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9th Grade Math Proficiency Test
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9th Grade Math Practice Questions to test addition, multiplication, word-problem skills, and basic algebraic skills. Includes answers and explanations. From the Proficiency Building Activities of the NASA Lewis Research Center K-12 Program.

Subject:
Technology
Education
Mathematics
Material Type:
Assessment
Diagram/Illustration
Interactive
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Aerodynamics: The Mathematical Implications
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This unit from the Yale-New Haven Teachers Institute is "an attempt to develop a unit in mathematics that will provide topics for students interested in the aviation trades." The unit can be used to cover all areas of mathematics from areas in geometry sectors to basic addition of fraction and decimal numbers. These general math concepts will be introduced using aerodynamics and aviation language and it is hoped that students will begin "to understand the applicability of some of the mathematics concepts they have learned." This curriculum unit also includes sample lesson plans and references.

Subject:
Engineering
Technology
Life Science
Mathematics
Physics
Material Type:
Activity/Lab
Diagram/Illustration
Lesson Plan
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
AMSER LAR Collection
Author:
Smikle, Hermine E.
Algorithms in the "Real World"
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Algorithms in the "Real World" is a computer science class at Carnegie Mellon University. While the Course Versions links have information primarily related to each semester's offerings, the rest of the material on this site provides an excellent introduction of the subject matter for anyone who is interested. The lecture notes, which are neatly organized and could easily be made into a book, cover topics like data compression, cryptography, pattern matching, and much more. Links to several on- and offsite research papers, tutorials, and background information are also given.

Subject:
Technology
Education
Mathematics
Material Type:
Data Set
Full Course
Provider:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Author:
Blelloch, Guy E.
American Mathematical Association of Two-Year Colleges (AMATYC)
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The American Mathematical Association of Two-Year Colleges was founded in 1974. It is the only organization exclusively devoted to providing a national forum for the improvement of mathematics instruction in the first two years of college. AMATYC has approximately 2,500 individual members and more than 100 institutional members in the United States and Canada. Educators in 47 states and one Canadian province are represented through AMATYC's 44 affiliate organizations. AMATYC provides professional development opportunities for educators interested in the first two years of collegiate mathematics instruction through an annual conference, summer institutes, traveling workshops, publications and projects. The ˘ď‹ďĐOnline Resources˘ď‹ď section of the site has links to mathematics materials including algebra, geometry, economics, quantitative literacy, trigonometry, and developmental math.

Subject:
Engineering
Technology
Education
Mathematics
Material Type:
Lesson Plan
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Architectural Layout Design Optimization
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This joint effort between architecture and mechanical engineering researchers at the University of Michigan applied geometrical and topological optimization techniques to building floorplan layout. In the course of their research, they developed an optimization tool that is briefly described and can be downloaded from a Web site given in the paper.

Subject:
Engineering
Technology
Mathematics
Material Type:
Diagram/Illustration
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Choudhary, Ruchi
Michalek, Jeremy J.
Papalambros, Panos Y.
The Basics of MRI
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An introduction to magnetic resonance imagining, which is based on the principles of nuclear magnetic resonance (NMR), a spectroscopic technique used by scientists to obtain microscopic chemical and physical information about molecules. See, in particular, The Mathematics of NMR: Exponential Functions, Trigonometric Functions, Differentials and Integrals, Vectors, Matrices, Coordinate Transformations, Convolutions, Imaginary Numbers, and The Fourier Transform. Includes a glossary, a list of symbols, and references. The text is available in English, Italian, and Russian.

Subject:
Engineering
Technology
Education
Life Science
Mathematics
Material Type:
Diagram/Illustration
Textbook
Provider:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Author:
Hornak, Joseph P.
Calculus.org: The Calculus Page
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The Calculus Page is operated by the Department of Mathematics at the University of California, Davis. Although it gives links to many other online calculus resources, the site has excellent material of its own that is useful for both students and instructors. High school and college students taking beginning and intermediate level calculus will find problem sets with solutions and sample exams. There are also animations that demonstrate several fundamental concepts, as well as humorous excerpts from a recently published calculus book. For instructors, there are numerous demonstrations and experiments described on the site that will keep students interested.

