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국내 수학교육의 수학적 신념 연구에 관한 체계적 분석
Systematic review on the research of mathematical beliefs in Korean mathematical education 원문보기

Journal of the Korean Society of Mathematical Education. Series A. The Mathematical Education, v.59 no.4, 2020년, pp.331 - 355  

이선영 (신일중학교) ,  한선영 (성균관대학교)

초록

본 연구의 목적은 수학적 신념에 관한 기존 연구 결과를 체계적으로 분석하여 가치 있는 결과들을 비교 및 종합하고 이로부터 수학적 신념에 관한 후속 연구의 시사점을 얻는 것이다. 선정된 논문 58편의 방법론적 질을 MQA(Methodological Quality Assessment) 체크리스트를 이용하여 확인한 결과, 설문지를 이용하여 수학적 신념을 조사했거나 예비교사를 대상으로 한 연구가 많았다. 연구 결과를 분석한 결과, 수학적 신념의 개념적 특징과 대상별 특징, 수학적 신념의 교육적 영향력으로 나누어 그 의미를 확인했다. 수학적 신념은 교사와 학생, 수학 수업의 실천에서 중요한 교육적 영향력을 가지고 있었다. 연구 결과는 교사가 학생의 사고에 주목하여 적절한 교육적 지원을 제공하지 못하는 문제를 해결하기 위해 학생과 교사의 신념을 변화시키는 것이 중요함을 강조하며, 학생의 수학적 사고에 초점을 둔 수업 실천을 위한 지원이 필요함을 보여준다.

Abstract AI-Helper 아이콘AI-Helper

The purpose of this study is to systematically analyze the results of the existing research on mathematical beliefs, compare and synthesize the valuable results and to suggest implications for mathematical beliefs and research. As a result of checking the methodological quality of 59 articles in tot...

주제어

표/그림 (13)

참고문헌 (95)

  1. An, K. J. & Lee, K. H. (2001). Elementary teacher's beliefs and attitudes on mathematics and their teaching practices. Journal of Elementary Mathematics Education in Korea, 5, 121-142. 

  2. An, J. S. (2013). Impact of academic achievement and mathematical beliefs through instruction using concepts learning hand-out. Journal of the Korean School Mathematics Society, 16(3), 519-538. 

  3. Bandura, A. (1997). Self efficacy: The exercise of control. NY: Cambridge University Press. 

  4. Bandura, A. (2006). Guide for constructing self-efficacy scales, In F. Pajares & T. Urdan (Eds), Self-efficacy beliefs of adolescents(pp. 307-337). Information Age Publishing. 

  5. Beswick, K. (2011). Teachers' beliefs about school mathematics and mathematicians' mathematics and their relationship to practice. Educ Stud Math, 79, 127-147 

  6. Bray, W. S. (2011). A collective case study of the influence of teachers' beliefs and knowledge on error-handling practices during class discussion of mathematics. Journal for research in mathematics education, 42(1), 2-38. 

  7. Cho, Y. M. & Song, S. H. (2013). Analysis on the sociomathematical norms in math gifted classroom according to the teacher's beliefs. Journal of Educational Research in Mathematics, 23(3), 373-389. 

  8. Choi, S. H. & Kim, D. J. (2017). Effects of a communication approach to teacher education on cognitive changes in mathematical beliefs. Korean Journal of Teacher Education, 33(4), 25-50. 

  9. Choi, E. J. & Park, M. G. (2016). The influence of the integrated career education program in mathematics on elementary school students' mathematics-related career choice and mathematical beliefs. Studies in Mathematical Education, 3, 147-149. 

  10. Choi-Koh, S. S., Kim. E. H., Moon, J. Y., Bae, J. E. & Jeong, D. J. (2011). A study on the relarionship between pedagogical content knowledge(PCK) and Pre-service mathematics teacher's beliefs. Journal of research in curriculum instruction, 15(4), 829-856. 

  11. Choy, B. H. (2014). Teachers' productive mathematical noticing during lesson prepararion. Proceedings of the joint meeting of PME 38 and PME-NA, 36(2), 297-304. 

