DOI QR코드

DOI QR Code

High-school students' understanding and use of mathematics textbooks

수학 교과서에 대한 고등학생의 인식 및 활용

  • Received : 2019.10.25
  • Accepted : 2019.11.22
  • Published : 2019.11.30

Abstract

The study aimed to investigate what high-school students recognize mathematics textbooks and how they use textbooks in their learning mathematics in and out-of mathematics classrooms. For this purpose, we developed a set of interview questions in order to unpack what high-school students thought about mathematics textbooks and how they intended to use the textbooks for their learning mathematics. Eleven high-school students participated in the interview; the interview lasted for about an hour for each student. The data from the interviews were analyzed. The findings from the data analysis suggested as follows: a) the students seemed to consider mathematics textbooks as crucial medium for a mathematics classroom material and thus, they were likely to obliged to use the textbooks for preparing for not only tests and examination conducted regularly in schools but college entrance examination conducted nationwide; b) however, the students appeared to use the textbooks in limited ways in which they looked into the textbooks to prepare for mid-term or final exam only, not for their understanding mathematical contents as a main resource; and c) the students seemed to realize that they rarely have had an opportunity to develop mathematical thinking capabilities and understand mathematical ideas conceptually through the mathematics textbooks.

학생들이 수학 교과서에 대해서 어떻게 생각하는지 또한 학습에서 어떻게 활용하는지에 대하여 알려진 바가 거의 없다. 이 연구에서는 고등학생들이 수학 교과서를 어떻게 인식하고 활용하는지를 탐색하고자 하였다. 인터뷰 질문지를 개발하여서 고등학생 11명을 대상으로 인터뷰를 실시하였다. 그 결과로, 다음 세 가지 측면을 발견하였다. 첫째, 학생들은 교과서를 수업에서 활용하는 자료로 인식하며 대학 입학시험을 준비하는 데 중요한 교재로 사용하는 것으로 나타났다. 둘째, 학생들은 교과서를 학교에서 시행하는 중간 또는 기말고사 등 정기고사 시험을 대비하는 데 있어서 필수로 사용하지만, 실질적인 학습에는 매우 한정하여서 활용하는 것으로 나타났다. 셋째, 학생들은 교과서를 통해서 기르고자 하는 수학적 사고능력이 무엇인지에 대하여서는 거의 파악하지 못하는 것으로 나타났다.

