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Virtual Manipulatives

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PPT explanation of virtual manipulatives with many examples. Updated 2006

PPT explanation of virtual manipulatives with many examples. Updated 2006

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    • 1. Virtual Manipulatives In the Elementary Math Classroom Cindy Wright Instructional Technology Specialist Columbus Public Schools National Education Computing Conference July 2006
    • 2. National Council of Teachers of Mathematics
      • The Technology Principle
      • Technology is an essential tool for teaching and learning mathematics effectively; it extends the mathematics that can be taught and enhances students' learning
      • Technologies are essential tools within a balanced mathematics program. Teachers must be prepared to serve as knowledgeable decision makers in determining when and how their students can use these tools most effectively.
      • http://standards.nctm.org/document/chapter2/techn.htm
    • 3. NCTM Recommendations
      • Every school mathematics program should provide students and teachers with access to tools of instructional technology, including appropriate calculators, computers with mathematical software, Internet connectivity, handheld data-collection devices, and sensing probes.
      • Preservice and in-service teachers of mathematics at all levels should be provided with appropriate professional development in the use of instructional technology, the development of mathematics lessons that take advantage of technology-rich environments, and the integration of technology into day-to-day instruction.
      • Curricula and courses of study at all levels should incorporate appropriate instructional technology in objectives, lessons, and assessment of learning outcomes.
      • Programs of preservice teacher preparation and in-service professional development should strive to instill dispositions of openness to experimentation with ever-evolving technological tools and their pervasive impact on mathematics education.
      • Teachers should make informed decisions about the appropriate implementation of technologies in a coherent instructional program.
      • http://www.nctm.org/about/position_statements/position_statement_13.htm
    • 4. 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.
      • http://standards.nctm.org/document/chapter2/
    • 5. Let's Compare.... Concrete and Virtual Manipulatives
    • 6. Concrete Manipulatives
    • 7. Virtual Manipulatives
      • "an interactive, Web-based visual representation of a dynamic object that presents opportunities for constructing mathematical knowledge"
      • http://my.nctm.org/eresources/view_media.asp?article_id=1902
      • http://www.ct4me.net/math_manipulatives.htm#Definition
    • 8. Two Types of Virtual Manipulatives according to Judy Spicer
      • 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
    • 9.  
    • 10. 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; thus providing for differentiated instruction.
      • Students like the immediate feedback they receive from the applets, the virtual manipulatives are easier and faster to use than paper-and-pencil, and they provide enjoyment for learning mathematics. 
    • 11. 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 and aligning Resources to meet curriculum standards
      • Finding enough working computers for all students
      • Following up usage with reflection to enhance the understanding of concepts
      • Assessing learning using the tools
    • 12.  
    • 13. 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 mathematics curricula. To play the video, click "Watch this clip" under the photograph. http:// nces.ed.gov/nceskids/probability /
    • 14. How to Find Virtual Manipulatives
    • 15. Marco Polo http://www.marcopolo-education.org/home.aspx
    • 16. National Library of Virtual Manipulatives http:// matti.usu.edu/nlvm/nav / Utah State University NSF supported project Began in 1999
    • 17. eNLVM http://enlvm.usu.edu/ma/nav/doc/intro.jsp
      • Extending and Enhancing the National Library of Virtual Manipulatives
      Tracking Tools Math Modules Collaboration Adaptation Tools
    • 18. HarcourtSchool & Other Publisher Sites
      • http:// www.harcourtschool.com/elab/index.html
      • Extensive collection of interactive applets for grades 3-8.  Activities to accompany each one are provided.  You can download an E-Lab activity and use it without being connected to the internet. 
    • 19.
      • http://www.glencoe.com/sites/ohio/teacher/mathematics/index.html
      • Links to activities that are in the Teacher’s Guide
    • 20. Arcytech
      • Problem Solving Java Applets –
      • The objectives of the applets are:
      • There should be a problem to be solved -- students need to acquire knowledge, through a discovery process, to be able to solve the stated problems
      • The problems should motivate the students -- Students should feel rewarded by solving the problems
      • The topic of the applet should be of interest to the students. Something they can relate to and something that can be part of the curriculum
      • http://www.arcytech.org/arcytech/awards.html#patterns_fbk
      http://www.arcytech.org
    • 21. 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
    • 22. Shodor
      • http://www.shodor.org/interactivate/activities/index.html
      http://www.shodor.org/interactivate/activities/fracfinder1/index.html .
    • 23. Mathcats
      • http://www.mathcats.com/contents.html
    • 24. Math Forum http://www.mathforum.org/mathtools/
      • http://mathforum.org/mathtools/cell/ALL,ALL,ALL,hh/
      • Can Browse the Catalog by course and Type of Technology used
    • 25. http:// www.ies.co.jp /math/products/
      • The material presented is for middle school students, high school students, college students, and all who are interested in mathematics. You will find interactive programs that you can manipulate and a lot of animation that helps you to grasp the meaning of mathematical ideas.
    • 26. Ron Eglash's culturally situated design tools
      • http://www.rpi.edu/~eglash/csdt.html
    • 27. 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
    • 28. 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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