Statistics education has begun to mature as a discipline distinct from mathematics education, creating new perspectives on the teaching and learning of statistics. This commentary emphasizes the importance of coordinating perspectives from statistics education and mathematics education through boundary interactions between the two communities of…

This commentary articulates the need to investigate problems of mathematics instruction at community colleges. The authors briefly describe some features of this often-ignored institution and the current status of research. They also make an argument for how investigations of instruction in this setting can both advance understanding of this…

This article examines 3 models for developing and analyzing culturally responsive teaching in mathematics teacher education. The models were developed from and are illustrated by findings from a series of exploratory research studies conducted to evaluate various methods for preparing preservice teachers to address the educational implications of…

Research on the impact of Standards-based, K-12 mathematics programs (i.e., written curricula and associated teaching practices) and of reform calculus programs has focused primarily on student achievement and secondarily, and rather ineffectively, on student attitudes. This research has shown that reform programs have competed well with…

Provides readers with information regarding the current political climate in the United States that is shaping federal funding for research in mathematics education. (Author/KHR)

Considers the potential of reform-oriented curricula to promote equity. Presents two studies in which middle school and high school teachers using reform-oriented mathematics curricula achieved a reduction in linguistic, ethnic, and class inequalities in their schools. Suggests relational analyses of equity as critical to go beyond the curriculum…

Explores challenges of learning to think about data as signal and noise. Examines the signal/noise metaphor in the context of three different statistical processes: (1) repeated measures; (2) measuring individuals; and (3) dichotomous events. Makes several recommendations for research and instruction on the basis of this analysis. (Author/KHR)

Discusses fairness and equity in mathematics assessment. Illustrates these issues with two studies of teachers' informal classroom assessment practices and their interpretation and evaluation of students' formal written mathematical texts. Indicates that different teachers could interpret similar work differently. Discusses and critiques…

Presents research produced by the Standard Impact Research Group (SIRG), a research agenda for studying the influence and impact of Principles and Standards for School Mathematics. (Author/KHR)

Investigates the arithmetical and algebraic problem-solving strategies and skills of preservice primary and secondary school teachers in Flanders, Belgium. Compares aspects of preservice teachers' own problem-solving behavior with the way in which they evaluated students' arithmetical and algebraic solutions to problems. Discusses teachers' use of…

Describes a novel assessment method used to examine Japanese and American teachers' ideas about what constitutes effective mathematics pedagogy. Evaluates American and Japanese mathematics lessons and classifies teachers' comments into over 1600 idea units. Suggests that U.S. teachers have culturally sanctioned options for teaching mathematics;…

Explores what is involved in the teacher's work of engaging students in producing a proof. Analyzes what teachers do to create a task in which students can produce a proof and what teachers do to get students to prove a proposition. Indicates that traditional, formal, two-column proofs place contradictory demands on teachers regarding how ideas…

Researchers are being exhorted to gather and analyze data for evaluating the efficacy of various instructional approaches and curricula in mathematics education. Addresses one of the fundamental notions in mathematics education research, the concept of evidence. (Contains 12 references.) (ASK)

One major issue in the field of mathematics education is what type or types of research should play the critical role. Describes major research categories and applications, and elaborates on the future of mathematics education research toward consensus and rapprochement in this area. (Contains 26 references.) (ASK)

Replies to Lerman, who presented Vygotsky as an irreconcilable opponent to Piaget's genetic epistemology and von Glasersfeld's radical constructivism. Argues that Lerman's stance does not reflect von Glasersfeld's opinion of Vygotsky's work, nor does it reflect Vygotsky's opinion of Piaget's work. Establishes compatibility between analytic units…