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Exploring Mathematics Teachers’ Pedagogical Content Knowledge in the Context of Knowledge of Students

机译:学生知识语境下的数学教师教学内容知识探索

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Functions are one of the basic topics taught in mathematics curriculum at Secondary school level requiring knowledge from the students’ past, and uniting mathematical topics. Mathematics teachers have both their own learning experience of functions, as well as their own teaching experience, leading to the question of what level of student knowledge teachers have related to teaching functions. In this way thirteen mathematics teachers participated in this current research. The research investigated student knowledge determined to be part of pedagogical content knowledge (PCK) by Shulman (1986) and accepted by a variety of researchers as a component of PCK. The teachers participating in the study may be counted as successful in knowing the preliminary knowledge of students and the difficulties and misconceptions experienced by students; however they were identified to be deficient in terms of knowing how to correct the errors and misconceptions experienced. It also appeared that school type and experience were not important factors. These results have significant implications for developing teaching practices and professional development of teachers.
机译:功能是中学数学课程中教授的基本主题之一,需要学生的过去知识,并将数学主题统一起来。数学老师既有自己的学习功能,又有自己的教学经验,这引发了一个问题,即学生的知识水平与教学功能有关。通过这种方式,十三名数学老师参加了当前的研究。这项研究调查了由舒尔曼(Shulman,1986)确定为教学内容知识(PCK)一部分并被各种研究者接受为PCK组成部分的学生知识。参加研究的教师可被视为成功了解学生的初步知识以及学生所遇到的困难和误解;但是,他们在了解如何纠正所遇到的错误和误解方面被认为是不足的。看来学校类型和经验也不是重要因素。这些结果对教师的教学实践和专业发展具有重要意义。

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