Multilingualism in mathematics classrooms: Global perspectives

Multilingualism in Mathematics Classrooms: Global Perspectives

Volumn , Issue , 2009, Pages 1-186

  Barwell, Richard ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

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EID: 84957545200     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book

References (234)

1. Abdelnoor, R.E.J. (1979) A Mathematical Dictionary. Leeds: Arnold-Wheaton.
2. Abdi, A. (1998) Education in Somalia: History, destruction, and calls for reconstruction. Comparative Education 34 (3), 327-340.
3. 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.
4. Adetula, L.O. (1990) Language factor: Does it affect children’s performance on word problems. Educational Studies in Mathematics 21 (4), 351-365.
5. Adler, J. (2001) Teaching Mathematics in Multilingual Classrooms. Dordrecht: Kluwer Academic Publishers.
6. Aitchison, J.W. and Carter, H. (2004) Spreading the Word. Talybont, Wales: Y Lolfa.
7. Alitolppa-Niitamo, A. (2002) The generation in-between: Somali youth and schooling in metropolitan Helsinki. Intercultural Education 13 (3), 275-290.
8. Arkoudis, S. (2003) Teaching English as a second language in science classes: Incommensurate epistemologies? Language and Education 17 (3), 161-173.
9. Arkoudis, S. (2005) Fusing pedagogic horizons: Language and content teaching in the mainstream. Linguistics and Education 16 (2), 173-187.
10. Arkoudis, S. (2006) Negotiating the rough ground between ESL and mainstream teachers. International Journal of Bilingual Education and Bilingualism 9 (4), 415-433.
11. Arthur, J. (2003) “Baro afkaaga hooyo!" A case study of Somali literacy teaching in Liverpool. International Journal of Bilingual Education and Bilingualism 6 (3-4), 253-290.
12. Austin, J. and Howson, A. (1979) Language and mathematical education. Educational Studies in Mathematics 10, 161-197.
13. Baker, C. (1996) Foundations of Bilingual Education (2nd edn). Clevedon: Multilingual Matters.
14. Baker, C. (2001) Foundations of Bilingual Education and Bilingualism (3rd edn). Clevedon: Multilingual Matters.
15. Baker, C. and Jones, S.P. (1998) Encyclopaedia of Bilingualism and Bilingual Education. Clevedon: Multilingual Matters.
16. Bakhtin, M. (1981) The Dialogic Imagination. Austin, TX: University of Texas Press.
17. Ballenger, C. (1997) Social identities, moral narratives, scientific argumentation: Science talk in a bilingual classroom. Language and Education 11 (1), 1-14.
18. Banfi, C. and Day, R. (2004) The evolution of bilingual schools in Argentina. International Journal of Bilingual Education and Bilingualism 7 (5), 398-441.
19. Barton, B. (2008) The Language of Mathematics: Telling Mathematical Tales. New York: Springer.
20. Barton, B., Fairhall, U. and Trinick, T. (1998) Tikanga reo tātai: Issues in the development of a Māori mathematics register. For the Learning of Mathematics 18 (1), 3-9.
21. Bartram, D. (2001) The development of international guidelines on test use: The International Test Commission Project. International Journal of Testing 1 (1), 33-54.
22. Barwell, R. (2002a) Understanding EAL issues in mathematics. In C. Leung (ed.) Language and Second/Additional Language Issues for School Education: A Reader for Teachers (pp. 69-80). Watford: NALDIC Publications Group.
23. Barwell, R. (2002b) Whose words? Mathematics Teaching 178, 34-36.
24. Barwell, R. (2003a) 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.
25. Barwell, R. (2003b) Working on word problems. Mathematics Teaching 185, 6-8.
26. Barwell, R. (2004) ‘Guessing’ in Year 1 mathematics lessons when English is an additional language. Proceedings of the British Society into Learning Mathematics 24 (1), 13-18.
27. Barwell, R. (2005a) Working on arithmetic word problems when English is an additional language. British Educational Research Journal 31 (3), 329-348.
28. Barwell, R. (2005b) Empowerment, EAL and the National Numeracy Strategy. International Journal of Bilingual Education and Bilingualism 8 (4), 313-327.
29. Barwell, R. (2005c) Integrating language and content: Issues from the mathematics classroom. Linguistics and Education 16 (2), 205-218.
30. Barwell, R. (2005d) Ambiguity in the mathematics classroom. Language and Education 19 (2), 118-126.
31. Barwell, R. (2005e) A framework for the comparison of PME research into multilingual mathematics education in different sociolinguistic settings. In H. Chick and J. Vincent (eds) Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 145-152). Melbourne: International Group for the Psychology of Mathematics Education.
32. Barwell, R., Barton, B. and Setati, M. (2007) Multilingual issues in mathematics education: Introduction. Educational Studies in Mathematics 64 (2), 113-119.
33. Barwell, R., Leung, C., Morgan, C. and Street, B. (2002) The language dimension of mathematics teaching. Mathematics Teaching 180, 12-15.
