This paper gives a brief introduction to a discipline called the cognitive science of mathematics. The theoretical background of the arguments is based on embodied cognition and findings in cognitive linguistics. It discusses Mathematical Idea Analysis, a set of techniques for studying implicit structures in mathematics. Particular attention is…

This paper offers an argument for the return to a consideration of the basic issues in mathematics education research in order to better understand the mechanisms of mathematics learning. A return to these basic issues can also shed light on the difficulties students encounter in learning mathematics. In organizing the argument, three kinds of…

Addresses the question of what bearing the nature of educational theories has on their application to practice and focuses on the application of normative goal-directed theories of science education. Contains 40 references. (DDR)

In response to an article in the same issue by Norris and Kvernbekk, argues that the theory of Driver and associates, elaborated upon in the three articles which form the basis for their analysis, is not a normative goal-directed theory. (DDR)

Identifies certain conceptions regarding the science content studied by students aged 9-11 years and develops a strategy for altering these conceptions. Reviews research on misconceptions and defines action research. (DDR)

This paper focuses on some main distinctions that are necessary to analyze mathematical knowledge from a learning point of view and explain how many students come up against difficulties at each level of the curriculum. From a learning point of view, visualization cannot be used as an immediate and obvious support for understanding, even though it…

Schools are professional work groups requiring the application of professional knowledge to constantly shifting educational challenges as adults work to help students learn. This paper describes a theory of professional visualization through which principals can make their professional practice consistent with their knowledge, values, and…

Interest in mathematics learning that focuses on understanding, mathematical reasoning, and meaning-making underscores the need to develop ways of analyzing classrooms that foster certain types of learning. The goal of this paper is to show that the constructs of social and sociomathematical norms, which grew out of taking a symbolic…

This monograph discusses the state of female-friendly science using phase theory to explain its evolution. Eight chapters provide insight and raise questions on topics such as curriculum integration, the consequences of ignoring gender and race in group work, the experiences of single-sex coeducational institutions for women and science, gender…