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http://dx.doi.org/10.7468/jksmee.2019.33.1.1

Student-Centered Discrete Mathematics Class with Cyber Lab  

Lee, Sang-Gu (Department of Mathematics, Sungkyunkwan University)
Lee, Jae Hwa (Department of Mathematics, Sungkyunkwan University)
Publication Information
Communications of Mathematical Education / v.33, no.1, 2019 , pp. 1-19 More about this Journal
Abstract
This study deals with the case of student-centered discrete mathematics class with cyber lab. First, we provided lecture notes and cyber labs we developed. In particular, discrete mathematics is a course that covers the principles of algorithms. The purpose of this study is to provide students with basic mathematics, aiming to actively participate in the learning process, to improve their abilities and to reach the ultimate goal of student success with confidence. Second, based on interactions, students were able to prepare for the lectures, review, question, answer, and discussion through an usual learning management system of the school. Third, all the students generated materials through one semester, which were reported, submitted, presented and evaluated. It was possible to improve the learning effectiveness through the discussions and implementation of using some easy open source programming language and codes. Our discrete math laboratory could be practiced without any special knowledge of coding. These lecture models allow students to develop critical thinking skills while describing and presenting their learning and problem-solving processes. We share our experience and our materials including lecture note and cyber lab as well as a possible model of student-centered mathematics class that does not give too much of work load for instructors. This study shares a model that demonstrates that any professor will be able to have an individualized, customized, and creative discrete education without spending much of extra time and assistant, unlike previous research.
Keywords
Discrete Mathematics; Student-Centered Learning; Cyber Lab;
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Times Cited By KSCI : 7  (Citation Analysis)
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1 Ko, R.Y., Kim, D.S., Bak, J.Y. & Lee, S.G. (2009). Development of Mobile Sage-math and its use in Linear Algebra, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education, 23(4), 1023-1041.
2 Kim, K.W. & Lee, S.-G. (2013). Development of smart-phone contents for mobile linear algebra, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education, 27(2), 121-134.
3 Kim, Y.J. (2007). A study on the discrete mathematics eduction, Master thesis, Hannam University, Daejeon.
4 Lee, S.-G., Lee, G.H., Choi, Y.S., Lee, J.H. & Lee, J.J. (2015). Interactive Statistics Laboratory using R and Sage, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education, 29(4), 573-588.
5 Lee, S.-G., Lee, J.H. & Kim, K.W. (2013). Sage Matrix Calculator and full Sage contents for Linear Algebra, The Korean Journal of Mathematics, 21(4). 503-521.   DOI
6 Lee, S.-G., Lee, J.H. & Park, K.E. (2017a). Development and Usage of Interactive Digital Linear Algebra Textbook, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education, 31(3), 241-255.
7 Lee, S.-G., Lee, J.H. & Park, K.E. (2017b). Linear Algebra Teaching in the Digital Age, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education, 31(4), 367-387.
8 Lee, S.-G., Lee, J.H., Park, J.H. & Kim, E.-K. (2016). Interactive Engineering Mathematics Laboratory, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education, 30(3), 281-294.
9 Lee, S.-G., Jang, J.E. & Kim, K,W. (2013). Development and Application of Visual-Dynamic Data for Linear Algebra Using Sage and Geogebra, Studies in Mathematical Education, Proceedings of the 2013 International Conf. on Math. Edu. 113-123.
10 Lee, J.H (2003). Discrete Mathematics Curriculum at Teacher Training College, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education, 15(1), 43-52.
11 Sutner, K. (2005). CDM: Teaching Discrete Mathematics to Computer Science Majors, ACM Journal of Educational Resources in Computing, 5(2), Article 4. 1-11.