34. Bernardo, A.B.I. (1999) Overcoming obstacles to understanding and solving word problems in mathematics. Educational Psychology 19 (2), 149-163.
35. Bialystok, E. (1992) Selective attention in cognitive processing: The bilingual edge. In R.J. Harris (ed.) Cognitive Processing in Bilinguals (pp. 501-513). Amsterdam: North Holland.
36. Bialystok, E. (1994) Analysis and control in the development of second language proficiency. Studies in Second Language Acquisition 16, 157-168.
37. Borasi, R. (1990) The invisible hand in mathematics instruction. In T. Cooney and C. Hirsch (eds) Teaching and Learning Mathematics in the 1990‘s (pp. 174-182). Reston, VA: National Council of Teachers of Mathematics.
38. Boztepe, E. (2003) Issues in code switching: Competing theories and models. Working papers in TESOL & Applied Linguistics. Columbia University Teachers College. On WWW at http://www.tc.columbia.edu/academic//tesol/webjournal. Accessed 20.1.2007.
39. Brenner, M.E. (1998) Development of mathematical communication in algebra problems solving groups: Focus on language minority students. Bilingual Research Journal 22 (3-4), 149-174.
40. Brincat, J.M. (2006) Il-Malti: Elf Sena ta’ Storja [The Maltese Language: A One Thousand Year History] (2nd edn). Malta: Pubblikazzjonijiet Independenza (PIN).
41. Brislin, R.W. (1986) The wording and translation of research instruments. In W.J. Lonner and W.B. Berry (eds) Field Methods in Cross-Cultural Research (pp. 137-164). London: Sage.
42. Cameron, L. and Besser, S. (2004) Writing in English as an Additional Language. London: DfES.
43. Camilleri, A. (1995) Bilingualism in Education: The Maltese Experience. Heidelberg: Groos.
44. Camilleri-Grima, A. (2003) “Do as I say, not as I do”. Legitimate language in bilingual Malta! In L. Huss, A. Camilleri-Grima and K.A. King (eds) Transcending Monolingualism: Linguistic Revitalization in Education (pp. 55-65). Lisse: Swets and Zeitlingee.
45. Chval, K. (2001) A case study of a teacher who uses calculators to guide her students to successful learning in mathematics. Unpublished doctoral dissertation, University of Illinois at Chicago, IL.
46. Clarkson, P. (1983) Types of errors made by Papua New Guinean students. Educational Studies in Mathematics 14 (4), 353-367.
47. Clarkson, P. (1991) Language comprehension errors: A further investigation. Mathematics Education Research Journal 3 (2), 24-33.
48. Clarkson, P.C. (1992) Language and mathematics: A comparison of bilingual and monolingual students of mathematics. Educational Studies in Mathematics 23 (4), 417-429.
49. Clarkson, P.C. (1995) Teaching mathematics to NESB students. Prime Number 10 (2), 11-12.
50. Clarkson, P.C. (1996) NESB migrant students studying Mathematics: Vietnamese and Italian students in Melbourne. In L. Puig and A. Gutierrez (eds) Proceedings of the 20th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 225-232). Valencia, Spain: International Group for the Psychology of Mathematics Education.
51. Clarkson, P.C. (2004a) Teaching mathematics in multilingual classrooms: The global importance of contexts. In I. Cheong, H. Dhindsa, I. Kyeleve and O. Chukwu (eds) Globalisation Trends in Science, Mathematics and Technical Education (pp. 9-23). Brunei Darussalam: Universiti Brunei Darussalam.
52. Clarkson, P.C. (2004b) Multilingual contexts for teaching mathematics. In M.J. Hoines and A.B. Fuglestad (eds) Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 236-239). Bergen, Norway: International Group for the Psychology of Mathematics Education.
53. Clarkson, P.C. (2005) Two perspectives of bilingual students learning mathematics in Australia: A discussion. In D. Hewitt and A. Noyes (eds) Proceedings of the 6th British Congress of Mathematics Education (CD format). Warwick: BSRLM.
54. Clarkson, P.C. (2006a) Multicultural classrooms: Contexts for much mathematics teaching and learning. In F. Favilli (ed.) Ethnomathematics and Mathematics Education (pp. 9-16). Pisa, Italy: Tipografia Editrice Pisana.
55. Clarkson, P.C. (2006b) Australian Vietnamese students learning mathematics: High ability bilinguals and their use of their languages. Educational Studies in Mathematics 64, 191-215.
56. Clarkson, P.C. (2006c) Rhyming and folk tales: Resources for mathematical thinking. Australian Mathematics Primary Classroom 11 (4), 18-23.
57. 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.
58. Clarkson, P.C. and Dawe, L. (1997) NESB migrant students studying Mathematics: Vietnamese students in Melbourne and Sydney. In E. Pehkonen (ed.) Proceedings of the 21st Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 153-160). Lahte, Finland: International Group for the Psychology of Mathematics Education.
