Transcript Final ICTCM Presentation

Using a Digital Library to Teach
Statistics
ICTCM, March 2006
Using a Digital Library to Teach
Statistics
Lisa Bloomer Green, Ph. D.
Scott McDaniel, Ed. D.
Ginger Holmes Rowell, Ph. D.
Megan Hall*, Ileah McKee*
*Undergraduate Students
Middle Tennessee State University
Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout
the Learning Cycle
• Specific Examples & Activities
• Your Ideas
CAUSE
Consortium for the Advancement of
Undergraduate Statistics Education
CAUSEweb: Resources
Digital Library for Undergraduate Statistics
Education
www.CAUSEweb.org
CAUSEweb
Searching: Browse Categories
• Lecture Examples
• Laboratories
• Out-of-class
• Teaching Tips
• Datasets
• Analysis Tools
• Curriculum
• Humor
• Building Blocks
• Multimedia
Browsing by Statistical Topic
CAUSEweb Advanced Search
Advanced Searching
• Conditional probability
– Keyword
– Filter by math level
• Hypothesis testing
– Keyword
– Math level
– Lecture presentation
A Teaching Example
Teacher’s View:
Applet + Activity
= a “Ready-To-Go” Classroom Lesson
Finding “Related” Items
Related (or Companion) Items are Identified
Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout
the Learning Cycle
• Specific Examples
• Your Ideas
∆ PowerPoint slides
∆ Reference Materials
∆ History
∆ Demonstrations:
◊ Applets
◊ Videos
◊ Simulations
∆ Data Sets
∆ Case Studies
∆ Guided Demos
∆ Simulations
∆ Laboratories
∆ Applets
∆ Tutorials
Explore
Lecture
Assess
∆ Teacher-directed assessments
◊ Laboratories
◊ Homework Problems
∆ Self-directed assessments
◊ Immediate Feedback
Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout
the Learning Cycle
• Specific Examples
• Your Ideas
To help students
understand the use of
conditional probability,
a teacher can lead a
demonstration of the
Monty Hall Problem
using one of the many
available Internet
applets.
Tutorials, such as Mrs.
Glosser’s Math Goodies
Lesson on Conditional
Probability, can be given to
students who miss a class or
students that would like
additional instruction.
Lecture
Explore
Assess
In some self-assessment tools like Trees and Conditional
Probability from Tutorials for Finite Math, students receive
immediate feedback when answering questions including hints for
incorrect answers and steps to correct solutions.
To help students
understand the use of
conditional probability,
a teacher can lead a
demonstration of the
Monty Hall Problem
using one of the many
available Internet
applets.
Lecture
Explore
Assess
Whatever applet
we choose goes
here. Pause to
do a worksheet.
http://www.shodor.org/~rcogan/interactivate/activities/montynew/index.htmlApplet
To help students
understand the use of
conditional probability,
a teacher can lead a
demonstration of the
Monty Hall Problem
using one of the many
available Internet
applets.
Tutorials, such as Mrs.
Glosser’s Math Goodies
Lesson on Conditional
Probability, can be given to
students who miss a class or
students that would like
additional instruction.
Lecture
Explore
Assess
http://www.mathgoodies.com/lessons/vol6/conditional.html
To help students
understand the use of
conditional probability,
a teacher can lead a
demonstration of the
Monty Hall Problem
using one of the many
available Internet
applets.
Tutorials, such as Mrs.
Glosser’s Math Goodies
Lesson on Conditional
Probability, can be given to
students who miss a class or
students that would like
additional instruction.
Lecture
Explore
Assess
In some self-assessment tools like Trees and Conditional
Probability from Tutorials for Finite Math, students receive
immediate feedback when answering questions including hints for
incorrect answers and steps to correct solutions.
http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/t
utorialsf3/frames6_5B.html
http://ocw.mit.edu/OcwWeb/Mathematics/18-05Spring-2005/CourseHome/index.htm
Introduction to
Probability and
Statistics
Lecture
Explore
Assess
This slide from
Sampling
Distributions can
help a teacher guide
a discussion on
when the sample
mean can be
assumed to be
normally distributed.
This applet from Statistical Java
demonstrates the convergence
implied by the central limit theorem
by allowing students to manipulate
sample size, number of samples,
and underlying distribution.
Lecture
Explore
Assess
This guided applet activity from Wise includes assessment
questions that, when answered correctly, allow students to
proceed to new concepts.
This slide from
Sampling
Distributions can
help a teacher guide
a discussion on
when the sample
mean can be
assumed to be
normally distributed.
