This study endeavors to illustrate how research on the professional development of mathematics teachers can help to enhance and nurture the professional knowledge of mathematics teacher educators (MTEs), thus becoming a potential source of professional growth for MTEs. To achieve this, a professional task was administered to 38 prospective secondary teachers from two Spanish public universities to explore their level of development in professional noticing. Specifically, the study focused on their skill of attending to children’s strategies in relation to transformations between semiotic representations as well as their awareness of the role of the semiotic register in task design. Drawing from the responses provided for the task, we offer a range of insights regarding expected or desirable Pedagogical Content Knowledge (MTEPCK) aimed at fostering the development of professional noticing, such as several challenges to be overcome by pre-service teachers or the identification of three potential levels of progression in their skill to attend to children’s strategies.
Resumen Este trabajo revisa y recoge algunas de las aportaciones más relevantes y recientes en torno a la problemática que suscita la conceptualización de la naturaleza y organización del conocimiento profesional del formador de docentes de matemáticas, un gran reto para la comunidad investigadora en educación matemática. A través de una búsqueda en la base de datos Web of Science y tras una primera selección de trabajos científicos, exponemos los fundamentos teóricos de tres modelos distintos de conocimiento del formador: la tríada extendida, el MKTT y el modelo de Escudero-Ávila, Montes y Contreras (2021) para, posteriormente, realizar un análisis comparativo. Las conclusiones apuntan hacia un metaconocimiento de naturaleza compleja el cual permite articular tres niveles anidados – tarea matemática, alumno y profesor – así como se señala su especificidad, con subdominios que son propios y exclusivos del formador, aunque se evidencia un énfasis e interés notable en el conocimiento del contenido matemático y didáctico del contenido.
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