纵向数学化:促进学生的深度学习

Vertical Mathematization:Promoting Students’ Deep Learning

"数学化"包括"横向数学化"和"纵向数学化"。"纵向数学化"强调在数学世界中进行符号生成、重塑和使用,能够促使学生的数学学习从低阶迈向高阶,促进学生的数学深度学习。教师在数学教学中运用"纵向数学化"理论,可以促进学生的本质性学习、结构性学习和反思性学习。

"Mathematization"includes"horizontal mathematization"and"vertical mathematization"."Vertical mathematicization"emphasizes the generation,reconstruction and use of symbols in the mathematical world,which can promote students’mathematics learning from low level to high level,and promote students’mathematics in-depth learning.Teachers can promote students’essential learning,structural learning and reflective learning by applying the theory of"longitudinal mathematicization"in mathematics teaching.