In this report we examine students' perceptions of the implementation of carefully designed curriculum materials (called modules) in linear algebra courses at three different universities. The curricular materials were produced collaboratively by STEM and mathematics education faculty as members of a professional learning community (PLC) over…

One of the biggest problems for students majoring in pre-graphic design is students' inability to apply their knowledge to different design solutions. The purpose of this study is to examine the effectiveness of interactive learning modules in facilitating knowledge acquisition during the learning process and to create interactive learning modules…

Preservice preparation courses for elementary teachers of science can provide opportunities to build pedagogical content knowledge. One common concern of preservice teachers is how to cope with a preplanned lesson that does not proceed as planned. Providing opportunities for preservice teachers to experience the unexpected actually immerses them…

A brief description of the Florida Linkage System's training modules is provided. The training program is designed to introduce teachers and educational personnel to a systematic approach to problem-solving and decision-making. Emphasis is placed on group interaction, and raising awareness of self as an individual in a social context. The title,…

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…

Details are provided of computer-simulated experiments developed by the co-directors of the Learning Research and Development Center (LRDC), University of Pittsburgh. The initial materials were designed to help students learn physics. New materials are being developed along similar lines for elementary mathematics. The views of the creators are…

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…

This material assumes the user has the background provided by a good undergraduate course in applied probability. It is felt that introductory courses in calculus, linear algebra, and perhaps some differential equations should provide the requisite experience and proficiency with mathematical concepts, notation, and argument. The document is…

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…

The inservice learning module described here focuses on solving problems of classroom management, parent teacher relations, curriculum, and methodology. Topics covered in this program include evaluation of teaching and learning, grouping for instruction, controlling student behavior, relating to parents, motivating students, unit teaching, coping…

Agrees with Alberts and Tuomi about the need for an experiential approach to science instruction but argues that science kits are too easily used in ways that do not significantly advance students' skills in problem solving and critical evaluation and that the kits too often seem to relieve the teachers from responsibility for their own continuing…

These two modules cover aspects of the coding process and algebraic coding theory. The first unit defines coding as a branch of information and communication science, which draws extensively upon many diverse mathematical fields, primarily abstract and linear algebra, number theory, probability and statistics, and combinatorial theory. Aspects of…