Keywords

References

  1. Ahn, S. & Kim, G. (2014). Exploring students' thinking in proof production in geometry. The Mathematical Education 53(3), 383-397. https://doi.org/10.7468/mathedu.2014.53.3.383
  2. Brown, M. W. (2009). The teacher-tool relationship: Theorizing the design and use of curriculum materials. In J. T. Remillard, B. A. Herbel-Eisenmann & G. M. Lloyd (Eds.), Mathematics teachers at work: Connecting curriculum materials and classroom instruction (pp. 17-36). Routledge: New York.
  3. Chazan, D. (2000). Beyond formulas in mathematics and teaching : Dynamics of the high school algebra classroom. New York: Teachers College Press.
  4. Collopy, R. (2003). Curriculum materials as a professional development tool: How a mathematics textbook affected two teachers' learning. Elementary School Journal 103, 287-311. https://doi.org/10.1086/499727
  5. Eisenmann, T., & Even, R. (2011). Enacted types of algebraic activity in different classes taught by the same teacher. International Journal of Science and Mathematics Education 9, 867-891. https://doi.org/10.1007/s10763-010-9241-4
  6. Grouws, D. A., Tarr, J. E., & Chavez, O. (2013). Curriculum and implementation effects on high school students' mathematics learning from curricula representing subject-specific and integrated content organizations. Journal for Research in Mathematics Education 44 (2), 416-463. https://doi.org/10.5951/jresematheduc.44.2.0416
  7. Haggarty, L. & Pepin, B. (2002). An investigation of mathematics textbooks and their use in English, French and German classrooms: Who gets an opportunity to learn what? British Educational Research Journal 28(4), 567-590. https://doi.org/10.1080/0141192022000005832
  8. Henningsen, M. & Stein, M. K. (1997). Mathematics tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning. Journal for Research in Mathematics Education 28, 524-549. https://doi.org/10.2307/749690
  9. Hill, H. C. & Charalambous, C. Y. (2012). Teacher knowledge, curriculum materials, and quality of instruction: Lessons learned and open issues. Journal of Curriculum Studies 44, 559-576. https://doi.org/10.1080/00220272.2012.716978
  10. Hong, C. J. & Kim, G. (2012). Functions in the middle school mathematics: The cognitive demand of the mathematical tasks. School Mathematics 14(2), 213-232.
  11. Kim, G. (2011). How teachers use mathematics curriculum materials in planning and implementing mathematics lessons. School Mathematics, 13(4), 485-500.
  12. Kim, M. (2013). Secondary mathematics teachers' use of mathematics textbooks and teacher's guide. School Mathematics 16(3), 503-531.
  13. Kim, W., Choi, S., & Kim, D. (2018). A discursive approach to analysis of definition of graph in first year middle school textbooks1. School Mathematics 32(3), 407-433.
  14. Kim, G. & Jeon, M. (2017a). Exploring mathematics teachers' pedagogical design capacity: How mathematics teachers plan and design their mathematics lessons.. The Mathematical Education, 56(4), 365-385. https://doi.org/10.7468/mathedu.2017.56.4.365
  15. Kim, G. & Jeon, M. (2017b). Exploring how middle-school mathematics textbooks on functions provide students an opportunity-to-learn. School Mathematics 19(2), 289-317.
  16. Kim, M. & Kim, G. (2013). An analysis of mathematical tasks in the high school mathematics. School Mathematics 15(1), 37-59.
  17. Kwon, J. & Kim, G. (2013). An analysis of mathematical tasks in the middle school geometry. The Mathematical Education 52(1), 111-128. https://doi.org/10.7468/mathedu.2013.52.1.111
  18. Lee, S. & Kim, G. (2019). How middle-school mathematics textbooks of Korea and the US support to develop students' statistical reasoning. The Mathematical Education 58(1), 139-160. https://doi.org/10.7468/MATHEDU.2019.58.1.139
  19. Lloyd, G. M. (2008). Teaching mathematics with a new curriculum: Changes to classroom organization and interactions. Mathematical Thinking and Learning 10, 163-195. https://doi.org/10.1080/10986060701854482
  20. Lloyd, G. M., Remillard, J. T., Herbel-Eisenmann, B. A. (2009). Teachers' use of curriculum materials: An emerging field. In J. T. Remillard, B. A. Herbel-Eisenmann, G. M. Lloyd (Eds.), Mathematical teachers at work: Connecting curriculum materials and classroom instruction(pp. 3-14). New York: Routledge.
  21. Ministry of Education (2015). The Curriculum of Mathematics. Vol. 8. The Ministry of Education.
  22. Ministry of Education & Human Resources Development (2007). The Revision of the Curriculum. Seoul: Author.
  23. National Council of Teachers of Mathematics (1989). An Agenda for Action: Curriculum and Evaluation Standards for School Mathematics. Reston, VA: NCTM.
  24. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
  25. National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: Author.
  26. National Research Council. (2001). Adding it up: Helping children learn mathematics. J. Kilpatrick, J. Swafford, & B. Findell (Eds.). Washington, DC: National Academy Press.
  27. Park, H. & Kim, G. (2018). Examining how elementary students understand fractions and operations. The Mathematical Education 57(4), 453-475. https://doi.org/10.7468/MATHEDU.2018.57.4.453
  28. Remillard, J. T. (1992). Teaching mathematics for understanding: A fifth-grade teacher's interpretation of policy. Elementary School Journal 93, 179-193. https://doi.org/10.1086/461721
  29. Remillard, J. T. (1999). Curriculum materials in mathematics education reform: A framework for examining teachers' curriculum development. Curriculum Inquiry 29, 315-342. https://doi.org/10.1111/0362-6784.00130
  30. Remillard, J. T. (2000). Can curriculum materials support teachers' learning? Two fourth-grade teachers' use of a new mathematics text. Elementary School Journal 100, 331-350. https://doi.org/10.1086/499645
  31. Remillard, J. T. (2005). Examining key concepts in research on teachers' use of mathematics curricula. Review of Educational Research 75, 211-246. https://doi.org/10.3102/00346543075002211
  32. Remillard, J. T., & Bryans, M. B. (2004). Teachers' orientations toward mathematics curriculum materials: implications for teacher learning. Journal for research in mathematics education 35(5) , 352-388. https://doi.org/10.2307/30034820
  33. Reys, B. J., Reys, R. E., & Chavez, O. (2004). Why mathematics textbooks matter. Educational Leadership 61(5), 61-66.
  34. Reys, R. E. & Reys, B. J., Lapan, R. Holliday, G., & Wasman, D. (2003). Assessing the impact of standards-based middle grades mathematics curriculum materials on student achievement. Journal for Research in Mathematics Education 34. 74-95. https://doi.org/10.2307/30034700
  35. Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classroom. American Educational Research Journal 33, 455-488. https://doi.org/10.3102/00028312033002455
  36. Stein, M. K., Remillard, J. T., & Smith, M. S. (2007). How curriculum influences student learning. In F. K. Lester (Ed), Second handbook of research on mathematics teaching and learning, 319-370. Charlotte, NC: Information Age.
  37. Smith, M. S. & Stein. M. K. (1998). Selecting and creating mathematical: from research to practice. Mathematics Teaching in the Middle School 3, 344-350. https://doi.org/10.5951/MTMS.3.5.0344
  38. Hubert, T. L. (2013). Learners of mathematics: High school students' perspectives of culturally relevant mathematics pedagogy. Journal of African American Studies 18(3), 324-336. https://doi.org/10.1080/13629387.2013.767041
  39. Wijaya, A. & van den Heuvel-Panhuizen, M. & Doorman, M. (2015). Opportunity-to-learn context-based tasks provided by mathematics textbook. Educational Studies in Mathematics, 89, 41-65. https://doi.org/10.1007/s10649-015-9595-1