59. Clarkson, P.C. and Galbraith, P. (1992) Bilingualism and mathematics learning: Another perspective. Journal for Research in Mathematics Education 23 (1), 34-44.
60. Clarkson, P.C. and Indris, N. (2006) Reverting to English to teach mathematics: How are Malaysian teachers and students changing in response to a new language context for learning? Journal of Science and Mathematics Education in South East Asia 29 (2), 69-96.
61. Clements, K. and Del Campo, G. (1987) Beginning Mathematics. Melbourne: Catholic Education Office.
62. Clemson, D. and Clemson, W. (1994) Mathematics in the Early Years. London: Routledge.
63. Cline, T. and Frederickson, N. (eds) (1996) Curriculum Related Assessment, Cummins and Bilingual Children. Clevedon: Multilingual Matters.
64. Cocking, R.R. and Chipman, S. (1988) Conceptual issues related to mathematics achievement of language minority children. In R.R. Cocking and J. Mestre (eds) Linguistic and Cultural Influences on Learning Mathematics (pp. 17-46). Hillsdale, NJ: Lawrence Erlbaum Associates.
65. Cocking, R.R. and Mestre, J. (eds) (1988) Linguistic and Cultural Influences on Learning Mathematics. Hillsdale, NJ: Lawrence Erlbaum.
66. Cooper, B. (1994) Authentic testing in mathematics. Assessment in Education 1 (2), 143-166.
67. Cooper, B. and Dunne, M. (2000) Assessing Children’s Mathematical Knowledge: Social Class, Sex and Problem-solving. Buckingham: Open University Press.
68. Cummins, J. (1991) Interdependence of first- and second-language proficiency in bilingual children. In E. Bialystok (ed.) Language Processing in Bilingual Children (pp. 70-89). Cambridge: Cambridge University Press.
69. Cummins, J. (2000a) Language, Power and Pedagogy: Bilingual Children in the Crossfire.Clevedon: Multilingual Matters.
70. Cummins, J. (2000b) “This place nurtures my spirit”: Creating contexts of empowerment in linguistically-diverse schools. In R. Phillipson (ed.) Rights to Language: Equity, Power and Education (pp. 249-258). Mawah, NJ: Lawrence Erlbaum Associates.
71. Cummins, J. (2001) An Introductory Reader to the Writings of Jim Cummins (eds C. Baker and N.H. Hornberger). Clevedon: Multilingual Matters.
72. Dawe, L. (1983) Bilingualism and mathematical reasoning in English as a second language. Educational Studies in Mathematics 14 (4), 325-353.
73. Department for Children, Schools and Families (DCSF) (2007) Schools and pupils in England, January 2007 (Final). On WWW at http://www.dfes.gov.uk/rsgateway/DB/SFR/s000744/index.shtml. Accessed 22.3.2008.
74. Department for Education and Employment (DfEE) (1999) The National Numeracy Strategy: Framework for Teaching Mathematics from Reception to Year 6. Sudbury: DfEE Publications.
75. Department of Education and Science (DES) (1982) Mathematics Counts (The Cockcroft Report). London: HMSO.
76. Duran, R. (1987) Factors affecting development of second language literacy. In S. Goldman and H. Trueba (eds) Becoming Literate in English as a Second Language (pp. 33-55). Norwood, NJ: Ablex.
77. Edwards, D. (1997) Discourse and Cognition. London: Sage.
78. Edwards, D. and Potter, J. (1992) Discursive Psychology. London: Sage.
79. Ellerton, N. and Clarkson, P.C. (1996) Language factors in mathematics teaching and learning. In A. Bishop, K. Clements, C. Keitel, J. Kilpatrick and C. Laborde (eds) International Handbook of Mathematics Education (pp. 991-1038). Dordrecht: Kluwer Academic Publishers.
80. Ellerton, N., Clements, M.A. and Clarkson, P.C. (2000) Language factors in mathematics education. In K. Owens and J. Mousley (eds) Research in Mathematics Education in Australasia 1996-1999 (pp. 29-96). Sydney: Mathematics Education Research Groups of Australasia.
81. Emblen, V. (1988) Asian children in schools. In D. Pimm (ed.) Mathematics, Teachers and Children (pp. 82-94). Sevenoaks: Hodder and Stoughton.
82. 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.
83. Evans, Z. and Hughes, T. (2003) Yr athro ail iaith yn yr ysgol gynradd. In G. Roberts and C. Williams (eds) Addysg Gymraeg addysg Gymreig (pp. 312-336). Bangor: University of Wales Bangor.
84. Faltis, C. (1996) Learning to teach content bilingually in a middle school bilingual classroom. The Bilingual Research Journal 20 (1), 29-44.
85. Farrugia, M.T. (2007) Medium and message: The use and development of an English Mathematics register in two Maltese primary classrooms. Unpublished doctoral dissertation, University of Birmingham.
86. Favilli, F. and Jama Musse, J. (1996) Creating a mathematical terminology: The Somalia case. Paper presented at the 8th International Congress on Mathematical Education, Sevilla, Spain, July.
