"Mathematical knowledge for teaching": Adapting U.S. measures for use in Ireland

Journal of Mathematics Teacher Education

Volumn 11, Issue 3, 2008, Pages 171-197

  Delaney, Seán ^a   Ball, Deborah Loewenberg ^b   Hill, Heather C ^b   Schilling, Stephen G ^b   Zopf, Deborah ^b  

^a Marino Institute of Education   (Ireland)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Ireland; Mathematical knowledge for teaching; Practice of teaching; Subject matter; Test; United States

Indexed keywords

EID: 44649099474     PISSN: 13864416     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10857-008-9072-1     Document Type: Article

References (52)

1. An, S., Kulm, G., & Wu, Z. (2004). The pedagogical content knowledge of middle school, mathematics teachers in China and the U.S. Journal of Mathematics Teacher Education, 7, 145-172.
2. Andrews, P., & Hatch, G. (2000). A comparison of Hungarian and English teachers' conceptions of mathematics and its teaching. Educational Studies in Mathematics, 43 (1), 31-64.
3. Ball, D. L. (1988). Knowledge and reasoning in mathematical pedagogy: Examining what prospective teachers bring to teacher education. Unpublished doctoral dissertation, Michigan State University, East Lansing.
4. Ball, D. L. (1990). The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal, 90 (4), 449-466.
5. Ball, D. L., & Bass, H. (2000). Interweaving content and pedagogy in teaching and learning to teach. In J. Boaler (Ed.), Multiple perspectives on the teaching and learning of mathematics (pp. 83-104). Westport, CT: Ablex.
6. Ball, D. L., & Bass, H. (2003a). Making mathematics reasonable in school. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 27-44). Reston, VA: National Council of Teachers of Mathematics.
7. Ball, D. L., & Bass, H. (2003b). Toward a practice-based theory of mathematical knowledge for teaching. Paper Presented at the Proceedings of the 2002 Annual Meeting of the Canadian Mathematics Education Study Group, Edmonton, AB.
8. Ball, D. L., Bass, H., Hill, H., Sleep, L., Phelps, G., & Thames, M. H. (2006). Knowing and using mathematics in teaching. Paper Presented at the Learning Network Conference, Teacher Quality, Quantity, and Diversity, Washington DC, January 30-31. Retrieved on January 9th 2008 from http://www-personal.umich.edu/~dball/presentations/ 013106_NSF_MSP.pdf
9. Ball, D. L., Thames, M. H., & Phelps, G. (2005). Knowledge of mathematics for teaching: What makes it special? Paper Presented at the AERA Annual Conference, Montréal, Canada.
10. Bass, H., & Lewis, J. (2005, April 15). What's in collaborative work? Mathematicians and educators developing measures of mathematical knowledge for teaching. Paper Presented at the Annual meeting of the American Educational Research Association, Montréal, Canada.
11. Borko, H., Eisenhart, M., Brown, C. A., Underhill, R. G., Jones, D., & Agard, P. C. (1992). Learning to teach hard mathematics: Do novice teachers and their instructors give up too easily? Journal for Research in Mathematics Education, 23 (3), 194-222.
12. Chrostowski, S. J., & Malak, B. (2004). Translation and cultural adaptation of the TIMSS 2003 instruments. In M. O. Martin, I. V. S. Mullis & S. J. Chrostowski (Eds.), TIMSS 2003 technical report. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College.
13. Cogan, L. S., & Schmidt, W. H. (1999). An examination of instructional practices in six countries. In G. Kaiser, E. Luna & I. Huntley (Eds.), International comparisons in mathematics education (pp. 68-85). London: Falmer Press.
14. Cronbach, L. J., & Shavelson, R. J. (2004). My current thoughts on coefficient alpha and successor procedures. Education and Psychological Measurement, 64 (3), 391-418.
15. Eisenhart, M., Borko, H., Underhill, R., Brown, C., Jones, D., & Agard, P. (1993). Conceptual knowledge falls through the cracks: Complexities of learning to teach mathematics for understanding. Journal for Research in Mathematics Education, 24 (1), 8-40.
16. Fuson, K. C., Stigler, J. W., & Bartsch, K. (1988). Grade placement of addition and subtraction topics in Japan, Mainland China, the Soviety Union, Taiwan and the United States. Journal for Research in Mathematics Education, 19 (5), 449-456.
17. Gorgorió, N., & Planas, N. (2001). Teaching mathematics in multilingual classrooms. Educational Studies in Mathematics, 47 (1), 7-33.
18. Government of Ireland. (1999). Primary school curriculum: Mathematics. Dublin, Ireland: The Stationery Office.
19. Government of Ireland. (2005). An evaluation of curriculum implementation in primary schools: English, mathematics and visual arts. Dublin, Ireland: The Stationery Office.
20. Greer, B. (1987). Nonconservation of multiplication and division involving decimals. Journal for Research in Mathematics Education, 18 (1), 37-45.
21. Grisay, A. (2002). Chapter 5. Translation and cultural appropriateness of the test and survey. In R. Adams & M. Wu (Eds.), PISA 2000 Technical report. Paris: Organisation for Economic Co-operation and Development (OECD).
22. Hambleton, R. K., Merenda, P. F., & Spielberger, C. D. (Eds.). (2005). Adapting educational and psychological tests for cross-cultural assessment. Mahwah, New Jersey: Lawrence Erlbaum Associates Inc.
