The study reported in this article investigated the appropriateness of Mathematical Knowledge in Teaching of three pre-service primary school teachers (PSTs), teaching an informal statistical inference (ISI) lesson to primary school students. Using an ISI framework and the Knowledge Quartet framework, the presence and appropriateness of the PSTs'…

Comparative education scholars are often sceptical of teaching effectiveness research that compares 'teaching quality' using systematic classroom observation systems across nations. This article investigates how three international observation systems designed for comparative use, and studies that apply them, attend to three concerns intrinsic to…

This study combines the Japanese lesson study approach and mathematics teachers' professional development. The first year of a 4-year project in which 3 Dutch secondary school teachers worked cooperatively on introducing making sense of the calculus is reported. The analysis focusses on instrumental and relational student understanding of…

In the Netherlands, the "iceberg model," developed by the Freudenthal Institute, has been used to support teacher identification of informal and preformal representations that build students' understanding of formal mathematics. This article offers suggestions on how this model can be used to support professional development,…

The definition of "English language classroom" is changing. When students have the opportunity to learn content and language at the same time, disciplinary boundaries overlap. Teachers are rethinking how they design courses, plan lessons, assess students, and collaborate with colleagues to support student learning and facilitate their…