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```        MATH TOOLS NEWSLETTER - NOVEMBER 6, 2004 - No. 20

After a year and a half, over five thousand of you have joined
the Math Tools community, contributing just as many resources
and discussion messages along the way. Thank you for everything
that you bring to our work!

We particularly appreciate how you've responded to existing
posts. Beyond adding knowledge that way, we encourage you to
facilitate discussions -- by clarifying, asking questions, or
summarizing.

And of course -- if you know folks who might find the discussion
of particular interest, but who haven't registered for Math Tools,
invite them to do so and enrich the conversation.

***FEATURED DISCUSSION
Fractions, concept and calculations
Cynthia asks, "How do you teach conceptual understanding
of fractions? What tools have you found to be effective,
and likewise how do you teach computational fluency with
fractions and what tools are effective?"

***FEATURED DISCUSSION
Role of MathDrag'n program in education
Haertchen explains, "I have developed a rudimentary program
that allows the user to manipulate algebra through drag-and-drop.
I am more interested here in whether it would be a useful
educational tool, and if so what it would be useful for."

***FEATURED DISCUSSION
Mutually Exclusive and Complementary Events
Tackweed writes, "I would appreciate any supplementary
materials, approaches and/or experiences for incorporating
the concepts of complementary and mutually exclusive events
to independent events at the middle school level."

***FEATURED TOOL
Tool: Baseball Multiplication
emGames
http://mathforum.org/mathtools/tool/15568/
A Flash game of multiplication. Click the dice to get the
first "pitch." Multiply the numbers on the dice, and use the
result to get a single, double, triple, or strike out,
according to the chart. Aligned with the Everyday Mathematics
curriculum.

***FEATURED TOOL
Tool: Stretching Ruler
Jeff Barrett
http://mathforum.org/mathtools/tool/15561/
This set of activities introduces students to mathematical
foundations of measurement, and especially to the concept of
the unit of measurement. Students create their own rulers to
measure different objects.

***FEATURED TOOL
Tool: Color by Numbers
Nathalie Sinclair
http://mathforum.org/mathtools/activity/15564/
Students investigate patterns produced on a grid of numbers
generated through addition and multiplication of the whole
numbers. The focus is on elementary number theory concepts
such as even/odd, factors, multiples, divisibility, and the

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