Specific learning experiences to help preservice teachers become aware of curricular issues are described. They include motivating textbook analyses, making creative reading assignments, and providing time for presentation and discussion of issues. A mathematics textbook scavenger hunt form is given. (MNS)

Stresses that powers are all based on geometric progressions which start at unity. Various patterns are discussed. (MNS)

This chapter examines the scope of the mathematical content educators expect students to understand after they have participated in mathematics courses. It is organized under four headings: (1) Traditional School Mathematics, to clarify what the shift is away from; (2) Mathematics as Human Activity, to portray the direction the shift is toward;…

The main goal of this review was to identify mathematics and science curricula as well as professional development models at the middle and high school levels that had been deemed effective based on their success in increasing student achievement. Because of its emphasis on student achievement, this approach differs from that typically used at the…

There is a significant gap between theories of general psychological functions on one hand (e.g., memory) and theories of mathematical content knowledge on the other (e.g., content of algebra). To better guide the design of ground breaking and demonstrably better mathematics instruction, we need instructional principles and associated design…

This paper examines to show how an investigative approach to mathematics teaching can honor its two important dimensions--a thinking and reasoning side to go with the skill development. The paper addresses the question of why a problem solving approach has failed, makes the case for investigations as an overarching organizer, and discusses the…

This essay reports on the current state of mathematics education in South Africa. It describes visiting schools and universities and reports on the views of various members of South Africa's mathematical community. Exchanges with students during classroom visits are also presented. (MM)

Increasing numbers of mathematics educators, policy makers, and researchers believe that algebra should become part of the elementary education curriculum. Such endorsements require careful research. This paper presents the general results of a longitudinal classroom investigation of children's thinking and representations over two and a half…

In 1992, the U.S. Department of Education awarded three-year grants to five states and the District of Columbia for the development of curriculum frameworks in mathematics or science for grades K-12 together with new approaches to teacher education, certification, and professional development. This final report on the Dwight D. Eisenhower State…

This CD-ROM is intended to serve as a resource for those concerned about educational equity related to K-12 mathematics and science education. Information on the content and structure of the CD-ROM are presented initially. The content information contains the theoretical underpinnings of the issue of equity in the school setting. Stories and case…

The purpose of this document is to assist district and state level people in developing new science and/or mathematics curriculum frameworks and/or revising existing frameworks. This analysis tool is intended to stimulate discussion among state and local groups about potential components of a curriculum framework and to assist in the process of…

To set goals and make informed choices, students need an array of thinking and problem-solving skills. Fundamental to this is an understanding of mathematical techniques and processes that will enable them to apply the basic skills necessary to address everyday mathematical situations, as well as acquire higher order skills in logical analysis and…

This book, with accompanying CD-ROMs, was written to help readers understand children's intuitive mathematical thinking and use that knowledge to help children learn mathematics with understanding. Based on more than twenty years of research, this book portrays the development of children's understanding of basic number concepts. Detailed…

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…