 Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation that illustrates the use of iteration, recursion, and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect
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 Using Manipulatives  Math Forum, Teacher2Teacher FAQ
Answers to a frequently asked question: What role can manipulatives play in the classroom?
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 Using Mathematica in the Mathematics Classroom  Univ. of Illinois
A course module designed for high school and lower division college mathematics teachers who are beginners with Mathematica and who want to learn to use this software package to create transparencies and handouts, computer demonstrations, and interactive
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 Using Sketchpad: Circles  Jim King, University of Washington
A sketch illustrating families of circles orthogonal to a given circle or line, which give some motivation for the idea of reflecting a point across a line or circle. Notes on Jim King's presentation at the Sketchpad User's Group Meeting in Cincinatti
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 Using Sketchpad: Conics  Peter Andrews, Eastern Illinois University
Two sketches illustrating techniques for constructing general conic sections, one on Isaac Newton's Organic Construction and one on the MacLaurin/Braikenridge construction of a general conic. Notes on Peter Andrews' presentation at the Sketchpad User's
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 Using Sketchpad in Calculus  Doris Schattschneider, Moravian College
Three sketches about parametric equations of curves and a sketch about a (then) unsolved problem about perpendicular bisectors of quadrilaterals. Notes on Doris Schattschneider's presentation at the Sketchpad User's Group Meeting in Cincinatti in January
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 Using Sketchpad: Triangles  Mel Thornton, University of Nebraska
A sketch about relations between the areas of certain triangles, and another about how to perform translations using only a compass. Notes on Mel Thornton's presentation at the Sketchpad User's Group Meeting in Cincinatti in January 1994.
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 Using Symmetry to Create A Community Quilt (SMILE)  Beverly Brown, Hedges West
A lesson for grades 412 designed to teach students about line and reflectional symmetry through cooperative work on a quilt with four lines of symmetry. From the Patterns and Logic section of a collection of almost 200 single concept lessons by the Science
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 Using Technology to Enhance Engaged Learning for AtRisk Students (NCREL)  Barbara Means; Pathways to School Improvement
A "critical issue": An increasing number of educators are calling for high standards and challenging learning activities for atrisk students. New technologies can provide meaningful learning experiences for all children, especially those at risk of educational
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 Using Technology to Support Education Reform  Means, Blando, Olson, Middleton, Morocco, Remz, & Zorfass
1993 publication of the Office of Educational Research and Improvement, U. S. Department of Education. Includes sections on educational technologies, support for student learning activities, support for teacher functions, effects on student achievement,
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 Using Technology to Transform Mathematics Teacher Education: An Example from Graphing Instruction  Lisa Denise Murphy
An examination of how an example of a use of technology in mathematics education  microcomputerbased laboratory (MBL) work used to teach students about line graphs  fits Pea's framework (the effects of transformation are less predictable than those
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 Using the Balance (SMILE)  Marie Davis, Marconi Community Academy
A lesson designed to teach students to use an equal arm balance to determine the mass of an object by comparing it with the mass of objects whose mass in grams
is known; and to use graph paper to construct a bar graph. From the Algebra and Trigonometry
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 Using the Fibonacci numbers to represent integers  Ron Knott
We use base 10 for written numbers, and computers use base 2, but what about using the Fibonacci numbers as the column headers? or base Phi (1.618034...) instead of base 10? There are some interesting infinite series that relate to these  each with a
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 Using the Geometer's Sketchpad  Jeremy Bartusch, revised by Tony Peressini and Tom Anderson
An interactive tutorial on how to use the Geometer's SketchPad software, and an introduction to how this application can be used to teach geometry and to produce classroom resources with plane geometry components. Sponsored by the University of Illinois
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 Using the Internet: Mathematics  Douglas Butler; Pearson Publishing (U.K.)
A 55page looseleaf book compiled to save teachers time finding excellent resources on the WWW and to provide a curriculumbased bank of ideas. Support activities do not demand that students have free access to the Web. The pack is divided into ten main
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 Using Variables And Ratios To Get You In The Right Gear (SMILE)  George K. Smith, Dunbar Vocational High School
A lesson designed to teach students to apply the concepts of variable and ratio in everyday situations; determine the gear ratios and gears for a 12speed bicycle; and write a computer program that will determine gears using the bubble sort technique.
