In this article, we analyze the complexity of using instructional dialogues in the teaching of mathematics. We trace a 10-lesson unit on functions and their graphs taught by Magdalene Lampert to a 5th-grade classroom. We use this trace to help analyze and systematize the complexity of the classroom discourse. Analysis shows that Lampert's…

Examined how varying levels of geographic expertise facilitated reasoning with maps as representations of the earth's surface. Found that geography experts performed significantly better than novices and preservice teachers, and experts' performance was differentiated by the reasoning in which they engaged. Explored implications for understanding…

Examines guessing as a heuristic for problem-solving presented in a taped lesson by George Polya. Analogical models transformed a complex problem to a simpler one and maintained problem identification. Instructional explanations fulfilled two goals simultaneously: (1) teach students how to use guessing as a problem-solving strategy to solve the…

Compared reading practices of historians reading highly familiar texts with those reading familial but unfamiliar texts. Found that:(1) historians read intertextually, using general document-reading knowledge, including identification and interpretation schemata; (2) general knowledge interacts with topic-specific expertise; (3) identification and…