论文部分内容阅读
《义务教育数学课程标准(2011版)》将原来课程标准中六个“核心概念”增加到十个,“几何直观”就是新增加的核心概念之一。在教学中,鼓励学生巧妙运用数形结合的思想方法解决一些抽象的数学问题,可起到事半功倍的效果。数形结合的重点就是代数问题几何化,也就是“以形解数”。下面以“八年级上册《勾股定理》教学片段”为例说明如何发展学生的几何直观。“勾股定理”的引入,设计了在方格图中通过计算面积的方法
“Compulsory Education Mathematics Curriculum Standard (2011 Edition)” will be the original curriculum standards six “core concepts” increased to ten, “geometric intuition ” is one of the core concepts added. In teaching, to encourage students to clever use of numerical combination of ideas and methods to solve some abstract mathematical problems, can play a multiplier effect. The key to the combination of numbers is the geometricization of algebraic problems, that is, “to solve the number of solutions.” The following to “eighth grade” Pythagorean theorem “teaching fragment” as an example to illustrate how to develop students’ geometric intuition. “Pythagorean Theorem ” the introduction of the design of the square grid graph by calculating the area