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 U.S. Metric Association (USMA), Inc.  Don Hillger; Colorado State University
A national nonprofit organization that advocates U.S. conversion to the International System of Units, which goes by the abbreviation SI, also called the modern metric system. The process of changing our system of units to the metric system is called
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 USolvIT  Paul Igodt and Frank De Clerck
In Dutch or English: USolvIT is a database containing thousands of mathematics/physics/statistics problems as an assessment tool. Part of the content is freely accessible via the web. A major part is for use by teachers in course contexts.
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 The U.S. Shirts Problem (PUMP Algebra Project)  Bill Hadley
When PATEOH Furniture Inc. went out of business, you were able to get another job at U. S. Shirts, a custom Tee shirt shop that prints shirts for customers. You job is to calculate costs for the various orders. For each order, U.S. Shirts charges $8
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 US Third in Math Olympiad (Math Chat)  Frank Morgan, MAA Online
Answer to the Challenge: a small creature needs to find its way from a random point on an milewide strip of land to the sea on either side, by going distance r in a random direction and then (if it has not yet found the water), turning once t degrees
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 U Substitution  Technical Tutoring
The site describes the substitution method for solving integral problems by means of numerous examples and exercises.
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 Utah Elementary Mathematics  David A. Smith
Blog of conceptual frameworks and other classroom resources for Utah educators implementing the Utah Core State Standards. Smith, the Elementary Mathematics Specialist at the Utah State Office of Education (USOE), has posted since October, 2013; and also
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 Utilizing the Graphing Calculator in the Secondary Math and Science Classroom  Region IV Education Service Center, Houston, Texas
Stepbystep Flash illustrations on the use of Texas Instruments' TI83+ graphing calculators and data collection devices such as the calculator based ranger (CBR), Graphlink, and calculator based laboratory (CBL).
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 UVM High School Math Contest  Larry Kost, University of Vermont College of Engineering & Mathematics
Tests, with solutions, from contests dating back to the fortyfifth annual high school prize examination, of 2002. The tests consist of about forty questions encompassing number theory, algebra, and geometry. Also, lists of statewide and regional winners,
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 Vagn Lundsgaard Hansen
A personal home page with links to: a mathematical story "I am the greatest," solving and proving/explaining the isoperimetric problem for quadrilaterals; Mathematics and the Public  some experiences with the popularization of mathematics; and Mathematics
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 Valuing as the Key to Unsilencing  Suzanne Alejandre
"At the heart of the Common Core State Standards (CCSS) Initiative is the valued learner, a learner with an active voice in his/her own learning. Under No Child Left Behind (NCLB) practices and assessment many students' voices have fallen silent.... Valuing
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 VA Mathematics Standards of Learning  Virginia Department of Education
Standards for Virginia Public Schools, adopted 2009. The Standards of Learning for Mathematics identify the mathematics content that teachers in Virginia are expected to teach and students are expected to learn. Standards are identified for kindergarten
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 Vancouver Math Tutor  Vlad
Tutoring services for the Vancouver, B.C. (Canada) area; articles on tutoring; and algebra and probability materials used in tutoring.
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 Variance and Covariance: How Much Money Do Baseball Players Really Make? (MSTE)  Ed Malczewski; University of Illinois at UrbanaChampaign (UIUC)
An exploration of idea of variance and how it is used in statistics. The average (mean) salary of a ballplayer in the majors leagues is $1.2 million dollars. Given only this fact, it is easy to see how the perception of the overpaid baseball player was
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 Varsity Tutors  Chuck Cohn, founder and CEO
Varsity Tutors is a private tutoring service in Chicago (with tutors there and in Houston, New York City, Phoenix, St. Louis, and Tucson) that provides premium athome (or mutually agreed location) academic assistance in mathrelated subjects. Varsity
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 VassarStats Statistical Computation  Vassar College
Online Javascript programs on topics such as statistical tests, simulation, correlation and regression: procedures applicable to categorical frequency data; procedures applicable to proportions; procedures applicable to ordinal data; correlation and regression;
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 Vector Calculator  Julio GeaBanacloche
A Java applet intended to give students a "feel" for vectors in two dimensions. It covers components, magnitude and direction, and vector addition.