  12. Chung, C. H. (2001). The relationship between teachers' mathematics teaching-efficacy and children's mathematical thinking skills. The Journal of Korea Open Association for Early Childhood Education, 6(3), 97-116. 

  13. Cooney, T. J. (1985). A beginning teachers' view of problem solving. Journal for research in Mathematics Education, 16(5), 324-336. 

  14. Creswell, J. W. (2015). Qualitative inquiry and research design.: choosing among five approaches (3rd edition). Thousand Oaks, CA: Sage. 

  15. Ernest, P. (1989). The knowledge, belief and attitudes of the mathematics teacher: A model. Journal of Educational for teaching, 15(1), 13-33. 

  16. Ernest, P. (1991). The philosophy of mathematics education, London: Routledge. 

  17. Goodwin, W. L., & Goodwin, L. D. (1996). Understanding quantitative and qualitative research in early childhood education. New York: Teachers College Press. 

  18. Ha. E. O. & Huh, W. J. (2006). The effects of portfolio applied early math education on preservice early childhood teachers' math beliefs and teaching efficiency. The Journal of Korea Open Association for Early Childhood Education, 11(4), 381-404. 

  19. Han, J. H. (2010). Pre-service and In-service early childhood teachers' beliefs about the nature of mathematics. Early Childhood Education Research & Review, 14(6), 337-358. 

  20. Han, J. H. (2013). Relationships among early childhood teachers' beliefs about mathematics attitudes toward mathematics and mathematics teaching efficacy. Early Childhood Education Research & Review, 17(5), 421-439. 

  21. Han, K. H., Kang, S. J. & Jung, I. C. (2005). The effect of the social norms of mathematics classroom on mathematics beliefs. Journal of the Korean school Mathematics Society, 8(3), 343-356. 

  22. Han, S. Y. (2015). Inductive analysis approach on middle grade mathematics pre-service teachers' teaching philosophies. Journal of Educational Research in Mathematics, 25(4), 599-615. 

  23. Hatch, K. A. (2008). Doing qualitative research in education setting. NY: State University of New York Press. 

  24. Herbst, P. & Chazan, D. (2012). On the instructional triangle and sources of justification for actions in mathematics teaching. ZDM Mathematics Education, 44, 501-512. 

  25. Hwang, S. W. (2018). Teachers' beliefs, classroom norms and discourse, and equity in mathematics classrooms. Education of Primary School Mathematics, 21(2), 163-192. 

  26. Jang, I. O. (2004). Elementary school teachers' beliefs about mathematics and teaching practices. The Journal of Elementary Education, 5, 55-76. 

  27. Jang, I. O. & Jeon, P. G. (2001). A case study on elementary school teachers' beliefs about mahtematics nad teaching practice. Communication of Mathematical Education, 11, 85-105. 

  28. Jeong, S. B. & Choi, S. H. (2018). Relationship between mathematical belief and mathematical achievement according to personality types. Journal of Learner-Centered Curriculum and Instruction, 18(1), 656-673. 

  29. Jin, G. A., Nam, M. U., Kim. H. M., Park, J. H., Kim, S. J. & Sim, J. H. (2018). Investigation of the application of 2015 revised national curriculum(middle & high school): focused on the diversification of instruction and learning methods. Ministry of Education, Retrieved from http://www.prism.go.kr 

  30. Joe, J. S. (2001). Ethnography for the study of mathematical teachers' beliefs and classroom norms. Communication of Mathematical Education, 12, 349-361. 

  31. Joe, J. S. (2002). Pre-service mathematics teachers' beliefs about teaching and learning in mathematics. Communication of Mathematical Education, 12, 349-361. 

  32. Joung, S. K. & Son, W. K. (2016). Qualitative meta-synthesis of the elements and process of teacher identity building. Journal of Parent Education, 8(3), 181-202. 

  33. Ju, M. K. (2010). Mathematics as engaged practice: professional mathematicians' conceptions of mathematics. Journal of Educational Research in Mathematics, 20(4), 477-491. 

