참고문헌
- Ministry of Education (2015). Mathematics courses. Ministry of Education Notice #2015-74 [Separately 8].
- Kim, W.K., Joe, M.S., Bang, K.S., Youn, J.K., Joe, J.K., Lee, G.J., Kim, G.T., Park, S.Y., Park, J.S., Park, J.H., Youn, Y.S. & Jung, S.I. (2014). Probability and Statistics. Seoul: Vi Sang Edu.
- Park, M.M., Lee, D.H., Lee, K.H. & Kho, E.S. (2012). Understanding of Statistical concepts Examined through Problem Posing by Analogy, The Journal of Educational Research in Mathematics. 22(1), 101-115.
- Park, Y.H. (2001). A Study on the Meaning of Average Values and Its Teaching in Statistics Area, School Mathematics. 3(2), 281-294.
- Shin, O.S. (2005). The significance and use of in-depth interviewing for educational research, The Journal of Education. 25(1), 121-140.
- Lee, D. G. (2017). A Study on 1st Year High School Students' Construction of Average Speed Concept and Average Speed Functions in Relation to Time, Speed, and Distance. Unpublished doctoral dissertaion. Korea National University of Education.
- Lee, D.G., & Kim, S.H. (2017). A Case Study on the Change of Procedural Knowledge Composition and Expression of Derivative Coefficient in Exponential Function Type Distance, School Mathematics. 19(4), 639-661.
- Lee, C.J., Jeon, P.K. (2006). Series A : An Analysis of Informal Concepts of Average Found in Fifth and Sixth Graders, School Mathematics. 45(3), 319-343.
- Jang, H.W. (2002). A Discussion on the Distinction between 'The Value of Ratio' and 'The Rate' in Elementary School Mathematics, School Mathematics. 4(4), 633-642.
- Jeong, E.S. (2010). A Study on Quantity Calculus in Elementary Mathematics Textbooks, The journal of educational research in mathematics. 20(4), 445-458.
- Joo, H.Y., Kim, K.M., & Whang, W.H. (2010). Pre-service Teachers' Conceptualization of Arithmetic Mean, School Mathematics. 49(2), 199-221.
- Bakker, A. & Gravemeijer, K. P. E. (2006). An historical phenomenology of mean and median, Educational Studies in Mathematics. 62, 149-168. https://doi.org/10.1007/s10649-006-7099-8
- Ellis, R. & Gulick, D. (2000). Calculus with Analytic Geometry. (5th ed.). (수학교재편찬위원회 역), 서울: 청문각.
- Fontana, A. & Frey, J. H. (2000). The interview: from structured questions to negotiated text. in N.K. Denzin & Y. S. Lincoln (Eds.), Handbook of qualitative research(2nd ed.) (645-672), Thousand Oaks, CA: Sage.
- Friel. S. N. (1998). Teaching statistics what's average?. In L. J. Morrow (Ed.), The teaching and learning of algorithms in school mathematics: 1998. Yearbook of National Council of Teachers of Mathematics(208-217). Reston, VA: National Council of Teachers of Mathematics.
- Freudenthal, H. (1983). Didactical phenomenology of mathematical structures, Dordrecht: D. Reidel Publishing Company.
- Groth, R. E. (2005). An investigation of statistical thinking in two different context: Detecting a signal in anoisy process and determining a typical value, Journal of Mathematical Behavior 24. 109-124. https://doi.org/10.1016/j.jmathb.2005.03.002
- Holstein, J. A. & Gubrium, J. F. (1995). The active interview, Thousand Oaks, CA: Sage.
- Johnson, J. M. (2002). In-depth interviewing. in J. F. Gubrium & J. A. Holstein (Eds.), Handbook of interview research (103-119). Thousand Oaks, Sage.
- Klein, M. (2016). 수학자가 아닌 사람들을 위한 수학. (노태복 역), 서울: 승산. (원저 1967년 출판)
- Marnich, M. A. (2008). A Knowledge Structure for the Arithmetic Mean: Relationships between Statistical Conceptualization and Mathematical Concepts. Unpublished Doctoral dissertation, University of Pittsburgh.
- Merriam, S. B. (1994). 질적 사례연구법. (허미화 역), 서울: 양서원. (원저 1988년 출판)
- Mokros, J. & Russell, S. J. (1995). 'Children's concepts of average and representativeness', Journal for Research in Mathematics Education 26. 20-39. https://doi.org/10.2307/749226
- Mokros, J. & Russell, S. J. (1996). What do children understand about average?. Teaching Children Mathematics, 2(6). 360-364.
- Savage, S. L. (2014). 평균의 함정. (김규태 역), 서울: 경문사. (원저 2012년 출판)
- Spradley, J. P. (1979). The ethnographic interview, New York: Holt, Rinehart & Winston.
- Watson, J. M. & Morits, J. B. (2000). The longitudinal development of understanding of average. Mathematical Thinking and Learning 2(1-2, 11-50. https://doi.org/10.1207/S15327833MTL0202_2