Lecture
Explore
Assess
http://www.stat.psu.edu/~resources/ClassNotes/hrm_08/sld018.htm
This slide from
Sampling
Distributions can
help a teacher guide
a discussion on
when the sample
mean can be
assumed to be
normally distributed.
This applet from Statistical Java
demonstrates the convergence
implied by the central limit theorem
by allowing students to manipulate
sample size, number of samples,
and underlying distribution.
Lecture
Explore
Assess
• Applet
Applet
http://kitchen.stat.vt.edu/~sundar/java/applets/CLTApplet.html
This slide from
Sampling
Distributions can
help a teacher guide
a discussion on
when the sample
mean can be
assumed to be
normally distributed.
This applet from Statistical Java
demonstrates the convergence
implied by the central limit theorem
by allowing students to manipulate
sample size, number of samples,
and underlying distribution.
Lecture
Explore
Assess
This guided applet activity from Wise includes assessment
questions that, when answered correctly, allow students to
proceed to new concepts.
Using StatCrunch
http://www.statcrunch.com/
Using StatCrunch
Data -> Simulate Data -> Normal
Graphics -> Histogram
Using StatCrunch
Try:
• Load sample data
• Create a scatterplot
• Calculate summary statistics
• Calculate a T-statistic value
An in-class activity
from the STAR
Library can help
introduce the concept
of regression.
Applets like this one from
SticiGui Java Tools
allow students to explore
changes in the data to
see how they affect the
regression line.
Lecture
Explore
Assess
Using self-tests like this one from Biometry: Statistics for
Ecology, students can submit their answers and receive immediate
feedback regarding questions answered correctly and questions or
topics needing improvement.
An in-class activity
from the STAR
Library can help
introduce the concept
of regression.
Lecture
Explore
Assess
http://www.causeweb.org/repository/StarLibrary/activities/
buskirk_young2001/
Insert data into TI-83
http://www.cvgs.k12.va.us/DIGSTATS/Sitemap.html
Use StatCrunch
• Use StatCrunch to determine the
Regression line for the rebound
height.
An in-class activity
from the STAR
Library can help
introduce the concept
of regression.
Applets like this one from
SticiGui Java Tools
allow students to explore
changes in the data to
see how they affect the
regression line.
Lecture
Explore
Assess
Regression
applet
http://stat-www.berkeley.edu/~stark/Java/Html/Correlation.htm
An in-class activity
from the STAR
Library can help
introduce the concept
of regression.
Applets like this one from
SticiGui Java Tools
allow students to explore
changes in the data to
see how they affect the
regression line.
Lecture
Explore
Assess
Using self-tests like this one from Biometry: Statistics for
Ecology, students can submit their answers and receive immediate
feedback regarding questions answered correctly and questions or
topics needing improvement.
http://aerg.canberra.edu.au/cgibin/tiegen?/share/www/envirostats/bm/L6/ffq12.tie
DIGSTATS contains
The Intuitor site
contains an
introduction to
hypothesis testing,
relating it to what
happens at a
criminal trial.
examples and data sets,
like the one below about
Acid Rain.
Lecture
Explore
Assess
The ARTIST database contains questions classified
by topic and learning outcomes.
The Intuitor site
contains an
introduction to
hypothesis testing,
relating it to what
happens at a
criminal trial.
Lecture
Explore
Assess
http://www.intuitor.com/statistics/T1T2Errors.html
DIGSTATS contains
The Intuitor site
contains an
introduction to
hypothesis testing,
relating it to what
happens at a
criminal trial.
examples and data sets,
like the one below about
Acid Rain.
Lecture
Explore
Assess
http://www.cvgs.k12.va.us/DIGSTATS/Sitemap.html
Acid Rain Activity
Evaluate Acid Rain Data using
StatCrunch
• Data -> Load Data -> from paste
• Stat -> T Statistics
-> One sample
DIGSTATS contains
The Intuitor site
contains an
introduction to
hypothesis testing,
relating it to what
happens at a
criminal trial.
examples and data sets,
like the one below about
Acid Rain.
Lecture
Explore
Assess
The ARTIST database contains questions classified
by topic and learning outcomes.
https://ore.gen.umn.edu/artist/index.html
Exploring ARTIST
• Test of Significance: Literacy,
Reasoning, Thinking
Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout
the Learning Cycle
• Specific Examples
• Your Ideas
Lisa Green
[email protected]
Scott McDaniel
[email protected]
Ginger Holmes Rowell
[email protected]