Learning to solve addition and subtraction word problems in English as an imported language

Educational Studies in Mathematics

Volumn 82, Issue 2, 2013, Pages 223-244

  Verzosa, Debbie Bautista ^a   Mulligan, Joanne ^a  

^a MACQUARIE UNIVERSITY   (Australia)

Author keywords

Filipino students; Imported language; Pedagogical intervention; Word problem interview; Word problems

Indexed keywords

EID: 84872489474     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-012-9420-z     Document Type: Article

References (72)

1. Adetula, L. O. (1990). Language factor: Does it affect children's performance on word problems? Educational Studies in Mathematics, 21, 351-365.
2. Bansilal, S. (2011). Assessment reform in South Africa: Opening up or closing spaces for teachers? Educational Studies in Mathematics, 78, 91-107.
3. Barwell, R. (2009). Multilingualism in mathematics classrooms: Global perspectives. Bristol, UK: Multilingual Matters.
4. Bautista, D., Mitchelmore, M., & Mulligan, J. T. (2009). Factors influencing Filipino children's solutions to addition and subtraction word problems. Educational Psychology, 29, 729-745.
5. Bautista, D., & Mulligan, J. T. (2010). Why do disadvantaged Filipino children find word problems in English difficult? In L. Sparrow, B. Kissane, & C. Hurst (Eds.), Shaping the future of mathematics education (Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia (pp. 69-76). Fremantle, Western Australia: MERGA.
6. Bautista, D., Mulligan, J. T., & Mitchelmore, M. (2009). Young Filipino students making sense of arithmetic word problems in English. Journal of Science and Mathematics Education in Southeast Asia, 32, 131-160.
7. Bernardo, A. B. I. (1999). Overcoming obstacles to understanding and solving word problems in mathematics. Educational Psychology, 19, 149-163.
8. Bernardo, A. B. I. (2000). The multifarious effects of language on mathematical learning and performance among bilinguals: A cognitive science perspective. In M. L. S. Bautista, T. A. Llamzon, & B. P. Sibayan (Eds.), Parangal cang Brother Andrew: Festschrift for Andrew Gonzalez on his sixtieth birthday Manila. Linguistic Society of the Philippines: Philippines.
9. Bernardo, A. B. I. (2008). English in Philippine education: Solution or problem? In M. L. S. Bautista & K. Bolton (Eds.), Philippine English: Linguistic and literary perspectives (pp. 29-48). Hong Kong: Hong Kong University Press.
10. Borlongan, A. M. (2009). Tagalog-English code-switching in English language classes: Frequency and forms. TESOL Journal, 1, 28-42.
11. Brissiaud, R. (1994). Teaching and development: Solving "missing addend" problems using subtraction. European Journal of Psychology of Education, 9, 343-365.
12. Brissiaud, R., & Sander, E. (2010). Arithmetic word problem solving: A Situation Strategy First framework. Developmental Science, 13, 92-107.
13. Brock-Utne, B. (2007). Language of instruction and student performance: New insights from research in Tanzania and South Africa. International Review of Education, 53, 509-530.
14. Carpenter, T. P., Fennema, E., & Franke, M. L. (1996). Cognitively Guided Instruction: A knowledge base for reform in primary mathematics instruction. The Elementary School Journal, 97, 3-20.
15. Carpenter, T. P., & Moser, J. M. (1984). The acquisition of addition and subtraction concepts in grades one through three. Journal for Research in Mathematics Education, 15, 179-202.
16. Carteciano, J. A. (2005). NRCP/DOST addresses dire state of S& T education in the regions. Retrieved December 23, 2008, from http://nrcp. dost. gov. ph/index. php?option=com_content& task=view& id=31& Itemid=106.
17. Clarkson, P. C. (1992). Language and mathematics: A comparison of bilingual and monolingual students of mathematics. Educational Studies in Mathematics, 23, 417-429.
18. Clarkson, P. C. (2007). Australian Vietnamese students learning mathematics: High ability bilinguals and their use of their languages. Educational Studies in Mathematics, 64, 191-215.
19. Clarkson, P. C., & Dawe, L. (1994). Problem solving in two languages: A longitudinal study of bilingual students in Melbourne and Sydney. In G. Bell, R. J. Wright, N. Leeson & J. Geake (Eds.), Challenges in Mathematics education: Constraints on construction (Proceedings of the 17th annual conference of the Mathematics Education Research Group of Australasia, Vol. 1, pp. 173-178). Lismore: NSW: MERGA.
20. Cummins, D. D. (1991). Children's interpretations of arithmetic word problems. Cognition and Instruction, 8, 261-289.
