Noticing is a momentary act. Enriching the possibility of noticing something specific in the future marks the beginning of an action labelled "professional development". Thus, what happens as a result of noticing is what matters for the teacher, but what really matters is what happens for the learner. Whether something noticed enables a…

While the development of creativity, or creative thinking, in mathematics is considered important by many researchers, there are several difficulties in implementing creative tasks, especially before secondary school. Within the original context of a mathematical escape game, this paper reports two episodes exemplifying the difficulties met by…

In this chapter, we focus on the difficulties children face when learning place value and how current psychological theories of relational learning may be leveraged by teachers. We discuss two major psychological mechanisms known to support relational learning--statistical learning and structure mapping--and review the evidence showing how these…

Since Emmett Betts first devised a framework of independent, instructional, and frustration reading levels in the 1940s, these levels have played a large role in classroom assessment and instruction. It is important for teachers to have a deep understanding of the research that supports the reading level framework. This article identifies four key…

Although the drop-out problem is particularly acute at the community college, there is very little research on student attrition that is specific to community colleges. Differences between the community college and four-year institutions stems are accented by entrance requirements that are traditionally much more rigorous at traditional colleges…

Sociocultural theory is increasingly popular as a paradigm for research in education. A recent member in this family of theories is introduced--cultural-historical activity theory (CHAT)--that shows much promise to complement and invigorate the field of educational change, a large, multi-faceted, and persistent problematic. In particular,…