Teaching Number Sense for 6th Graders in Taiwan

Der-Ching Yang; Chun-Jen Hsu

doi:10.29333/iejme/232

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Der-Ching Yang, Chun-Jen Hsu

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Abstract

This study reports on two excerpts from a 6th grade Taiwanese class, describing how a teacher examined and promoted his students’ development of number sense. It illustrates an effort to integrate number sense activities into the mathematics curriculum in ways that encourage exploration, discussion, thinking and reasoning. The results indicate that number sense can be developed through well-designed number sense activities, effective teaching, and a good learning environment. It also demonstrates that students’ number sense and mathematical thinking can be promoted through the use of multiple representations.

Keywords

Benchmark
Estimation
Learning environments
Number sense

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 4, Issue 2, May 2009, 92-109

https://doi.org/10.29333/iejme/232

Publication date: 08 Aug 2009

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References

Alajmi, A. (2004). Eighth grade Kuwaiti students’ performance in recognizing reasonable answers and strategies they use to determine reasonable answers. Unpublished doctoral dissertation, Columbia, MO: University of Missouri.
Anghileri, J. (2000). Teaching number sense. Trowbridge, Wiltshire: Cromwell Press Ltd.
Berch, D. B. (2005). Making sense of number sense: Implications for children with mathematical disability. Journal of Learning Disabilities, 38(4), 333-339.
Bobis, J. (2004). Number sense and the professional development of teachers. In A. McIntosh & L. Sparrow (Eds.), In Beyond written computation (pp. 160-170). Perth, Western Australia: Mathematics, Science & Technology Education Centre, Edith Cowan University.
Brenner, M. E., Herman, S., Ho, H. Z., & Zimmer, J. M. (1999). Cross-National Comparison of Representational Competence. Journal for Research in Mathematics Education, 30(5), 541-557.
Deheane, S. (1997). The number sense. Oxford, England: Oxford University Press.
Dreyfus, T., & Eisenberg, T. (1996).On different facets of mathematical thinking. In R. J. Sternberg & T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 253-284). Mahwah, NJ. Erlbaum
Dunphy, E. (2007). The primary mathematics curriculum: enhancing its potential for developing young children’s number sense in the early years at school. Irish Educational Studies, 26(1), 5-25.
Feigenson, L., Dehaene, & Spelke, E. S. (2003). Core systems of number. Trends in Cognitive Sciences, 8(7), 307-314.
Gallistel, C.R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43–74.
Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22(3), 170-218.
Kilpatrick, J., Swafford, J., & Findell, B. (Eds.) (2001). Adding It Up: Helping Children Learn Mathematics. Washington, DC: National Academy Press.
Lipton. J. S. & Spelke, E. S. (2003). Origins of number sense: large-number discrimination in human infants. Psychological Science, 14(5), 396-401.
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.
Menon, R. (2004). Elementary school children’s number sense. International Journal for Mathematics Teaching and Learning. Retrieved January 10, 2008 ,from http://www.cimt.plymouth.ac.uk/journal/ramamenon.pdf
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.
McIntosh, A., Reys, B. J., Reys, R. E., Bana, J., & Farrel, B. (1997). Number Sense in School Mathematics: Student Performance in Four Countries. Mathematics, Science, & Technology Education Centre, Edith Cowan University.
Ministry of Education (2003). Nine-year joint mathematics curricula plan in Taiwan. Taiwan: Taipei. (In Chinese).
National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
Reys, B. J. (1994). Promoting number sense in middle grades. Teaching Mathematics in the Middle School, 1(2), 114- 120.
Reys, R. E., & Yang, D. C. (1998). Relationship between Computational Performance and Number Sense among Sixthand Eighth-Grade Students in Taiwan. Journal for Research in Mathematics Education, 29, 225-237.
Siegler, R. S., & Booth, J. L. (2005). Development of numerical estimation: A review. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 197-212). New York: Psychology Press.
Sowder, J. (1992). Estimation and number sense. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 371-389). New York: Macmillan
Verschaffel, L., Greer, B., & De Corte, E. (2007). Whole number concepts and operations. In F. Lester, Jr. (Ed.), Second handbook of research on mathematics teaching and learning (pp. 557-628). Charlotte, NC: Information Age Publishing.
Warrington, M. A., & Kamii, C. (1998). Multiplication with Fractions: A Piagetian Constructivist Approach. Mathematics Teaching in the Middle School, 3(5), 339-343.
Yang, D. C. (2005). Number Sense Strategies used by Sixth Grade Students in Taiwan. Educational Studies, 31(3), 317-334.
Yang, D. C. (2006). Developing number sense through real-life situations in school of Taiwan. Teaching Children Mathematics, 13(2), 104-110.
Yang, D. C., Hsu, C. J., & Huang, M. C. (2004). A Study of Teaching and Learning Number Sense for Sixth Grade Students in Taiwan. International Journal of Science and Mathematics Education, 2(3), 407-430.

How to cite this article

APA

Yang, D.-C., & Hsu, C.-J. (2009). Teaching Number Sense for 6th Graders in Taiwan. International Electronic Journal of Mathematics Education, 4(2), 92-109. https://doi.org/10.29333/iejme/232

Vancouver

Yang DC, Hsu CJ. Teaching Number Sense for 6th Graders in Taiwan. INT ELECT J MATH ED. 2009;4(2):92-109. https://doi.org/10.29333/iejme/232

AMA

Yang DC, Hsu CJ. Teaching Number Sense for 6th Graders in Taiwan. INT ELECT J MATH ED. 2009;4(2), 92-109. https://doi.org/10.29333/iejme/232

Chicago

Yang, Der-Ching, and Chun-Jen Hsu. "Teaching Number Sense for 6th Graders in Taiwan". International Electronic Journal of Mathematics Education 2009 4 no. 2 (2009): 92-109. https://doi.org/10.29333/iejme/232

Harvard

Yang, D.-C., and Hsu, C.-J. (2009). Teaching Number Sense for 6th Graders in Taiwan. International Electronic Journal of Mathematics Education, 4(2), pp. 92-109. https://doi.org/10.29333/iejme/232

MLA

Yang, Der-Ching et al. "Teaching Number Sense for 6th Graders in Taiwan". International Electronic Journal of Mathematics Education, vol. 4, no. 2, 2009, pp. 92-109. https://doi.org/10.29333/iejme/232