21. Cummins, J. (1979). Linguistic interdependence and the educational development of bilingual children. Review of Educational Research, 49, 222-251.
22. Cummins, J. (2000). Language, power, and pedagogy: Bilingual children in the crossfire. Clevedon, UK: Multilingual Matters.
23. Davis, E. K., Seah, W. T., & Bishop, A. J. (2009). Institutional gaps in mathematics education research procedures between a developed and developing country. In R. Hunter, B. Bicknell, & T. Burgess (Eds.), Crossing divides (Proceedings of the 32nd annual conference of the Mathematics Education Research Group of Australasia (pp, Vol. 1, pp. 137-144). Palmerston North, NZ: MERGA.
24. De Corte, E., & Verschaffel, L. (1987). The effect of semantic structure on first graders' strategies for solving addition and subtraction word problems. Journal for Research in Mathematics Education, 18, 363-381.
25. Dede, C. (2004). If design-based research is the answer, what is the question? Journal of the Learning Sciences, 13, 105-114.
26. Depaepe, F., De Corte, E., & Verschaffel, L. (2010). Teachers' approaches toward word problem solving: Elaborating or restricting the problem context. Teaching and Teacher Education, 26, 152-160.
27. Department of Education Bureau of Elementary Education [DepEd]. (2003). Basic education curriculum (Philippine learning competencies): Mathematics. Pasig City, Philippines: Author.
28. Dominguez, H. (2011). Using what matters to students in bilingual mathematics problems. Educational Studies in Mathematics, 76, 305-328.
29. Ellis, S. (1997). Strategy choice in sociocultural context. Developmental Review, 17, 490-524.
30. English, L. D., & Halford, G. S. (1995). Mathematics education: Models and processes. Mahwah, NJ: Lawrence Erlbaum.
31. Fernandes, A., Anhalt, C. O., & Civil, M. (2009). Mathematical interviews to assess Latino students. Teaching Children Mathematics, 16, 162-169.
32. Fillmore, L. W. (2007). English learners and mathematics learning: Language issues to consider. In A. H. Schoenfeld (Ed.), Assessing mathematical proficiency (pp. 333-344). Cambridge, UK: Cambridge University Press.
33. Fletcher, C. R., & Chrysler, S. T. (1990). Surface forms textbases, and situation models: Recognition memory for three types of textual information. Discourse Processes, 13, 175-190.
34. Fuson, K. C. (1992). Research on whole number addition and subtraction. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 243-275). New York: Macmillan Publishing.
35. Gonzalez, A. (2006). The language planning situation in the Philippines. In R. B. Baldauf Jr. & R. B. Kaplan (Eds.), Language planning and policy in the Pacific: Fiji, the Philippines, and Vanuatu (Vol. 1, pp. 114-153). Clevedon, UK: Multilingual Matters.
36. Gravemeijer, K., & van Eerde, D. (2009). Design research as a means for building a knowledge base for teachers and teaching in mathematics education. Elementary School Journal, 109, 510-524.
37. Gutierrez, R. (2008). A "Gap-gazing" fetish in mathematics education? Problematizing research on the achievement gap. Journal for Research in Mathematics Education, 39, 357-364.
38. Hirsch, E. D., Jr. (2003). Reading comprehension requires knowledge-of words and the world. American Educator, 27, 10-13, 16-22, 28-29, 48.
39. Jorgensen, R. (2011). Language, culture and learning mathematics: A Bourdieuian analysis of Indigenous learning. In C. Wyatt-Smith, J. Elkins, & S. Gunn (Eds.), Multiple perspectives on difficulties in learning literacy and numeracy (pp. 315-329). Dordrecht, Netherlands: Springer.
40. Kazima, M. (2007). Malawian students' meanings for probability vocabulary. Educational Studies in Mathematics, 64, 169-189.
41. Kintsch, W. (1994). Text comprehension, memory, and learning. American Psychologist, 49, 294-303.
42. Kolson, K., Mole, S., & Silva, M. (2006). Dot card and ten frame activities. Retrieved October 2, 2008, from http://www. wsd1. org/PC_math/Dot%20Card%20and%20Ten%20Frame%20Package2005. pdf.
43. Lean, G. A., Clements, M. A., & Del Campo, G. (1990). Linguistic and pedagogical factors affecting children's understanding of arithmetic word problems: A comparative study. Educational Studies in Mathematics, 21, 165-191.
44. Leron, U., & Hazzan, O. (1997). The world according to Johnny: A coping perspective in mathematics education. Educational Studies in Mathematics, 32, 265-292.
45. Lim, C. S., & Presmeg, N. (2011). Teaching mathematics in two languages: A teaching dilemma of Malaysian Chinese primary schools. International Journal of Science and Mathematics Education, 9, 137-161.
