This book illustrates the breadth of theoretical and philosophical perspectives that can be brought to bear on mathematics and education. Part 1, "Reconceptualizing the Philosophy of Mathematics," contains the following chapters: (1) "Fresh Breezes in the Philosophy of Mathematics" (R. Hersh); (2) What Can the Sociologist of…

This yearbook contains essays that examine the construction of knowledge. The 10 articles, which are called "opinions," are divided into 5 sections, most of which examine the construction of scientific knowledge. An editor's introduction begins each section. Section 1, "Constructivism as an Epistemology and Philosophy of…

This monograph represents 5 years of collaborative discussions among individuals interested in improving the teaching and learning of mathematics beginning in 1985 with the planning of a conference and culminating in the production of this collection of 13 papers to be presented at the conference. Chapters include: (1) an introduction…

Higher order thinking skills are inevitably developed or exercised relative to some discipline. The discipline may be formal or informal, may or may not be represented in a school curriculum, or relate to a wide variety of domains. Moreover, the development or exercise of thinking skills may take place at differing levels of generality. This paper…