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Classifying and Solving Arithmetic Math Word Problems—An Intelligent Math Solver
IEEE Transactions on Learning Technologies ( IF 3.7 ) Pub Date : 2021-02-08 , DOI: 10.1109/tlt.2021.3057805
Sourav Mandal , Sudip Kumar Naskar

Solving mathematical ( math ) word problems (MWP) automatically is a challenging research problem in natural language processing , machine learning , and education (learning) technology domains, which has gained momentum in the recent years. Applications of solving varieties of MWPs can increase the efficacy of teaching–learning systems, such as e-learning systems , intelligent tutoring systems , etc., to help improve learning (or teaching) to solve word problems by providing interactive computer support for peer math tutoring. This article is specifically intended to benefit such teaching–learning systems on arithmetic word problems solving by adding an interactive and intelligent word problem solver to assess an individual's learning outcome. This article presents arithmetic mathematical word problems solver (AMWPS), an educational software application for solving arithmetic word problems involving single equation with single operation . This article is based on a combination of a machine learning based (classification) approach and a rule-based approach. We start with classification of arithmetic word problems into four categories ( Change , Compare , Combine , and Division–Multiplication ) along with their subcategories, followed by the classification of operations (+, –, *, and /) related to different subcategories. Our system processes an input arithmetic word problem, predicts the category and subcategory, predicts the operation, identifies and retrieves the relevant quantities within the problem with respect to answer generation, and formulates and evaluates the mathematical expression to generate the final answer. AMWPS outperformed similar systems on the standard AddSub and SingleOp datasets and produced new state-of-the-art result (94.22% accuracy).

中文翻译:

算术数学题的分类与求解—智能数学求解器

解决 数学的数学文字问题 (MWP)自动是一个具有挑战性的研究问题 自然语言处理机器学习 , 和 教育(学习)技术领域,近年来发展势头强劲。解决各种MWP的应用可以提高教学系统的效率,例如电子学习系统智能补习系统 等,通过为同级数学辅导提供交互式计算机支持来帮助改善学习(或教学)以解决单词问题。本文专门旨在通过添加交互式和智能的单词问题解决程序来评估个人的学习成果,来帮助此类有关算术单词问题解决的教学系统。本文介绍算术数学单词问题求解器 (AMWPS),一种用于解决涉及以下内容的算术单词问题的教育软件应用程序 单方程单次操作 。本文基于基于机器学习的(分类)方法和基于规则的方法的结合。我们首先将算术单词问题分为四类( 改变相比结合 , 和 除法-乘法 )及其子类别,然后是与不同子类别相关的操作(+,–,*和/)的分类。我们的系统处理输入的算术单词问题,预测类别和子类别,预测操作,识别并检索问题中与答案生成有关的相关数量,并制定和评估数学表达式以生成最终答案。在标准方面,AMWPS的表现优于同类系统添加子单操作 数据集并产生了最新的结果(准确度94.22%)。
更新日期:2021-03-26
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