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数学探究训练教学模式的教学原则有问题驱动、定向、数学化、适度形式化。教学环节包括确认问题、提供支架、定向活动、交流发现、确认规律、应用规律、整合知识方法七个阶段。内容组织方式主要是归纳和类比。实施过程中要注意保持任务的高认知水平。学生的探究有效果、有效率、有效用。这一模式适合于引入新方法或结构相似的扩张性课题，要求教师具有数学探究经验与调控课堂经验。“,”The instructional principles of mathematics inquiry training model involve question, direction, mathematization and moderate formalization. Its teaching process covers seven steps: problems identifying, scaffolds providing, activities orientation, discovery communication, pattern confirmation and application, and knowledge and methods integration. And its content organization mainly involves induction and analogy. Its performance requires high cognitive tasks and students’ inquiry of effectiveness and efficiency. The author suggests that the mode can be applied in introducing new methods or structurally similar extensive issues, which requires teachers to be well-experienced in inquiry teaching and class coordination.