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A Case Study on Lessons for Counting, Addition and Subtraction of Natural Number with Counting Board for Students with Autism Spectrum Disorder

수판을 이용한 자폐성 장애 학생의 수세기와 덧셈, 뺄셈의 지도 사례

  • Received : 2018.09.16
  • Accepted : 2018.10.18
  • Published : 2018.10.31

Abstract

The purpose of this study was to get reflections on teaching numbers and operations for special education from analyzing lessons for counting, addition and subtraction of natural number with counting board for students with autism. In order to attain these purposes, this study analyzed the lessons for counting, addition and subtraction of natural number to students with autism in 4th and 6th graders in special class at regular elementary school using counting board for one hour per week for 30 weeks. According to the analysis, counting board that reveals the structure of numbers becomes an effective mathematical materials, and using the counting strategy and computation strategy can be an effective method of teaching, and it is possible to teach mathematical communication to students with autism. From this result, this study presented suggestions for teaching counting, addition and subtraction for students with disabilities.

본 연구는 자폐성 장애 학생들의 수판을 이용한 자연수의 수세기, 덧셈, 뺄셈의 지도 사례에 대한 분석을 바탕으로 장애 학생의 수와 연산 지도에 관한 시사점을 제공하고자 하였다. 이를 위해 일반학교의 특수학급에서 통합교육을 받는 4학년, 6학년의 자폐성 장애 학생을 대상으로 주당 1시간씩 30주간 수판을 사용하여 수세기, 덧셈, 뺄셈에 관한 수업을 실시하고 이를 분석하였다. 분석 결과를 바탕으로 다음과 같은 결론을 제시하였다. 자폐성 장애 학생들을 위한 수세기, 덧셈, 뺄셈의 지도에서 수의 구조가 드러나는 수판은 효과적인 교구이며, 수세기 전략과 연산 전략을 지도하는 것은 효율적인 지도 방안이 될 수 있고, 수학적 의사소통을 지도하는 것이 가능하다. 이러한 결과를 바탕으로 장애 학생의 수학 지도에 관한 시사점을 제시하였다.

