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1问题提出香港中文大学黄毅英教授认为数学教师从事教学所应具备的核心知识称为MPCK(Mathematics Pedagogical Content Knowledge),它是三个基本集合MK、PK、CK的公共部分。其中,数学学科知识(Mathematics Knowledge,简称MK);一般教学法知识(Pedagogical Knowledge,简称PK);有关数学学习的知识(Content Knowledge,简称CK)~([1][2])。MPCK的发展是教师专业发展的核心,它直接影响教师日常教学行为,决定教师教学能力的水平,进而影响教师的课堂教学效果与教学质量。刚入职的教师初登讲台时,其数学知识结构不够
1 PROBLEM PROPOSED Professor Huang Yiying of the Chinese University of Hong Kong believes that the core knowledge that mathematics teachers should have in teaching is called Mathematics Pedagogical Content Knowledge (MPCK), which is a common part of the three basic episodes of MK, PK and CK. Among them, Mathematics Knowledge (MK), Pedagogical Knowledge (PK), and Content Knowledge (CK) ~ ([1] [2]). The development of MPCK is the core of teachers ’professional development. It directly affects teachers’ daily teaching behaviors, determines the level of teachers ’teaching ability, and then affects teachers’ classroom teaching effectiveness and teaching quality. When a newly recruited teacher first arrives at the podium, his mathematical knowledge structure is not enough