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 vector.calculus.net (calculus@internet)  Christopher A. Barker
Core topic and course syllabi and menus for Vector/Multivariable calculus dealing with the calculus of many dimensions, specializing in computer visualization and interaction. Threedimensional space geometry; Vector arithmetic and geometry; Derivatives
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 The Vector Cross Product: A JAVA Interactive Tutorial  McNamara, Middleton, Schiff; Dept. of Physics, Syracuse University
You will see a drawing in which the vector labeled c is calculated according to your specifications for the vectors a and b. You move these by clicking on their tips and dragging them around the plane with the mouse. You can also "spin the plane" by clicking
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 Vector Land: An Introduction to 3D Vector Analysis  Paul Kirby
An online course offering Java applets and 3D graphics to teach 3D vectors and related topics such as 3D graphics programming and Newtonian mechanics. Contents: 3D Vectors; The Dot Product; The Cross Product; the Vector Equation of a Line; The Vector
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 Vector (Manipula Math)  International Education Software (IES)
Java applets demonstrate vector geometry concepts: unit vector, area of a parallelogram, inner products, adding and scaling vectors, Ceva's theorem, Menelaus's Theorem, Cramer's rule, the circle of Apollonius, and more.
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 Vectors in Projective Geometry (Question Corner and Discussion Area)  University of Toronto Mathematics Network
A short, basic description of the use of vectors in projective geometry.
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 Vectors  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about vectors, sums of vectors, angles between vectors, and vector spaces, such as "A river flows westward at 8 m/s. A person wants to go directly across the river so that the resultant velocity is 12 m/s northward...."
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 Vectors & Trigonometry  Dave Mason
Problems: Converting from Polar to Cartesian Coordinates; Adding Vectors; Hexagon Inscribed in a Circle; The Earth Curving Away From You; Surveying with a Protractor.
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 VedicMaths.Org  Clive Middleton, Kenneth Williams, and Mark Gaskell
Learn about the ancient system of mathematics of the Vedas through interactive tutorials, research and teaching articles, recommended books and websites, a list of sutras translated from the original Sanskrit, a calendar of events, newsletter, and references
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 VEE: The Visual Elements of Euclid  Ralph Abraham
The Euclid Project is an exfoliation of the Elements of Euclid, the most important math text of all time. It will encompass several books, a CDROM, and an educational environment on the World Wide Web. Its components are: The Visual Elements of Euclid
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 Venn Diagrams  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about Venn diagrams and using them to model sets, intersections, and unions.
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 Ventura Educational Systems
An online store offering product information on GraphPower, Geometry Toolkit, Probability Toolkit, Balancing Act, HandsOn Math Vols. 1, 2, and 3, Puzzle Logic, Algebra Concepts, Geometry Concepts, Coordinate Geometry, and more. The site provides links
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 Vernier Software  Vernier Software
Products and services for classroom data collection. CalculatorBased Laboratory System (CBL) products, such as motion detectors, accelerometers, colorimeters, radiation monitors, and other sensors and curricular materials, allow students to collect and
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 VIAS Encyclopedia  Hans Lohninger, Virtual Institute of Applied Science
An online encyclopedia of science topics, with a Mathematics section as well as a German/English dictionary.
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 The Vibonacci Numbers (Computing Science)  Brian Hayes, American Scientist
A new mathematical constant, from a branch of the Fibonacci number family in which, instead of always adding two terms to produce the next term, you either add or subtract, depending on the flip of a coin at each stage in the calculation. Hayes writes,
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 Videodiscovery
A publisher and distributor of innovative multimedia products for educators and families. Laserdiscs and CDROMs for the K12 and college market. Product offerings now include laserdiscs with accompanying software, as well as CDROMs for both the school
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 Video Lectures in Mathematics  Jerry Farlow
An online pinboard gathering thousands of visual links to a broad range of math videos. Categories include applications of math; famous mathematicians; math education; math humor; math on TV, movies; STEM math initiatives; and "instructional: K12." Farlow
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 The Video Math Tutor  Luis Anthony Ast
The Video Math Tutor web site provides students from 7th grade through college with free and premium ($$$) math videos and printable notes created by a tutor with 23 years of tutoring experience. Topics covered include arithmetic and algebra. TI84 graphing
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 Videos for the Curious Mind  TMW Media Group
A catalog of educational videos, with teacher guides, to supplement classroom, home, or independent study. Tapes include Algebra Tutor, Geography, Understanding Science, the Tell Me Why Children's Video Encyclopedia series based on the books by Arkady
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