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The NSDL Scout Report for Mathematics Engineering and Technology-- Volume 2, Number 18



September 12, 2003 | Volume 2, Number 18
Education
This site departs from the common themes taught in general geometry classes and introduces projective geometry, which has to do with special properties resulting from the intersection of lines, planes, and points. The coincidence of such elements is what is referred to as an incidence, and this is the basis of the topic. The site makes extensive use of animated figures to demonstrate principles involved in projective geometry, such as path curves, pivot transforms, and the curious concept of counter space. The author does a good job of explaining what is depicted in the figures as well as the underlying theory. [CL]
Remote sensing, in the context of these tutorials, is a technology used for scientific observation of distant objects and phenomena. For example, remote sensing is the basis of earth- and space-based telescopes, satellite imagery, and most anything dealing with the recording of light data. The three tutorials given on this site cover the topics of radiometric calibration, geometric correction, and image classification. A basic justification for each of the remote sensing methods is given, but the bulk of the material is found in the Types / Algorithms sections. These give the reader a fairly technical explanation of how digital images are processed to reveal the greatest amount of information possible. Sample pictures showing, for instance, feature extraction and classification are provided to emphasize the importance of the three methods. [CL]
The Journal of Information Technology Education (JITE) is an annual publication that seeks to "improve IT education around the world by publishing high quality articles on best practices and other topics" of interest to teachers. Papers are mainly written by university professors that want to share their insights into effective educational methods and technologies. The 2003 volume of JITE includes an interesting paper about ways to help ease secondary school students' transition into a university-level IT program. Another paper addresses elementary school teachers' understanding of computer technology. Some additional topics are distance education, development of technology-assisted learning applications, and much more. [CL]
Frequency Devices, Inc. offers this valuable design guide about analog and digital filters. Many basic principles taught in a signal processing class are discussed, such as sampling a signal, aliasing, and frequency-domain analysis. The equations and parameters that govern filter operation are well explained. The guide defines many of the considerations necessary to choose which type of filter best suits a particular application, and a general procedure to make the correct decision is provided. Most of the information pertains to analog signals and devices, but a good introduction to digital filters is presented as well. [CL]
The author of C++ In Action and its online counterpart wrote the book with the intention of transcending the bare-bones essentials of the programming language and expanding into the techniques that make an effective code writer. Three main chapters cover the C++ language and structure, programming techniques, and the software project process; another chapter on Windows techniques is provided as an extra. Anyone from first-time programmers to people proficient in C++ will likely find useful ideas and strategies within the book. The author excels at delivering otherwise dry material in a refreshing way to keep the reader interested and well informed. [CL]
The world of wireless communications is evolving at a rapid pace, and the two reports given on this site help to shed some light on current and future technologies. The Mobile Wireless Communications Today report highlights systems of second-generation networks as they exist around the world, including the Global System for Mobile Communications and Code Division Multiple Access. These technologies are simply different methods of sharing the radio frequency spectrum and providing an air interface to transmit and receive wireless signals. The second report focuses on the wireless world of tomorrow, as the transition to third-generation (3G) systems is made. Different technologies that are competing for dominance in 3G are described, and the report concludes with a look at what may lie beyond 3G. [CL]
Published by the Pacific Institute for the Mathematical Sciences, Pi in the Sky has the goals of "promoting mathematics, (...) increasing the involvement of high school students in mathematical activities, and promoting careers in mathematical sciences." Released online on roughly a biannual basis, the periodical can be freely downloaded from this site. The March 2003 issue contains articles about math in martial arts, probability concepts in gambling, and many more. Every edition of Pi in the Sky dating back to its inaugural issue in 2000 is available, and each has several articles contributed by prominent figures in mathematics and related areas. The September 2002 issue even featured an article written by none other than Gary Kasparov, the famous world chess champion. [CL]
The Mathematical Association of America presents this series of in-depth articles on "undergraduate mathematics education." Only eight articles have been contributed since the column's beginning in 1996, but there have already been two excellent ones for 2003. The first is titled Learning and Teaching Ordinary Differential Equations, which explores a change in the way the subject is taught, both conceptually and in the technology used to apply the material. The second article, and perhaps most intriguing, is about the difficulty students experience when learning proofs and how to construct their own based upon a given assumption. Instructional methods that could potentially enhance student's understanding are introduced. [CL]
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