Describes a nine-hour, three-sequence mathematics course in the elementary teacher certification program at Texas Tech University. Emphasizes the development, philosophy, design, and implementation of the sequence. Presents excerpts from the activities and group exercises outlined for the course. Contains 15 references. (Author/ASK)

Describes a research-based analytical framework for motivation, activity, learning, and attribution to exam classroom management issues in student-centered instruction. Reviews research in classroom management for university and college-level classrooms. Describes the research base for the framework. (Contains 88 citations.) (Author/KHR)

Examines the performance of two groups of students in traditionally-taught second semester calculus: students who took reform first semester calculus and students who took traditionally-taught first semester calculus. Identifies and explores the issues that reform students faced as they transitioned into traditionally-taught second semester…

Describes the writing of a new placement test and provides detailed results of a validity study on the test. Concludes that placement testing does not work very well. Suggests that undergraduate mathematics departments consider using existing data rather than giving a separate placement test. (Author/KHR)

Presents experience with creating and teaching a course on mathematics using works of fiction as the primary texts. Describes the goal of the course as giving students an appreciation for the beauty, power, and significance of mathematics. (Author/KHR)

Discusses the teaching preparation program for new mathematics instructors at the U.S. Air Force Academy. The program is structured into a series of five practice lessons, each focused on particular aspects of effective teaching. Summarizes participant feedback from the program. (Author/MM)

Describes a successful course in mathematical biology at Dartmouth College. The course targets premedical students and biology majors rather than mathematics majors, and requires only one semester of calculus as prerequisite. Real world problems form the basis of student work. (Author/KHR)

Describes how modifying familiar classroom formats in a college geometry class helped encourage student problem solving. Demonstrates these modified formats in the context of problems students explored, which resemble the problem-solving settings of mathematicians. (KHR)

Describes the behavior of five calculus professors and their students based on observations of calculus classes. Results showed that the dominant mode of instruction was lecture and students were usually not actively engaged in doing mathematics. (14 references) (Author/MKR)

Presents a college calculus program based on the discovery method and the educational psychology literature used to develop it. Lists departmental, educational, and calculus reform goals, and describes characteristics of the program, including relaxed atmosphere, use of visualization, and supplemental teaching techniques. (13 references) (MKR)

Reports results of a survey of demographics and work and study habits of college freshmen mathematics students. No statistically significant correlation was found between work hours and grade outcome. (Author/MKR)

Proposes a calculus curriculum combining formative knowledge, mathematical foundations, and instrumental knowledge in mathematics. Discusses each of these components, the organization of a core calculus course, and the use of problem solving in calculus instruction. (10 references) (MKR)

Summarizes the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards document and suggests 10 implications for college mathematics. (MKR)

Compares experiences in two calculus courses for non-science majors: a traditional business calculus course and a course using materials from the Calculus Consortium based at Harvard. The latter program is recommended. (MKR)

Studied the differences between metacognitive behaviors exhibited by (n=6) graduate students in mathematics and (n=9) freshman college students. Experts possessed and used schemas to solve problems, but schema use did not fully or adequately characterize expertise. Beliefs about cognition played a more important role than control of cognition. (23…