Communications of Mathematical Education (한국수학교육학회지시리즈E:수학교육논문집)

Korean Society of Mathematical Education (한국수학교육학회)
권호 표지
DOI QR코드

DOI QR Code

A Study on the Development of Instruction Model on Project inquiry and Materials for the New Subject of 'Mathematical Task Inquiry' in the curriculum revised in 2015

2015 개정 <수학과제 탐구> 신설 과목 운영을 위한 과제 탐구의 수업 모형 및 자료 개발 연구

  • Received : 2018.06.09
  • Accepted : 2018.06.29
  • Published : 2018.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

The subject of 'Mathematical Task Inquiry' was introduced newly in the curriculum revised in 2015. The subject is dealt with after completing the subject of 'mathematics' to be dealt with in the tenth grade. Its main content is comprised of the understanding and learning of the purpose and procedure of inquiry task and of study ethics, and its educational goal is to enforce the prior mathematical knowledge and to obtain the ability to select interesting topics that combine mathematics with other subjects. However the textbook of the subject does not exist, and teachers should handle with the subject with responsibility for their own ways. Because of this reason, this study is to develop an instruction model on project(task) inquiry model and materials. Namely, according to the model, students is guided to select and decide the subject of the task, and develop the task for themselves, solve it with peers in cooperation, and announce the solution and their feelings. During those students' exploration and activities, the role of teachers is to guide students to complete their work. By the way, in order to develop more creative tasks that is appropriate to their academic and cognitive level, this study conducted the experimentation for the subject of 9 students (6 girls and 3 boys), who are scheduled to advance to the 11 grade of J high school located in G domestic. The experimentation was consisted of three class and after the third class, the semi-structured interview was conducted immediately for the students.

2015 개정 교육과정에 새롭게 도입된 <수학과제 탐구> 과목은 고등학교 1학년에서 다뤄지는 <수학> 과목을 이수한 후 수학 과제 탐구의 목적과 절차 및 연구 윤리를 학습하고, 이를 토대로 이전에 학습한 수학 내용을 더 깊이 탐구하거나 다른 교과와 수학을 융합한 흥미로운 주제를 선택하여 탐구하는 과목이다. 하지만, 이 신설 과목은 이례적으로 다른 여타 교과목과는 달리, 교과용 도서가 개발되지 않기 때문에 이 과목의 수업 진행은 온전히 담당 교사의 몫이 된다. 따라서 교육과정 성취기준을 토대로 효율적인 수업 방법이 이뤄지도록 <수학과제 탐구> 과목 운영에 대한 관심과 노력이 필요할 때이다. 본 연구에서는 2015 개정에 따른 수학과 교육과정에 새롭게 도입된 <수학과제 탐구> 과목의 교육 목적인 주제 선정 및 과제 탐구를 달성하기 위하여 성취기준에 부합하는 과제 탐구 수업모형을 개발하고 이에 근거하여 구체적인 수학적 탐구 과제를 개발하여 제시하고자 한다. 이때, 학생들의 학업 및 인지 수준에 보다 적합하고 독창적인 과제 개발을 위하여 실험수업을 실시하여 학생들의 의견을 수렴하고자 한다. 이러한 실험적용은 G 지역에 위치한 J 고등학교 2학년에 진학 예정인 9명을 대상으로 3차시의 수업으로 진행하며, 3차시 수업 직후에는 학생들을 대상으로 반 구조화된 면담을 실시한다.