87. Franceschini, R. (1998) The notion of code in linguistics. In P. Auer (ed.) Code-switching in Conversation: Language, Interaction and Identity (pp. 51-72). London: Routledge.
88. Garcia, E. (2001) The Education of Hispanics in the United States: Raíces y Alas. Lanham, MD: Rowman & Littlefield Publishers, Inc.
89. Gee, J. (1999) An Introduction to Discourse Analysis: Theory and Method. New York: Routledge.
90. Gerofsky, S. (1996) A linguistic and narrative view of word problems in mathematics education. For the Learning of Mathematics 16 (2), 36-45.
91. Glaser, B. and Strauss, A. (1967) The Discovery of Grounded Theory: Strategies for Qualitative Research. Hawthorne, NY: Aldine.
92. Gorgorió, N. and Planas, N. (2005) Reconstructing norms. In H.L. Chick and J.L. Vincent (eds) Proceedings of the 29th Meeting of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 65-72). Melbourne: International Group for the Psychology of Mathematics Education.
93. Griffiths, R. and Clyne, M. (1994) Language in the Mathematics Classroom: Talking, Representing, Recording. Melbourne: Eleanor Curtain Publishing.
94. Grosjean, F. (1999) Individual bilingualism. In B. Spolsky (ed.) Concise Encyclopedia of Educational Linguistics (pp. 284-290). London: Elsevier.
95. Gumperz, J.J. (1982) Discourse Strategies. Cambridge: Cambridge University Press.
96. Gutstein, E. (2007) Multiple language use and mathematics: Politicizing the discussion. Educational Studies in Mathematics 64 (2), 243-246.
97. Haan Associates (1992) Study Companion Word List: Mathematics/Eraybixinta: Xisaab.
98. Halai, A. (2001) Role of social interactions in students’ learning of mathematics (in classrooms in Pakistan). Unpublished doctoral dissertation: University of Oxford.
99. Halai, A. (2006) Mentoring in-service teachers: Issues of role diversity. Teaching and Teacher Education 22 (6), 700-710.
100. Halai, A. (2007) Learning mathematics in English medium classrooms in Pakistan: Implications for policy and practice. Bulletin of Educational Research 29 (1), 1-15.
101. Halcón, L., Robertson, C., Savik, K., Johnson, D., Spring, M., Butcher, J., Westermeyer, J. and Jaranson, J. (2004) Trauma and coping in Somali and Oromo youth. Journal of Adolescent Health 35, 17-24.
102. Halliday, M.A.K. (1978) Language as Social Semiotic: The Social Interpretation of Language and Meaning. London: Edward Arnold.
103. Halliday, M.A.K. and Martin, J.R. (1993) Writing Science: Literacy and Discursive Power. London: The Falmer Press.
104. Hambleton, R.K. (1993) Translating achievement tests for use in cross-national studies. European Journal of Psychological Assessment 9 (1) 57-68.
105. Haque, A.R. (1993) The position and status of English in Pakistan. In R. Baumgardner (ed.) The English Language in Pakistan (pp. 13-18). Karachi: Oxford University Press.
106. Hargreaves, E. (1997) Mathematics assessment for children with English as an additional language. Assessment in Education 4 (3), 401-411.
107. Hart, K.M. (1981) Children’s Understanding of Mathematics: 11-16. London: John Murray.
108. Harvey, R. (1982) ‘I can keep going up if I want to’: One way of looking at learning in mathematics. In R. Harvey, D. Kerslake, H. Shuard and M. Torbe (eds) Mathematics (pp. 22-40). London: Ward Lock Educational.
109. Hasan Aly, J. (2006) Education in Pakistan: A White Paper. Prepared with the National Educational Policy Review Team. Islamabad, Pakistan: Government of Pakistan Ministry of Education.
110. Heath, S.B. (1983) Ways with Words: Language, Life, and Work in Communities and Classrooms. Cambridge: Cambridge University Press.
111. Heller, M. (1999) Linguistic Minorities and Modernity. London: Longman.
112. Heller, M. and Martin-Jones, M. (eds) (2001) Voices of Authority: Education and Linguistic Difference. Westport, CT: Ablex Publishing.
113. Hornberger, N. (2008) Continua of biliteracy. In A. Creese, P. Martin and N.H. Hornberger (eds) Encyclopedia of Language and Education (2nd edn), Vol. 9: Ecology of Language (pp. 275-290). New York: Springer.
114. Howie, S.J. (2002) English language proficiency and contextual factors influencing mathematics achievement of secondary school pupils in South Africa. Doctoral dissertation, University of Twente.
115. Howie, S.J. (2003) Language and other background factors affecting secondary pupils’ performance in mathematics in South Africa. African Journal of Research in Mathematics, Science and Technology Education 7, 1-20.
