Progress and Implications of the Research on"Transcendent Recursive"Mathematical Understanding Model
Mathematical understanding is an important topic in international mathematical education research.In the international mathematics education community,the"transcendent recursive"mathematical understanding model has a wide range of applications,a long duration and far-reaching influence.This model has the following characteristics:returning to the original place,complementing activities and expressions,not requiring boundaries,and promoting the development of students'understanding through intervention.The model brings us the following insights:Firstly,pay attention to the value of each level of understanding in the study of mathematical understanding and carry out targeted teaching based on it.Secondly,Students'mathematical understanding is a fold-back and round-trip process,and we should focus on the phenomenon of fold-back and thickening in students'mathematical understanding.Then,to give full play to the reciprocal role of activity and expression in students'mathematical understanding.Finally,teachers should learn to use different intervention methods to solve students'difficulties in understanding and open up the relationship between learning and teaching.
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