Mathematical knowledge for teaching (MKT) is a professional knowledge crucial for effective mathematics instruction, encompassing both content knowledge (CK) and pedagogical content knowledge (PCK). The purpose of this study is to investigate the hierarchical structure of PCK for fractions by seeking further evidence for the PCK-Fractions…

Although the importance of field experience is supported and attended to by teacher education programs across the United States, there have been numerous national reports and research findings stressing the need for major improvements in the preparation of teachers with an emphasis on more authentic experiences. Quality field experiences have the…

During 3 field experience visits, 23 elementary preservice teachers implemented mathematical problem-solving tasks with grade 3-6 gifted students. Researchers investigated what the teachers learned about gifted students regarding student characteristics, mathematical problem-solving tasks, and pedagogy. Each teacher completed a pre- and…

This paper describes an effort to provide prospective teachers opportunities to better understand African American male students and better focus on how they learn mathematics. Prospective teachers spent 15 hours over an eight week span mentoring and tutoring African American males without the guise of practicing teachers. Qualitative data drawn…