116. Hunston, S. (2002) Corpora in Applied Linguistics. Cambridge: Cambridge University Press.
117. Hutchins, P. (1970) Clocks and More Clocks. New York: Aladdin.
118. International Test Commission (2000) International Guidelines for Test Use. Louvainla-Neuve, Belgium: ITC.
119. Jacobson, R. (1990) Allocating two languages as a key feature of bilingual methodology. In R. Jacobson and C. Faltis (eds) Language Distribution Issues in Bilingual Schooling (pp. 3-17). Clevedon: Multilingual Matters.
120. Jama Musse, J. (1998) The role of ethnomathematics in mathematics education: Cases from the Horn of Africa. Paper presented at the First International Conference on Ethnomathematics, Granada, Spain, September. On WWW at http://www.fiz-karlsruhe.de/fiz/publications/zdm/zdm993a2.pdf. Accessed 9.1.2007.
121. Johnson, J. (2006) Orality, literacy, and Somali oral poetry. Journal of African Cultural Studies 18 (1), 119-136.
122. Jones, D.V. (1993) Words with a similar meaning. Mathematics Teaching 145, 14-15.
123. Jones, D.V. (1998) National curriculum tests for mathematics in English and Welsh: Creating matched assessments. Assessment in Education 5 (2), 193-211.
124. Jones, D.V. (2000) Talk and texts in bilingual mathematics lessons in Wales. The Welsh Journal of Education 9 (2) 102-119.
125. Jones, D.V. and Martin-Jones, M. (2004) Bilingual education and language revitalization in Wales: Past achievements and current issues. In J. Tollefson and A. Tsui (eds) Medium of Instruction Policies: Which Agenda? Whose Agenda? (pp. 43-70). New Jersey: Lawrence Erlbaum Associates.
126. Karplus, R., Karplus, E., Formisano, M. and Paulsen, A.C. (1979) Proportional reasoning and control of variables in seven countries. In J. Lochheed and J. Clement (eds) Cognitive Process Instruction. Philadelphia, PA: The Franklin Institute Press.
127. Keenan, P.J. (1879) An Inquiry Into the System of Education in Malta. London: Charles Thom.
128. Khan, A.R. (2002) Language and content: A case study of how science is taught in a community run private English medium school in Karachi Pakistan. Unpublished masters thesis, Ontario Institute for Studies in Education, University of Toronto.
129. Khan, M.A. and Khan, M.A. (2002) Writing Urdu in Roman. The Dawn Daily, 17th November.
130. Khisty, L.L. (1995) Making inequality: Issues of language and meaning in mathematics teaching with Hispanic students. In W. Secada, E. Fennema and L.B. Adajian (eds) New Directions for Equity in Mathematics Education (pp. 279-297). Cambridge, UK: Cambridge University Press.
131. Khisty, L.L. (1996) Children talking mathematically in multilingual classrooms: Issues in the role of language. In H. Mansfield, N. Pateman and N. Bednarz (eds) Mathematics for Tomorrow’s Young Children: International Perspectives on Curriculum (pp. 240-247). Boston, MA: Kluwer Academic Publishers.
132. Khisty, L.L. (2001) Effective teachers of second language learners in mathematics. In M. van den Heuvel-Panhuizen (ed.) Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 225-232). Utrecht: Utrecht University.
133. Khisty, L.L. and Chval, K. (2002) Pedagogic discourse and equity in mathematics: When teachers’ talk matters. Mathematics Education Research Journal 14, 154-168.
134. Kress, G. and van Leeuwen, T. (1994) Reading Images: The Design of Visual Communica tion. London: Routledge.
135. Lakoff, G. and Núñez, R. (2000) Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being. New York: Basic Books.
136. Lamon, S. (1994) Ratio and proportion: Cognitive foundations in unitizing and norming. In G. Harel and J. Confrey (eds) The Development of Multiplicative Reasoning in the Learning of Mathematics (pp. 89-120). New York: Suny Press.
137. Lamon, S. (1996) The development of unitizing: Its role in children’s partitioning strategies. Journal for Research in Mathematics Education 27 (2), 170-193.
138. Laporte, R. (1998) Pakistan. World Book Multimedia Encyclopedia (CD Rom). Chicago, IL: World Book Inc.
139. Lappan, G., Fey, J.T., Fitzgerald, W.M., Freil, S.N. and Phillips, E.D. (1998) Connected Mathematics. White Plains, NY: Dale Seymour Publications.
140. Lave, J. (1992) Word problems: A microcosm of theories of learning. In P. Light and G. Butterworth (eds) Context and Cognition: Ways of Learning and Knowing (pp. 74-92). Hemel Hempstead: Harvester Wheatsheaf.
141. Lee, C. (2006) Language for Learning Mathematics. Maidenhead: Open University Press.
142. Leung, C. (2005) Mathematical vocabulary: Fixers of knowledge or points of exploration? Language and Education 19 (2), 127-135.
143. Lindholm-Leary, K.J. (2001) Dual Language Education. Clevedon: Multilingual Matters.
144. Lodholz, R. (1990) The transition from arithmetic to algebra. In E.L. Edwards (ed.) Algebra for Everyone (pp. 24-33). Reston, VA: National Council of Teachers of Mathematics.