  34. Ju, M. K. & Kim, R. Y. (2016). A case study of ABCD-based yougbokhap teacher education: analyzing its impact on pre-service teachers' beliefs about mathematics teaching and learning. Journal of Learner-Centered Curriculum and Instruction, 16(1), 1281-1309. 

  35. Ju, M. K., Jang, M. J., Moon, J. E., Park, M. Y. & Jung, S. Y. (2016). Change in preservive teachers' beliefs about mathematics teaching in the context of ABCD based Yungbokhap teacher education: an analysis of preservice teachers' evaluation of microteaching. Journal of Learner-Centered Curriculum and Instruction, 16(11), 1083-1114. 

  36. Kang, O. K. & Han S. I. (2007). An analytic study of beliefs in mathematics and mathematics education. Journal of Educational Research in Mathematics, 17(4), 381-393. 

  37. Kang, E. K. (2017). Mediation Effects of the Epistemological Belief of Mathematics between Mathematical Knowledge and Belief of Learning Mathematics. Journal of Learner-Centered Curriculum and Instruction, 17(6), 475-492. 

  38. Kim, B. M. (2012). Instructional development and analysis of secondary students' mathematical beliefs. Journal of Educational Research in Mathematics, 22(2), 229-259. 

  39. Kim, B. M. & Kim, I. S. (2011). An analysis of some interactive aspects of 12th grade students' mathematical beliefs and their effect on understanding and mathematical achievement. Journal of research in curriculum instruction, 15(3), 777-806. 

  40. Kim, D. Y. & Kim, G. Y. (2014). Secondary mathematics teachers' understanding and modification of mathematical tasks in textbooks. School Mathematics, 16(3), 445-469. 

  41. Kim, D. Y. & Kim, H. C. (2013). Analysis oin the relationship between the 3rd grade middle school students' belief about understanding and academic achievement mathematical concepts, mathematical procedures. Communications of mathematical education, 27(4), 499-521. 

  42. Kim, G. Y. (2009). An experienced teachier's representations of beliefs and knowledge in mathematics instruction. School Mathematics. 11(3), 335-349. 

  43. Kim, G. Y. (2010). Exploring beliefs and stated-actions of a preservice mathematics teacher. School Mathematics, 12(2), 97-111. 

  44. Kim, R. N. (2015). A study of elementary teachers' beliefs about teaching mathematics. School Mathematics, 17(4), 593-611. 

  45. Kim, M. J. (2014). The effect of mathematics curriculum focused on everyday-life-materials on pre-service early childhood teachers' mathematical beliefs and mathematics teaching efficiency. Korean Journal of Child Care and Education Policy, 8(2), 1-23. 

  46. Kim, S. H. (2016). The effects of the blended case-based learning on cognitive problem-solving and social problem-solving. Journal of Learner-Centered Curriculum and Instruction, 16(2), 963-985. 

  47. Kim, S. S. & Choi-Koh, S. S. (2015). A study about the practices of teachers who changed the subject to mathematics based on their belief. Communications of Mathematical Education, 29(3), 373-389. 

  48. Kim, Y. M. (2014). Mathematical beliefs system and mathematical problem solving activity: a case study. Journal of research in curriculum instruction, 28(3), 353-366. 

  49. Kim, Y. M. (2016). Study on mathematical belief about liberal art subject of mathematics. East Asian Math. J, 32(1), 175-192. 

  50. Kim, Y. M. (2017). An analytical study on mahtematical beliefs about proof among college freshmen-In view of link between school mathematics and college mathematics. Journal of Learner-Centered Curriculum and Instruction, 17(11). 737-756. 

  51. Kim, Y. M. & Ryu, H. A. (2018). An analytical study on the mathematical belief of the elementary school teachers. Journal of Educational Research in Mathematics, 28(1), 141-157. 

  52. Kim, Y. M. & Lee, C. H. (2014). Analysing high school students' mathematical belief system and core belief factors. School Mathematics, 16(1), 111-133. 

  53. Kim, J. Y. (2010). The early childhood teachers' beliefs about mathematics education. The Journal of Child Education, 19(1), 53-65. 

