Number sense strategies used by 6th-grade students in Taiwan

Educational Studies

Volumn 31, Issue 3, 2005, Pages 317-333

  Yang, Der Ching ^a  

^a NATIONAL CHIAYI UNIVERSITY   (Taiwan)

Author keywords

Benchmarks; Number sense; Numbers of magnitude; Strategy; Written algorithms

Indexed keywords

EID: 27644592400     PISSN: 03055698     EISSN: None     Source Type: Journal    
DOI: 10.1080/03055690500236845     Document Type: Review

References (36)

1. Altizer-Tuning, C. (1984) One point of view: crisis in arithmetic teaching: the future is here, Arithmetic Teacher, 32(1), 2.
2. Australian Education Council (1991) A national statement on mathematics for Australian Schools (Melbourne, Curriculum Corporation).
3. Beaton, A. E., Mullis, I., Martin, M. O., Gonzalez, E. J., Kelly, D. L. & Smith, T. A. (1997) Mathematics achievement in the middle school years. IEA's Third International Mathematics and Science Study (Chestnut Hill, MA, Boston College, Center for the Study of Testing, Evaluation and Educational Policy).
4. Burns, M. (1994) Arithmetic: the last holdout, Phi Delta Kappen, February, 471-476.
5. Ekenstam, A. (1977) On children's quantitative understanding of numbers, Educational Studies in Mathematics, 8, 317-332.
6. Graeber, A. O. & Tirosh, D., (1990) Insights fourth and fifth graders bring to multiplication and division with decimals, Educational Studies in Mathematics, 21, 565-588.
7. Greeno, J. G. (1991) Number sense as situated knowing in a conceptual domain, Journal for Research in Mathematics Education, 22, 170-218.
8. Greer, J. G. (1987) Nonconservation of multiplication and division involving decimals, Journal for Research in Mathematics, 18, 37-45.
9. Hiebert, J. (1984) Children's mathematics learning: the struggle to link form and understanding, Elementary School Journal, 84, 496-513.
10. Howden, H. (1989) Teaching number sense, Arithmetic Teacher, 36(6), 6-11.
11. Markovits, Z. & Sowder, J. T. (1994) Developing number sense: an intervention study in grade 7, Journal for Research in Mathematics Education, 25(1), 4-29.
12. McIntosh, A., Reys, B. J. & Reys, R. E. (1992) A proposed framework for examining basic number sense, For the Learning of Mathematics, 12(3), 2-8.
13. McIntosh, A., Reys, B. J., Reys, R. E., Bana, J. & Farrell, B. (1997) Number sense in school mathematics: student performance in four countries (Perth, Edith Cowan University).
14. Ministry of Education (2001) Nine-year-integrated mathematics curriculum standards for schools from grade 1 to 9 in Taiwan (Taiwan, Ministry of Education).
15. Mullis, I. V. S., Martin, M. O., Gonzalez, E. J. & Chrostowski, S. J. (2004) Findings from IEA's Trends in International Mathematics and Science Study at the Fourth and Eighth Grades (Chestnut Hill, MA, TIMSS & PIRLS International Study Center, Boston College).
16. Muneer, J. (1999) The relationship between number sense and computational performance in grade 9 of Bethlehem area schools. Unpublished Master's thesis, University of Birzeit, Israel.
17. National Council of Teachers of Mathematics (1989) Curriculum and evaluation standards for school mathematics (Reston, VA, NCTM).
18. National Council of Teachers of Mathematics (2000) The principles and standards for school mathematics (Reston, VA, NCTM).
19. National Research Council (1989) Everybody counts. A report to the nation on the future of mathematics education (Washington, DC, National Academy Press).
20. Plunkett, S. (1979) Decomposition and all that rot, Mathematics in Schools, 8, 2-5.
21. Reys, B. J. (1994) Promoting number sense in middle grades, Teaching Mathematics in the Middle School, 1(2), 114-120.
22. Reys, R. E., Reys, B. J., Nohda, N., Ishida, J., Yoshikawa, S. & Shimizu, K. (1991) Computational estimation performance and strategies used by fifth- and eighth-grade Japanese students, Journal for Research in Mathematics Education, 22, 39-58.
23. Reys, R. E., & Yang, D. C. (1998) Relationship between computational performance and number sense among sixth- and eighth-grade students in Taiwan, Journal for Research in Mathematics, 29, 225-237.
24. Skemp, R. R. (1982) Understanding the symbolism of mathematics (Special Issue), Visible Language, 16(3).
25. Sowder, J. (1992a) Estimation and number sense, in: D. A. Grouws (Ed.) Handbook of research on mathematics teaching and learning (New York, Macmillan), 371-389.
26. Sowder, J. (1992b) Making sense of numbers in school mathematics, in: G. Leinhardt, & R. Hattrup (Eds) Analysis of arithmetic for mathematics teaching (Hillsdale, NJ, Erlbaum), 1-51.
27. Sowder, J. T. & Schappelle, B. P. (1989) Establishing foundations for research on number sense and related topics: report of a conference (San Diego, CA, San Diego State University, Center for Research in Mathematics and Science Education).
28. Sowder, J. T. & Wheeler, M. M. (1989) The development of concepts and strategies used in computational estimation, Journal for Research in Mathematics Education, 20, 130-146.
29. Sowder, L. (1988) Children's solution of story problems, Journal of Mathematical Behavior, 7, 227-238.
30. Stevenson, H. W., Chen, C. & Lee, S. Y. (1993) Mathematical achievement of Chinese, Japanese and American children: ten years later, Science, 259, 53-58.
31. Stevenson, H. W. Lee, S. Y. & Stigler, J. W. (1986) Mathematical achievement of Chinese, Japanese and American children, Science, 231, 693-699.
32. Stigler, J. W., Lee, S. Y. & Stevenson, H. W. (1991) Mathematical knowledge of Japanese, Chinese, and American elementary school children (Reston, VA, NCTM).
33. Treffers, A. (1991) Meeting innumeracy at primary school, Educational Studies in Mathematics, 22, 333-352.
34. Warrington, M. A. & Kamii, C. (1998) Multiplication with fractions: a Piagetian, constructivist approach, Mathematics Teaching in the Middle School, 3(5), 339-343.
35. Wearne, D. & Hiebert, J. (1988) Constructing and using meaning for mathematical symbols: the case of decimal fractions, in: J. Hiebert & M. Behr (Eds) Number concepts and operations in the middle grades (Hillsdale, NJ, Erlbaum)
36. Yang, D. C. (1995) Number sense performance and strategies possessed by sixth and eighth grade students in Taiwan, Dissertation Abstracts International, 57, 3865A.