Reports on the differences in two sections of a college course on differential equations. Results on a common examination showed that writing assignments substituted for traditional homework assignments did not improve test performance. However, survey results indicated that students felt the writing assignments, in lieu of additional homework,…

One college mathematics teacher finds that asking students to write brief essays about their attitudes toward and experiences with mathematics offers insight into student motivation, perceptions and misperceptions, and emotional responses. The essay serves as a communication and motivational tool for both teacher and students. (MSE)

Discussed are properties possessed by polygons inscribed in the lattice parabola y=x, including the area of a triangle, triangles of minimum area, conditions for right triangles, triangles whose area is the cube of an integer, and implications of Pick's Theorem. Further directions to pursue are suggested. (MDH)

Presented are six short articles on an application of an ellipse to carpentry, the area of an ellipse by stacking, using the isoperimetric quotient to solve a minimum problem, using an ill-posed trigonometry problem to encourage deeper exploration of concepts, the volume and centroid of the Step Pyramid of Zoser, and a unique telescoping series…

Presented is a scheduling algorithm that uses all the busses at each step for any rectangular array. Included are two lemmas, proofs, a theorem, the solution, and variations on this problem. (KR)

Mathematics educators have led the educational reform movement in recent years. New curricula and innovative teaching methods are emerging in elementary and secondary programs, as illustrated by the work of the College Board, University of Chicago, University of California at Berkeley and San Francisco, and the National Science Foundation. (MSE)

Describes the use of Keller's Personalized System for Instruction with the addition of videotapes, interactive videodisc, and computer-delivered tutorials in an undergraduate mathematics course. Modifications of Keller's plan for British universities are discussed, examination results are studied, and the quality of the learning experience is…

Provides a profile of Abdulalim Shabazz and his philosophy and practices relating to excellence in mathematics education. Highlights include his career at Clark Atlanta University; graduate mathematics students; teaching students based on need rather than test scores and background requirements; and gender equity in higher education, especially…

Described are student/consultant reports, turned in as homework, that reflected their abilities to distinguish useful from irrelevant information, solve the underlying calculus extremum problem, and reconcile the individual mathematical solutions with the ethical considerations surrounding the moral dilemma of the hypothetical consulting client.…

Reports the results of an observational study concerning mathematical word problems to provide direction for others contemplating analyses of student difficulties from a theory base. Finds that most students experience difficulties in applying past experience, knowledge, and the language of mathematics to form internal world models. (PRA)

Discussed are research methods as applied to research in the mathematics classroom. Included in the discussion are objectivity, development, evaluation, observation, reflection, research design and methods, and data reduction. (CW)

The Jacksonville University (Alabama) experience with reforming its mathematics major is described. The process, designed to meet student career needs while maintaining academic integrity, involved realignment of program objectives with student goals, which often did not include immediate graduate study. Other considerations included…

In 1997, Milgram and three other university mathematicians substantially revised the draft California mathematics standards. Changes were accepted by the state Board of education without seeking public or teacher input, circumventing public process. Content knowledge is no substitute for knowledge of how students develop mathematical…

Describes distance education courses developed by the mathematics department at the University of Colorado, Colorado Springs that were offered over the Internet. Highlights include motivation for the courses, including student needs; incorporation of traditional classroom elements into the presentations; selection of appropriate equipment;…

Gateway tests provide a means of assuring that students in reformed precalculus and calculus courses acquire the algebraic and computational skills needed in courses following these, while allowing the focus of the course to be on the conceptual understanding intrinsic to the reformed courses. However, logistical difficulties plague the…