Any real understanding of where we stand scientifically today and where we are headed depends to a great extent on an awareness of how we reached those scientific achievements. The increased impact of science and technology on our lives makes such an understanding even more important. For this reason, this book is intended to provide information…

Minorities have for some time been underrepresented in the technical fields, such as engineering and computer science. This development is known to be caused by a variety of factors, but the primary purpose of this report is to help identify those factors that adversely affect the cognitive development of the technical bilingual student in terms…

Presents an introduction to the study of projective geometry, including a definition and some analagous examples using the overhead projector. Illustrates the principle of duality, Desargues' theorem, Poppus' theorem, and Pascal's theorem. (TW)

Reviews for three software packages are given. The packages are: Super Math Package, a collection of 19 programs on a variety of mathematical topics; Interactive Experiments in Calculus; and Introductory Statistics Software Package. (PK)

Reports 17 recommendations that focus primarily on curriculum in grades 11-13 for students who take a four-year college-preparatory program. Appropriate curricular patterns for students who are intending to pursue careers that depend on mathematics are indicated. (PK)

Discusses the snowflake curve as a way to introduce the topic of sequences and series. Computer programs which produce graphic results are included. (PK)

Describes a course in nonlinear mathematics courses offered at the University of Pennsylvania which provides an opportunity for students to examine the complex solution spaces that chemical engineers encounter. Topics include modeling many chemical processes, especially those involving reaction and diffusion, auto catalytic reactions, phase…

Describes methods and software for graphing representation of a complex function of a complex variable. Includes an application of a graphical interpretation of the complex zeros of the cubic and their properties. (PK)

Reviews recent research on problem solving, summarizing differences between problem-solving styles of novices and experts. Also describes a text by Daniel Solow ("How to Read and Do Proofs"). Includes chapter titles for the text useful for students who wish to improve their understanding of mathematical reasoning. (JM)

Describes an interactive computer game (for Apple II) designed to challenge students' problem-solving skills. The game is appropriate for science/mathematics classes from high school to college (particularly in logical problem-solving units). Includes game design/operation and list of characteristics of scientific research (as applied to general…

Reviews computer program on factoring whole numbers (suitable for Pet, Apple or TRS-80). Discusses documentation and selected aspects of the 12 interactive lessons, games, and exercises suitable as new material for upper elementary/junior high school students and as review/remedial material at the secondary/junior college levels. (JN)

Highlights first part of a two-year study assessing the quality of doctoral programs training scientists for research careers. Study (dealing with mathematics and physical sciences, including chemistry) evaluated programs according to size, quality of graduates, reputation, research support, and publications. Other volumes will focus on…

The role of methods courses to help prospective elementary teachers learn to teach mathematics was investigated. The influence of past experience on preservice teachers, their lack of subject knowledge, and the lack of time set aside for a methods course are discussed. (KR)

Compared and contrasted are the concepts intuition and logic. The ideas of conceptual thought and algorithmic thought are discussed in terms of the world as a labyrinth, intuition and time, and the structure of knowledge. (KR)

Described is a nonmajor mathematics course taught using computers and lab experiments. Included are the challenge, solution, description of the first class, problems, successes, the syllabus, student comments, and the conclusion. (KR)