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Mathematical Learning and Its Difficulties in Taiwan: Insights from Educational Practice

  • Ting-Ting Chang
  • Jun Ren Lee
  • Nai-Shing YenEmail author
Chapter

Abstract

This chapter introduces the key issues of mathematical learning and the difficulties encountered in Taiwan. Focusing on the characteristics of Asian culture and how it impacts on children learning mathematics, we review the main issues of mathematical learning, including students’ academic achievement, learning difficulties, identification of mathematical learning difficulties (MLD), and placement in East Asia from a distinctly educational perspective. We begin the chapter by introducing the cultural background of Taiwan, which highly affects parents’ perception and how they raise children throughout their schooling. We then summarize the statistics on international comparative data on students’ academic performance and attitudes toward mathematics. National differences and possible mechanisms are highlighted and discussed accordingly. Next, we introduce the educational policies of diagnosis and placement of learning difficulties. Finally, we close this chapter by portraying the assessment tools and diagnostic criteria that are commonly used to identify MLD in Taiwan. Through the lens of highlighting cultural distinctiveness, we seek to provide insights into how the cognitive and behavioral mechanism of mathematical learning can be influenced by education and accordingly enhance mathematical learning in educational practice.

Keywords

Developmental dyscalculia Cultural difference Learning disabilities Special education Dyscalculia assessment 

Notes

Acknowledgements

The authors thank Dr. Yuchun Chen for her valuable feedback and Pei-Fang Lee for her assistance with the figures.

