Virginia Society for Technology in Education Conference

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Virginia Society for Technology in Education
Conference

• February 24, 2009
• Jeffrey J. Steckroth
• Old Dominion University

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Virtual MathematicsUsing Technology to
Connect Teachers and Learners
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TEACHING AND LEARNING FORMATS
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Instructional Formats

• Live
• One-to-one
• One-to-many
• Synchronous
• Asynchronous
• Video Stream
• Televised

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BACKGROUND
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CENTER FOR TECHNOLOGY AND TEACHER EDUCATION AT UVA
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Steckroth Research

• Trigonometry
• High School Precalculus classes
• Radians, Reference Angles, and the Unit Circle

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Tools and Findings

• Marys radian project
• Geometers Sketchpad
• PowerPoint
• SMART Board

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Dynamic Image Manipulation

• DIM (Bull and Garofalo, 2008)

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EXAMPLES
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What the HELL is a Radian?
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Trigonometry Study
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GUIDELINES FOR THE TEACHING OF VIRTUAL
MATHEMATICS
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Guidelines

• Keep students involved
• Enable hands-on remote participation
• Provide clear instructions
• Share links in advance
• Minimize costs to students

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ONLINE RESOURCES
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UVA Applets
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Calculus
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Statistics
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Sampling Distribution of the Mean

• http//www.teacherlink.org/content/math/interactiv
  e/flash/sampling/samplingmean.html

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Fractions
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DYNAMIC GEOMETRY SOFTWARE
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DYNAMIC GEOMETRY SOFTWARE

• The Geometers Sketchpad
• GeoGebra

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Sketchpad Online

• Citrix Farm The ODU Remote Lab
• All students have access

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GSP Projects

• Math 302 Geometry
• Geometric Solids

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GEOMETRY RESOURCES ONLINE
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Geometers Sketchpad Files

• Archimedes Theorem of the Broken Chord

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GEOGEBRA
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Geogebra

• www.geogebra.net
• Free online software
• Similar to the Geometers Sketchpad

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SMART Notebook Recordings
Made with SMART Notebook
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GRAPHING CALCULATOR
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Graphing Calculator
TI-84 Texas Instruments
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TI-SmartView

• Multiple Representations
• Algebraic
• Graphical
• Numerical

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Solving Equations
Document Camera used to demonstrate solutions.
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Base 1
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Exponent 0
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TI-SmartView

• Video Clip from Saturday class

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Feedback and Communication

• Live audience
• Remote on camera
• Remote off camera (audio only)
• Video streamers (text only)
• Asynchronous audience (email and virtual office
  hours only)

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SMART Notebook

• SMART Sympodium

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ANNENBERG MEDIA
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Annenberg

• Video Clips
• Simulations

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Video Variation

• http//www.learner.org/courses/learningmath/video/
  data/wmp/d2b1.html

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Simulation Sampling

• http//www.learner.org/courses/learningmath/data/s
  ession1/part_d/random.html

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MORE SIMULATIONS
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More Simulations

• National Library of Virtual Manipulatives
• NCTM Illuminations
• Explore Learning

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NATIONAL LIBRARY OF VIRTUAL MANIPULATIVES
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NLVM
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NLVM

• http//nlvm.usu.edu/en/nav/vlibrary.html

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NCTM ILLUMINATIONS
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NCTM Illuminations
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EXPLORE LEARNING
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ExploreLearning.com

• Line of Best Fit using Least Squares

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Explore Learning
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ExploreLearning.com

• http//www.explorelearning.com/index.cfm?methodcR
  esource.dspViewResourceID144ClassID544397

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ORIGINAL PRODUCTIONS
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Faculty Innovator Grant
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FIG Grant Video Clip

• http//www.lions.odu.edu/jritchie/steckroth/

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Sketchpad File
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WRAP UP
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Conclusion

• Dynamic Image Manipulation
• Animations and Simulations
• Software
• Online Resources
• Graphing Calculator
• Video Streaming/Televising of Courses
• Email support

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Sharing

• jsteckro_at_odu.edu
• http//www.odu.edu/jsteckro/