Proposes that the adoption of the notion that students should be taught so that they think like mathematicians leads to a number of enticing questions but ignores some important educational issues. Argues that a new course must be charted for mathematics education. (DDR)

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…

Raises a number of questions about knowledge generation from mathematics education and the nature of pedagogical information in the field. Considers two main activities within the realm of mathematics education: (1) pursuing investigations to improve instruction and (2) redefining the boundaries of mathematics as a subject. (DDR)

Suggests that the study of memory needs to be situated within broader conceptual and research contexts. Examines how four contexts accommodate memory phenomena: (1) knowledge; (2) comprehension; (3) context/function; and (4) strategy. Suggests that memories are best examined as knowledge structures resulting from efforts to understand, and that…

This paper considers what physics can offer students, both as physics majors and in other sciences. The recent increases in the technological character of the workplace appear likely to continue, leading to increasing numbers of individuals who should learn something about science. For many of these people, understanding the character of science,…

Argues that there are many kinds of understanding and many ways to reach these different understandings. Suggests that this is the reason why articulating general rules that can consistently lead to understanding is difficult. Discusses the relationship between brain structure and learning. (DDR)

This paper explores different aspects of multicultural science and pedagogy and describes a rich and well-documented branch of indigenous science known to biologists and ecologists as traditional ecological knowledge (TEK). Indigenous science relates to both the science knowledge of long-resident, usually oral culture peoples, as well as the…

Speculates about reasons for the lack of use of concept mapping as an instructional strategy. Concludes that the two main barriers to its extensive adoption are the epistemological beliefs of classroom teachers and the underlying philosophy of the curriculum. (Contains 45 references.) (DDR)

This paper focuses on the cultural aspects of research in mathematics learning. The shift to a more socio-cultural emphasis in mathematics education research is valid. The paper explores this point by examining challenges to the former research paradigm. These challenges include culturally-based mathematical knowledge and hidden values in…