Emergences and affordances as opportunities to develop teachers’ mathematical content knowledge (original) (raw)

Developing Primary Pre-service Teachers\u27 Mathematical Content Knowledge During Practicum Teaching

2016

While it is recognised that a teachers’ mathematical content knowledge (MCK) is crucial for teaching, less is known about when different categories of MCK develop during teacher education. This paper reports on two primary pre-service teachers, whose MCK was investigated during their practicum experiences in first, second and fourth years of a four-year Bachelor of Education program. The results identify when and under what conditions pre-service teachers’ developed different categories of their MCK during practicum. Factors that assisted pre-service teachers to develop their MCK included program structure providing breadth and depth of experiences; sustained engagement for learning MCK; and quality ofpre-service teachers’ learning experiences

Developing Mathematical Knowledge for Teaching Teachers: A Model for the Professional Development of Teacher Educators

Issues in Teacher Education, 2014

What is needed to prepare teachers to effectively teach mathematics has been the subject of considerable debate for at least two decades (Brown, Cooney, & Jones, 1990; Conference Board of the Mathematical Sciences, 2001, 2012), with the focus shifting back and forth between the number of mathematics courses that teachers need to the mathematics content that teachers need to know (Ball, Thames, & Phelps, 2008). Building upon previous work related to teacher knowledge (Shulman, 1986), some researchers have reconceptualized mathematics content knowledge and have argued that teachers need to know not only the ways that mathematics is used in applied contexts and other professions, e.g., using percentages to compute amounts of discounts, but also the ways required exclusively for teaching, e.g., evaluating the validity of the mathematics in solution methods (Ball et al., 2008; Hill & Ball, 2004). Nevertheless, we know little about what mathematics teacher educators, the individuals who are primarily responsible for the mathematical preparation of teachers, should know. Building on our work as part of a two-year professional development project for mathematics teacher educators, and drawing from research

FEATURE ARTICLE At the Intersections of the Embodiment and Emergence for a Mathematics Teacher Educator

2016

ESEARCH IN MATHEMATICS EDUCATION and curriculum theory currently has a very limited set of intersections. Few education researchers claim to work in both fields. I draw on the work of those few researchers for my own understandings as a mathematics teacher educator. Now as a part of this small community, I continue to struggle with what it means to be a mathematics educator from a curriculum theorist’s perspective. In my journey and in my research, I have come to realize that mathematics is often perceived as an external truth, a fixed set of ideas, and based on that perception, mathematics pedagogy is proffered as basics-as-breakdown (Jardine, Clifford, & Friesen, 2003). As an alternative, I propose that a different way to consider mathematics education is to imagine how one can experience being in the world with mathematics. This being with idea emerged by reviewing two topics in particular: curriculum and the history of mathematics, which are central to my understandings of teach...

The development of beginning mathematics teacher pedagogical content knowledge

Journal of Mathematics Teacher Education, 2013

Recent research efforts (Schmidt et al. in The preparation gap: teacher education for middle school mathematics in six countries, MSU Center for Research in Mathematics and Science Education, 2007) demonstrate that teacher development programs in high-performing countries offer experiences that are designed to develop both mathematical knowledge and pedagogical knowledge. However, identifying the nature of the mathematical knowledge and the pedagogical content knowledge (PCK) required for effective teaching remains elusive (Ball et al. in

Mathematics Teachers’ Learning: Identifying Key Learning Opportunities Linked to Teachers’ Knowledge Growth

American Educational Research Journal, 2019

This study examines the role of several key features of professional development (PD) in bringing about changes in teachers’ mathematical knowledge for teaching. Artifacts (e.g., PD tasks, materials, and agendas) of the PD activities completed by 542 teachers in 21 different Mathematics and Science Partnership programs were coded based on the core features of PD identified in earlier literature. Multilevel analyses examined whether the programs’ focus on specific components of teacher knowledge (e.g., knowledge of mathematics teaching) and specific strategies for implementing the PD content (e.g., examining students’ work and solving mathematics problems) were related to gains in teachers’ mathematical knowledge. The results showed that a focus on curricular content knowledge and examining students’ work were significantly related to teachers’ learning. Implications for research and teacher education are discussed.