This module considers ordinary linear differential equations with constant coefficients. The "complex method" used to find solutions is discussed, with numerous examples. The unit includes both problem sets and an exam, with answers provided for both. (MP)

This document consists of five units which all view applications of mathematics to American politics. The first three view calculus applications, the last two deal with applications of algebra. The first module is geared to teach a student how to: 1) compute estimates of the value of the parameters in negative exponential models; and draw…

This document is designed to aid students who wish to comprehend the algebraic problem-solving process for mixture problems. The instruction set was designed to be low stress, patiently delivered, and easy to follow. It was set up to be accompanied by a 25-minute audio cassette tape. The content of this document and the tape is directed to the…

This unit describes four secondary school activities related to the geography of the Great Lakes. In Activity A students develop map skills as they study the lakes' positions and associated cities; these skills are applied to the St. Lawrence Seaway in Activity B. Activities C and D involve learners in solving perimeter, area, distance, rate,…

This is the student guide in a set of five computer-oriented environmental/energy education units. Contents are organized into the following parts or lessons: (1) introduction to power and energy; (2) energy consumption and supply; (3) energy conservation and distribution; (4) energy flow and the question of transportation; and (5) computer models…

An exercise designed to provide students with an opportunity to take responsibility for learning an assigned reading and to share ideas with their colleagues is described. The exercise also provides a safe atmosphere in which to practice communication skills, critical thinking, and decision making. (MLW)

In this lesson, junior high students consider two instances of exponential population growth--one at the local community level and one at the world level--as a way of illuminating some of the problems posed by growth and the limits that may curtail it. (RM)

This section presents four worksheets for grades 1-8 on problem-solving activities with a "things to do this summer theme." Problems relate to a county fair, a library summer reading program, camp, and summer jobs. (MNS)

The case-based study, which presents students with a dilemma that encourages exploration, is becoming a popular method for teaching biology. This Web-based report offers one such case study that asks readers to solve problems and make decisions based on information gathered as they engage with characters or situations in the story. The basis for…

This guide contains classroom-tested problems designed to introduce and reinforce mathematical concepts in a quick, "fun" way. Activities emphasize the logic and reasoning skills needed to build a strong foundation in mathematics. The problems are thinking activities and require only upper elementary level mathematics skills. Activities are…

A problem involving the search for an equivalence class of triangles is viewed to provide several exciting and satisfying moments of insight. After solving the original problem, there is a brief discussion of a slight variation and several notes regarding related theorems and ideas. References for additional exploration are provided. (MP)

Eleven questions, primarily dealing with the structure of the human body, are presented. In addition to a question on calculation of age in days, hours, minutes, and seconds, there are problems on the muscles, and the respiratory, circulatory, and skeletal systems. Answers to general questions are provided. (MP)

Presented is a method for finding two triangles that have five pairs of congruent parts, yet fail to be congruent. The solution is thought to involve some creative insights that should challenge both the teacher and students to recall and analyze all the congruence axioms and theorems. (MP)

The problem of finding the maximum number of right angles a polygon can have, given the number of sides, is discussed in detail. (MP)

Discusses the implications of a research study of more than 2000 students aged 11 to 15 that explored why the students interpret algebra in certain ways. Recommends strategies that can help teachers deal with prior knowledge that students may bring to their study of algebra. (DDR)