145. Makoni, S. (2003) From misinvention to disinvention of language: Multilingualism and the South African constitution. In S. Makoni, G. Smitherman, A.F. Ball and A.K. Spears (eds) Black Linguistics: Language, Society, and Politics in Africa and the Americas. London: Routledge.
146. Martin-Jones, M. (2000) Bilingual classroom interaction: A review of recent research. Language Teaching 33, 1-9.
147. Mehan, H. (1979) Learning Lessons: Social Organization in the Classroom. Cambridge, MA: Harvard University Press.
148. Mejia, A. (2004) Bilingual education in Columbia: Towards an integrated perspective. International Journal of Bilingual Education and Bilingualism 7 (5), 381-397.
149. Mendes, J.R. (2007) Numeracy and literacy in a bilingual context: Indigenous teachers education in Brazil. Educational Studies in Mathematics 64 (2), 217-230.
150. Mercer, N. and Sams, C. (2006) Teaching children how to use language to solve maths problems. Language and Education 20 (6), 507-528.
151. 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.
152. Mestre, J. (1988) The role of language comprehension in mathematics and problem solving. In R.R. Cocking and J. Mestre (eds) Linguistic and Cultural Influences on Learning Mathematics (pp. 201-220). Hillsdale, NJ: Lawrence Erlbaum.
153. Miller, L.D. (1993) Making the connection with language. The Arithmetic Teacher 41 (2), 311-316.
154. Ministry of Education (1999) Creating the Future Together: National Minimum Curriculum. Malta: Ministry of Education.
155. Ministry of Education (2006) National Curriculum for Mathematics Grades I-XII, 2006. Islamabad, Pakistan: Government of Pakistan Ministry of Education.
156. Ministry of Education and National Culture (1998) Kurrikulu Nazzjonali G.did ghall-Edukazzjoni f’Malta bejn l-eta ta’ 3 u 16-il Sena [A New National Curriculum for Education in Malta 3-16]. Malta: Ministry of Education and National Culture.
157. Ministry of Education, Youth and Employment (in collaboration with the University of Malta) (2005) National Conference 2004: The Teaching and Learning of Mathematics in Malta. Malta: Department for Curriculum Management, Ministry of Education, Youth and Employment.
158. Mohan, B. (1990) LEP students and the integration of language and content: Knowledge structures and tasks. In J. Gomez (ed.) Proceedings of the First Research Symposium on Limited English Proficient Student Issues (pp. 113-160). Washington, DC: Office for Bilingual Education and Minority Language Affairs.
159. Mohan, B. and Slater, T. (2005) A functional perspective on the critical ‘theory/practice’ relation in teaching language and science. Linguistics and Education 16, 151-172.
160. Moll, L. (ed.) (1990) Vygotsky and Education: Instructional Implications and Applications of Sociohistorical Psychology. New York: Cambridge University Press.
161. Monaghan, F. (1997) Language and mathematics: The analysis of written text in the secondary classroom. Unpublished doctoral dissertation, University of Reading.
162. Monaghan, F. (1999) Judging a word by the company it keeps: The use of concordancing software to explore aspects of the mathematics register. Language and Education 13 (1), 59-70.
163. Monaghan, F. (2000) What difference does it make? Children’s views of the differences between some quadrilaterals. Educational Studies in Mathematics 42 (2), 179-196.
164. Monaghan, F. (2005) Don’t think in your head, think aloud-using ICT to promote collaborative thinking in mathematics. Research in Mathematics Education 7, 83-100.
165. Morgan, C. (1998) Writing Mathematically: The Discourse of Investigation. London: Falmer Press.
166. Morgan, C. (2005) Words, definitions and concepts in discourses of mathematics, teaching and learning. Language and Education 19 (2), 103-117.
167. Morgan, C. (2007) Who is not multilingual now? Educational Studies in Mathematics 64 (2), 239-242.
168. Moschkovich, J. (1999a) Supporting the participation of English language learners in mathematical discussions. For the Learning of Mathematics 19 (1), 11-19.
169. Moschkovich, J. (1999b) Understanding the needs of Latino students in reformoriented mathematics classrooms. In L. Ortiz-Franco, N. Hernandez and Y. De La Cruz (eds) Changing the Faces of Mathematics: Perspectives on Latinos and Latinas (pp. 5-12). Reston, VA: National Council of Teachers of Mathematics.
170. Moschkovich, J. (2002) A situated and sociocultural perspective on bilingual mathematics learners. Mathematical Thinking and Learning 4 (2-3), 189-212.
171. Moschkovich, J. (2007) Using two languages when learning mathematics. Educational Studies in Mathematics 64 (2), 121-144.
172. Moschkovich, J. (2008) “I went by twos, he went by one:" Multiple interpretations of inscriptions as resources for mathematical discussions. The Journal of the Learning Sciences 17 (4), 551-587.
173. Mousley, J. and Marks, G. (1991) Discourses in Mathematics. Geelong: Deakin University.
174. National Center for Educational Statistics (NCES) (2002) The Conditions of Education 2002 (2002-025). Washington, DC: U.S. Department of Education.
