职前教师对数列极限概念的理解研究

Research on Prospective Teachers’ Understanding of Sequence Limit

APOS理论是一种建构主义的数学学习理论,它强调学生在建构数学概念时要经历操作、过程、对象和图式阶段.职前教师在数列极限概念的建构中基本达到了前3个阶段,图式阶段仍需大幅度提高.本科生和专升本学生存在显著差异.职前教育应加强数学专业课程的教学,加强对中学数学教学内容的深层理解。

APOS theory, one of the constructionism mathematic learning theories, emphasizes that construction of mathematics concepts must experience the action stage, process stage, object stage, schema stage. While constructing the sequence limit concept, prospective teachers generally have attained the first three stages, and need improve the last one ＇greatly. There exists striking difference on parts of investigation items between university students and junior college to university students. Prospective education should put more attention to teaching the mathematics major subjects and deeply understanding high school contents.