Successful teacher preparation programs provide learning experiences that help teacher candidates make the shift from "student" to "teacher." In this paper we present research on the implementation of a process for providing candidates such experiences. Utilizing the Mathematics as Teacher Heuristic (MATH) process, prospective…

Real-life, complex problems often require that decisions are made despite limited information or insufficient time to explore all relevant aspects. Incorporating authentic uncertainties into an assessment, however, poses problems in establishing results and analysing their methodological qualities. This study aims at developing a test on clinical…

Use of end-of-chapter textbook problems for teaching and assessing concepts in introductory physics is widespread, as is restriction of student access to the solutions. Surveys student attitudes (n=128) on access to problem solutions, sampling the enrollment in a large calculus-level course. Results confirm a definite preference for freer access…

Collects and examines data on the attitudes of physics instructors towards allowing student access to textbook problem solutions. Student data (n=227) was collected by survey. Compares student and instructor attitudes and discusses the possible significance of the survey results. (Author/MVL)

The author uses Stella the Spider as the main character in a number of three-dimensional geometry problems. Eight of these problems are discussed, with solutions. (MNS)

This document consists of three modules concerned with aspects of statistics. The first provides knowledge of the effect of imperfect correlation and random error on differences between means, and the reasons for the necessity of random allocation of objects to experimental and control conditions in scientific experimentation. The second unit…

The emphasis is on so-called "best solution" problems to questions that frequently arise in practical situations, such as finding an answer for the least amount of time, greatest volume, least amount of work, maximum profit, and minimum cost. One of this module's purposes is to help users become acquainted with the types of calculations necessary…

This document contains two units that examine integral transforms and series expansions. In the first module, the user is expected to learn how to use the unified method presented to obtain Laplace transforms, Fourier transforms, complex Fourier series, real Fourier series, and half-range sine series for given piecewise continuous functions. In…

This document contains three modules. The first of these examines applications of algebra to geometry. It is designed to teach students how to algebraically characterize points which may be constructed with a compass and straight edge, and how to use this characterization to obtain classical geometric nonconstructibility results. The second unit…

Geometrical probability deals with probability on infinite sample spaces where each outcome of an experiment is equally likely to occur. Geometry which identifies sample space regions and event subregions leads to a method of finding a desired probability. A collection of problems with solutions is presented. (MP)

This volume contains the Annual High School Mathematics Examinations given 1973 through 1982, supplementing three previous compilations. The examinations provide challenging problems which teach, stimulate, and provide enjoyment for both participants and readers. In addition to presenting the ten examinations, consisting of 35 problems for the…

The document notes that in health and medical research the need to compare rates or proportions for some event can often occur. It is the module's goal to illustrate the conditions necessary for recognizing potentially misleading situations, and to show how to cope statistically with such situations. The four sections show: 1) when to adjust…

A group is viewed to be one of the simplest and most interesting algebraic structures. The theory of groups has been applied to many branches of mathematics as well as to crystallography, coding theory, quantum mechanics, and the physics of elementary particles. This material is designed to help the user: 1) understand what groups are and why they…

Examines the attitudes of physics instructors on how and when students should be allowed access to textbook problem solutions. Presents a detailed analysis of 249 survey responses from U.S. and Canadian universities which conveyed a wide range of opinions and comments. Discusses the need to rethink strategies regarding access to solutions. (AIM)

This booklet was designed to provide practice on mathematical skills with material that is relevant in the lives of students in grades 2-5. All pages are tear-out reproducibles that may be used in any order, although varying levels of difficulty in both content and reading level are apparent. Activities pertaining to number, computation,…