论文部分内容阅读
一、数学概念教学中的逆向思维培养数学概念是人脑对现实对象的数量关系和空间关系本质的一种真实反映,数学概念的本质即是一种数学思维。高中数学概念包括集合、函数、数列、坐标系、不等式、方程式等,可谓是纷繁多样、千变万化。尤其是在一些相关概念的教学上,学生们常常容易产生混淆。对此,教师可以采用逆向思维与正向思维相结合的数学概念教学策略,通过对数学概念的可逆性证明来培养学生的逆向思维能力。例如,在映射概念的教学中,映射是指A、B两个集
First, the reverse thinking in mathematical concept teaching Cultivation of mathematical concepts is the human brain to the real relationship between the number of objects and the nature of the spatial relationship of a true reflection of the nature of mathematical concepts that is a mathematical thinking. High school mathematics concepts include set, function, sequence, coordinate system, inequality, equations, etc., can be described as diverse, ever-changing. Especially in the teaching of some related concepts, students are often prone to confusion. In this regard, teachers can use the mathematical thinking of reverse thinking and positive thinking combined teaching strategies, reversible proof of mathematical concepts to develop students’ ability to reverse thinking. For example, in the teaching of the concept of mapping, the mapping refers to A and B two sets