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)

Reported is whether and how mathematics has changed during the 75 years of the Mathematical Association of America's (MAA) existence. The progress of mathematics is organized into 9 concepts, 2 explosions, and 11 developments. (KR)

Reviews the general principles of the reforms addressed by the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards and applies them to community college mathematics. Suggests that challenges to reforming mathematics curricula come primarily from teacher preparation and instruction methodologies and from student-related…

Calculus must evolve or face the prospect of becoming irrelevant. The minimum level of classroom technology now available requires us to rethink the content of our calculus courses. Proposes using graphing calculators and computer algebra systems to include the following topics: local linearity, optimization problems, families of curves, and…

The constructivist perspective, which holds that children's learning of subject matter is an interaction between what they are taught and what they bring to a learning situation, could be used to improve mathematics teacher education. (PK)

Asserts that college students lack understanding of the concept of function. Based on an epistemological theory, offers an instructional treatment using computers that presents a process concept of function and results in substantial improvements in student understanding for many students. (29 references) (MDH)

Discusses student-teachers' awareness of research and its potential role in their work as teachers, both as methodology for themselves as practicing researchers-in-action and as material developed by others. Some of the influences that led to the rise of the "teachers as researchers" program are included. (KR)

Interest in educating individuals, rather than classes, began in the time of the Greeks, but has escalated in the last century. As more and more students stay in school longer and longer, teachers have had to adjust their teaching to meet the needs of an increasingly diverse student body. One method of attending to the needs of individuals is to…

The Conference on English and Mathematics brought together 100 faculty members from the California Community Colleges and the California State University to address such topics as curricular standards; admission, placement, and exit testing; improvement of transition from upper- to lower-division study; and the integration of English and…

This report is intended to provide attention to issues that the Cambridge Conference feels are related to the mathematical training of elementary school teachers. The document is divided into three parts. Part I, titled "The Problems and Proposals Towards the Solution," contains the following chapters: (1) Introduction to the Report; (2)…

Contends that institutionalized Eurocentric curricula constantly reinforce racial and sexual inferiority complexes among people of color and women. Calls for the incorporation of world mathematical and scientific history and knowledge in the curriculum. Describes a radical pedagogy encouraging minority students to feel positive and self-assured…

Presents examples of using the computer to enhance teaching function evaluation using BASIC, Riemann sums using MAPLE computer algebra systems, and linear programing using MATLAB. (YP)

Discussed is the importance of students being able to read and understand mathematics. The need for students to practice reading mathematics is emphasized. Discussions and homework are presented as examples of this needed practice. (KR)

In the past 5 years, the Mathematics Department at Saint Louis Community College (SLCC) in Meramec, Missouri, has made major curricular modifications and changed the role of faculty members in helping students succeed. These changes have been made in an effort to bring the curriculum in line with the National Council of Teachers of Mathematics'…

Proceedings of the North Country Workshop on Science, Technology, and the Undergraduate Curriculum are presented. The Sloan Foundation's call for reform of the liberal arts and coverage of mathematics, science, and technology is noted in welcoming remarks by State University of New York, Potsdam, President Humphrey Tonkin. Stephen H. Cutcliffe…