体悟建模过程优化数学课堂——以“体重与脉搏”为例

Understanding the Modeling Process and Optimizing the Mathematics Classroom—Taking the “Weight and Pulse” as an Example

摘要: 数学建模活动是基于数学思维、运用数学模型解决现实问题的一类综合实践活动，也是高中数学课程的四条主线之一。如何根据课标中对数学建模过程的有效划分在课堂中实施完整的数学建模活动是当前数学建模教学的一个重要方向。文章以“体重与脉搏”的建模过程为例，展示从现实情境入手，经历问题目标提炼、问题呈现、模型建立与求解、模型检验、模型优化与评价的中学数学建模的完整环节。

Abstract: Mathematical modeling activity theory is a kind of comprehensive practical activity based on mathematical thinking and using mathematical models to solve practical problems, which is also one of the four main lines of high school mathematics curriculum. How to effectively implement complete mathematical modeling activities in class according to the division of mathematical modeling process in the curriculum standard is an important direction of current mathematical modeling teaching. This paper takes the modeling process of “Weight and Pulse” as an example to show the complete link of middle school mathematical modeling, which starts from the real situation, goes through the problem objective extraction, problem presentation, model establishment and solution, model testing, model optimization and evaluation.