Math Forum Internet News

Volume 2, Number 7

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 17 February 1997                              Vol. 2, No. 7

               THE MATH FORUM INTERNET NEWS

 DAU Tutorial | Undergrad Research | NCTM Standards: Proofs


  FEATURED INTERNET RESOURCE: DAU MATH REFRESHER TUTORIAL 

          http://www.cne.gmu.edu/modules/dau/math/

  The Math Forum's February 'hot spot' features this
  interactive tutorial, which gives a comprehensive view
  of basic mathematics. It includes practice problems 
  and self-tests, covering:

       - arithmetic, fractions, exponents
       - logarithms, quadratic equations
       - series, functions, limits
       - graphing functions, derivatives, integrals

  Written for Defense Acquisition University (DAU) course
  participants, the tutorial can help students of any age
  with math at the middle school level and beyond. 

  The Statistics Refresher Tutorial covers topics in basic 
  probability (random variables, expectations, distribution) 
  and statistics (regression, data analysis, clustering).

         http://www.cne.gmu.edu/modules/dau/stat/


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   SUMMER AND OTHER RESEARCH OPPORTUNITIES FOR UNDERGRADS

  http://mathforum.org/students/undergrad.opps.html


  The National Science Foundation has recently posted a
  tentative list of sites, projects, and contact people
  for Research Experiences for Undergraduates (REU) for
  summer 1997.

  In addition, the Forum can help you find summer programs
  at the Argonne National Laboratory, the Cornell Theory
  Center for Supercomputing, the IAS/Park City Mathematics
  Institute, and the Army High Performance Computing
  Research Center (AHPCRC). 

  We've also located a number of summer research
  opportunities exclusively for women. 

  Don't wait to investigate these possibilities, since 
  some applications are due the beginning of March.


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             PROOFS AND MATHEMATICAL STRUCTURE
           A discussion from the NCTM-L archive
                hosted by the Math Forum

  http://mathforum.org/epigone/nctm-l/joizaxcran

   Do the NCTM Standards give short shrift to what is 
   arguably the most basic and vital mathematical  
   structure of all: proof?  If so, does this constitute 
   rejecting mathematical structure?  

In a previous discussion, "Parent's messages," a contributor 
suggested that readers search the Standards for occurrences 
of the word 'proof'. 

This conversation, "Proofs and Mathematical Structure,"
takes up the effect of the word's omission, the need for and
value  of precise  mathematical arguments, the difficulty
of translating everyday language into a form that can be 
analyzed, and the call for manuscripts addressing the role
and nature of proof in a Standards-based curriculum.

     The NCTM Standards are available on the Web at

  http://enc.org/reform/journals/ENC2280/280dtoc1.htm


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