The NCTM Research Committee invited Richard Lesh, instrumental in the founding of the NCTM Research Presession, to join the members of the current Research Committee in reflecting on its formation, the hopes he and others had in mind when they started it, and the current state and future of research in the field.

In many STEM-related fields, graduating doctoral students are often expected to assume a postdoctoral position as a prerequisite to a faculty position, yet there is no such expectation in mathematics education. This phenomenon is likely due in large part to an abundance of faculty positions; however, it may also result from the field's…

n a recent article, Inglis and Alcock (2012) contended that their data challenge the claim that when mathematicians validate proofs, they initially skim a proof to grasp its main idea before reading individual parts of the proof more carefully. This result is based on the fact that when mathematicians read proofs in their study, on average their…

This dialogue, extracted from a conversation among some members of the Equity Special Issue Editorial Panel, concerns racism in mathematics education. It raises issues about the use of various terms; about fields of research outside of mathematics education; and about the kinds of racialization processes that occur for students, teachers, and…

This dialogue, also extracted from a conversation among members of the Equity Special Issue Editorial Panel, involves the role of a researcher's position in mathematics education. It raises issues about the non-neutrality of research; the relationship between a researcher's identity and the design, analysis, and conclusions of a research…

This Research Commentary builds on a 2-stage literature review to argue that there are 4 obstacles to making a sociopolitical turn in mathematics education that would allow researchers to talk about race and ethnicity in ways that take both identity and power seriously: (a) the marginalization of discussions of race and ethnicity; (b) the…

This Research Commentary addresses the need for standards for describing mathematics professional development in mathematics education research reports. Considering that mathematics professional development is an emerging research field, it is timely to set expectations for what constitutes high-quality reporting in this field. (Contains 2 tables.)

This "Research Commentary" explores the roles of theoretical and empirical work in the development of productive lines of research by elaborating on 3 main points. First, the dialectic between theory and empirical practice is highly productive for both: Theory is enriched by close attention to data, and one's understanding of empirical issues is…

Currently, there are more theories of learning in use in mathematics education research than ever before (Lerman & Tsatsaroni, 2004). Although this is a positive sign for the field, it also has brought with it a set of challenges. In this article, I identify some of these challenges and consider how mathematics education researchers might think…

Recent federal education policies and reports have generated considerable debate about the meaning, methods, and goals of "scientific research" in mathematics education. Concentrating on the critical problem of determining which educational programs and practices reliably improve students' mathematics achievement, these policies and reports focus…

The author responds to the recent work of Kaminski, Sloutsky, and Heckler (2008) and advances two major concerns about their research and its applicability to learning mathematics: a confounding variable that arises from the mathematical differences between the generic examples and concrete examples poses a threat to the construct validity of the…

There are three articles in this month's "Research Commentary" section. Analyses of disparities in students' mathematics experiences and outcomes are an essential part of efforts to promote equity. Scholars concerned about equity should not write off such analyses as mere "gap gazing." Research on gaps between underserved groups and their more…

In this rejoinder, the authors further detail their positions on the role of gaps analyses in mathematics education research as outlined in the previous 2 articles. They clarify areas of agreement and probe areas of disagreement, focusing on the benefits and dangers they see in either emphasizing educational disparities between groups or shifting…

In this rejoinder to Baroody and colleagues (2007), I point out that there are several areas of agreement between my position and that of Baroody et al.--most notably that both procedural knowledge and conceptual knowledge are of critical importance in students' learning of mathematics. However, there are issues on which Baroody et al. and I do…

The purpose of this article is to sketch a hypothetical descriptive framework of statistical knowledge for teaching. Because statistics is a discipline in its own right rather than a branch of mathematics, the knowledge needed to teach statistics is likely to differ from the knowledge needed to teach mathematics. Doing statistics involves many…