数学分析教学中的类比迁移

Analogical Transfer in Mathematical Analysis Teaching

类比迁移是一种重要的迁移现象.在数学分析教学中,运用类比促进迁移的途径有:1)通过离散与连续类比产生迁移;2)通过有限与无限类比产生迁移;3)通过低维与高维类比产生迁移;4)通过逻辑思维过程类比产生迁移,迁移理论能够优化数学认知结构.

Analogical transfer was an important appearance of transfer. There expounded the application of transfer theory to mathematical analysis teaching, put forward an important approach to promote the positive transfer-analogy, which included achieving positive transfer by comparing making analogy between discreteness and continuousness, achieving positive transfer by making analogy between finite and infinity and achieving positive transfer by making analogy between lower-dimensional problems and higher-dimensional problems ,achieving positive transfer by making analogy between logical processing. It also discussed how to optimize the cognitive structure in learning mathematical analysis by applying transfer theory.