  54. Koo, S. H. & Lee, J. S. (2017). Analysis of the types and effectiveness of the brand personification: focusing on qualitative meta-analysis on Korean literature. Advertising Research, 115, 192-217. 

  55. Lee, C. J. (2016). The effect of mathematical education for early years using Kolb's experiential learning theory on the pre-service early childhood teachers' mathematical belief, knowledge and attitude. Early Childhood Education & Care, 11(4), 35-58. 

  56. Lee, D. G. (2019). A study on the high school teachers' perceptions and experiences of mathematics curriculum reconstruction. The Mathematical Education, 58(4), 567-588. 

  57. Lee, D. H. (2013). Analysis on the beliefs about mathematics teaching of elementary preservice teachers and mathematics teachers. School Mathematics, 15(1). 201-219. 

  58. Lee, Y. H., Kwon, J. K. & Lee, B. J. (2013). Changes in teacher efficacy beliefs in mathematics of elementary pre-service teachers during student teaching. Journal of Educational Research in Mathematics, 23(4), 407-422. 

  59. Lee, E. S. & Cho, J. S. (2015). A study on mathematics teachers' beliefs about their use technology experience: focused group interviews. The Mathematical Education, 54(2), 99-117. 

  60. Lee, E. Y. & Jeon, Y. Y. (2013). Early childhood pre-service teachers' beliefs on teacher roles through metaphors. Early Childhood Education Research & Review, 17(6), 379-400. 

  61. Lee, J. H. & Choi, J. H. (2013). The effects of secondary pre-service math teacher' belief for 'studies in mathematics education' instruction. East Asian Mathematical Journal, 29(2), 169-187. 

  62. Lee, J. H. (2003). Early childhood teachers' beliefs about mathematics education for young children. Korean Journal of Early Childhood Education, 23(4), 207-226. 

  63. Lee, K. H. (2008). The middle grade teachers' beliefs about teaching problem solving. Journal of the Korean School Mathematics Society, 10(3), 385-400. 

  64. Lee, J. S. (2017). Qualitative meta-analysis about the change of adolescences in the process of returning from the school dropout. Journal of the korea contents association, 17(12), 386-398. 

  65. Lester, F. K, Jr.(2013). Thoughts about research on mathematical problem-solving instruction. The Mathematics Enthusiast, 10(1), 245-278. 

  66. Lim, S. R. & Lee, S. Y. (2018). A systematic review on role conflicts of medical service workers. Journal of Convergence for Information Technology, 8(5), 1-10. 

  67. McLeod, D. B. (1992). Research on affect in mathematics education: a reconceptualization. In D. A. Grouws(Ed). Handbook of research on mathematics learning nad teaching (pp. 575-596). New York: MacMiilan. 

  68. Ministry of Education (2015). Mathematics curriculum. Retrieved from http://www.edunet.net/nedu/ncicsvc/listSub2015Form.do?menu_id623 

  69. National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: Author. 

  70. National Research Council. (2001). Adding it up: Helping children learn mathematics. Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press. 

  71. Nobilt, G. & Hare, R., (1988). Meta-Ethnography: Synthesizing qualitative studies. Newbury Park, CA:Sage. 

  72. Oh, B. S. & Kwon, N. Y. (2013). A case study on the beliefs of pre-service teachers and their choice of curriculum materials. The Journal of Curriculum and instruction Studies, 6(2), 1-23. 

  73. Oh, Y. Y. (2002). Teachers' mathematical beliefs and teaching practices. Journal of Educational Research in Mathematics, 12(2), 247-263. 

  74. Oh, Y. Y. (2003). Understanding and predicting elementary teachers' intention to change in matheamtics instruction. Journal of Educational Research in Mathematics, 13(3), 267-286. 

  75. Pang, J. S., Sun, W, J., Cho, S. M., Lee, Y. J., Kim, E. K., Kim, Y. Y., ..., Lee, H. N. (2019). Domestic research trends of mathematics education: an analysis of journals published from 1963 to 2019. Journal of Educational Research in Mathematics, 29(4), 709-739. 

