This note discusses the introduction of Fourier series as an immediate application of optimization of a function of more than one variable. Specifically, it is shown how the study of Fourier series can be motivated to enrich a multivariable calculus class. This is done through discovery learning and use of technology wherein students build the…

In this article, the author presents five problems that are representative of some of the "movie problems" that he has used on tests in various courses, including reactor design, heat transfer, mass transfer, engineering economics, and fluid mechanics. These problems tend to be open-ended. They can be challenging and can often be worked a variety…

This guide describes development of the problem-based approach of GED as project. It is Volume 1 of a proposed four-volume series. Section 1 describes the concept of GED as project, thinking and problem solving, successful intelligence, and integration of content and skills. Section 2 covers GED as project implementation using learning projects…

Designed as a follow-up activity for gifted and talented classes that have been using learning centers, this contract directs students in building their own learning centers. Six sections cover choosing a subject, researching, setting objectives for the learning center, developing activities for the center, writing directions and collecting…

A handbook for Peace Corps volunteers gives ideas and suggestions for improving second language learning. Chapter one answers some of the most common questions about learning foreign languages, including the best age and means for language learning, avoiding mistakes, dealing with the inability to understand a message, the time needed to master…

Intended for secondary teachers in rural areas, the paper examines ways to implement a learning center approach to meet a range of students' needs, including mainstreamed special needs, students, regular students, and gifted and talented students. The first section considers B. Bloom's Taxonomy as a basis for developing learning centers.…

In this experiment, organic chemistry students perform reactions between three naphthyl acetate derivatives and the diazonium salt Fast-Red TR, under basic conditions. The three naphthyl acetate derivatives used in this study are 2-naphthyl acetate (1a), 6-bromo-2-naphthyl acetate (1b) and 1,6-dibromo-2-naphthyl acetate (1c). The two-step, one-pot…

This book is intended for use as a student guide. It is about human problem solving and provides information on how the mind works, placing a major emphasis on the role of computers as an aid in problem solving. The book is written with the underlying philosophy of discovery-based learning based on two premises: first, through the appropriate…

Describes a lesson using magazine photographs to help students learn about cultural diversity. Cooperative learning and discovery learning techniques are utilized. A student observation sheet and culture picture map are included. (CFR)

Presents three hands-on, discovery geometry lessons based on the use of special pieces called Polydrons by a fifth-grade class to build and investigate special properties of polyhedra and to stimulate students to think geometrically. Includes reproducible student worksheets. (MKR)

This activity book for teachers and students presents ideas for lessons on Christopher Columbus. Three sections offer teaching ideas and student activities focusing on Columbus's inspiration and preparation for departure, the science of navigation and the voyage, and the pros and cons of changes brought about by Columbus's voyage. (SM)

Activities to extend the core curriculum through the study of the periodicity of rational numbers to help students develop calculator and research skills are presented. Four worksheets are included, to be used as discovery activities. A computer program is listed, as well as examples of periodic pictures. (MNS)

Presents a series of 5 reproducible worksheets for grade levels 5-10 that provide hands-on activities to help develop the concept of slope. (MDH)

Principles of science and art are found in all phases of daily life. This book helps teachers and students in grades 7 and 8 discover specific scientific information as they experience "making pottery" using Native American pottery techniques. Lessons are built upon discover techniques--observation followed by conclusion--and begin with…

Maintains that understanding and implementing the National Geography Standards through simulation techniques can be a powerful tool for studying any cultural region. Provides a step-by-step instruction for creating a classroom field trip simulation. Includes tips for follow-up activities and assessment procedures. (MJP)