APOS理论在学生符号意识培养中的应用

The Application of APOS Theory in Developing Students' Symbol Consciousness

符号意识在数学学习中占有重要的地位,《义务教育课程标准(2011版)》将符号意识列为十个核心素养之一。杜宾斯基的APOS理论致力于对"学生如何学习数学"以及"什么样的教学计划可以帮助这种学习"的考虑,提出了数学学习需要经历活动、程序、对象和图式这四个阶段,此理论与数学符号意识结合,促进学生符号意识的形成和提高。

Symbol consciousness plays an important role in mathematics learning. ＂Compulsory Education Curriculum Standards（Version 2011）＂ lists symbol consciousness as one of the ten core qualities. Dubinsky＇s APOS theory is devoted to the consideration of ＂how students learn mathematics＂ and ＂what kind of teaching plan can help this kind of learning＂. It puts forward that mathematics learning needs to go through four stages： activity, program,object, and schema. This theory is combined with consciousness of mathematical symbols to promote the formation and improvement of students＇ symbol consciousness.