SGER III-CXT: Integrating Computer Science Techniques into Differentiated Instruction of Mathematical Word Problem Solving

差异化教学在当今的包容性课堂中发挥着关键作用，通过提供不同的切入点和针对学生需求的学习任务，满足个别学生的不同需求，使所有学生都能获得相同的课堂课程。本研究旨在建构一个具有以下功能的数学应用题解决差异化教学系统。首先，该系统维护一个由预定义的模板生成或从学生/教师共享的教学材料池;建议的统计自然语言处理技术将自动从教学材料中提取诸如可读性和无关信息的噪声水平等特征。其次，该系统提供计算机辅助教学，培养学生分析和解决数学应用题的能力。第三，它使形成性评价能够监测学生的进步。第四，系统通过利用学生表现驱动的推荐算法为特定学生提供差异化教学材料的推荐。 拟议的工作包括计算机科学技术的尖端研究。一个联合统计学习算法将被设计用于在一个统一的框架中识别可用教学材料的可读性、单词难度和句法复杂性的水平。在数学应用题中，我们设计了一个关系学习算法，用于从不相关信息的句子中识别出相关信息的句子。

Differentiated instruction plays a critical role in today's inclusive classrooms to meet the diverse needs of individual students for allowing all students to access the same classroom curriculum by providing different entry points and learning tasks that are tailored to students' needs. The proposed research is to construct a differentiated instructional system of mathematical word problem solving with the following functionalities. First, the system maintains a pool of instructional materials generated by pre-defined templates or shared from students/teachers; features such as readability and the noise level of irrelevant information will be automatically extracted from instructional materials by proposed statistical natural language processing techniques. Second, the system provides computer-assisted instruction to train students' abilities for analyzing and solving mathematical word problems. Third, it enables formative evaluation to monitor students' progress. Fourth, the system provides the recommendation of differentiated instructional materials for a specific student by utilizing a student performance-driven recommendation algorithm. The proposed work includes cutting-edge research for computer science techniques. A joint statistical learning algorithm will be designed for identifying levels of readability, word difficulty, and syntactic complexity of available instructional materials in a unified framework. A relational learning algorithm will be designed for identifying sentences with relevant information from sentences with irrelevant information in a mathematical word problem.