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Virtual Manipulatives In the Elementary Math Classroom Cindy Wright Instructional Technology Specialist Columbus Public Schools Ohio SchoolNet Presentation 2005
National Council of Teachers of Mathematics The Technology Principle Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning. The teacher must make prudent decisions about when and how to use technology and should ensure that the technology is enhancing students' mathematical thinking.
Overview: Principles for School Mathematics   The six principles for school mathematics address overarching themes : Equity.  Excellence in mathematics education requires equity—high expectations and strong support for all students. Curriculum.  A curriculum is more than a collection of activities: it must be coherent, focused on important mathematics, and well articulated across the grades.  Teaching.  Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well.  Learning.  Students must learn mathematics with understanding, actively building new knowledge from experience and prior knowledge.  Assessment.  Assessment should support the learning of important mathematics and furnish useful information to both teachers and students.  Technology.  Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning.
Concrete Manipulatives
Virtual Manipulatives Interactive Web-based visual representation of a dynamic object that presents opportunities for constructing mathematical knowledge.
Two Types of Virtual Manipulatives Static Essentially pictures Resemble concrete manipulatives but cannot be manipulated http://www.visualfractions.com/ Images change on the screen, but the user cannot move or manipulate the image. Dynamic Essentially objects Can be manipulated just like concrete manipulatives Student can slide, flip, rotate, etc. Provides opportunity make meaning and see relationships as a result of one’s own actions http://www.frontiernet.net/~imaging/java-3d-engine.html
Benefits of using Virtual Manipulatives Math and technology integration are powerful partners in meeting standards Free access for schools that are online Available anywhere, anytime, to anyone Easier to store, and clean up Older children may view using virtual manipulatives as more sophisticated Unlimited numbers available, can print out work Offers options for students with special needs
Challenges of using Virtual Manipulatives Teachers need ongoing professional development Teachers need up to date tools and time to understand how they fit into the curriculum Locating Resources that meet curriculum standards
Using Virtual Manipulatives in the Classroom In this video, a third grade class studies probability. To help enhance students' understanding of probability, the teacher introduces a software program designed to simulate the rolling of dice on a large scale. Students predict the outcome and then examine the results to see how accurate their predictions were. This lesson uses the Silver Burdette  Interactive Mathematics  software, but many similar programs are available online or with other mathemetics curricula. To play the video, click "Watch this clip" under the photograph.  http:// nces.ed.gov/nceskids/probability /
How to Find Virtual Manipulatives
National Library of Virtual Manipulatives http:// matti.usu.edu/nlvm/nav / Utah State University Bar Graphs Base Ten Blocks Subtraction
HarcourtSchool.com     	http:// www.harcourtschool.com/elab/index.html Extensive collection of interactive applets for grades 3-8.  Activities to accompany each are provided.  You can download an E-Lab activity and use it without being connected to the internet.  While working on internet, Microsoft Java VM is recommended.  Later versions of Java will be supported soon for online activity.
Arcytech Arcytech's  Educational Java Programs  are  primarily for   elementary and middle school students .  http://www.arcytech.org
NCTM Illuminations Electronic Examples http://standards.nctm.org/document/eexamples/index.htm Web Resources http:// illuminations.nctm.org/swr/list.asp?Ref =2&Std=9
Shodor http://www.shodor.org/interactivate/index.html
Mathcats http://www.mathcats.com/contents.html
Closing As virtual manipulatives are enhanced and become more available, the possibilities for use are limited only by the creativity of the teachers and students who work with them.  ~ Patricia S. Moyer
Contact Information Cindy Wright  Instructional Technology Specialist Columbus Public Schools 737 E. Hudson St. Columbus, OH 43211 (614) 365-5102 [email_address]

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Virtual Manipulatives

  • 1. Virtual Manipulatives In the Elementary Math Classroom Cindy Wright Instructional Technology Specialist Columbus Public Schools Ohio SchoolNet Presentation 2005
  • 2. National Council of Teachers of Mathematics The Technology Principle Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning. The teacher must make prudent decisions about when and how to use technology and should ensure that the technology is enhancing students' mathematical thinking.
  • 3. Overview: Principles for School Mathematics The six principles for school mathematics address overarching themes : Equity. Excellence in mathematics education requires equity—high expectations and strong support for all students. Curriculum. A curriculum is more than a collection of activities: it must be coherent, focused on important mathematics, and well articulated across the grades. Teaching. Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well. Learning. Students must learn mathematics with understanding, actively building new knowledge from experience and prior knowledge. Assessment. Assessment should support the learning of important mathematics and furnish useful information to both teachers and students. Technology. Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning.
  • 5. Virtual Manipulatives Interactive Web-based visual representation of a dynamic object that presents opportunities for constructing mathematical knowledge.
  • 6. Two Types of Virtual Manipulatives Static Essentially pictures Resemble concrete manipulatives but cannot be manipulated http://www.visualfractions.com/ Images change on the screen, but the user cannot move or manipulate the image. Dynamic Essentially objects Can be manipulated just like concrete manipulatives Student can slide, flip, rotate, etc. Provides opportunity make meaning and see relationships as a result of one’s own actions http://www.frontiernet.net/~imaging/java-3d-engine.html
  • 7. Benefits of using Virtual Manipulatives Math and technology integration are powerful partners in meeting standards Free access for schools that are online Available anywhere, anytime, to anyone Easier to store, and clean up Older children may view using virtual manipulatives as more sophisticated Unlimited numbers available, can print out work Offers options for students with special needs
  • 8. Challenges of using Virtual Manipulatives Teachers need ongoing professional development Teachers need up to date tools and time to understand how they fit into the curriculum Locating Resources that meet curriculum standards
  • 9. Using Virtual Manipulatives in the Classroom In this video, a third grade class studies probability. To help enhance students' understanding of probability, the teacher introduces a software program designed to simulate the rolling of dice on a large scale. Students predict the outcome and then examine the results to see how accurate their predictions were. This lesson uses the Silver Burdette Interactive Mathematics software, but many similar programs are available online or with other mathemetics curricula. To play the video, click "Watch this clip" under the photograph. http:// nces.ed.gov/nceskids/probability /
  • 10. How to Find Virtual Manipulatives
  • 11. National Library of Virtual Manipulatives http:// matti.usu.edu/nlvm/nav / Utah State University Bar Graphs Base Ten Blocks Subtraction
  • 12. HarcourtSchool.com http:// www.harcourtschool.com/elab/index.html Extensive collection of interactive applets for grades 3-8.  Activities to accompany each are provided.  You can download an E-Lab activity and use it without being connected to the internet.  While working on internet, Microsoft Java VM is recommended.  Later versions of Java will be supported soon for online activity.
  • 13. Arcytech Arcytech's Educational Java Programs are primarily for elementary and middle school students .  http://www.arcytech.org
  • 14. NCTM Illuminations Electronic Examples http://standards.nctm.org/document/eexamples/index.htm Web Resources http:// illuminations.nctm.org/swr/list.asp?Ref =2&Std=9
  • 17. Closing As virtual manipulatives are enhanced and become more available, the possibilities for use are limited only by the creativity of the teachers and students who work with them. ~ Patricia S. Moyer
  • 18. Contact Information Cindy Wright Instructional Technology Specialist Columbus Public Schools 737 E. Hudson St. Columbus, OH 43211 (614) 365-5102 [email_address]