Describes a mathematics history project to incorporate research skills with discovering the origins of familiar mathematical concepts. Uses a personal letter from a mathematician about a discovery. (KHR)

Proposes a word problem concerning placing students around triangular tables. Students must determine how to place the touching tables so that everyone can be seated. (KHR)

Explores teaching methods to improve students' understanding of quantitative chemistry and their ability to solve related problems using the Multidimensional Analysis System (MAS). Investigates the relationships between MAS-classified chemistry problems and student achievement in solving these problems. Shows that improvement in student…

Investigated the effects of email conversations between teachers and students on learning graphing in ninth grade classrooms. Compares students who used software with students who used software with email, and discusses results which showed email use led to better performance on graph interpretation and construction and on students' ability to…

The concepts of number sense and numeration, operations, and whole-number computations and their importance are discussed. Activities cover developing concepts of operations, exploring patterns and relationships, and building an understanding of mathematical structure. (KR)

A 2-year project helped Supai Middle Schools (grades 7-8; enrollment 600) in Scottsdale, Arizona, explore ways to use calculators as tools for learning and teaching mathematics. This project and other research indicate that students at every grade level can use calculators in classes to understand mathematical concepts. (MLF)

The effects of peer collaboration on mathematical and spatial reasoning were assessed for 152 fourth graders. Effects on learning with logical-physical materials were assessed 1 year later. Findings suggest that peer collaboration is effective for tasks that require reasoning but not for tasks that require rote learning or copying. (SLD)

Presented is a example that shows why a certain technical lemma is necessary for a valid proof of Galois Theory. The usual proof of Galois' Theory is included as well as one using the lemma. (KR)

Presented is an alternate way to derive R from Taylor's Theorem without involving the (n + 1)st derivative of f. Included is the procedure for estimating the bounds of R. (KR)

Developed is a condition, expressed in terms of an index, that ensures that a quasinormal subgroup is normal. The arguments suggest a variety of exercises for a course in group theory or Galois theory. Included are the definitions, lemmas, and proofs. (KR)

Presented are activities that help students understand the idea of a vector field. Included are definitions, flow lines, tangential and normal components along curves, flux and work, field conservation, and differential equations. (KR)

Presented are several applications of geometric concepts and measurement skills that are used daily by surveyors, real estate attorneys, and paralegal assistants. Described are the objectives and directions for this lesson. Activity sheets for students are included. (CW)

Described is an investigation into how the use of LOGO programing language affects children's basic knowledge of an angle. Findings indicate that children make erroneous adjustments to their conceptual knowledge of angle to accommodate the results of acquired procedural interaction with the computer. (Author/CW)

Describes four laboratory activities in algebra and precalculus classes that provide hands-on experiences related to functions: slowing down the acceleration of gravity; calculating the acceleration of gravity; generating a parabola using a steel ball and a tilted board; and photographing projectile motion. (YP)

Describes a way for students to learn to solve linear equations using physical objects (pan balances), diagrams, and symbols. Provides diagrams illustrating the method and five problems. Nine references are listed. (YP)