How to overcome the negative influence of students' mathematical thinking mode

Mental stereotypes have two functions:

On the one hand, it plays a positive role. Stereotype effect can make people perceive people and things more quickly and effectively under the condition that objective things and environment are relatively unchanged. When an individual knows a new thing, his mind is not a blank sheet of paper, but has accumulated certain knowledge and experience. It is with this knowledge and experience that he can learn something new quickly and effectively without having to explore for a long time. It is here that knowledge and experience are valuable. In particular, people's understanding of the regularity of things has a set effect, and its positive role is more obvious. See the moon halo know the wind, see the soil moist know the rain, are examples. Criminal investigation police can recognize thieves, fugitives and smugglers at a glance, and can find out the specific situation of the perpetrators from clues, which is also the positive role of stereotype effect.

On the other hand, the set effect will also have negative effects. Objective things vary widely, and the situation is always changing. Therefore, only relying on existing experience, knowledge and knowledge to understand new things often leads people to deviate from understanding. "Carving a boat for a sword" is a metaphor for this wrong way of thinking. "Look at people with old eyes … take it for granted … do things according to the old imperial calendar" is also about the negative effect of stereotype effect.

In study, work and life, we should consciously overcome the mindset and make our thinking broader, deeper, more flexible and more agile.