This study sought to describe and identify trends in teachers' affect toward, conceptions of, and understanding of mathematics as they proceeded through 30 hours of collegiate mathematics to receive a second certificate to teach secondary school mathematics. From the 24 teachers who began the program, 13 teachers were selected because they were…

Drawing from experience at Lansing Community College (LCC), this paper discusses how to best prepare students for success in a beginning algebra course. First, an overview is presented of LCC's developmental math sequence, which includes Basic Arithmetic (MTH 008), Pre-Algebra (MTH 009), Beginning Algebra (MTH 012), and Intermediate Algebra (MTH…

This book contains about 200 problems. It is suggested that it be used by students, teachers or anyone interested in exploring mathematics. In addition to a general discussion on problem solving, there are problems concerned with number theory, algebra, geometry, and combinatorics. (PK)

The concept of probability is not an easy concept for high school and college students to understand. This paper identifies and analyzes the students' alternative frameworks from the viewpoint of constructivism. There are various interpretations of probability through mathematical history: classical, frequentist, and subjectivist interpretation.…

This book, written primarily for college students who feel uncomfortable with mathematics, attempts to provide its readers with new ways of thinking about mathematics, reading mathematics, studying mathematics, talking the language of mathematics and appreciating the power of using mathematics. Chapter 1 deals directly with the problem of math…

Discusses the potential impact of the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics on teacher education programs. Considers an historical perspective on reform as well as teacher and student conceptions. (PK)

Brief articles are included on exploring mathematical patterns, with two computer programs listed for finding happy numbers; a simple periodic function in trigonometry; and comments on humorous student errors. (MNS)

Lists 20 articles summarizing research, one listing of research papers, 203 journal articles, and 342 doctoral dissertations on mathematics education, each with a short annotation. All are dated 1985. (JM)

Describes and evaluates the Mathematics Workshop Program (MWP), which recruits first-year students of all races but typically enrolls primarily minority students. Data clearly suggest that MWP has succeeded in promoting high levels of academic performance among African American mathematics students. (AF)

Compared are the survey responses on practices and perceptions on computer uses in classroom between a faculty group involved in changing 10 undergraduate courses in mathematics and science education (n=25) and a group of regular faculty (n=60). There were no significant differences between two groups except on the use of inquiry and guided…

Notes muMATH is a powerful computer algebra systems assistant for performing symbol manipulation in algebra and calculus. Provides several examples and program listings for calculus tutoring, differentiation drill problems, and integration drill problems. (MVL)

Integrates research on mathematics anxiety, regarding its nature, effects, and relief by using meta-analysis. Concludes that mathematics anxiety depresses performance and that mathematics and test anxieties both relate to general anxiety. Discusses the sex difference of the anxiety and its effects on achievement. (Author/YP)

Describes an experimental course requiring writing assignments as a regular part of the course. Summarizes common problems with student writing in mathematics. Reports effective procedures of the course, such as peer response, double submission, and efficacious instructor responses. (YP)

Presents tasks from the topics of calculus, statistics, non-Euclidean geometry, and probability to illustrate effective college mathematics teaching. Discusses some obstacles to change in college-level mathematics teaching and strategies to overcome those obstacles. (MDH)

Four techniques used to incorporate writing and active learning into mathematics classrooms are described. They include summary sheets, short focused writing, medium length writing, and student presentations. Examples of how each technique can be used are included. (KR)