Transformative Mathematics Learning represents the initiative of the subject,the constructiveness of meaning and the transformation of common sense in mathematics learning activities,it is related to the convert-ibility of many dimensions in mathematics learning,but it is not a simple deduction of the convertibility learn-ing theory in mathematics learning activities,it should not be regarded as the main direction or the only re-search paradigm of the modern development of mathematics learning theory,but should embed the characteris-tics of mathematics subject and learning thinking into those seemingly same or similar transformative processes,it is necessary to pay attention to the angle of view and schema in mathematics activities,to construct and per-fect the structure of mathematics knowledge in the process of change,transformation and variation,and to transform mathematics knowledge into mathematics ability and core accomplishment.A good transformative mathematics learning can not only guide the change of the relationship between mathematics teaching and learning,but also promote the improvement of students'mathematics learning ability and the implementation of the education of self-cultivation core competency.
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