数学教学中的逐步分解法：矩阵的初等变换与元素析取
Stepwise Decomposition Method in Mathematics Teaching: Elementary Transformation of Matrix and Element Extraction
逐步分解法（SDM=Stepwise Decomposition Method）指的是通过将一个宏观整体的 对象分解为一些单一对象，并通过这些单一对象来描述宏观整体的对象。这一思想广泛分 布在生活、科技、研究等方方面面。本文以《高等代数》中矩阵的初等变换的教学为例， 对数学教学中的逐步分解法展开一些论述。
he Stepwise Decomposition Method (SDM) refers to the process of decomposing a macroscopic entity into individual objects and describing the objects of the macroscopic entity through these individual objects. This idea is widely distributed in various aspects of life, technology, research, and more. This article takes the teaching of elementary transformations of matrices in Advanced Algebra as an example to discuss the stepwise decomposition method in mathematics teaching.
刘雨喆
数学
数学教改《高等代数》教学研究逐步分解法初等矩阵
Research on Teaching Advanced AlgebraStepwise decomposition methodElementary matrix.
刘雨喆.数学教学中的逐步分解法：矩阵的初等变换与元素析取[EB/OL].(2024-12-05)[2025-08-17].https://chinaxiv.org/abs/202412.00083.点此复制
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