美国教育心理学家加涅认为:因为不同类型的知识在人脑中表征与贮存方式不同、习得过程与有效学习的条件不同,所以教学中要根据不同的学习结果类型创设不同的学习内部条件并相应安排学习的外部条件.该理论为教师进行教学设计提供了重要的心理学依据,使教学有效性建立在教学科学性的基础上.本文就基于加涅的学习的条件与教学论阐述如何进行高中数学问题解决教学设计.一、基于“学习的条件和教学论”的问题解决教学设计过程 Gardner, an American educational psychologist, believes that because different types of knowledge are characterized and stored in the human brain in different ways, the learning process is different from the effective learning, so the teaching should create different learning internal conditions according to different learning result types And accordingly arranges the external conditions of learning.This theory provides important psychological basis for teachers’ instructional design and makes the validity of teaching based on teaching science.This paper describes how to study the condition and teaching theory based on Gagne’s teaching High school mathematics problem solving teaching design. First, based on “learning conditions and teaching theory ” problem solving teaching design process