23. Hill, H. C. (2004a). Content knowledge for teaching mathematics measures (CKTM measures) Technical report on number and operations content knowledge items 2001-2003. Ann Arbor, MI: University of Michigan.
24. Hill, H. C. (2004b). Content knowledge for teaching mathematics measures (CKTM measures): Technical report on geometry items - 2002. Ann Arbor, MI: University of Michigan.
25. Hill, H. C. (2004c). Technical report on number and operations knowledge of students and content items-2001-2003. Ann Arbor, MI: University of Michigan.
26. Hill, H. C. (2004d). Technical report on patterns, functions and algebra items - 2001. Ann Arbor, MI: University of Michigan.
27. Hill, H. C., & Ball, D. L. (2004). Learning mathematics for teaching: Results from California's mathematics professional development institutes. Journal for Research in Mathematics Education, 35 (5), 330-351.
28. Hill, H. C., Ball, D. L., & Schilling, S. G. (2007). Unpacking "Pedagogical content knowledge": Conceptualizing and measuring teachers' topic-specific knowledge of students. Journal for Research in Mathematics Education (in review).
29. Hill, H. C., Schilling, S. G., & Ball, D. L. (2004). Developing measures of teachers' knowledge for teaching. The Elementary School Journal, 105 (1), 11-30.
30. Jaworski, B., & Phillips, D. (1999). Looking abroad: International comparisons and the teaching of mathematics in Britain. In B. Jaworski & D. Phillips (Eds.), Comparing standards internationally: Research and practice in mathematics and beyond (pp. 7- 22). Oxford: Symposium Books.
31. Keitel, C., & Kilpatrick, J. (1999). The rationality and irrationality of international comparative studies. In G. Kaiser, E. Luna, & I. Huntley (Eds.), International comparisons in mathematics education (pp. 241-256). London: Falmer Press.
32. LeTendre, G. K., Baker, D. P., Akiba, M., Goesling, B., & Wiseman, A. (2001). Teachers' work: Institutional isomorphism and cultural variation in the U.S., Germany, and Japan. Educational Researcher, 30 (6), 3-15.
33. Ma, L. (1999). Knowing and teaching elementary mathematics. Mahwah, New Jersey: Lawrence Erlbaum Associates Inc.
34. Maxwell, B. (1996). Translation and cultural adaptation of the survey instruments. In M. O. Martin & D. L. Kelly (Eds.), Third international mathematics and science study (TIMSS) technical report (Vol. 1, pp. 8-1-8-10). Chestnut Hill, MA: Boston College.
35. Mayer, R. E., Sims, V., & Tajika, H. (1995). A comparison of how textbooks teach mathematical problem solving in Japan and the United States. American Educational Research Journal, 32 (2), 443-460.
36. Meyer, J. W., Ramirez, F. O., & Soysal, Y. N. (1992). World expansion of mass education. Sociology of Education, 65 (2), 128-149.
37. Mullis, I. V. S., Kelly, D. L., & Haley, K. (1996). Translation verification procedures. In M. O. Martin & I. V. S. Mullis (Eds.), Third international mathematics and science study: Quality assurance in data collection (pp. 1-1-1-14). Chestnut Hill, MA: Boston College.
38. Murphy, B. (2004). Practice in Irish infant classrooms in the context of the Irish Primary School Curriculum (1999): Insights from a study of curriculum implementation. International Journal of Early Years Education, 12 (3), 245-257.
39. National Council for Curriculum and Assessment. (2005). Primary curriculum review, phase 1: Final report. Dublin: NCCA.
40. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
41. Santagata, R. (2004). "Are you joking or are you sleeping?" Cultural beliefs and practices in Italian and U.S. tachers' mistake-handling strategies. Linguistics and Education, 15, 141-164.
42. Schmidt, W. H., Jorde, D., Cogan, L. S., Barrier, E., Gonzalo, I., Moser, U., et al. (1996). Characterizing pedagogical flow: An investigation of mathematics and science teaching in six countries. Dordrecht, NL: Kluwer Academic Publishers.
43. Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 4-14.
44. Silver, E. A., Leung, S. S., & Cai, J. (1995). Generating multiple solutions for a problem: A comparison of the responses of U.S. and Japanese students. Educational Studies in Mathematics, 28 (1), 35-54.
45. Stein, M. K., Baxter, J. A., & Leinhardt, G. (1990). Subject-matter knowledge and elementary instruction: A case from functions and graphing. American Educational Research Journal, 27 (4), 639-663.
46. Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world's teachers for improving education in the classroom. New York: The Free Press.
47. Stigler, J. W., Lee, S.-Y., & Stevenson, H. W. (1987). Mathematics classrooms in Japan, Taiwan and the United States. Child Development, 58 (5), 1272-1285.
48. Walsh, T. (2006). A critical analysis of curricular policy in Irish primary schools, 1897-1990. Unpublished doctoral dissertation, National University of Ireland Maynooth, Kildare.
49. Wilson, M., & Xie, Y. (2004). The imperial vs. metric study (IMS). Retrieved May 6th 2006, 2006.
50. Wilson, S. M. (2003). California dreaming: Reforming mathematics education. New Haven, CT: Yale University Press.
51. Wilson, S. M., & Berne, J. (1999). Teacher learning and the acquisition of professional knowledge: An examination of research on contemporary professional development. Review of Research in Education, 24, 173-209.
52. Zimowski, M. F., Muraki, E., Mislevy, R. J., & Bock, R. D. (1996). Bilog-MG 3. Chicago: Scientific Software International.