Our paper describes a solution we found to a still existing need to develop mathematical modeling courses for undergraduate biology majors. Some challenges of such courses are: (i) relatively limited exposure of biology students to higher-level mathematical and computational concepts; (ii) availability of texts that can give a flavor of how…

Successful science and engineering programs require proficiency and dynamics in mathematics classes to enhance the learning of complex subject matter with a sufficient amount of practical problem solving. Improving student performance and retention in mathematics classes requires inventive approaches. At the University of Central Florida (UCF) the…

I discuss my experience with teaching an advanced undergraduate Real Analysis class using both lecturing and the small-group guided discovery method. The article is structured as follows. The first section is about the organizational and administrative components of the class. In the second section I give examples of successes and difficulties…

Creating effective mathematics lessons can be a challenge for any teacher. One approach to design an effective lesson is using a before-during-after (BDA) format. This article describes what a BDA format is and provides two examples of how it is implemented in high school mathematics classes. (Contains 2 tables and 5 figures.)

The author of this paper submits the thesis that learning requires doing; only through inquiry is learning achieved, and hence this paper proposes a programme of use of a modified Moore method in a Probability and Mathematical Statistics (PAMS) course sequence to teach students PAMS. Furthermore, the author of this paper opines that set theory…

This article describes the process of design and implementation of a hands-on unit on fractions in the sixth grade. The fraction unit, taught by a classroom teacher with the aid of a university professor, uses pattern blocks to help students develop conceptual understanding of fractions. Student misunderstandings and outcomes are presented, as…

Describes how to develop students' communication skills, regular study habits, basic mathematics skills, and a talent for logical thinking in a calculus class. Eight references are listed. (YP)

A University of Redlands (California) calculus course was redesigned to include computer demonstrations and homework assignments in which the computer could play an important role. Comparison of results of this instruction with that using traditional methods suggest the approach using computers has merit. (MSE)

Illustrates how one mathematics department has added courses to widen pupils' views of mathematics and to improve their problem-solving ability. (PK)

In this paper, we address mathematics education in rural contexts from a critical pedagogical perspective. We imagine our audience to be mathematics educators and rural educators who may not have background knowledge of critical pedagogy. We also confess that we are mathematics educators first, with interests in critical pedagogy and rural…

Seven characteristics of active learning were identified (experiential learning, collaboration, discovery, use of authentic problems, planning before doing, risk-taking, integrative learning), and then used to reconceptualize an introductory statistics course. The model involves students as apprentices to faculty active learners. (MSE)

Describes an optional course in "computational physics" offered at the University of Birmingham. Includes an introduction to numerical methods and presents exercises involving fast-Fourier transforms, non-linear least-squares, Monte Carlo methods, and the three-body problem. Recommends adding laboratory work into the course in the…

Describes the development of a new mathematics course in a school district in Great Britain which was designed for low achieving high school students. Provides the course design including aims, objectives, levels of attainment, and assessment exercises. Discusses the mathematics achievement certificate created as a result of the course. (TW)

This manuscript on mathematics was prepared by Dr. Edwin S. Lide, one of the full-time workers on the Survey. It gives attention to courses of study mostly in mimeographed form which he succeeded in obtaining and to personal visitations which he made to the various schools. It covers the work in the junior high school and in the senior high…