In this article, the author asserts that asking and responding to diagnostic questions is the single most important part of teaching secondary school mathematics. He notes the importance of formative assessment and recommends a formative assessment strategy that requires students to be public about their answers to questions, displaying their…

Black, Wilson, and Yao (this issue) commendably attempt to put descriptive theory at the center of pedagogy, assessment, and curriculum. The thrust of their article is that only through theories of learning will student progression be properly understood. Casting a critical eye over the faddish distinction between "formative" and "summative"…

In Volume 35, Issue 1 of the "Australasian Journal of Special Education," Carter, Stephenson and Strnadova (2011) replicated a study by Burns and Ysseldyke (2009). In Carter et al.'s study, 194 Australian special educators were asked to rate the extent to which they used eight instructional practices. These practices were applied…

Black, Wilson, and Yao (this issue) lay out a comprehensive vision for the way that learning progressions (or other "road maps") might be used to inform and coordinate formative and summative purposes of assessment. As Black, Wilson, and others have been arguing for over a decade, the effective use of formative assessment has great potential to…

Pre-service teachers face many challenges as they learn to teach in ways that are different from their own educational experiences. Pre-service teachers often enter teacher education courses with pre-conceptions about teaching and learning that may or may not be consistent with contemporary learning theory. To build on preservice teachers' prior…