46. Lubienski, S. T. (2000). Problem solving as a means towards mathematics for all: An exploratory look through a class lens. Journal for Research in Mathematics Education, 31, 454-482.
47. Meyer, D. Z., & Avery, L. M. (2009). Excel as a qualitative data analysis tool. Field Methods, 21, 91-112.
48. Nathan, M. J., Kintsch, W., & Young, E. (1992). A theory of algebra-word-problem comprehension and its implications for the design of learning environments. Cognition and Instruction, 9, 329-389.
49. Nebres, B. (2009). Engaging the community, targeted interventions: Achieving scale in basic education reform. Educational Research for Policy and Practice, 8, 231-245.
50. Newman, A. (1983). The Newman language of mathematics kit. Sydney: Harcourt Brace Jovanovich Group.
51. 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, 73, 43-64.
52. Nunes, T., & Bryant, P. (1996). Children doing mathematics. Cambridge, MA: Blackwell.
53. Nunes, T., & Bryant, P. (2009). Paper 2: Understanding whole numbers. In T. Nunes, P. Bryant & A. Watson (Eds.), Key Understandings in mathematics learning. London: Nuffield Foundation. Retrieved from http://www. nuffieldfoundation. org/sites/default/files/P2. pdf.
54. Nunes, T., Bryant, P., Evans, D., Bell, D., & Barros, R. (2012). Teaching children how to include the inversion principle in their reasoning about quantitative relations. Educational Studies in Mathematics, 79, 371-388.
55. Perret-Clermont, A. N., Brun, J., Saada, E. H., & Schubauer-Leoni, M. L. (1984). Psychosociological processes, operatory level and the acquisition of knowledge. Interactions Didactiques, 2, 1-51.
56. Posel, D., & Casale, D. (2011). Language proficiency and language policy in South Africa: Findings from new data. International Journal of Educational Development, 31, 419-426.
57. Schweisfurth, M. (2011). Learner-centred education in developing country contexts: From solution to problem? International Journal of Educational Development, 31, 419-426.
58. Secada, W. G. (1991). Degree of bilingualism and arithmetic problem solving in Hispanic first graders. The Elementary School Journal, 92, 213-231.
59. Setati, M., & Barwell, R. (2006). Discursive practices in two multilingual mathematics classrooms: An international comparison. African Journal of Research in Mathematics, Science and Technology Education, 10, 27-38.
60. Skovsmose, O. (2005). Foregrounds and politics of learning obstacles. For the Learning of Mathematics, 25, 4-10.
61. Sowder, L. (1988). Children's solutions of story problems. Journal of Mathematical Behavior, 7, 227-238.
62. Tobias, B. (2005). Mathematical word problems: The student's voice. Perspectives in Education, 23, 61-75.
63. van Dijk, T. A., & Kintsch, W. (1983). Strategies of discourse comprehension. New York: Academic Press.
64. Vergnaud, G. (1979). The acquisition of arithmetical concepts. Educational Studies in Mathematics, 10, 263-274.
65. Vergnaud, G. (1982). A classification of cognitive tasks and operations of thought involved in addition and subtraction problems. In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective. Hillsdale, NJ: Lawrence Erlbaum.
66. Vergnaud, G. (2009). The theory of conceptual fields. Human Development, 52, 83-94.
67. Verschaffel, L., & De Corte, E. (1997). Word problems: A vehicle for promoting authentic mathematical understanding and problem solving in the primary school? In T. Nunes & P. Bryant (Eds.), Learning and teaching mathematics: An international perspective (pp. 69-97). East Sussex, UK: Psychology Press.
68. Verschaffel, L., Greer, B., & De Corte, E. (2007). Whole number concepts and operations. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 557-628). Charlotte, NC: Information Age Publishing.
69. Vinner, S. (1997). The pseudo-conceptual and the pseudo-analytical thought processes in mathematics learning. Educational Studies in Mathematics, 34, 97-129.
70. Weber, K., Radu, I., Mueller, M., Powell, A., & Maher, C. (2010). Expanding participation in problem solving in a diverse middle school mathematics classroom. Mathematics Education Research Journal, 22, 91-118.
71. Whang, W. H. (1996). The influence of English-Korean bilingualism in solving mathematics word problems. Educational Studies in Mathematics, 30, 289-312.
72. Wright, R. J., Martland, J., & Stafford, A. K. (2000). Early numeracy: Assessment for teaching and intervention. London: Paul Chapman Publishing.