Using Delphi methodology to design assessments of teachers' pedagogical content knowledge

Descriptions of methodologies that can be used to create items for assessing teachers' professionally situated knowledge are lacking in mathematics education research literature. In this study, researchers described and used the Delphi method to design an instrument to measure teachers' pedagogical content knowledge. The instrument focused on a specific area of middle school geometry and measurement, decomposing and recomposing figures in 1-D and 2-D. The Delphi methodology used included three rounds of surveys of a diverse panel of 20 experts. The data analysis and data collection were done reflectively. Initial items were developed based on the research literature in the field of geometry education and teacher knowledge. New categories for the analysis emerged from the data and were used to complete the analysis. Consensus among the experts was reached after the third round of surveys, producing the assessment instrument. The researchers described strengths and limitations of this methodology for designing assessment tools of teachers' knowledge. The researchers suggested that Delphi methodology could also be used to design and validate broader instruments related to other types of professional knowledge of teachers in different fields.