Graphic Representation on Algebra Concepts of University Students Based on Clustering Approach

Abstract:

The purpose of this study is to integrate a knowledge management which provides graphic representation on concept structures based on clustering technique. The polytomous student problem chart (S-P chart) is adopted to classify students into proper learning styles according to response pattern with caution index and score. Furthermore, weighted polytomous ordering theory (OT) is used to construct graphic concept structure of each learning style. The integration of polytomous S-P chart and weighted polytomous OT could help knowledge management for students. In the study, the empirical data is the assessment of linear algebra from university students. The results show that each learning style has its own features of cognitive characteristics. In short, the integrated methodology can improve knowledge management for students more feasible. Finally, some recommendations and suggestions for future studies are discussed.

• Periodical: Advanced Materials Research (Volumes 211-212)
• Pages: 866-870
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.211-212.866
• Online since: February 2011
• Authors: Yuan Horng Lin, Jeng Ming Yih
• Keywords: Algebra Concept, Concept Structure, Knowledge Management, S-P Chart

References

[1] M. Claire: Journal of the American Society for Information Science and Technology Vol. 53 (2002) pp.1009-1018.

[2] J. Ferguson: Knowledge Management for Development Journal Vol. 1 (2005) p.46–54.

[3] K. M. Sheehan: Journal of Educational Measurement Vol. 34 (1997) pp.333-352.

[4] J. C. Falmagne: Journal of Mathematical Psychology Vol. 37 (1993) pp.489-512.

[5] Y. H. Lin, W. M. Bart and K. J. Huang: WPIRS Software [Manual and Sftware for Gneralized Soring of Item Relational Structure] (2006).

[6] T. Sato: NEC Educational Information Bulletin 80-1 (1980).

[7] T. Sato: Introduction to S-P Curve Theory Analysis and Evaluation (Tokyo, Meiji Tosho 1985).

[8] D. J. Chen, A. F. Lai, and I. C. Liu: Journal of Information Science and Engineering Vol. 21 (2005) pp.1007-1030.

[9] D. M. Dimitrov: Applied Psychological Measurement Vol 31 (2007) pp.367-387.

[10] K. Afamasaga-Fuatai: Concept Mapping in Mathematics. New York, NY: Springer (2009).

[11] J. Garfield and A. Ahlgren: Journal for Research in Mathematics Education Vol. 19 (1988) pp.44-63.

[12] M. Russell and L. M. O'Dwyer: Behavior Research Methods Vol. 41 (2009) pp.414-424.

[13] L. D. Berry J and M. Nyman: International Journal of Mathematical Education in Science & Technology Vol. 41 (2010) pp.1-18.

[14] A. Piu and C. Fregola: Simulation and Gaming for Mathematical Education: Epistemology and Teaching Strategies. Hershey, PA: IGI Global. (2010).

[15] J. C. Falmagne: Journal of Mathematical Psychology Vol. 37 (1993) pp.489-512.