175. National Council of Teachers of Mathematics (NCTM) (1989) Curriculum and Evaluation Standards. Reston, VA: NCTM.
176. National Council of Teachers of Mathematics (NCTM) (2000) Principles and Standards for School Mathematics. Reston, VA: NCTM.
177. Noelting, G. (1980) The development of proportional reasoning and the ratio concept. Part I-Differentiation of stages. Educational Studies in Mathematics 11, 217-253.
178. Núñez, R. (2006) Do real numbers really move? In R. Hersh (ed.) 18 Unconventional Essays on the Nature of Mathematics (pp. 160-181). New York: Springer.
179. Oakland, T. (2004) Use of educational and psychological tests internationally. Applied Psychology: An International Review 53 (2), 157-172.
180. O’Halloran, K.L. (1998) Classroom discourse in mathematics: A multisemiotic analysis. Linguistics and Education 10 (3), 359-388.
181. Parvanehnezhad, Z. and Clarkson, P.C. (2008) Iranian bilingual students’ reported use of language switching when doing mathematics. Mathematics Education Research Journal 20 (1), 52-81.
182. Peregoy, S. and Boyle, O. (1993) Reading, Writing, and Learning in ESL. White Plains, NY: Longman.
183. Phillips, C.J. and Birrell, H.V. (1994) Number learning of Asian pupils in English primary schools. Educational Research 36 (1), 51-62.
184. Pike, N.V. (2004) Co-constructing mathematical knowledge through talk in three Welsh language primary classrooms in South Wales. Unpublished doctoral dissertation, University of Wales.
185. Pimm, D. (1987) Speaking Mathematically: Communication in Mathematics Classrooms. London: Routledge and Kegan Paul.
186. Pimm, D. (1995) Symbols and Meanings in School Mathematics. London: Routledge.
187. Pujolar, J. (2000) Gender, Heteroglossia and Power. Berlin: Mouton de Gruyter.
188. QCA (UK Qualifications and Curriculum Authority) (1998) Year 5 mathematics test: Mathematics booklet. Sudbury: QCA Publications.
189. Queensland Studies Authority (2004) Mathematics: Years 1 to 10 Syllabus. Brisbane: Queensland Studies Authority.
190. Quinn, R. and Wilson, M. (1997) Writing in the mathematics classroom: Teacher beliefs and practices. The Clearinghouse 71 (1), 14-20.
191. Rahman, T. (2002) Language Ideology and Power, Language Learning Among the Muslims of Pakistan and North India. Karachi: Oxford University Press.
192. Roberts, G. (2000) Bilingualism and number in Wales. International Journal of Bilingual Education and Bilingualism 3 (1), 44-56.
193. Roberts, T. (1998) Mathematical registers in Aboriginal languages. For the Learning of Mathematics 18 (1), 10-16.
194. Robillos, M. (2001) Somali needs assessment project: A report prepared for the Somali Resource Center. Minneapolis, Minnesota: Center for Urban and Regional Affairs, University of Minnesota.
195. Rothman, R.W. and Cohen, J. (1989) The language of math needs to be taught. Academic Therapy 25 (2), 133-142.
196. Schwartzman, S. (1994) The Words of Mathematics: An Etymological Dictionary of Mathematical Terms used in English. Washington, DC: Mathematical Association of America.
197. Secada, W.G. (1991) Degree of bilingualism and arithmetic problem solving in Hispanic first graders. The Elementary School Journal 92 (2), 213-231.
198. 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.
199. Setati, M. (2002) Researching mathematics education and language in multilingual South Africa. The Mathematics Educator 12 (2), 6-20.
200. Setati, M. (2005a) Teaching mathematics in a primary multilingual classroom. Journal for Research in Mathematics Education 36 (5), 447-466.
201. Setati, M. (2005b) Power and access in multilingual mathematics classrooms. In M. Goos, C. Kanes and R. Brown (eds) Proceedings of the 4th International Mathematics Education and Society Conference (pp. 7-18). Gold Coast: Centre for Learning Research, Griffith University.
202. Setati, M. and 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.
203. Sfard, A. (2000) Symbolizing mathematical reality into being-Or how mathematical discourse and mathematical objects create each other. In P. Cobb, E. Yackel and K. McClain (eds) Symbolizing and Communicating in Mathematics Classrooms: Perspectives on Discourse, Tools, and Instructional Design (pp. 37-98). Mahwah, NJ: Lawrence Erlbaum.
204. Sfard, A., Nesher, P., Streefland, F., Cobb, P. and Mason, J. (1998) Learning mathematics through conversation: Is it as good as they say? For the Learning of Mathematics 18 (1), 41-51.
205. Sierpinska, A. (2002) Book review: Teaching mathematics in multilingual classrooms. Zentrallblatt für Didaktik der Mathematik 34 (3), 98-103.
