How to apply the methods of psychological research to cognition of mathematical advanced concept and combine qualitative way and quantitative way is a key study 因此，如何创新地将心理研究方法用于高层次数学概念认知的研究中，将定性与定量分析有机结合，是一个关键的问题。
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Psychologists provide a suit of comparatively integrate methods for psychological research . however mathematical educationist lack such methods . they prefer thinking to making experimental research 心理学家拥有一套比较完整的心理研究方法，而从事数学教育的研究者往往缺乏这种知识，重思辨而轻实证。
