Summarizes a simple design algorithm which identifies nested loops of equations which must be solved by trial-and-error methods. The algorithm is designed to minimize such loops, provides guidance to the selection of variables, and delineates the order in which systems of equations are to be solved. Examples are included. (TW)

Ten activities that give learners in grades 5-8 a chance to explore mathematics with calculators are provided. The activity cards involve such topics as odd addends, magic squares, strange projects, and conjecturing rules. (MNS)

Offers a way of teaching quantitative thinking through a software program called, "Hot Dog Stand." This simulation provides students with practice in planning expenses, in computing problems, and in dealing with a situation in which outcomes depend on random events. Also includes suggestions for computer use during non-scheduled time. (ML)

Discusses several recommendations for the mathematics curriculum, focusing on problem solving, understanding, several content topics, and topic integration and placement. Groups that influence the curriculum, and ways they can do so, are also discussed. (RH)

The federal government assists students and their parents in meeting the costs of postsecondary education through two student loan programs, the Federal Family Education Loan Program and the William D. Ford Direct Loan Program. Although the two programs provide similar benefits to borrowers, their structures and operations differ greatly. As a…

This study investigated the fluency with which first-graders with strong, moderate, or weak mathematical abilities apply the decomposition-to-10 and tie strategy on almost-tie sums with bridge over 10. It also assessed children's memorized knowledge of additions up to 20. Children's strategies were analysed in terms of Lemaire and Siegler's model…

In this report we present preliminary results of a study on the relationship between informal out-of-school and formal in-school mathematics and the ways each can inform the other in the development of new mathematical knowledge, in this case concerning computation in base 12, 24 or 60. This study is based on a teaching experiment involving a…

A Case Study is presented in this article, where there is a contradiction between pre-algebraic language semantic and syntax used to solve word problems through a negative integers subtraction. Appendix includes answer key. (Contains 1 figure.) [For complete proceedings, see ED500859.]

This paper shows how the concept of general objectivity can be used to improve behavioral science measurement, particularly as it applies to the Lexile Framework, a tool for objectively measuring reading comprehension. It begins with a dialogue between a physicist and a psychometrician that details some of the differences between physical science…

Computer games and tutorials for young children are reviewed. These include mathematics and language games, alphabet and number/counting primers, music games, and an arcade game. Program name, format, language, current price, manufacturer, and description are provided for each program reviewed. (JN)

Experiences with complex numbers and graphical representations of them are discussed, with a program for a microcomputer. (MNS)

Preparing and negotiating the Office of Management and Budget (OMB) Circular A-21 short form is discussed along with Section H in both general and specific areas, including supporting documentation, adjustments and reclassifications. This discussion is designed to assist all institutions to better prepare, document, and negotiate indirect costs…

While most elementary teachers experience little difficulty using the decimal system for whole numbers, many do not have the desired depth of understanding for teaching the system. The focus of the material is stage-by-stage creation of a hypothetical numeration system. (MP)

Two grade 4 classes provided subjects for a study in the teaching of estimation in computation. A second study was conducted with two grade 5 and two grade 6 classes that supported the idea that estimation in whole number computation can be taught in a short period of time. (MP)

Presents a series of policy recommendations for mathematics education in the 1980s from the National Council of Teachers of Mathematics. The emphasis is on problem solving and computer literacy as part of the education of every student. (SA)