Keywords

References

  1. Ministry of Education (2015). Special education curriculum. A notice from the Ministry of Education No. 2015-211.
  2. Ministry of Education (2016). 3-4th elementary mathematics. Seoul: Miraen Co.
  3. Ministry of Education (2016). 5-6th elementary mathematics. Seoul: Miraen Co.
  4. Ministry of Education (2017). A mathematics handbook for teachers 1-1. Seoul: Chunjae Co. received from http://www.moe.go.kr/
  5. Ministry of Education (2018b). The 5th year plan for special education development. received from http://www.moe.go.kr/
  6. Ministry of Education (2018b). A numerical statement of special education. Retrieved from http://www.moe.go.kr/
  7. National Institute of Special Education (2009). The dictionary of special education. Seoul: Hawoo.
  8. Kwon, S. H. (2013). The study on the textbook structure and the basic curriculum for 'numbers and calculation'. The Journal of Special Children Education, 15(2), 267-283.
  9. Kim, D. Y., Lee, G. M., Lee, C. S., & Kobayashi, S. (1996). Teaching the language of autistic children, Daegu: Donghwa.
  10. Kim, B. R. (2016) Examine the features of evidence based instruction in elementary mathematics teacher's guidebook for students with math learning disabilities and students with under achievement - only about number and operations, The Korea Society of Elementary Mathematics Education, 20(2), 353-370.
  11. Kim, S. N. (2011). The mathematical abilities of autistic children. master thesis, University of Dankook.
  12. Noh, S. L. & Kim, E. K. (2011). Effects of schema-based direct instruction on the word problem-solving of a student with autistic spectrum disorder. Journal of Emotional & Behavioral Disorders, 27(4), 359-388.
  13. Park, S. H. (2013). The effect of the touchmath strategy compared to a number line strategy to addition and subtraction computation per formance of intellectual disabilities. The Journal of Special Education, 12(3), 225-241.
  14. Park, J. K., Son, S. H., Kim, Y. M., Kim, H. R., & Jang, C. H. (2008). Math teaching implementation and teachers' perception of basic curriculum in special education school for students with mental retardation. The Journal of Special Children Education, 10(2), 203-226. https://doi.org/10.21075/kacsn.2008.10.2.203
  15. Park, H. S. (2002). A comparative study of abacus teaching approaches for students with blindness in Korea, Japan, and the United States. master thesis, University of Gongju.
  16. Bae, Y. J. (2017). An effect on addition and subtraction ability of elementary classes applying abacus calculation principle. master thesis, Gwangju National University of Education.
  17. Seo, E.-J., Kim, E.-K., & Noh, S.-L. (2016). Effect of schema-based strategy on the math problem-solving performance of students autism spectrum disorders. The Journal of Special Children Education, 18(3), 243-268. https://doi.org/10.21075/kacsn.2016.18.3.243
  18. Sung, J. S. (2008). A study on the applied learning of the newly conceptualized abacus calculation. master thesis, Hanguk University of Foreign Studies.
  19. Yang, Y., Lee, S.-H., & Seo, M.-K. (2017). Review of research trends on virtual reality-based intervention for students with autism spectrum disorders and intervention characteristics, The Korea Contents Society, 17(2), 623-636.
  20. Yoon, J.-Y., Kwon, M.-J., & Kim, S.-H. (2014). Meta-analysis of mathematics intervention for student academic failure and those with mild disabilities. The Korea Journal of Learning Disabilities, 11(3), 1-21.
  21. Lee, D.-S. (2016). Principles and elements of teaching school subjects to exceptional children. Korean Journal of Special Education, 41(2), 95-119.
  22. Lee, M. S. & Geon, B. H. (2012). The analysis of the reality and improvement of teaching mathematics in elementary special schools and special classes. The Journal of Special Children Education, 14(2), 311-338. https://doi.org/10.21075/kacsn.2012.14.2.311
  23. Lee, J.-H. & Kim, E.-K. (2013). A research synthesis of intervention studies incorporating the interests of children with autism spectrum disorders, Korean Association for Persons with Autism, 13(2), 41-63.
  24. Lee, J. Y., Son, S. H., Seo, Y. J., & Moon, J. Y. (2011). Analysis on the quality of elementary mathematics intervention studies for the establishment of evidence-based mathematics intervention, The Journal of Special Children Education, 13(1), 291-321. https://doi.org/10.21075/kacsn.2011.13.1.291
  25. Lee, H. J. (2008). School education for students with autism spectrum disorders. 2008 AIK Autumn Conference (pp. 39-57). Seoul: the Korean Association for Pearson with Autism.
  26. Lee, H. J. (2010). Instructional strategies to teach academic skills in content areas for students with autism spectrum disorders. Journal of emotional & behavioral disorders. 26(1), 247-279.
  27. Lim, D. C. (2002). The effect of the abacus calculation on mathematics ability improvement in mentally retarded children. mater thesis, University of Taegu.
  28. Jeon, Y. H. & Chang, K. Y. (2013). Effects of instructional intervention on ID or underachiever students' problem solving in mathematical word problems : A meta-analysis. Korean Journal of Special Education, 47(4), 139-163.
  29. Jung, S. H. & Lee, S. H. (2006). Effective instructional strategies for students with autism spectrum disorders in inclusive classroom. Special education research, 5(1), 91-111. https://doi.org/10.18541/ser.2006.04.5.1.91
  30. Jung, H. S. (2005). Effect of learning using the abacus calculation on the addition and subtraction, manner in mathematics for underachiever. University of Dankook.
  31. Choi, H. S. (2015). A study on instructional methods for students with autism disorder in school: Focusing on intervention of reading, writing, mathematics. Journal of special education subject education, 8(3), 77-110.
  32. Ha, J. S. & Park, J. H. (2013). The effect on the mathematical word problem solving ability of students as at risk for mathematics disability only, at risk for both reading and mathematics disabilities, or not at risk using a direct instruction and keyword strategy. The Journal of Special Children Education, 15(3), 23-44.
  33. Carpenter, T. P. & Moser, J. M. (1984). The acquisition of addition and subtraction concepts in grades one through three. Journal for research in Mathematics Education, 15(3), 179-202. https://doi.org/10.2307/748348
  34. Cihak, D. F. & Grim, J. (2008). Teaching students with autism spectrum disorder and moderate intellectual disabilities to use counting-on strategies to enhance independent purchasing skills. Research in Autism Spectrum Disorders, 2(4), 716-727. https://doi.org/10.1016/j.rasd.2008.02.006
  35. Fuchs, L. S., Fuchs, D., Finelli, R., Courey, S. J., & Hamlett, C. L. (2004). Expanding schema-based transfer instruction to help third graders solve real-life mechanical problems. American Educational Research Journal, 41(3), 419-445. https://doi.org/10.3102/00028312041002419
  36. Hart, J. E. & Whalon, K. J. (2008). Promote academic engagement and communication of students with autism spectrum disorder in inclusive settings. Intervention in School and Clinic, 44(2), 116-120. https://doi.org/10.1177/1053451207310346
  37. Hurtb, J., Shaw, E., Izeman, S. G., Whaley, K., & Rogers, S. J. (1999). Areas of agreement about effective practices among programs serving young children with autism spectrum disorders. Infants & Young Children, 12(2), 17-26. https://doi.org/10.1097/00001163-199910000-00003
  38. Miller, K. F. & Stigler, J. W. (1991). Meanings of skill: Effects of abacus expertise on number representation. Cognition and Instruction, 8(1), 29-67. https://doi.org/10.1207/s1532690xci0801_2
  39. Rao, S. M. & Gagie, B. (2006). Learning through seeing and doing. Teaching Exceptional Children, 38(6), 26-33.