Reading outcomes at a national level have remained stagnant for more than two decades. One reason why is that the field has struggled with how to address poor reading comprehension when reading words is not the problem. Another is that limited insight into the causes of poor comprehension performance is offered by traditional reading comprehension…

The quadrilaterals problem is a particularly rich task, applicable to in-service teachers as well as to the students they teach. The ways in which students engage in this task, the strategies they use, and the mathematics that results align well with this "MT" Focus Issue on flexible mathematical thinking. The authors offer their observations of…

According to the authors, five years ago their school district embraced Understanding by Design as the organizing framework for curriculum. The emphasis on enduring understandings and essential questions led the sixth grade social studies teachers to reevaluate what they were teaching in their World History Curriculum. Together the authors worked…

This practice guide presents five recommendations intended to help educators improve students' understanding of, and problem-solving success with, fractions. Recommendations progress from proposals for how to build rudimentary understanding of fractions in young children; to ideas for helping older children understand the meaning of fractions and…

Curriculum top study (CTS) action research is a specific type of inquiry that combines curriculum topic study (Keeley 2005) with an examination of students' thinking using formative assessment probes (Keeley, Eberle, and Farrin 2005; Keeley, Eberle, and Tugel 2007; Keeley, Eberle, and Dorsey 2008; Keeley and Tugel 2009) and a variety of…

In this article, we highlight the need for a precisely defined construct in score-based validation and discuss the contribution of cognitive theories to accurately and comprehensively defining the construct. We propose a framework for integrating cognitively based theoretical and empirical evidence to specify and evaluate the construct. We apply…

First order knowledge and understanding, relating to the "stuff" of history, is, of course, absolutely fundamental to the development of children's historical knowledge and understanding. However, as Frances Blow shows, in a contribution to a series of articles exploring second order concepts in history published in Teaching History by…

The purpose of this paper is to focus on the nature of the thinking processes supporting pupils' construction and understanding of mathematical concepts. We assume that interaction with reality plays a crucial role in learning. In particular, human perception and action and, more generally, interaction with artefacts, are very important for…

This study examined the planning performance of children with attention deficits, and also investigated the possible interactions between inattention and anxiety in the performance of executive function tasks. A group of 98 children (grades 4 and 6), derived from an initial group of 550, were assigned to an attention difficulties group (AD) and a…