Reference

  1. Ashcraft, M. H. (2002). Math anxiety: Personal, educational, and cognitive consequences. Current Directions in Psychological Science, 11(5), 181–185.  https://doi.org/10.1111/1467-8721.00196 CrossRefGoogle Scholar
  2. Ashcraft, M. H., & Krause, J. A. (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review, 14(2), 243–248.CrossRefGoogle Scholar
  3. Ashkenazi, S., Black, J. M., Abrams, D. A., Hoeft, F., & Menon, V. (2013). Neurobiological underpinnings of math and reading learning disabilities. Journal of Learning Disabilities, 46(6), 549–569.  https://doi.org/10.1177/0022219413483174 CrossRefGoogle Scholar
  4. Aunio, P., Aubrey, C., Godfrey, R., Luejuan, P., & Liu, Y. (2008). Children’s early numeracy in England, Finland and People’s republic of China. International Journal of Early Years Education, 16(3), 203–221.CrossRefGoogle Scholar
  5. Butterworth, B., Varma, S., & Laurillard, D. (2011). Dyscalculia: From brain to education. Science, 332(6033), 1049–1053.  https://doi.org/10.1126/science.1201536 CrossRefGoogle Scholar
  6. Campbell, J. I. D., & Xue, Q. (2001). Cognitive arithmetic across cultures. Journal of Experimental Psychology: General, 130(2), 299–315.CrossRefGoogle Scholar
  7. Cheng, Z., & Lorna, K. S. C. (2005). Chinese number-naming advantages? Analyses of Chinese pre-schoolers' computational strategies and errors. International Journal of Early Years Education, 13(2), 179–192.  https://doi.org/10.1080/09669760500171279 CrossRefGoogle Scholar
  8. Cho, S., Metcalfe, A. W., Young, C. B., Ryali, S., Geary, D. C., & Menon, V. (2012). Hippocampal-prefrontal engagement and dynamic causal interactions in the maturation of children's fact retrieval. Journal of Cognitive Neuroscience, 24(9), 1849–1866.  https://doi.org/10.1162/jocn_a_00246 CrossRefGoogle Scholar
  9. Cortiella, C., & Horowitz, S. (2014). The state of learning disabilities: Facts, trends, and emerging issues. New York: National Center for Learning Disabilities.Google Scholar
  10. De Smedt, B., Janssen, R., Bouwens, K., Verschaffel, L., Boets, B., & Ghesquière, P. (2009). Working memory and individual differences in mathematics achievement: A longitudinal study from first grade to second grade. Journal of Experimental Child Psychology, 103(2), 186–201.  https://doi.org/10.1016/j.jecp.2009.01.004 CrossRefGoogle Scholar
  11. Education Bureau, K. C. G. (2016). All cities and counties short-term tutorial center. Retrieved from http://bsb.edu.tw/ (in Chinese).
  12. Foley, A. E., Herts, J. B., Borgonovi, F., Guerriero, S., Levine, S. C., & Beilock, S. L. (2017). The math anxiety-performance link: A global phenomenon. Current Directions in Psychological Science, 26(1), 52–58.CrossRefGoogle Scholar
  13. Geary, D. C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37, 4–15.CrossRefGoogle Scholar
  14. Geary, D. C. (2013). Early foundations for mathematics learning and their relations to learning disabilities. Current Directions in Psychological Science, 22(1), 23–27.  https://doi.org/10.1177/0963721412469398 CrossRefGoogle Scholar
  15. Geary, D. C., Hamson, C. O., & Hoard, M. K. (2000). Numerical and arithmetical cognition: A longitudinal study of process and concept deficits in children with learning disability. Journal of Experimental Child Psychology, 77(3), 236–263.  https://doi.org/10.1006/jecp.2000.2561 CrossRefGoogle Scholar
  16. Göbel, S. M., Shaki, S., & Fischer, M. H. (2011). The cultural number line: A review of cultural and linguistic influences on the development of number processing. Journal of Cross-Cultural Psychology, 42(4), 543–565.  https://doi.org/10.1177/0022022111406251 CrossRefGoogle Scholar
  17. Hung, L.-Y. (2006). The first thirty years of learning disabilities in Taiwan. Special Education Quarterly, 100, 3–15 (in Chinese).Google Scholar
  18. Hung, L.-Y. (2014). Description of Learning Disabilities Students Diagnosis Regulations. Taipei, Taiwan: Ministry of Education. Retrieved from http://iweb.ntnu.edu.tw/spe/identify2014/file/09.pdf (in Chinese).
  19. Hung, L.-Y., & Lian, W.-H. (2015). Basic mathematical core skill test. Taipei, Taiwan: Chinese Behavioral Science Corporation (in Chinese).Google Scholar
