NSW.Google Scholar
  30. Galligan, L. (1995). Comparison of Chinese and English mathematical word problems: Consequences of student understanding. In R. P. Hunting, G. E. FitzSimons, P. C. Clarkson, & A. J. Bishop (Eds.), Regional collaboration in mathematics education 1995 (pp. 271–282). Melbourne: Monash University.Google Scholar
  31. Galligan, L. (2001). Possible effects of English-Chinese language differences on the processing of mathematical text: A review. Mathematics Education Research Journal, 13(2), 112–132.Google Scholar
  32. Gaeilscoileanna Teo (2008). Fás ar an nGaelscolaíocht sa Ghalltacht. Retrieved January 10th, 2009
  33. Gibbs, W., & Orton, J. (1994). Language and mathematics. In J. Orton & G. Wain (Eds.), Issues in teaching mathematics (pp. 95–116). London: Cassell.Google Scholar
  34. Gorgorió, N., & Planas, N. (2001). Teaching mathematics in multilingual classrooms. Educational Studies in Mathematics, 47(1), 7–33.CrossRefGoogle Scholar
  35. Halliday, M. A. K. (1975). Learning how to mean: Explorations in the development of language. London: Edward Arnold.Google Scholar
  36. Hater, M. A., & Kane, R. B. (1975). The cloze procedure as a measure of mathematical English. Journal for Research in Mathematics Education, 6(2), 121–127.CrossRefGoogle Scholar
  37. Kazima, M. (2007). Malawian students’meanings for probability vocabulary. Educational Studies in Mathematics, 64(2), 169–189.CrossRefGoogle Scholar
  38. Latu, V. F. (2005). Language factors that affect mathematics teaching and learning of Pasifika students. In P. Clarkson (Ed.), Building Connections: research, theory and practice, proceedings of the annual MERGA conference 2005, Melbourne: RMIT, 483–490.Google Scholar
  39. Lean, G. A., Clements, K., & Del Campo, G. (1990). Linguistic and pedagogical factors affecting children’s understanding of arithmetic word problems: a comparative study. Educational Studies in Mathematics, 21(2), 165–191.CrossRefGoogle Scholar
  40. Lemke, J. L. (1989). Using Language in the Classroom (2nd ed.). New York: Oxford University Press.Google Scholar
  41. Lewis, A. B., & Mayer, R. E. (1987). Students’ misconceptions of relational statements in arithmetic word problems. Journal of Educational Psychology, 79(4), 363–371.CrossRefGoogle Scholar
  42. Lyons, M., Lynch, K., Close, S., Sheerin, E., & Boland, P. (2003). Inside classrooms—the teaching and learning of mathematics in social context. Dublin: Institute of Public Administration.Google Scholar
  43. MacGregor, M. E. (1991). Making sense of algebra: Cognitive processes influencing comprehension. Geelong, VIC: Deakin University Press.Google Scholar
  44. Maxwell, M., & Evans, J. (2000). Edco mathematics 1: Junior certificate. Dublin: The Educational Company of Ireland.Google Scholar
  45. May, S., Hill, R., Tiakiwai, S. (2004). Bilingual/Immersion Education: Indicators of Good Practice. Final Report to the Ministry of Education, New Zealand: Wilf Malcolm Institute of Educational Research, School of Education, University of Waikato.Google Scholar
  46. Meaney, T. (2005). Mathematics as text. In A. Chonaki & I. M. Christiansen (Eds.), Challenging perspectives on mathematics classroom communication (pp. 109–141). Westport: Information Age.Google Scholar
  47. Mestre, J. (1986). Teaching problem-solving strategies to bilingual students: What do research results tell us? International Journal of Mathematical Education in Science and Technology, 17(4), 393–401.CrossRefGoogle Scholar
  48. Morris, O. D. (2000). Text and tests 1: Mathematics junior certificate. Dublin: The Celtic.Google Scholar
  49. Naudé, A. (2004). The influence of second language teaching on undergraduate mathematics performance. Masters Dissertation, University of Pretoria.Google Scholar
  50. Neville-Barton, P., & Barton, B. (2005). The Relationship between English Language and Mathematics Learning for Non-native Speakers: A TLRI research report for NZCER, Wellington: NZCER. Retrieved October 22, 2005
  51. Ní Ríordáin, M., & O’Donoghue, J. (2007). Language issues for adults learning mathematics through a second language. Published proceedings of Adults Learning Mathematics-14, University of Limerick, June 2007.Google Scholar
  52. Ní Ríordáin, M., & O’Donoghue, J. (2009). The relationship between performance on mathematical word problems and language proficiency for students learning through the medium of Irish. Educational Studies in Mathematics, 71(1), 43–64.CrossRefGoogle Scholar
  53. OECD (2006). Assessing scientific, reading and mathematical literacy: A framework for PISA 2006. Retrieved February 2, 2007
  54. Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. London: Routledge & Kegan Paul.Google Scholar
  55. Rudner, L. M. (1978). Using standard tests with the hearing impaired: the problem of item bias. Volta Review, 80, 31–40.Google Scholar
  56. Secada, W. G. (1991). Degree of bilingualism and arithmetic problem solving in Hispanic first graders. The Elementary School Journal, 92(2), 213–231.CrossRefGoogle Scholar
  57. Secada, W. G. (1992). Race, ethnicity, social class, language and achievement in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 623–660). New York: Macmillan.Google Scholar
  58. Setati, M. (2005). Mathematics education and language: Policy, research and practice in multilingual South Africa. In R. Vithal, J. Adler, & C. Keitel (Eds.), Researching mathematics education in South Africa: Perspectives, practices and possibilities (pp. 73–109). South Africa: HSRC.Google Scholar
  59. Setati, M., & Adler, J. (2000). Between languages and discourses: Language practices in primary multilingual mathematics classrooms in South Africa. Educational Studies in Mathematics, 43(3), 243–269.CrossRefGoogle Scholar
  60. Sierpinska, A. (1994) Understanding in Mathematics. Studies in Mathematics Education Series: 2, London; Washington, D.C.: The Falmer Press.Google Scholar
  61. Verschaffel, L., Greer, B., & De Corte, E. (2000). Making sense of word problems. Lisse: Swets and Zeitlinger.Google Scholar
  62. Yushau, B. and Bokhari, M. (2005). Language and mathematics: a mediational approach to bilingual Arabs. International Journal for Mathematics Teaching and Learning, (April, 2005). Retrieved November 2nd, 2005 at

Copyright information

© Mathematics Education Research Group of Australasia, Inc. 2011

Authors and Affiliations

  1. 1.St. Patrick’s CollegeThurlesIreland
  2. 2.National Centre for Excellence in Mathematics and Science Teaching and LearningUniversity of LimerickLimerickIreland

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