An investigation of 3rd-grade Taiwanese students' performance in number sense

Educational Studies

Volumn 34, Issue 5, 2008, Pages 443-455

  Yang, Der Ching ^a   Li, Mao Neng Fred ^a  

^a NATIONAL CHIAYI UNIVERSITY   (Taiwan)

Author keywords

3rd grade students; Computerised testing; Number sense; Taiwan

Indexed keywords

EID: 57049103967     PISSN: 03055698     EISSN: 14653400     Source Type: Journal    
DOI: 10.1080/03055690802288494     Document Type: Article

References (31)

1. Australian Education Council. 1991. A national statement on mathematics for Australian Schools. Melbourne: Curriculum Corporation.
2. Cockcroft, W.H. 1982. Mathematics count. London: HMSO.
3. Cohen, J. 1988. Statistical power analysis for the behavioural sciences. New York: Academic Press.
4. Fennema, E. 1990. Justice, equity, and mathematics education. In Mathematics and gender: Influences on teachers and students, ed. E. Fennema and G. Leder, 1-9. New York: Teachers College Press.
5. Graeber, A.O., and D. Tirosh. 1990. Insights fourth- and fifth-graders bring to multiplications and division with decimals. Educational Studies in Mathematics 21: 565-88.
6. Greer, B. 1987. Nonconservation of multiplication and division involving decimals. Journal for Research in Mathematics 178: 37-45.
7. Hiebert, J., and D.A. Grouws. 2007. The effects of classroom mathematics taching on students' learning. In Second handbook of research on mathematics teaching and learning, ed. F. Lester, 371-404. Greenwich, CT: Information Age.
8. Hsu, C.Y., D.C. Yang, and M.N. Li. 2001. The design of The fifth and sixth grade number sense rating scale [in Chinese]. Journal of Science Education 9, no. 4: 351-74.
9. Japanese Ministry of Education. 1989. Mathematics curriculum for the elementary school. Tokyo, Printing Bureau.
10. Johnston, T. 2005. No evidence of innate gender differences in math and science, scholars assert: Stanford, February 9, 2005. http://news-service. stanford.edu/news/2005/february9/math-020905.html (accessed. 12 January 2008).
11. McIntosh, A., B.J. Reys, and R.E. Reys. 1992. A proposed framework, for examining basic number sense. For the Learning of Mathematics 12: 2-8.
12. McIntosh, A., B.J. Reys, R.E. Reys, J. Bana, and B. Farrel. 1997. Number sense in school mathematics: Student performance in four countries. Perth: Edith Cowan University.
13. Markovits, Z., and J.T. Sowder. 1994. Developing number sense: An intervention study in grade 7. Journal for Research in Mathematics Education 25: 4-29.
14. Menon, R. 2004. Elementary school children's number sense. International Journal for Mathematics Teaching and Learning. http://www.cimt.plymouth.ac.uk/journal/ramamenon.pdf (accessed 10 January 2008).
15. Ministry of Education in Taiwan. 2003. Nine-year-integrated mathematics curriculum standards for national schools from grades 1 to 9 in Taiwan. Taiwan: Ministry of Education.
16. National Council of Teachers of Mathematics. 2000. The principles and standards for school mathematics. Reston, VA: NCTM.
17. National Research Council. 2001. Adding it up: Helping children learn mathematics. In Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Science and Education: Report, ed. J. Kilpatrick, J. Swafford and B. Findell, 231-54. Washington, DC: National Academy Press.
18. -. 2004. On evaluating curricula effectiveness: Judging the quality of K-12 mathematics evaluations. In Committee for a Review of the Evaluation Data on the Effectiveness of NSF-supported and Commercially Generated Mathematics Curricular Materials: Report, ed. J. Confrey and V. Stohl, 185-205. Washington, DC: National Academy Press, Mathematical Science Education Board, Center for Education, Division of Behavioral and Social Science and Education.
19. Reys, R.E., and D.C. Yang. 1998. Relationship between computational performance and number sense among 6th- and 8th-grade students in Taiwan. Journal for Research in Mathematics Education 29: 225-37.
20. Reys, R.E., B.J. Reys, A. McIntosh, G. Emanuelsson, B. Johansson, and D.C. Yang. 1999. Assessing number sense of students in Australia, Sweden, Taiwan and the United. States. School Science and Mathematics 99, no. 2: 61-70.
21. Sowder, J.T. 1992. Estimation and number sense. In Handbook of research on mathematics teaching and learning, ed. D.A. Grouws, 371-89. New York: Macmillan.
22. Stein, M. K., J. Remillard, and M..S. Smith. 2007. How curriculum influences student learning. In Second handbook of research on mathematics teaching and learning, ed. F. Lester, 319-69. Greenwich, CT: Information Age.
23. Van den Heuvel-Panhuizen, M., ed. 2001. Children and mathematics. Utrecht: University of Utrecht, Freuenthal Institute.
24. Verschaffel, L., B. Greer, and E. De Corte. 2007. Whole number concepts and operations. In Second handbook of research on mathematics teaching and learning, ed. F. Lester, 557-628. Charlotte, NC: Information Age.
25. Wearne, D., and J. Hiebert. 1988. Constructing and using meaning for mathematical symbols: The case of decimal fractions. In Number concepts and operations in the middle grades, ed. J. Hiebert and M. Behr, 220-35. Hillsdale, NJ: Erlbaum.
26. Yang, D.C. 2005. Number sense strategies used by 6th-grade students in Taiwan. Educational Studies 31, no. 3: 317-34.
27. -. 2007. Investigating the strategies used by pre-service teachers in Taiwan when responding to number sense questions. School Science and Mathematics 107, no. 7: 293-301.
28. Yang, D.C., C.J. Hsu, and M.C. Huang. 2004. A study of teaching and learning number sense for 6th-grade students in Taiwan. International Journal of Science and Mathematics Education 2, no. 3: 407-30.
29. Yang, D.C., and F.Y. Huang. 2004. Relationships among computational performance, pictorial representation, symbolic representation, and number sense of sixth grade students in Taiwan. Educational Studies 30, no. 4: 373-89.
30. Yang, D.C., M.N. Li, and C.I. Lin: In press. A study of the performance of 5th graders in number sense and its relationship to achievement in mathematics. International Journal of Science and Mathematics Education.
31. Yoshikawa, S. 1994. Computational estimation: Curriculum and instructional issues from the Japanese perspective. In Computational alternatives for the twenty-first century: Cross-cultural perspectives from Japan and the United States, ed. R. Reys, 51-62. Reston, VA: NCTM.