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Manipulatives and

Technologies

Their Role in Teaching and Learning Mathematics

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One Algebra TileModel for

x2 - 2x + 2

-1 -x -x2 -y2-y -xy

xyy y2x2x1

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Sample Problem

• If the entire tangram is worth $20, how much is each piece worth?

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Research …

Manipulatives support the conceptual development of important mathematical ideas for tactile and visual learners.

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Research …

• Students learn in the presence of technology.

• Technology should influence the mathematics content taught and how it is taught.

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Research …

“The use of technology can improve the literacy, math and science skills of students, including students at risk of school failure, by engaging them in reality-based, multidisciplinary tasks.” (Edvancenet, n. d.)

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Vision

• Engagement

• Confidence

• Skill development

• Motivation

• Relevance

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Relational Rods

If the brown rod is a whole, what fraction are the red, pink, and orange rods?

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Geoboard

How many different-sized squares can be made on an 11x11 geoboard?

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• Algebra tiles

• Connecting cubes

• Fathom

• Motion sensor

• TI-15 or graphing calculator

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Geometer’s Sketchpad

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In conclusion …

• What impact does the information presented have for us?

• What are our next steps?