using a digital library to teach statistics
DESCRIPTION
ICTCM, March 2006. Using a Digital Library to Teach Statistics. 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. - PowerPoint PPT PresentationTRANSCRIPT
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Using a Digital Library to Teach Statistics
ICTCM, March 2006
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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
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Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout the Learning Cycle
• Specific Examples & Activities
• Your Ideas
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CAUSE
Consortium for the Advancement of Undergraduate Statistics Education
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CAUSEweb: Resources
Digital Library for Undergraduate Statistics Education
www.CAUSEweb.org
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CAUSEweb Searching: Browse Categories
•Lecture Examples•Laboratories•Out-of-class•Teaching Tips•Datasets•Analysis Tools•Curriculum•Humor•Building Blocks•Multimedia
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Browsing by Statistical Topic
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CAUSEweb Advanced Search
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Advanced Searching
• Conditional probability – Keyword– Filter by math level
• Hypothesis testing– Keyword– Math level– Lecture presentation
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A Teaching Example
Applet + Activity
= a “Ready-To-Go” Classroom Lesson= a “Ready-To-Go” Classroom Lesson
Teacher’s View:Teacher’s View:
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Finding “Related” Items
Related (or Companion) Items are Identified
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Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout the Learning Cycle
• Specific Examples
• Your Ideas
![Page 13: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/13.jpg)
Explore
Assess
Lecture
∆ PowerPoint slides∆ Reference Materials∆ History∆ Demonstrations:
◊ Applets◊ Videos◊ Simulations
∆ Data Sets∆ Case Studies∆ Guided Demos∆ Simulations∆ Laboratories
∆ Applets∆ Tutorials
∆ Teacher-directed assessments◊ Laboratories◊ Homework Problems
∆ Self-directed assessments◊ Immediate Feedback
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Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout the Learning Cycle
• Specific Examples
• Your Ideas
![Page 15: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/15.jpg)
Explore
Assess
Lecture
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.
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.
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Explore
Assess
Lecture
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.
![Page 17: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/17.jpg)
Whatever applet we choose goes here. Pause to do a worksheet.
http://www.shodor.org/~rcogan/interactivate/activities/montynew/index.htmlApplet
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Explore
Assess
Lecture
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.
![Page 19: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/19.jpg)
http://www.mathgoodies.com/lessons/vol6/conditional.html
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Explore
Assess
Lecture
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.
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.
![Page 21: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/21.jpg)
http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tutorialsf3/frames6_5B.html
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http://ocw.mit.edu/OcwWeb/Mathematics/18-05Spring-2005/CourseHome/index.htm
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Explore
Assess
Lecture
Introduction to Probability and Statistics
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Explore
Assess
Lecture
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.
This guided applet activity from Wise includes assessment questions that, when answered correctly, allow students to proceed to new concepts.
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Explore
Assess
Lecture
This slide from Sampling
Distributions can help a teacher guide
a discussion on when the sample
mean can be assumed to be
normally distributed.
![Page 26: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/26.jpg)
http://www.stat.psu.edu/~resources/ClassNotes/hrm_08/sld018.htm
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Explore
Assess
Lecture
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.
![Page 28: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/28.jpg)
• Applet
http://kitchen.stat.vt.edu/~sundar/java/applets/CLTApplet.html
Applet
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Explore
Assess
Lecture
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.
This guided applet activity from Wise includes assessment questions that, when answered correctly, allow students to proceed to new concepts.
![Page 30: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/30.jpg)
Using StatCrunch
http://www.statcrunch.com/
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Data -> Simulate Data -> NormalGraphics -> Histogram
Using StatCrunch
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Try:
• Load sample data
• Create a scatterplot
• Calculate summary statistics
• Calculate a T-statistic value
Using StatCrunch
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Explore
Assess
Lecture
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.
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.
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Explore
Assess
Lecture
An in-class activity from the STAR
Library can help introduce the concept
of regression.
![Page 35: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/35.jpg)
http://www.causeweb.org/repository/StarLibrary/activities/buskirk_young2001/
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Insert data into TI-83
http://www.cvgs.k12.va.us/DIGSTATS/Sitemap.html
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Use StatCrunch
• Use StatCrunch to determine the Regression line for the rebound height.
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Explore
Assess
Lecture
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.
![Page 39: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/39.jpg)
Regression
http://stat-www.berkeley.edu/~stark/Java/Html/Correlation.htm
applet
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Explore
Assess
Lecture
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.
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.
![Page 41: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/41.jpg)
http://aerg.canberra.edu.au/cgi-bin/tiegen?/share/www/envirostats/bm/L6/ffq12.tie
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Explore
Assess
LectureThe Intuitor site
contains an introduction to
hypothesis testing, relating it to what
happens at a criminal trial.
DIGSTATS contains examples and data sets, like the one below about Acid Rain.
The ARTIST database contains questions classified by topic and learning outcomes.
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Explore
Assess
LectureThe Intuitor site
contains an introduction to
hypothesis testing, relating it to what
happens at a criminal trial.
![Page 44: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/44.jpg)
http://www.intuitor.com/statistics/T1T2Errors.html
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Explore
Assess
LectureThe Intuitor site
contains an introduction to
hypothesis testing, relating it to what
happens at a criminal trial.
DIGSTATS contains examples and data sets, like the one below about Acid Rain.
![Page 46: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/46.jpg)
http://www.cvgs.k12.va.us/DIGSTATS/Sitemap.html
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Acid Rain Activity
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Evaluate Acid Rain Data using StatCrunch
• Data -> Load Data -> from paste
• Stat -> T Statistics -> One sample
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Explore
Assess
LectureThe Intuitor site
contains an introduction to
hypothesis testing, relating it to what
happens at a criminal trial.
The ARTIST database contains questions classified by topic and learning outcomes.
DIGSTATS contains examples and data sets, like the one below about Acid Rain.
![Page 51: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/51.jpg)
https://ore.gen.umn.edu/artist/index.html
![Page 52: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/52.jpg)
Exploring ARTIST
• Test of Significance: Literacy, Reasoning, Thinking
![Page 53: Using a Digital Library to Teach Statistics](https://reader035.vdocuments.us/reader035/viewer/2022062321/56813e11550346895da7f34c/html5/thumbnails/53.jpg)
Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout the Learning Cycle
• Specific Examples
• Your Ideas