On the instructional model of a blended learning program for developing mathematical knowledge for teaching

Abstract

Blended learning, which combines face-to-face workshops with self-directed online learning, is becoming a good alternative in designing and deploying professional development programs. The online component adapts to teachers' time constraints, requires fewer trained professionals for its implementation, and enhances participants' opportunities to engage in the exploration and visualization of mathematical concepts and ideas. Also, the face-to-face component of this instruction modality allows spontaneous communication and collaborative construction of knowledge in real settings. This paper describes the instructional model of Suma y Sigue, a b-learning professional development program for primary and middle school teachers, which has been designed and implemented in Chile since 2015, aimed at developing mathematical knowledge for teaching. A particular feature of the program is its high-degree of self-directed autonomous online learning. We discuss how contextualized situations are articulated to create a learning environment in which teachers get involved in a progressive construction of multiple components of this knowledge. We also describe the implementation of the program, discussing the effects of scaling in teachers' experiences, and also how the information gathered upon implementation has led to changes in the training of instructors and in the program's instructional design.