In "Making Sense of Math," Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, shares her insight into how to turn your students into flexible mathematical thinkers and problem solvers. This practical volume concentrates on the following areas: (1) Making sense of math by fostering habits of mind that…

In this paper, it is argued that the failure of educational research to impact on practice stems from a failure to understand the nature of expertise in teaching, and that traditional models of knowledge transfer can only be effective for those at a relatively limited level of competence. Instead, it is suggested that teachers need to be involved,…

Examination of the development of the standards documents of the National Council of Teachers of Mathematics (NCTM) points to constructivism as the central view of learning that underlies the reform movement in mathematics education. Constructivism is a theory of how learning occurs. It assumes that knowledge is not passively received, but rather…

This response to EC 607 382 stresses the value of dialog between mathematics educators and special educators and raises three concerns about the standards of the National Council of Teachers of Mathematics (NCTM). Cognitive strategy instruction is recommended as an effective approach for teaching problem solving to students with disabilities. (DB)

Participants at a conference on mathematics teaching discussed what it means to know and understand a subject and what teachers need to know, understand, and believe in order to teach a subject to elementary learners. The first section of the report covers the first day of the conference that was spent in a series of whole-group sessions.…

This paper addresses the evidence that secondary school students use to imply that they understand something in mathematics. As part of a larger study, an open-ended questionnaire probing several aspects of metacognitive self-knowledge, was administered to students (N=72) in four schools. Two previously identified types of understanding were…

Discusses a new approach to mathematics education that moves away from methods that tell students what to do and toward methods that help students build mental representations of mathematical concepts. Contrasts the previous and emerging views and examines aspects of the new approach. (26 references) (MDH)

To be numerate is to be able to function mathematically in one's daily life. The kinds of mathematics skills and understandings necessary to function effectively in daily life are changing. Despite an awareness in Australia of new skills necessary for the information age and calls that the schools should be instrumental in preparing students with…