A year-long study of an innovative approach to mathematics, which emphasized in-depth problem solving and achievement of automaticity through math games, found such methods to be viable for students with average and above average academic abilities, but students with learning disabilities or at-risk students need much greater assistance if they…

Addresses how the early childhood educator can develop mathematical concepts in the context of goals and standards set by the National Council of Teachers of Mathematics and simultaneously enhance literacy development. Includes suggestions for daily story time using children's books with strong mathematics and science connections, and for teaching…

Highlights from two new studies about teachers here and abroad: "Teaching Mathematics in Seven Countries: Results from the TIMSS 1999 Video Study" and "Preparing Teachers Around the World." (MLF)

Uses a discovery lesson for determining the area of an equilateral triangle given a side length as an illustration of how to introduce features of the TI-92 graphing calculator geometry package within a mathematical context. (KHR)

Illustrates the diverse ways in which the computer spreadsheet can be used by both teachers and students as a problem-solving tool in high school mathematics, and provides detailed examples of spreadsheet use in word problems. Discusses the functions of spreadsheet tables, columns, and graphs. (AEF)

Outlines a pair of projects used in introductory calculus that are inspired by techniques archaeologists use in the analysis of pottery. These real-world application problems appeal to students who are not necessarily interested in the standard application of calculus. (Author/DDR)

Shares the perspectives of two instructors of elementary statistics at the college level. Describes a course developed to increase statistics learning and student motivation to learn statistics by introducing writing into the course content. (DDR)

Presents three sets of polygons marked so that visually appealing designs emerge when the polygons are assembled into tessellations that cover the plane. Provides ideas for using the different sets of tiles in the classroom and reactions of the students who assembled the patterns. (AIM)

Examined how mathematical problems are articulated, i.e. identified and defined, in the context of a fifth-grade lesson on equivalent fractions. Notes that classroom discourse limited to serial tasks constrained students' opportunities to develop relational knowledge about the properties and principles of equivalent fractions. (38 references)…

Describes activities in which students perform experiments with physical models that they create. Students develop geometric intuition and build a concrete foundation upon which abstract principles can be built. (DDR)

Discusses the teaching of linear algebra with and without computer software. Considers class format with regard to computer usage, the effect of holding classes in the computer laboratory, homework, computer projects, and student responses. Appendices contain topic tutorials and sample computer projects. (DDR)

Based on research on the geometric understanding of regular and gifted middle school students, this article describes a procedure for assessing geometry readiness in mathematically able middle school students. The procedure utilizes the vanHiele model of stages of geometric understanding and distinguishes between readiness for algebra and…

Twelve open-ended questions, administered to 28 experienced elementary teachers and 26 education majors, examined mathematical content knowledge and related pedagogical knowledge by focusing on instructional decisions made in specific classroom situations involving whole number operations, fractions, and geometry. Results suggest that pedagogical…

Investigates students' understanding of the basic concepts of introductory set theory which are set, set element, cardinality, subset, and the empty set. Data was collected from preservice elementary school teachers. The project included experimentation with basic set concepts in an open computer-based environment using the mathematical computer…

Describes a Total Quality Management-based system of instruction that is used in a variety of undergraduate mathematics courses. The courses that incorporate this approach include mathematics appreciation, introductory calculus, and advanced applied linear algebra. (DDR)