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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 -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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 -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum @ Drexel http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Mathematics Library http://mathforum.org/library/ Math Tools http://mathforum.org/mathtools/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors Donations http://deptapp.drexel.edu/ia/GOL/giftsonline1_MF.asp Ask Dr. Math Books http://mathforum.org/pubs/dr.mathbooks.html _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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