The Mobius strip, torus, and Klein bottle are used to graphically and analytically illustrate the differences between orientable and non-orientable surfaces. An exercise/laboratory project using the non-orientable Boy surface is included. (Contains 11 figures.)

In this article, the author proves a theorem about polynomial zeros, but the focus is on how the theorem is integrated into a QuickBASIC computer program, and how that program answers the questions of the theorem--a unification of mathematics and computer programming. For a given polynomial, how can one overcome assorted problems in finding zeros…

This year, Congress is scheduled to review the No Child Left Behind Act (NCLB). In 2002, this law signaled an important change in federal education policy by focusing on accountability for results rather than simple compliance and by seeking to set the performance bar high for all children, regardless of where they live. The time is now to learn…

This document is a collection of activity-based mathematics lessons for grades 5-8 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

This research focuses on the graphics calculator in calculus and its impact on students' abilities to work with graphical, numerical, and symbolic representations. Three courses are compared, two of which are taught with less emphasis on the use of graphing calculators. The format of the course emphasizing calculator use is more traditional than…

This paper speaks to the challenges, risks, and rewards of teaching about linear functions in a technology-rich environment from a constructivist perspective by describing a Foundations of Algebra class, which was designed and taught to junior high school students in such an environment in the summer of 1991. The design and implementation of the…

This document consists of the 10 issues of "World Eagle" issued during the 1990-1991 school year. World Eagle is a monthly social studies resource in which demographic and geographic information is presented in the forms of maps, graphs, charts, and text. Each issue of World Eagle has a section that focuses on a particular topic, along with other…

This book is written to answer commonly asked homework questions of fourth, fifth, and sixth graders. Included are facts, charts, definitions, explanations, examples, and illustrations. Topics include ancient number systems; decimal system; math symbols; addition; subtraction; multiplication; division; fractions; estimation; averages; properties;…

The atlas offers a cartography of language functions, quantitatively measured in vitality rates, for Western Europe. The atlas has three parts: vitality by language; vitality by domain; and vitality by country. Eighty-three minority languages are covered. Domains considered include: global; religion; schools; mass media; administration; courts;…

This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…

This booklet offers teacher instructions and student worksheets on number activities for gifted primary grade students. Three sections are included: (1) "moving numbers" which asks students to supply the missing member or members of addition and subtraction equations; (2) "number trails," which involve the completion of number…

Using science experiments in life science, chemistry, and physics, helps ground students' understanding of abstract algebra concepts in real-world applications. Hands-on activities connect mathematics with science in a way that is accessible to teachers and students alike. Each activity explores a scientific phenomenon, connecting it to algebra…

The ability to think critically in the presence of arguments with essential quantitative elements, most often graphical elements, will become an essential skill for educated citizens in the future. This paper takes one specific graphical display, a narrow series of observational and interpretational tasks related to a graph, and using a small set…

This book is an outlined for the short study (1- to 2-weeks) of chronobiology, a field of science that explores the relationships between time and biological functions. It develops step-by-step the reasoning that leads to the current scientific understanding of biological rhythms. The unit can be inserted into a standard middle or high school…

The geography and the people of Asia are documented in this series of maps, tables, and graphs designed for classroom use as instructional materials with information about the countries, people, land, industries, trade, languages, religions, cities, food and agriculture, health, schooling, jobs, energy, industry, demographic statistics, and…