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Michelle Everson

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Understand the differences between mean and median in their interpretation and properties. ... Move one Post-It Note to 24 years. ... – PowerPoint PPT presentation

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Title: Michelle Everson


1
Using Web Applets to Foster Active Learning
inthe Online Statistics Course
  • Michelle Everson
  • Department of Educational Psychology
  • University of Minnesota
  • gaddy001_at_umn.edu

2
Acknowledgements
  • This work would NOT have been possible without
    support from the following people
  • My colleagues Joan Garfield, Bob delMas, Andy
    Zieffler
  • Initial idea for project came from an AIMS
    workshop, Summer 2008 (http//www.tc.umn.edu/aim
    s/)
  • U of M College of Education Academic Technology
    Services
  • Dr. David Ernst, Director of ATS
  • Brad Hosack, New Media Developer
  • Educational Psychology Department ChairDr. Susan
    Hupp

3
Background
  • In the classroom, our courses often involve lots
    of activity and discussion on the part of
    students
  • Many activities in the classroom are hands-on
    and involve the use of different manipulatives
    (e.g., Post-it Notes, coins, dice, Reeses Pieces
    candies, MMs, cookies, Gummy Bears, Pass the
    Pigs, etc.)
  • As an online instructor, I have been interested
    in ways to replicate hands-on activities in the
    online environment
  • One way to replicate such activities might be to
    create applets that simulate the hands-on
    experience

4
The Post-it Note Activity
  • Students are broken into small groups of about 3
    or 4 (note that our typical class sizes are
    roughly 30 students)
  • Each group is given a small stack of 10 Post-it
    Notes and a number line students use these
    materials to work through questions on an
    activity sheet

5
Student Learning Goals of the Activity
  • Develop a conceptual understanding of the mean.
  • Understand the idea of deviations (differences
    from the mean) and how they balance out to zero.
  • Understand how these deviations cause the mean to
    be influenced by extreme values.
  • Develop an understanding of the median as a
    middle value that is resistant to extreme values.
  • Understand the differences between mean and
    median in their interpretation and properties.
  • Understand how to select appropriate measures of
    center to represent a sample of data.

6
What the Activity Looks Like in the Classroom
7
Sample Questions from the Activity
  • Move one Post-It Note to 24 years. How can you
    move one or more of the other Post-It Notes so
    that you keep the mean at 21 years? Is there more
    than one way to do this? Explain.
  • Next, move all the Post-It Notes so that none of
    the ages are 21 years, yet the mean age is still
    21 years. Describe what you did.
  • If you change one value so it has a deviation of
    -3, what do you have to do one or more values to
    keep the mean at 21 years?
  • Now move all of the values that are above 21
    years so that each one has a higher value than it
    does currently. Did this have any effect on the
    median? Explain.

8
How might the activity be adapted for an online
environment?
  • Given that it might be too much to expect
    students to purchase their own Post-it Notes and
    create their own number lines, we wanted to come
    up with other ways students could engage in this
    activity
  • Initially, we tried using Fathom
  • Online students were given instructions and
    questions to answer very similar to those given
    to classroom students, but online students
    manipulated dots on a dot plot in Fathom rather
    than Post-it Notes
  • Students worked through the activity on their own
    and then shared their answers and discussed the
    activity in small online discussion groups

9
Replicating the Post-it Note Activity in Fathom
10
The Sticky Centers Applet
  • http//projects.cehd.umn.edu/EdPsy/sc/

11
How we have used the applet in the online course
  • Students are broken into small discussion groups
    (4 to 6 students)
  • Students have one week to discuss assignments
    with their group
  • For this particular assignment, students
  • Use the applet on their own and post their
    answers to a series of questions in their
    assigned discussion group by Wednesday at 10
    p.m..
  • Come back at least twice to the discussion and
    comment on the thoughts and ideas posted by their
    peers (and answer any instructor questions) in an
    effort to arrive at a group response for the
    assignment
  • One group member summarizes the group response
    and submits the summary to the instructor by the
    following Monday at 10 p.m.

12
Our next project.
  • Is there a way we can design an applet that will
    lead to rich online discussions that involve
  • Talking about the basic elements of experimental
    design
  • Considering factors that lead to within groups
    and between groups variability
  • Exploring ways to graph and summarize data in
    order to compare groups
  • Discussing how a two-sample t-test can be used to
    determine if there is a significant difference
    between groups
  • In the classroom, we might use the Gummy Bears
    activity (Cobb Miao, 1998 Scheaffer,
    Gnanadesikan, Watkins, Witmer, 1996) to
    introduce many of these ideas to students. Can
    we somehow create a Gummy Bears applet???

13
The Gummy Bears Applet
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