Subject:
Engineering
Technology
Education
Mathematics
Material Type:
Activity/Lab
Interactive
Lesson Plan
Provider:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Cancer & Mathematics (MSTE)
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An Internet Adventure into Cancer, Pattern Recognition & Image Analysis, and Geometry. Cancer is a group of diseases in which some body cells change their nature, start to divide uncontrollably, and may revert to an undifferentiated type. This lesson explores the ratio that designates a cancerous cell (perimeter squared to area), through Java applets and files to download. By James P. Dildine, with consultation from Howard A. Silver.

Subject:
Engineering
Technology
Life Science
Mathematics
Material Type:
Activity/Lab
Case Study
Interactive
Simulation
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Dildine, Silver
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
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Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) is a collaborative project between Rutgers, The State University of New Jersey, Princeton University, AT&T Labs - Research, Bell Labs, Telcordia Technologies, and NEC Laboratories America. Affiliate members include Avaya Labs, HP Labs, IBM Research, and Microsoft Research. Their focus is on the development, application and dissemination of discrete mathematics (dm) and theoretical computer science (tcs). The research the center supports has applications to problems in fields such as telecommunications, networking, transportation, engineering, and cryptanalysis, as well as biology, chemistry, management, and decision making. The center offers research conferences and workshops, visiting scientists programs, and other activities for high school teachers and students. Information on enrolling in these programs, as well as several of their technical reports and other publications, is available from the website.

Subject:
Technology
Education
Mathematics
Provider:
Internet Scout Project
Provider Set:
Internet Scout Project
The Center for the Integration of Research, Teaching and Learning (CIRTL)
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The Center for the Integration of Research, Teaching and Learning (CIRTL), housed at the University of Wisconsin, builds off the core principles of teaching-as-research and learning communities to "develop a national faculty in science, technology, engineering, and mathematics (STEM) committed to implementing and advancing effective teaching practices for diverse student audiences as part of their professional careers." The strategy includes the creation of a program of graduate-through-faculty development in STEM higher education that will ultimately be transferred to national universities. Visitors can browse the website for the DELTA project at the University of Wisconsin, which serves as the development laboratory (in partnership with Michigan State and Penn State) for the project. The Diversity Institute aims "to increase the retention of women and under-represented minority students in STEM disciplines through national impact on individuals who shape STEM education at the university level." More information about these programs, courses, and ways to get involved can be found at the website. Still in the early stages, the group has not posted publications or presentations, but does have an Innovative Programs Database and links to related course syllabi.

Subject:
Technology
Education
Mathematics
Provider:
Internet Scout Project
Provider Set:
Internet Scout Project
Centre for Innovation in Mathematics Teaching: Interactive Tutorials (Book 8)
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Based at the University of Plymouth, the Centre for Innovation in Mathematics Teaching has developed many instructional materials designed to help both novice and experienced math teachers. This particular area of their website provides access to a number of interactive mathematics tutorials. The materials are divided into eight units, including those that deal with factors, mathematical diagrams, proportion, and estimating. Within each unit, users will find a number of example questions and related exercises. All of the materials offered here are quite accessible and easy to use, and users will find coverage of everything from prime factors to the sometimes-daunting Pythagorean theorem.

Subject:
Engineering
Technology
Education
Mathematics
Material Type:
Activity/Lab
Interactive
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
College Algebra Online Tutorials
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The introduction to this site remarks, "If you need help in college algebra, you have come to the right place." Their statement is accurate, as the staff members at the West Texas A&M University's Virtual Math Lab have done a fine job creating a series of online algebra tutorials for students and anyone else who might be returning to the world of algebra. First-time visitors should look at their online guide to the tutorials to learn how their tutorials are organized. After that, they should feel free to browse through any of the 59 tutorials offered here. Each tutorial contains information about learning objectives, full explanations, and numerous examples of how to correctly solve problems.

Subject:
Technology
Education
Mathematics
Algebra
Material Type:
Data Set
Diagram/Illustration
Interactive
Provider:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Computer Animation: Algorithms and Techniques
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Designed as an educational reference for graduate and upper-level undergraduate students, this site confers information about computer animation techniques. The site's author, Dr. Richard Parent, Associate Professor of Computer and Information Science at the Ohio State University, gives a thorough overview with topics ranging from the history of computer animation to hardware and software requirements to kinematics algorithms. He also provides an extensive reference list. Clearly written and accompanied by appropriate formulae and diagrams, this is a good Web resource for computer scientists.

