Web-Based Mathematics Testing with Automatic Assessment

Web-based testing is an effective approach for self-assessment and intelligent tutoring in an e-learning environment. In this paper, we propose a novel framework for Web-based testing and assessment, in particular, for mathematics testing. There are two major components in Web-based mathematics testing and assessment: automatic test paper generation and mathematical answer verification. The proposed framework consists of an efficient constraint-based Divide-and-Conquer approach for automatic test paper generation, and an effective Probabilistic Equivalence Verification algorithm for automatic mathematical answer verification. The performance results have shown that the proposed framework is effective for web-based mathematics testing and assessment. In this paper, we will discuss the proposed framework and its performance in comparison with other techniques.

[1]  Nick Roussopoulos,et al.  Nearest neighbor queries , 1995, SIGMOD '95.

[2]  Gwo-Jen Hwang,et al.  A tabu search approach to generating test sheets for multiple assessment criteria , 2006, IEEE Trans. Educ..

[3]  N. Alon,et al.  The Probabilistic Method: Alon/Probabilistic , 2008 .

[4]  Siu Cheung Hui,et al.  An efficient multi-objective optimization approach for Online Test Paper Generation , 2011, 2011 IEEE Symposium on Computational Intelligence in Multicriteria Decision-Making (MDCM).

[5]  Noga Alon,et al.  The Probabilistic Method , 2015, Fundamentals of Ramsey Theory.

[6]  Solomon Kullback,et al.  Information Theory and Statistics , 1960 .

[7]  Gwo-Jen Hwang,et al.  A test-sheet-generating algorithm for multiple assessment requirements , 2003, IEEE Trans. Educ..

[8]  Cristina Conati,et al.  Intelligent Tutoring Systems: New Challenges and Directions , 2009, IJCAI.

[9]  Hans-Peter Kriegel,et al.  The R*-tree: an efficient and robust access method for points and rectangles , 1990, SIGMOD '90.

[10]  Jun Zhang,et al.  An Intelligent Testing System Embedded With an Ant-Colony-Optimization-Based Test Composition Method , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[11]  Ricardo Conejo,et al.  SIETTE: A Web-Based Tool for Adaptive Testing , 2004, Int. J. Artif. Intell. Educ..

[12]  Teofilo F. Gonzalez,et al.  Handbook of Approximation Algorithms and Metaheuristics (Chapman & Hall/Crc Computer & Information Science Series) , 2007 .

[13]  Jakub Marecek,et al.  Handbook of Approximation Algorithms and Metaheuristics , 2010, Comput. J..

[14]  Bertrand M. T. Lin,et al.  On the development of a computer-assisted testing system with genetic test sheet-generating approach , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[15]  Gwo-Jen Hwang,et al.  Multi-Objective Parallel Test-Sheet Composition Using Enhanced Particle Swarm Optimization , 2009, J. Educ. Technol. Soc..

[16]  Eduardo Guzmán,et al.  Improving Student Performance Using Self-Assessment Tests , 2007, IEEE Intelligent Systems.