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http://dx.doi.org/10.7468/jksmee.2019.33.3.377

A mathematics teacher's discursive competence on the basis of mathematical competencies  

Choi, Sang-Ho (Korea University)
Kim, Dong-Joong (Korea University)
Publication Information
Communications of Mathematical Education / v.33, no.3, 2019 , pp. 377-394 More about this Journal
Abstract
The purpose of this study is to scrutinize the characteristics of a teacher's discursive competence on the basis of mathematical competencies. For this purpose, we observed all semester-long classes of a middle school teacher, who changed her own teaching methods for the last 20 years, collected video clips on them, and analyzed classroom discourse. Data analysis shows that in problem solving competency, she helped students focus on mathematically important components for problem understanding, and in reasoning competency, there was a discursive competence which articulated thinking processes for understanding the needs of mathematical justification. And in creativity and confluence competency, there was a discursive competence which developed class discussions by sharing peers' problem solving methods and encouraging students to apply alternative problem solving methods, whereas in communication competency, there was a discursive competency which explored mathematical relationships through the need for multiple mathematical representations and discussions about their differences. These results can provide concrete directions to developing curricula for future teacher education by suggesting ideas about how to combine practices with PCK needed for mathematics teaching.
Keywords
discursive competence; mathematical competencies; class engagement; questioning strategy;
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Times Cited By KSCI : 5  (Citation Analysis)
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1 Shulman, L. S. (1986). Those who understand: knowledge growth in teaching, Educational Researcher, 15(2), 4-14.   DOI
2 The Ministry of Education (2015). Mathematics curriculum, Se Jong: The Ministry of Education.
3 Kim, D., Kim, W., Ahn, B., Ryu, J., Lee, D., Choi, K., Choi, S., Ha, J., & Whang, W. (2017). A communicational approach to teaching method, Seoul: Kyowoosa.
4 Kim, D., Shin, J., Lee, J., Lim, W., Lee, Y., & Choi, S. (2019). Conceptualizing discursive teaching capacity: A case study of a middle school mathematics teacher, School Mathematics, 21(2), 291-318.   DOI
5 Kim, B., & Ryu, S. (2011). An analysis of the PCK of teachers and their educational practice about division of decimals, Journal of Elementary Mathematics Education in Korea, 15(3), 533-557.
6 Kim S., Lee, J., Sunwoo, H., Lee, J., Kim, W., Kim, Y., Shin, J., Kim, Y., Noh, C., Jeong, H., Joo, W. (2013). Teacher's guide middle school mathematics 1, Seoul: chunjae.
7 Park, S., & Kang, W. (2012). A study of teachers' pedagogical content knowledge about area of plane figure, The Journal of Educational Research in Mathematics, 22(4), 495-515.
8 Park, S., & Oh, Y. (2017). An analysis of teachers' pedagogical content knowledge about teaching ratio and rate, Journal of Elementary Mathematics Education in Korea, 21(1), 215-241.
9 Park, J., Ryu, S., & Lee, J. (2012). The analysis of mathematics error type that appears from the process of solving problem related to real life, Journal of the Korean School Mathematics Society, 15(4), 699-718.
10 Back, S., Kim, D., & Lee, K. (2014). An analysis of the types and characteristics of pre-service mathematics teachers' questioning in demonstrative lessons, Teacher Education Research, 53(3), 400-415.   DOI
11 Choi, S., Kim, D., & Shin, J. (2013). Analysis on characteristics of university students' problem Solving processes based on mathematical thinking styles, Journal of Educational Research in Mathematics, 23(2), 153-171.
12 Oh, S., & Song, S. (2016). A questioning role of teachers to formal justification process in generalization of a pattern task for the elementary gifted class, Journal of Elementary Mathematics Education in Korea, 20(1), 131-148.
13 Lee, K., Shin, H. (2009). Exemplary teachers' teaching strategies for teaching word problems, Journal of the Korean School Mathematics Society, 12(4), 433-452.
14 Lee, S., Song, S. (2016). A study on the teaching method for activities justify of paper folding by given size colored paper, Journal of Elementary Mathematics Education in Korea, 20(4), 695-715.
15 Choi M., Lee J., & Kim W. (2016). An analysis of mathematical knowledge for teaching of statistical estimation, The Mathematical Education, 55(3), 317-334.   DOI
16 Choi, S. (2018). Mathematics teachers' discursive competency, Korea University Graduate School Doctoral thesis.
17 Choi, S., Ha, J., & Kim, D. (2016a). A communicational approach to mathematical process appeared in a peer mentoring teaching method, Communications of Mathematical Education, 30(3), 375-392.   DOI
18 Choi, S., Ha, J., & Kim, D. (2016b). An analysis of student engagement strategy and questioning strategy in a peer mentoring teaching method, Journal of the Korean School Mathematics Society, 19(2), 153-176.
19 Han, J., & Park, M. (2010). An analysis of teacher questioning focused on mathematical creativity, Journal of Elementary Mathematics Education in Korea, 14(3), 865-884.
20 Choe, S., & Hwang, H. (2008). The research on pedagogical content knowledge in mathematics teaching, Journal of the Korean School Mathematics Society, 11(4), 569-593.
21 Boaler, J., & Brodie, K. (2004). The importance, nature and impact of teacher questions, Proceedings of the 26th North American Chapter of the International Group for the Psychology of Mathematics Education(pp. 774-783). Toronto, Canada.
22 Dyer, J., Gregersen, H., & Christensen, C. (2009). The innovator's DNA, Brighton, MA: Harvard Business Review Press.
23 Han, S., Flores, R., Inan, F. A., & Koontz, E. (2016). The use of traditional algorithmic versus instruction with multiple representations, School Mathematics, 18(2), 257-275.
24 Gagne, R. M. (1985). The conditions of learning and theory of instruction(4th ed.), New York: Holt, Rinehart & Winston.
25 Gallo, C. (2010). 스티브 잡스 무한 혁신의 비밀(박세연 옮김), 서울: 비즈니스북스.
26 Glaser, B. F., & Strauss, A. L. (1967). The discovery of grounded theory, New York: Aldine de Gruyter.
27 Schwartz, C. (2015). Developing the practice of teacher questioning through a K-2 elementary mathematics field experience, Investigations in Mathematics Learning, 7(3), 30-50.   DOI
28 Sfard, A. (2008). Thinking as communicating, New York: Cambridge university press.
29 Vygotsky, L. S. (1986). Thought and language, Cambridge, M. A.: MIT Press.
30 Wittgenstein, L. (1953/2003). Philosophical investigations: The German text, with a revised English translation(3rd ed., G. E. M. Anscombe, Trans.), Malden, MA: Blackwell.