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Model Answer Generation for Word-Type Questions in Elementary Mathematics

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Natural Language Processing and Information Systems (NLDB 2019)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11608))

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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

  1. 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)

    Google Scholar 

  2. 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)

    Google Scholar 

  3. Roy, S.I., Vieira, T.J.H., Roth, D.I.: Reasoning about quantities in natural language. Trans. Assoc. Comput. Linguist. 3, 1–13 (2015)

    Article  Google Scholar 

  4. 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

    Google Scholar 

  5. Amnueypornsakul, B., Bhat, S.: Machine-Guided Solution to Mathematical Word Problems, ACL, pp. 111–119 (2014)

    Google Scholar 

  6. 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

    Google Scholar 

  7. 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)

    Google Scholar 

  8. Matsuzaki, T.: The most uncreative examinee: a first step toward wide coverage natural language math problem solving. In: AAAI, pp. 1098–1104, July 2014

    Google Scholar 

  9. Dellarosa, D.: A computer simulation of children’s arithmetic word-problem solving. Behav. Res. Meth. Instrum. Comput. 18(2), 147–154 (1989)

    Article  Google Scholar 

  10. 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

    Google Scholar 

  11. 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

    Google Scholar 

  12. Robert Sweetland: Types of Addition and Subtraction Problems Examples with whole numbers (1992). http://www.homeofbob.com/math/numVluOp/wholeNum/addSub/adSubTypsChrt.html

  13. Koncel-Kedziorski, R.: MaWPS: A Math Word Problem Repository, HLT-NAACL, pp 1152–1157, June 2016

    Google Scholar 

  14. MaWPS: A Math Word Problem Repository (2016). http://lang.ee.washington.edu/MAWPS/datasets/SingleOp.json

  15. Morton, K., Yanzhen, Q.: A novel framework for math word problem solving. Int. J. Inf. Educ. Technol. 3(1), 88–93 (2013)

    Google Scholar 

  16. 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

    Google Scholar 

  17. Furey and Edward. Numbers to Words Converter. https://www.calculatorsoup.com

  18. 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)

    Google Scholar 

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Acknowledgement

This research was funded by a Senate Research Committee (SRC) Grant of University of Moratuwa.

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Correspondence to Sakthithasan Rajpirathap or Surangika Ranathunga .

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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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  • DOI: https://doi.org/10.1007/978-3-030-23281-8_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-23280-1

  • Online ISBN: 978-3-030-23281-8

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