Matthew Madison

In this project, the researchers will develop a diagnostic measure of content and pedagogical content knowledge of numbers and operations for elementary school teachers. Despite the agreement across teacher educators on the importance of teacher content and pedagogical content knowledge in creating meaningful learning opportunities for students, many existing assessments of teacher knowledge have not been designed to capture the key elements of these knowledge components, particularly pedago...

Diagnostic classification models (DCMs) can provide useful information about students' strengths and weaknesses in an academic domain beyond the norm-referenced or percentile results typically achieved through item response theory. DCMs, however, need to be able to accommodate the multilevel framework in which most education takes place, or they run the risk of providing substantially inaccurate results. The purpose of this project is to develop and make accessible to applied researchers a m...