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

References

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