Math Forum Internet News

Volume 10, Number 8

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21 February 2005                                 Vol. 10, No. 8

             THE MATH FORUM @ DREXEL INTERNET NEWS

  What the US Can Learn from Singapore's Mathematics System
          Geometry Module | Solving Linear Equations


 WHAT THE UNITED STATES CAN LEARN FROM SINGAPORE'S WORLD-CLASS
       MATHEMATICS SYSTEM (AND WHAT SINGAPORE CAN LEARN
         FROM THE UNITED STATES): AN EXPLORATORY STUDY

             http://www.air.org/news/default.aspx

  This study by the American Institutes for Research compares
  the teaching of elementary school mathematics in the United
  States and Singapore. It reports that, on the one hand,
  Singapore's textbooks and assessment examinations are more
  demanding, and that their teachers are more skilled
  mathematically. On the other hand, the study states that U.S.
  approaches often put more emphasis on certain important
  21st century math skills.

  The following documents can be downloaded in PDF format:

    - The Full Report
      To easily access the report by sections, click on the
      Bookmarks tab on the left side of the report for a chapter
      by chapter listing.

    - A Summary of State Specific Results on Mathematics
      Frameworks and Assessments Compared with Singapore

    - Comparisons of Sample Questions on Singapore's Grade 6
      Student Assessment, Selected State Assessments and the
      U.S. Praxis II Teacher Licensing Exam

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                       GEOMETRY MODULE

         http://rusmp.rice.edu/geometrymodule/index.htm

  The Geometry Module developed by the Rice University School
  Mathematics Project (RUSMP) utilizes construction tools,
  manipulatives, and technology to:

    - address various learning styles
    - model or represent mathematical concepts
    - abstract from the manipulative representations
    - construct and explore mathematical properties of
        geometric objects
    - generate authentic data
    - progress participants through the van Hiele levels

  The appropriate use of construction tools, manipulatives,
  graphing calculators, Geometer's Sketchpad, and the Java
  software NonEuclid is incorporated into module materials.

  Each section of the module can be downloaded from the site
  in PDF format.

  RUSMP developed the Geometry Module as a comprehensive
  teacher training module with funding from the Texas
  Education Agency and the Texas Higher Education Coordinating
  Board. 

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                   SOLVING LINEAR EQUATIONS

       http://whyslopes.com/etc/solvingLinearEquations/

  Alan Selby has added a new section called Solving Linear
  Equations to his site "Appetizers and Lessons for Mathematics
  and Reason." The section introduces stick diagrams as a way
  to "provide a concrete context for many of the rules or
  patterns for solving equations -- a context that may develop
  equation solving skills and confidence informally before the
  algebraic statement of the rule and patterns for solving
  equations."

  Selby organized his pages under these topics:

    - Letters and Lengths
    - Stick Diagrams
    - Beyond Sticks
    - Almost One
    - Binary Systems
    - Larger Systems

  The earlier online chapter 15, Linear Equations, offers
  further information and examples for the development of
  algebraic reasoning skills in the solution of linear
  equations.

    http://whyslopes.com/etc/ThreeSkillsForAlgebra/ch15.html
  
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