The study of linear relationships is foundational for mathematics teaching and learning. However, students' abilities to connect different representations of linear relationships have proven to be challenging. In response, a computer-based instructional sequence was designed to support students' understanding of the connections among…

Advocates the educational theories of David Ausubel as a basis on which to build science and mathematics curricula and instructional procedures. Offers interpretations of Piaget's conservation tasks in Ausubelian theory. (CP)

Four kinds of understanding of mathematics are suggested: instrumental, relational, intuitive, and formal. Each type of understanding is described and illustrated. (MN)

Research on mathematics instruction is reviewed in order to respond to two questions: (1) Has the influx of talented people who have entered the mathematics instruction field over the last three decades changed anything? and (2) Will any of the work being done actually improve mathematics instruction? The different ways in which parents, students,…

Attempts to distinguish between the lecture method and the constructivist approach, in general, and by citing classroom scenarios. The author cautions those whose writing seems to unintentionally endorse traditional lecture and drill and practice methods. (MKR)