  20. Hung, L.-Y., Wang, C.-C., Chang, Y.-W., & Chen, H.-F. (2008). Development of assessment of Chinese character lists for graders. Psychological Testing, 55(3), 489–508 (in Chinese).Google Scholar
  21. Huntsinger, C. S., Jose, P. E., Liaw, F.-R., & Ching, W.-D. (1997). Cultural differences in early mathematics learning: A comparison of euro-American, Chinese-American, and Taiwan-Chinese families. International Journal of Behavioral Development, 21(2), 371–388.  https://doi.org/10.1080/016502597384929 CrossRefGoogle Scholar
  22. Imbo, I., & LeFevre, J. A. (2010). The role of phonological and visual working memory in complex arithmetic for Chinese- and Canadian-educated adults. Memory and Cognition, 38(2), 176–185.  https://doi.org/10.3758/mc.38.2.176 CrossRefGoogle Scholar
  23. Imbo, I., & LeFevre, J.-A. (2009). Cultural differences in complex addition: Efficient Chinese versus adaptive Belgians and Canadians. Journal of Experimental Psychology: Learning, Memory, and Cognition, 35(6), 1465–1476.  https://doi.org/10.1037/a0017022 CrossRefGoogle Scholar
  24. Iuculano, T., Rosenberg-Lee, M., Richardson, J., Tenison, C., Supekar, K., et al. (2015). Cognitive tutoring induces widespread neuroplasticity and remediates brain function in children with mathematical learning disabilities. Nature Communications, 6, 8453.  https://doi.org/10.1038/ncomms9453 CrossRefGoogle Scholar
  25. Jerrim, J. (2015). Why do east Asian children perform so well in PISA? An investigation of western-born children of east Asian descent. Oxford Review of Education, 41(3), 310–333.  https://doi.org/10.1080/03054985.2015.1028525 CrossRefGoogle Scholar
  26. Ko, H.-W. (1999a). Basic Arithmetic Skill Test. Taipei, Taiwan: Ministry of Education: Division of Special Education (in Chinese).Google Scholar
  27. Ko, H.-W. (1999b). Reading comprehension screening test. Psychological Testing, 46(2), 1–11 (in Chinese).Google Scholar
  28. Ko, H.-W. (2005). The diagnosis of arithmetic learning disabilities. Bulletin of Special Education, 29, 113–126 (in Chinese).Google Scholar
  29. Lee, J. R., & Hsieh, C.-E. (2016). Basic Arithmetic Skill Test – Revised. Retrieved from https://drive.google.com/file/d/0B0GaWSgkG5rYMFU1aTNoTXhzNzA/view (in Chinese).
  30. Leung, K. S. F. (2006). Mathematics education in East Asia and the west: Does culture matter? In F. K. S. Leung, K.-D. Graf, & F. J. Lopez-Real (Eds.), Mathematics education in different cultural traditions-a comparative study of East Asia and the west: The 13th ICMI study (pp. 21–46). Boston: Springer.CrossRefGoogle Scholar
  31. Miller, K. F., Smith, C. M., Zhu, J., & Zhang, H. (1995). Preschool origins of cross-national differences in mathematical competence: The role of number-naming systems. Psychological Science, 6(1), 56–60.  https://doi.org/10.1111/j.1467-9280.1995.tb00305.x CrossRefGoogle Scholar
  32. Ministry of Education (MOE). (2013). The disabilities and gifted students diagnosis criteria regulations. Taipei, Taiwan (in Chinese).Google Scholar
  33. Ministry of Education (MOE). (2015a). 2015 Yearbook of Teacher Education Statistics. Taipei, Taiwan: Ministry of Education (in Chinese).Google Scholar
  34. Ministry of Education (MOE). (2015b). Education Statistical Summary, No. 39. Taipei, Taiwan: Ministry of Education. Retrieved from http://stats.moe.gov.tw/files/brief/%E6%88%91%E5%9C%8B%E8%88%87%E4%B8%BB%E8%A6%81%E5%9C%8B%E5%AE%B6%E9%AB%98%E7%AD%89%E6%95%99%E8%82%B2%E7%B5%B1%E8%A8%88%E6%8C%87%E6%A8%99%E6%A6%82%E6%B3%81.pdf. (in Chinese).
  35. Ministry of Education (MOE). (2016). Annual statistics of special education. Retrieved from https://www.set.edu.tw/Stastic_WEB/sta2/frame_print.asp?filename=stuA_city_All_spckind_ABCE/stuA_city_All_spckind_ABCE_20161020.asp (in Chinese).
  36. Mullis, I. V. S., Martin, M. O., Foy, P., & Hooper, M. (2016). TIMSS 2015 International Results in Mathematics. Retrieved from http://timssandpirls.bc.edu/timss2015/international-results/
  37. Mullis, I. V. S., Martin, M. O., Foy, P., & Arora, A. (2012). TIMSS 2011 International Results in Mathematics. Retrieved from http://timssandpirls.bc.edu/timss2015/international-results/
