Described are procedures for multiplying matrices using Logo. Examples of computer programming are included. (RH)

Sophomore and junior students in the College of Engineering at Cornell University have been taught engineering mathematics using new computer software that performs exact symbolic algebraic and calculus operations. Describes this software, the computer-based mathematics laboratory, changes in the teaching/learning environment, and short- and…

Recognizes three major problems for use of student achievement in measuring teacher effectiveness: (1) great variability in initial student capabilities; (2) teaching to the examinations; and (3) regression effects. Pretests/posttests and outside observers were shown (in a pilot study) to avoid such problems. (DH)

A dialog shows how student-teacher interaction on problems can help students learn. Fifty sample problems are provided as starting points for class discussions from grade three through college. Six purposes such problems can serve are identified. A method of classroom presentation, the mathematical scavenger hunt, is discussed. (MP)

Describes a mathematics content course in which observations are made by preservice elementary school teachers of actual classroom teachers. This course emphasizes these aspects of teacher education: attitudes towards mathematics, achievement and understanding of content, expectation levels of prospective teachers, and understanding of elementary…

A mathematical treatment of the relationship between driving speed and fuel efficiency is presented. The material involves applications of exponentials, logarithms, and elementary calculus, and is intended to be enrichment material for secondary and lower college mathematics classes. (MP)

An exercise in applied mathematics that focuses on belt drives that is suitable for senior secondary pupils is presented. Some comments on classroom use and student reactions to this lesson are included. (MP)

Proposals for modifying attitudes and anxieties about mathematics by inner city students and increasing the chances these pupils have to succeed in college mathematics are presented. Orientation sessions are proposed for students entering colleges with mathematics deficiencies and anxieties. (MP)

Described is a two-semester, first year graduate level course offered at the University of Notre Dame on mathematical methods in chemical engineering. An unusual characteristic of the course is that the lectures are given on transparencies shown by an overhead projector, the students receiving printed copies of the transparencies. (BT)

Presented is a method where a quadratic equation is solved and from its roots the eigenvalues and corresponding eigenvectors are determined immediately. Included are the proposition, the procedure, and comments. (KR)

Discussed is how a separable field extension can play a major role in many treatments of Galois theory. The technique of diagonalizing matrices is used. Included are the introduction, the proofs, theorems, and corollaries. (KR)

Presented are two exercises on the differential geometry of curves. A generalization dealing with smoothness conditions is given that relates the two exercises. Included are the definitions, theorems, propositions, and proofs. (KR)

Presented is a Poisson derivation using explicitly stated assumptions and exact functional equations. The assumptions are homogeneity, independence, and negligibility. Included are the derivations and proofs using L'Hopital's rule for each assumption. (KR)

Explored is an overdetermined system of linear equations to find an appropriate least squares solution. A geometrical interpretation of this solution is given. Included is a least squares point discussion. (KR)

Described is computational geometry which used concepts and results from classical geometry, topology, combinatorics, as well as standard algorithmic techniques such as sorting and searching, graph manipulations, and linear programing. Also included are special techniques and paradigms. (KR)