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.


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