Abstract
There are several categories of word-type questions at elementary level Mathematics. These include addition, subtraction, multiplication, division and ratio. Addition and subtraction problems can be further divided based on their textual information. Those types are change type (join-separate type), compare type, and whole-part type. This paper presents a set of ensemble classifiers to automatically generate model answers for these three types of addition and subtraction problems. Currently, questions with one unknown variable are considered. In addition to the existing data sets, a new data set is created for the training and the evaluation purpose. Our results outperform the existing statistical approaches.
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References
Erabadda, B., Ranathunga, S., Dias, G.: Computer aided evaluation of multi-step answers to algebra questions. In: 2016 IEEE 16th International Conference on Advanced Learning Technologies (ICALT) 1993. Austin, TX, pp. 199–201 (2016)
Kadupitiya, J.C.S., Ranathunga, S., Dias, G.: Automated assessment of multi-step answers for mathematical word problems 2016 Sixteenth International Conference on Advances in ICT for Emerging Regions (ICTer), Negombo, pp. 66–71 (2016)
Roy, S.I., Vieira, T.J.H., Roth, D.I.: Reasoning about quantities in natural language. Trans. Assoc. Comput. Linguist. 3, 1–13 (2015)
Kushman, N., Artzi, Y., Zettlemoyer, L., Barzilay, R.: Learning to automatically solve algebra word problems. In: 52nd Annual Meeting of the Association for Computational Linguistics, pp. 271–281, December 2014
Amnueypornsakul, B., Bhat, S.: Machine-Guided Solution to Mathematical Word Problems, ACL, pp. 111–119 (2014)
Huang, C.T., Lin, Y.C., Su, K.Y.: Explanation generation for a math word problem solver. Int. J. Comput. Linguist. Chin. Lang. Process. (2015). The 2015 Conference on Computational Linguistics and Speech Processing ROCLING 2015, pp. 64–70
Liang, C.C., Hsu, K.Y., Huang, C.T., Li, C.M., Miao, S.Y., Su, K.Y.: A Tag-based english math word problem solver with understanding, reasoning and explanation. In: HLT-NAACL Demos, pp. 67–71 (2016)
Matsuzaki, T.: The most uncreative examinee: a first step toward wide coverage natural language math problem solving. In: AAAI, pp. 1098–1104, July 2014
Dellarosa, D.: A computer simulation of children’s arithmetic word-problem solving. Behav. Res. Meth. Instrum. Comput. 18(2), 147–154 (1989)
Wang, Y., Liu, X., Shi, S.: Deep neural solver for math word problems. In: Conference on Empirical Methods in Natural Language Processing, pp. 856–865, September 2017
Hosseini, M.J., Hajishirzi, H., Etzioni, O., Kushman, N.: Learning to solve arithmetic word problems with verb categorization. In: Conference on Empirical Methods on Natural Language Processing, pp 523–533, October 2014
Robert Sweetland: Types of Addition and Subtraction Problems Examples with whole numbers (1992). http://www.homeofbob.com/math/numVluOp/wholeNum/addSub/adSubTypsChrt.html
Koncel-Kedziorski, R.: MaWPS: A Math Word Problem Repository, HLT-NAACL, pp 1152–1157, June 2016
MaWPS: A Math Word Problem Repository (2016). http://lang.ee.washington.edu/MAWPS/datasets/SingleOp.json
Morton, K., Yanzhen, Q.: A novel framework for math word problem solving. Int. J. Inf. Educ. Technol. 3(1), 88–93 (2013)
Zhou, L., Dai, S., Chen, L.: Learn to solve algebra word problems using quadratic programming. In: EMNLP The Association for Computational Linguistics, pp. 817–822, September 2015
Furey and Edward. Numbers to Words Converter. https://www.calculatorsoup.com
Hevapathige A., Wellappili D., Kankanamge G.U., Dewappriya N., Ranathunga S.: A two-phase classifier for automatic answer generation for math word problems. In: 18th International Conference on Advances in ICT for Emerging Regions (ICTer), pp. 1–6 (2018)
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This research was funded by a Senate Research Committee (SRC) Grant of University of Moratuwa.
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Rajpirathap, S., Ranathunga, S. (2019). Model Answer Generation for Word-Type Questions in Elementary Mathematics. In: Métais, E., Meziane, F., Vadera, S., Sugumaran, V., Saraee, M. (eds) Natural Language Processing and Information Systems. NLDB 2019. Lecture Notes in Computer Science(), vol 11608. Springer, Cham. https://doi.org/10.1007/978-3-030-23281-8_2
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