Keywords

References

  1. Kwon. J. H. & Kim, J. Y.(2013). An analysis of mathematical tasks in the middle school geometry, J . Korean Soc. Math. Ed. Ser. A: The Mathematical Education, 52(1), 111-128.
  2. Ministry of Education(2015). Curriculum of Mathematics Department. Sejong: Ministry of Education.
  3. Kim, G. S.(2014). A Study on the Policy Direction for Establishing Research Ethics, Journal of Digital Convergence, 12(9), 35-45. https://doi.org/10.14400/JDC.2014.12.9.35
  4. Kim, D. J., Bae, S. C., Kim, W., Lee, D. H. & Cho, S. H.(2015). Analysis of mathematical tasks provided by storytelling mathematics textbooks, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education, 29(3), 281-300.
  5. Kim, M. S.(2013). Research Ethics and Learning Ethics. Goyang: Yeonamseoga.
  6. Kim, M. S. & Jeong, B. J. (2013). Learning Ethics. Research Ethics and Learning Ethics. Goyang: Yeonamseoga.
  7. Kim, S. H. & Pang, J. S.(2005). An Analysis of Cognitive Demands of Tasks in Elementary Mathematical Instruction: Focusing on 'Ratio and Proportion', Journal of Educational Research in Mathematics, 15(3), 251-272.
  8. Park, S. S.(2011). The Effects of Inquiry Oriented Instruction on the Learning of Area Formulas, J. Korean Soc. Math. Ed. Ser. C: Education of Primary School Mathematics, 14(1), 43-55.
  9. Park, S. I.(1996). Inquiry class model. Theory and Application of Teaching Model. Seoul institute of education.
  10. Seo, S. H.(2016). A Study on Instructional Design and Implementation of Achievement standards in Algebra of 2015 Revision , Master's thesis, The Graduate School of Education Ewha Womans University.
  11. Shin, H. S.(2004). A Study on the Model and Design of Mathematics Classroom. seoul: Gyeongmunsa.
  12. Lee, D. H.(2016). Pre-Service Primary Teachers' Mathematical Investigation Through Transforming Mathematical Games, Journal of Educational Research in Mathematics, 26(1), 143-157.
  13. Lee, M. Y. & Oh, Y. Y.(2007). The Influence of Mathematical Tasks on Mathematical Communication, Journal of Educational Research in Mathematic, 17(4), 395-418.
  14. Lee, I. J.(2015). Understanding and Practice of Research Ethics. Seoul:Dong Munsa.
  15. Lee, I. J.(2016). The Backgrounds and Main Contents of the Revised Guideline for Securing of Research Ethics, Asian J Beauty Cosmetol, 14(1), 90-97. https://doi.org/10.20402/ajbc.2016.0035
  16. Hong, C. J. & Kim, G. Y. (2012). Functions in the Middle School Mathematics: The Cognitive Demand of the Mathematical Tasks, School Mathematics, 14(2), 213-232.
  17. Hwang, H. J.(2002). A Study on the Exploratory Learning in Groups Method in Mathematics Education, Journal of Educational Research in Mathematics, 12(1), 1-16.
  18. Hwang, H. J. & Hong, S, G. (2017). An Investigation on the Properties of the Argumentation for Students' Performing Geometric Tasks in Middle School-Based on the Type of the Rebuttal of Verheij, Journal of Educational Research in Mathematics, 27(4), 701-725.
  19. Hiebert, J., & Wearne, D. (1993). Instructional, classroom discourse, and student's learning in second-grade arithmetic, American Educational Research Journal, 30(2), 393-425. https://doi.org/10.3102/00028312030002393
  20. John Mason & Sue Johnston-Wilder (2006). Designing and using mathematical tasks. London: Lightning Source.
  21. Kwon, O. N. (2005) Towards Inquiry-Oriented Mathematics Instruction in the University, Proceedings of KAIST International Syposium on Enhancing University Mathematics Teaching.
  22. National Council of teachers of Mathematics(1991). Professional standard for teaching mathematics. Reston, VA: The author.
  23. National Council of teachers of Mathematics(2000). Principles and standard for school mathematics. Reston, VA: The author.
  24. National Research Council (1996). National science education standards. Washington, DC: National Academy Press.
  25. Peter Sullivan, Doug Clarke & Barbara Clarke (2013). Teaching with tasks for effective mathematics learning. New York: Springer Verlag.
  26. Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing, Mathematics Education, 29(3), 75-80.
  27. Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical used in reform classrooms, American Educational Research Journal, 33(2), 455-488. https://doi.org/10.3102/00028312033002455
  28. Suchman, J. R. (1964). The Illinois studies in inquiry training, Journal of Research in Science Teaching, 2(3), 230-232. https://doi.org/10.1002/tea.3660020315