矩法估计教学设计与实施

Teaching Design and Implementation of the Method of Moments

摘要: 矩法估计是概率论与数理统计课程中参数估计的基础方法。本文以航空航天工程案例为特色，结合思政教育元素，以问题导向式教学模式，设计了时长45分钟的课堂教学内容。旨在帮助学生掌握矩法估计的原理、步骤及应用，将思政教育目标与知识教学目标深度融合，既落实掌握矩法估计方法的知识目标，又达成培养创新思维、数据诚信、责任意识等素养目标。最终实现知识传授、能力培养与价值塑造三位一体的教学目标。

Abstract: The method of moments is a fundamental approach to parameter estimation in the course of Probability Theory and Mathematical Statistics. A 45-minute classroom teaching content is developed based on the aerospace engineering cases feature and integrating ideological and political education elements and adopting a problem-oriented teaching model design. It aims to help students master the principles, steps, and applications of the method of moments, and deeply integrate ideological and political education objectives with knowledge teaching objectives. This not only fulfills the knowledge goal of grasping the method of moments but also achieves the literacy goals of cultivating innovative thinking, data integrity, and a sense of responsibility. Ultimately, it achieves the trinity teaching goal of knowledge imparting, competence development and value shaping.