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“圆锥的体积等于和它等底等高的圆柱体积的三分之一。“这个结论在小学课本上是通过实验得到的。这个实验在老师的指导下,学生很容易做,但是几年的教学工作中,每当我讲这一内容时,尽管做了实验演示,学生还是常常只注意“圆锥的体积等于圆柱体积的三分之一”这一结论,而忽视其中的“等底等高”这一前提。为了加深学生对这一概念的理解,使学生重视“等底等高”这一前提,今年在讲“圆锥的体积”这—节时,我重新设计了这个试验,使这一课上得别开生面。
“The volume of the cone is equal to one-third the volume of the cylinder that is equal to its height at the bottom.” This conclusion is obtained experimentally in elementary school textbooks. This experiment is very easy for the students to do under the guidance of the teacher. However, for several years of teaching, whenever I talk about this content, students often only pay attention to the experimental demonstration that “the volume of the cone is equal to the volume of the cylinder One by one ”, while neglecting the premise of“ equal contour ”. In order to deepen students' understanding of this concept so that students value the premise of “equal contour,” I redesigned this experiment this year when I spoke about “the volume of cones” .