This book contains articles that help to further the process of reform in the middle grades, recognizing that the knowledge acquired during these years greatly affects how well the secondary school curriculum will attain its goals. Critical issues facing middle grade classes in particular and all mathematics classrooms in general are discussed.…

This volume contains the proceedings of the International Conference on Technology in Mathematics Education (TIME 2000). It includes papers, posters, and short oral reports. Research papers include: (1) "Implications of the Shift from Isolated Expensive Technology to Connected, Inexpensive, Ubiquitous and Diverse Technologies" (Jim…

This book is a collection of articles by experienced educators and explains why and how discrete mathematics should be taught in K-12 classrooms. It includes evidence for "why" and practical guidance for "how" and also discusses how discrete mathematics can be used as a vehicle for achieving the broader goals of the major…

The third volume of the 24th annual conference of the International Group for the Psychology of Mathematics Education contains full research report papers. Papers include: (1) "Mathematics classrooms functioning as communities of inquiry: Possibilities and constraints for changing practice" (Susie Groves, Brian Doig, and Laurance Splitter); (2)…

This report describes a research project that investigated how to design instruction to help children take the step to generalizing and formalizing their knowledge into powerful abstract systems for representing and operating mathematical ideas. The studies build on existing research on cognitively guided instruction (CGI). The goal of this paper…

Suggests that, for some classes of functions, an algebraic method is available that provides a nonstandard application of the discriminant conditions as well as an exact method of optimization for precalculus students. Examples are given, and students should compare these methods with others regarding generality, ease, and efficiency. (AIM)

Presents an overview of the 6-8 Standards and their rationale. Demonstrates the need for a cohesive mathematics curriculum. (YDS)

This article presents problems to challenge students over and above the standard curriculum problems assigned at a Course I level. Every additional problem in the article can be solved using only the tools provided by Course I. (AIM)

Establishes six levels from an inductive proof to an algebraic demonstration on the bases of three axes in lower secondary school mathematics. Examines the meanings of demonstration and proof in lower secondary school mathematics and shows the relationships between them. Illustrates the discussion with a seventh grade student's activities.…

The Interactive Mathematics Program is part of a National Science Foundation effort to design a comprehensive, standards-based high school mathematics curriculum. IMP's four-year program, which replaces the traditional sequence, involves little memorization, integrates traditional material with topics such as probability and statistics, and uses…

Argues that technology influences mathematics education by enabling students and teachers to discover and demonstrate generalizations and properties that were unthinkable a few years ago. Focuses on one example related to a paradox involving parabolas. (DDR)

Offers a matrix to assist mathematics-curriculum planners and teachers around the world in developing multicultural learning materials. Contains 22 references. (ASK)

This standards document begins with a brief introduction and overview outlining and explaining a vision for mathematics teaching and learning in South Dakota, the purpose of the document, and the structure/organization of the document. Goals, rationales, and indicators for South Dakota Mathematics are also listed along with the South Dakota…

Discusses how different meanings can be given to the proof at different levels and branches of mathematics education. (ASK)

Presents an activity that illustrates the application of mathematics to modern navigation and utilizes the Global Positioning System (GPS). GPS is a constellation of 24 satellites that enables receivers to compute their position anywhere on the earth with great accuracy. (DDR)