Mathematical Knowledge for Teaching: Components and Assessment
DOI:
https://doi.org/10.14456/educu.2023.4Keywords:
mathematical knowledge for teaching, mathematical knowledge, pedagogical content knowledge, teacher assessmentAbstract
Mathematical knowledge for teaching is the mathematical knowledge used to achieve the work of teaching. This article presents the components of mathematical knowledge for teaching, consisting of common content knowledge, specialized content knowledge, horizon content knowledge, knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. Consequently, these components are described in terms of meaning, characteristics, and examples. Specialized content knowledge, or the mathematical knowledge, skills, and processes unique to teaching, is shown through teachers’ behaviors when explaining conceptual and procedural knowledge in mathematics, selecting mathematical representation, and justifying the accuracy and reasonability of students’ mathematical tasks. In addition, some assessment questions of mathematical knowledge for teaching are presented in each of the components; as a result, mathematics teachers and educators can utilize these questions as a guideline for assessing the quality of mathematics teachers as well as developing and preparing preservice teachers.
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