Subject:
Technology
Education
Mathematics
Material Type:
Data Set
Diagram/Illustration
Simulation
Provider:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Author:
Parent, Richard.
Parent, Richard, 1949-
Computer Science Journals
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The Bereichsbibliothek Informatik of the University of Dortmund (Germany) provides this no-nonsense guide to tables of contents for over 200 computer science related journals. Users can browse the latest available tables of contents (note that currency varies widely from journal to journal) or search each journal individually. Users can take advantage of the powerful ability to search across all journals. Search options include by title, author, and keywords; searches can be limited by publication year, journal title, and volume number. Information on the year range covered for any of the journals is not provided.

Subject:
Technology
Education
Mathematics
Material Type:
Data Set
Diagram/Illustration
Provider:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Conic Sections (Visual Dictionary of Special Plane Curves)
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A discussion of the history of conic sections, one of the oldest math subjects studied systematically and thoroughly, with a description, formulas, properties, a proof, Mathematica notebooks, the ellipse seen as a circle, second degree curves, intersection of circles, orthogonal conics, Pascal's Theorem and Brianchon's Theorem, and related sites. Illustrations, including one showing the intersections of parallel planes and a double cone, forming ellipses, parabolas, and hyperbolas respectively. Hosted by the Math Forum.

Subject:
Technology
Education
Mathematics
Material Type:
Data Set
Diagram/Illustration
Simulation
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Lee, Xah
Discrete Mathematics and Theoretical Computer Science
Rating

Discrete Mathematics and Theoretical Computer Science (DMTCS) is a peer-reviewed electronic journal "devoted to rapid publication of innovative research which covers the fields of Discrete Mathematics and Theoretical Computer Science and puts a certain emphasis on the intersection of these two fields." Research is grouped into the following five categories: Analysis of Algorithms; Combinatorics; Automata, Logic and Semantics; Data Structures and Complexity; Graphs and Algorithms. Visitors can search by keyword or author, browse by issue, or download a complete bibliography. The journal is also available in French.

Subject:
Technology
Mathematics
Material Type:
Data Set
Diagram/Illustration
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
An Evolutionary Text Book-Evolving by Student Activities
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Working on a new calculus textbook can be a daunting project, and it is something that H’ŰÎےäÎÇkan Lennerstad knows a bit about. He happens to be a faculty member at the Blekinge Institute of Technology in Sweden, and he recently created this paper (along with two of his students, Maria Salomonsson and David Erman) that describes how he was able to develop new ways of learning calculus while working collaboratively with his students. This paper was released in June 2007, and in the article he talks about the process involved with creating this textbook and how he worked effectively with his students. It's a rather interesting piece, and one that fellow mathematics educators will want to look over and pass along to other colleagues.

Subject:
Technology
Education
Mathematics
Provider:
Internet Scout Project
Provider Set:
Internet Scout Project
Author:
Erman, David
Lennerstad, H’ŰÎےäÎÇkan
Salomonsson, Maria
The Fast Lifting Wavelet Transform
Rating

A tutorial on wavelet filters aimed at engineers. Focusses on "lifting," a technique for creating a general framework to design filters for every possible wavelet transform. May be read online or downloaded in PostScript format.

Subject:
Engineering
Technology
Education
Mathematics
Material Type:
Diagram/Illustration
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Valens, C.
Frequently Asked Questions about Today's Cryptography
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Many common questions about cryptography are answered in this May 2000 handbook by RSA Security, Inc. The contents include a basic introduction to cryptography, tools, applications, problems, cryptoanalysis, techniques, real world uses of cryptography, and legal issues. There is also some discussion of mathematical concepts involved and suggestions for further reading.

Subject:
Technology
Mathematics
Material Type:
Diagram/Illustration
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Fr„ďŠd„ďŠric Chyzak's Mgfun Project
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Mgfun is a group of Maple packages intended for calculations with multivariate generating functions, in particular for their symbolic summation and integration, and for the proof of special function and combinatorial identities. These packages include Ore_algebra, Groebner, and Holonomy. The packages may be downloaded by FTP; the site also includes a FAQ, a list of related bugs, links to related publications and software, and example sessions.

Subject:
Technology
Education
Mathematics
Material Type:
Interactive
Provider:
AMSER: Applied Math and Science Education Repository
Provider Set:
AMSER: Applied Math and Science Education Repository
Author:
Chyzak, Fr„ďŠd„ďŠric