  76. Park, B. H., Park, G. H. & Hwang, J. S. (2007). Effects of beliefs toward mathematics on academic achievement. The Journal of Child Education, 16(3), 23-34. 

  77. Park, B. H. & Hwang, J. S. (2006). Study and comparison: beliefs nad achievement toward mathematics of middle school students in Korea and America. The Journal of Child Education, 15(3), 23-32. 

  78. Park, S. S. (2013). A study on elementary gifted children's mathematical belief. The Korean society for the gifted, 23(6), 947-963. 

  79. Park, Y. K., Jung. S. J. & Kim, B. S. (2015). A survey of elementary school teachers' perceptions of curriculum nad curriculum adaptation. The Journal of Elementary Education, 28(4), 117-143. 

  80. Raymond, A. M. (1997). Inconsistency between a beginning elementary school teachers' mathematical beliefs and teaching practice. Journal for research in Mathematics Education, 28(5), 550-576. 

  81. Rim, H. K., Choo, S. H. & Kim, J. E. (2010). The consideration of elementary teachers' beliefs on mathematics. Journal of Elementary Mathematics Education in Korea, 14(1), 103-121. 

  82. Rogers, C. R. (1951). Society and the adolescent self-image. Princeton. NJ: Princeton University Press. 

  83. Sanderson, S., Tatt, I. D., & Higgins J. PT. (2007). Tools for assessing quality and susceptibility to bias in observational studies in epidemiology: a systematic review and annotated bibliography. International journal of epidemiology, 36, 666-676. 

  84. Seo, K. S. (2002). Influence of a mathematical philosophy course on preservice elementary teachers' mathematica beliefs. Journal of Elementary Mathematics Education in Korea, 6, 1-21. 

  85. Seo, K. S. & Ahn, J. S. (2003). The inquiry of change of mathematical beliefs and attitude in elementary cooperative learning class. School Mathematics, 5(4), 541-553. 

  86. Seo, J. J., Ryoo, C. S. & Choi, E. M. (2006). The effect of learning and ablility-focused inclination oin the mathematical belief, attitude and knowledge. Secondary Education Research, 54(1), 167-183. 

  87. Shoenfeld, A. H. (1983). Beyond the purely cognitive:belief systems, social cognitions, and metacognitions as driving forces in intellectual performance. Cognitives science, 7. 329-363. 

  88. Shoenfeld, A. H. (1989). Explorations of students' mathematical beliefs and behavior. Journal for research in Mathematical Education, 20(4). 338-355. 

  89. Smith, M. E., Swars, S. L., Smith, S. Z., Hart, L. C., & Haardorfer, R. (2012). Effects of an additional mathematics content course on elementary teachers' mathematical beliefs and knoweldge for teaching. Action in teacher education, 34(4), 336-348. 

  90. Swars, S. L., Smith, S. Z., Smith, M. E., & Hart, L. C. (2007). A longitudinal study of elementary pre-service teachers' mathematics pedagogical and teaching efficacy beliefs. School science and mathematics, 107(8), 325-335. 

  91. Tacconelli, E. (2009). Systematics reviews: CRD's guidance for undertaking reviews in health care. New York:Centre for Reviews and Dissemination. 

  92. Thompson, A. G. (1984). The relationship of teachers' conceptions of mathematics teaching to instructional practice. Educational Studies in Mathematics, 15, 105-127. 

  93. Yang, E. Y. & Hwang. U. Y. (2005). Relationships between mathematical learning styles and the selection of mathematical problem solving strategies: focused on the 1st grade high school students. The Mathematical Education, 44(4), 565-586. 

  94. Yi, G. H., Lee, J. H. & Choi, Y. G. (2016). A Study on the Application of Perry's Epistemological Development Scheme in Mathematics Education, Journal of Educational Research in Mathematics, 26(4), 683-700. 

  95. Yoo, S. H. & Kim, J. H. (2017). The effect of early childhood teacher's mathematical attitude, pedagogical content knowledge in matheamtics, and constructivist belief on their mathematics teaching efficacy. The Journal of Child Education, 26(4), 257-276. 

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