“过河式”模型(图1)是谢全苗老师在一线教学实践中为有效设计和达成三维目标而提出的一个简单、直观、形象的教学学习活动模式,比“三角式”模式(图2)具有更多的优点,它便于操作与实践,易于反思与研究,能让教师结合课堂教学的具体内容,来有效分析、设计和达成三维目标,能更有效地促进一线教师在新课程理念下对课堂教学的反思、实践和研究,能实现数学课堂教学的“由惑到悟”.这里把“旧的知识与技能以及运用它不能解决 The ”river-crossing“ model (Figure 1) is a simple, intuitive and vivid teaching and learning activity model proposed by Xie Quanmiao teacher in front-line teaching practice for effective design and achievement of three-dimensional goals. ”Model (Figure 2) has more advantages. It is easy to operate and practice, easy to reflect on and research. It enables teachers to effectively analyze, design and achieve the three-dimensional goals by combining the specific contents of classroom teaching. It can more effectively promote front-line teachers In the new curriculum concept of classroom teaching in the reflection, practice and research, mathematics classroom teaching can achieve “from confusion to enlightenment.” Here the "old knowledge and skills and the use of it can not be resolved