A teaching model is a distinct set of ordered steps or phases created to achieve certain outcomes. These outcomes are different for different models, although some similarities exist among certain models, thus permitting the formation of model "clusters." These clusters or families include the information processing family, personal family, social…

Constructivist epistemologies have been instrumental in recent research on mathematics learning and have provided a basis for recent mathematics education reform efforts. Although constructivism has the potential to inform changes in mathematics teaching, it offers no particular vision of how mathematics should be taught; models of teaching based…

Introduces the constructivist theory of mathematical learning, and illustrates its application in a curriculum focusing on fundamental concepts. How knowledge is constructed, how concepts mature, and what it means to learn and to know mathematics are presented. Pedagogical implications of adopting a constructivist perspective on knowledge and…