中国电化教育

数学学科能力培养是落实数学核心素养的关键路径，指向学科能力的学情分析成为实现因材施教的关键所在。如何科学表征指向数学学科能力的学情内容、学情数据，并开展学情分析实践，成为亟待研究的问题。该文在探寻形成数学学科能力的内隐认知与外显行为机制的基础上，深入剖析学科能力、学情内容、学情数据三者间的具象、量化、关联表征关系。将观察、判断、类比、解释、验证、质疑等数学学科能力外显行为与数学概念、性质、关系、规律相结合，以智慧课堂环境为培养数学学科能力提供的技术支撑为依托，构建了指向数学学科能力的学情分析框架，其中包含识别表达数学概念、表达数学关系、发现数学规律等学情内容，及测评数据、评价数据、在线学习数据、知识网络数据等学情数据。最后，基于指向数学学科能力的学情分析框架，以学科能力行为表现、学情分析工具设计、学情数据智能采集、学生学情深入剖析作为四大实践环节，将实时互评、自动批阅、在线测评、任务打卡、学情报告等功能作为技术辅助，提出智慧课堂环境下指向数学学科能力的学情分析实践路径。

The cultivation of mathematics discipline competence is the key path to the implementation of mathematics core literacy, and the analysis of learning situation pointing to disciplinary competence has become the key to the realization of tailor-made teaching. How to scientifically characterize the content and data of the learning situation that points to mathematics discipline competence, and carry out the practice of learning situation analysis has become an urgent research issue. On the basis of exploring the mechanism of implicit cognition and explicit behavior in the formation of mathematics discipline competence, the paper deeply analyzes the figurative, quantitative, and correlative representational relationship among discipline competence, learning situation analysis content, learning situation analysis data. Combining observation, judgment, analogy, explanation, verification, questioning and other explicit behaviors of mathematics discipline competence with mathematical concepts, properties, relationships, and laws, and relying on the technological support provided by the smart classroom environment for the cultivation of mathematics discipline competence, the paper constructs a framework of learning situation analysis pointing to the mathematics discipline competence. The framework includes learning situation content such as identifying and expressing mathematical concepts, expressing mathematical relationships, discovering mathematical laws, and learning situation data such as assessment data,evaluation data, online learning data, and knowledge network data. Finally, based on the framework of learning situation analysis pointing to mathematics discipline competence, the paper proposes a practical path of learning situation analysis pointing to mathematics discipline competence in a smart classroom environment by taking the behavioral performance of discipline competence, the design of learning situation analysis tools, the intelligent collection of learning situation data, and the in-depth analysis of students' learning situation as the four major practice links, and using the functions of real-time mutual evaluation, automatic reviewing, on-line evaluation, task clocking, and learning situation report as the technical aids.