数学直觉是指对数学对象中隐含的整体性、次序性、和谐性的领悟,以及能越过逻辑推理而做出种种预见的能力。法国著名科学家庞加莱指出“没有直觉,学生在理解数学时便无从着手;没有直觉,学生永远不会有应用数学的能力”。因此,在初中数学教学中,重视直觉思维的培养,有 Mathematical intuition refers to implicit understanding of the implicit integrity, order, harmony of mathematical objects, and the ability to make predictions beyond logical reasoning. Poincaré, a famous French scientist, points out that “without intuition, students have no way of understanding mathematics. There is no intuition that students will never have the ability to apply mathematics.” Therefore, in junior high school mathematics teaching, emphasis on the cultivation of intuition thinking, there