Two broad categories of instructional practices, (a) explicitly attending to concepts and (b) fostering students' opportunities to struggle, have been consistently linked to improving students' mathematical learning and achievement. In this article, we describe an effort to build these practices into a framework that is useful for a diverse set of…

The [National Council of Teachers of Mathematics] NCTM research committee made a recent, urgent call for mathematics education researchers to "examine and deeply reflect on our research practices through an equity lens." With this in mind, we use this paper to reflect on the ways in which Steffe's work has contributed to three facets of…

A problem identified in the literature around task design is the persistence of a gap between teacher intention and student activity. We show how principles designed around the making of distinctions and having an explicit language of mathematical thinking can eliminate the "gap" by guiding teacher planning, teacher actions in the…

The concept of a growth-oriented disposition framed the analysis of theoretical and practical dimensions of pre-service teachers' mathematics content knowledge. We identify historical hangovers, tacit habits, and pedagogical strangleholds that present challenges to the way mathematics education researchers interact with the mathematics content…

Researchers, policy officials, and the wider public in Japan and abroad often hold different views about the quality of Japanese education. Whereas Western researchers are attracted by the academic performance of Japanese students in international assessment studies, Japanese university professors launched a public debate in 1999 about declining…

Two related themes currently dominate discourse on open-access colleges, particularly community colleges: increasing college-going and degree attainment and improving the performance of postsecondary institutions with respect to producing graduates. Largely missing from this discourse, however, is cogency concerning the innumerable ways in which…

Metacognition is one of the promising contemporary research fields in psychology and education. The concept has been introduced to describe and explain how people gain control over their learning and thinking, particularly in the case of cognitive failures and difficulties they meet when dealing with information processing and problem solving…

The author reports the results of a study on the effectiveness of the Teacher Advancement Program in Chicago that contains performance-pay model pushed by the U.S. secretary of education Arne Duncan. The study by Mathematica Policy Research finds that student test scores were no better for schools following the national Teacher Advancement Program…

Although afterschool programs for children have been operating for decades in some communities, the afterschool movement--the great national awakening to the opportunity afterschool offers--is just a few years old. As public demand for afterschool has grown, so has the demand for accountability. That is particularly true in afterschool programs…

Self-efficacy, an individual's belief about his or her ability to engage in a task and accomplish it, has been investigated across multiple domains of human action. Students' perceived efficacy in school mathematics in particular, has been extensively explored by psychologists and educational researchers. We review literature from this field…

To reflect on the mathematics achievement of children engaging "Algebra and Analogies for Kids," the teacher researcher will explore the following inquiry: What happens when kids display analogical thinking in an algebra project? Specifically, the proposed study will examine the reasoning of five children in portfolios of best works and selected…

In their study in 1990, Clark and Isaacs identified five properties and seven defining features that distinguished between English ostensible and genuine invitations. To see if Persian ostensible and genuine invitations could be distinguished by the same features and properties, the present study was carried out. 45 field workers observed and…

As part of Alberta's provincial initiative, teacher-researchers in two Calgary school districts developed and field-tested quality indicators for assessment of student artwork and mathematical problem solving. The resulting qualitative materials depend on informed professional judgment and student involvement in self-assessment; celebrate…