Modeling Math Word Problems with Augmented Semantic Networks
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) , 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.
KeywordsNatural Language Processing Word Problem Semantic Network Math Problem Word Prob
Unable to display preview. Download preview PDF.
- 1.Liguda, C., Pfeiffer, T.: Somateps (2012), http://sourceforge.net/projects/somateps/ (visited January 31, 2012)
- 2.Bergmann, H., Hauer, E., Heuchert, D., Kaufmann, A., Kuehne-Zuern, D., Schneider, A., Schumacher, K., Teifke, R., Usemann, K., Woerwag, K.: 200 Textaufgaben wie in der Schule. Klett, Stuttgart (2010)Google Scholar
- 4.Liguda, C., Pfeiffer, T.: A question answer system for math word problems. In: Proceedings of the First International Workshop on Algorithmic Intelligence (2011), http://pub.uni-bielefeld.de/publication/2423329
- 5.Bobrow, D.G.: A question-answering system for high school algebra word problems. In: Proc. of the Fall Joint Computer Conference, Part I. AFIPS 1964, October 27-29, pp. 591–614. ACM, New York (1964)Google Scholar
- 7.Fletcher, C.: Understanding and solving arithmetic word problems: A computer simulation. Behavior Research Methods 17, 565–571 (1985), doi:10.3758/BF03207654Google Scholar
- 8.Yuhui, M., Ying, Z., Guangzuo, C., Yun, R., Ronghuai, H.: Frame-based calculus of solving arithmetic multi-step addition and subtraction word problems. In: International Workshop on Education Technology and Computer Science, vol. 2, pp. 476–479 (2010)Google Scholar
- 10.Simmons, R.F.: Semantic networks: Their computation and use for understanding English sentences. Freeman, San Francisco (1973)Google Scholar
- 11.Stein, W., Joyner, D.: Sage: System for algebra and geometry experimentation. Communications in Computer Algebra, SIGSAM Bulletin (2005)Google Scholar