A. Sfard, “On two metaphors for learning and the dangers of choosing just one,” Educational Researcher, vol. 27, no. 2, pp. 4-13, 1998.
 A. Sfard, Thinking as communicating: Human development, the growth of discourses, and mathematizing. New York, NY: Cambridge University Press, 2008.
 L. S. Vygotsky, Thought and language. Cambridge, MA: MIT Press, 1986.
 L. Wittgenstein, Philosophical investigations: The German text, with a revised English translation (3rd ed., G. E. M. Anscombe, Trans.). Malden, MA: Blackwell, 1953/2003.
 M. Bloor, and T. Bloor, The Practice of Critical Discourse Analysis: An Introduction. London: Hodder Arnold, 2007.
 J. P. Gee, An introduction to discourse analysis: Theory and method. New York, NY: Routledge, 1999.
 D. Kim, J. Ferrini-Mundy, and A. Sfard, “How does language impact the learning of mathematics? Comparison of English and Korean speaking university students’ discourses on infinity,” International Journal of Educational Research, vol. 51, no. 52, pp. 86-108, 2012.
 S. H. Choi, D. J. Kim, and J. Shin, “Analysis on characteristics of university students’ problem solving processes based on mathematical thinking styles,” Journal of Educational Research in Mathematics, vol. 23, no. 2, pp. 153-171, 2013.
 S. H. Choi, J. M. Ha, and D. J. Kim, “A communicational approach to mathematical process appeared in a peer mentoring teaching method,” Communications of mathematical education, vol. 30, no. 3, pp. 375-392, 2016.
 Y. H. Choi, S. H. Choi, and D. J. Kim, “An investigation of beginning and experienced teachers’ PCK and teaching practices - middle school functions,” Journal of the Korean school mathematics society, vol. 17, no. 2, pp. 251-274, 2014.
 J. H. Cha, S. H. Choi, and D. J. Kim, “Effects of a peer tutoring method on mathematical problem solving and class satisfaction,” Journal of the Korean school mathematics society, vol. 18, no. 2, pp. 203-221, 2015.
 D. Kim, Comparison of native-English and native-Korean speaking university students’ discourses on infinity and limit (Doctoral dissertation). East Lansing, MI: Michigan State University, 2009.