【摘要】 在讲授高等数学中的方向导数内容时，我们融入数学建模的思想和步骤，将算法中的最速下降法作为应用拓展，按照明类型、划水平、定任务、写目标、编量规、优结构和配评估等七个步骤进行教学设计.通过实践教学，表明这种教学设计方法能够在传统的教学中起到良好的教学效果.更多还原

【Abstract】 When teaching directional derivatives in Advanced Mathematics, we integrate the ideas and steps of mathematical modeling, take the method of fastest descent in the algorithm as an application extension, and carry out teaching design in accordance with seven steps, such as specifying type, delineating level, setting task, writing goal, making gauge, optimal structure and matching evaluation.Our teaching practice shows that this teaching design has a good teaching effect in the traditional teaching.更多还原