206. Silver, E.A., Kilpatrick, J. and Schlesinger, B. (1990) Thinking Through Mathematics: Fostering Inquiry and Communication in Mathematics Classrooms. New York: College Board Publications.
207. Sinclair, J. and Coulthard, M. (1975) Towards an Analysis of Discourse: The English Used by Teachers and Pupils. Oxford: Oxford University Press.
208. Sinclair, J.M. and Renouf, A. (1988) A lexical syllabus for language learning. In R. Carter and M. McCarthy (eds) Vocabulary and Language Teaching (pp. 140-160). London: Longman.
209. Social Policy Development Centre (SPDC) (2003) Social Development in Pakistan: The State of Education. Annual Review 2002-03. Karachi, Pakistan: SPDC.
210. Sowder, J., Armstrong, B., Lamon, S., Simon, M., Sowder, L. and Thompson, A. (1998) Educating teachers to teach multiplicative structures in the middle grades. Journal of Mathematics Teacher Education 1, 127-155.
211. Stodolsky, S. (1988) The Subject Matters: Classroom Activity in Math and Social Studies. Chicago: University of Chicago Press.
212. Street, B. (2006) So what about multimodal numeracies? In K. Pahl and J. Rowsell (eds) Travel Notes from the New Literacy Studies: Instances of Practice (pp. 219-233). Clevedon: Multilingual Matters.
213. Sullivan, P. and Lilburn, P. (2002) Good Questions for Math Teaching: Why Ask Them and What to Ask, K-6. Sausalito, CA: Math Solution Publications.
214. Swain, M. and Lapkin, S. (1995) Problems in output and the cognitive processes they generate: A step towards second language learning. Applied Linguistics 16 (3), 371-391.
215. Thomas, J. (1986) Number π Maths. Melbourne: Child Migrant Education Services.
216. Thomas, W.P. and Collier, V. (1997) School Effectiveness for Language Minority Students. Washington, DC: National Clearinghouse for Bilingual Education.
217. Thompson, A., Philipp, R., Thompson, P. and Boyd, B. (1994) Calculational and conceptual orientations in teaching mathematics. In D. Aichele and A. Coxford (eds) Professional Development for Teachers of Mathematics (pp. 79-92). Reston, VA: National Council of Teachers of Mathematics.
218. Tollefson, J.W. and Tsui, A.B.M. (eds) (2004) Medium of Instruction Policies: Which Agenda? Whose Agenda? Mahwah, NJ: Lawrence Erlbaum Associates.
219. UNESCO (1975) Interactions Between Language and Mathematical Education: Final Report of the Symposium Sponsored by UNESCO, CEDO and ICMI, Nairobi, Kenya, September 1-11, 1974 UNESCO Report No. ED-74/CONF. 808, Paris: UNESCO.
220. Verschaffel, L., Greer, B. and de Corte, E. (2000) Making Sense of Word Problems.Lisse: Swets and Zeitlinger.
221. Victorian Curriculum and Assessment Authority (2002) Mathematics Curriculum and Standards Framework 2. Melbourne: Victorian Curriculum and Assessment Authority.
222. Vygotsky, L. (1986) Thought and Language. Cambridge, MA: The MIT Press.
223. Warren, B. and Rosebery, A. (1996) This question is just too, too easy. In L. Schauble and R. Glazer (eds) Innovations in Learning: New Environments for Education (pp. 97-125). Hillsdale, NJ: Lawrence Erlbaum Associates.
224. Warwick, D.P. and Reimers, F. (1995) Hope or Despair? Learning in Pakistan’s Primary Schools. London: Praeger Publishers.
225. Waters, T. and LeBlanc, K. (2005) Refugees and education: Mass public schooling without a nation-state. Comparative Education 49 (2), 129-147.
226. Welsh Assembly Government (2007a) Schools in Wales: General Statistics 2006. Cardiff: Welsh Assembly Government.
227. Welsh Assembly Government (2007b) Welsh in Schools 2007. Cardiff: Welsh Assembly Government.
228. Welsh Language Board (2003) Census 2001: Main Statistics about Welsh. Cardiff: Bwrdd yr Iaith.
229. Williams, C. (1995) Dysgu yn y sefyllfa Ddwyieithog. Cyfres Datblygu Dulliau Addysgu. Bangor: Y Ganolfan Adnoddau.
230. Williams, C. (1997) Bilingual Teaching in Further Education: Taking Stock. Bangor, Wales: Canolfan Bedwyr.
231. Williams, C., Lewis, G. and Baker, C. (1996) The Language Policy: Taking Stock. Caernarfon, Wales: Gwynedd County Council.
232. Willis, D. (1990) The Lexical Syllabus: A New Approach to Language Teaching. London: Harper Collins.
233. Young, B. (2002) Characteristics of the 100 Largest Public Elementary and Secondary School Districts in the United States: 2000-01, NCES 2002-351. Washington, DC: U.S. Department of Education, NCES.
234. Zaskis, R. (2000) Using code-switching as a tool for learning mathematical language. For the Learning of Mathematics 20 (3), 38-43.