Modeling math word problems with augmented semantic networks

Liguda C, Pfeiffer T (2012)
In: Natural Language Processing and Information Systems/17th International Conference on Applications of Natural Language to Information Systems. Bouma G, Ittoo A, Métais E, Wortmann H (Eds); Lecture Notes in Computer Science, 7337. Berlin, Heidelberg: Springer: 247-252.

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Author
;
Editor
Bouma, Gosse ; Ittoo, Ashwin ; Métais, Elisabeth ; Wortmann, Hans
Abstract
Modern computer-algebra programs are able to solve a wide range of mathematical calculations. However, they are not able to understand and solve math text problems in which the equation is described in terms of natural language instead of mathematical formulas. Interestingly, there are only few known approaches to solve math word problems algorithmically and most of employ models based on frames. To overcome problems with existing models, we propose a model based on augmented semantic networks to represent the mathematical structure behind word problems. This model is implemented in our Solver for Mathematical Text Problems (SoMaTePs) [1], where the math problem is extracted via natural language processing, transformed in mathematical equations and solved by a state-of-the-art computer-algebra program. SoMaTePs is able to understand and solve mathematical text problems from German primary school books and could be extended to other languages by exchanging the language model in the natural language processing module.
Publishing Year
Conference
17th International conference on Applications of Natural Language Processing to Information Systems
Location
Groningen, Netherlands
Conference Date
2012-06-26 – 2012-06-28
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Liguda C, Pfeiffer T. Modeling math word problems with augmented semantic networks. In: Bouma G, Ittoo A, Métais E, Wortmann H, eds. Natural Language Processing and Information Systems/17th International Conference on Applications of Natural Language to Information Systems. Lecture Notes in Computer Science. Vol 7337. Berlin, Heidelberg: Springer; 2012: 247-252.
Liguda, C., & Pfeiffer, T. (2012). Modeling math word problems with augmented semantic networks. In G. Bouma, A. Ittoo, E. Métais, & H. Wortmann (Eds.), Lecture Notes in Computer Science: Vol. 7337. Natural Language Processing and Information Systems/17th International Conference on Applications of Natural Language to Information Systems (pp. 247-252). Berlin, Heidelberg: Springer.
Liguda, C., and Pfeiffer, T. (2012). “Modeling math word problems with augmented semantic networks” in Natural Language Processing and Information Systems/17th International Conference on Applications of Natural Language to Information Systems, ed. G. Bouma, A. Ittoo, E. Métais, and H. Wortmann Lecture Notes in Computer Science, vol. 7337, (Berlin, Heidelberg: Springer), 247-252.
Liguda, C., & Pfeiffer, T., 2012. Modeling math word problems with augmented semantic networks. In G. Bouma, et al., eds. Natural Language Processing and Information Systems/17th International Conference on Applications of Natural Language to Information Systems. Lecture Notes in Computer Science. no.7337 Berlin, Heidelberg: Springer, pp. 247-252.
C. Liguda and T. Pfeiffer, “Modeling math word problems with augmented semantic networks”, Natural Language Processing and Information Systems/17th International Conference on Applications of Natural Language to Information Systems, G. Bouma, et al., eds., Lecture Notes in Computer Science, vol. 7337, Berlin, Heidelberg: Springer, 2012, pp.247-252.
Liguda, C., Pfeiffer, T.: Modeling math word problems with augmented semantic networks. In: Bouma, G., Ittoo, A., Métais, E., and Wortmann, H. (eds.) Natural Language Processing and Information Systems/17th International Conference on Applications of Natural Language to Information Systems. Lecture Notes in Computer Science. 7337, p. 247-252. Springer, Berlin, Heidelberg (2012).
Liguda, Christian, and Pfeiffer, Thies. “Modeling math word problems with augmented semantic networks”. Natural Language Processing and Information Systems/17th International Conference on Applications of Natural Language to Information Systems. Ed. Gosse Bouma, Ashwin Ittoo, Elisabeth Métais, and Hans Wortmann. Berlin, Heidelberg: Springer, 2012.Vol. 7337. Lecture Notes in Computer Science. 247-252.
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