  38. OECD. (2013a). Asian countries top OECD’s latest PISA survey on state of global education. Retrieved from http://www.oecd.org/education/asian-countries-top-oecd-s-latest-pisa-survey-on-state-of-global-education.htm
  39. OECD. (2013b). PISA 2012 results (Volume III): Ready to learn: Students' engagement, drive and self-beliefs. Retrieved from http://www.oecd.org/pisa/keyfindings/pisa-2012-results-volume-iii.htm
  40. OECD. (2016). PISA 2015 results (Volume I): Excellence and equity in education. Retrieved from http://www.oecd.org/publications/pisa-2015-results-volume-i-9789264266490-en.htm
  41. Paik, J. H., & Mix, K. S. (2003). U.S. and Korean children's comprehension of fraction names: A reexamination of cross-national differences. Child Development, 74(1), 144–154.CrossRefGoogle Scholar
  42. Passolunghi, M. C. (2011). Cognitive and emotional factors in children with mathematical learning disabilities. International Journal of Disability, Development and Education, 58(1), 61–73.  https://doi.org/10.1080/1034912X.2011.547351 CrossRefGoogle Scholar
  43. Phillipson, S., & Phillipson, S. N. (2007). Academic expectations, belief of ability, and involvement by parents as predictors of child achievement: A cross-cultural comparison. Educational Psychology, 27(3), 329–348.  https://doi.org/10.1080/01443410601104130 CrossRefGoogle Scholar
  44. Primary and Junior High School Act, § 2523. (1979). Retrieved from http://law.moj.gov.tw/Eng/LawClass/LawAll.aspx?PCode=H0070001
  45. Richland, L. E., Zur, O., & Holyoak, K. J. (2007). Cognitive supports for analogies in the mathematics classroom. Science, 316(5828), 1128–1129.  https://doi.org/10.1126/science.1142103 CrossRefGoogle Scholar
  46. Shalev, R. S. (2007). Prevalence of developmental dyscalculia. In D. B. Berch & M. M. M. Mozzocco (Eds.), The nature and origins of mathematical learning difficulties and disabilities (pp. 47–65). Baltimore: Brookes.Google Scholar
  47. Shalev, R. S., Manor, O., & Gross-Tsur, V. (2005). Developmental dyscalculia: A prospective six-year follow-up. Developmental Medicine and Child Neurology, 47(2), 121–125.CrossRefGoogle Scholar
  48. Shek, D. T. L., & Chan, L. K. (1999). Hong Kong Chinese parents' perceptions of the ideal child. The Journal of Psychology, 133(3), 291–302.  https://doi.org/10.1080/00223989909599742 CrossRefGoogle Scholar
  49. Siegler, R. S., Fazio, L. K., Bailey, D. H., & Zhou, X. (2013). Fractions: The new frontier for theories of numerical development. Trends in Cognitive Sciences, 17(1), 13–19.  https://doi.org/10.1016/j.tics.2012.11.004 CrossRefGoogle Scholar
  50. Tang, Y., Zhang, W., Chen, K., Feng, S., Ji, Y., Shen, J., et al. (2006). Arithmetic processing in the brain shaped by cultures. Proceedings of the National Academy of Sciences, 103(28), 10775–10780 doi: 0604416103 [pii]10.1073/ pnas.0604416103.CrossRefGoogle Scholar
  51. The Senior High School Education Act, § Hua-Zong-Yi-Zi-10200131151. (2013). Retrieved from http://edu.law.moe.gov.tw/EngLawContent.aspx?id=146
  52. The Special Education Act, § 6692 (1984). Retrieved from http://edu.law.moe.gov.tw/EngLawContent.aspx?Type=E&id=109
  53. Tzeng, S. J. (2007). Learning disabilities in Taiwan: A case of cultural constraints on the education of students with disabilities. Learning Disabilities Research & Practice, 22(3), 170–175.  https://doi.org/10.1111/j.1540-5826.2007.00243.x CrossRefGoogle Scholar
  54. Wei, L. M. (1991). The comparison of general anxiety, mathematics anxiety, and mathematics attitudes between junior-high and primary students. Journal of National Taichung Teachers College, 5, 129–154 (in Chinese).Google Scholar
  55. Zhou, Z., & Boehm, A. E. (2001). American and Chinese children’s knowledge of basic relational concepts. School Psychology International, 22(1), 5–21.  https://doi.org/10.1177/01430343010221001 CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Psychology and Research Center for Mind, Brain & LearningNational Chengchi UniversityTaipeiTaiwan
  2. 2.Department of Educational Psychology and CounselingNational Taiwan Normal UniversityTaipeiTaiwan

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