


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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