Developing Primary Mathematics Teaching: Reflecting on Practice with the Knowledge Quartet

Developing Primary Pre-service Teachers' Mathematical Content Knowledge During Practicum Teaching

“…MCK underpins the decisions made by teachers for students' learning and is a critical attribute of mathematics teachers' knowledge (Rowland, Turner, Thwaites, & Huckstep, 2009). The literature highlights the significance of different categories of MCK used to describe MCK (Ball, Thames, & Phelps 2008;Chick, Baker, Pham, & Cheng, 2006;Ma, 1999;Rowland et al, 2009).…”

“…The literature highlights the significance of different categories of MCK used to describe MCK (Ball, Thames, & Phelps 2008;Chick, Baker, Pham, & Cheng, 2006;Ma, 1999;Rowland et al, 2009). For example in the Knowledge Quartet (Rowland et al, 2009), foundation knowledge focuses on what teachers know and their beliefs about mathematics; foundation knowledge might be used when introducing a new topic to students or when recording a mathematical expression and concerns teachers' subject matter knowledge (Rowland, et al, 2009). Breadth and depth of subject matter knowledge relates to a teacher's capacity to connect a topic with topics and to make connections with topics of greater conceptual power (Ma, 1999).…”

Conocimiento Especializado del Profesor de Matemáticas acerca del Infinito

“…En el caso que nos ocupa, fueron especialmente útiles, ya que Aarón no había sido plenamente consciente de su interacción con el infinito durante su actividad docente, sólo lo había detectado en aquellos contextos donde éste era explícito (MONTES, 2015). Por tanto, la discusión de situaciones donde alumnos daban respuestas plausibles, pero inesperadas para él, ponían a Aarón en una situación de contingencia (ROWLAND et al, 2009) que le llevaba ISSN 1980-4415 DOI: http://dx.doi.org/10.1590/1980 a movilizar su conocimiento en modos que, posiblemente, no hubiera movilizado anteriormente.…”

Robert Wilkinson and Mary Louise Walsh (eds.). 2015. "Integrating Content and Language in Higher Education: From Theory to Practice. Selected Papers from the 2013 ICLHE Conference". Frankfurt am Main: Peter Lang. 341 pp. ISBN: 978-3-631-65726-3.

“…Drawing on Rowland et al's 'Knowledge Quartet' for Mathematics (2005, 2009, they designed a one-week course for teachers in the Master's. The authors conclude that experience in training two groups suggest that the key to success is to create the conditions in which trainees feel safe to use their English while at the same time provide remedial language work within an overall interdisciplinary framework emphasizing opportunities for realistic language and team teaching practice.…”