The goal of this thesis was to investigate and enhance our understanding of what occurs while pre-service mathematics teachers engage in a mathematical modeling unit that is broadly based upon mathematical modeling as defined by the Common Core State Standards for Mathematics (National Governors Association Center for Best Practices & Council…

A key issue of cognitive diagnostic models (CDMs) is the correct identification of Q-matrix which indicates the relationship between attributes and test items. Previous CDMs typically assumed a known Q-matrix provided by domain experts such as those who developed the questions. However, misspecifications of Q-matrix had been discovered in the past…

This study analyzes the uses of real-world contexts in mathematics lessons in the classrooms of four teachers across two school years at an urban high school. Drawing upon a framework of culturally relevant mathematics pedagogy, this dissertation focuses on how real-world contexts are connected to teaching mathematics for understanding, centering…