How might mathematics educators recognize discourses as resonating harmonies in their practices as researchers? In this paper we share individual experiential narratives guided by Ojibway author Richard Wagamese's Medicine Wheel teachings in the four directions of East (humility), South (trust), West (introspection), and North (wisdom). As we…

The NCTM Research Committee identifies key influences on mathematics education that are largely outside the domain of the academic world in which most mathematics education researchers live. The groups that are identified--including the media, companies and foundations, and other academic domains--affect the public's perception of mathematics and…

Erich Christian Wittmann is one of the primary founders of mathematics education research as an autonomous field of work and research in Germany. The interview presented here reflects on his role in promoting mathematics education as a design science. The interview addresses the following topics: (1) The importance of subject matter in…

In this article we consider data arising from student-teacher-researcher interactions taking place in the context of an experimental teaching program making use of multiple modes of communication and representation to explore three-dimensional (3D) shape. As teachers/researchers attempted to support student use of a logo-like formal language for…

The authors respond to the commentaries on a series of articles (in the March 2009 issue of "Educational Researcher") that discuss the challenges associated with measuring reading instruction. The authors argue that the teaching of reading is a complex, multifaceted phenomenon best studied through a variety of overlapping and complementary…

Within the context of a multilayered prevention system, responsiveness to intervention (RTI) integrates increasingly intensive instruction and, at each layer, employs assessment to identify students who are inadequately responsive and who therefore require intervention at the next, more intensive layer in the system. Over the past decade, RTI has…

Discusses mathematics education research at the college level, including the nature of the field, a brief history, theoretical perspectives, methodology, a potpourri of studies, implications for teaching, where research is published, and who does this research. (54 references) (MKR)

The focus in this report is the concept of what it means to "do mathematics" in the context of a group working committee of teachers and researchers committed to reforming mathematics teaching. During a regular meeting of this group of teachers and researchers, the participants explored the mathematical reasoning embedded in one…