行列式的直观表示与教法探究

Teaching Method of Inquiry Visual Representation of Determinant

数学概念是教学思维的出发点.n阶行列式概念过于抽象,难教难学,用定义计算行列式的方法也很难掌握.从3阶行列式展式中各项的符号的刻画入手,引入符号Sgn和置换概念,给出n阶行列式定义的新的表示方法,使概念抽象中不乏直观;尤其在少课时的线性代数教学中,有化繁为简之效.

Mathematics concept is the starting point of teaching thinking. Order determinant concept is too abstract, and difficult to learn and teach. Methods for calculating the determinant defined are also very difficult to master. This papey describes the 3 order determinant expansion in the symbols of the symbols, and replacement concept, new method to express the given order determinant definition, abstract concepts are intuitive; especially the teach- ing of linear algebra in small class is simplified.