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Automatic Generation of Answers Using Solution Network for Mathematical Exercises

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Knowledge-Based Intelligent Information and Engineering Systems (KES 2005)

Abstract

The objective in this paper is to construct a mechanism for generating the answers for mathematical exercises automatically. A mathematical exercise is decomposed into several small exercises that are called sub-exercises. An answer of an exercise is a collection of answers of its sub-exercises. If the inclusive relations among exercises are managed, answers for exercises can be generated easily. In our approach, the inclusive relations of exercises are represented as a solution network. The solution network is structured as a tree. In the solution network, nodes correspond to the exercises and links indicate inclusive relations of exercises. By traversing the solution network from the node corresponds to the target exercise and detecting its sub-exercises, the answer of the target exercise is able to be generated automatically.

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© 2005 Springer-Verlag Berlin Heidelberg

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Kojiri, T., Hosono, S., Watanabe, T. (2005). Automatic Generation of Answers Using Solution Network for Mathematical Exercises. In: Khosla, R., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2005. Lecture Notes in Computer Science(), vol 3683. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11553939_181

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  • DOI: https://doi.org/10.1007/11553939_181

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28896-1

  • Online ISBN: 978-3-540-31990-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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