The authors comment on Porter, McMaken, Hwang, and Yang's recent analysis of the Common Core State Standards for Mathematics by critiquing their measures of the focus of the standards and the absence of an assessment of coherence. The authors then consider whether the standards are an improvement over most state mathematics standards by discussing…

Indicates the range of purposes and variety of settings in which design experiments have been conducted, delineating five crosscutting features that collectively differentiate design experiments from other methodologies. Clarifies what is involved in preparing for and carrying out a design experiment and in conducting a retrospective analysis of…

Describes an analytic approach for situating teachers' instructional practices within the institutional settings of their schools and districts, examining an ongoing collaboration with urban teachers to illustrate the approach and its usefulness in guiding the development of analyses that inform such collaborations. The approach involves…

Expands the debate over the conflicts between cognitive theory and situated learning from theoretical considerations, to include concerns of educators engaged in classroom-based research and instructional design in collaboration with teachers. Considers the treatments of meaning and instructional goals from the perspectives of cognitive theory and…

Argues that mathematical learning should be viewed as a process of active individual construction and a process of enculturation into the mathematical practices of wider society. It further argues that the sociocultural perspective theorizes the conditions for the possibility of learning, whereas constructivist perspectives focus on what students…

Comments on Erick Smith's proposed knowing/knowledge distinction, and clarifies a possible ambiguity in the present author's use of the term "constructivism." The article distinguishes between Piagetian-based psychological constructivism as outlined by Smith and the author's version of constructivism. (GR)