论文部分内容阅读
数学思想是一种解题思维,它蕴含于解题过程中,影响着学生解题能力的发展。要培养学生的数学能力,数学思想是教师必须直面的一个话题,而数学思想的渗透离不开具体的数学实践,那么,教师应如何有效把握数学思想的内涵特点,无痕渗透于课堂,从而助力学生思维的发展?本文从无痕渗透化规思想,有效理清解题思路;无痕渗透类比思想,有效提升解题能力;无痕渗透分类思想,有效拓展解题思维三个方面阐述。
Mathematical thinking is a problem-solving thinking, which implies in the process of solving problems, affecting the development of students’ ability to solve problems. To cultivate students’ mathematical abilities, mathematical thinking is a topic that teachers must face directly. However, the penetration of mathematical ideas can not be separated from concrete mathematical practice. So how can teachers effectively grasp the connotation and features of mathematical thought? Help the development of students’ thinking. In this paper, from the infiltration of unconventional gauge ideas, effectively solve the problem-solving ideas; trace infiltration analogy, effectively enhance the ability to solve problems; trace infiltration classification ideas, effectively expand the problem-solving thinking elaborate three aspects.