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ASSESSING TEACHERS' KNOWLEDGE OF TEACHING MATHEMATICS
This project is being led by Nicki Kersting (Graduate School of Education and Information studies, UCLA).
Project Summary
Over the last two decades, the understanding about
what kind of knowledge teachers need to have to provide quality
mathematics instruction to their students has increased substantially.
However, surprisingly few instruments have been developed to measure
such knowledge reliably. One of the reasons is the complex and
multi-dimensional nature of knowledge relevant to teaching. Teachers'
knowledge integrates mathematical content, pedagogical strategies to
teach specific content, knowledge about students, knowledge about how
students learn, as well as knowledge of typical student mistakes and
misconceptions.
The goal of this project is to present a novel approach to measuring
teacher knowledge relevant to teaching mathematics through the analysis
of video clips of authentic classroom instruction and to investigate
the reliability and validity of such approach. The hypothesis
underlying this study assumes that teachers' ability to analyze
classroom instruction is reflective of teachers' knowledge of teaching
mathematics.
The developed instrument, which is available over the Internet using
LessonLab software, consists of a set of video clips featuring
authentic teaching events. Teachers are asked to view each clip and to
analyze how the teacher interacted with the students and the
mathematical content in each clip. Teachers' written responses are
saved in a secure database and later retrieved for coding and scoring.
Reliability of the assessment will be estimated using item response
theory. To investigate the validity of the instrument, teachers are
asked to complete a criterion assessment that measures teachers'
pedagogical content knowledge as well as a teacher background
questionnaire. Finally, for a subset of teachers, an expert judgment
will be obtained that reflects teachers' knowledge of teaching
mathematics.
Other Network Research...
PIER Project
Linking Lesson Planning and Analysis
Slowing Down Teaching
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