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        MATH TOOLS NEWSLETTER - AUGUST 4, 2007 - No. 54

   ***Graduate Programs in Mathematics Learning and Teaching
   The Math Forum and Drexel University School of
   Education are pleased to announce an online master's
   degree program in Mathematics Learning and Teaching.
   The program capitalizes on the more than ten years of
   experience that the Math Forum has in bringing together
   tens of thousands of students, teachers, educators, and
   mathematics enthusiasts to do mathematics, solve
   problems, and learn from each other. Key aspects of the
   program include:

   * A focus on a problem-based, student-centered,
     and technology-enhanced instructional program and the
     associated challenges of implementing such a program
   * Engaging in professional practices concerning mathematics,
     instructional design, and the study of student learning
   * Seamless integration of teacher education and classroom
   * Developing relationships and communities focused on
     improving mathematics learning and teaching


   Using Technology and Problem Solving to Build
     Algebraic Reasoning
   Teachers explore how technology can help students build
   algebraic reasoning skills as they model and solve
   contextualized problems using a variety of representations,
   including graphs, tables, equations, and words.
   Workshop 6 applications will close Monday, August 6.


   As you browse the catalog, please take a moment to rate a
   resource, comment on it, review it -- or start a new

   Best Tools to create geometric figures
   JimS explains, "I'm teaching geometry for the first time
   in a number of years and would like to find an easy-to-use
   software tool to create common geometric figures with
   appropriate labeling and common geometric markings."

   Tool: Poker Experiment
   The University of Alabama in Huntsville
   Java applet that simulates poker hands (runs from Mozilla
   Firefox). Reports experimental and theoretical
   probabilities on nine different types of hands (5-card).

   Tool: The concept of locus - Math Open Reference
   John Page
   A web page and interactive applet that illustrate the
   concept of locus. The applet shows a model of the plane
   populated with "all" the possible points on the plane.
   Choosing to highlight those that are all a given distance
   from a given point, for example, results in a circle.
   The user can drag the point and change the distance,
   showing the circle moving and changing size.

   Tool: Congruent Triangles - Math Open Reference
   John Page
   An interactive applet and associated web page that
   demonstrate the concept of congruent triangles. Applets
   show that triangles are congruent if they are the same,
   rotated, or reflected. In each case, the user can drag one
   triangle and see how another triangle changes to remain
   congruent to it.

   Tool: Investigation of the Power Spectral Density of
     Duffing's Equation by Equivalent Linearization Method
   Co Hong Tran
   This Maple worksheet considers the non-linear random
   vibration model demonstrated by Duffing's differential
   equation. The stationary random process f(t) is
   satisfied < f(t) > = 0 with the spectral density
   function, Sf(w). To find the solution S x (w) of (*),
   it uses the equivalent linearization method. Free
   registration required.

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                The Math Forum @ Drexel -- 4 August 2007